The logarithmic equation is:
log₂128 = x
So the correct option is the third one
How to rewrite this as a logarithmic equation?
Here we have the expression.
2ˣ = 128
Now, if we apply the natural logarithm to both sides, we can get:
ln(2ˣ) = ln(128)
Because of the property of natural logarithms, we can write the left side as:
ln(2ˣ) = x*ln(2) = ln(128)
Now, if we isolate x, we get:
x = ln(128)/ln(2)
And remember that:
ln(k)/ln(n) = logₙ(k)
Then we can rewrite the logarithmic equation as:
x = log₂(128)
Which is the third option.
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Show your work and hurry please
Answer:
15
Step-by-step explanation:
Note: Take note , absolute value will give the magnitude of the value. (Which means ignoring the + / - signs.)
Eg. | - 19 | = 19
Therefore,
[tex] \frac{12(30 - (9 + {4}^{2})) }{10 - | - 6| } \\ = \frac{12(30 - (9 + 16))}{10 - 6} \\ = \frac{12(30 - 25)}{4} \\ = \frac{12(5)}{4} \\ = \frac{60}{4} \\ = 15[/tex]
How many different anagrams (including nonsensical words) can be made from the letters in the word statistics, using all the letters?
50,400 different anagrams can be made from the letters in the word statistics.
Given word : STATISTICS
Anagrams are words formed by jumbling the positions of the letters given in the word.
For such problems we do factorial of number of words and divide by the repeated letters factorials.
Total number of letters = 10
They can be permutated among themselves in 10! ways.
Some letters are repeated in word STATISTICS
Since, there are 3 S's and 3 T's and 2 I's
So, Number of anagrams = [tex]\frac{10!}{3!.3!.2!}[/tex]
= [tex]\frac{10 \times 9 \times 8 \times 7 \times 6 \times 5 \times 4 \times 3!}{3! \times 3 \times 2 \times 1 \times 2 \times 1}[/tex]
= [tex]\frac{10 \times 9 \times 8 \times 7 \times 6 \times 5 \times 4}{3 \times 2 \times 2}[/tex]
= 10 × 9 × 8 × 7 × 2 × 5
= 50,400
50,400 different anagrams can be made from the letters in the word statistics.
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Match the scenarios to their corresponding boundaries.
The correct choices based on the integers are: 1a, 2b, 3d, and 4c.
In the question, we are asked to match the scenarios to their corresponding boundaries.
miles traveled by a car in one hour: this can be non-negative numbers as the distance traveled by a car cannot be negative, but it is not infinitely possible, making the right option a. numbers between 0 and 70.average Celsius temperature in Antarctica: is mostly negative, and even if positive, very low. making the right option b. numbers between -100 and 20.amount of money owed on a car: this can be any non negative number without limit, making the right option d. no negative numbers.age when a baby takes their first step: as its an age it wont be a negative number, and its a baby age so it will be very small, making the right option, c. no negative numbers and positive numbers less that 2.Thus, the correct choices based on the integers are: 1a, 2b, 3d, and 4c.
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need help finding the measurement of s
Answer:
∠S = 66°
Step-by-step explanation:
A parallelogram's 4 angles always add up to 360°, and opposite angles are the same. (∠S = ∠U; ∠T = ∠V)
So, ∠S + ∠T = 180°.
180° = (2x + 4x + 12 + 6)°
180° = (6x + 18)°
162° = (6x)°
27° = x°
(2x + 12)° = ∠S
(2(27) + 12)° = ∠S
(54 + 12)° = ∠S
66° = ∠S
general term for -13, -11, -9, -7
The general term for the arithmetic sequence; -13, -11, -9, -7 is Tn = -15 - 2n.
Arithmetic progression-13, -11, -9, -7
First term, a = -13Second term = -11Common difference, d = Second term - first term
= -11 - (-13)
= -11 + 13
= 2
Therefore,
Tn = a + (n - 1)d
Where,
n = number of termsTn = a + (n - 1)d
= -13 + (n - 1)2
= -13 - 2n - 2
Tn = -15 - 2n
So therefore, the general term for the arithmetic sequence; -13, -11, -9, -7 is Tn = -15 - 2n.
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product of squre of x and cube of y
Answer:
x²y³
Step-by-step explanation:
(x²) (y³) = x²y³
Hope it helps!
Have a nice day:)
❄ Hi there,
let us find the product of the square of x and the cube of y.
[tex]\sf{The \ square \ of \ x: \ x^2}\\\sf{The \ cube \ of \ y: y^3}\\\sf{The \ product \ of \ the \ two: x^2y^3}[/tex]
The square of x means: x times x, or, as I said earlier, x².
The cube of y means: y times y times y, or, as I said earlier, [tex]\sf{y^3}[/tex].
The product means: you multiply x² times y³.
❄
Which element of expectancy theory could be phrased as the question, "what’s the probability that, if i do a good job, that there will be some kind of outcome in it for me?"
The expectancy theory that could be phrased as the above question is based on the element called expectancy.
In this question,
Expectancy theory proposes that an individual will behave or act in a certain way because they are motivated to select a specific behavior over others due to what they expect the result of that selected behavior will be.
To make the connection between motivation, effort and performance, expectancy theory has three variables: Expectancy, Instrumentality and Valence.
Expectancy theory consists of three basic components:
(1) The employee's expectancy that working hard will lead to his or her desired level of performance;
(2) The employee's expectancy that working hard will thus ensure that rewards will follow; and
(3) Whether or not the employee's perception that the outcome of working hard is worth the effort or value associated with hard work.
VIE expectancy theory is often formulated using the equation MF (motivational forces) = V (valence) x I (instrumentality) x E (expectancy).
From the definition, the probability that, "if i do a good job, that there will be some kind of outcome in it for me" is comes under the element expectancy(E).
Hence we can conclude that the expectancy theory that could be phrased as the above question is based on the element called expectancy.
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.
y = x2 + 3
y = x + 5
You deal 7 cards off of a 52-card deck and line them up in a row. how many possible lineups are there in which no card is a club?
Answer:
39C7 or 15380937
Step-by-step explanation:
There are 13 clubs in a 52 card deck. We can remove these from the possibilities. 52-13=39. The rest is simple, choose 7 from 39 using the choose function is 39!/(32!*7!)=15380937. Or just say 39C7 as your answer.
can you guys help me please or you can just explain how to solve it thanks
The composition of transformation that maps ABCD to EHGF is "(x, y) → (x', -y') → (x' + 6, y' + 3)".
What are the transformation rules?The basic transformation rules are:
Translation: (x, y) → (x + a, y + b);Reflection: (x, y) → (x, -y) over x-axis; (x, y) → (-x, y) over y-axis;Dilation: (x, y) → (kx, ky)Rotation 90° counter-clockwise: (x, y) → (-y, x)Rotation 180°: (x, y) → (-x, -y)Calculation:The given quadrilateral ABCD has vertices,
A(-5, 2), B(-3, 4), C(-2, 4), and D(-1, 2)
The transformed quadrilateral EHGF has vertices,
E(1, 1), H(3, -1), G(4, -1), and F(5, 1)
In the map ABCD to EHGF, the transformations that took place are:
1) Reflection over x-axis
2) Translation by (x + a, y + b)
Step 1: Reflection over x-axis; (x, y) → (x, -y)
A(-5, 2) → A'(-5, (-2)) = A'(-5, -2)
B(-3, 4) → B'(-3, (-4)) = B'(-3, -4)
C(-2, 4) → C'(-2, (-4)) = C'(-2, -4)
D(-1, 2) → D'(-1, (-2)) = D'(-1, -2)
So, the reflected quadrilateral is A'B'C'D'
Step 2: Translation by (x, y) → (x + a, y + b);
The reflected quadrilateral A'B'C'D' is now translated by
A'B'C'D' → EHGF
So, (for A'(-5, -2) and E(1, 1))
x + a = 1
⇒ -5 + a = 1
⇒ a = 1 + 5
∴ a = 6
and
y + b = 1
⇒ -2 + b = 1
⇒ b = 1 + 2
∴ b = 3
Thus, the translation is (x + 6, y + 3).
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Which construction requires both endpoints of the diameter and the points where the arcs intersect the circle to be connected, in order, by line segments? an equilateral triangle inscribed in a circle a square inscribed in a circle a similar circle inscribed in a circle a regular hexagon inscribed in a circle
A regular hexagon inscribed in a circle is the construction that requires both endpoints of the diameter and the points where the arcs intersect the circle to be connected, in order, by line segments. Option D. This is further explained below.
What is a segment?Generally, any of the pieces into which something may be separated or which naturally separates over time. a section that is removed from a figure (such as a circle) using a line or plane as the cutting tool. a segment of a straight line that includes the territory between two points.
In conclusion, For the construction of a regular hexagon that is inscribed inside a circle, it is necessary for the ends of the diameter as well as the locations at which the arcs meet the circle to be linked, in the correct sequence, by line segments.
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Complete Question
Which construction requires both endpoints of the diameter and the points where the arcs intersect the circle to be connected, in order, by line segments?
an equilateral triangle inscribed in a circle a square inscribed in a circle a similar circle inscribed in a circle a regular hexagon inscribed in a circleGiven the following coordinates complete the reflection transformation.
A(1,−5)
B(2,−2)
C(5,−2)
Transformation: Complete the double reflection over the lines y=−1 followed by y=1.
The double reflection generates the following three points: A''(x, y) = (1, - 1), B''(x, y) = (2, 2) and C''(x, y) = (5, 2).
How to generate a set of point by rigid transformations
In this problem we must apply two rigid transformations to find three points. The formula for reflection over an axis parallel to the y-axis is defined below:
P'(x, y) = (x', k) - [P(x, y) - (x', k)] (1)
Where:
x' - x-coordinate of the point P(x, y).P(x, y) - Original pointP'(x, y) - Resulting pointIf we know that A(x, y) = (1, - 5), k = - 1 and k' = 1, then the resulting points are:
Point A
A'(x, y) = (1, - 1) - [(1, - 5) - (1, - 1)]
A'(x, y) = (1, - 1) - (0, - 4)
A'(x, y) = (1, 3)
A''(x, y) = (1, 1) - [(1, 3) - (1, 1)]
A''(x, y) = (1, 1) - (0, 2)
A''(x, y) = (1, - 1)
Point B
B'(x, y) = (2, - 1) - [(2, - 2) - (2, - 1)]
B'(x, y) = (2, - 1) - (0, - 1)
B'(x, y) = (2, 0)
B''(x, y) = (2, 1) - [(2, 0) - (2, 1)]
B''(x, y) = (2, 1) - (0, - 1)
B''(x, y) = (2, 2)
Point C
C'(x, y) = (5, - 1) - [(5, - 2) - (5, - 1)]
C'(x, y) = (5, - 1) - (0, - 1)
C'(x, y) = (5, 0)
C''(x, y) = (5, 1) - [(5, 0) - (5, 1)]
C''(x, y) = (5, 1) - (0, - 1)
C''(x, y) = (5, 2)
The double reflection generates the following three points: A''(x, y) = (1, - 1), B''(x, y) = (2, 2) and C''(x, y) = (5, 2).
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Find the midpoint of the line segment joining (–4, –2) and (2, 8).
Kelley writes the expression n 2 to model the phrase "xander studied two more hours than nandini." which best explains the accuracy of kelley’s expression? it is accurate. in the phrase "two more hours than nandini," "two" is "2," "more" is " ," and nandini’s study time is unknown or "n," so 2 n or n 2 are correct translations. it is inaccurate. in the phrase "two more hours than nandini," "two" is "2," "more" is " ," and nandini’s study time is unknown or "n," so 2 n is the correct translation. it is inaccurate. in the phrase "two more hours than nandini," "two" is "2," "more than" is ">," and nandini’s study time is unknown or "n," so 2 greater-than n is the correct translation. it is inaccurate. in the phrase "two more hours than nandini," "two" is "2," "more than" is "<," and nandini’s study time is unknown or "n," so 2 less-than n is the correct translation.
It is accurate. In the phrase “two more hours than Nandini,” n + 2 are correct translations. Then the correct option is A.
What is Algebra?Algebra is used to analyze mathematical symbols, and logic is used to manipulate those symbols.
As an example, Kelley models the sentence "Xander studied two more hours than Nandini" using the equation n + 2.
Consequently, the following will describe Kelley's expression's accuracy the best:
It is precise. Since "two" is translated as "2," "more" as "+," and "Nandini's study time is unknown or "n," 2 + n or n + 2 are the appropriate translations for the sentence "two more hours than Nandini."
So, option A is the best choice.
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I understand that the question you are looking for is :
Kelley writes the expression n + 2 to model the phrase “Xander studied two more hours than Nandini.” Which best explains the accuracy of Kelley’s expression?
It is accurate. In the phrase “two more hours than Nandini,” “two” is “2,” “more” is “+,” and Nandini’s study time is unknown or “n,” so 2 + n or n + 2 are correct translations.
It is inaccurate. In the phrase “two more hours than Nandini,” “two” is “2,” “more” is “+,” and Nandini’s study time is unknown or “n,” so 2 + n is the correct translation.
It is inaccurate. In the phrase “two more hours than Nandini,” “two” is “2,” “more than” is “>,” and Nandini’s study time is unknown or “n,” so 2 greater-than n is the correct translation.
It is inaccurate. In the phrase “two more hours than Nandini,” “two” is “2,” “more than” is “<,” and Nandini’s study time is unknown or “n,” so 2 less-than n is the correct translation.
Geometry: fill in the blanks, ASAP! It’s urgent
Answer:
3. 125
4. 115
5. m<1 = 70, m<2 = 55, m<3 = 55
6. m<2 = 50, m<3 = 50, m<4 = 80, m<6 = 130
pls help with math!!!
Determine the factors of a2b 2a2 3b 6. (b 3)(a2 2) (b 2)(a2 3) (ab 2)(a 3) (ab 3)(a 2)
The factor of [tex]$a^{2} b+2 a^{2}+3 b+6$[/tex] exists [tex]$\left(a^{2}+3\right)(b+2)$$[/tex].
How to determine the factor of [tex]$a^{2} b+2 a^{2}+3 b+6$[/tex]?
Let the given factor be [tex]$a^{2} b+2 a^{2}+3 b+6$[/tex]
To factor this we use the grouping method
We group the first two terms and last two terms then we factor out the greatest common factor (GCF) from each group.
[tex]$\left(a^{2} b+2 a^{2}\right)+(3 b+6)$$[/tex]
Take out GCF from each group
[tex]$a^{2}(b+2)+3(b+2)$$[/tex]
Now factor out b+2, we get
[tex]$\left(a^{2}+3\right)(b+2)$$[/tex]
The factor of [tex]$a^{2} b+2 a^{2}+3 b+6$[/tex] exists [tex]$\left(a^{2}+3\right)(b+2)$$[/tex].
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Given w = 10, what is the answer to w + (w – 12 ÷ 22 • 3) • 7? (1 point) 73 66 23 17
Answer:
68.54
Step-by-step explanation:
w + (w – 12 ÷ 22 • 3) • 7
10 + (10 – 12 ÷ 22 • 3) • 7
Parentheses first
(10 – 12 ÷ 22 • 3)
(10 – 36 ÷ 22)
(10 – 1.636)
(8.364)
-------
10 + (8.364) • 7
10 + 58.54
68.54
The value of the expression will be equal to 66.54. The correct option is B.
What is an expression?Expression in maths is defined as the collection of the numbers variables and functions by using signs like addition, subtraction, multiplication, and division.
Numbers (constants), variables, operations, functions, brackets, punctuation, and grouping can all be represented by mathematical symbols, which can also be used to indicate the logical syntax's order of operations and other features.
Given that the expression is w + (w – 12 ÷ 2^ 2• 3) • 7 and the value of w is 10.
By substituting the value of w equal to 10 the value of the expression is,
E = w + (w – 12 ÷ 22 • 3) • 7
E = 10 + (10 – 12 ÷ 22 • 3) • 7
Solve the Parentheses first.
P = (10 – 12 ÷ 22 • 3)
P = (10 – 36 ÷ 22)
P = (10 – 1.636)
P = (8.364)
Solve further to get the final value.
E = 10 + (8.364) • 7
E = 10 + 56.54
E = 66.54.
Therefore, the value of the expression will be equal to 66.54.
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Nereo and Azeneth start recording video at the same time. Nereo's phone starts with 1,0001{,}0001,0001, comma, 000 megabytes (MB\text{MB}MBstart text, M, B, end text) of free space and uses 7 MB7\,\text{MB}7MB7, start text, M, B, end text of space per second of video. Azeneth's phone has 1,255 MB1{,}255\,\text{MB}1,255MB1, comma, 255, start text, M, B, end text of free space and uses 10 MB10\,\text{MB}10MB10, start text, M, B, end text of space per second of video. How much free space will they have when they first have the same amount of space left?
Using a linear function, it is found that they will have 405 MB of free space when they first have the same amount of space left.
What is a linear function?A linear function is modeled by:
y = mx + b
In which:
m is the slope, which is the rate of change, that is, by how much y changes when x changes by 1.b is the y-intercept, which is the value of y when x = 0, and can also be interpreted as the initial value of the function.The free space for each of Nereo and Azeneth can be modeled by a linear function, in which the slope is negative with the amount that each second of video takes and the y-intercept is the initial free space. Her the functions for the amount of free space after x seconds are given by:
N(x) = 1000 - 7x.A(x) = 1255 - 10x.They will have the same amount of free space when:
N(x) = A(x)
1000 - 7x = 1255 - 10x
3x = 255
x = 255/3
x = 85.
The space will be of:
N(85) = 1000 - 7 x 85 = 405 MB.
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A team plays 93 games in a season. The team won 15
more than twice as many games as they lost.
How many wins and losses did the team have?
PLS HELPPPP THE WORDING IS CONFUSING
Answer:67 wins, 26 losses
Step-by-step explanation: They played 93 games. Let L = their losses and w = their wins. They won 15 more than twice as many games they lost so w = 2L + 15. So, 93 = 3L + 15. 93 - 15 = 78. 78 divided by 3 is 26 so they lost 26 games and won the rest of them or 93-26 = 67 wins and 26 losses.
x =
30°
xo
90°
Report a pro
Answer:
here is the answer
hope it helps u
happy to help
stay safe and healthy
step by step explanation :x=90(being adjacent angle)
now ,
x+30=180(being alternate angle)
x=180-30
x=150#
i think my answer ia wrong sorry -_-
Answer:
x=90
Step-by-step explanation:
x is on a straight line with 90 degrees (given angle measure angle)
you should do 180-90=90 to find that angle x is 90 degrees.
Arlana graphed the system of equations that can be used to solve x cubed minus 5 x squared 2 = negative x cubed 17 x.
The roots of the resulting polynomial equation are [tex](x_{1} ,y_{1} ) = (-2 , -26), (x_{2} ,y_{2} ) = ( 0.11 , 1.94 )[/tex] and [tex]( x_{3} , y_{3} ) = ( 4.39, - -9.81)[/tex] , respectively.
What is a polynomial easy definition?
A mathematical expression of one or more algebraic terms each of which consists of a constant multiplied by one or more variables raised to a nonnegative integral power (such as a + bx + cx2).
Ariana must graph two polynomic expressions:
[tex]f(x) = x^{3} -5 . x^{2} + 2[/tex] and [tex]g(x) = -x^{3} + 17 . x[/tex]
The roots of the resulting polynomial equation are found by means of this formula-
f(x) - g(x) = 0.........................1
Then, we must look for every point so that f(x) = g(x)
The roots of the resulting polynomial equation are [tex](x_{1} , y_{1} ) = ( -2,-26) , (x_{2} ,y_{2} ) = ( 0.114 , 1.937 )[/tex] and [tex](x_{3},y_{3} ) = ( 4. 386 , -9. 812)[/tex] respectively.
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Answer:
D
Step-by-step explanation:
a=3. b=2
5ab+4b+10a
help please?
Answer:
68
Step By Step Explanation:
Evaluate for a=3,b=2
(5)(3)(2)+(4)(2)+(10)(3)
(5)(3)(2)+(4)(2)+(10)(3)
=68
Answer:
The solution is 68
Step-by-step explanation:
a = 3 and b = 2
5ab+4b+10a
= 5(3)(2)+4(2)+10(3)
= 5(6)+8+30
= 30+8+30
= 38+30
= 68
25. Jen ran x miles last week and 18 miles
this week. Write an expression to represent
the total number of miles Jen ran over the
last two weeks.
Solve: If she ran 34 miles over the last two
weeks, how many did she run last week?
Answer:
Step-by-step explanation:
If Jen ran 34 miles over the last 2 weeks and only 18 miles the second week, she would've had to have run 16 miles the first week.
34= 18+x
I hope this helps!
Please help me on this one I got it wrong
Answer: E. 10,000,000 cubic millimeters
Step-by-step explanation: To find out any result from cubic centimeters to cubic millimeters, you multiply the cubic centimeters' value by 1000 to get the cubic millimeters' value.
10,000 * 1,000 = 10,000,000 cubic millimeters.
Hope this helped!
Step-by-step explanation:
The correct answer is E 10,000,00
How many ways are there to put five beads on a necklace if there are eight distinct beads to choose from, and rotations and reflections of the necklace are considered the same
Answer:
3,360
Step-by-step explanation:
so, to start with, there are 8 over 5 permutations (the sequence of the picked beads matters, but no repetitions of beads are possible) to pick 5 items out of 8 available ones.
that is
8! / ((8-5)!) = 8! / 3! = 8×7×6×5×4 = 6,720
rotations and reflections are the same thing here for a 1- dimensional sequence.
1 2 3 4 5 rotated around the middle (3) is
5 4 3 2 1
a reflection is again
5 4 3 2 1
so, we need to consider that instead of 8 beads for the first choice we have only 4 beads to choose from to leave the other 4 beads as choices for the last position.
once we have this established, it is sure that the first and the last position cannot have mirrored beads in any permutation. and therefore rotational or reflectional permutations are impossible.
in other words, half of the possible permutations would be rotations/reflections, and we need to eliminate them.
so, the calculation is
4×7×6×5×4 = 8×7×6×5×4/2 = 6,720/2 = 3,360
!!!!!50 POINTS IF AND BRAINLEST IF ANSWERED CORRECTLY !!!!!!
By the end of the summer, Tammy and Keith had mowed the same number of lawns and raked the same
number of yards. Keith had met his goal of earning more than $180 but Tammy did not meet her goal of
earning more than $200.
B.) What is a possible combination of the number of lawns they could have each mowed and the
number of yards they could have raked? Explain how you chose the combination and why you
know that combination is correct.
1) The Inequalities for Tammy and Keith are respectively; For Tammy: 10x + 5y > 200 and for Keith: 12x + 3y > 180
2) The possible combination of the number of lawns they could have each mowed and the number of yards they could have raked are;
(11, 17), (14, 5), (16, 0), (18, 2)
How to create Inequalities?Tammy earns $10 for each lawn mowed.
Tammy earns $5 for each yard raked.
We are told that She wants to earn more than $200 from her part-time jobs. Thus, the inequality for Tammys would be;
10x + 5y > 200
Keith earns $12 for each lawn mowed
Keith earns $3 for each yard raked.
We are told that Keith wants to earn more than $180 for each part time job. Thus, the inequality is;
12x + 3y > 180
B) To know the possible combination of the number of lawns they could have each mowed and the number of yards they could have raked, i have drawn a graph of both inequalities and the possible points from there are;
(11, 17), (14, 5), (16, 0), (18, 2)
The complete question is;
Tammy and Keith each work two part-time jobs in the summer mowing lawns andraking yards . Tammy earns $10 for each lawn she mows and $5 for each yard sherakes . She wants to earn more than $200 from her part-time jobs . Keith earns $12 for each lawn he mows and $3 for each yard he rakes. He wants to earn more than $180 for each part time job.
A) Write a system of Inequalities to model the number of lawns they each mow (x) and the number of yards they each rake.
B.) What is a possible combination of the number of lawns they could have each mowed and the number of yards they could have raked? Explain how you chose the combination and why you know that combination is correct.
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A quadrilateral must be a parallelogram if one pair of opposite sides is: a. congruent and the other pair is parallel b. congruent and parallel c. parallel d. congruent
Answer:
b
Step-by-step explanation:
the opposite sides of a parallelogram are parallel and congruent
thus option b is the correct one
HELP!!! MATH!!! 100 PTS !!!
Suppose f is a one-to-one, differentiable function and its inverse function f−1 is also differentiable. One can show, using implicit differentiation (do it!), that
(f^−1)′(x)=1/(f′(f^−1(x)))
Find (f^−1)′(6) if f(−1)=6 and f′(−1)=3/7.
Answer:
(f^−1)′(6)=1/(f'(f^-1(6)))
(f^−1)′(6)=1/(f'(f^-6)))
I hope this helps.
What are the solutions to this quadratic equation x2+6x-5=0
Answer:
See Below.
Explanation:
Quadratic Form:
[tex]a {x}^{2} + bx + c[/tex]
Quadratic Formula:
[tex]x = \frac{ - b + - \sqrt{ {b}^{2} - 4ac} }{2a} [/tex]
Based on the information given from the question, we can deduce:
a = 1
b = 6
c = -5
Now we can substitute all these values into the formula to find x.
[tex]x = \frac{ - 6 + - \sqrt{ {6}^{2} - 4(1)( - 5)} }{2(1)} \\ = - 3 + \sqrt{14} \: or \: - 3 - \sqrt{14} [/tex]