A particular restaurant can legally have only 150 people in it at one time. The tables in the restaurant can seat 4 people at a time. The number of tables, t, in the restaurant can be represented by the inequality 4t < 150. What is the maximum number of tables the restaurant can have?
Answers
Answer:
The correct answer would be 37.5, but since you cant have half a table, its rounds up to A., 37. Hope you found this helpful, and if so, please mark as Brainliest! (:
Related Questions
please answer this question
Answers
let x be the real part of z
let y be the imaginary part of z
\(arg(x +i y - 1) = arg(x + iy + 3i) \\ arg(x - 1 + iy) = arg(x + (y + 3)i) \\ arctan( \frac{y}{x - 1} ) = arctan( \frac{y + 3}{x} ) \\ arctan( \frac{ (\frac{y}{x - 1} ) - ( \frac{y + 3}{x}) }{1 +( \frac{y}{x - 1} )( \frac{y + 3}{x} )} ) = 0 \\ arctan( \frac{ \frac{xy - (x - 1)(y + 3)}{x(x - 1)} }{ \frac{x(x - 1) + y(y + 3)}{x(x - 1)} } ) = 0\)
\(arctan( \frac{xy - xy - 3x + y + 3}{x {}^{2} - x + y {}^{2} + 3y } ) = 0 \\ \frac{ - 3x + y + 3}{x {}^{2} - x + y {}^{2} + 3y} = tan(0) = 0 \\ - 3x + y + 3 = 0 \\ y = 3x - 3\)
\( \frac{x - 1}{y} = \frac{x - 1}{3x - 3} = \frac{x - 1}{3(x - 1)} = \frac{1}{3} \\ \)
Answer:
\(\dfrac{x-1}{y}=\dfrac{1}{3}\)
Step-by-step explanation:
Sums of real and imaginary numbers are known as complex numbers:
\(\large\boxed{z = x + iy}\)
(where x is the real number and iy is the imaginary number).
Complex numbers can be represented on an Argand diagram.
The x-axis is the real axis.The y-axis is the imaginary axis.z = x + iy is represented on the diagram by the point P(x, y).
\(\textsf{Argument of a complex number $= \boxed{\arg z}$}\)
It is the angle between the positive real axis and the line joining that number to the origin on an Argand diagram, measured in an anticlockwise direction.
\(\textsf{For \;$z = x + iy$, \;the argument $\theta$ satisfies\; $\tan \theta = \dfrac{y}{x}$.}\)
\(\textsf{Given: \quad $\arg (z-1)=\arg(z+3i)$}\)
\(\textsf{If $z$ is a complex number then $z = x + iy$}.\)
\(\textsf{Substitute this into the given equation}:\)
\(\begin{aligned} \arg(z-1)&=\arg(z+3i)\\\implies \arg(x + iy - 1) &= \arg(x + iy + 3i)\\\implies \arg((x - 1) + iy) &= \arg(x + i(y + 3))\end{aligned}\)
\(\textsf{If the argument $\theta$ satisfies\; $\tan \theta = \dfrac{y}{x} \implies \theta=\tan^{-1}\left(\dfrac{y}{x}\right)$}:\)
\(\implies \tan^{-1}\left(\dfrac{y}{x-1}\right)=\tan^{-1}\left(\dfrac{y+3}{x}\right)\)
\(\implies \tan^{-1}\left(\dfrac{y}{x-1}\right)-\tan^{-1}\left(\dfrac{y+3}{x}\right)=0\)
\(\boxed{\begin{minipage}{6.2cm}\underline{Trigonometric identity}\\\\ $\tan^{-1}(a)-\tan^{-1}(b)=\tan^{-1}\left(\dfrac{a-b}{1+ab}\right)$\\ \end{minipage}}\)
Use the arctan identity:
\(\implies \tan^{-1}\left(\dfrac{\dfrac{y}{x-1}-\dfrac{y+3}{x}}{1+\left(\dfrac{y}{x-1}\right)\left(\dfrac{y+3}{x}\right)} \right)=0\)
\(\implies \tan^{-1}\left(\dfrac{\dfrac{xy-(y+3)(x-1)}{x(x-1)}}{1+\dfrac{y(y+3)}{x(x-1)}} \right)=0\)
\(\implies \tan^{-1}\left(\dfrac{\dfrac{xy-(y+3)(x-1)}{x(x-1)}}{\dfrac{x(x-1)+y(y+3)}{x(x-1)}} \right)=0\)
\(\implies \tan^{-1}\left({\dfrac{xy-(y+3)(x-1)}{x(x-1)+y(y+3)} \right)=0\)
\(\implies \tan^{-1}\left({\dfrac{xy-xy+y-3x+3}{x^2-x+y^2+3y} \right)=0\)
\(\implies \tan^{-1}\left({\dfrac{y-3x+3}{x^2-x+y^2+3y} \right)=0\)
\(\implies \dfrac{y-3x+3}{x^2-x+y^2+3y}=\tan(0)\)
\(\implies \dfrac{y-3x+3}{x^2-x+y^2+3y}=0\)
\(\implies y-3x+3=0\)
\(\implies y=3x-3\)
\(\textsf{Substitute\;\; $y=3x-3$ \;\;into \;\;$\dfrac{x-1}{y}$}:\)
\(\begin{aligned}\implies \dfrac{x-1}{y}& =\dfrac{x-1}{3x-3}\\\\ & =\dfrac{x-1}{3(x-1)}\\\\ & =\dfrac{1}{3}\end{aligned}\)
\(\textsf{Therefore, the value of\; $\dfrac{x-1}{y}$\; is\; $\dfrac{1}{3}$}.\)
Lee has made a nonrefundable deposit of the first month’s rent (equal to $900) on a
apartment lease to 6 months. The same day later Lee finds a different apartment that
he likes just as well, but its monthly rent is cheaper and negotiable. Assume a nominal
rate interest rate of 8% convertible monthly. The rent will be paid monthly and at the
beginning of each month. [8]
(i) Write down the cash flow and compute the present value (to 2 decimal numbers)
of 6 months if Lee rents the first apartment ($900).
(ii) Find the range of the rent (to 2 decimal numbers) of the cheaper apartment such
that Lee would switch to rent the new apartment.
Answers
It would be wiser for the couple to stay in the old apartment and save $1400.
What is multiplication?In mathematics, multiplication is a method of finding the product of two or more numbers. It is one of the basic arithmetic operations, that we use in everyday life.
here, we have,
Explanation:
If they stay until the end of the lease, total money that will be paid out is $1000 x 6 = $6000,
If they leave, they'll have to forgo $1000.
If they move to their new apartment, they'll pay $900 x 6 = $5400
total expenditure if they move to the new place at the end of the six months period will be, the $1000 that will not be refunded back to them on the old apartment, plus this new $5600 for six month's rent in this new apartment, and that will be a total of $6400.
It would be wiser for the couple to stay in the old apartment and save $1400.
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P(x)=2x 4 −x 3 +2x 2 −6P, left parenthesis, x, right parenthesis, equals, 2, x, start superscript, 4, end superscript, minus, x, cubed, plus, 2, x, squared, minus, 6 What is the remainder when P ( x ) P(x)P, left parenthesis, x, right parenthesis is divided by ( x − 2 ) (x−2)left parenthesis, x, minus, 2, right parenthesis?
Answers
Answer:
P = -x^3 +12 / x+6
Step-by-step explanation:
Let's solve for p.
px=(2)(4)−x3+(2)(2)−6p
Step 1: Add 6p to both sides.
px+6p=−x3−6p+12+6p
px+6p=−x3+12
Step 2: Factor out variable p.
p(x+6)=−x3+12
Step 3: Divide both sides by x+6.p(x+6)
x+6
=
−x3+12
x+6
p=
−x3+12
x+6
some adults and children are watching a musical there are n children there are 25 fewer adults
Answers
According to the concept of algebraic expression and arithmetic, the correct answers are A) Number of adults = N - 25. B) Number of adults when N = 124: 124 - 25 = 99
A) Let's denote the number of children as N. Since there are 25 fewer adults than children, the number of adults can be expressed as N - 25.
B) If there are 124 children, we substitute N with 124 in the expression from part A. Thus, the number of adults would be 124 - 25 = 99.
To arrive at these answers, we used the given information that there are "N" children and 25 fewer adults than children. By substituting the value of N, we determined the number of adults in terms of N and then calculated the specific number of adults when N is equal to 124.
Note: The given question is incomplete. The complete question is:
Some adults and children are watching a musical. there are 'N' number of children. There are 25 fewer adults than children.
A) find the number of adults in terms of 'N'.
B) if there are 124 children how many adults are there?
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the center of a semisimple lie algebra {\displaystyle {\mathfrak {g}}}{\mathfrak {g}} is trivial proof. t/f
Answers
Answer:
False. The center of a semisimple Lie algebra is usually not trivial.
Step-by-step explanation:
The center of a semisimple Lie algebra is the set of elements of the Lie algebra that commute with all other elements in the algebra. In most cases, the center of a semisimple Lie algebra is not trivial, meaning it contains at least one non-zero element. For example, the center of the simple Lie algebra sl(2,C) contains the two-dimensional Lie algebra spanned by the scalar matrices I and -I. The center of the Lie algebra so(5,C) is spanned by the five-dimensional Lie algebra spanned by the matrices diag(1,1,1,-1,-1). These examples demonstrate that the center of a semisimple Lie algebra is usually not trivial.
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Choose the explanation that shows why ΔADE is similar to ΔABC.
A. A dilation with center (0, 0) and scale factor 1/2 maps ΔABC to ΔADE.
B. A dilation with center (0, 0) and scale factor 2 maps ΔABC to ΔADE.
C. A translation 4 units right and 4 units up maps ΔABC to ΔADE.
D. A rotation 90° about the origin and a translation 2 units up maps ΔABC to ΔADE.
Answers
First of all,
C. and D. are both incorrect because they apply translations to ABC; translations will misalign ADE with ABC.
Next,
A. is incorrect because a dilation of 1/2 will place D at (0,3) from its original point of (0,2). Also, the dilation will place E at (6,0) from its original point of (4,0). The triangle ADE would be too small to map ABC.
Finally,
B. Is the correct answer because a dilation of 2 will place D at (0,4)—where B is—and will place E at (8,0), where C is.
Choice B. maps ADE onto ABC
Sorry for that much information, but I think it’s useful. XD
105 visitors purchased no costume. 41 visitors purchased exactly one costume. 8 visitors purchased more than one costume. Based on these results, express the probability that the next person will purchase one or more costumes as a decimal to the nearest hundredth.
Answers
Answer:
Probability is 0.32
Step-by-step explanation:
The info we have is 105 people bought nothing. 41 + 8, that is 49 people bought something. That makes a total of 154 people. The total goes on the bottom of a fraction (to find the probability)
So far, we have
?/154
Probability of "buy something is:
49/154
(because the data shows that 49 out of 154 people bought something)
Let's use a calculator and divide 49÷154
We get 0.3181818...
(if you are not allowed to use a calculator, reduce 49/154 to 7/22 and use long division to get 0.3181818...)
The question asks for the nearest hundredth, that's two decimal places.
Probability is 0.32
de una bolsa donde hay veinte bolas numeradas del 1 al 20 extraemos una, A: obtener un número par , B: obtener número primo, C: obtener un número tal que su suma de cifras sea 5,
a) comprobar que cumplan con las propiedades asociativa y distributiva en los sucesos, b) comprobar que se cumplan con las propiedades de las leyes de morgan entre los sucesos AyC , ByC, AyB , c) efectúa las siguientes operaciones en los sucesos unión entre AB, BC, AB, intersección entre AB,BC, AB, diferenciación entre AB, BA, CA, AC,
Answers
Para resolver este problema se aplica la ecuación de la probabilidad, cuya ecuación es la que se presenta a continuación:
P = Nf/N * 100%
Los datos son los siguientes:
Nf = 1
N = 20
Sustituyendo los datos en la ecuación se tiene que la probabilidad es la siguiente:
P = 1/20 * 100%
P = 5%
La probabilidad de extraer el número que deseas en un intento es de 5%.
(b) The diagram below shows the floor plan of a hallway in a theatre. ALI MBATIES shown on the diagram are recorded in metres. Kerw W SIDENT HUB Given that the width, w of the hallway is 12m, find the value of x. Find the length of the hallway, Z. Determine the area of the hallway. Total: 9 marles
Answers
Given
The width of the hallway is 12m.
To find:
1) The value of x.
2) The length of the hallway, l.
3) Determine the area of the hallway.
Explanation:
1) From, the figure
\(\begin{gathered} w=2x+x \\ 12=3x \\ x=\frac{12}{3} \\ x=4m \end{gathered}\)2) The length of the hallway is,
\(\begin{gathered} Length,l=x+10+b \\ l=4+10+b \\ l=14+b \\ where\text{ }b\text{ }is\text{ the base of the triangle.} \end{gathered}\)Then,
\(\begin{gathered} x^2+b^2=5^2 \\ 4^2+b^2=25 \\ b^2=25-16 \\ b^2=9 \\ b=3m \end{gathered}\)Therefore, the length of the hallway is,
\(\begin{gathered} Length,l=14+9 \\ l=23m \end{gathered}\)3) The area of the hallway is,
\(\begin{gathered} Area=x\times w+10\times x+\frac{1}{2}\times b\times x \\ =4\times12+10\times4+\frac{1}{2}\times9\times4 \\ =48+40+18 \\ =106m^2 \end{gathered}\)Hence, the answers are,
1) The value of x is 4m.
2) The length of the hallway is 23m.
3) The area of the hallway is 106m^2.
what is the volume of a unit cube?
Answers
Step-by-step explanation:
Volume of unit cube= (1)³ unit³= 1 unit³
Which equation represents the function graphed on the
coordinate plane?
O g(x) = x + 1 + 3
O g(x) = x + 3 - 1
O g(x) = |x-1| + 3
O g(x) = x + 3 + 1
Answers
Answer:
it is the third option of g(x)=|x-1|+3x-1
the way I look at this is by visualizing the translations using the parent function of f(x)=|x|
the function moved up three and to the right by one which led to my conclusion
The equation that represents the function graphed on the coordinate plane is y = |x - 1| + 3.
What is function?A function is a relation between a dependent and independent variable. We can write the examples of functions as -
y = f(x) = ax + b
y = f(x, y, z) = ax + by + cz
Given is to find the equation that represents the function graphed on the coordinate plane.
The parent function for the given function is -
y = |x|
The function rule for transformation can be written as -
(x, y) : (x - 1, y + 3)
So, we can write the function after transformation as -
y = |x - 1| + 3
Therefore, the equation that represents the function graphed on the coordinate plane is y = |x - 1| + 3.
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The following is a conversion table for millimeters and centimeters. Which numbers belong in the millimeters column?
1, 3, 5
11, 13, 15
10, 30, 50
100, 300, 500
Answers
Answer:
100,300,500
Step-by-step explanation:
Answer:
There is no attached table, however
1 cm = 10 mm
3 cm = 30 mm
5 cm = 50 mm
10 cm = 100 mm
30 cm = 300 mm
50 cm = 500 mm
Therefore, the potential numbers in the millimeters column are:
10, 30, 50 and/or 100, 300, 500
(depending upon the numbers in the centimeter column)
A rectangle initially has dimensions 6 cm by 7 cm. All sides begin increasing in length at a rate of 3 cm/s. At what rate is the area of the rectangle increasing after 23 s?
Answers
Answer:
The area of the rectangle is increasing at a rate of 54 cm2/s.
Step-by-step explanation:
A straight line is given as 2 x+4 -2 y-5=-3 z-6 (a) Determine the vector equation of the straight line. (b) Find the intersection point between the straight line with the plane yz
Answers
Answer:
a) r(t) = (10, 5, -5) + (5, 5, 0)*t
b) (0, -5, -5)
Step-by-step explanation:
a) 2x + 4 -2y -5 = -3z -6
2x - 2y +3z +5 =0
(10, 5, -5)
(15, 10, -5)
(5, 5, 0)
r = (10, 5, -5) + (5, 5, 0)*t
b) The yz plane is given by the equation x = 0.
x = 0 in the vector equation of a straight line if and only if t = -2, than r ( - 2) = (0, -5, -5) is the desired intersection point.
What is the length of the midsegment of a trapezoid with bases of length 18 and 28?
The length of the midsegment of a trapezoid with the given bases is.
Answers
Answer:
midsegment = 23
Step-by-step explanation:
the midsegment is half the sum of the bases, that is
midsegment = \(\frac{18+28}{2}\) = \(\frac{46}{2}\) = 23
Mr. Stubbert wants to buy a $520 sword, and he has a coupon for 15% off. How much does he pay?
Answers
Before we find the amount Mr Stubbert paid, we'll have to find the value of the coupon.
To do this, we will have to multiply the Original Price with the Rate of Discount.
A Rate of Discount is your coupon into decimal form. In this case, it would be \(\multiply {0.15}\)
So now we will multiply.
\(\text{520 x 0.15 =} \underline {78}\)
So \(78\) is going to be our discount.
Now that we've found the discount, let's subtract \(78\) from \(520\).
\(\text{520 - 78 = 442}\)
\(\fbox {So our answer is going to be \bold 442}\)
\(\rule{300}{1.0}\)
When Arjun makes strawberry milk, he adds 90 mL of milk for every 20 mL of strawberry syrup. Arjun's
brother, Eli, adds 180 mL of milk for every 45 mL of strawberry syrup.
Which strawberry milk has a stronger strawberry taste?
(I’m struggling help please)
Answers
Answer: Eli’s strawberry milk
Step-by-step explanation:
so I’m just doing this for 5pts
If Arjun adds 20 ml of strawberry syrup in 90 ml milk and his brother adds 45 ml of strawberry syrup in 180 ml milk then Arjun's brother's strawberry milk has a stronger strawberry taste.
What is average?Average is basically sum of numbers divided by how many numbers taken into consideration. It is also known as mean.
How to calculate average?We have been given that Arjun adds 20 ml of strawberry syrup in 90 ml milk and his brother adds 45 ml of strawberry syrup in 180 ml milk. To calculate the strength of strawberry taste we need to find the average syrup added by both the person in milk.
Average of syrup added by Arjun in 1 ml of milk=20/90
=0.22 ml of strawberry syrup.
Average of syrup added by Arjun's brother in 1 ml of milk=45/180
=0.25 ml of milk.
Average of Arjun's brother is greater than average of Arjun.
Hence Arjun's brother's strawberry milk has a stronger strawberry taste than Arjun's milk.
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Cómo se hace y cómo es el proceso ayuda porfaaaaa
Answers
Answer:
30: 100
31: -13
32: -45
33: 14
34: -32
35: -22
36: 17
A blimp is flying directly above a football field. The angle of depression to the base of one goal post is 40o. The angle of depression to the base of the other goal post is 72o. If the goal posts are 360 feet apart, how high is the blimp flying
Answers
Answer:
237.65 feet
Step-by-step explanation:
From the diagram attached,
Let the height of the blimp above the ground be h
From triangle A of the diagram,
tan18° = (360-y)/h
h = (360-y)/tan18°..................... Equation 1
Also
From triangle B in the diagram,
tan50° = y/h
h = y/tan50°.............................. Equation 2
Equation equation 1 and equation 2
(360-y)/tan18° = y/tan50°
tan50°(360-y) = tan18°(y)
1.19(360-y) = 0.325(y)
428.4-1.19y = 0.325y
428.4 = 0.325y+1.19y
1.515y = 428.4
y = 428.4/1.515
y = 282.8
Substituting the value of y into equation 2
h = 282.8/tan50°
h = 282.8/1.19
h = 237.65 feet.
35=11x. i need help
Answers
Answer:
x= 35/11
Step-by-step explanation:
steps
35 = 11x
swich sides
11x = 35
Divide both sides by 11
11x/11 = 35/11
simplify
x = 35/11
between what two consecutive integers must log2(17) lie
Answers
Answer:
4 and 5
Step-by-step explanation:
For answering questions like this, it can be useful to remember a few of the powers of small integers:
2^4 = 16
2^5 = 32
Exponents and logarithmsA logarithm can be considered to be an exponent of the base.
\(\log_b(x) = a \ \Longleftrightarrow\ b^a=x\)
The ordering of powers of 2 relative to the number of interest (17) is ...
16 < 17 < 32
2⁴ < 17 < 2⁵ . . . . . . . . . . . . . . . . . . . expressed as powers of 2
log₂(2⁴) < log₂(17) < log₂(2⁵) . . . . . log₂ of the above inequality
4 < log₂(17) < 5 . . . . . . . . . . . . . . . . showing the values of the logs
Log₂(17) lies between 4 and 5.
__
Additional comment
Using the "change of base" formula, you can use a calculator to find the value of log₂(17). It shows you the value is between 4 and 5.
log₂(17) = log(17)/log(2) . . . . . . using logs to the same base
12 is 80% of what number?
Answers
Answer:
15
Step-by-step explanation:
An ice cream factory makes 310 quarts of ice cream in 5 hours. How many quarts can they make per hour?
Answers
Pedrobuysawheelbarrowpricedat$86.Shippingandhandlingareanadditional30%oftheprice.HowmuchshippingandhandlingwillPedropay?
Answers
The price of the wheelbarrow is $86, and Pedro will need to pay an additional 30% of the price for shipping and handling.
To calculate the shipping and handling cost, we can first find 30% of the price of the wheelbarrow:
30% of $86 = 0.3 x $86 = $25.80
Therefore, Pedro will need to pay $25.80 for shipping and handling.
Which is the value of this expression when m-3 and n=-5
Answers
Answer:
1/8
Step-by-step explanation:
(6m^-1n^0)^-3 =
= (6 × 1/3 × (-5)^0)^-3
= (6/3)^-3
= 2^-3
= 1/2^3
= 1/8
write the equations that has a slope and the y intercept of 45 and y intercept of -12
Answers
Answer:
Step-by-step explanation:
slope intercept form y=mx+b
Where m is the slope and b is the y intercept
Slope/m: 45
Y intercept/b: -12
Y=45x-12
Hopes this helps please mark brainliest
Solve these equation
|2x+1|=|x-2|
Answers
Step-by-step explanation:
2x+1x= -2+1
3x= -1
3x÷3= -1÷3
x=|-3.3333..|=3.33333.. or
\( \frac{1}{3} \)
question
Suppose that there were a strong correlation between the variables n and p.
Which of these is a true statement?
OA. n must cause p.
OB. p must cause n.
C. n must not cause p.
D. n may cause p.
Answers
Correlation doesn’t always equal causation
But if the correlation is strong it may be the cause for something. Since you don’t know how n and p correlate, your key word is “may”.
Ex:
In the summertime Ice cream purchases increase (n)
In the summertime shark attacks increase (p)
They both have a strong correlation but ice cream purchase don’t cause shark attacks, likewise shark attacks won’t cause ice cream purchases.
However, if you replace shark attacks with summer heat increasing then the correlation is still strong and so is the causation. Increasing summer heat may cause ice cream purchases to increase.
I hope that helps!
A box without a top is to be made from a rectangular piece of cardboard, which has a length of 30 in by 10 in, by cutting out squares with side lengths, x, from each corner. > Determine the value of x that will maximize the volume of the box. Round your answer to the nearest tenth.
Answers
Cutting squares with side length approximately 3.8 inches from each corner will result in a box with the maximum volume.
What is the value of x that will maximize the volume of the box?To determine the value of x that will maximize the volume of the box, we can start by visualizing the box and expressing its volume in terms of x.
When we cut out squares with side lengths x from each corner of the rectangular cardboard, the resulting shape, when folded, will form the box without a top. The height of the box will be equal to the side length of the squares, which is x. The length and width of the base of the box will be the dimensions of the cardboard after the squares are cut out, which will be (30 - 2x) and (10 - 2x) respectively.
The volume of the box can be calculated by multiplying the dimensions of the base and the height:
V(x) = (30 - 2x)(10 - 2x)x.
To find the value of x that maximizes the volume, we can take the derivative of V(x) with respect to x, set it equal to zero, and solve for x.
dV/dx = 0.
Let's calculate the derivative of V(x):
dV/dx = [(30 - 2x)(10 - 2x)]'x + (30 - 2x)(10 - 2x) * 1.
Simplifying and setting it equal to zero:
[(30 - 2x)(10 - 2x)]'x + (30 - 2x)(10 - 2x) = 0.
Solving for this;
x = 3.8 inches
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how to solve x^2+8x+3 using the quadratic formula
Answers
Answer:
x = sqrt(13) - 4 or x = -4 - sqrt(13)
Step-by-step explanation:
Solve for x:
x^2 + 8 x + 3 = 0
Hint: | Solve the quadratic equation by completing the square.
Subtract 3 from both sides:
x^2 + 8 x = -3
Hint: | Take one half of the coefficient of x and square it, then add it to both sides.
Add 16 to both sides:
x^2 + 8 x + 16 = 13
Hint: | Factor the left hand side.
Write the left hand side as a square:
(x + 4)^2 = 13
Hint: | Eliminate the exponent on the left hand side.
Take the square root of both sides:
x + 4 = sqrt(13) or x + 4 = -sqrt(13)
Hint: | Look at the first equation: Solve for x.
Subtract 4 from both sides:
x = sqrt(13) - 4 or x + 4 = -sqrt(13)
Hint: | Look at the second equation: Solve for x.
Subtract 4 from both sides:
Answer: x = sqrt(13) - 4 or x = -4 - sqrt(13)