Answer:
The remainder is 87.
Step-by-step explanation:
By definition of remainder theorem, whenever a polynomial f(x) is divided by (x-b) the remainder will be: f(b)
Following the Remainder Theorem, in this question the remainder will be f(5).
In this case we were given f(x) as
f(x) = x^2 + 14x − 8
We're are to find the remainder when it is divided by (x-5)
Then(x-5)= 0
X=5
If we substitute x=5 into equation of f(x), we will have the remainder of
f(x) = x^2 + 14x − 8
f(4)= (5)^2 +14(5)-8
f(4)=25+70-8
f(4)=87
Hence, The remainder is 87.
Answer:
87
Step-by-step explanation:
An investment of $8,000 earns interest at an annual rate of 7% compounded continuously. Complete parts (A) and (B) below. Click the icon to view the derivatives of exponential and logarithmic functions.
(A) Find the instantaneous rate of change of the amount in the account after 2 year(s). $ (Round to two decimal places as needed).
(B) Find the instantaneous rate of change of the amount in the account at the time the amount is equal to $12,000. $ (Round to two decimal places as needed).
Answer:
A. [tex]\mathtt{\dfrac{dA}{dt}|_{t=2}=644.15}[/tex]
B. [tex]\mathtt{\dfrac{dA}{dt}|_{t = 5.79}= 839.86 }[/tex]
Step-by-step explanation:
Given that:
An investment of Amount = $8000
earns at an annual rate of interest = 7% = 0.07 compounded continuously
The objective is to :
A) Find the instantaneous rate of change of the amount in the account after 2 year(s).
we all know that:
[tex]A = Pe^{rt}[/tex]
where;
[tex]A = (8000) \ e ^{0.7t}[/tex]
The instantaneous rate of change = [tex]\dfrac{dA}{dt}[/tex]
[tex]\dfrac{dA}{dt} = \dfrac{d}{dt}(8000 \ e ^{0.07t} )[/tex]
[tex]= 8000 \dfrac{d}{dt}e^{0.07 \ t}[/tex]
[tex]\dfrac{dA}{dt}= 8000 (0.07)e^{0.07 \ t}[/tex]
[tex]\dfrac{dA}{dt}= 560 e^{0.07 \ t}[/tex]
At t = 2 years; the instantaneous rate of change is:
[tex]\dfrac{dA}{dt}|_{t=2}= 560 e^{0.07 \times 2}[/tex]
[tex]\mathtt{\dfrac{dA}{dt}|_{t=2}=644.15}[/tex]
(B) Find the instantaneous rate of change of the amount in the account at the time the amount is equal to $12,000.
Here the amount = 12000
[tex]12000 = (8000)e^{0.07 \ t}[/tex]
[tex]\dfrac{12000 }{8000}= e^{0.07 \ t}[/tex]
[tex]1.5= e^{0.07 \ t}[/tex]
㏑(1.5) = 0.07 t
0.405465 = 0.07 t
t = 0.405465 /0.07
t = 5.79
[tex]\dfrac{dA}{dt}= 560 e^{0.07 \ t}[/tex]
At t = 5.79
[tex]\dfrac{dA}{dt}|_{t = 5.79}= 560 e^{0.07 \times 5.79}[/tex]
[tex]\mathtt{\dfrac{dA}{dt}|_{t = 5.79}= 839.86 }[/tex]
The following graph shows Barry's monthly phone bill and the number of minutes used. About how many minutes did Barry consume if he pays $55?
Answer:
About 27.5 minutes
Step-by-step explanation:
When looking at the graph, you can see that the red line intersects about 27.5 minutes with $55.
Barry consumed almost 27.28 minutes.
What is the general equation of a Straight line?The general equation of a straight line is -
y = mx + c
where -
[m] → is slope of line which tells the unit rate of change of [y] with respect to [x].
[c] → is the y - intercept i.e. the point where the graph cuts the [y] axis.
Other possible equations of lines are -
(y - y₁) = m(x - x₁) {Point - slope form}
(y - y₁) = (y₂ - y₁) × (x - x₁)/(x₂ - x₁) {Two point - slope form}
x/a + y/b = 1 {intercept form}
x cos(β) + y sin(β) = L {Normal form}
We have a graph shows Barry's monthly phone bill and the number of minutes used.
The points that lie on the graph are -
(0, 25) and (60, 90)
Slope of the line will be -
m = (90 - 25)/(60 - 0)
m = 65/60 = 1.1
[c] = 25
The equation of the line would be -
y = 1.1x + 25
For y = 55, we get -
55 = 1.1x + 25
1.1x = 30
x = 30/1.1
x = 27.28
Therefore, Barry consumed almost 27.28 minutes.
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Can the sine rule relationship in trigonometry be used with non right angled triangle
Answer:
Below
Step-by-step explanation:
You can use it if you added a hight.
When you a hight you are creating a right triangle. If not you cannot use directly
Answer:
Yes
Step-by-step explanation:
If you mean just sine in general, then yes, it can be used with other triangles.
If you mean [tex]sin=\frac{opposite}{hypotenuse}[/tex] , then there has to be a right triangle. But in other cases, sine is used to find missing sides as well as angles in triangles that are not right-angled.
A man buys a racehorse for $20,000 and enters it in two races. He plans to sell the horse afterward, hoping to make a profit. If the horse wins both races, its value will jump to $90,000. If it wins one of the races, it will be worth $55,000. If it loses both races, it will be worth only $15,000. The man believes there is a 30% chance that the horse will win the first race and a 40% chance that it will win the second one. Assuming that the two races are independent events, find the man's expected profit.
The expected profit of the man from the horse race is $22,400.
Given data:
To find the man's expected profit, calculate the probability of each outcome and multiply it by the corresponding profit.
To determine the probability of each outcome based on the given information:
Probability of winning both races = 0.30 * 0.40
Probability of winning both races = 0.12
Probability of winning one race = 0.30 * 0.60 + 0.70 * 0.40
Probability of winning one race = 0.46
Probability of losing both races = 0.70 * 0.60
Probability of losing both races = 0.42
Next, calculate the expected profit for each outcome:
Profit from winning both races = $90,000 - $20,000
Profit from winning both races = $70,000
Profit from winning one race = $55,000 - $20,000
Profit from winning one race = $35,000
Profit from losing both races = $15,000 - $20,000
Profit from losing both races = -$5,000 (a loss of $5,000)
Now, determine the man's expected profit by multiplying the probability of each outcome by the corresponding profit and summing them up:
Expected profit = (0.12 * $70,000) + (0.46 * $35,000) + (0.42 * -$5,000)
Expected profit = $8,400 + $16,100 - $2,100
Expected profit = $22,400
Hence, the man's expected profit is $22,400
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Solve equation. Show steps
Answer:
60
Step-by-step explanation:
From the question:
2 Cos x = 1
x =?
Thus, we can obtain the value of x as follow:
2 Cos x = 1
Divide both side by 2
Cos x = 1/2
Cos x = 0.5
Take the inverse of Cos.
x = Cos¯¹ (0.5)
x = 60
Therefore, the value of x is 60
**** Check ****
2 Cos x = 1
x = 60
2 Cos 60 = 1
2 × 0.5 = 1
1 = 1
PLEASE HELP
Which statement about the function y = –2x3 is correct?
A. The function is nonlinear and could be made linear by changing -2 to 2.
B. The function is nonlinear and could be made linear by changing 3 to 1.
C. The function is linear and could be made nonlinear by changing -2 to 2.
D. The function is linear and could be made nonlinear by changing 3 to 1.
Answer:
B.
Step-by-step explanation:
So we have the function:
[tex]y=-2x^3[/tex]
As we can see, the degree of this function is 3. This is a cubic function. In other words, this is nonlinear. Let's go through each of the choices:
Already, we can eliminate C and D since the function is nonlinear as it's a cubic function. So, we only need to check A and B.
A: If we change the -2 to 2 like so:
[tex]y=-2x^3\\y=2x^3[/tex]
The function remains a cubic. The only thing we've changed is how the graph is oriented. With -2, the graph goes from top to bottom. With 2, the graph goes from bottom to top. Nevertheless, it's still a cubic function. What we need to change is the exponent and not the coefficient. A is not correct.
B: If we change the 3 to 1 like so:
[tex]y=-2x^3\\y=-2x^1\\y=-2x[/tex]
This is now a linear equation. The degree is 1 and as you can probably picture, it's a downwards sloping line. The correct answer is B.
Which of the following expressions has a value of 4? A. (16 – 12)2 B. – | – 4 | C. (96 ÷ 8) – 23 D. 24 – 42
Answer:B
Step-by-step explanation:
None of the others work
Given:
[tex]\bold{A. \ (16 - 12)2} \\\\\bold{B.\ - | -4 |} \\\\\bold{C. \ (96 \div 8) - 23} \\\\\bold{D.\ 24 - 42}[/tex]
Find:
Which expressions have a value of 4
Solving the given expression:
A)
[tex]\bold{\to (16 - 12)2 = (4)2=4\times 2=8} \\\\[/tex]
B)
[tex]\bold{\to - | -4 |} \\\\\bold{\therefore} \\\\ \to\bold{|4|=4 \ \ and \ \ |-4|=4}\\\\\bold{\because}\\\\\bold{\to - | -4 |=-(4)=-4} \\\\[/tex]
C)
[tex]\bold{\to (96 \div 8) - 23=( \frac{96}{8})-23= 12-23=-11}[/tex]
D)
[tex]\bold{\to 24 - 42=-18}[/tex]
That's why all the choices were wrong.Learn more:
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Wich expression is equivalent?
Answer:
2.56p
Step-by-step explanation
Because the variable is the same for every input, and are all addition, you can just all them all together. You must remember p = 1p
Hope this helps!
-The Business Man
Answer:
2.26p
Step-by-step explanation:
0.7p + p + 0.56 p (The coefficient is 1)
0.7p + 1p + 0.56p (Collect the like terms)
(0.7 + 1 + 0.56)p
Calculate the sum
And this brings you to your answer: 2.26p
Plane A was flying at an altitude of 8 km and Plane B was flying at an altitude of 700 dam. Which plane was flying at a greater altitude?
Answer:
Step-by-step explanation:
1 km= 1000 m
1 dam= 10 m
8 km= 8000m
700 dam = 7000m
so Plane A
plane A is higher by 700m!
hope it helped!
Plane A flying with greater altitude
What is Unit conversion?Unit conversion is a process with multiple steps that involves multiplication or division by a numerical factor or, particularly a conversion factor. The process may also require selection of the correct number of significant digits, and rounding. Different units of conversion are used to measure different parameters.
Given:
plane A= 8 km
plane B= 700 dam
Now,
1 km= 1000 m
1 dam= 10 m
So,
8 km= 8000m
700 dam = 7000m
Hence, Plane A is flying higher.
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A pitcher's arm rotates at a speed of
7
77 degrees per millisecond
(
degrees
ms
)
(
ms
degrees
)left parenthesis, start fraction, start text, d, e, g, r, e, e, s, end text, divided by, start text, m, s, end text, end fraction, right parenthesis.
At what speed does the pitcher's arm rotate in
degrees
s
s
degrees
start fraction, start text, d, e, g, r, e, e, s, end text, divided by, start text, s, end text, end fraction?
Answer:
7000
Step-by-step explanation:
1000x7
Answer:
7000
Step-b7y-step explanation:
Sheryl purchased a plot of land for $32,500. The land appreciates about 4.9% each year. What is the value of the land after eleven years?
Appreciates means increases.
Appreciation formula:
Future value = starting value x (1 + interest rate) ^ time.
Future value = 32,500(1+0.049)^11
Value in 11 years = $55,006.46
You are buying a car whose price is $22,500. Which of the following options will you choose? Explain.
a. You are given a factory rebate of $2000, followed by a dealer discount of 10%.
b. You are given a dealer discount of 10%, followed by a factory rebate of $2000.
Let f(x) = x-2000 and let g(x) = .9x Which option is represented by the composite f(g(x))? Which option is represented by the composite g(f(x)) ?
Answer:
Option B
Step-by-step explanation:
Option A
1. $22500 - $2000 = $205002. $20500 - 10% = $20500*0.9 = $18450This is g(f(x)) since the first step is same f(x) and the second step is g(x)
Option B
1. $22500 - 10% = $22500*0.9 = $202502. $20250 - $2000 = $18250This is f(g(x)) since the first step is g(x) and the second one f(x)
This option is better as 10% discount is applied to full price and final price is less.
help plsssssssssss I just need the number not the whole thing I'll give mark the u the brainliest giving 50 points tyyy <3
Answer:
[tex]\Huge \boxed{15}[/tex]
Step-by-step explanation:
[tex]((2+3) \times 3) \div 5(2+3)[/tex]
Solving the brackets.
[tex](5 \times 3) \div 5(5)[/tex]
[tex]15 \div 5(5)[/tex]
Dividing and simplifying.
[tex]3(5)[/tex]
[tex]15[/tex]
Answer:
15
Step-by-step explanation:
(2 + 3) * 3
= --------------- x (2 + 3)
5
5 * 3
= -------- x 5
5
= 15
How many quarts of pure antifreeze must be added to 8 quarts of a 40% antifreeze solution to obtain a 60% antifreeze solution?
Answer:
we have 8 quarts of 40% antifreeze,
according to the britain equivalent, 1 quart = 1.13L
so, we have 8 * 1.13L = 9.04 L
out of the 9.04 L, 40% is antifreeze
amount of antifreeze = 0.4 * 9.04 = 3.616 L
moles of antifreeze present = 3.616/22.4 = 0.16 moles
moles of antifreeze in 60% solution = 0.6 * v/22.4 = 0.027 * v
(where v is the volume of final solution)
molarity of initial solution = 0.16/9.04 = 0.018 M
molarity of final solution = 0.027*v/v = 0.027 M
m1*v1 = m2*v2
0.018 * 9.04 = 0.027 * v
v = 0.018 * 9.04/0.027
v = 6.026 L
amount if antifreeze in the final solution = 6.026 * 0.027 =
0.163 Moles of antifreeze
amount in L = 0.163 * 22.4 = 3.65 L
amount in quarts = 3.65/1.13 = 3.23 quarts
The length of a rectangle is 10, and the width is x - 2. If the area of the rectangle is 80sq cm, find
the dimensions.
Answer:
Length = 10 cm
Width = 10-2 = 8 cm
Step-by-step explanation:
Area formula (L)(W)
80 = 10(x-2)
80 = 10x - 20
Add 20 to both side
100 = 10x
x= 10
Length = 10 cm
Width = 10-2 = 8 cm
Help me pleseeeeeee asappppp
Answer:
(-2.5, -10)
Step-by-step explanation:
Midpoint Formula: [tex](\frac{x_1+x_2}{2} ,\frac{y_1+y_2}{2} )[/tex]
Step 1: Plug in
x = (-2 + -3)/2
y = (-8 + -12)/2
Step 2: Evaluate
x = -5/2
y = -20/2 = -10
Step 3: Format into coordinates
(-5/2, -10)
Step 4: Convert to decimal
(-2.5, -10)
Amy invested $300 in the bank and a year later has $343.70. By what percent has the amount changed?
44% increase
13% increase
15% increase
87% increase
Answer:
15
Step-by-step explanation:
i just know
Answer:
15
Step-by-step explanation:
just took the quiz
Determine the location and value of the absolute extreme values of f on the given interval, if they exist.f(x)=3sin^(2)x
Answer:
Hello your question lacks the required option below is the diagram of the complete question with the options
answer : The absolute minima is 0 at x = (0,π ) the absolute maxima is 3 at x = [tex]\frac{\pi }{2}[/tex] ( B )
Step-by-step explanation:
Attached below is the detailed solution of the problem
The absolute minima is 0 at x = (0,π ) the absolute maxima is 3 at x = [tex]\frac{\pi }{2}[/tex] ( B )
Describe the sampling distribution of p(hat). Assume the size of the population is 30,000.
n=800, p=0.6
a) Determine the mean of the sampling distribution
b) Dtermine the standard deviation of the sampling distribution
Answer:
a) [tex]\mathbf{\mu_ \hat p = 0.6}[/tex]
b) [tex]\mathbf{\sigma_p =0.01732}[/tex]
Step-by-step explanation:
Given that:
population mean [tex]\mu[/tex] = 30,000
sample size n = 800
population proportion p = 0.6
a)
The mean of the the sampling distribution is equal to the population proportion.
[tex]\mu_ \hat p = p[/tex]
[tex]\mathbf{\mu_ \hat p = 0.6}[/tex]
b)
The standard deviation of the sampling distribution can be estimated by using the formula:
[tex]\sigma_p = \sqrt{\dfrac{p(1-p)}{n}}[/tex]
[tex]\sigma_p = \sqrt{\dfrac{0.6(1-0.6)}{800}}[/tex]
[tex]\sigma_p = \sqrt{\dfrac{0.6(0.4)}{800}}[/tex]
[tex]\sigma_p = \sqrt{\dfrac{0.24}{800}}[/tex]
[tex]\sigma_p = \sqrt{3 \times 10^{-4}}[/tex]
[tex]\mathbf{\sigma_p =0.01732}[/tex]
The mean of a distribution is the average of the distribution.
The mean is 480The standard deviation is 13.86The given parameters are:
[tex]\mathbf{n = 800}[/tex]
[tex]\mathbf{p = 0.6}[/tex]
(a) The mean
This is calculated as:
[tex]\mathbf{\bar x = np}[/tex]
So, we have:
[tex]\mathbf{\bar x = 800 \times 0.6}[/tex]
[tex]\mathbf{\bar x = 480}[/tex]
Hence, the mean is 480
(b) The standard deviation
This is calculated as:
[tex]\mathbf{\sigma = \sqrt{np(1 - p)}}[/tex]
So, we have:
[tex]\mathbf{\sigma = \sqrt{480 \times (1 - 0.6)}}[/tex]
[tex]\mathbf{\sigma = \sqrt{480 \times 0.4}}[/tex]
[tex]\mathbf{\sigma = \sqrt{192}}[/tex]
Take square roots
[tex]\mathbf{\sigma = 13.86}[/tex]
Hence, the standard deviation is 13.86
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Ivan is an artist. He creates 1 sculpture for every 5 paintings. If he has created 30 paintings, how many sculptures has he created?
Answer: Ivan has created 6 sculptures.
Step-by-step explanation:
If Ivan creates 1 sculpture for every 5 paintings and he makes 30 paintings.
30 divided by 5 =6
30 being the total
5 being how much for one
6, the answer, being for the total amount of sculptures.
A magician asks an audience member to pick any number from 6 to 15.
What is the theoretical probability that an individual chooses the number the magician has in mind?
Answer:
1/10
Step-by-step explanation:
6,7,8,9,10,11,12,13,14,15
ten TOTAL possible numbers= denominator
chance of picking the ONE possible number in mind= numerator
1/10
The probability is 1/10.
What is probability?Probability is simply how likely something is to happen. Whenever we're unsure about the outcome of an event, we can talk about the probabilities of certain outcomes—how likely they are. The analysis of events governed by probability is called statistics.
Given:
A magician asks an audience member to pick any number from 6 to 15
Possible outcome = {6,7,8,9,10,11,12,13,14,15}
So, chance of picking the number the magician has in mind = numerator
hence, the theoretical probability is = 1/10.
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the copy machine at the library made a copy of leslie's 3 page essay in just 1/10 of a minute. what is the speed of the copy machine?
Answer:
30page essay/minStep-by-step explanation:
Speed is the change in distance of a body with respect to time.
Speed = Distance/Time
If the library made a copy of leslie's 3 page essay in just 1/10 of a minute, this means that she made 3 pages in (1/10 * 60)secs i.e 6secs
To get the speed, we need to calculate the amount of page of essay that are produced in a minute (60secs).
If 3 page essay = 6secs
x page essay = 60 secs
cross multiply
3*60 = 6x
180 = 6x
x = 180/6
x = 30
This shows that 30 page essays are produced in just a minute. Hence the speed of the copy machine is 30page essay/min.
Answer:
30
Step-by-step explanation:
A package of decorations holds 20 glow sticks for every 28 stickers. The ratio of
glow sticks to stickers is 20:28. Use division to find an equivalent ratio for 20:28, and
express it using words, using a colon, and as a fraction. Explain how you found the
equivalent ratio.
Answer: 5:7 and 10:14 are equivalents to 20:28
Step-by-step explanation:
We have the ration 20:28, and we want to find equivalent ratios to this:
One way to do this is by dividing both numbers by the same number.
For example, both 20 and 28 are even numbers, then we can divide them by 2.
20/2 = 10
28/2 = 14.
Then we have that 10:14 is equivalent to 20:28.
And we can do it again, this time only with words:
10:14 means that for each 10 glow sticks, we have 14 stickers.
The taking half of each, we have that for each 10 = 5 + 5 glow sticks, we have 14 = 7 + 7 stickers.
Then the ratio 5:7 is also equivalent to 10:14 and to 20:28
examples of parallel lines
Answer:
what idea and experience do you get after being lockdown for long three or four months due to corona virus. write your experience in the form of article that is published in school magazine on the topic lack of physical activity.
Step-by-step explanation:
Answer:
Parallel lines are two lines that are facing the same direction and never intersect.
Step-by-step explanation:
for example, the number II
those are two ones are straight lines pointing the same direction, and no matter how long they go on they will never touch.
The function h(x)= 12x^8+ 49 is an even function. Which transformation of h(x) would result una function that is neither even or odd?
Answer:
- reflecting over x -axis
Step-by-step explanation:
Given equation
[tex]$ h(x) = 12x^8 +49 $[/tex]
Now, [tex]$ h(-x) = 12(-x)^8 +49 $[/tex]
= [tex]$ - 12x^8 +49 $[/tex]
Therefore, h(x) ≠ h(-x) ≠ -h(-x)
So, the function is neither odd nor even.
Therefore, reflecting the equation over x - axis would result a function that in neither even nor odd.
Answer:
Reflecting over x axis
The length of one side of a square is increased by 1 cm and that of the other side is reduced by 3 cm. The rectangle now formed has a perimeter of 64 cm. What is the length of the side of the original square?
Answer:
17
Step-by-step explanation:
let the side of square be x then length and breadth of rectangle will be x+1 and x-3
perimeter of rectangle=2(l+b)
64=2(x+1+x-3)
32=2x-2
x=17
find the mean of 1.8, 1.7, 1.3, 1.1, 1.2, 1.6, 1.8,
Answer:
Sum: 10.5 Arithmetic mean (Simple Average):1.5 Median: 1.6 Range: 0.7 Variance: 0.09 Standard Deviation: 0.09 =0.29
The answer is 0.29
hope this helped
Which sets of ordered pairs represent functions from A to B? (Select all that apply.) A = {a, b, c} and B = {3, 4, 5, 6}
Answer:
See Explanation
Step-by-step explanation:
The question has mission options; However, the question is still solvable.
Given
[tex]A = \{a,b,c\}[/tex]
[tex]B = \{3,4,5,6\}[/tex]
Required
Determine possible ordered pairs of A to B
A function is of the form (x,y)
Let A be the range of the function and B, the domain
Let (x,y) be a function of A to B, where x represents any of the values in A sets and y represents any of the values in B
A ordered pair can only be regarded as a function if and only if it has unique y-values
Hence, a possible ordered pair is:
[tex](A,B) = \{(a,3),(b,4),(c,5)\}[/tex]
Another possible ordered pair is
[tex](A,B) = \{(a,4),(b,5),(c,6)\}[/tex]
Note that there as as many as possible ordered pair as long as the y-values are unique
There are many possible ordered pair as long as the y-values are unique.
A function is defined as a relation from a set of inputs to a set of possible outputs where each input is related to exactly one output.A functions from A to B represent A as domain and B as range of function.Given that, A = {a, b, c} and B = {3, 4, 5, 6}
Order pair may be,
[tex](a,3),(b,4),(c,5)[/tex]
May be, [tex](a,6),(b,5),(c,4)[/tex]
There are many possible ordered pair as long as the y-values are unique.
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Determine if the statement below is true or false.
If it is false, rewrite it so it is true.
Rewriting sqrt of -10 in terms of i results in -10i
A. This statement is true
B. This statement is false. Rewriting sqrt of -10 in terms of i results in sqrt of 10i
C. This statement is false. Rewriting sqrt of -10 in terms of i results in sqrt of -10i
D. This statement is false. Rewriting sqrt of -10 in terms of i results in 10i
Answer:
B
Step-by-step explanation:
So we have the expression:
[tex]\sqrt{-10}[/tex]
And we want to rewrite it in terms of i. Recall that i is:
[tex]i=\sqrt{-1}[/tex]
Therefore, we can simplify the expression as:
[tex]\sqrt{-10}=\sqrt{-1\cdot10}=\sqrt{-1}\cdot\sqrt{10}=i\sqrt{10}[/tex]
Therefore, the statement given is not correct.
And the correct answer is B.
What is two more than 4 times a number is -18 translated and solved
Answer:
n=-5
Step-by-step explanation:
Let "n" represent the unknown number.
So, the equation asks for 4n and two more, or +2, that is all equal to -18.
So, your equation will be:
[tex]4n+2=-18[/tex]
First, subtract 2 from both sides:
[tex]4n+2-2=-18-2\\4n=-20[/tex]
Then, divide both sides by 4:
[tex]\frac{4n}{4}=\frac{-20}{4}\\n=-5[/tex]
Therefore, n=-5.