Answers
Answer:
We conclude that:
f(g(-2)) = -3
Step-by-step explanation:
Given
f(x) = 2x + 7g(x) = x-3To determine
f(g(-2)) = ?In order to determine f(g(-2)), first we need to determine g(-2)
so substituting x = -2 in g(x) = x-3
g(-2) = -2 - 3
= -5
Thus,
f(g(-2)) = f(-5)
now substitute x = -5 in the function f(x) = 2x+7
f(x) = 2x+7
f(-5) = 2(-5) + 7
f(-5) = -10 + 7
f(-5) = -3
so
f(g(-2)) = f(-5) = -3
Therefore, we conclude that:
f(g(-2)) = -3
Related Questions
A school purchases a used van that costs $10,000. The value, V(t), in dollars, of the van t years since its purchase is modeled by the exponential function V(t)=10,000(0.8)^t . Select ALL statements that are true regarding the value of the van. a.The value of the van decreases by 20% each year since its purchase. b.The value of the van decreases by 80% each year since its purchase. c.The value of the van decreases by $2,000 each year since its purchase. d.Each year since its purchase, the value of the van is 80% of the value of the previous year. e.Each year since its purchase, the value of the van is 0.8 times the value of the previous year.
Answers
Answer:
a.The value of the van decreases by 20% each year since its purchase.
b.The value of the van decreases by 80% each year since its purchase.
d.Each year since its purchase, the value of the van is 80% of the value of the previous year.
Step-by-step explanation:
From the above question, we are given the Exponential function
V(t)=10,000(0.8)^t
Verifying the given options:
a.The value of the van decreases by 20% each year since its purchase.
Option a is correct , this is because, the Exponential function above is and Exponential Decrease.
The formula is given as:
V(t) = 10000(1 - r) ^t
Where r = Decreasing rate
Comparing
= 1 - r = 0.8
= 1 - 0.8 = r
r = 0.2
Converting to percentage
= 0.2 × 100 = 20%
Option a is correct
b.The value of the van decreases by 80% each year since its purchase.
Let solve for t = 1 and t = 2
V(t) = 10000(0.8) ^t
When t = 1
= 10000× 0.8¹
= 8000
When t = 2
= 10000× 0.8²
= 6400
Confirming option d
For year 2
= 80% × year 1
Year 1 = 8000
= 80% × 8000 = 6400
Option b is correct
c.The value of the van decreases by $2,000 each year since its purchase.
Option C is incorrect
d.Each year since its purchase, the value of the van is 80% of the value of the previous year.
Option d is correct because
Let solve for t = 1 and t = 2
V(t) = 10000(0.8) ^t
When t = 1
= 10000× 0.8¹
= 8000
When t = 2
= 10000× 0.8²
= 6400
Confirming option d
For year 2
= 80% × year 1
Year 1 = 8000
= 80% × 8000 = 6400
Option d is correct
e.Each year since its purchase, the value of the van is 0.8 times the value of the previous year.
Option e is incorrect
From the options given in the question, the correct statements are,
Options a, b, and d.
someone please help!
Answers
IT IS THE THIRD ONE:
3+8.486
because I find it like that
1. An airplane flies a distance of 3000 miles in 6 hours. How tast is it going? Hint: Uses=d/t. Show our work.
2. A skydiver opens her parachute and is dropping toward the ground at a constant speed of 0.3 m/s. If she is currently 200 meters above the ground, how long will it be before she lands on the ground? Hint: Use t = d/s. Show your work.
3. A snail crawls over the ground at 1 meter per hour. How far will the slug move in 6 minutes. Hint: Use d = s x t after you convert 6 minutes into hours. Show your work.
4. A race car accelerates from 0 to 30 mi/he (44 ft / sec) in 4 seconds. What is it's acceleration in ft /sec²? Hint: Use a = v / t.
5. A fighter jet is flying along and the pilot wants to go faster. He pushes the throttle so the jet engine is producing full power. The jet accelerates at a rate of 20 m/s² for 10 seconds. How much does the jet increase it's velocity? Hint: Use v = a x t. Show your work.
6. If the jet in question 5 above was traveling at 1000 m/s before it accelerated, how fast was it going after it accelerated for 10 seconds? Show your work.
7. A boy drops a ball. The ball accelerates at 9.8 m/s². How long does it take for the ball to reach a velocu if 1 m/s? Hint: Use t = v / a. Show your work including units.
Answers
Answer:
Step-by-step explanation:
what the hell is this
Answer:
it should be that
Step-by-step explanation:
EQUATION GIVES YOU IF YOU KNOW
v=d/t Speed Distance time
d = v x t Distance Speed and time
t = d/v Time Distance and speed
Please Help! Freshman in high-school Algerbra 1
Answers
Answer:
yes
Step-by-step explanation:
0-10 is obvious because when you look at the chart you can clearly see that theres alot kidsof
What is the value of the expression below? 5+2(10 + 5)
Answers
Or if you’re multiplying it would be 15 x 7
When randomly choosing two bills from a cup of bills that contains a dollar bill a two dollar bill a $5 bill a $10 bill and $20 bill and a $50 bill what is the probability of choosing a $20 bill and a $10 bill?
Answers
Answer:
The answer is 1/36
Step-by-step explanation:
Step one:
Given data
sample space= $1, $2,$5,$10,$20,$50
sample size= 6
Required
The probability of choosing 20 and 10 dollar bill
Step two
The probability is
1/6*1/6= 1/36
0.75(8+e)=2-1.25e
Solve for e please
Answers
Answer:
12 1314
Step-by-step explanation:
i guess this should be the abswer
Answer: e = -2
Step-by-step explanation:
first, i removed the parentheses.
6 + 0.75e = 2 - 1.25e
then, i moved the terms.
0.75 e + 1.25e = 2 - 6
next, i collected the like terms and calculated them.
2e = -4
finally, i divided both sides.
e = -2
there are 60 people in a choir
half of the people in the choir are women
the number of women in the choir is 3 times the number of men in the choir
the rest of the people in the choir are children
the number of children in the choir :the number of men in the choir =n:1
work out the value of n
Answers
Answer:
The value of n is 2.
Step-by-step explanation:
The total number of people in the choir = 60
Number of women in the choir = 30
Let the number of men in the choir be represented by x, so that;
Number of women = 3x
So that;
3x = 30
x = [tex]\frac{30}{3}[/tex]
= 10
The number of men in the choir is 10.
the number of children in the choir: the number of men in the choir = n:1
number of children in the choir = 60 - (number of women + number of men)
= 60 - 40
= 20
number of children in the choir = 20
Thus,
the number of children in the choir: the number of men in the choir = 20:10
= 2:1
The value of n is 2.
Answer:
20 men in the choir and 40 children
Step-by-step explanation:
HURRY I NEED THIS IN 20 mins please help me
Write an equation for the function g whose graph is the graph off
f(x) = -100(1.05)
translated to the right 5 units and up 50 units.
Answers
Answer:
f(x) = -100(1.05)^(x+5) + 50
Step-by-step explanation:
Here, we want to write an equation that represents the transformation
5 units right means 5 units on the positive x-axis
50 units up means we add this to the total y value
So the resulting equation will be;
f(x) = -100(1.05)^(x+5) + 50
please help again lol
Answers
hope this helps
Answer:
55%
Step-by-step explanation:
One whole box is shaded plus that one line, if you separate both into 2 100%, the one line will equal to 10% but then divide the 10% in half and the 100% which will equal to 55%
The regular price of a skateboard is p. Which expression represents the price of the skateboard when it is on sale for 25% off? Select all that apply.
Answers
Answer: The expression represents the price of the skateboard when it is on sale for 25% off = 0.75p
Step-by-step explanation:
Given: Regular price of a skateboard is p.
Discount = 25% off = 0.25p
Now, the price of the skateboard when it is on sale for 25% off = p - Discount
= p -0.25p
= (1-0.25)p
= 0.75p
Hence, the expression represents the price of the skateboard when it is on sale for 25% off = 0.75p
Answer: The expression represents the price of the skateboard when it is on sale for 25% off = 0.75p
Step-by-step explanation:
HELP!!!!!!! Solve the equation |x-1|+3=2
Answers
The absolute value of x-1 is x+1
Our new equation: x+1+3=2
X+4=2
Then you have to isolate the variable
X+(-4+4)=(2-4)
Answer: X=-2
For the expression, select all equivalent expressions from the list.
54y - 24
A. 6(9y - 4)
B. 30y
C. 27y - 12
D.6 x 9y - 6 x 4
Answers
Answer:
the correct answer is A , D
1/3 divided by 4
2/5 divided by 4
4/7 divided by 4
2/5 divided by 3
5/6 divided by 5
5/8 divided by 10
Answers
2. 2/5 divided by 4 is 0.1
3. 4/7 divided by 4 is 0.1428
4. 2/5 divided by 3 is 0.1333
5. 5/6 divided by 5 is 0.1666
6. 5/8 divided by 10 is 0.0625
Answer:
1. 0.0833
2. 0.1
3. 0.1428
4. 0.1333
5. 0.1666
6. 0.0625
Which graph has a slope of -3?
Answers
D.
Its the only one going down 3 and over 1.
The answer would be D because it says -3 and not just 3.
Which is not a representation of the equation y = 0.5x - 2?
Select one: just look at the picture.
Answers
Answer:
D is incorrect so ur answer is D
5 On the first day of school, you notice a few patches of fungus on the leaves of the pumpkin
vines in your garden. You estimate the area covered by the fungus and find that the patches
cover about 1 cm2 Suppose that the leaf area covered by this kind of fungus quadruples (4x)
every day.
Answers
Answer:
Step-by-step explanation:
it xhkr pls
Evaluate the expression when g=7 and h= 5 8h + g
Answers
Answer: 47
Step-by-step explanation:
we simply substitute g for 7 and h for 5.
8(5) + 7
40 + 7
47
8(5)+7
40+7
47
Can anybody help me with this one
Answers
9514 1404 393
Answer:
A(-8, 6), D(-1, -16), E(17, -3)
Step-by-step explanation:
Any point with an x-value that matches any of {-8, -1, 5, 15, 17} will prove Mariela's claim incorrect. (A function cannot use an x-value more than once.)
Those points are ...
(-8, 6), (-1, -16), (17, -3)
Dominic buys a 64-ounce container of salad mix. About how many ounces of romaine lettuce does the container have? 6 ounces 12 ounces 18 ounces 27 ounces Please help cuz im in a pretest and my brain is ded
Answers
Complete question :
The graph below shows the percentages of ingredients in a salad mix.
A pie chart titled Percentages in salad mix. 40 percent is iceberg, 27 percent is romaine, 15 percent is spinach, 12 percent is arugula, 6 percent is carrots.
Dominic buys a 64-ounce container of salad mix. About how many ounces of romaine lettuce does the container have?
Answer:
18 ounces
Step-by-step explanation:
From the pie chart ;
The percentage of each Salad mixture in the mix is given ;
Romaine lettuce occupies 27% of the total salad mix ;
The total of amount of ounce of the entire salad mix is 64 ounce
Therefore, number of ounces of Romaine lettuce in the salad mix is ;
27% of 64
0.27 * 64
17.28
= 18 ounces
PLEASE HELP QUICK
4x^2-7x-15 factored completely.
Answers
Answer:
(4x+5)(x-3)
Step-by-step explanation:
You factor this by grouping together the numbers you get from multiplying/subtracting the numbers in the equation.
The measures of the angles of A ABC are given by the expressions in the table.
Angle
Measure
A
(4x – 13)
B
15
С
(x +18)
What is the measure of ZA and ZC?
Enter your answers in the boxes
mZA =D
mZC=
Answers
Answer:
m∠A = 115°
m∠C = 50°
Step-by-step explanation:
By triangle sum theorem,
Sum of measures of all interior angles of a triangles equals to 180°.
m∠A + m∠B + m∠C = 180°
By substituting the values of the angles from the given table,
(4x - 13) + 15 + (x + 18) = 180
(4x + x) + (-13 + 15 + 18) = 180
5x + 20 = 180
5x = 180 - 20
x = [tex]\frac{160}{5}[/tex]
x = 32
m∠A = (4x - 13)° = 4(32) - 13
= 115°
m∠C = (x + 18)° = 32 + 18
= 50°
Based on the properties of the internal angles in triangles, the measure of the angles A and C from the triangle ABC are equal to 115° and 50°, respectively. #SPJ5
What are the measures of the internal angles of the triangle ABC?According to geometry, triangles are figures formed by three sides and three internal angles and, likewise, the sum of the measures of the internal angles equals 180°. Based on the latter property, we should solve the following expression for x:
(4 · x - 13) + 15 + (x + 18) = 180
5 · x + 20 = 180
5 · x = 160
x = 32
Finally, the measure of the angles A and C from the triangle ABC are, respectively:
m ∠ A = 4 · 32 - 13 = 115°
m ∠ C = 32 + 18 = 50°
Based on the properties of the internal angles in triangles, the measure of the angles A and C from the triangle ABC are equal to 115° and 50°, respectively. #SPJ5
To learn more about triangles, we kindly invite to check this verified question: https://brainly.com/question/2773823 #SPJ5
lines m and n are parallel. what is the measure of angle 4?
a) 25 degrees
b) 55 degrees
c) 115 degrees
d) 145 degrees
Answers
You buy a house that costs $345,000. You put down a downpayment of 20%. You borrow the rest from the bank, who charges an annual interest rate of 4.6%. If you pay this back in 30 years, how much did the house cost you in total? A=p(1+rt) format
Answers
Answer:
Total cost of the house = $725,880
Step-by-step explanation:
This can be calculated as follows:
Down payment = $345,000 * 20% = $69,000
Amount borrowed = $345,000 * (100% - 20%) = $276,000
The total amount of loan repaid can be calculated using the following formula:
A = p(1 + rt) .................... (1)
Where;
A = Total amount of loan repaid = ?
p = Principal or amount borrowed = $276,000
r = annual interest rate = 4.6% = 0.046
t = number of years = 30
Substitute the values into equation (1), we have:
A = $276,000 * (1 + (0.046 * 30)) = $656,880
The total cost of the house can now be calculated as follows:
Total cost of the house = Down payment + Total amount of loan repaid = $69,000 + $656,880 = $725,880
NEED HELP ASAP PLS HELP WILL GIVE BRAINLIEST
A triangle has side lengths of 1512, 223, and 314. What is the perimeter of the triangle? Remember that the perimeter of a triangle is the sum of its side lengths.
Answers
Answer:
Step-by-step explanation:
P= a+b+c
P= 1512+223+314
=2049
3(2+5)−5(3)+8=
Evaluate
Answers
You’d evaluate using PEMDAS
Answer:
3(2+5)−5(3)+8=14
Step-by-step explanation:
Write the problem as a mathematical expression.
=>3(2+5)−5⋅3+8
Simplify each term.
=>21−15+8 = 14
PLZ: show work, solve for x:
Answers
x+11/-2=-8
x+11/-2 x -2= -8 x -2
x+11= 16
X+11-11=16-11
x = 5
Anyone know how to do this I really don’t understand
Answers
Answer:
slope of AB = 4
slope of CD = 4
Step-by-step explanation:
We simply use the slope formula for this;
The slope formula is;
m = (y2-y1)/(x2-x1)
for AB, we have;
m = (3+1)/(6-5) = 4
For CD, we have
m = (-1-3)/(1-2) = -4/-1 = 4
Can you please help with both? :)
Answers
Answer: 1. 12 2. 120
Step-by-step explanation:
1. so basically 9/6=18/x
since they are similir the'd have the same ratio
sooo you just solve for x (multiply 6 by 18, and then divide by 9) and you get 12
2. same thing except you put 6/10=12/x, and solve it (multiply 10 by 12 and divide by 6) and u get 20
dats how i would do it but there are other ways too im sure :)
hope this helps
Multiply 2ab(−a+2b+3).
−2a2b+4ab2+6ab
8a2b2
−2a +2ab+3b
8ab
Answers
Answer:
−2a2b+4ab2+6ab
Step-by-step explanation:
i took the test