Answer:
The value of g(22) = 31
Hence, option D is correct.
Step-by-step explanation:
Given
f(x)= 4x³ – 10 g(x) = 3x - 4 /2To determine
g(f(2)) = ?
To determine g(f(2)), first, we need to calculate f(2)
so substitute x = 2 in f(x)= 4x³ – 10
f(x)= 4x³ – 10
f(2) = 4(2)³ - 10
f(2) = 32 - 10
f(2) = 22
so
g(f(2)) = g(22)
now substitute x = 22 in g(x) = [3x - 4] / [2]
g(x) = [3x - 4] / [2]
g(22) = [3(22) - 4] / [2]
g(22) = [66-4] / [2]
g(22) = [62] / [2]
g(22) = 31
so
g(f(2)) = g(22) = 31
Therefore, the value of g(22) = 31
Hence, option D is correct.
Answer:
The correct answer is D. 31.
Step-by-step explanation:
I got it right on the Plato test.
I need help with this plz
Answer:
c
Step-by-step explanation:
7/10
The points in the table lie on a line. Find the slope of the line.
Answer:
slope: [tex]\frac{1}{2}[/tex]
Step-by-step explanation:
If we were to plot the first pair on a graph it would be (-2,3) and the next pair of points plotted would be (0,4). The intercepts are [tex]x^{1},x^{2}[/tex] and [tex]y^{1}, y^{2}[/tex]. To find the slope of a line using pairs of plotted points, you need to use the slope formula [tex]\frac{rise}{run}[/tex] to solve this.
- write your formula
[tex]\frac{rise}{run} : m=\frac{y^{2}-y^{1} }{x^{2}-x^{1} }[/tex]
- plug in your numbers
[tex]m=\frac{4-3}{0-(-2)}[/tex]
- solve
[tex]m=\frac{1}{2}[/tex]
I hope this helps!
Which of the equations below has a slope of of 1/5 ?
100 points! I will mark brainliest! Only answer if you know it! Random answers WILL IN FACT be reported :)
Answer:
y = 1/2x - 8 this is it
Step-by-step explanation:
Given that
a = -2, b = 5 and c = -5
work out
2b - 3ac
Answer:
- 20
Step-by-step explanation:
Given the expression
2b - 3ac ← substitute given values for a, b and c
= 2(5) - (3 × - 2 × - 5)
= 10 - 30
= - 20
Answer:
-20 is the required answer
Step-by-step explanation:
2b-3ac
=2×5-3×-2×-5
=10-30
=-20
Match each graph to its equation below.
The correct matching will be given as A-1, B-3, and C-2.
What is the parabola?It's the locus of a moving point that keeps the same distance between a stationary point and a specified line. The focus is a non-movable point, while the directrix is a non-movable line.
The general equation is given below.
y = ax²
If the value of a is negative then downward parabola and if the value of a is positive then upward parabola.
If the value of a is less than one then parabola shrinks and if the value of a is more than one then parabola spreads.
Graph A is upward and shrinks parabolas so the equation will be y = x⁸.
Graph B is downward parabolas so the equation will be y = -3x⁸.
Graph C is upward and wider parabolas so the equation will be y = 0.25x⁸.
Then the correct matching will be given as A-1, B-3, and C-2.
More about the parabola link is given below.
https://brainly.com/question/8495504
#SPJ1
algebraic form of the square of the sum of r and t.
At the beginning of summer, Mark has $200 in savings and Ryan has $350. The brothers have mowing jobs set up for the summer. Because Mark is older, he receives $20 for each mowing job and Ryan receives $15. The brothers' parents pay for the fuel used to mow, so all of the money the brothers earn goes to savings. Write two equations, one for Mark and one for Ryan, to represent the money in savings (s) based on the number of mowing jobs (j) Mark and Ryan do. Determine the number of mowing jobs it takes for Mark to have the same amount in savings as Ryan does. Show your work.
Answer:
[tex]m = 200 + 20j[/tex]
[tex]r = 350 + 15j[/tex]
Number of jobs is 30
Step-by-step explanation:
Variable representation
Let Mark's total earnings for moving be m
Let Ryan's total earnings for moving be r
Represent the number of jobs with j
Setup equation
Mark:
[tex]Initial\ Savings = 200[/tex]
[tex]Rate = 20[/tex]
So, the total savings is:
[tex]m = 200 + 20j[/tex]
Ryan
[tex]Initial\ Savings = 350[/tex]
[tex]Rate = 15[/tex]
So, the total savings is:
[tex]r = 350 + 15j[/tex]
To get the number of jobs they save the same amount.
We have:
[tex]m = r[/tex]
Substitute values for m and r
[tex]200+20j = 350+15j[/tex]
Collect Like Terms
[tex]20j - 15j = 350 - 200[/tex]
[tex]5j = 150[/tex]
Divide both sides by 5
[tex]j = \frac{150}{5}[/tex]
[tex]j = 30[/tex]
Hence, the number of jobs is 30
Factor completely and check your answer:
Help!
Answer:
The expression x² + 8x + 7 can be factored out as (x + 7)(x + 1).
Step-by-step explanation:
You can see how this factors by looking at the last term, and the coefficient of the second term. You need to find two numbers that multiply to make seven, and add to make eight.
Because seven is a prime number, this becomes very easy. If this works at all, the numbers must be seven and one.
And lo, if you check, seven and one do indeed add up to be eight, so that's what we need to use. Let's do it:
x² + 8x + 7
= x² + x + 7x + 7
= x(x + 1) + 7(x + 1)
= (x + 7)(x + 1)
solve for b? please help me ASAP!!
Answer:
b = [tex]\sqrt{45}[/tex]
Step-by-step explanation:
Using Pythagoras' identity in the right triangle on the left.
The square on the hypotenuse is equal to the sum of the squares on the other 2 sides, that is
b² + 6² = 9²
b² + 36 = 81 ( subtract 36 from both sides )
b² = 45 ( take the square root of both sides )
b = [tex]\sqrt{45}[/tex]
please help i am adding you to brainliest, 100% promise. please look at the picture
Answer:
The answer is c
Step-by-step explanation:
your welcome
what is the equation of the line given the table
Answer:
y=3x-1
Step-by-step explanation:
Happy Paws charges $22.00 plus $4.50 per hour to keep a dog during the day. Woof Watchers charges $11.00 plus $5.75 per hour. Write an equation and solve it to find for how many hours the total cost of the services is equal. Use the variable h to represent the number of hours.
Answer:
Total amount charged by Happy Paws = 22 + 4.50h
Total amount charged by Woof Watchers = 11 + 5.75h
3.2 hours
Step-by-step explanation:
Total amount charged by Happy Paws = 22 + 4.50h
Total amount charged by Woof Watchers = 11 + 5.75h
22 + 4.50h = 11 + 5.75h
Collect like terms
22 + 11 = 4.5h + 5.75h
33 = 10.25h
Solve for h
33/10.25 = h
h = 3.22
help please n thank u
i’ll mark brainlist
Answer:
Slope = -1/4
Y-intercept = 50
Step-by-step explanation:
Change in y/ change in x = slope
75/-100 = -1/4
For y, the numbers decrease 25 each time so the change in y is -25.
For x, the numbers increase 100 each time so the change in x would be 100.
The fraction you have left is -25/100
Now, you simplify -25/100 and you get -1/4.
The y-intercept is 50 because x is 0 at the same time in the chart.
Find the value of x.
Z
Y
11x – 10
80°
W
X
Answer: I think the value of x is 20 but im not sure
Step-by-step explanation:
no explanation here
Michael reads 12 pages of a book in 18 minutes, 8 pages in 12 minutes, and 20 pages in 30 minutes. I’d this a proportional relationship? What does it represent? Write an equation to represent this situation.
Answer:
Y= 1.5x
Step-by-step explanation:
What you would do is divide all of the minutes by the amount of pages to find how long for each rate for one page. (ex. 18/12, Michael reads 1 page in 1.5 minutes. 12/8, Michael reads 1 page in 1.5 minutes. 30/20, Michael reads one page in 1.5 minutes) Therefore, yes it is proportional, and the equation is y=1.5x (there is no y intercept)
I hope this will help
Solve.
12.25 = 2.5 =
4.9
4.5
6.5
0.49
12. Which explains whether the relation shown is a function?
A) The relation is a function since it is continuous.
B) The relation is not a function since it is not symmetrical
C) The relation is a function since it passes the vertical line test
D) The relation is not a function since it does not pass the horizontal line test.
Answer:
C
Step-by-step explanation:
the vertical line test is when you check to see if a point of the graph is passed twice. in this case it does pass the vertical line test. therefore, it is a function.
A salesperson at a jewelry store earns 9% commission each week. Last week, Heidi sold $640 worth of jewelry. How much did she make in commission? How much did the jewelry store make from her sales?
Answer:19.2
Step-by-step explanation:
I need help with these 2.
What is the slope of this line
Зr — Зу = — 18
9x — 6y= — 48
Please help!
Answer:
The answer should be (-4,2)
Step-by-step explanation:
Help meee please.........
Answer: B
x looks like .9 so if -.9 + 3 = -2.1 then you can see that's the answer on the number line, hope it helps, I'm 80% sure it's right
I drive 55 miles per hour for 3 hours, stop for lunch for an hour, then drive 4 more hours at 62 miles per hour. What was my average speed for my 8 hour trip?
Answer:
15.5
Step-by-step explanation: I know because I calculated it praporly if you say I am wrong then most likely your wrong
Ap ex: What is the solution to this system of equation?
y = x - 4 y = -0.5x + 8
a. (4,2)
b. (8,4)
c. (4,8)
d. (2,4)
Answer:
x = 8, y = 4
Step-by-step explanation:
y = x - 4
y = -0.5x + 8
y = y
x - 4 = -0.5x + 8
x + 0.5x = 8 + 4
1.5x = 12
x = 12/1.5
x = 8
To get "y" substitute the 8 for the "x" value in any of the two equations (they will both give the same answer.)
y = (8) - 4
y = 4
OR
y = -0.5(8) + 8
y = -4 + 8
y = 4
solve the square root of 2x-5=x-4
Mr. JB has a rectangular lot that measures 550 meters by 550 km. What is the area of the land in square meter. He i selling the whole lot for 206,250,000 pesos how much is the price per square meter?
9514 1404 393
Answer:
15/22 peso/m^2 ≈ 0.68182 peso/m^2
Step-by-step explanation:
The area is the product of the dimensions. 1 km = 1000 m.
A = (550 m)(550·1000 m) = 302,500,000 m^2
The price per square meter is ...
206,250,000/302,500,000 peso/m^2
= 15/22 peso/m^2 ≈ 0.68182 peso/m^2
help appreciated.
How many hours of training would you need to have a salary of $2,000?
Answer: you will have 56
Step-by-step explanation:
Answer:
100 hours
Step-by-step explanation:
Because 18 would be 1800 and then 19 would be 1900 and then 100 would be 2000
Martin has a total of 19 nickels (50.05) and dimes ($0.10) worth $1.65. How many of each type of coin does he have?
can put your work too
Answer: 19nickels and 7dimes.
Ps i really don’t know where the 50.05 came from if it is suppose to be there then I really don’t know how to solve this.
Step-by-step explanation:
Ok so if you know that there are 19nickels, let n=number of nickels.
The number of total coins subtracted by number of nickels will give you number of dimes.
165-number of nickels=number of dimes
Value of dimes=10(number of dimes) or total value of dimes/individual value (10cent)
Then you can substitute total as $1.65 and get the value of nickels by multiplying by 5cent ( my teacher taught me using whole numbers to make it easier so I turned $1.65 to 165 cent). Since the value of the dimes is the value of nickels subtracted from the total, I can subtract 95 from 165 and divide the difference by 10, to get the number of dimes.
5(n)=5(19)=95
(165-95)/10=number of dimes
70/10=7dimes
You can check by multiplying 7x10 and 5x15 again and adding them together to see if they equal 165 cent.
Susie is visiting the U.S. from Mexico. One day she stopped by a market and found a stall selling tomatoes for 0.97 dollars per pound. If 1 peso was worth 0.053 dollars that day, how much did the tomatoes cost in pesos per kilogram?
Answer:
eish
Step-by-step explanation:
shhsjsbsbebsjushehbsjejdudushebeisius I'm sorry