Given the definitions of f(x) and g(x)
below, find the value of f(g(-4)). F(x)=4x+6 g(x)=x^ 2+x-9
Answer:
[tex]f(g(-4)) = 18[/tex]
Step-by-step explanation:
Given
[tex]f(x) = 4x + 6[/tex]
[tex]g(x) = x^2 + x - 9[/tex]
Required
Find f(g(-4))
First, calculate f(g(x))
We have:
[tex]f(x) = 4x + 6[/tex]
[tex]f(g(x)) = 4g(x) + 6[/tex]
Substitute: [tex]g(x) = x^2 + x - 9[/tex]
[tex]f(g(x)) = 4[x^2 + x - 9] + 6[/tex]
Open bracket
[tex]f(g(x)) = 4x^2 + 4x - 36 + 6[/tex]
[tex]f(g(x)) = 4x^2 + 4x-30[/tex]
Substitute [tex]-4[/tex] for [tex]x[/tex]
[tex]f(g(-4)) = 4*(-4)^2 + 4*(-4)-30[/tex]
[tex]f(g(-4)) = 64 -16 -30[/tex]
[tex]f(g(-4)) = 18[/tex]
15. Find the difference between the sum of
378 and 401 and the product of 43 and 17.
Answer:
the answer to your question is 1510
what is 7 times 5 plz help
7 apples times 5 tomato's equal 35 potato's!
Answer:
it is a simple question and easy to learn
Step-by-step explanation:
it's 35 because if you add 5+5+5+5+5+5+5=35 it will equal the same answer as 7x5=35.
Graph the point (-2,-3) on the coordinate plane
Answer:
The point will come in III quadrant
Step-by-step explanation:
The graph is as follows:
What is the answer to this question>
Michael surveyed a random sample of students in his school about the number of sports they play. There are 300 students in Michael's school. Use the
results of the survey to estimate the number of students in Michael's school who play exactly one sport.
Answer:
75 students
Step-by-step explanation:
From the table, we can calculate the total number of students surveyed by Michael:
Total student surveyed = 13 + 15 + 32 = 60 students
We can see that out of the 60 students, 15 students played exactly one sport. Hence:
Proportion of students playing exactly one sport = 15 / 60 = 0.25
Based on the result of the survey, if they are 300 students, number of students playing exactly one sport is:
Number of students playing exactly one sport = proportion * total students = 0.25 * 300 students = 75 students
what is 34.287 rounded to the nearest tenth (im to lazy to answer this but i will give brainliest and no links please)
Answer:
34.3
Step-by-step explanation:
Answer: The answer is (34.3)
Step-by-step explanation:
Since you're rounding to the nearest tenth, you gotta look at the hundreds place which is 8. 8 rounds up so therefore, 2 rounds up and becomes 3. Which gives you the answer (34.3)
~ Hope this helps you out, have a gr8 day/night my friend!~
PLEASE HELP!
Solve the system.
y=x2−10x+15y=−10
Enter your answer as a coordinate point with no spaces in the box.
Answer: (5,-10)
Step-by-step explanation: hope this helps
I’ll
Give Brainlest
Write 1.28:3.12 as a whole number ratio in it's simplest from.
Answer: 1.28 : 3.12 = 16 : 39
Step-by-step explanation: now let me sleep
Question shown in image.
Answer: Step-by-step explanation:
33)
Which graph is given by the equation y = -3x - 3?
A)
B)
D)
Answer:
A. (I couldn't really see the last graph, but I am 89% sure that it is A)
Step-by-step explanation:
PLS HELP ME GIVING OUT BRAINLIEST ANSWER!!
Answer:
4r^2
Step-by-step explanation:
The area of a square is the square of the side length. Since a circle with radius r is inscribed inside the square, the side length of the square is 2r. Therefore, the area of the square is (2r)^2, which is 4r^2.
Note that the area of the circle is [tex]\pi r^2[/tex].
Rajesh gave 1/2 of his provident fund to his wife,1/4 to his son and the remainder was to be divided equally between his two brothers so that each brother got Rs 10000.
What was the amount of provident fund?
Answer:
$ 80 000
Step-by-step explanation:
provident fund -- x
Wife -- 1/2 of x
Son -- 1/4 of x
Two brothers -- x - (x/2 - x/4)
Therefore, x - (x/2 - x/4) / 2 = 10 000
x = 80 000
Therefore, the amount of provident fund is $ 80 000
Thenks and mark me brainliest :)
What is the messing reason in step 3
Answer:
Linear Pair Theorem
Step-by-step explanation:
Linear Pair Theorem:
If two angles form a linear pair, then they are supplementary, and the sum of their measures is 180°.
Solve the equation 4/5+ 3x/7=2/10
Pls answer ASAP!! thanks yall
Answer:
x = -7/5
or x = -1.4
Step-by-step explanation:
2/10 - 4/5 = -3/5
-3/5 * 7 = -21/5
-21/5 ÷ 3 = -7/5
ILL GIVE BRAINLEST :))
Answer: A kite is always quadrilateral, rhombus, parallelogram, and a trapezoid.
A company makes bicycles in two sizes. The smaller bicycle weighs 18.5 pounds. The larger bicycle weighs 1 1/4 times as much as the smaller bicycle. How many pounds does the larger bicycle weigh?
Answer:
[tex] \displaystyle23.125 \: \text{pounds}[/tex]
Step-by-step explanation:
we are given that,
the weight of a smaller bicycle is 18.5 poundsthe weight of a larger bicycle is 1¼ times as much as the smaller bicyclein order to figure out the weight of the larger bicycle we can consider using equation
let the weight of the larger bicycle be L
according to the second condition
we acquire
[tex] \displaystyle L = 18.5 \times 1\frac{1}{4} [/tex]
to simplify the mixed fraction to improper fraction we can use the formula given by
[tex] \displaystyle \rm c\frac{a}{b} \xrightarrow{ \text{improper fraction}} \frac{b \times c + a}{b} [/tex]
by using the formula we get
[tex] \displaystyle L = 18.5 \times \frac{5}{4} [/tex]
simplify multiplication:
[tex] \displaystyle L =\frac{92.5}{4} [/tex]
simplify division:
[tex] \displaystyle L =23.125[/tex]
hence,
the larger bicycle weighs 23.125 pounds
derivative of
[tex] \frac{ {3x}^{2} - 2x - 1 }{ {x}^{2} } [/tex]
Show a step.
Answer:
[tex] \displaystyle \frac{dy}{dx} = \frac{2x + 2}{x^3} [/tex]
Step-by-step explanation:
we would like to figure out the derivative of the following:
[tex] \displaystyle \frac{ { 3x }^{2} - 2x - 1 }{ {x}^{2} } [/tex]
to do so, let,
[tex] \displaystyle y = \frac{ { 3x }^{2} - 2x - 1 }{ {x}^{2} } [/tex]
By simplifying we acquire:
[tex] \displaystyle y = 3 - \frac{2}{x} - \frac{1}{ {x}^{2} } [/tex]
use law of exponent which yields:
[tex] \displaystyle y = 3 - 2 {x}^{ - 1} - { {x}^{ - 2} } [/tex]
take derivative in both sides:
[tex] \displaystyle \frac{dy}{dx} = \frac{d}{dx} (3 - 2 {x}^{ - 1} - { {x}^{ - 2} } )[/tex]
use sum derivation rule which yields:
[tex] \rm\displaystyle \frac{dy}{dx} = \frac{d}{dx} 3 - \frac{d}{dx} 2 {x}^{ - 1} - \frac{d}{dx} {x}^{ - 2} [/tex]
By constant derivation we acquire:
[tex] \rm\displaystyle \frac{dy}{dx} = 0 - \frac{d}{dx} 2 {x}^{ - 1} - \frac{d}{dx} {x}^{ - 2} [/tex]
use exponent rule of derivation which yields:
[tex] \rm\displaystyle \frac{dy}{dx} = 0 - ( - 2 {x}^{ - 1 -1} ) - ( - 2 {x}^{ - 2 - 1} )[/tex]
simplify exponent:
[tex] \rm\displaystyle \frac{dy}{dx} = 0 - ( - 2 {x}^{ -2} ) - ( - 2 {x}^{ - 3} )[/tex]
two negatives make positive so,
[tex] \displaystyle \frac{dy}{dx} = 2 {x}^{ -2} + 2 {x}^{ - 3} [/tex]
further simplification if needed:by law of exponent we acquire:
[tex] \displaystyle \frac{dy}{dx} = \frac{2 }{x^2}+ \frac{2}{x^3} [/tex]
simplify addition:
[tex] \displaystyle \frac{dy}{dx} = \frac{2x + 2}{x^3} [/tex]
and we are done!
When the smaller is deducted from twice the larger, the result is 59. What are the numbers?
CAN SOMEONE HELP ME WITH THIS
The answer is B not any other mostly because you need to
subtract both equations to remove the variable.
y=-x+3 y = -2.x +7 = 5.
Answer:
Slope: 3/5
y-intercept: 7
Step-by-step explanation:
Yesterday, Fairlane got 1 1/2 inches of rain. It got 3/4 of that rain before 3:00 P.M. How much rain did Fairlane get before 3:00 P.M.
Answer:
3/4
Step-by-step explanation:
1 1/2
3/2 make this 6/4 so you can have a common denominator
3/4
Then you subtract and boom 3/4 it also says in the problem lol
Pls!!!!! Answer this I only have like 10 minutes. Pls no links either. I really need help pls!!!
Answer:
y-intercept = 2
slope = 3/4
y = 3/4x + 2
6)
Simplify
12
A)
B
5
BV
D
BV
Answer:
"The square root of 12 is represented in the radical form as √12, which is equal to 2√3. Since 2√3 cannot be further simplified, hence such roots are called surds"
Step-by-step explanation: I just looked it up-
Find the radius of the curcle
Answer:
radius=diameter/2
=9/2
=4.5 in.
diameter=radius*2
=3m*2
=6m
Step-by-step explanation:
Step-by-step explanation:
1) r=d/2
r=9in/2
r=4.5in
2) d= r×2
d=3m×2
d=6m
Select the correct answer.
What is ?
A.
B.
C.
D.
E.
I think it’s 14
———————
Answer:
-14
Step-by-step explanation:
Under her cell phone plan, Aubree pays a flat cost of $50.50 per month and $4 per gigabyte. She wants to keep her bill at $56.10 per month. Write and solve an equation which can be used to determine gg, the number of gigabytes of data Aubree can use while staying within her budget.
Equation:
Answer: gg =
Answer:
4.4 gibrayets should be it
Write a thesis statement for your argument aginst online learning
Answer:
Step-by-step explanation:
Online Learning is bad because it can cause social Isolation, it requires strong self-motivation and time management skills , Lack of communication skill development in online students and cheating prevention during online assessments is very complicated.
A Volkswagen Jetta trunk is 47 inches wide by 42 inches deep by 22 inches high. What is the volume of the trunk?
A.
111 cubic inches
B.
7,864 cubic inches
C.
1,974 cubic inches
D.
43,428 cubic inches
some one please help me with this i don’t get it ughhhh
Answer:
i think its 0
Step-by-step explanation: