Step-by-step explanation:
(f o g)(x)
= f(x² - 5)
= 4(x² - 5) + 1
= 4x² - 19.
Therefore (f o g)(4) = 4(4)² - 19 = 64 - 19 = 45.
Answer:
[tex]\boxed {\boxed {\sf 45}}[/tex]
Step-by-step explanation:
When solving a composition of function composition, work from the inside to the outside.
We have the composition:
(f o g)(4)We must start on the inside, and find g(4) first.
1. g(4)
The function for g is:
[tex]g(x)=x^2-5[/tex]
Since we want to find g(4), we have to substitute 4 in for x.
[tex]g(4)=(4)^2-5[/tex]
Solve according to PEMDAS: Parentheses, Exponents, Multiplication, Addition, and Subtraction. First we should solve the exponent.
(4)²= 4*4= 16[tex]g(4)=16-5[/tex]
Subtract 5 from 16.
[tex]g(4)= 11[/tex]
Now, since g(4) equals 11, we have:
(f o g)(4)= f(11)2. f(11)
The function for f is:
[tex]f(x)= 4x+1[/tex]
We want to find f(11), so substitute 11 in for x.
[tex]f(11)= 4(11)+1[/tex]
Solve according to PEMDAS and multiply first.
[tex]f(11)= 44+1[/tex]
Add.
[tex]f(11)= 45[/tex]
(f o g)(4) is equal to 45.
2(3x-17) by using the distributive property
This is a complex fraction
12 - 4 + 6 / 4 - 2 + 3
How do you solve it?
Answer:
I would start by adding/subracting the values in the numerator. by doing this you will get [tex]\frac{2}{4-2+3}[/tex] . Then do the same thing on the bottom to get [tex]\frac{2}{-1}[/tex] or -2
Answer:
I would start by adding/subracting the values in the numerator. by doing this you will get \frac{2}{4-2+3}
4−2+3
2
. Then do the same thing on the bottom to get \frac{2}{-1}
−1
2
or -2
A store was having an end-of-summer sale with a discount of 25% on all swimsuits. Sarah saw a swimsuit she liked that had an original price of $60. What is the swimsuit's discounted price?
PLEASE HELP ASSP!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answer:
E that's the answer if reflected it'd look like a mirror image
Answer:
The answer is E
Step-by-step explanation:
There are 5 birch trees in each row at the nursery. There are 9 rows of birch trees. How many birch trees are in the nursery?
45 Answer:
Step-by-step explanation:45
Answer:
45
Step-by-step explanation:
5x9=45
How to get that answer it to count by 5's.
5, 10, 15, 20, 25, 30, 35, 40, 45.
Another way to get there is to count by 9's
9, 18, 27, 36, 45.
Need help fast thank you
Answer:
I think B
Step-by-step explanation:
Uhh
John has three bags, each containing x counters. He removes one country from each of his bags. Write an expression for the total number of counters in John's bag now
Answer: 3x - 3
Step-by-step explanation:
Each bag contained x counters and there are 3 bags.
He removes one counter from each of the 3 bags so the expression for the counters in each bag is now;
= x - 1
As there are 3 bags, the expression is;
= 3 * ( x - 1)
= 3x - 3
A farmer is selling apples from his orchard. He uses the equation c = 1.6p to calculate the total cost, c, for every pound of apples, p.
a.) How much does a customer pay for 1 pound of apples?
b.) How much would 8.5 pounds of apples cost?
c.) A customer spent $5.20. How many pounds of apples did they purchase?
Pentagon PENTA has coordinates P(0,0), E (4,4), N (8,4), T ( 8,-4), and A (4,-4) and is dilated at the origin with a scale factor of 3/4. Select all that are coordinates of P’E’N’T’A?
Answer:
5
Step-by-step explanation:
because thats the answer
Answer:
P'(0,0), E' (3,3), N'(6,3), T'(6,-3), A'(3,-3)
Step-by-step explanation:
1.The dilation is by a scale factor of 3/4 meaning it's less than one, meaning the image will get smaller.
2.To find the new coordinates, multiply 3/4 by each number in the coordinate pair. For example 4x3/4 is 3 making (4,4) (3,3).
Can someone pleaseeee help if you’re correct I’ll give u brainlist
Answer:
a = 49°
Step-by-step explanation:
Answer: 49
Step-by-step explanation: 180-82-49= 49
will give brainliest
determine the value of sin(-240°)
Answer:
[tex]\frac{\sqrt{3} }{2}[/tex]
Step-by-step explanation:
Given
sin(- 240°)
To obtain the positive angle measure add 360°, equivalent to one full revolution about the origin, then
ain(- 240°)
= sin(- 240 + 360)°
= sin120°
= sin( 180 - 120)°
= sin60°
= [tex]\frac{\sqrt{3} }{2}[/tex]
7x/2+(-11)=3
x=?
Merry Christmas and or other holidays you celebrate!
Answer:
x = 4
Step-by-step explanation:
Answer:
x=4
Step-by-step explanation:
Solve for x by simplifying both sides of the equation, then isolating the variable.
Please I need help fast!!!
You are going to an amusement part.it cost $15 to get in and $2 for each ride.
Use quadratic regression to find the equation for the parabola going through these three points (-7,134)(-3, 10)(5,50)
Please help me! Thanks
Answer:
Step-by-step explanation:
y = ax² + bx + c
a( - 7)² + b( - 7) + c = 134 ⇔ 49a - 7b + c = 134 ......... (1)
a( - 3)² + b( - 3) + c = 10 ⇔ 9a - 3b + c = 10 ......... (2)
a(5)² + b(5) + c = 50 ⇔ 25a + 5b + c = 50 ......... (3)
(1) - (2)
40a - 4b = 124 ⇔ 10a - b = 31 ........... (4)
(3) - (2)
16a + 8b = 40 ⇔ 2a + b = 5 ........... (5)
(4) + (5)
12a = 36 ⇒ a = 3
2(3) + b = 5 ⇒ b = - 1
9(3) - 3( - 1) + c = 10 ⇒ c = - 20
y = 3x² - x - 20
y = [ 3 ] x² + [ - 1 ] x + [ - 20 ]
Translate (-7, 4) to the right 5 and up 7
Graph y = -1/4x + 6. Please help!!
Answer:
6 1/4
Step-by-step explanation:
Kiran says that the
Blep
pattern is growing
linearly because as the step number goes up by 1, to
number of rows and the number of columns also
increase by 1. Do you agree? Explain your reasoning
Answer:
what?
Step-by-step explanation:
10. If x = -2, y=-6 and z= 4, find the value of 4xy
Z
Answer:
192
Step-by-step explanation:
Given
4xyz ← substitute given values into expression
= 4 × - 2 × - 6 × 4 = - 8 × - 24 = 192
Can 5,8,12 be a triangle
Answer: For an oblique or acute triangle sure but not a right triangle
Step-by-step explanation: I guess the sides would work on a regular non right triangle but Pythagorean theorom doesn't work here so the sides don't work for a right triangle
Answer:
Step-by-step explanation:
since the two smaller numbers don't add up to more than the bigger they can. but not a right triangle :|
PLEASE ANSWER!!!! SIMPLE MATH PROBLEM PLEASE
Given that: SinA = a/b, then cosA =
Answer:
please see it my step solution work
(I’ll give brainliest)
Answer:
i cant read it sorry
Step-by-step explanation:
The science teacher asked Ramona and Tino to make a graph illustrating the weekly plant growth with sunlight. Which type of graph would be the most appropriate for Brittney to use?
More likely a line graph
Answer:
line graph
Step-by-step explanation:
Given f(x) = -x + 6 write an equation for f(x+3)
Answer:
Step-by-step explanation:
f(x)=-x+6
f(x+3)=-(x+3)+6=-x-3+6=-x+3
Answer:
f(x + 3) = -x + 3
General Formulas and Concepts:
Pre-Algebra
Distributive PropertyAlgebra I
Function NotationCombining Like TermsStep-by-step explanation:
Step 1: Define
f(x) = -x + 6
f(x + 3) is x = x + 3
Step 2: Evaluate
Substitute in x: f(x + 3) = -(x + 3) + 6Distribute -1: f(x + 3) = -x - 3 + 6Combine like terms: f(x + 3) = -x + 3help plzzz
3x - 4 = -2x + 31
Answer:
x=-7
if you were to simplify and do all the correct steps then you would be able to get the correct answer and I hope this helps you
The points (-5, -22) and (4, r) lie on a line with slope 3. Find the missing coordinate r.
Step-by-step explanation:
here,
x1= -5. x2=4
y1= -22. y2=r
slope(m)=3
now we have,
m=(y2-y1)/(x2-x1)
or,3=(r-(-22))/(4-(-5))
or,3=(r+22)/(4+5)
or,3=(r+22)/9
or,27=r+22
or,r=27-22
or,r=5
WILL MARK BRAINLIEST Select the correct answer. Consider these functions: f(x) = 3x^3 + 8x-2 k(x) = 4x What is the value of k(f(x))?
Answer:
D. 12x³ + 32x - 8
General Formulas and Concepts:
Pre-Algebra
Distributive PropertyAlgebra I
Function NotationComposite FunctionsStep-by-step explanation:
Step 1: Define
f(x) = 3x³ + 8x - 2
k(x) = 4x
k(f(x)) is x = f(x)
Step 2: Find k(f(x))
Substitute: k(f(x)) = 4(3x³ + 8x - 2)Distribute 4: k(f(x)) = 12x³ + 32x - 8BRAINLIEST IF YOU ANSWER ALL!! HELP PLEASE
Answer:
11 n+7=18
31 n-9=22
7 5xm=35
50 m/5=10
15 18+s=33
17 40-s=23
3 27=9xs
6 18/s=3
5 m+m+12=22
2 m+14=18-m
Step-by-step explanation:
11: n+7=18
7: 5 x m =35
50: m/5 = 10
17: 40-s=23
3: 27= 9 x s
6: 18/s = 3
5: m+m+12 = 22
2: m+14 = 18-m
hope this helps!! :)
Dawn is y years old.
Rashid is three times as old as Dawn.
Hugo is seven years younger than Dawn.
The total of Dawn's age, Rashid's age and Hugo's age is T years.
a) Find a formula for T in terms of y.
Answer:
T= y+ 3y-7
Step-by-step explanation
I'm pretty sure you can also write T= 4y-7 as a simplified form of the equation
The formula for T in terms of y can be written as;
T= y+ 3y -7
What is an equation?An equation is an expression that shows the relationship between two or more numbers and variables.
A mathematical equation is a statement with two equal sides and an equal sign in between. An equation is, for instance, 4 + 6 = 10. Both 4 + 6 and 10 can be seen on the left and right sides of the equal sign, respectively.
Given that Dawn is y years old.
So, Rashid is three times as old as Dawn means R = 3y
Hugo is seven years younger than Dawn means H = y - 7
The total of Dawn's age, Rashid's age and Hugo's age is T years.
We can also write T= 4y-7 as a simplified form of the equation
Learn more about equations here;
https://brainly.com/question/25180086
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