Given:
[tex]f(x)=4x-7[/tex]
[tex]g(x)=4x[/tex]
To find:
The expression for f(f(x)).
Solution:
We need to find f(f(x)).
[tex]f(f(x))=f(4x-7)[/tex] [tex][\because f(x)=4x-7][/tex]
[tex]f(f(x))=4(4x-7)-7[/tex] [tex][\because f(x)=4x-7][/tex]
Using distributive property, we get
[tex]f(f(x))=4(4x)+4(-7)-7[/tex]
[tex]f(f(x))=16x-28-7[/tex]
[tex]f(f(x))=16x-35[/tex]
Therefore, the expression for f(f(x)) is [tex]f(f(x))=16x-35[/tex].
After a tropical storm in a certain state, news reports indicated that 19 percent of households in the state lost power during the storm. A state engineer believes that estimate is too low. The engineer will collect data to perform a hypothesis test on the proportion of all households without power. Which of the following are the appropriate hypotheses for such a test?
Answer:
D
Step-by-step explanation:
The null hypothesis is that p=0.19. The engineer says that this estimate is too low, meaning he believes the true proportion is greater than 0.19 - p>0.19. Because this is a proportion of ALL houses in the state, we use p rather than phat, leaving D as the correct answer.
Marcia is given ZAB shown below.
B.
C
She is asked to construct the bisector of the angle BD.
She places point D in the interior of 2ABC, and places the
point of the compass on point D to create an arc intersecting
BA and BC.
Is this correct? Why or why not
What is the answer to this problem? Abby had $6.00 to spend on a treat with his 3 friends. If he spends the same amount on his 3 friends, what is his maximum amount of money he can spend on each person?
Answer:
$2.00
Step-by-step explanation:
Abby had $6.00 to spend on a treat with his 3 friends.
We are told in the question that: If he spends the same amount on his 3 friends
Hence: the maximum amount of money he can spend on each person is calculated as:
$6.00/3 friends
= $2.00
Therefore, the maximum amount of money that he can spend on each friend is $2.00
What is the intermediate step in the form (x + a)2 = b as a result of completing the
square for the following equation?
x2 + 34 = 10x
Answer:
So the intermediate step in question is (x - 10)² = 66
Step-by-step explanation:
Let's find out:
x² + 34 = 10x
x² - 10x = -34
x² - 20x + 100 = 66
(x - 10)² = 66
x - 10 = ± √66
x = 10 ± √66
x ≈ 18.12, 1.88
Answer:
(x-5)^2=
(x−5)
2
=
\,\,-9
−9
Step-by-step explanation:
.
When 0 is the divisor or the denominator, the quotient will be?
Answer: formula, dividend=divisor×quotient+rem.
Step-by-step explanation: What is the quotient of a number divided by 0 ? if we divide a number by 0 , quotient will be zero and remainder will be the number itself. by formula, dividend=divisor×quotient+rem.
Help ASAP Please I’ll give Brainly award
Answer:
176
Step-by-step explanation:
trust
Guests at an amusement park must be at least 54 inches tall to be able to ride the roller coaster. Which graph represents the set of heights that satisfy this requirement?
A number line going from 50 to 58. An open circle is at 53. Everything to the right of the circle is shaded.
A number line going from 50 to 58. An open circle is at 54. Everything to the right of the circle is shaded.
A number line going from 50 to 58. A closed circle is at 54. Everything to the right of the circle is shaded.
A number line going from 50 to 58. A closed circle is at 55. Everything to the right of the circle is shaded.
Given:
Guests at an amusement park must be at least 54 inches tall to be able to ride the roller coaster.
To find:
The graph that represents the set of heights that satisfy this requirement.
Solution:
Let x be the height required for the ride.
Guests must be at least 54 inches tall to be able to ride the roller coaster. It means required height is greater than or equal to 54.
[tex]x\geq 54[/tex]
So, 54 and all values above 54 are in the solution set.
Since, 54 is included in the solution set, therefore there is a closed circle at 54. All values above 54 are in the solution set, so everything to the right of the circle is shaded.
Therefore, the correct option is C.
Answer:
c
Step-by-step explanation:
You buy a Bicycle for $125. A 6% sales tax is added. Write and solve an equation(s) to find find the total price.
I have been stuck on this question please help
Answer:
3⁷Step-by-step explanation:
(3⁴)⁻² * (3⁵)³ =3⁴⁽⁻²⁾*3⁵⁽³⁾ =3⁻⁸*3¹⁵ =3⁻⁸⁺¹⁵ =3⁷Correct option is B. 3⁷
PLEASE PLEASE HELP HELP DUE IN 5 MINS
On a map, a clothing store is located at (-2, -3). A seafood restaurant is located 6 units to the right of the clothing store. What are the coordinates of the restaurant?
No Answer
Step-by-step explanation:
There is no image so theres no way to help,
If you are going to ask this again make sure to put an image to get a better understanding, im sorry
Verified by FaZe DoDo
Look at the following numbers:
-7, 0, 7, 14
Which pair of numbers has a sum of 0?
Group of answer choices
0, 7
-7, 7
7, 14
-7, 14
Answer:
The correct answer is: -7, 7
Step-by-step explanation:
Given numbers are:
-7, 0, 7, 14
We have to check all pairs of numbers with respect to sum to check that which pair of numbers sums up to zero. So first of all, we will take -7 and will find its sum with other numbers.
So,
[tex]-7+0 = -7\\-7+7=0\\-7+14 = 7[/tex]
We can see that the sum of -7 and 7 is zero.
Hence,
The correct answer is: -7, 7
Your answer is B.) -7, 7
The figure below is a net for the box to the right. What is the surface area of the box? T 1.5 feet 1.5 feet lid + + 2 feet 2 feet 1.5 feet bottom 1.5 feet T 1.5 feet 1 2 feet 4 feet 2 feet 2 feet 4 feet 34 square feet 12 square feet 33 square feet 24 square feet Done
Answer:24 feet
Step-by-step explanation:I used it and it seem like I got it correct
How would u solve this??
Answer:
n=1, m=3, and p=-4
Step-by-step explanation:
Take the fourth root of both sides
so x^n*y^m*z^p=x*y^3*z^-4;
notice z has a negative exponent because it was in the denominator
therefore, n=1, m=3, and p=-4
Please need help on this
Y=−10x−6.8
−50x−10.5y=60.4
i need to find the substitution please help
Answer:
Y = -6.1
X = .071
Step-by-step explanation:
Two students that are on the same longitudinal line are approximately 5400 miles apart. The used an inclinometer,
a little geometry, and a tangent line to determine the that mABM = 86.17º and
mBAM =92.54º. The two students form a central angle of 85.9° with the center of the
earth Given this information determine how far each student is away from the from the moon? (i just need help finding the radius!!!!)
Answer:
3963 miles
Step-by-step explanation:
Please help making brainliest if correct
Answer:
C
Step-by-step explanation:
two side and one angle are the same.
Help me pleasee. Solve the system by substitution
Answer:
(3, - 2 )
Step-by-step explanation:
Given the 2 equations
4x - 2y = 16 → (1)
y = - 5x + 13 → (2)
Substitute y = - 5x + 13 into (1)
4x - 2(- 5x + 13) = 16 ← distribute and simplify left side
4x + 10x - 26 = 16
14x - 26 = 16 ( add 26 to both sides )
14x = 42 ( divide both sides by 14 )
x = 3
Substitute x = 3 into (2) for corresponding value of y
y = - 5(3) + 13 = - 15 + 13 = - 2
solution is (3, - 2 )
Determine the value of x.
4x + 20% 2x + 60%
(A) X= 10°
(B) x = 20°
(C) X= 30°
(D) x = 40°
Slope is -6 and (1,9) is on the line.
The equation of the line in point slope form is:
Answer:
y-9=-6(x-1)
Step-by-step explanation:
Answer:
these is the answer ;)
If 6x − 8 = 26 , what is the value of 3x − 4 ?
Answer:
I'm pretty sure it's 32.
Step-by-step explanation:
8+6=14
26-14=12
x=12
If x is equivalent to 12 then your new equation is 3*12-4 which equals 32.
Which is the best sale?
Select the best answer from the choices provided.
a.) 10% off $100.00
b.) $89.00
c.) 15% off $99.00
d.) 8% off $95.00
Rita is saving money to buy a game. So far she has saved ,30$ which is three-fifths of the total cost of the game. How much does the game cost?
Answer:
The total cost of the game is $50
Step-by-step explanation:
I'm so sorry, for some reason I can't figure out how to explain this. This is my best attempt (again sorry)
1/5th = $10
2/5th = $20
3/5th = $30
4/5th = $40
5/5th = $50
what is the area of the triangle shown below?
Answer:
68
Step-by-step explanation:
The formula for finding the are of a right triangle is
A= 1/2bh
( area = base times height divided by 2)
17 is the base and 8 is the height, 8*17=136
136÷2=68
How many square metres of carpet will be required to cover a square room of side 6.5 m ?
Answer:
42.25m²
Step-by-step explanation:
6.5² = 6.5 × 6.5
6.5 × 6.5 = 42.25
Tony bought a pair of jeans for $168, a shirt for $35, and two packages of socks for $15 each. What will Tony's total be, including a tax of 8%?
Answer:
251.64
Explanation:
168 + 35 + 30 = 233.
Where did i get that random thirty from? Two packages of socks that both cost 15 would just be 15 x 2 which equals 30. Simple.
There's a sale of 25% off of a $45 pair of sunglasses how much is the discount ? What is the sale price ?
Answer: 180
Step-by-step explanation:
Are the ratios 5:3 and 6:4 equivalent?
yes
no
Answer:
nope
Step-by-step explanation:
The given ratios 5:3 and 6:4 are not equivalent.
What are Equivalent ratios?Equivalent ratios are the ratios that are the same when we compare them. Example 1/2 and 2/4 are equivalent ratios.
Two or more ratios can be compared with each other to check whether they are equivalent or not.
The given two ratios are 5:3 and 6:4
We can write them as 5/3 and 6/4
Let us apply subtraction, if we get 0 then these are equivalent.
6/4-5/3
The LCM of 4 and 3 is 12
=(18-20)/12
The value of 18-20 is -2
=-2/12
We have to divide 2 by 12 we get -1/6.
=-1/6 not equal to 0
The ratios 5:3 and 6:4 are not equivalent.
To learn more on equivalent ratios click:
https://brainly.com/question/13513438
#SPJ2
help please :) i'll mark brainliest!
Answer:
Everything except the 3rd one!
Step-by-step explanation:
Which figure represents a reflection of figure 3?
can someone please help!!
Answer:
figure one:)
Step-by-step explanation:
Answer:
Step-by-step explanation:
5