If F(x) = x-7 and G(x) = x³, what is G(F(x))?
Answer: [tex]G(F(x)) = x^3-21x^2+147x-343\\\\[/tex]
===================================================
Work Shown:
[tex]G(x) = x^3\\\\G(F(x)) = \left(F(x)\right)^3\\\\G(F(x)) = \left(x-7\right)^3\\\\G(F(x)) = \left(x-7\right)\left(x-7\right)^2\\\\G(F(x)) = \left(x-7\right)\left(x^2-14x+49\right)\\\\G(F(x)) = x\left(x^2-14x+49\right)-7\left(x^2-14x+49\right)\\\\G(F(x)) = x^3-14x^2+49x-7x^2+98x-343\\\\G(F(x)) = x^3-21x^2+147x-343\\\\[/tex]
How do I check my answer?!?? 6.78J-5.2=4.33J+2.15. J=3
Please answer !
I need helpppp with 1-9
Answer this Question I’ll BrainElist and PLEASE HELP ME DUE NOW PLEASE
Step-by-step explanation:
I I think you have your answer now
Find the circumference of the circle in terms of .
58 in.
a.1161 in.
b. 587 in.
c.232 in.
d. 33647 in.
Answer:
116π
Step-by-step explanation:
Circumference = 2πr
Circumference = 2(58)π
Circumference = 116π
-Chetan K
6. The police department of a major city has found that the average height of
their 1,250 officers is 71 inches, with a standard deviation of 2.3 inches. Using
the normal curve table, answer the following:
a. How many officers are at least 75 inches tall?
b. How many officers are between 65 and 72 inches tall?
c. If an officer is at the 35th percentile in terms of height, how tall is she or he?
d. Assuming an equal amount of service, the top 10% of the police officers in
terms of height also make higher salaries than their less favored fellow of-
ficers. How tall does an officer have to be to get a better salary?
e. What is the probability of encountering an officer who is 66 inches tall or
less?
f. What heights are so deviant that their probability of occurrence is .05 or
less?
Answer:
c
Step-by-step explanation:
how mouch does it cost in total(include 13%tax) to reaseal the parking lot if each 19l pail of sealantt costs 19.29
Answer:
9.50
Step-by-step explanation:
needs to be 20 character
I Jose' Altuve is currently hitting 2 home runs for each 25 times at bat. If he continues at this rate, how many home runs will he hit in a season in which he bats 550 times?
Answer:
44 home runs
Step-by-step explanation:
550 ÷ 25
= 22
22 x 2
= 44
Find the area of the figure. All intersecting sides meet at right angles. a. 1,440 m2 c. 76 m2 b. 106 m2 d. 46 m2
that all i know hope it helped to your modules
Find the perimeter. Simplify your answer.
Answer:
6z-30 :D
Step-by-step explanation:
The perimeter of a square is just all the sides added up together. To do this we can make an equation.
2(z-5) + 2(2z - 10)
This represents two sides with different lengths two times. To solve, you first use the distributive property to multiply z-5 by 2.
2z - 10 + 2(2z - 10)
We then use the distributive property by multiplying 2z - 10 by 2.
2z − 10 + 4z − 20
We then combine 2z and 4z to get 6z.
6z − 10 − 20
Subtract 20 from 10 to get -30.
6z-30.
Answer:
6z - 30Step-by-step explanation:
Perimeter = z - 5 + z - 5 + 2z - 10 + 2z - 10
= 6z - 30...ans
Hope it Helps you!!7.
Rewrite the expression (4x² + 5x) ²-5(4x ² + 5x) – 6 as a product of four linear factors.
Answer:
(x+2)(x+1)(4x+1)(4x-3)
Step-by-step explanation:
(4x² + 5x)² - 5(4x² +5x) - 6
= (4x² + 5x)² - 6(4x² +5x) + 1(4x² +5x) -6
= (4x² + 5x)(4x² +5x -6) +1 (4x² +5x -6)
= (4x²+5x-6)(4x²+5x+1)
= (4x² + 8x - 3x - 6)(4x² + 4x + x +1)
= (4x(x + 2) - 3(x + 2))(4x(x+1) +1(x+1))
= (x+2)(4x-3)(x+1)(4x+1)
Emilio's family is going on vacation. His mom and sister leave at
7:00 in the morning, driving an average of 45 miles per hour.
Emilio and his dad leave at 8:00. His dad drives an average of
60 miles per hour.
Will Emilio and his dad catch up to his mom and sister?
Answer:
3 hours
Step-by-step explanation:
This is an LCM of least common multiple problem. The GCF of 60 and 45 is 15 and 45/3=3. So the LCm of these 2 numbers are 60x3=180 minutes or 3 hours
Answer:
3 hours is the answer
Step-by-step explanation:
answer
Lilly made 32 of her 40 serve attempts over the net. What percent of her serves made it over the net?
A helicopter floats 120m above a helipad, a dog is 85m from the helipad, if the dog could fly, how far would it have to fly to get to helicopter?
If the dog could fly, it would need to fly 147 meters to catch the helicopter
This is a rather easy and straightforward question. We are going to solve it using Pythagoras theorem. We can interpret the question to be in a triangle where the height of the helicopter above the helipad and away from the dog is the right angle. This also means that the distance needed, between the dog and the helicopter is the hypotenuse.
Using pythagoras theorem, we have
120² + 85² = c²
c² = 14400 + 7225
c² = 21625
c = [tex]\sqrt{21625}[/tex]
c = ±147 meters.
Since distance cant be in the negative, our answer is 147 m
read more about pythagoras theorem here https://brainly.com/question/15138986
Please help
2x−9≥17
Ancwers:
x≤3
x≤13
x≥3
x≥13
Which expression gives the distance between the points (4,6) and my (7,-3)?
Find the 75th term of the following arithmetic sequence.
2, 8, 14, 20,
..
Answer:
The 75th term is 446
Step-by-step explanation:
Using the explict formula you get an=6n-4
you plug in 75 for n which means 75 x 6 =450 and the subtract four which gets you 446
Answer:
446 is the 75th term
Step-by-step explanation:
This sequence increases by 6
2 8 14 20 26 32 38 44 50 56 62 68 74 80 86 92 98 104 110 116 122 128 134 140 146 152 158 164 170 176 182 188 194 200 206 212 218 224 230 236 242 248 254 260 266 272 278 284 290 296 302 308 314 320 326 332 338 344 350 356 362 368 374 380 386 392 398 404 410 416 422 428 434 440 446
Two boats leave the same port at the same time. One travels at a speed of 28 mi/h in the direction N 50° E, and the other travels at a speed of 26 mi/h in a direction S 70° E (see the figure). How far apart are the two boats after 1 h? (Round your answer to the nearest mile.)
Answer:
27 miles
Step-by-step explanation:
The law of cosines can be used to find the distance between the boats. In 1 hour, one has traveled 28 miles, and the other has traveled 26 miles. The angle between their directions of travel is ...
180° -50° -70° = 60°
Then the distance c can be found from ...
c^2 = a^2 +b^2 -2ab·cos(C)
c^2 = 28^2 +26^2 -2·28·26·cos(60°) = 732
c = √732 ≈ 27.055
The boats are 27 miles apart after 1 hour.
PLEASE HELPPP‼️‼️‼️‼️I WILL MARK BRAINLYEST ‼️‼️SOMEONE PLEASE ANSWER ‼️‼️
What is the length of DE?
A. 2.24
B. 2.66
C. 5
D. 1.73
Answer:
B
Step by Step Explanation:
D = (1, 1)
E = (2, 3)
Take out C immediately, as the distance is 100% not more than 3 units.
I'm going to go with the premise that wherever the letters' points on the graphs are where the letters are located.
Take out D as well because the distance is around 2 - 2.66 units, and not under (Look at what I said previously).
Now if we get a ruler and rotate it exactly to the line from D to E, we will get the answer B (This is due to angles).
Hope this answered your question or at least helped, in which case you're welcome. :D
it would be 2.24 !!!
Evaluate the expression when m=8 and n=9.
4n+m
Answer:
44
Step-by-step explanation:
4(9) + 8
=36 + 8
=44
Both A and R are true, R is the correct explanation for A
Both A and R are true, R is not the correct explanation for A
A is true, R is false
A is false, R is true
I would say it's "A is false, R is true"
Look at it this way, (R is talking): A is false, this is obviously true.
It wouldn't really work the other way.
How many 1 1/2 cup servings are there in 12 cups of juice?
Answer:
8, 1 1/2 cup servings in 12 cups of juice.
Step-by-step explanation:
I just divided 12 by 1.5
i don’t know what’s going on here, can someone help me?
Answer:
[tex](\frac{a}2;\frac{a}2)[/tex]
Step-by-step explanation:
You simply need to apply the formula for the midpoint of a segment - which is provided.
[tex]M(\frac{0+a}2; \frac{0+a}2) \rightarrow M(\frac{a}2;\frac{a}2)[/tex]
How to divide with decimals and fractions.
Answer:
Dividing Decimals
Step 1: Estimate the answer by rounding .
Step 2: If the divisor is not a whole number, then move the decimal place n places to the right to make it a whole number.
Step 3: Divide as usual.
Step 4: Put the decimal point in the quotient directly above where the decimal point now is in the dividend.
Step-by-step explanation:
Step 1. Turn the second fraction (the one you want to divide by) upside down
(this is now a reciprocal).
Step 2. Multiply the first fraction by that reciprocal
Step 3. Simplify the fraction (if needed)
PLEASE HELP ME!!! philip would be able to buy 15 apples if he had $2.10 more money than he has now. if he buys 12 apples, how would have $3.30 left of the money he has now. how much does one apple cost?
One apple cost $1.8 while the money that Philip has is $24.90
Let x represent the cost of each apple and y represent the money he has presently.
He can buy 15 apples if he had $2.10 more money than he has now, hence:
15x = y + 2.1
15x - y = 2.1 (1)
Also, if he buys 12 apples, how would have $3.30 left of the money he has now. Hence:
12x + 3.3 = y
12x - y = -3.3 (2)
Solving equations 1 and 2 gives:
x = 1.8, y = 24.9
Hence one apple cost $1.8 while the money that Philip has is $24.90
Find out more at: https://brainly.com/question/16763389
Can someone help me with this question, please explain your answer. :D
Answer:
21/8 yards
Step-by-step explanation:
If Sarah wants to make her own costume she will need 21/8 yards of yarn.
To get this, you multiply 2 by 8 and get 16.
Next, you will add 5 onto 16 and get 21.
Keep your 21 and put is as your numerator.
Now take your 8 and put it as your denominator.
What is the simplest form of 4 sqrt 81 x^8y^5.
Help now please now 50 points and brainliest
Answer:
F=(9C+160)/5
Step-by-step explanation:
C=5(F-32)/9
Simplify to 5F-160/9=c
multiply by 9 on both sides : 5F-160=9C
add 160 to both sides: 5F=9C+160
Divide by 5 on both sides: F=(9C+160)/5
Simplify: F=9/5c+32
Answer:
[tex]F=\frac{9C}{5}+32[/tex]
Step-by-step explanation:
The subject of the formula is the variable that's being worked out. Originally this was C. They want us to make F the subject of the formula.
[tex]c=\frac{5(F-32)}{9}[/tex]
To do this we first need to distribute 5.
[tex]C=\frac{5F-160}{9}[/tex]
Divide 5F-160 by 9.
[tex]C=\frac{5}{9}f-\frac{160}{9}[/tex]
We can then swap sides to make it easier.
[tex]\frac{5}{9}f-\frac{160}{9}=C[/tex]
We then add [tex]\frac{160}{9}[/tex] to each side.
[tex]\frac{5}{9}f=c+\frac{160}{9}[/tex]
We can then find F by multiplying by 9/5 or dividing by 5/9.
[tex]F=\frac{9}{5}(C+160/9)[/tex]
We then can simplify by multiplying.
[tex]F=\frac{9C}{5}+32[/tex]
:D
How do you solve
5x2 - 13x = 6
Using the ax2 +bx + c = 0 equation
I personally like the square method but I am lazy to draw this out (take too long)
5x²-13x-6 = (5x+2)(x-3)
x = -2/5 or 3
Double-check:
5x²-15x+2x-6 = 5x²-13x-6 √
Anneyonghaseyo,
plss can anyone solve this it's urgent (+_+)
15 points
Anneyonghaseyo!!
Radius = 10.5 m
Diameter = 10.5 × 2 = 21 m
Circumference = πd
= 22/7 × 21
= 66 m.
Cost of fencing 1 metre = ₹ 4
Cost of fencing 2 rounds = ?
2 rounds = 2 × circumference
= 2 × 66
= 132 m
Cost of fencing 2 rounds = 132 × 4
= ₹ 528.
________
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