Answer:
a) f(10) = 18
b) g-¹(x) = 5x-5
c) 3((3(x-4))
= 3((3x-12)-4))
= 3(3x-16)
= 9x-48
The value of f(10) = 18, g'(x) = 1/5 and ff(x) = 9x - 48
What is function?A function is defined as a relation between a set of inputs having one output each. In simple words, a function is a relationship between inputs where each input is related to exactly one output.
Given that, The functions f and g are such that f(x) = 3(x – 4) and
g(x) = x/5+1
a) f(10) = 3(10-4)
= 3(6)
= 18
b) g'(x) = d/dx(x/5+1)
= 1/5d/dx(x) = 1/5
c) ff(x) =
= 3((3(x-4))
= 3((3x-12)-4))
= 3(3x-16)
= 9x-48
Hence, The value of f(10) = 18, g'(x) = 1/5 and ff(x) = 9x - 48
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How many 0.8 liter glasses can be filled by a 6.8 liter pitcher?
Answer:
8.5 glasses
Step-by-step explanation:
6.8L / 0.8L = 8.5 glasses
Answer:
8 glasses
Step-by-step explanation:
You divide [tex]6.8/0.8[/tex]
This gives you 8.5 glasses
since 9 glasses is too much, at 7.2 liters. The maximum glasses possible is 8 assuming you're not filling a half of the glass which would be 8.5 glasses.
what is the cheapest way to buy 48 cans of cola
Answer:
both the first one
Step-by-step explanation:
use unit rate
prime factorisation of 27,45 and 54
Answer:
27= [tex]3\sqrt{3}[/tex] (3 x 3 x 3)
45= [tex]3\sqrt{5}[/tex] (3 x 3 x 5)
54= [tex]3\sqrt{6}[/tex] (3 x 3 x 3 x 2)
Step-by-step explanation:
Answer:
We found the factors and prime factorization of 27 and 45. The biggest common factor number is the GCF number. So the greatest common factor 27 and 45 is 9.
what is the degree of the function f(x)=x⁴-5x+8+x²?
First put it in decreasing power according to x.
x^4-5x+8+x^2
=x^4+x^2-5x+8
Now this question is asking what is the highest degree of x you see in this function.
4 of course.
Therefore the answer to his question is degree of 4.
Done!
Generate equivalent expressions for: y+y+y+3+4
Answer:
Step-by-step explanation:
Combine like terms. ie, add the coefficient of like terms
y + y + y + 3 + 4 = 3y + 7
Answer:
Combine like terms.
First, the variables:
y+y+y=3y
Now the constants:
3+4=7
Answer: 3y+7
Step-by-step explanation:
A new car is purchased for 17600 dollars. The value of the car depreciates at 11.75%
per year. What will the value of the car be, to the nearest cent, after 11 years?
Answer:
The value of the car will be
4450.15
Step-by-step explanation:
we know that
11.75%=11.75/100=0.1175
so Let
x-----> the value of the car after 11 years
X=17600(1-0.1175)11=4450.15
Step-by-step explanation:
Which sentence states the author’s point of view of microloans?
A.They help people, not communities.
B.They can change people’s lives for the better.
C.They need to be changed in order to work correctly.
D.They should be paid back quickly to make a difference
Answer:
B
Step-by-step explanation:
It is right
For the following right triangle find the side length x
13
7
x
Work out the surface area of this cylinder radius 2cm and height 4cm pls help
Step-by-step explanation:
surface area of cylinder is
2×pi×r (h+r)
2×22/7×2 (4+2)
88/7 (4+2)
75.4 cm square
You would like to start your own business in Hempstead. You borrow
$10,000 form the bank at a 9% rate for 5 years. How much interest
will you pay on this loan?
Answer:
$ 4,500.00
Step-by-step explanation:
I = $ 4,500.00
Equation:
I = Prt
Calculation:
First, converting R percent to r a decimal
r = R/100 = 9%/100 = 0.09 per year,
then, solving our equation
I = 10000 × 0.09 × 5 = 4500
I = $ 4,500.00
The simple interest accumulated
on a principal of $ 10,000.00
at a rate of 9% per year
for 5 years is $ 4,500.00.
Find the surface area of this triangular prism. Be sure to include the correct unit in your answer.
Answer:
816 square feet
Step-by-step explanation:
13(16+20+12) + 16(12) = 816
Write an algebraic expression for the verbal expression
the quotient for 45 and r
Answer:
45/r
Step-by-step explanation:
You're just doing 45 divided by r.
Two rival dry cleaners both advertise their prices. Store A’s prices are modeled by the expression 20x - 7, where x is the number of items brought in. Store B’s prices are modeled by the expression 4(5x + 7), where x is the number of items brought in. When do the two stores charge the same rate?
Answer:
Step-by-step explanation:
Store A price is 20x-7
store B price is 4(5x+7)
Where x represents the number of items.
Now, observe that the coefficient of both expressions is 20, because 4(5x+7)=20x+7
Remember that the coefficient of the x-variable is always the constant rate of change. Also, the given expressions can be expressed as linear functions
y=20x-7
y=20x+28
Observe that both Stores have already the same rate, which is 20.
Therefore, they have the same rate at any number of items dry cleaned.
What they have different is their initial condition, -7 and +7 respectively, but the rate is the same..
Jasmine gets paid $150 each week and $55 for every laptop that she sells. Write and equation that represents her weekly income.
Answer:
If x represents the number of laptops sold and y represents the total weekly income, our equation would be y = 55x + 150
Answer:
Step-by-step explanation:
Every week, the given or set in stone amount of money she receives $150. So automatically, the first part of the equation is 150x, because x represents the number of weeks, and 150 is $150. So for instance, if she works for two weeks, she will earn $300. Anyway, she has an additional amount of money she gets, which is $55 for every laptop she sells. This isn't a set in stone amount of money. She might not always earn the extra $55, because she might not sell a laptop for a certain week. So, the final equation would be 150x+55. Hope this helped :)
There is a line that includes the point (9, 1) and has a slope of -8. What is its equation in
point-slope form?
Answer:
y - 1 = -8(x -9)
Step-by-step explanation:
Point-slope form is y - y1 = m(x - x1) given a point (x1, y1) on the line and slope m. Plug all the values in and this is the answer.
Loan: Ross borrows $5625 to buy a car. He pays back $125 each month. The equation y = 5625 - 125x represents that amount Ross owes y after x months.
A. Find the x and y-intercepts and interpret their meaning in the context of the situation.
The x-intercept is _____. This means that after ____ months, Ross will owe $____. The y-intercept is _____. This means that Ross initially owed $_____.
B. Graph the equation using the intercepts.
Answer:
Ross initially owed 5625. the y intercept is 0,3500. Part of the answer.
There are x and y-intercepts that would be 5625 and 45 respectively for the given equation.
What is the equation?The equation is defined as mathematical statements that have a minimum of two terms containing variables or numbers that are equal.
Ross borrows $5625 to buy a car. He pays back $125 each month which is given in the question.
The equation y = 5625 - 125x represents the amount Ross owes y after x months
⇒ y = 5625 - 125x
To determine the y-intercepts of the equation,
We have to substitute x = 0 in the equation
⇒ y = 5625 - 125(0)
⇒ y = 5625
To determine the x-intercepts of the equation,
We have to substitute y = 0 in the equation
⇒ 0 = 5625 - 125x
⇒ 125x = 5625
⇒ x = 45
Hence, there are x and y-intercepts that would be 5625 and 45 respectively for the given equation.
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9 is 25% of what number
The triangles are congruent by
1. AAS
2. ASA
3. SSS
Answer:
the triangles are congruent by ASA.
HELP I DON'T UNDERSTAND
Solve for the quotient 8498 / 70
Answer:
121.4 is the answer ❣️
Answer:
The answer I got is 121.4
(½ point for model; ½ point for correct simplified expression)
(8x + 2) + (-9x + 7)
Answer:
Simplified= −x+9
Step-by-step explanation:
Can someone explain me how to do this? No answers, just explanation how to solve. Click on the picture to see the question.
Answer:
800 cm
Step-by-step explanation:
x = height of lamp post
set up a proportion:
90/160 = 450/x
cross-multiply:
90x = 72000
x = 800
Answer:
Since you did not want the answer the things you need to solve this question are below.
Step-by-step explanation:
In order to solve this, you will need to read about the scale factor. Here is a picture telling about it briefly.
Tyrone ran the 100-meter race 3 times. His fastest time was 10.84 seconds. His slowest time was 13.52 seconds. If Tyrone's average time was 12.0 seconds, what was his time for the third race? *
Answer:
The third time = 11.64 seconds
Step-by-step explanation:
Let the average time be x
The average of a set of numbers is the sum of the numbers divided by the number of terms. In this case:
Average = (10.84 + 13.52 + x) ÷ 3 = 12.0
[tex]\frac{10.84\ + 13.52\ + x}{3}= 12.0\\\frac{24.36\ +\ x}{3} = 12.0\\cross-multiplying\\24.36\ +\ x = 3 \times 12.0\\24.36\ +\ x = 36\\x = 36 - 24.36\\x = 11.64\ seconds[/tex]
Someone please help me with this I’m on the verge of crying
Answer:
848.23
Step-by-step explanation:
hope this got you the right anwser
The temperature of a city is recorded at midnight on the last days of four consecutive months
as -11°C, 5°C, - 8 °C and 15°C. Find the difference between the maximum and the
minimum temperature.
Answer:
26 degrees Celcius
Step-by-step explanation:
The minimum temperature is -11
The maximum temperature is 15
to get from -11 to 0: add 11
to get from 0 to 15: add 15
11+15 = 26
*WILL GIVE BRAINLIEST*
Can someone please explain how I get the answer to this? I just need an explanation/answer, please.
An isosceles triangle has an angle that measures 132°. Which other angles could be in that isosceles triangle? Choose all that apply.
A: 132
B: 63
C: 24
D: 73
Answer:
option C
24
Step-by-step explanation:
if I m not wrong then this is the ans
hope it helps u
A mountain bike originally priced at $964.00 is up for sale at a discount of 11%. What is the price of the mountain bike after the discount?
Answer:
857.96
Step-by-step explanation:
964/100=9.64
9.64x11=106.04
964-106.04=857.96
Irina has 6 tubs yogurt. She wants to scoop it all into bowls. Each bowls holds 1/4 tub of yogurt. Which division equation can be used to find b, number of bowls she needs.
Answer:
6 divided by 1/4 = b
Step-by-step explanation:
Answer:
b = 6 ÷ 1/4
i did it before lol
this is easy (1 yard equals 3 feet) that is the hint
Answer:
12
Step-by-step explanation:
Pllssss helppppp thank u