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ELEN [110]
4 years ago
6

If f(x)=-3x+4 and g(x)=x2, what is (g°f)(0)

Mathematics
2 answers:
Rus_ich [418]4 years ago
6 0

Answer:

16

Step-by-step explanation:

Eva8 [605]4 years ago
6 0

Answer:

(g\circ f)(0)=16

Step-by-step explanation:

The given functions are

f(x)=-3x+4 and g(x)=x^2

We first find the composition; (g\circ f)(x)

(g\circ f)(x)=g(f(x))

(g\circ f)(x)=g(-3x+4)

(g\circ f)(x)=(-3x+4)^2

We now plug in x=0, to obtain;

(g\circ f)(0)=(-3(0)+4)^2

(g\circ f)(0)=(4)^2

(g\circ f)(0)=16

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Which number should.be added to the data so that the range of the data is 31? 54,72,64,57
Sergio039 [100]

Answer:  41 or 85

<u>Step-by-step explanation:</u>

Range is the difference between the largest number and the smallest number.

The largest number is 72.  72 - 31 = 41

The smallest number is 54.  54 + 31 = 85

Adding either ONE of those numbers will result in a range of 31.

3 0
3 years ago
Choose the equation below that represents the line passing through the point (1, −4) with a slope of one half . (1 point)
bixtya [17]
3rd one
Reason: 
Point slope formula: y-y1=m(x-x1) 
y1=-4
x1=1
m=1/2
Put it all together and you get a final answer of:
y-(-4)=1/2(x-1)
two negatives make one positive
so, 
final answer:y+4=1/2(x-1)
6 0
3 years ago
Write a verbal expression for each algebraic expression.
adelina 88 [10]

Answer:

Step-by-step explanation:

5 0
3 years ago
Taylor buys nail polish from a shop that cost $3.95 each. She has a maximum of $30 to spend on nail polish purchases. The total
kati45 [8]

Answer:

C_t=3.95x,\ 0\leq x\leq 7

Step-by-step explanation:

<u>Modeling With Functions</u>

It's a common practice to try to mathematically represent the relation between two or more variables. It allows us to better understand the behavior of the phenomena being observed and, more importantly, to be able to predict future values.

The specific situation stated in the question relates how Taylor buys nail polish for $3.95 each, with a maximum of $30 to spend. If x is the number of nail polish purchased, then the total cost will be

C_t=3.95x

But we know Taylor has a limited budget of $30, so the total cost cannot exceed that amount

3.95x\leq 30

Solving the inequality for x

x\leq 30/3.95

x\leq 7.6

We round down to

x\leq 7

Of course, the lower limit of x is 0, because Taylor cannot purchase negative quantities of nail polish

Our model is now complete if the state the limits of x, or its domain

\boxed{C_t=3.95x,\ 0\leq x\leq 7}

3 0
3 years ago
A. Jenna wants to buy a new tablet computer. Top Quality, an electronics store, is selling them at a 15% discount off the list p
marissa [1.9K]

Answer:

Step-by-step explanation:

Part A

Cost = T - (15/100) * T

Cost = (85/100)*T

Part B

You are asked to take 15% off the cost of something. The first equation is very clear how to do that -- just take 15% of T away from T

The second part is not so obvious if you are not familiar with it, but the result will be the same.

Start with the first equation

Cost = T - (15/100) T  Change 1 T to 100 / 100

Cost = 100*T/100T - 15/100T

Cost = 85 /100 * T

Part C

Cost = Phone - 14            at Top quality.     Red in Graph below

Cost = 75/100 * Phone    at Big value.        Blue in Graph belos

The graph below is a good way to answer this. I won't solve it algebraically when the graph will give you a much better idea which phone to get.

Answer: Up to a phone cost of 55 dollars, the red phone is the better buy.

After 55$ the blue phone is better.

Try this with a couple of values for phone,

4 0
3 years ago
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