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DerKrebs [107]
3 years ago
5

If f(x) = −-4x^{2} + 15, then f(−3) =

Mathematics
2 answers:
Naddik [55]3 years ago
6 0

Answer:

\Huge \boxed{-21}

Step-by-step explanation:

f(x) = -4x^{2} + 15

<em>f(-3)</em>, the input is -3 for the function <em>f(x)</em>.

The value of<em> x</em>  =  -3

f(-3) = -4(-3)^{2} + 15

Evaluate the expression.

f(-3) = -4(9)+ 15

f(-3) = -36+ 15

f(-3)=-21

The value of<em> f(-3) </em>is -21.

MariettaO [177]3 years ago
5 0

Answer:

f(-3) = -21

Step-by-step explanation:

To find f(-3), we just need to plug x = -3 into f(x) so:

f(-3) = -4 * (-3)² + 15

= -4 * 9 + 15 = -36 + 15 = -21

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In the figure, Δ ABC Δ XYZ. What is the perimeter of ΔABC? Show your work.
slava [35]

Answer:

49

Step-by-step explanation:

∆ABC~ ∆XYZ

AB= 11 that is half of XY = 22

therefore XZ/2 = AC (base) = 32/2 = 16

and YZ /2 = BC(hypotenuse) = 44/2 = 22

(a= 11, b= 16, c= 22)

perimeter of a triangle

P = a+b+c

P= 11+16+22= 49

8 0
3 years ago
Find the measure of a 6.<br> 102<br> 78<br> 46 = [?]
Rom4ik [11]

Answer:

102°

Step-by-step explanation:

They're still corresponding angles... have you read any of these explanations?...

6 0
3 years ago
What is the greatest common factor of 56a^3-8a
dybincka [34]

Answer:

8a

Step-by-step explanation:

56a^3-8a\\8a(7a^2-1)\\8a

7 0
3 years ago
Caroline has some dimes and some quarters. She has a maximum of 15 coins worth at least $2.85 combined. If Caroline has 3 dimes,
gayaneshka [121]

Answer:

11, 12.

Step-by-step explanation:

Let q represent number of quarters.

We have been given that Caroline has a maximum of 15 coins worth at least $2.85 combined. We are also told that Caroline has 3 dimes. This means that total coins are less than or equal to 15.

We can represent this information in an inequality as:

q+3\leq 15...(1)

We are also told that the coins worth at least $2.85 combined. This means that the worth of all coins is greater than or equal to 2.85.

We know that each dime is worth $0.10 and each quarter is worth $0.25.

0.25q+3(0.10)\geq 2.85...(2)

Now, let us solve our system of inequalities.

From 1st inequality, we will get:

q+3-3\leq 15-3

q\leq 12

From 2nd inequality, we will get:

0.25q+0.30\geq 2.85

0.25q+0.30-0.30\geq 2.85-0.30

0.25q\geq 2.55

\frac{0.25q}{0.25}\geq \frac{2.55}{0.25}

q\geq 10.2

Upon combining our both inequalities, we will get:

10.2\leq q\leq 12

This means that numbers of quarters would be greater than or equal to 10.2 and less than or equal to 12.

Since we cannot have 0.2 of a coin, therefore, Caroline could have 11 or 12 quarters.

6 0
3 years ago
6) What is the mean (average) of this set of data: 3 4 6 7 10 15 19 21
Natali5045456 [20]

Answer:

10.62

Step-by-step explanation:

Mean can be described as the average of a sum of numbers, it can be calculated by sum ing all the numbers together and then diving by the total

The mean of the set of numbers shown in the question above can be calculated as follows

3+4+6+7+10+15+19+21/8

= 85/8

= 10.62

Hence the mean is 10.62

6 0
3 years ago
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