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Strike441 [17]
3 years ago
14

Evaluate the expression for x= 2 and y=4. Enter your answer in the box. 16x + 2x2 - y2​

Mathematics
1 answer:
Nostrana [21]3 years ago
8 0

Answer:

24

Step-by-step explanation:

Step 1: Define

x = 2

y = 4

16x + 2x² - y²

Step 2: Substitute and Evaluate

16(2) + 2(2)² - 4²

32 + 2(4) - 16

16 + 8

24

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Would like this problem broken down step by step thanks!
antiseptic1488 [7]

Answer:

m=12

Explanation:

Given any quadratic function, y=ax²+bx+c.

We can determine the nature of the roots of such quadratic function by examining the discriminant, D where:

D=b^2-4ac

• If D>0, the roots are real and unequal.

,

• If D=0, the roots are real and equal.

,

• If D<0, the roots are complex.

In our given equation:

\begin{gathered} y=18x^2+mx+2 \\ a=18,b=m,c=2 \end{gathered}

For the function to have exactly one zero, the value of D=0.

\begin{gathered} D=b^2-4ac=m^2-4(18)(2)=m^2-144 \\ D=0\implies m^2-144=0 \\ Add\text{ 144 to both sides.} \\ m^2=144 \\ Take\text{ the square root of both sides} \\ \sqrt{m^2}=\sqrt{144} \\ m=12 \end{gathered}

The value of m for which the function will have one zero is 12.

4 0
1 year ago
Lin runs 5 laps around a track in 8 minutes. If Lin runs 21 laps at the same rate, how long does it take her?
uranmaximum [27]

Answer: 25

Step-by-step explanation:

it would take her 25 min

4 0
3 years ago
F(x)=3x-2 what is the function for f(3)
Vlad1618 [11]
F(x) = 3x - 2
f(3) = 3(3) - 2
f(3) = 9 - 2
f(3) = 7
6 0
3 years ago
~ ! ANGLE MEASURE ! ~
Troyanec [42]

Answer:

1 and5

Step-by-step explanation:

.......?...........

6 0
3 years ago
Find the remainder when f(x) = 5x3 + 7x + 5 is divided by x + 2.
serg [7]

Answer:

Option a) is correct  that is -49.

Step-by-step explanation:

We have been given  the  two functions in which one of them is dividend and the other one is divisor

f(x)=5x^3+7x+5  when divided by x+2

You can see the long division to find the remainder in the attachment.  

First step we do is to choose the quotient so as to cancel the first term

And proceed till you get the degree of divisor less than dividend.

Hence, the remainder we will get is -49

Therefore, option a) is correct.

3 0
3 years ago
Read 2 more answers
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