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3 years ago

Two integers that vary in sign

Mathematics

2 answers:

adoni [48]3 years ago

5 0

-9 and positive 20 would be an appropriate answer

EastWind [94]3 years ago

3 0

The two integers would be -6 and 6, because they have different signs.

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Penelope determined the solutions of the quadratic function by completing the square. F(x) = 4x2 8x 1 –1 = 4x2 8x –1 = 4(x2 2x)

Ymorist [56]

By solving the quadratic equation using completing the square method we got that Penelope should have added 4 to both sides instead of adding 1.

<h3>What is quadratic equation ?</h3>

Any equation of the form $ax^2+bx+c=0$ where x is variable and a, b, and c are any real numbers where a ≠ 0 is called quadratic equation .

Given work of Penelope is

$\begin{aligned}&f(x)=4 x^{2}+8 x+1 \\&-1=4 x^{2}+8 x \\&-1=4\left(x^{2}+2 x\right) \\&-1+1=4\left(x^{2}+2 x+1\right) \\&0=4(x+2)^{2} \\&0=(x+2)^{2} \\&0=x+2 \\&-2=x\end{aligned}$

Now we can see that Penelope determined the solutions of the quadratic function by completing the square. so he must have been done as following

$\begin{aligned}&f(x)=4 x^{2}+8 x+1 \\&-1=4 x^{2}+8 x \\&-1=4\left(x^{2}+2 x\right) \\&-1+4=4\left(x^{2}+2 x+1\right) \\&3=4(x+2)^{2} \\&\frac{3}{4} =x+2)^{2} \\&\frac{\pm\sqrt3}{2} =x+2 \\&\frac{-2\pm\sqrt3}{2} =x\end{aligned}$

By solving the quadratic equation using completing the square method we got that Penelope should have added 4 to both sides instead of adding 1.

To learn more about quadratic equations visit : brainly.com/question/1214333

8 0

2 years ago

A rectangular dog park was built with the dimensions shown. The fencing that completely surrounds the park cost $12 a yard. Each

leonid [27]

Answer:

sod- 1662.6

fencing- 807.6

all- 2470.2

Step-by-step explanation:

sod-

25.5 * 8.25 = 207.825

207.825*8= 1662.6

fencing-

8.25+8.25+25.5+25.5= 67.3

67.3*12= 807.6

fencing + sod

1662.6 + 807.6= 2470.2

7 0

2 years ago

Use substitution to solve the system equation.<br><br><br> n=3m-11<br><br> 2m+3n=0

prohojiy [21]

Answer:

m = 3, n = -2.

Step-by-step explanation:

Substitute n = 3m - 11 in the second equation:

2m + 3(3m - 11) = 0

2m + 9m - 33 = 0

11m = 33

m = 3.

Substitute for m in n = 3m-11:

n = 3(3) - 11

n = -2.

6 0

3 years ago

Y=16 when x=4 , determine y when x=8

Serga [27]

Y= 32 if x= 8, 2 times 16 is 32

4 0

3 years ago

Read 2 more answers

Debit cards and credit cards are used in various ways. Determine how the two cards are alike or different. Use the 10 statement

elixir [45]

Answer:

Credit cards- 1,4,5,8

Debit cards- 2,9,6

Both- 3,10,7

I think its right but i'm not sure

3 0

3 years ago