Which of the following equations has a slope of -3 and a y-intercept of 8? *

Answer:

Our y-intercept is (0, -36).

Our real zeros are: (-2√3, 0) and (2√3, 0)

And our imaginary zeros are: (i√3, 0) and (-i√3, 0)

Step-by-step explanation:

We have the function:

[tex]y=x^4-9x^2-36[/tex]

Let's identify the y- and x-intercepts.

Y-Intercept:

To determine the y-intercept, we will substitute 0 for x and solve for y. So:

[tex]y=(0)^4-9(0)^2-36[/tex]

Evaluate:

[tex]y=-36[/tex]

Therefore, our y-intercept is at (0, -36).

X-Intercepts:

To determine our x-intercepts, we need to substitute 0 for y and solve for x. So:

[tex]0=x^4-9x^2-36[/tex]

Now, we can factor. Before doing so, we can make the factored easier to see by converting this into quadratic form. Let's let u=x². Then:

[tex]0=(u^2)^2-9(x^2)-36[/tex]

Substitute:

[tex]0=u^2-9u-36[/tex]

Now, let's factor. We can use -12 and 3. So:

[tex]0=u^2+3u-12u-36 \\ 0=(u(u+3)-12(u+3)) \\ 0=(u-12)(u+3)[/tex]

Now, we can substitute back u:

[tex]0=(x^2-12)(x^2+3)[/tex]

Zero Product Property:

[tex]x^2-12=0\text{ or } x^2+3=0[/tex]

Solve for x in each case:

[tex]x^2=12 \text{ or } x^2=-3[/tex]

Take the square root of both sides. Since we're taking an even root, we will need plus/minus. Therefore:

[tex]x=\pm\sqrt{12}=\pm2\sqrt{3}\text{ or } x=\pm\sqrt{-3}=\pm i\sqrt{3}[/tex]

Therefore, our zeros (both real and imaginary) are: (2√3, 0), (-2√3, 0), (i√3, 0), and (-i√3, 0)

Answer:

mhm

Step-by-step explanation:

Answer:

Bet

Step-by-step explanation:

The answer is

X = -10

Apologies though, I am not good at explaining.

Answer:

×=3

Step-by-step explanation:

6x-4 = x+11

6x-x = 11+4

5x = 15

x = 3

Answer:

The answer is c

Step-by-step explanation:

Answer: H0 : β1 = β2 = β3 = β4 = 0

Step-by-step explanation:

The null hypothesis refers to a hypotheses that simply states that no relationship exists between two phenomenons that are being tested.

In testing the validity of a multiple regression model in which there are four independent variables, the null hypothesis is H0 : β1 = β2 = β3 = β4 = 0.

Hey

[tex]\text{there}[/tex]

[tex](2.5 \times {10}^{6}) + (1.2 \times{10}^{3}) [/tex]

[tex] {10}^{6}=1000000[/tex]

[tex](2.5\times1000000) + (1.2\times{10}^{3})[/tex]

[tex] {10}^{3} = 1000[/tex]

[tex](2.5 \times 1000000) + (1.2 + 1000)[/tex]

[tex](2.5\times1000000) = 2,500,000[/tex]

[tex](2,500,000) + (1.2 \times 1000)[/tex]

[tex](1.2\times1000)=1,200[/tex]

[tex](2,500,000)+(1,200)=2,501,200[/tex]

[tex] \boxed{ \boxed{ \bf{Answer: \boxed{ \boxed{ \bf{2,501,200}}}}}} \checkmark[/tex]

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[tex] \dfrac{ \frak{LoveYourselfFirst}}{:)}[/tex]

No change in area if sides of rectangle are equal.

Hope this helps.

Answer:

h

Step-by-step explanation:

eteujj

Answer:

21

Step-by-step explanation

If 7 apples are 2.10 then for 4.20 its 14 apples.   And 3 apples is 90 cents.  1 apple is 0.30.  So the amount you can buy is 21 because 6.30/0.3 is 21

Answer:

21

Explanation:

If 7 apples cost y cents, how many can you buy for x dollars?

As y cents buy 7 apples, y dollars will buy 7×100 apples.

Hence one dollar will buy 7×100y=700y apples and,

x dollars will buy 700y × x apples or 700x y apples.

Hence 7 apples multiplied by $6.30 divided by $2.10 will get you 21 apples.

Have a beautiful day! v(⌒o⌒)v♪

Answer:

There is no problem. If you put the problem then i'll help

Step-by-step explanation:

Answer:4

Step-by-step explanation:

f(1)=6(1)+2

=8

g(f(1))=2(8)+4/5

=20/5

=4

Answer:

in the above equation 35 x 6 = 210, a teacher who looks closely at the work might.

Step-by-step explanation

i have a deep feeling inside of me!

Answer:

The answer is B

Step-by-step explanation:

Answer:

I would help but I can't see the picture... sorry good luck

Step-by-step explanation:

Answer:

PV= $813.09

Step-by-step explanation:

Giving the following information:

Future Value (FV)= $1,000

Number of periods (n)= 7 years

Interest rate (i)= 3% compounded annually

To calculate the present value (PV), we need to use the following formula:

PV= FV/(1+i)^n

PV= 1,000 / (1.03^7)

PV= $813.09

Answer:

★ 40 over 17 is roughly 2.35294, which can be rounded to the nearest hundredth as 2.35

Step-by-step explanation:

Hope you have a great day :)

Answer:

80 marbles

Step-by-step explanation:

8 times 2=16

40 times 2=80

Answer:

-5(-6x² + x + 2)

Step-by-step explanation:

-5(-6x² + x + 2)

= (-5)(-6x²) + (-5)(x) + (-5)(2)

= 30x²-5x-10

Answer:

they are equal

0.5kg is 500g

Answer:

12 miles per hour more

Step-by-step explanation:

Answer:

Kendra drives 8 hours more on average.

Step-by-step explanation:

We divide 144/3 to get Kayla's mile to hour.

That is 48 miles.

We divide 224/4 to get Kendra's mile to hour.

That is 56 miles.

56 - 48 = 8.

hope this helped!

Answer:

Many ways.

They can vote on it.

They can elect a council that will choose all the positions.

One person can just declare himself a position.

25% off of 35.25 would be $26.4375

Answer:

$352

Step-by-step explanation:

x = total money she had

spent 25% of x = 88

solve for x

x = 88/0.25

x = $352

Answer:

220

Step-by-step explanation:

Answer:

19 topings

t=(13.5-4)/.5

Step-by-step explanation:

13.5-4

=9.5

9.5/.5

=19

Answer:

the answer would be 80 because it is divisible with all the numbers shown above

The answer fam is.......... 22

Answer:

Annual deposit= $3,474.39

Explanation:

Giving the following information:

You want to have $60,000 in your savings account 12 years from now, and you’re prepared to make equal annual deposits into the account at the end of each year. The account pays 6.4 percent interest.

FV= {A*[(1+i)^n-1]}/i

A= annual deposit

Isolating A:

A= (FV*i)/{[(1+i)^n]-1}

A= (60,000*0.064)/[(1.064^12)-1]= $3,474.39

plz mark brainly