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2 years ago

11

Sara drove for 8.5 hours at 49.7mph. Find the distance she traveled. ANSWER FAST PLEASE.

1 answer:

evablogger [386]2 years ago

4 0

Answer:

Step-by-step explanation:

D = st

D = (8.5)(49.7)

D = 422.45

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The question is on the picture

Vitek1552 [10]

The answer is 4.8873, so you can say over 4 times as great, or almost 5 times as great for the first question.

And I think the second question could be because those over 35 years old have a more stable career, they're more developed skill-wise & worth more to their company so they're paid more, and of higher ranking in their professions, etc.

4 0

3 years ago

Find an n-degree polynomial function with real coefficients satisfying the given condition.

kolezko [41]

In all cases, if $f$ has real coefficients, then any complex roots occur in conjugate pairs, so if $a+bi$ is a root, then so is $a-bi$ . Also, by the fundamental theorem of algebra, if $r_1,\ldots,r_n$ are roots to $f$ , then for some constant $a\in\mathbb R$ ,

$f(x)=a(x-r_1)\cdots(x-r_n)$

1. If $n=3$ and $f(3)=f(2i)=0$ , then

$f(x)=a(x-3)(x-2i)(x+2i)=ax^3-3ax^2+4ax-12a$

Given that $f(-1)=50$ , we have

$f(-1)=a(-1-3)(-1-2i)(-1+2i)=-20a=50\implies a=-\dfrac52$

$\implies\boxed{f(x)=-\dfrac52x^3+\dfrac{15}2x^2-10x+30}$

2.

$f(x)=a(x-4)(x-(-5+2i))(x-(-5-2i))=a x^3 + 6 a x^2 - 11 a x - 116 a$

With $f(2)=-636$ , we have

$f(2)=a(2-4)(2+5-2i)(2+5+2i)=-106a=-636\implies a=6$

$\implies\boxed{f(x)=6x^3+36x^2-66x-696}$

The rest are done in the same exact way.

3 0

3 years ago

What does this problem equal?<br> (h-k)(3) =

navik [9.2K]

Answer:

3h−3k

Step-by-step explanation:

8 0

3 years ago

Read 2 more answers

Prove that the line passing through points A (4.1) and B (-1.3) is perpendicular to the line passing through points G (4, -2) an

Mumz [18]

Answer:

See below

Step-by-step explanation:

<u>Find the slope of each line:</u>

m(AB) = (3 - 1)/(- 1 - 4) = 2 / - 5 = - 2/5
m(GD) = (3 + 2)/(6 - 4) = 5/2

<u>The product of the slopes is - 1, hence the lines are perpendicular:</u>

- 2/5 * 5/2 = - 1

Equation of each line

<u>Line AB</u>

y - 1 = -2/5(x - 4) ⇒ y = - 2/5x + 8/5 + 1 ⇒ y = - 2/5x + 13/5

<u>line GD</u>

y + 2 = 5/2(x - 4) ⇒ y = 5/2x - 10 - 2 ⇒ y = 5/2x - 12

<em>Their graph and intersection point is given in the attached picture</em>

5 0

1 year ago

Evaluate 12 sigma n=3 20(0.5)^n-1<br> 9.99<br> 19.95<br> 29.98<br> 39.96

posledela

Answer:

We have a geometric series in which:

a = 20

r = 1/2

Now, we know that: S2 = 20(1-r^2)/(1-r) and S12 = 20(1-r^12)/1-r

Therefore: sigma(3,12) = S12-S2 = 20[(1-r^12)/(1-r) - (1-r^2)/(1-r)] =5115/512 = 9.99023438

Therefore, the answer is: 9.99

3 0

2 years ago

Read 2 more answers