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3 years ago

Which of the following describes the zeroes of the graph of f(x)= -x^5+9x^4-18x^3

Mathematics

1 answer:

Elina [12.6K]3 years ago

4 0

Answer:

$-x^5+9x^4-18x^3=0\\-x^3(x^2-9x+18)=0\\-x^3(x-3)(x-6)=0\\\\\\\\x=0\\x=3\\x=6$

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Noelle has set a goal to run more than 50 mi this month. So far, she has run 10 mi. Her average running speed is 5 mph.

Vladimir79 [104]

Answer:

To meet her goal, Noelle must run more than $8\ hours$ the rest of the month

Step-by-step explanation:

Let

h-------> the number of hours Noelle runs for the rest of the month

we know that

The inequality that represent the situation is

$10+5h>50$

Solve for h

Subtract 10 both sides

$5h> 50-10$

$5h> 40$

Divide by 5 both sides

$h> 8\ hours$

3 0

3 years ago

How many times greater is the value of the 2 in 204,936 than the value of the 2 in 124,936

Sliva [168]

I believe it would be C.10

5 0

3 years ago

Read 2 more answers

Distributive property of 9*45

Mashutka [201]

<span>9*45
= 9(40 + 5)
= 360 + 45
= 405

answer
</span>Distributive property of 9*45 = 9(40 + 5)

8 0

3 years ago

Find the solutions of the quadratic equation 14x^2+9x+10=014x

Vesnalui [34]

Answer:

Option B. $x=-\frac{9}{28}(+/-)\frac{\sqrt{479}}{28}i$

Step-by-step explanation:

we know that

The formula to solve a quadratic equation of the form $ax^{2} +bx+c=0$ is equal to

$x=\frac{-b(+/-)\sqrt{b^{2}-4ac}} {2a}$

in this problem we have

$14x^{2}+9x+10=0$

$a=14\\b=9\\c=10$

substitute in the formula

$x=\frac{-9(+/-)\sqrt{9^{2}-4(14)(10)}} {2(14)}$

$x=\frac{-9(+/-)\sqrt{-479}} {28}$

Remember that

$i=\sqrt{-1}$

substitute

$x=\frac{-9(+/-)\sqrt{479}i} {28}$

$x=-\frac{9}{28}(+/-)\frac{\sqrt{479}}{28}i$

5 0

3 years ago

What is the solution to the equation 2/3a-1/6=1/3

Vsevolod [243]

Answer:

a = $\frac{3}{4}$

Step-by-step explanation:

$\frac{2a}{3} -\frac{1}{6} =\frac{1}{3}$

$\frac{4a}{6}-\frac{1}{6} =\frac{2}{6}$

(now you can multiply the whole equation by 6 to remove the fractions

4a - 1 = 2

4a = 2+1

4a = 3

a = $\frac{3}{4}$

4 0

3 years ago