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vaieri [72.5K]
3 years ago
15

Factor the polynomial by finding the greatest common factor. -15y^7z^6 – 3y^3z^8

Mathematics
1 answer:
S_A_V [24]3 years ago
4 0
Answer: -3y^3z^6(5y^4+z^2)

Explanation: The first number in the parenthesis has to be positive, so the GCF in this problem will be negative. The GCF between the coefficients is 3. The GCF between the y variable is y^3. The GCF between the z variable is z^6. We combine all of the GCFs to get an overall GCF: -3y^3z^6. Then we will factor it out of the two terms, giving us: -3y^3z^6(5y^4+z^2). You can check the answer by multiplying them to see if you get the original expression.
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So....

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3 years ago
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5 0
3 years ago
An athlete knows that when she jogs along her neighborhood​ greenway, she can complete the route in 10 minutes. It takes 20 minu
IgorLugansk [536]

Answer:

10 miles per hour.

Step-by-step explanation:

Let x represent athlete's walking speed.

We have been given that her jogging rate is 5 mph faster than her walking​ rate, so athlete's jogging speed would be x+5 miles per hour.

\text{Distance}=\text{Rate}\cdot \text{Time}

10 minutes = 1/6 hour.

20 minutes = 1/3 hour

While walking, we will get D_{\text{walking}}=x\frac{\text{miles}}{\text{hour}}\cdot \frac{1}{3}\text{hour}

D_{\text{walking}}=\frac{x}{3}

While jogging, we will get D_{\text{jogging}}=(x+5)\frac{\text{miles}}{\text{hour}}\cdot \frac{1}{6}\text{hour}

D_{\text{jogging}}= \frac{(x+5)}{6}

Since athlete is covering same distance while walking and jogging, so we can equate both expressions as:

\frac{x}{3}=\frac{x+5}{6}

Cross multiply:

6x=3x+15

6x-3x=15

3x=15

\frac{3x}{3}=\frac{15}{3}\\\\x=5

Therefore, athlete's walking speed is 5 miles per hour.

Jogging speed: x+5\Rightarrow 5+5=10

Therefore, athlete's jogging speed is 10 miles per hour.

3 0
4 years ago
Gabriela has dinner at a cafe and the cost of her meal is $45.00. Because of the service,she wants to leave a 15%tip. What is he
Kitty [74]
45+(45*.15)=
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