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Brut [27]
3 years ago
6

A quadratic polynomial which has zeros at -7 and 5. ?

Mathematics
1 answer:
Aleonysh [2.5K]3 years ago
4 0

Answer:

x^2 + 2x - 35

Step-by-step explanation:

Sum of zeros

= - 7 + 5

= - 2

Product of zeros

= - 7 x 5

= - 35

x^2 - ( sum of zeros )x + product of zeros

= x^2 - ( - 2 ) x + ( - 35 )

= x^2 + 2x - 35

The Quadratic polynomial is x^2 + 2x - 35.

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Ierofanga [76]

Given that Janelle travels at 65 mph. the number of more hours it will

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<h3>How can the time to reach her destination be calculated?</h3>

Possible part of the question that appear missing are;

The distance Janelle drove in 4 hours = 260 miles

The distance from which she started = 575 miles

Required:

The number of extra hours it will take her to reach her destination

Solution:

The remaining distance = 575 miles - 260 miles = 315 miles

Speed =  \mathbf{ \dfrac{Distance}{Time}}

Janelle's \ average \ speed = \dfrac{260 \, miles }{4 \, hours} = \mathbf{ 65 \, mph}

Time = \dfrac{Distance}{Speed}

Which gives;

Time \ to \ reach \ her \ destination = \dfrac{315 \, miles}{65 \, mph} = 4\frac{11}{13} \, hours \approx \mathbf{ 5 \, hours}

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2 years ago
A photograph measuring 4 inches wide and 5 inches long is enlarged to make a wall mural. If the mural is 150 inches wide, how lo
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3 years ago
The volume of a right circular cone is found using the equation V = 1 3 π r 2 h . Which equation represents the volume solved fo
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Solving for a variable in an equation means, we are changing the subject of formula of the equation.

The equation of r is: \mathbf{r = \sqrt{\frac{3V}{\pi h}}}

The equation is given as:

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We start by multiplying both sides by 3

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Rewrite as:

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Divide both sides by \mathbf{\pi h}

\mathbf{\frac{3V}{\pi h}= \frac{\pi r^2h}{\pi h}}

Cancel out common factors

\mathbf{\frac{3V}{\pi h}= r^2}

Take square roots of both sides

\mathbf{\sqrt{\frac{3V}{\pi h}}= \sqrt{r^2}}

Evaluate the right-hand sides

\mathbf{\sqrt{\frac{3V}{\pi h}}= r}

Make r the subject

\mathbf{r = \sqrt{\frac{3V}{\pi h}}}

Hence, the resulting equating for r is:

\mathbf{r = \sqrt{\frac{3V}{\pi h}}}

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6 0
3 years ago
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