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NemiM [27]
3 years ago
5

Which function has real zeros at x = 3 and x = 7?

Mathematics
2 answers:
Nezavi [6.7K]3 years ago
7 0

Answer:

x² - 10x + 21

Step-by-step explanation:

the 3rd one

(x-3)(x-7)=0

nydimaria [60]3 years ago
4 0

Answer:

C. f(x) = x2 – 10x + 21

Step-by-step explanation:

Just had this on a test

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Solve the simultaneous equations<br>8x – 3y = 30<br>3x + y = 7​
hodyreva [135]
Solve for y in 3x+7=y

y=7−3x

Substitute y=7−3x

y=7−3x into 8x−3y=30

8x−3y=30.

17x−21=30

Solve for x

x in 17x−21=30

17x−21=30.

X=3

Substitute x=3 into y=7−3x

y=-2

Therefore,

x=3

y=−2

​

6 0
2 years ago
A rocket is launched from a tower. The height of the rocket, y in feet, is related to the time after launch, x in seconds, by th
irga5000 [103]

Answer:

The rocket hits the ground at a time of 11.59 seconds.

Step-by-step explanation:

The height of the rocket, after x seconds, is given by the following equation:

y = -16x^2 + 177x + 98

It hits the ground when y = 0, so we have to find x for which y = 0, which is a quadratic equation.

Finding the roots of a quadratic equation:

Given a second order polynomial expressed by the following equation:

ax^{2} + bx + c, a\neq0.

This polynomial has roots x_{1}, x_{2} such that ax^{2} + bx + c = a(x - x_{1})*(x - x_{2}), given by the following formulas:

x_{1} = \frac{-b + \sqrt{\bigtriangleup}}{2*a}

x_{2} = \frac{-b - \sqrt{\bigtriangleup}}{2*a}

\bigtriangleup = b^{2} - 4ac

In this question:

y = -16x^2 + 177x + 98

-16x^2 + 177x + 98 = 0

So

a = -16, b = 177, c = 98

\bigtriangleup = 177^{2} - 4(-16)(98) = 37601

x_{1} = \frac{-177 + \sqrt{37601}}{2*(-16)} = -0.53

x_{2} = \frac{-177 - \sqrt{37601}}{2*(-16)} = 11.59

Since time is a positive measure, the rocket hits the ground at a time of 11.59 seconds.

4 0
3 years ago
Interior and Exterior Triangle Angles<br><br> please help asap !!!!
Fiesta28 [93]

Answer:

∠ WUV = 36°

Step-by-step explanation:

The exterior angle of a triangle is equal to the sum of the 2 opposite interior angles.

∠ VWX is an exterior angle of the triangle, thus

8x - 18 = 2x + 8 + 3x + 16

8x - 18 = 5x + 24 ( subtract 5x from both sides )

3x - 18 = 24 ( add 18 to both sides )

3x = 42 ( divide both sides by 3 )

x = 14

Thus

∠ WUV = 2x + 8 = 2(14) + 8 = 28 + 8 = 36°

8 0
2 years ago
Need help with this question.
Iteru [2.4K]
Take 3÷2.6=1.153846repeating. So around $1.15. To check you can take the decimal point times by 2.6 and it will give you three.
7 0
3 years ago
How many
tatiyna

Answer:

D

Step-by-step explanation:

7 0
2 years ago
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