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lisov135 [29]
3 years ago
10

Fill in the box with any number that will create a quadratic function with zeros at -1 and 3.

Mathematics
1 answer:
Sergeeva-Olga [200]3 years ago
3 0

Answer:

3x^2 - 6x - 9

Step-by-step explanation:

In order to make the function have zeros at -1 and 3 it needs to factor into:      

<u>To make that:</u>

3x^2 - 6x - 9

(3x - 9)(x + 1)

<u>To check:</u>

3x - 9 + 9 / 3 = 0 + 9 / 3

x = 3

x + 1 - 1 = 0 - 1

x = -1

So, it is correct.  

Answer:  3x^2 - 6x - 9

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Refer to the following distribution:Cost of Textbooks Frequency $25 up to $35 2 S35 up to $45 5$45 up to $55 7$55 up to $65 20 S
soldi70 [24.7K]

Answer:

Relative\ Frequency = 0.04

Step-by-step explanation:

Given

Cost of Textbooks ---- Frequency

$25 up to $35  -----      2

$35 up to $45 -------     5

$45 up to $55  -------    7

$55 up to $65   ------    20

$65 up to $75   ----   -- 16

Required

Determine the relative class frequency for the $25 up to $35 class

First, we need to get the total frequency

Total = 2 + 5 + 7 + 20 + 16

Total = 50

Next, is to write out the frequency of $25 up to $35 class

Frequency = 2

Divide this frequency by the total frequency; This gives the relative frequency

Relative\ Frequency = \frac{Frequency}{Total}

Relative\ Frequency = \frac{2}{50}

Relative\ Frequency = 0.04

Hence;

Option D answers the question

4 0
3 years ago
(5,-2 is on which quardrant
blondinia [14]

Answer:

Quadrant IV, or the fourth quadrant.

Step-by-step explanation:

Plot your points, first plotting 5, then plotting -2.

4 0
3 years ago
Solve the differential equation y prime equals the product of 2 times x and the square root of the quantity 1 minus y squared .
MatroZZZ [7]

Answer:

1. y = sin(x²+C)

2. see below

Step-by-step explanation:

1. \frac{dy}{dx} = 2x\sqrt{1-y^2}

separation of variables

\frac{dy}{\sqrt{1-y^2} } = 2xdx

integration both sides\int\frac{dy}{\sqrt{1-y^2} } = \int2xdx

you should get :

sin^{-1} (y) = x^2+C remember constant of integration!!

2. y = sin(x²+C)

3 = sin(0+C)

y(0) = 3 does not have a solution because our sin graph is not shifted vertically or multiplied by a factor whose absolute value is greater than 1, so our range is [-1,1] and 3 is not part of this range

4 0
4 years ago
Solve -5sqrtx = -15.<br><br> A. x = -9<br> B. x = 7<br> C. x = 9<br> D. x = -7
labwork [276]

Check this attachment

3 0
3 years ago
Read 2 more answers
Explain how you can write 35% as the sum of two benchmark percents or as a multiple of a percent
OlgaM077 [116]

I'll just take the points thanks XD

3 0
3 years ago
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