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Alenkinab [10]
2 years ago
5

Graph the solution to this system of inequalities in the coordinate plane.

Mathematics
1 answer:
olga nikolaevna [1]2 years ago
4 0

Answer:

Step-by-step explanation:

3y > 2x + 12

y>\frac{2}{3}x+4

This inequality will be represented by the a dotted line and solution area for the inequality will be shaded area (In red) above the dotted line.

2x + y ≤ -5

y ≤ -2x - 5

This inequality will be represented by a solid line and solution area will be the shaded area (in blue) below the solid line.

Therefore, common area of both will be the solution area for the system of inequalities.

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Answer:

C. f(x)= |3x -8|

Step-by-step explanation:

*view attached graph*

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2 years ago
Form quadratic functions given the following information:<br> Zeroes at 4 and –2, f(0)=4
laila [671]

Answer:

f(x)=-0.5x^2+x+4

Step-by-step explanation:

we know that

A quadratic function in factored form is equal to

f(x)=a(x-x_1)(x-x_2)

where

a is the leading coefficient

x_1 and x_2 are the zeroes of the function

substitute the given values

f(x)=a(x-4)(x+2)

Find the value of a

Remember that

For x=0 ----> f(0)=4

substitute

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4=a(-8)\\a=-0.5

so

f(x)=-0.5(x-4)(x+2)

f(x)=-0.5(x^2+2x-4x-8)

f(x)=-0.5(x^2-2x-8)

f(x)=-0.5x^2+x+4

5 0
3 years ago
Use the calculator to find the product. (1. 466 × 10–8)(5. 02 × 105) What is the coefficient of the product? What is the exponen
mestny [16]

The product of the factors in the given expression comes to be 7.35932 *10^{-3}.

The given expression is:

(1.466*10^{-8} )(5.02*10^5)

We can rewrite the given expression as

(1.466*5.02)(10^{-8} *10^5)

<h3>What is the exponent addition rule? </h3>

If we have two numbers with the same base we can write the product of the numbers as a single base followed by the addition of exponents.

a^m*a^n = a^{m+n}

1.466*5.02=7.35932

10^{-8} *10^5 = 10^{-3}....from exponent addition rule

So, (1.466*10^{-8} )(5.02*10^5)=7.35932 *10^{-3}

Therefore, the product of the factors in the given expression comes to be 7.35932 *10^{-3}.

To get more about exponents visit:

brainly.com/question/819893

6 0
2 years ago
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Rzqust [24]
Y=3x plus or minus any number that is not 10.

The slope of your function has to stay 3x to be parallel with the function given. Just change the y-intercept (also known as the B value) to a number other than -10.
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Answer:

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