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Rzqust [24]
3 years ago
9

Which system of inequalities is shown in the graph

Mathematics
1 answer:
TiliK225 [7]3 years ago
6 0

Answer:

Option D

Step-by-step explanation:

step 1

Find the equation of the inequality A (quadratic equation)

The quadratic equation is

y=x^{2}-3x

we know that

The solution of the inequality A is the shaded area above the solid line of the quadratic equation

so

The inequality is equal to

y\geq x^{2}-3x

step 2

Find the equation of the inequality B (linear equation)

The linear equation is

y=-x+3

we know that

The solution of the inequality B is the shaded area below the solid line of the linear equation

so

The inequality is equal to

y\leq -x+3

You might be interested in
Which graph represents the solution set for the quadratic inequality x2 + 2x + 1 > 0
AnnyKZ [126]

we have

x^{2}+2x + 1 > 0

we know that

x^{2}+2x+1=(x+1)^{2}

so

(x+1)^{2}> 0

two solutions

<u>first solution </u>

(x+1)> 0

x > -1

the first solution is the interval---------> (-1,∞)

<u>second solution</u>

-(x+1)> 0

-x-1> 0

-x> 1

x< -1

the second solution is the interval---------> (-∞,-1)

therefore

the solution is all real numbers except the number -1

the answer in the attached figure

8 0
3 years ago
Read 2 more answers
An angle's initial ray points in the 3-o'clock direction and its terminal ray rotates CCW. Let θ represent the angle's varying m
Alexxandr [17]

Answer:

0.546 , -4.71

Step-by-step explanation:

Given:

An angle's initial ray points in the 3-o'clock direction and its terminal ray rotates counter -clock wise.

Here, Slope = tan\theta

If θ = 0.5

Then, Slope = tan(θ) = tan(0.5) = 0.546

If θ = 1.78

Then, Slope = tan(θ) = tan(1.78) = - 4.71

The expression (in terms of θ) that represents the varying slope of the terminal ray.

Slope = m = tanθ, where θ is the varying angle

7 0
4 years ago
You need to buy some chicken for dinner tonight. You found an ad showing that the store across town has it on sale for $2.89 a p
ASHA 777 [7]

Answer:

   1. Going to the close store is cheaper.

Step-by-step explanation:

The difference in the prices of chicken is 3.19 -2.89 = 0.30 per pound, so for 5 pounds of chicken, the far store offers a price that totals 5×$0.30 = $1.50 less.

The difference in travel distances is 8.4 -2.4 = 6 miles, so the total round-trip distance difference is 12 miles. The cost of gas is ...

  ($3.81 /gal)/(23 mi/gal) = $0.1656 /mi

so the cost of gas for the 12-mile longer trip would be

  12×$0.1656 ≈ $1.99

Traveling to the far store, you would spend $1.99 more on gas to save $1.50 on the price of chicken. Going to the close store is cheaper.

3 0
3 years ago
If the annual interest rate is 2.8% then the weekly rate is
user100 [1]

Answer:

0.0538% (3 sf)

Step-by-step explanation:

annual = 1 yr = 12 months = 52 weeks

2.8% / 52 = 0.053846153

3 0
3 years ago
Using the equation y = 3x – 5, what would the output be for an input of 4
SSSSS [86.1K]
The input is the x-coordinate and the output is the y-coordinate. If the input is 4, plug 4 into the x variable to find the output, y.

y=3(4)-5
y=12-5
y=7

The output is 7.
8 0
3 years ago
Read 2 more answers
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