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dsp73
3 years ago
6

Which of the following is NOT a solution to the system of inequalities?

Mathematics
1 answer:
timofeeve [1]3 years ago
4 0

Answer:

(+,0)

Step-by-step explanation:

because the graph of the inequality

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Can someone please help me with question 7?
storchak [24]

The goal is to raise AT LEAST $180, so this automatically indicates that the amount of keychains sold with the price must be the same or more than $180.

k = number of keychains

each keychain is $2.25

2.25k ≥ 180

divide both sides by 2.25 to get the k alone

k ≥ 80

The answer is 2.25k ≥ 180, k ≥ 80

(Hope this isn't confusing)


6 0
3 years ago
A landscaper has enough cement to make a patio with an area of 150 Sq ft. The homeowner wants the length of the patio to be 6 ft
Natasha_Volkova [10]
A=lw=150\\l=w+6\\(w+6)w=150\\w^2+6w=150\\w^2+6w-150=0\\w=\frac{-b+-\sqrt{b^2-4ac}}{2a}\\w=\frac{-(6)+-\sqrt{(6)^2-4(1)(-150)}}{2(1)}\\w=\frac{-6+-\sqrt{36+600}}{2}\\w=\frac{-6+-\sqrt{636}}{2}\\w=\frac{-6+-2\sqrt{159}}{2}\\w=-3+-\sqrt{159}>0\\w=-3+\sqrt{159}\\\\l=(-3+\sqrt{159})+6\\l=3+\sqrt{159}

Width = -3 + sqrt(159)
Length = 3 + sqrt(159)
4 0
3 years ago
Find the equation of the line that is perpendicular to y=5 through the point (-4,-6)
Nikolay [14]

Answer:

x=-4

Step-by-step explanation:

we know that

The given equation y=5 is a horizontal line (is parallel to the x-axis)

The slope of the given line is equal to zero

A perpendicular line to the given line is a vertical line (parallel to the y-axis)

so

The equation of a vertical line is equal to the x-coordinate of the point that passes through it

The point that passes through it is (-4,-6)

therefore

The equation of the perpendicular line is

x=-4

4 0
3 years ago
What is the distance from point (– 1, 3) to the line 3x – 4y = 10?​
natta225 [31]

Answer:

5 units

Step-by-step explanation:

The distance from a point (m, n ) to the line Ax + By + C = 0 is given by

d = \frac{|Am+Bn+C|}{\sqrt{A^2+B^2} }

For the point (- 1, 3 ) , with m = - 1 and n = 3

3x - 4y = 10 ( subtract 10 from both sides )

3x - 4y - 10 = 0

with A = 3 , B = - 4 , C = - 10

d = \frac{|3(-1)+(-4)3-10|}{\sqrt{3^2+(-4)^2} }

   = \frac{|-3-12-10|}{9+16}

   = \frac{|-25|}{\sqrt{25} }

    = \frac{25}{5}

     = 5

5 0
2 years ago
Write the equation in slope intercept form. Then, match the equation with the correct graph.
Natasha_Volkova [10]

Answer:

Graph A:  y = (1/2)x - 2

Step-by-step explanation:

2x−4y=8 in slope-intercept form is -4y = -2x + 8, or y = 1/2x - 2

The slope of this line is 1/4 and the y-intercept is -2.  This is represented by Graph A.

5 0
2 years ago
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