Question

Please help me!

Answer 1

Answer:

1. Option D.

2. Option D.

3. Option B.

4. Option A.

5. The graph of x=-2 is shown below.

Step-by-step explanation:

1.

The given equation is

$-10x + 5y = 40$

Substitute x=0, to find the y-intercept.

$-10(0) + 5y = 40\Rightarrow 5y=40\Rightarrow y=8$

Substitute y=0, to find the x-intercept.

$-10x + 5(0) = 40\Rightarrow -10x=40\Rightarrow x=-4$

Since x-intercept is -4; y-intercept is 8, therefore the correct option is D.

2.

The given equation is

$5x + 4y = 80$

Substitute x=0, to find the y-intercept.

$5(0) + 4y = 80\Rightarrow 4y=80\Rightarrow y=20$

Substitute y=0, to find the x-intercept.

$5x + 4(0) = 80\Rightarrow 5x=80\Rightarrow x=16$

Since x-intercept is 16; y-intercept is 20, therefore the correct option is D.

3.

The given equation is

$y=\frac{1}{6}x+4$

Standard form of a line is ax+bx=c.

Multiply both sides by 6.

$6y=x+24$

Subtract x from both sides.

$-x+6y=24$

Therefore, the correct option is B.

4.

Let k be the weights of kumquats and p be the weights of Asian pears.

A grocery store sells kumquats for $4.75 a pound and Asian pears for $2.25 a pound.

Total cost = 4.75k + 2.25p

Customer could buy for $22.

$4.75k + 2.25p=22$

Therefore, the correct option is A.

5.

The given equation is

$x=-2$

We need to find the graph of given equation.

We know that x=a is a vertical line which passes through the point (0,a).

The given equation x=-2 is a vertical line which passes through the point (0,-2).

The graph of x=-2 is shown below.

Answer 2

1=b
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