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3 years ago

The line passes through the points ( 7, -7) and ( 6, -5) a. y = -2x + 7 c. y = -2x - 7 b. y = 2x - 21 d. y = 2x - 7

1 answer:

5 0

Slope = (-5+7)/(6 - 7) = -2

y = mx + b
b = y - mx
b = -7 - (-2)(7)
b = -7 + 14
b = 7

equation
y = -2x + 7

answer
<span>a. y = -2x + 7</span>

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What expression is equivalent to (4y^2-3) (4y+3)

Naya [18.7K]

Answer:

Step-by-step explanation:

Just use the distributive property.

(4y^2-3)(4y+3)

= 4y^2(4y+3) - 3(4y+3)

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3 years ago

Jose walks at a rate of 4 miles per hour and runs at a rate of 8 miles per hour. Each week, his exercise program requires him to

Nastasia [14]

Answer:

Here we can use the relationship:

Distance = time*speed.

When Jose walks, his speed is 4 mph.

Then if he walks for X hours, the distance that he will travel is:

D = 4mph*X

When Jose runs, his speed is 8mph.

Then if he runs for T hours, the distance that he will travel is:

D´ = 8mph*Y

And we know that he travels in total 20 miles, then we must have that:

D + D´= 20mi

This leads to:

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Where X is the time that he walked, and Y is the time that he runed.

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3 years ago

Which situation represents a proportional relationship?

lyudmila [28]

Answer:

D. The cost of purchasing avocados for $1.75 per pound plus a shipping fee of $0.16 per pound.

Step-by-step explanation:

A linear relationship is of the form $y=mx+b$ , where, $m$ is the unit rate and $b$ is the fixed value (constant).

For a proportional relationship, the value of $b=0$ and thus it is of the form $y=mx$

Let us check each option and express it in the form above.

Option A:

Given:

Unit rate of purchasing a basket of apples, $m=\$ 1.25$

Fixed price for the basket, $b=\$ 5$

Since, $b \ne 0$ , therefore, it is not a proportional relationship.

Option B:

Given:

Unit rate of purchasing a banana, $m=\$ 5$

Fixed price for the box, $b=\$ 3$

Since, $b \ne 0$ , therefore, it is not a proportional relationship.

Option C:

Given:

Unit rate of purchasing a lime, $m=\$ 0.65$

Discount from total cost, $b=\$ 1$

Since, $b \ne 0$ , therefore, it is not a proportional relationship.

Option D:

Given:

Unit rate of purchasing an avocado = $\$ 1.75$

Unit rate of shipping = $\$ 0.16$

Therefore, total cost per pound is the sum of the unit rates of purchasing and shipping. So,

Total cost of avocados per pound, $m=1.75+0.16=\$ 1.91$

There is no fixed cost on this. So, $b=0$

Since, $b = 0$ , therefore, it is a proportional relationship.

Therefore, the correct option is D.

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3 years ago

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Ilia_Sergeevich [38]

Answer:

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Step-by-step explanation:

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3 years ago

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Inessa [10]

Answer:

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Step-by-step explanation:

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3 years ago

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