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anyanavicka [17]
3 years ago
15

I opened a grocery account at my bank with $250. Every week thereafter, I withdraw $90 from the account to pay for groceries. If

x is the number of weeks I've had the account, then y is the amount in the account. Find an equation of a line in the form y = mx + b that describes my grocery account balance.
Mathematics
1 answer:
Ksenya-84 [330]3 years ago
7 0

Answer:

y= -90x+250

Step-by-step explanation:

From the information given, the equation would be that the amount in the account would be equal to -90 that is the amount you withdraw from the account each week multiply for x that is the number of weeks plus $250 that is your initial balance:

y= -90x+250, where

y= amount in the account

x= number of weeks.

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Please help, I'm stuck on this answer.
babymother [125]
I agree with what that person told you. The expression -2(x+10) is equivalent to -2x-20

Multiply the outer -2 with the inner x to get -2 times x = -2x

Multiply the outer -2 with the inner term 10 to get -2 times 10 = -20

So overall, -2(x+10) = -2x-20

--------------------------------------------

So that's how we're able to go from this -2(x+10) \ge 75 to this -2x-20 \ge 75

The only thing that changes is the left side. The inequality sign will not flip. It only flips if we multiply both sides by a negative number. 

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Step-by-step explanation:

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Hi! I just need somebody to explain how this is done.
iren2701 [21]

Answer:

Exact form: x = \frac{10.8}{sin(57)}

Rounded to the Nearest Tenth: x = 12.9

Step-by-step explanation:

<em>In the right-angled triangle, we can use the trigonometry functions to find the length of a side or a measure of an angle</em>

In the given figure

∵ ∠C is the right angle

∴ ΔACB is a right triangle

∵ m∠B = 57°

∵ AC = 10.8

∵ AC is the opposite side of ∠B

∵ AB is opposite to the right angle

∴ AB is the hypotenuse

∵ AB = x

→ We can use the function sine to find x

∵ sin∠B = \frac{opposite}{hypotenuse}

∴ sin∠B = \frac{AC}{AB}

→ Substitute the values of ∠B, AC, and AB in the rule of sine above

∴ sin(57°) = \frac{10.8}{x}

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∵ x × sin(57°) = 10.8

→ Divide both sides by sin(57°)

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→ Round your answer to the nearest tenth

∴ x = 12.9

Exact form: x = \frac{10.8}{sin(57)}

Rounded to the Nearest Tenth: x = 12.9

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