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3 years ago

the value y varies directly with x. which function represents the relationship between x and y if y=20/3 when x=30?

1 answer:

6 0

If y varies directly with x, means that they can be modeled by a linear equation, lets choose a line with 0 y intercept, that is:
y = mx + b
y = mx
where m is the slope of the line, now we plug in the data we have:
y = mx
20/3 = m(30)
solving for m:
m = (20/3)(1/30)
m = 20/90
m = 2/9
so the line equation, or function modeling the y and x relationship is:
y = (2/9)x

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Tell which rule applies to each expression

Kryger [21]

Answer:

1. Product

2. Power

3. Quotient and power

Step-by-step explanation:

Product is for multiplication

Power is for exponents

Quotient is for division

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3 years ago

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Solve the following inequality algebraically. ∣x+7∣≤8

AlekseyPX

Answer:

x ≤ 1 and x ≥ −15

Step-by-step explanation:

Solving Absolute Value

We know that x + 7 ≤ 8 or x + 7 ≥ -8

Condition 1:

Step 1: Subtract 7 from both sides.

$x + 7 - 7\leq 8 - 7$
$x\leq 1$

Condition 2:

Step 1: Subtract 7 from both sides.

$x + 7 - 7\geq -8 - 7$
$x\geq -15$

Therefore, the answer is x ≤ 1 and x ≥ -15.

Have a lovely rest of your day/night, and good luck with your assignments! ♡

4 0

3 years ago

Find y...............................................

muminat

Answer:

5√13

Step-by-step explanation:

We know that PQWV is a square because its given. A square has all congruent sides. Therfore, VW is 10. The. length of VU is fifteen because the length of PU is 25 since PRSU is a square. We know that m<PVW is 90 degrees because PQWV is a square. Therefore, we can say the m<UVW is 90 degrees because of a straight line. Using the pythagorean therom (a^2 +b^2=c^2 (where a and b are the legs and c is the hypotenuse)) we can say that √(10^2+15^2). This equals to √325. This can be simplified to 5√13.

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3 years ago

rectangle A has a length of 24 meters and a width of 20 meters. rectangle B has the same area as rectangle A. the width of recta

blagie [28]

To solve this, first we'll find the area of the rectangle A,

Area=length × width
?=24m×20m
480m=24m×20m
480m squared=area of the rectangle A

now we'll find the width of rectangle B,
"the width of rectangle B is 12 meters less than the width of rectangle A",
20m-12m= 8m
8m=width of rectangle B

finally we'll find the length of rectangle B,
area of the rectangle B= 480msquared
width= 8m
length=? (to find this divide the area by the width)
480÷8=60m
length of the rectangle B=60m

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4 years ago

What is 23/46 reduced

artcher [175]

If you were trying to simplify it, it's not posible because 23 is a composite number so I just went ahead and did division for you:
23/46=0.5
I hope this helped!

4 0

3 years ago

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