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BIG IDEAS MATH

sveticcg [70]

Answer:

The required expression is $\frac{y}{4}-3$ .

The value of the expression when y=20 is 2.

Step-by-step explanation:

Consider the provided phase.

3 less than the quotient of a number y and 4

The quotient of a number y and 4 can be written as: $\frac{y}{4}$

Now 3 less than the quotient of a number y and 4 can be written as:

$\frac{y}{4}-3$

Hence, the required expression is $\frac{y}{4}-3$ .

Now evaluate when y=20.

Substitute y=20 in above expression.

$\frac{20}{4}-3$

$5-3$

$2$

Hence, the value of the expression when y=20 is 2.

3 0

3 years ago

I’ve never been so confused, this is due in a few minutes, pls help if you can!

algol13

Given:

m(ar QT) = 220

m∠P = 54

To find:

The measure of arc RS.

Solution:

PQ and PT are secants intersect outside a circle.

<em>If two secants intersects outside a circle, then the measure of the angle formed is one-half the positive difference of the measures of the intercepted arcs.</em>

$$\Rightarrow \angle P = \frac{1}{2} (m \ ar (QT) - m \ ar (RS ))$

$$\Rightarrow 54 = \frac{1}{2} (220- m \ ar (RS ))$

Multiply by 2 on both sides.

$$\Rightarrow 2 \times 54 = 2 \times \frac{1}{2} (220- m \ ar (RS ))$

$$\Rightarrow 108= 220- m \ ar (RS )$

Subtract 220 from both sides.

$$\Rightarrow 108-220= 220- m \ ar (RS )-220$

$$\Rightarrow -112= -m \ ar (RS )$

Multiply by (-1) on both sides.

$$\Rightarrow (-112)\times(-1)= -m \ ar (RS )\times(-1)$

$$\Rightarrow 112= m \ ar (RS )$

The measure of arc RS is 112.

6 0

3 years ago

Four students were discussing how to find the unit rate for a proportional relationship. Which method is valid? “Look at the gra

AlladinOne [14]

The correct answer is: [A]: " Look at the graph of the relationship. Find the y-value of the point that corresponds to x = 1 . That value is the unit rate."

<h3>What is y-value?</h3>

The vertical value in a pair of coordinates. How far up or down the point is. The Y Coordinate is always written second in an ordered pair of coordinates (x,y) such as (12,5). Also called "Ordinate".

Here, The "y-axis" is located on the "vertical axis" that represents the "dependent variable" (or, at times, the "control value") that cannot be "manipulated" / controlled/ or "selected" / since it represents the "y-value" of the corresponding coordinate to which the "x-value" happens to corresponds to at the given value for "x" .

Thus, the correct answer is: [A]: " Look at the graph of the relationship. Find the y-value of the point that corresponds to x = 1 . That value is the unit rate."

Learn more about Y-value from:

brainly.com/question/3319387

#SPJ1

8 0

1 year ago

Mr. Park paid $85.00 for 4 shirts. Each shirt cost the same amount. What was the cost of each shirt in dollars and cents?

yaroslaw [1]

Answer:

I think you're supposed to do 85/4

Step-by-step explanation:

85 devided by 4

$21.25 for each shirt

5 0

2 years ago

What is the average rate of change for this quadratic function for the interval

stealth61 [152]

<h3>Answer: -4 (choice B)</h3>

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Explanation:

The table says that when x = 1, the output is y = -2.

So the point (1, -2) is on the parabola.

The table also says that point (3, -10) is on the parabola. We're focusing on this because x = 3 is the other endpoint.

Find the slope of the line through those two points. The slope here is the same as the average rate of change.

m = (y2 - y1)/(x2 - x1)

m = (-10 - (-2))/(3 - 1)

m = (-10 + 2)/(3 - 1)

m = -8/2

m = -4 is the slope, and therefore, the average rate of change from x = 1 to x = 3.

6 0

2 years ago