Help immediately!!!!! What is the average rate

Mathematics

2 answers:

Snezhnost [94]2 years ago

6 0

Answer:

the average rate of change is 4

Step-by-step explanation:

Akimi4 [234]2 years ago

4 0

Answer:

Step-by-step explanation:

1. Information

Another word for the average rate of change is the slope. The question is essentially asking, what the slope is over the interval of [3, 4]. Hence, one will use the following points, that are on this given function;

(3, -5), (4, -1)

One must also know that the formula for slope is;

$\frac{y_{2}-y_{1}}{x_{2}-x_{1}}$

2. Solving

Input the given points into the formula and solve.

$\frac{(-1)-(-5)}{(4)-(3)}$

$\frac{-1+5}{1}$

$\frac{4}{1}$

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rewona [7]

X = 5/3 and m∠SPY = 8 1/3°.

Since PQ bisects the angle, the two angles formed by the bisector are equal:

11/2x - 5 = 4x - 5/2

We will first multiply everything by 2 to eliminate the fractions:
(11/2x)*2 - 5*2 = 4x*2 - (5/2)*2
11x - 10 = 8x - 5

Subtract 8x from each side:
11x - 10 - 8x = 8x - 5 - 8x
3x - 10 = -5

Add 10 to both sides:
3x - 10 + 10 = -5 + 10
3x = 5

Divide both sides by 3:
3x/3 = 5/3
x = 5/3

Now we will plug this in for x in both smaller angles and add them together to find the measure of ∠SPY:

11/2(5/3) - 5 + 4(5/3) - 5/2
55/6 - 5 + 20/3 - 5/2

We will rewrite everything using a denominator of 6:
55/6 - 30/6 + 40/6 - 15/6 = (55-30+40-15)/6 = 50/6 = 8 2/6 = 8 1/3°

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3 years ago

What is the value of point H on the number line? A. 3/5 B. 2.6 C. 5/3 D. 1.4

mario62 [17]

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2 years ago

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SO Determine the values of a, b, and c for the quadratic equation: 4x2 - 8x = 3

Schach [20]

I believe it’s

a = 4
b = -8
c = -3

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