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3 years ago

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

Mathematics

2 answers:

Snezhnost [94]3 years ago

6 0

Answer:

the average rate of change is 4

Step-by-step explanation:

Akimi4 [234]3 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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At track practice,Sheila worked on the long jump. Her first jump measured 3 yards, 2 feet, 8 inches. Her second jump measured 2

jolli1 [7]

The length is 19.5 feet. this is because when you add the yards, it equals 15 feet. Next, add 1 + 2 feet from the first and second jump. 10+8 inches equal 1.5 feet. Next, add 15 feet+3 feet+1.5 feet to get 19.5 feet.

7 0

3 years ago

PLEASE ANSWER WITH ALL THE MATH

Colt1911 [192]

9514 1404 393

Answer:

Jacob: 4
his mother: 39

Step-by-step explanation:

Let J and M represent the current ages of Jacob and his Mother.

currently:

M = 3 +9J

in 11 years:

M+11 = 5 +3(J+11)

Using the first equation to substitute for M in the second, we have ...

(3 +9J) +11 = 5 +3(J +11) . . . . . substitute for M

9J +14 = 3J +38 . . . . . . simplify

6J + 24 . . . . . . . . . . subtract 3J+14

J = 4 . . . . . . . . . . divide by 6

M = 3 +9(4) = 39

Jacob is 4 and his mother is 39.

8 0

2 years ago

Find the value of the expression below for x=10 x ^2 - 2 (x + 5)

Thepotemich [5.8K]

Answer:

Step-by-step explanation:

your welcome!!

7 0

3 years ago

Read 2 more answers

Sarah spent a total of $7.25 on 8 apples and a packet of grapes. If a packet of grapes cost $2.85, how much did each apple cost?

Novosadov [1.4K]

$0.55 Cents per apple
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3 years ago

Drag the tiles to the correct boxes to complete the pairs not all tiles will be used match each quadratic graph to its respectiv

ch4aika [34]

Answer:

Part 1) The function of the First graph is $f(x)=(x-3)(x+1)$

Part 2) The function of the Second graph is $f(x)=-2(x-1)(x+3)$

Part 3) The function of the Third graph is $f(x)=0.5(x-6)(x+2)$

See the attached figure

Step-by-step explanation:

we know that

The quadratic equation in factored form is equal to

$f(x)=a(x-c)(x-d)$

where

a is the leading coefficient

c and d are the roots or zeros of the function

Part 1) First graph

we know that

The solutions or zeros of the first graph are

x=-1 and x=3

The parabola open up, so the leading coefficient a is positive

The function is equal to

$f(x)=a(x-3)(x+1)$

Find the value of the coefficient a

The vertex is equal to the point (1,-4)

substitute and solve for a

$-4=a(1-3)(1+1)$

$-4=a(-2)(2)$

$a=1$

therefore

The function is equal to

$f(x)=(x-3)(x+1)$

Part 2) Second graph

we know that

The solutions or zeros of the first graph are

x=-3 and x=1

The parabola open down, so the leading coefficient a is negative

The function is equal to

$f(x)=a(x-1)(x+3)$

Find the value of the coefficient a

The vertex is equal to the point (-1,8)

substitute and solve for a

$8=a(-1-1)(-1+3)$

$8=a(-2)(2)$

$a=-2$

therefore

The function is equal to

$f(x)=-2(x-1)(x+3)$

Part 3) Third graph

we know that

The solutions or zeros of the first graph are

x=-2 and x=6

The parabola open up, so the leading coefficient a is positive

The function is equal to

$f(x)=a(x-6)(x+2)$

Find the value of the coefficient a

The vertex is equal to the point (2,-8)

substitute and solve for a

$-8=a(2-6)(2+2)$

$-8=a(-4)(4)$

$a=0.5$

therefore

The function is equal to

$f(x)=0.5(x-6)(x+2)$

3 0

3 years ago