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expeople1 [14]
3 years ago
10

I need help with Math please (20 points)

Mathematics
1 answer:
Afina-wow [57]3 years ago
8 0

Answer:

603

Step-by-step explanation:

The rate of change is found by

rate of change = f(b) -f(a)

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

                            b-a

We need to find the rate of change for the interval 7,9  and 4,6

We know b= 9 and a = 7

f(9) -f(7)

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

9-7

3878-1852

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

9-7

2026

-------

2

1013


We know b= 6 and a = 4

f(6) -f(4)

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

6-4

1178-358

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

6-4

820

------

2

410

It asks how much greater,  that means subtraction

1013-410

603


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the average rate of change of the function f(x) on the interval -3≤x≤3 is -2.5. If (-3)=14 then which of the following is the va
oksian1 [2.3K]

The average rate of change of <em>f(x)</em> on -3 ≤ <em>x</em> ≤ 3 is given to be

(<em>f</em> (3) - <em>f</em> (-3)) / (3 - (-3)) = -2.5

If <em>f</em> (-3) = 14, then

(<em>f</em> (3) - 14) / (3 + 3) = -2.5

(<em>f</em> (3) - 14) / 6 = -2.5

<em>f</em> (3) - 14 = -15

<em>f</em> (3) = -1

4 0
3 years ago
The range of y= 2/3 sin x for pi &lt; x &lt; 3pi/2 is ___?
victus00 [196]

Answer:

-2/3 < y < 0

Step-by-step explanation:

y = Asin(x)

Edit*

There's a node (y=0) at pi for sine wave. At 3/2pi will be the min. So range goes from -2/3 to 0

5 0
3 years ago
Six workers can do 9 identical jobs in 3 days. How long will it take 4 workers to do 10 such jobs ???
Delicious77 [7]
6 workers-9 jobs in 3 days
In one day 6 workers can do 3 jobs
In one day 1 worker can do 0.5 job
4 workers can so 2 jobs in a day
So. They can do 10 jobs in 5 days
4 0
3 years ago
A certain university has 18 vehicles available for use by faculty and staff. Five of these are vans and 13 are cars. On a partic
Reil [10]

Answer:

a

 P(E) = 0.278

b

  P(F |E) = 0.2353

c

P(E and  F) = 0.0654

Step-by-step explanation:

The number of vehicles available is N  =  18

The number of vans is k = 5

The number of cars is n = 13

Generally P(E) is mathematically represented as

P(E) =  \frac{k}{N}

=>    P(E) =  \frac{5}{18}

=>    P(E) = 0.278

Generally P(F| E)  means the probability that the second vehicle assigned is  a van given that the first one selected is a van this mathematically calculated as

      P(F |E) =  \frac{5 -1}{18-1}

        P(F |E) =  \frac{4}{17}

        P(F |E) = 0.2353

Generally  P(F | E) is also mathematically represented as

      P(F | E) = \frac{P(E and F)}{P(E)}

=>   P(E and  F) =P(E) * P(F | E)

=>   P(E and  F) = 0.278  * 0.2353

=>P(E and  F) = 0.0654

5 0
3 years ago
Write as a product of 2 binomials and a monomial (factor out as much as possible from each binomial):
gayaneshka [121]

(14x+21y)(6ab-3a) = 3a(2b - 1)(14x + 21y)

<em><u>Solution:</u></em>

Given that,

(14x+21y)(6ab-3a)

We have to factor out terms and write as a product of 2 binomials and monomial

A monomial is a mathematical expression with only one term, while a binomial is a mathematical expression with two terms.

From given expression,

(14x+21y)(6ab-3a) = (14x + 21y)(3 \times 2ab -3a)

3 and a are common factors in second bracket

(14x+21y)(6ab-3a) = 3a(2b - 1)(14x + 21y)

Hence, the product of two binomial is written in two binomial and a monomial

4 0
3 years ago
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