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maxonik [38]
2 years ago
12

if p(x) = x+ 7/ x-1 and q (x) = x^2 + x - 2, what is the product of p(3) and q(2)? a. 50 b. 45 c. 40 d. 20 e. 6

Mathematics
1 answer:
Amanda [17]2 years ago
6 0

Answer:

d. 20

Step-by-step explanation:

To answer the question given, we will follow the steps below:

we need to first find p(3)

p(x) = x+ 7/ x-1

we will replace all x by 3 in the equation above

p(3) = 3+7 / 3-1

p(3) = 10/2

p(3) = 5

Similarly to find q(2)

q (x) = x^2 + x - 2,

we will replace x by 2 in the equation above

q (2) = 2^2 + 2 - 2

q (2) = 4 + 0

q (2) = 4

The product of p(3) and q(2)   =   5 × 4   = 20

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Answer:

- 7

Step-by-step explanation:

The average rate of change of f(x) in the closed interval [ a, b ] is

\frac{f(b)-f(a)}{b-a}

Here [ a, b ] = [ - 5, - 2 ]

f(b) = f(- 2) = (- 2)² - 4 = 4 - 4 = 0

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3 0
3 years ago
27.) A customer went to a garden shop and bought some potting soil for $17.50 and 4 shrubs. The total bill was $53.50. Write and
Talja [164]

Answer:

c) The equation to find the price of each shrub is    $53.50 = 4 p + $17.50

The cost of 1 shrub = p =  $ 9.00

Step-by-step explanation:

The total number of shrubs purchased = 4

The price paid for potting soil = $17.50

The total bill of purchase = $53.50

Let us assume the cost of 1 shrub   = $p

The total amount spent of 4 shrubs = 4 x ( The price of each shrub)  =  4 p

TOTAL BILL = The amount paid for 4 shrubs +  AMOUNT paid for SOIL

⇒ $53.50 = 4 p + $17.50

Now. solving for p, we get:

53.50 - 17.50  = 4  p

or, 3 6  = 4 p

or, p = 36/4 = 9

or, p = 9

Hence, the cost of each shrub = $9

3 0
2 years ago
If a1=4 and an =2an-1 – 1 then find the value of a4.
musickatia [10]
1 = 4

a2 = -2(a1) - 1
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a3 = -2(a2) - 1
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Can you do a4 and a5 and answer?
7 0
2 years ago
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