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2 years ago

The second step in the process for factoring the trinomial x2 -5x - 36 is to:

Mathematics

1 answer:

mel-nik [20]2 years ago

4 0

Answer:

$sum = - 5 \\ product = - 36 \\ finding \: factors \\ = - 9 \: and \: 4 \\ = > ( x - 9)(x + 4)$

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Find the value of x so that the function has the given value. f(x) = 3 – 2x; f(x) = -5

Brrunno [24]

F(-5)= 3-2(-5)
= 3+10
= 13

Hope it helps :))

4 0

2 years ago

Jane is playing a game in which he spins a spinner with 6 equal-sized slices numbered 1 through 6. The spinner stops on a number

sleet_krkn [62]

Answer:

The expected value of playing the game is $0.75.

Step-by-step explanation:

The expected value of a random variable is the weighted average of the random variable.

The formula to compute the expected value of a random variable X is:

$E(X)=\sum x\cdot P(X=x)$

The random variable X in this case can be defined as the amount won in playing the game.

The probability distribution of X is as follows:

Number on spinner: 1 2 3 4 5 6

Amount earned (X): $1 $4 $7 $10 -$8.75 -$8.75

Probability: 1/6 1/6 1/6 1/6 1/6 1/6

Compute the expected value of X as follows:

$E(X)=\sum x\cdot P(X=x)$

$=(1\times \frac{1}{6})+(4\times \frac{1}{6})+(7\times \frac{1}{6})+(10\times \frac{1}{6})+(-8.75\times \frac{1}{6})+(-8.75\times \frac{1}{6})$

$=\frac{1}{6}+\frac{4}{6}+\frac{7}{6}+\frac{10}{6}-\frac{8.75}{6}-\frac{8.75}{6}$

$=\frac{1+4+7+10-8.75-8.75}{6}$

$=0.75$

Thus, the expected value of playing the game is $0.75.

5 0

2 years ago

A rectangular parking lot has a perimeter of 820 ft. The area of the parking lot measure SL 42,000 ft

horsena [70]

Answer:

a= 200

b = 210

Step-by-step explanation:

My assumption is, we have to find the length of sides of rectangle

Given

perimeter = 2a + 2b = 820 ft (i) (here a is smaller side and b is larger side)

area = a*b = 42,000 ft^2 (ii)

from eq (1)

2a + 2b = 820

=> 2(a+b) = 820

=> a+b = 820/2

=> a + b = 410

=> a = 410-b (iii)

putting the value of a in eq(ii), we get

(410-b) *b = 42,000

410b - b^2 = 42,000

0 = b^2 - 410b + 42000

b^2 - 410b + 42000 = 0

b^2- 200b- 210b + 42000 = 0

b(b-200)-210(b-200) = 0

(b-200)(b-210) = 0

b= 210 and b = 200

if b is larger side than b =210

By putting value of b in eq(iii),

a = 410 -210 = 200

6 0

2 years ago

Translate this sentence into an equation. The product of dianes height and 2 is 32. Use the variable d to represent dianes heigh

DanielleElmas [232]

D•2=32 D=16 Product is a quantity obtained by multiplying quantities together

5 0

2 years ago

At a competition with 8 runners, 2 medals are awarded for first and second place. Each medal is different. How many ways are the

BigorU [14]

Answer:

Step-by-step explanation:

At a competition, there are 8 runners

2 medals are awared for first and second place

Therefore the eat to award the medal van be calculated as follows

8×7

= 56

3 0

2 years ago