All categories

3 years ago

List the integers that satisfy both these inequalities | 2x + 9<0 and x>-12

Mathematics

1 answer:

miss Akunina [59]3 years ago

8 0

2x + 9 < 0
2x < -9
x < -4.5
x> -12

x = {-11, -10, -9, -8, -7, -6, -5}

You might be interested in

Write f(x) in a non-factored way from polynomial equation f(x)=(x+2)(-x+3)(x-2)?

Lelu [443]

Answer:

f(x) = -x³ + 3x² + 4x - 12

Step-by-step explanation:

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

Step 1. Use the difference of two squares

(x + 2)(x - 2) = x² - 4

f(x) = (-x + 3)(x² - 4)

Step 2. Long multiplication

x² - 4

-x³ + 4x

-x³ + 3x² + 4x - 12

f(x) = -x³ + 3x² + 4x - 12

5 0

4 years ago

A craft store buys 50 yards of satin ribon for $12.50. The store sells the ribbon by the foot. A customer can purchase 5 feet of

amm1812

Answer:

$8.1

Step-by-step explanation:

Convert 45 yards of ribbon to feet through proper conversion factor.

(45 yards)(3 ft / 1 yard) = 135 feet

Divide this number by 5 to determine the number of 5-ft ribbon that customers can purchased.

n = 135 ft / 5 ft = 27

Then, multiply by $0.80.

R = (27)($0.80) = $21.6

The profit is equal to $21.6 and $13.50,

P = $21.6 - $13.50 = $8.1

Answer: $8.1

8 0

3 years ago

Please someone actually help with this I don't understand how.

tigry1 [53]

Answer:

Scatter plot

Step-by-step explanation:

Answer is 5

8 0

3 years ago

A large manufacturing firm tests job applicants who recently graduated from college. The test scores are normally distributed wi

anzhelika [568]

Answer:

lowest score a college graduate must earn to qualify for a responsible position is 578

correct option is D. 578

Step-by-step explanation:

given data

mean = 500

standard deviation = 50

distribution = 6 %

to find out

What is the lowest score a college graduate must earn to qualify for a responsible position

solution

we know that here Probability P that is express as

P ( Z > x ) = 100% - 6% .....................1

so with the help of normal table

here value of Z is = 1.55 from cumulative probability 0.94

so by z score formula here x will be

x = z × standard deviation + mean ................2

so put here value

x = 1.55 × 50 + 500

x = 577.7387 ~ 578

so lowest score a college graduate must earn to qualify for a responsible position is 578

8 0

3 years ago

If f(x) = 3^2 + 10x and g(x) = 2x-4, find (f-g)(x).

Marat540 [252]

What we know:

$f(x)=3^2+10x\\g(x)=2x-4$

(Also, $3^2=9$ )

What we need to solve:

$(f-g)(x)$ (This is equal to $f(x)-g(x)$ )

How you have to subtract $f(x)$ with $g(x)$ to get:

$(f-g)(x) = f(x)-g(x) = 9+10x+2x-4 = 12x+5$

Thus, the answer would be:

$12x+5$

3 0

3 years ago