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2 years ago

Evaluate the following expression: -2|9|. 18 -11 -18 11

Mathematics

2 answers:

maria [59]2 years ago

7 0

Answer:

- 18

Step-by-step explanation:

note that | 9 | = 9 , thus

- 2 | 9 | = - 2 × 9 = - 18

makkiz [27]2 years ago

6 0

Answer:

-18

Step-by-step explanation:

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6. A hospital needs a supply of an expensive medicine. Company A has the most

Anton [14]

We are required to find the total milligrams if medicine the hospital can get from the three companies.

The total quantity of medicine the hospital can get from the three companies is 2.75 milligrams

There are there companies:

Company A

Company B

Company C

Company A = 1.3 milligrams

Company A is 0.9 milligrams more than Company C's

A = 0.9 + C

1.3 = 0.9 + C

1.3 - 0.9 = C

0.4 = C

C = 0.4 milligrams

Company A is also twice the difference between the weight of

Company B's supply and Company C's

A = 2(B - C)

1.3 = 2(B - 0.4)

1.3 = 2B - 0.8

1.3 + 0.8 = 2B

2.1 = 2B

Divide both sides by 2

B = 2.1/2

B = 1.05 milligrams

Therefore,

A + B + C

= 1.3 + 1.05 + 0.4

= 2.75 milligrams

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4 0

2 years ago

Read 2 more answers

FORM A CUBIC POLYNOMIAL WHOSE ZEROS ARE -3,-1 AND 2

Firdavs [7]

$(x+3)(x+1)(x-2)=\\(x^2+x+3x+3)(x-2)=\\(x^2+4x+3)(x-2)=\\x^3-2x^2+4x^2-8x+3x-6=\\x^3+2x^2-5x-6$

7 0

2 years ago

Which expression is equivalent to 6(4(6x-4y)-5) ?

iren2701 [21]

Answer:

$144x - 96y - 30$

Step-by-step explanation:

Step 1: Distribute

$6(4(6x - 4y) - 5)$

$6((4 * 6x) + (4 * -4y) - 5)$

$6(24x - 16y - 5)$

Step 2: Distribute again

$(6 * 24x) + (6 * -16y) + (6 * -5)$

$144x - 96y - 30$

Answer: $144x - 96y - 30$

8 0

2 years ago

I NEED HELP PLEASE, THANKS! :) Heather invests $4,900 in an account with a 3.5% interest rate, making no other deposits or withd

Alex

Answer: $5,828.28

Step-by-step explanation:

Use the Compound Interest formula: $A=P(1+\frac{r}{n})^{nt}$ where

A is the accrued amount (balance)
P is the principal (initial amount invested)
r is the interest rate (in decimal form)
n is the number of times compounded each year
t is the time of the investment (in years)

Given: P = 4,900

r = 3.5% (0.035)

n = 2

t = 5

$A=4,900\bigg(1+\dfrac{0.035}{2}\bigg)^{2(5)}\\\\\\.\qquad = 4900(1.0175)^{10}\\\\\\.\qquad = \large\boxed{5,828.28}\\$

5 0

3 years ago

Please could you explain this step by step I’m really stuck.

allochka39001 [22]

Answer:

x = -2.5
x = 2

Step-by-step explanation:

Hello!

We can remove the denominators by multiplying everything by it.

Solve:

$\frac{5}{x + 3} + \frac4{x + 2} = 2$
$5 + \frac{4(x + 3)}{x + 2} = 2(x + 3)$
$5 + \frac{4x + 12}{x + 2} = 2x + 6$
$5(x + 2) +4x + 12 = (2x + 6)(x + 2)$
$5x + 10 + 4x + 12 = 2x^2 + 6x + 4x + 12$
$9x + 22 = 2x^2 + 10x + 12$

Let's make one side equal to 0.

$0 = 2x^2 + x - 10$

Solve by factoring, and then the zero product property.

$0 = 2x^2 + x - 10\\$

Multiply 2 and -10. You get -20. Think of two number that multiply to -20, and add to 1. If we think about the standard form of a quadratic, $ax^2 + bx + c$ , think two numbers that equal "ac" and add up to "b".

$0 = 2x^2 - 4x + 5x - 10$
$0 = 2x(x - 2) + 5(x - 2)$
$0 = (2x + 5)(x - 2)$

Using the zero product property, set each factor to 0 and solve for x.

2x + 5 = 0
2x = -5
x = -5/2 = -2.5
x - 2 = 0
x = 2

The two answers are x = -2.5, and x = 2.

3 0

1 year ago

Read 2 more answers