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Alex787 [66]
3 years ago
5

Evaluate the expression when a=4, b=−5, and c=−8. (−b)+c=

Mathematics
2 answers:
Lelu [443]3 years ago
8 0
The correct answer is -3. The 2 negative signs in the parentheses turns positive and add to -8.
hodyreva [135]3 years ago
7 0

Answer:

-3

Step-by-step explanation:

(−b)+c=

Let b = -5 and c = -8

- (-5) + -8

5 -8

-3

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Ross has to fill up a 300 gallon tank. There are already 75
stepan [7]

Answer: He needs 9 hours  to finish the task.

Step-by-step explanation:

Hi, first we have to subtract the gallons of water already in the tank (75) to the total capacity of the tank (300).

300-75 = 225

He needs to fill 225 gallons.

Since the pump Ross uses can fill 25 gallons of water per hour, the proportion is :

25 g / 1h

For 225 gallons:

225 g / x hours  

Solving for x

25/1 = 225/x

x= 225/ (25/1)

x = 9 hours

5 0
3 years ago
Please help me solve this for 15 points! <br><br>-x2 + 4x - 54 = 0​
Mazyrski [523]

Answer:

x1 =2-5i*sqrt(2)

x2 =2+5i*sqrt(2)

Step-by-step explanation:

-x^2 +4x-54=0 (quadratic equation)

a=-1, b=4, c=-54

x1=(-b+sqrt(b^2-4ac))/2a

x1=(-4+sqrt(4^2 - 4*(-1)(-54))/2*(-1)

x1=(-4+sqrt(16-216))/(-2)

x1 =(-4+sqrt(-200))/(-2)

x1 =(-4+sqrt(200i^2))/(-2) i^2=-1

x1 =(-4+sqrt(100*2*i^2))/(-2)

x1 =(-4+10i*sqrt(2))/(-2)

x1 =2-5i*sqrt(2)

x2 =(-b-sqrt(b^2-4ac))/2a

x2 =(-4-10i*sqrt(2))/(-2)

x2 =2+5i*sqrt(2)

7 0
3 years ago
Read 2 more answers
Show another way to write 100 more than 623 ​
____ [38]
There are many ways, but here is one:

x = 100

Since ‘x’ is 100 and we want 100 more, we just need to add ‘x’ to 623

Answer: x + 623 (Make sure you define your ‘x’ value)
4 0
3 years ago
Find the inverse f(x)=6x+7
Lorico [155]

Answer:

f^{-1} (x) = \frac{x-7}{6}

Step-by-step explanation:

let y = f(x) , then rearrange making x the subject

y = 6x + 7 ( subtract 7 from both sides )

y - 7 = 6x ( divide both sides by 6 )

\frac{y-7}{6} = x

Change y back into terms of x with x = f^{-1} (x) , then

f^{-1} (x) = \frac{x-7}{6}

7 0
2 years ago
Arliss has two pieces of carpet runner. One is yards long and the other is yards long. She needs 10 yards of carpet runner altog
Alekssandra [29.7K]
Given:
10 yards required
5 2/3 yards on hand.

We need to subtract the yards on hand from the total yards required.

First, we need to convert the mixed fraction into an improper fraction.

5 2/3 = ((5*3)+2)/3 = (15+2)/3 = 17/3

Second, we need to multiply 10 by a fraction that will give us the denominator of 3.

10 * 3/3 = (10*3)/3 = 30/3

Third, we do subtraction using our derived fractions.

30/3 - 17/3 = (30-17)/3 = 13/3

Lastly, we simplify the improper fraction. Improper fraction is a fraction whose numerator is greater than its denominator. Its simplified form is a mixed fraction.

13/3 = 4 1/3

Arliss needs to buy 4 1/3 yards more to complete the required yard length. 

6 0
3 years ago
Read 2 more answers
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