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stealth61 [152]
2 years ago
5

Celia simplified the expression Negative 4 x (1 minus 3) minus (2 x + 2). She checked her work by letting x = 5 in both expressi

ons. Her work for the original expression is shown below.
Negative 4 x (1 minus 3) minus (2 x + 2) = negative 4 (5) (1 minus 3) minus (2 (5) + 2) = negative 20 (negative 2) minus 12 = 40 minus 12 = 28.


Celia knows that the simplified expression should also equal 28 when x = 5. Which shows Celia’s simpllifed expression?
–6x – 1
–6x + 2
6x + 1
6x – 2
Mathematics
1 answer:
guapka [62]2 years ago
8 0

Answer:

6x-2

Step-by-step explanation:

-4x(1-3)-(2x+2)

= 4x+12x-2x-2

6x-2

(simplify)

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The ratio of dogs to cats in a veterinarian’s office is 9:7. What is the ratio of the number of dogs to the total number of dogs
lara31 [8.8K]
The answer is 9:16 just add 9+7=16 and then we know out of the 16 nine were dogs so 9:16
3 0
3 years ago
Mrs. Monroe is painting her room and she uses 5 gallons of paint. How many pints of paint did she use?
Veseljchak [2.6K]

Answer:

40 pints of paints

Step-by-step explanation:

there are 8 pints in a gallon

8 x 5 = 40

3 0
3 years ago
Read 2 more answers
A certain firm has plants A, B, and C producing respectively 35%, 15%, and 50% of the total output. The probabilities of a non-d
Sliva [168]

Answer:

There is a 44.12% probability that the defective product came from C.

Step-by-step explanation:

This can be formulated as the following problem:

What is the probability of B happening, knowing that A has happened.

It can be calculated by the following formula

P = \frac{P(B).P(A/B)}{P(A)}

Where P(B) is the probability of B happening, P(A/B) is the probability of A happening knowing that B happened and P(A) is the probability of A happening.

-In your problem, we have:

P(A) is the probability of the customer receiving a defective product. For this probability, we have:

P(A) = P_{1} + P_{2} + P_{3}

In which P_{1} is the probability that the defective product was chosen from plant A(we have to consider the probability of plant A being chosen). So:

P_{1} = 0.35*0.25 = 0.0875

P_{2} is the probability that the defective product was chosen from plant B(we have to consider the probability of plant B being chosen). So:

P_{2} = 0.15*0.05 = 0.0075

P_{3} is the probability that the defective product was chosen from plant B(we have to consider the probability of plant B being chosen). So:

P_{3} = 0.50*0.15 = 0.075

So

P(A) = 0.0875 + 0.0075 + 0.075 = 0.17

P(B) is the probability the product chosen being C, that is 50% = 0.5.

P(A/B) is the probability of the product being defective, knowing that the plant chosen was C. So P(A/B) = 0.15.

So, the probability that the defective piece came from C is:

P = \frac{0.5*0.15}{0.17} = 0.4412

There is a 44.12% probability that the defective product came from C.

3 0
4 years ago
If f(x)=2x+3 and g(x)=x^2+1 find f(g(3))<br><br> Help!!<br> A.23<br> B.47<br> C.82<br> D.90
True [87]

Answer

A. 23

step-by-step explanation

g(x) =  {x}^{2} + 1

We put x=3 into the function g

\implies g(3)= {3}^{2} + 1

\implies \: g(3)=10

Also,

f(x)=2x +3

we substitute the value of g(3) into f

\implies f(g(3))=f(10)

\implies f(g(3))=f(10) = 2(10) + 3

\implies f(g(3))=23

8 0
4 years ago
What is the purpose of multiplying by the conjugate of a complex denominator when finding the quotient of complex numbers?
Viefleur [7K]

Answer:

C: Radicals in the denominators of fractions are considered unsimplified. You need to multiply a fraction by a value that removes radicals or imaginary numbers in the denominator, which is the complex conjugate of the denominator.

Step-by-step explanation:

5 0
3 years ago
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