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arlik [135]
3 years ago
15

Write an algebraic expression for the two verbal expressions: 1. The product of 5 and twice a number x, decreased by the product

of 3 and that same number. 2. Twice the sum of a number x, and another number y, increased by the product of the first number squared and 8.
Mathematics
1 answer:
strojnjashka [21]3 years ago
4 0

Answer:

7x for the first expression

2x + 2y + 8x^2

Step-by-step explanation:

5(2x) - 3x

= 10x - 3x = 7x

2x + 2y + x^2(8)

= 2x + 2y + 8x^2

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What is 10 x 42 – 6 x 3 + 3 ? Evaluating expressions with Exponents​
lesya [120]
10 x 42= 420 6 x 3=18 420-18=402 402 + 3= 405 Answer:405
3 0
3 years ago
If we inspect photocopy paper by randomly drawing 5 sheets without replacement from every pack of 500, what is the probability o
earnstyle [38]

Answer:

98.01% probability of getting 5 clean sheets

Step-by-step explanation:

A probability is the number of desired outcomes divided by the number of total outcomes.

In this problem, the order that the sheets are chosen is not important, so we use the combinations formula to solve this problem.

Combinations formula:

C_{n,x} is the number of different combinations of x objects from a set of n elements, given by the following formula.

C_{n,x} = \frac{n!}{x!(n-x)!}

0.4% of the sheets contain spots

Of 500, that is 0.004*500 = 2.

What is the probability of getting 5 clean sheets although 0.4% of the sheets contain spots?

Desired outcomes

2 are defective, so 5 sheets from a set of 500 - 2 = 498.

D = C_{498,5} = \frac{498!}{5!493!} = 250160254344

Total outcomes

5 sheets from a set of 500.

T = C_{500,5} = \frac{500!}{5!495!} = 255244687600

Probability:

P = \frac{D}{T} = \frac{250160254344}{255244687600} = 0.9801

98.01% probability of getting 5 clean sheets

7 0
4 years ago
A 4-ounce serving of yogurt has 8 grams of protein. How many grams of protein
BlackZzzverrR [31]

Answer: which one

Step-by-step explanation:

3 0
3 years ago
Read 2 more answers
How many real solutions are there for f(x) = (x + 3)^2 – 8?
Molodets [167]
There are 2 solutions. the highest degree of a polynomial is 2
5 0
3 years ago
PLEASE HELP ME!!!!! A quadrilateral with vertices (0,0), (4,0), (3,2), (1,1) is mapped to a quadrilateral with vertices (6,3).(-
Murljashka [212]

Answer:

( 2,1) is the center of dilation and -2 is the scale factor

Step-by-step explanation:

We can use the formula

A' = k( x-a) +a, k( y-b)+b  where ( a,b) is the center of dilation and k is the scale factor

(0,0) becomes (6,3)

( 6,3) =  k( 0-a) +a, k( 0-b)+b

6 = -ka+a

3 = -kb+b

We also have

(4,0) becomes (-2,3)

( -2,3) =  k( 4-a) +a, k( 0-b)+b

-2 =4k -ka+a

3 = -kb+b

Using these two equations

6 = -ka+a

-2 =4k -ka+a

Subtracting the top from the bottom

-2 =4k -ka+a

-6 = ka -a

-------------------

-8 = 4k

Divide by 4

-8/4 = 4k/4

-2 = k

Now solving for a

6 = -ka +a

6 = - (-2)a +a

6 = 2a+a

6 = 3a

Divide by 3

6/3 =3a/3

2=a

Now finding b

3 = -kb+b

3 = -(-2)b+b

3 = 2b+b

3 = 3b

b=1

6 0
3 years ago
Read 2 more answers
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