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Juliette [100K]
3 years ago
15

(06.03 MC)How is the expression (5 + y) ⋅8 described by its factors and terms?

Mathematics
1 answer:
muminat3 years ago
4 0

Answer:

D.) It has two factors and the factor (5 + y) has two terms.

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consider the function f(x) = x2 2x – 15. what are the x-intercepts of the function? left-most x-intercept: ( , 0) right-most x-i
eimsori [14]

we have

f(x)=x^{2} +2x-15

we know that

The x-intercept is the value of x when the value of the function is equal to zero

so

in this problem

Find the roots of the function

equate the function to zero

x^{2} +2x-15=0

Group terms that contain the same variable, and move the constant to the opposite side of the equation

x^{2} +2x=15

Complete the square. Remember to balance the equation by adding the same constants to each side

x^{2} +2x+1=15+1

x^{2} +2x+1=16

Rewrite as perfect squares

(x+1)^{2}=16

Square root both sides

(x+1)=(+/-)\sqrt{16}

(x+1)=(+/-)4

x=-1(+/-)4

x1=-1+4=3

x2=-1-4=-5

x^{2} +2x-15=(x-3)(x+5)

therefore

<u>the answer is</u>

the x-intercepts are the points (3,0) and (-5,0)

3 0
3 years ago
Read 2 more answers
Which of the following sets of values correctly completes the T chart for the equation Y =|3x+1|. -5,1,7
Ivahew [28]

Option C:

5, 1, 7

Solution:

Given equation:

y = |3x + 1|

In the chart, x values are given as –2, 0, 2.

To find the value of y for the corresponding x given.

Substitute x  = –2 in the equation of y.

y = |3(–2) + 1|

  = |–6 + 1|

  = |–5|   (Absolute value of a negative number is positive)

y = 5

Substitute x  = 0 in the equation of y.

y = |3(0) + 1|

  = |0 + 1|

  = |1|

y = 1

Substitute x  = 2 in the equation of y.

y = |3(2) + 1|

  = |6 + 1|

  = |7|   (Absolute value of a negative number is positive)

y = 7

Option C is the correct answer.

The values of y are 5, 1, 7.

The answer image of the table is attached below.

8 0
3 years ago
Mandy has 36 cups of apple juice. she uses 1/4 of the juice to make punch. she then uses the remaining juice to pour single serv
Anna [14]
36/4
That is 9
36-9=27
27/3=9
27-9=18
18 Jello Apple Juice Shots
8 0
3 years ago
A number to the 10th power divided by the same number to the 7th power equals 216
VashaNatasha [74]

Answer: 5

Step-by-step explanation: Let x = the number

x^10 ÷ x^7 = 125

x^3 = 125

x = 5

6 0
3 years ago
Read 2 more answers
A man leaves home at 20:15 hrs and
Mila [183]

Answer:

9 hours and 45 mins

Step-by-step explanation:

First, this is in army time. (Just so you know!) Also, it goes to 24 hours.

What you would do is add 45 mins to get to a single hour: so 20:15 + 45 = 21:00, then add 3 to get to 24:00 or 12:00 am, then add 6 more hours to get to 6:00 hours. So the final answer is 9 hours and 45 mins

7 0
2 years ago
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