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Use a negative factor to factor the expression - 7a+49b - 35

Use a negative factor to factor the expression - 7a+49b - 35

2 months ago

Solution 1

Guest Guest #5491518
2 months ago

Answer:

using a negative facto to factor the expression will be:

- 7a+49b - 35 = -7(a-7b+5)

Step-by-step explanation:

Given the expression

- 7a+49b - 35

Rewrite -35 as 5 · 7

Rewrite 49 as 7 · 7

so

= -7a + 7 · 7b - 5 · 7

as -7 is the common factor, so factoring out

= -7(a-7b+5)

Thus, using a negative facto to factor the expression will be:

- 7a+49b - 35 = -7(a-7b+5)

📚 Related Questions

Question
Pls help!(: 1. find f(0) and use the function f(x)=2|x+10|-6 2. find x if g(x)=20 use the function g(x)=x+1 3. find g(0)+f(1) using the functions f(x)=2|x+10|-6 and g(x)=x+1 Please explain Im confused..
Solution 1

                                               Question 1)

Given the function

f(x) = 2|x+10| - 6

You need to remember that:

f(x) = y

f(0) means we need to determine the value of y at x = 0.

so substitute x = 0 in the function

f\left(x\right)\:=\:2|x+10|\:-\:6

f\left(0\right)\:=\:2|0+10|\:-\:6

         =2\left|10\right|-6

Apply absolute value:    \left|a\right|=a,\:a\ge 0

         =2\cdot \:10

         =20

Thus,

f\left(0\right)\:=\:20

                                               Question 2)

Given the fuction

g(x) = x+1

substitute g(x) = 20 in the function

20 = x+1

x = 20-1

x = 19

Thus,

x = 0

                                                  Question 3)

Given the function

f(x)=2|x+10|-6

substitute x = 1 in the function

f(1)=2|1+10|-6

f(1)=2|1+10|-6

f(1) = 2|11| - 6

Apply absolute value:    \left|a\right|=a,\:a\ge 0

f(1) = 2(11) - 6

f(1) = 22 - 6

f(1) = 16

Given the function

g(x)=x+1

substitute x = 0 in the function

g(0) = 0+1

g(0) = 1

Thus,

g(0)+f(1) = 16+1

             = 17

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Answer:

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Step-by-step explanation:

557.98 * 1.065 = 594.25

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A waiter earned a 25% tip. What decimal is equivalent to 25%?
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0.25 is the decimal thats equivalent to 25%
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6. What is the original price of an apple if you got a 20% discount and paid $1 for it?
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Answer:

1.25

Step-by-step explanation:

x * 0.8 = 1

x = 1/0.8

x = 1.25

Question
PLEASE HELP DUE TODAY Brian bought 11 pounds of sugar for $7. How many dollars did he pay per pound of sugar?
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Answer:

It is 7 devided by 11

0.6363636363

Step-by-step explanation:

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Question
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Answer:

0

Step-by-step explanation:

Solution 2

Answer:

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Step-by-step explanation:

Question
A pair of shoes cost $38 The sales tax rate is7% Find the total cost
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$35.34 is the answer
Question
The area of a rectangular wall of a barn is 33 square feet. Its length is 8 feet longer than the width. Find the length and width of the wall of the barn, The width is feet.?
Solution 1

Answer:

Width = 3ft

Length  = 11ft

Step-by-step explanation:

Given parameters:

Area of rectangular wall  = 33ft²  

Unknown:

Length and width of the wall of the barn  = ?

Solution:

 So;

         Area of a rectangle  = length x width

Let the length  = L

            width  = W

           L  = 8 + W

       33  = (8 + W)W

       33  = 8W + W²  

         W² + 8W  - 33  = 0

          W² + 11W - 3W - 33  = 0

          W(W + 11)  - 3(W + 11)  = 0

           (W - 3)(W + 11)  = 0

    W - 3  = 0 or W + 11  = 0

So;   W = 3

To find the length;

           L  = W + 8

           L  = 3 + 8  = 11

Question
Keith and Sarah Robinson purchased 40 stamps, a mixture of 49 cent and 34 cent stamps. Find the number of each type of stamp if they spent $17.35.
Solution 1
There are 2 equation. First let 49 cent stamps be f and 34 stamps be t. 
One equation would be f+t=40 the other one would be .49f+.34t=17.35. You can do substitution if you want or elimination. 
Put the two in line
49f+34t=1735
f+t=40----> elimination
-34(f+t=40)--> solve

49f+34t=1735
-34f-34t=-1360 --->solve
---------------------
            15f =375--> divide
f=25
Then put this on the first equation to find the other answer.

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