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meriva
3 years ago
14

Which is a correct first step for solving this equation? 4x=7+3(2x−5)

Mathematics
2 answers:
Gemiola [76]3 years ago
7 0

Answer:

Step-by-step explanation:

The easiest first step is to remove the brackets. Other things could be done, but they are done just because you can.

4x = 7 + 3*2x - 5*3        Just to show you more, I'll keep going.

4x = 7 + 6x - 15              Combine the minus 15 and 7

4x = 6x + 7 - 15

4x = 6x - 8                     Now add 8 to both sides. It's a toss up of what to do

4x + 8 = 6x - 8 + 8

4x + 8 = 6x                    Subtract 5x from both sides

4x - 4x + 8 = 6x - 4x

8 = 2x                             Divide by 2

x = 4

The steps usually follow this order.

Dvinal [7]3 years ago
6 0

Answer:

x=4

Step-by-step explanation:

you have to do the ( ) first then you combine like terms and then you add them up and boom you got the answer

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A bank offers an annual simple interest rate of 8% on home improvement loans. Tobias borrowed $17,000 over a period of 2 years.
levacccp [35]


We first find out the amount in dollars of interest accrued after 2 years  time.

Interest = Prt

where P is the principal, r is the rate and t is  time

8% written in decimal fraction → 8/100 → 0.08

Interest = 17000 × 8% × 2

Interest = 1700 × 0.08 × 2

Interest =  2,720 dollars

We add the principal and the interest to get full amount paid, so:

17000 + 2,720 = 19,720

Therefore the answer is D

5 0
3 years ago
What is 8x-3y=-9 5x+4y=12
Andrews [41]
I hope this helps you

3 0
3 years ago
Polygon sum worksheet
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8 0
4 years ago
A farmer wants to fence a rectangular garden next to his house which forms the northern boundary. The fencingfor the southern bo
Ivahew [28]

Answer:

10 ft x 10 ft

Area = 100 ft^2

Step-by-step explanation:

Let 'S' be the length of the southern boundary fence and 'W' the length of the eastern and western sides of the fence.

The total area is given by:

A=S*W

The cost function is given by:

\$ 120 = \$3*2W+\$6*S\\20 = W+S\\W = 20-S

Replacing that relationship into the Area function and finding its derivate, we can find the value of 'S' for which the area is maximized when the derivate equals zero:

A=S*(20-S)\\A=20S-S^2\\\frac{dA}{dS} = \frac{d(20S-S^2)}{dS}\\0= 20-2S\\S=10

If S=10 then W =20 -10 = 10

Therefore, the largest area enclosed by the fence is:

A=S*W\\A=10*10 = 100\ ft^2

5 0
3 years ago
Which step is included in the graph of the function f(x)=[x-1]? (the brackets are ceiling functions symbols)
KiRa [710]

we are given

f(x)=[x=1]

where bracket means ceiling functions

we know that

Ceiling  function returns the least value of the integer that is greater than or equal to the specified number

so, we can check each options

option-A:

-4\leq x

At x=-4:

f(x)=[-4-1] =-5

For x<-3:

Let's assume

x=-3.1

f(x)=[-3.1-1] =[-4.1]=-5

so, this interval is TRUE

option-B:

-2\leq x

At x=-2:

f(x)=[-2-1] =-3

For x<-1:

Let's assume

x=-1.1

f(x)=[-1.1-1] =[-2.1]=-3

so, this is FALSE

7 0
4 years ago
Read 2 more answers
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