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Minchanka [31]
3 years ago
15

Solve using Combining Like Terms (CLT) 7 + 4d + 5d = 7d + 3

Mathematics
1 answer:
Vesnalui [34]3 years ago
3 0

Answer:

d= -2

Step-by-step explanation:

7 + 4d + 5d = 7d + 3

Combine like terms

7+9d = 7d+3

Subtract 7d from each side

7+9d-7d = 7d-7d+3

2d +7 = 3

Subtract 7 from each side

2d+7-7 = 3-7

2d = -4

Divide each side by 2

2d/2 = -4/2

d = -2

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The graph below represents which system of inequalities?
attashe74 [19]

Answer:

y ≤ 2x -2 Option C.

Step-by-step explanation:

Equation of the dotted line which passes through (3,0) and (0,8) will be

y = mx+C

m = \frac{y-y'}{x-x'}=\frac{3-0}{0-3} = -1

and C = 3

So equation will be y = x + 3

But shaded blue part is above the dotted line so inequality will be y> -x +3

Equation of the second solid line which passes through ( 0,-2) and (1,0) will be

y = mx + C

m = \frac{y-y'}{x-x'} = \frac{0+2}{1-0} = 2

and C = -2

So equation of the line will be y = 2x - 2

But shaded yellow part is below the solid line.

So inequality will be

y ≤ 2x -2

Option C. is the answer.

5 0
2 years ago
A certain forest covers an area of 4800 km^2 . Suppose that each year this area decreases by 5.25% . What will the area be after
9966 [12]

Answer:

the area after 6 years is  3,473 km^2

Step-by-step explanation:

The computation of the area after 6 years is as follows:

= Area × (1 - decreased percentage)^number of years

= 4,800 km^2 × (1 - 5.25%)^6

= 4,800 km^2 × 0.9475^6

= 3,473 km^2

Hence, the area after 6 years is  3,473 km^2

5 0
2 years ago
Peter plays basketball. In one game, he needs to score at least 38 points to have a
earnstyle [38]
2x + 3y > 38

I am currently on mobile, but the > should have a solid line beneath. I know that 2x + 3y needs to be greater than or equal to 38, since if he scores less than 38 points he won’t meet his season high of 1,200.
7 0
3 years ago
Subtract the quotient of h and 3,from 4 multiplied by 4.
zimovet [89]
4(3h-4)
12h-16?


I don't think that is right, I was kinda guessing
7 0
3 years ago
What is the y-Intercept of x+3y>9?
IrinaK [193]

Answer:

3

Step-by-step explanation:

6 0
3 years ago
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