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anastassius [24]
3 years ago
8

Evaluate the expression 7a² - 3b³ when a) a= 4, b= -2 b) a= -8, b=5

Mathematics
1 answer:
vovikov84 [41]3 years ago
8 0

Answer

Step-by-step explanation:

7a²-3b²

Replace a=4, b=2

7*4²-3*2²

= 112-12

= 100 first answer

7a²-3b²

Replace a=8, b=5

7*8²-3*5²

448-75

= 373 second answer

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Mrs. Gomez paid $780 for a new backyard fence. A new gate cost an additional $225. The fencing was a total of 120 feet. What was
Andrews [41]

I would do it this way

$780+$225=$1005

$1005/120ft= $8.375

if you have to round up $8.38 per foot

6 0
3 years ago
Which statement is true regarding the graphed functions? A) f(4)=g(4) B) f(4)=g(-2) C) f(2)=g(-2) D) f(-2)=g(-2)
fomenos

Answer:

Option (D)

Step-by-step explanation:

If the two points (x_1,y_1) and (x_2,y_2) are lying of the line.

Slope of the line represented by the function 'f' = \frac{y_2-y_1}{x_2-x_1}

Two points are lying on the line are (-2, 4) and (0, -2).

Slope of the line passing through these points 'm' = \frac{4+2}{-2-0}

m = -3

Y-intercept of the line 'b' = -2 [From the graph]

Therefore, equation of the function will be,

f(x)  = (-3)x - 2

f(x) = -3x - 2

Similarly, for other function represented by the line in red,

Slope of the line passing through (-6, 0) and (0, 6) = \frac{6-0}{0+6}

m' = 1

Y-intercept of g(x) = 5 [From the graph]

Equation that represents the function g(x) = 1.x + 5

g(x) = x + 5

For g(x) = f(x)

-3x - 2 = x + 6

-3x - x = 2 + 6

-4x = 8

x = -2

Therefore, for x = -2 both the functions will have the value.

f(-2) = g(-2)

Option (D) will be the answer.

6 0
3 years ago
Write 77.5% as a fraction or mixed number in simplest form.
Delicious77 [7]

Answer:

The answer is  77\frac{1}{2} .

Step-by-step explanation:

Given:

77.5%.

Now, to write as a fraction or mixed number in simplest form.

77.5%

So, we divide by 10 by removing decimal as decimal is at tenth place.

= \frac{775}{10}

So, simplifying it:

=\frac{155}{2}

Now, we change into mixed fraction:

=77\frac{1}{2}

Therefore, the answer is 77\frac{1}{2} .

7 0
3 years ago
on saturday you bowl at mar vista bowl where renting shoes costs $2 and each game bowled is $3.50.on sunday you bowl at pinz whe
Vlad1618 [11]

Answer:

Let x= number of games bowled.

Amount spent at Vista Bowl=2+3.5x

Amount spent at Pinz Bowl=5+3.25x

Setting these two equations equal to each other and solving for x will give you the number of games you can bowl to make the cost the same:

                             2+3.5x=5+3.25x             setting equations equal

                             3.5x-3.25x=5-2               combining like terms

                             0.25x=3                          simplify

                             (1/4)x=3                         changing decimal into a fraction

                             x=(3)(4)                         multiply both sides by 4 to isolate the x

                             x=12                              answer

Step-by-step explanation:

3 0
3 years ago
X - x-2/6 = x-7/3 + 2/3
elena-s [515]
X-x-2/6=x-7/3+2/3
-2/6+7/3-2/3=x
x= -2/6+5/3
x= 8/6
x= 4/3
3 0
3 years ago
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