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3 years ago

What is the answer to (8x+5)^2=63? I've been stuck on this problem for about 10 minutes now.

1 answer:

8 0

When the equation is squared, you have to foil (8x+5), so it becomes
(8x+5)(8x+5)=63

then you use the distributive property, so it become 64x^2 +40x +40x +25, and you simplify that into 64x^2+80x+25=63

next you subtract 63 from the left, sso it becomes 64x^2+80x-38=0
then you use the quadratic formula -b+/- (root b^2-4ac )/2a to solve for the zeros or x-values

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Reduce the rate 100miles per 4 hours to its unit rate and write the miles portion of your answer in the space provided

Reika [66]

The unit rate would be number of miles per hour ( 1 hour).

Divide the total number of miles by the total number of hours:

100 miles / 4 hours = 25 miles per hour.

The unit rate is 25 miles.

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3 years ago

At the beginning of an environmental study, a forest covered an area of 1500 km2 . Since then, this area has decreased by 9.8% e

fredd [130]

Answer:

$A(t)=(0.902)^t \cdot 1500$ $[km^2]$

Step-by-step explanation:

In this problem, the initial area of the forest at time t = 0 is

$A_0 = 1500 km^2$

After every year, the area of the forest decreases by 9.8%: this means that the area of the forest every year is (100%-9.8%=90.2%) of the area of the previous year.

So for instance, after 1 year, the area is

$A_1 = A_0 \cdot \frac{90.2}{100}=0.902 A_0$

After 2 years,

$A_2=0.902 A_1 = 0.902(0.902A_0)=(0.902)^2 A_0$

And so on. So, after t years, the area of the forest will be

$A(t)=(0.902)^t A_0$

And by substituting the value of A0, we can find an explicit expression:

$A(t)=(0.902)^t \cdot 1500$ $[km^2]$

8 0

4 years ago

Find the value of something <br> 11/12=something/48

Thepotemich [5.8K]

12x4=48
11x4=44
44/48

6 0

3 years ago

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Solve for both x and y value for each angle please

olga_2 [115]

X = 25, y = 14.

This is possible to solve because the vertical angles (7y and 5y + 28 ; 3x +7 and 4x - 18) are equal to each other. To solve for x, just set the two x equations equal to each other. The same is done for y with the y equations.

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3 years ago

What's 1/2 x 3 1/2, I'm only in 6th grade so I don't know much, if you respond with the correct answer, thank you a lot.

andrezito [222]

Answer:

1 75/100 or 3/4

Step-by-step explanation:

if you simplify 1 75/100 its 3/4

8 0

3 years ago

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