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3 years ago

8x+72.8=5x+84.5 solve for x

Mathematics

1 answer:

tigry1 [53]3 years ago

7 0

8x+72.8=5x+84.5

8x-5x = 84.5-72.8

3x = 11.7

x = 3.9

x = {3.9}

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bija089 [108]

Y <_ -2x+4
(<_ is less than or equal btw)

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3 years ago

The perimeter of a triangle with two equal sides is 71 cm. If its base were lengthened by 6 cm and each leg were shortened by 4

Aleks04 [339]

Your answer would be 17cm.

Because two sides are equal, we can label these two sides x, and the base y, and since the perimeter is 71cm, we can then write the equation 2x + y = 71.

Then we apply the changes made to our sides, so the two equal sides would become x - 4, and the base would become y + 6. We can now set these equal to each other as it states that all sides are equal when this change occurs.

Now we have a pair of simultaneous equations that we can solve with substitution firstly by rearranging the equation x - 4 = y + 6 to get x:

x - 4 = y + 6

+ 4

x = y + 10

Now we can substitute (y + 10) as x into the equation 2x + y = 71 :

2(y + 10) + y = 71

2y + 20 + y = 71

3y + 20 = 71

- 20

3y = 51

÷ 3

y = 17

I hope this helps!

7 0

3 years ago

A ball is thrown directly upward from a height of 5 ft with an initial velocity of 24 ft/sec. The function s(t) = -16t^2+24t+5 g

Aneli [31]

Answer:

The maximum height is 14 feet and it will take 0.75 s to reach there.

Step-by-step explanation:

A ball is thrown directly upward from a height of 5 ft with an initial velocity of 24 ft/sec.

The function is :

$s(t) = -16t^2+24t+5$ ....(1)

It gives the height of the ball, in feet, t seconds after it has been thrown.

For maximum height,

s'(t) = 0

So,

-32t+24 = 0

t = 0.75 s

It will take 0.75 s to reach the maximum height.

Put t = 0.75 s in equation (1). So,

$s(0.75) = -16(0.75)^2+24(0.75)+5\\\\s=14\ feet$

So, the maximum height is 14 feet and it will take 0.75 s to reach there.

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3 years ago

Is 5√2 rational or irrational

Allushta [10]

First solve it. It will be 7.071.......

That will be an irrational number because it never ends.

5 0

3 years ago

Describe how the graph of the function g(x) = 3x2 -2 is related to the graph of the function f(x) = x^2

jonny [76]

Answer:

See below

Step-by-step explanation:

ƒ(x) = x²; g(x) = 3x² - 2

In g(x),

The coefficient of x² is greater than 1, so the graph is narrowed about the axis of symmetry.
The constant term is -2, so the graph is shifted down two units.

In the figure, ƒ(x) is the blue graph and g(x) is the red graph.

6 0

4 years ago