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anzhelika [568]
3 years ago
7

What is the answer please -16-1x=-4x+8

Mathematics
1 answer:
Alisiya [41]3 years ago
3 0

-16-1x = -4x +8

add 1x to each side

-16 = -3x +8

subtract 8 from each side

-24 = -3x

divide both sides by -3

x = -24 / -3 = 8

x = 8

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Determine the amplitude or period as requested . Amplitude of y = - 1/5 * sin x a - 1/5 1/5 b 5 d. pi/5
Brrunno [24]

Answer:

The amplitude is 1/5

Step-by-step explanation:

Given

y = -\frac{1}{5}\sin(x)

Required

Determine the amplitude

The general cosine function is:

y = A\sin(k(x + c)) +d

Where

Amplitude = |A|

Compare y = A\sin(k(x + c)) +d and y = -\frac{1}{5}\sin(x)

A = -\frac{1}{5}

So:

Amplitude = |-\frac{1}{5}|

Amplitude = \frac{1}{5}

4 0
2 years ago
Solve x^2+4x+8. What is the vertex?
LenKa [72]

Answer:

(-2,4)

Step-by-step explanation:

Well to start with there is a vertex formula which is -\frac{b}{2a} =h\\, f(h)

Your initial equation is x^2+4x+8 where ax^2+bx+c. So you would plug in your numbers -\frac{4}{2(1)}=-\frac{4}{2} =-2 we know know that h=-2 so plug in h in f(-2) which would be (-2)^2+4(-2)+8 = 4-8+8 = 4 which would make the vertex (-2,4)

4 0
3 years ago
(Recall, to solve |u| = c, one must solve u = c and u = −c.)<br> Solve: |3x-1| +2=8
11Alexandr11 [23.1K]

Answer:

The answer is 5/3, 1 2/3, and 1.67

Step-by-step explanation:

The answer to this problem is simple as everything between the two lines will come out to be a positive. So the equation will end up coming out to be 3x+1+2=8.

Now we add the 1 and 2....

3x+3=8

To make this problems simple we can subtract the 3 from the left side and do the same on the right side making the equation say...

3x=5

Now we can make it easier to solve but it will not be a whole number. We now divide 3 from the left and right side leaving us with....

x = 5/3

So this answer could be 5/3 , 1 2/3, and 1.67

4 0
1 year ago
Review the graph of function g(x). On a coordinate plane, y = g (x) has a straight line connecting point (negative 5, 4) and (ne
yan [13]

Answer:

Option (1)

Step-by-step explanation:

From the graph attached,

Points connecting the graph 'g' are (-5, 4), (-2, 1), (0, -1), (4, -2).

Since, rule to get the points lying on the graph of the inverse of the given function is,

(x, y) → (y, x)

If (x, y) is a point on function 'g' then (y, x) will lie on the inverse of the given function.

By the given rule, points on g^{-1}(x) will be,

(4, -5), (1, -2), (-1, 0), (-2, 4)

Therefore, value of the inverse function at x = 4 will be,

y = g^{-1}(4) = -5

Option (1) will be the correct option.

7 0
3 years ago
Read 2 more answers
The Williams family and the Robinson family each used their sprinklers last summer. The water output rate for the Williams famil
lisov135 [29]

Answer

The Williams family used their sprinkler for 40 hours.

The Robinson family used their sprinklers for 35 hours.

Explanation

Let the number of hours that the Williams family used their sprinklers be x hours

Let the number of hours that the Robinson family used their sprinklers be y hours

They both use their sprinklers for a combined total of 75 hours

x + y = 75 (equation 1)

And this resulted in a combined total water output of 2225 L

If the Williams used their 25 L per hour sprinkler for x hours,

Total water output for the Williams family = (25) (x) = (25x) L

If the Robinson used their 35 L per hour sprinkler for y hours,

Total water output for the Robinson family = (35) (y) = (35y) L

But, their combined total water output is 2225 L

25x + 35y = 2225 (equation 2)

x + y = 75

25x + 35y = 2225

On solving this simultaneous equation, we obtain that

x = 40 hours

y = 35 hours

Hope this Helps!!!

4 0
1 year ago
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