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Vladimir79 [104]
3 years ago
12

68. Solve: 46x - 10) = 8x + 40A 0B.5/2inac. 23D. 5​

Mathematics
1 answer:
Artist 52 [7]3 years ago
3 0

Solve: 4(6x - 10) = 8x + 40

A 0

B.5/2

c. 23

D. 5​

<h3><u>Answer:</u></h3>

Option D

The solution to given equation is x = 5

<h3><u>Solution:</u></h3>

Given that we have to solve the given equation

4(6x - 10) = 8x + 40

Let us solve the above expression and find value of "x"

Multiplying 4 with terms inside bracket in L.H.S we get,

24x - 40 = 8x + 40

Move the variables to one side and constant terms to other side

24x - 8x = 40 + 40

Combine the like terms,

16x = 80

x = \frac{80}{16} = 5

Thus solution to given equation is x = 5

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An icicle drips at a rate that can be represented by the function f(x) = −x2 + 8x − 7, where 0 ≤ x ≤ 10 and x is the number of h
mart [117]

Find when f(x) = 0. By factorizing, we have

-x² + 8x - 7 = - (x - 7) (x - 1) = 0

so either x - 7 = 0 or x - 1 = 0, or simply x = 1 or x = 7.

Split the domain into three intervals, and check the sign of f(x) over each interval at some test point in the interval. The sign will tell you when the icicle is dripping (positive) or not (negative).

• [0, 1) : at x = 0, we have f(0) = -7 < 0

• (1, 7) : at x = 2, we have f(2) = 5 > 0

• (7, 10] : at x = 8, we have f(8) = -7 < 0

This tells us that the icicle is not dripping when 0 ≤ x < 1, begins to drip when x = 1, drips for the duration of 1 < x < 7, stops dripping when x = 7, and keeps on not dripping when 7 < x ≤ 10.

3 0
2 years ago
-5+i/2i how do I break this down?​
ira [324]

Answer:

<h3>i2 = -1</h3>

Step-by-step explanation:

5i ⋅i⋅(−2i)= −

10 ⋅ i2 ⋅ i= − 10 ⋅ (−1) ⋅ i = 10i

7 0
3 years ago
Tell whether the angles are complementary or supplementary. Then find the value of x
RSB [31]

Answer:

Complementary, x=60.

Step-by-step explanation:

The angles are complementary because they add up to 90 degrees, opposing supplementary angles, which add up to 180 degrees. To find x, we need to form an equation to represent the problem. We know the two angles add up to 90 degrees, so we can use that to make the equation.

(x-30)+x=90  Simplify.

x-30+x=90

2x-30=90      Add 30 to both sides.

  <u>+30 +30</u>

2x=120          Divide both sides by 2.

x=60

We can also find the value of the angles by plugging in x.

Angle 1: (x-30)

             (60-30)

             30 degrees

Angle 2: x

              60 degrees

(You can also notice that the two angles add up to 90 degrees, which is another way of telling that the angles are complementary.)

Hope this helps and have an amazing day!! C:

5 0
3 years ago
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