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morpeh [17]
3 years ago
8

The expression x + 0.25x can be used to determine a 25% increase in the number of blog views from last month to this month. What

expression shows this another way?
Mathematics
1 answer:
Drupady [299]3 years ago
8 0

Answer:

1.25x

Step-by-step explanation:

Given that :

25% Increase in number of blog views can be expressed as (x + 0.25x)

Another way to make this representation is :

Total number of blog views + 25% of total

Total should add up to 100%

Let number of views = x

Hence,

(100% + 25%) of x

125% of x

125%x

= 1.25x

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Find f^-1(x) <br><br> A<br> B<br> C<br> D
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<u><em>Answer:</em></u>

D. f⁻¹(x) = 2x + 10

<u><em>Explanation:</em></u>

<u>The given is:</u>

f(x) = \frac{1}{2}x - 5

<u>To find the inverse, follow the below procedures:</u>

<u>1- Convert f(x) to y. </u>

<u>This will give:</u>

y = \frac{1}{2} x - 5

<u>2- Swap the x and y variables.</u>

<u>This will give:</u>

x = \frac{1}{2}y - 5

<u>3- Solve for y.</u>

<u>This will give:</u>

x = \frac{1}{2}y - 5\\ \\ \frac{1}{2}y = x+5\\ \\ y = 2x+10

<u>4- Replace the y in the above step with f⁻¹(x).</u>

<u>This will give us:</u>

f⁻¹(x) = 2x + 10

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3 years ago
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What is the solution to this equation?<br> 3x- x+8+5x-2=10
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If the largest angle of a triangle is 120° and it is included between sides of 1.5 and 0.5, then (to the nearest tenth) the larg
12345 [234]

Answer:

1.8 units.

Step-by-step explanation:

The questions which involve calculating the angles and the sides of a triangle either require the sine rule or the cosine rule. In this question, the two sides that are given are adjacent to each other and the given angle is the included angle. This means that the angle is formed by the intersection of the two lines. Therefore, cosine rule will be used to calculate the length of the largest side of the triangle. The cosine rule is:

b^2 = a^2 + c^2 - 2*a*c*cos(B).

The question specifies that a=0.5, B=120°, and c=1.5. Plugging in the values:

b^2 = 0.5^2 + 1.5^2 - 2(0.5)(1.5)*cos(120°).

Simplifying gives:

b^2 = 3.25.

Taking square root on the both sides gives b = 1.8 (rounded to the nearest tenth).

This means that the length of the third side is 1.8 units!!!

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