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tatiyna
3 years ago
8

How do you express x squared - 14x + 44 in the form (x - a)squared + b?

Mathematics
1 answer:
OlgaM077 [116]3 years ago
7 0
x^2-14x+44=\\
x^2-14x+49-5=\\
(x-7)^2-5
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The World Issues club has decided to donate 60% of all their fundraising activities this year to Stephen Lewis
andreyandreev [35.5K]

Answer:

a. Let the variable be x for the fundraising activities and M as the revenue for foundation.

b. M =0.60x

c. $43.2

d. $1416.67

Step-by-step explanation:

Given that:

The World Issues club donates 60% of the total of their fundraising activities.

Answer a.

Let us choose the variable x to represent the money earned during fundraising activities and M for the revenue generated for foundation.

Answer b.

Foundation will receive 60% of the total of the fundraising activities.

Equation to determine the money that will be received by foundation:

M = 60\%\ of\ x\\OR\\M = 0.6x

Answer c.

Given that x = $72, M = ?

Putting the value of x in the equation above:

M = 0.6 \times 72\\\Rightarrow \$43.2

Answer d.

Given that M = $850, x = ?

Putting the value of M in the equation above to find x:

850= 0.6 \times x\\\Rightarrow x = \dfrac{850}{0.6}\\\Rightarrow x = \$ 1416.67

So, the answers are:

a. Let the variable be x for the fundraising activities and M as the revenue for foundation.

b. M =0.60x

c. $43.2

d. $1416.67

5 0
3 years ago
Find the area of each sector shown (the shaded section)
mihalych1998 [28]

Answer:

The area of the sector (shaded section) is 29.51 m^{2}.

Step-by-step explanation:

Area of a sector = (θ ÷ 360) \pir^{2}

where θ is the central angle of the sector, and r is the radius of the circle.

From the diagram give, diameter of the circle is 26 m. So that;

r = \frac{diameter}{2}

 = \frac{26}{2} = 13 m

θ = 360 - (180 + 160)

  = 360 - 340

  = 20^{o}

Thus,

area of the given sector = \frac{20}{360} x \frac{22}{7} x (13)^{2}

                                        = \frac{20}{360} x x \frac{22}{7} x 169

                                         = 29.5079

The area of the sector (shaded section) is 29.51 m^{2}.

4 0
3 years ago
A group bought 12 movie tickets that cost a total of $120. The group also bought 3 large drinks and 2 large popcorn.
Agata [3.3K]

Answer:

10 student tickets were bought.

5 0
3 years ago
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Could u help me with this I got stuck and I don’t know how to finish
NikAS [45]

Answer:

10

Step-by-step explanation:

The IQR is the width of the box of the box plot. The box runs from 20 to 30, so its width is 10.

5 0
3 years ago
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The work of a student to solve a set of equations is shown:
lesantik [10]

<span>If you would like to know in which step did the student first make an error, you can find this using the following steps:

y = 4 - 2z
4y = 2 - 4z
________________
-4(y) = -4(4 - 2z)
</span>4y = 2 - 4z<span>
________________
-4y = -16 + 8z ... Step 2
</span><span>4y = 2 - 4z</span><span>
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0 = -16 + 8z + 2 - 4z</span>

<span>16 - 2 = 4z</span>

<span>14 = 4z</span>

<span>z = 14/4 = 7/2</span>

<span>
The correct result would be: Student made an error in Step 2.</span>

5 0
4 years ago
Read 2 more answers
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