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vampirchik [111]
3 years ago
7

Factor the difference of two cubes completely. x^3-64 can anyone verify this for me?

Mathematics
1 answer:
Zarrin [17]3 years ago
3 0

x^3-4^3 = (x-4)(x^2+4x+16)=(x-4)(x+4)(x+4)

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Alicia bought a notebook and several erasers at the student store. The graph shows the relationship between the total cost of he
melomori [17]
<h3><u>Answer:</u></h3>

Option: C is the correct answer.

$ 1.50 is the cost of 1 eraser.

<h3><u>Step-by-step explanation:</u></h3>

Alicia bought a notebook and several erasers at the student store.

Let the cost of 1 eraser=$ x.

Now from the scatter plot we could see that when Alicia did not bought any eraser then her total cost =$ 2.

That means cost of a notebook=$ 2.

Now when she buys a notebook and two eraser then she pays=$ 5.

i.e.

Total cost=cost of notebook+ 2× cost of 1 eraser

Total cost=cost of notebook+2×x

i.e.

5=2+2x

⇒ 2x=5-2

⇒ 2x=3

⇒ x=1.5

Hence, cost of one eraser is:

$ 1.50

6 0
4 years ago
Read 2 more answers
3) Solve each equation using the quadratic formula. Show<br> a. x2 – 3x – 10 = 0
Naya [18.7K]

Answer:

<h2>x = -2 or x = 5</h2>

Step-by-step explanation:

The quadratic formula of a quadratic equation

ax^2+bx+c=0\\\\\text{If}\ b^2-4ac>0\ \text{then the equation has two solutions}\ x=\dfrac{-b\pm\sqrt{b^2-4ac}}{2a}

\text{If}\ b^2-4ac=0\ \text{then the equation has one solution}\ x=\dfrac{-b}{2a}

\text{If}\ b^2-4ac

We have:

x^2-3x-10=0\to a=1,\ b=-3,\ c=-10\\\\b^2-4ac=(-3)^2-4(1)(-10)=9+40=49>0\\\\x=\dfrac{-(-3)\pm\sqrt{49}}{2(1)}=\dfrac{3\pm7}{2}\\\\x=\dfrac{3-7}{2}=\dfrac{-4}{2}=-2\\or\\x=\dfrac{3+7}{2}=\dfrac{10}{2}=5

5 0
3 years ago
Find the measures of the indicated angles in circle O. Which statement is NOT true? (The figure is not drawn to scale.)
Goshia [24]

Answer:

c = 73

Step-by-step explanation:

We know an intercepted angle from 2 point in an arc of a circle (at the other circumference' side) is HALF of the angle measure of the arc. And if the intercepted angle is at the CENTER, its measure is SAME as the measure of the intercepted arc.

The angle 53 is given only, so we look from the 2 points in the arc of this angle. We can see that a also originates from this arc, so a is equal to 53.

B also originates from this arc, but at the center, so b = DOUBLE of 53 = 106. b = 106

b and c are supplementary (they fall in a line and thus add up to 180 degrees). So

106 + c = 180

c = 180 - 106 = 74

<em>Looking at the answer choices, c is given as 73, which is wrong! Hence, </em><em>last statement is not true.</em>

4 0
3 years ago
There are 31 coins of dimes and quarters. If the number of dimes is 5 more than the number of quarters, how many quarters are th
emmasim [6.3K]

Answer:

<u>13 Quarters and 18 Dimes</u>

Step-by-step explanation:

Let D and Q stand for the numbers of Dimes(D) and Quarters(Q).  Give x and y a break, and make it easier to remember which is which.

D + Q = 31

D = Q + 5

Therefore:

D + Q = 31

(Q+5) + Q = 31

2Q + 5 = 31

2Q = 26

<u>Q = 13</u>

<u>Then D = (13+5) or 18</u>

================

Check:

D + Q = 31 ?

18 + 13 = 31  <u>YES</u>

----------------------

D = Q + 5 ?

18 = 13 + 5   <u>YES</u>

5 0
2 years ago
2/5<br>of an hour (in minutes)?​
Lena [83]

To convert hour into minute: (No. of hour × 60) minutes

So, 2/5 hours = (2/5 × 60) minutes = (120/5) minutes = 24 minutes

7 0
3 years ago
Read 2 more answers
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