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Paul [167]
3 years ago
15

It takes four steps to factor 48 – 3y 4 completely. Using complete sentences and the appropriate vocabulary, explain each of the

four steps.
Mathematics
1 answer:
Nezavi [6.7K]3 years ago
8 0

Answer:

3(2 - y)(2 + y)(4 + y²)

Step-by-step explanation:

48 - 3y⁴

Take 3 common:

3(16 - y⁴)

16 is 4² and y⁴ is (y²)²

3(4² - (y²)²)

Using a² - b² = (a - b)(a + b)

3(4 - y²)(4 + y²)

Again, 4 = 2²

3(2² - y²)(4 + y²)

3(2 - y)(2 + y)(4 + y²)

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your friend says that the volume of a sphere with a radius r is four times the volume of a cone with radius r. when is this true
Ierofanga [76]
Volume of a sphere is given by the formula: V_{\circ}=\frac43\pi r^3

If we pull the 4 out front we have, V_{\circ}=4\left(\frac13\pi r^3\right).

Volume of a cone is given by the formula: V_{\triangle}=\frac{1}{3}\pi r^2\cdot h

Notice that if the height of the cone is equal to the radius, V_{\triangle}=\frac13\pi r^2\cdot r

then it's exactly what we see in our volume formula without the 4!
7 0
3 years ago
Lucy will rent a car for the weekend. She can choose one of two plans. The first plan has an initial fee of $53 and costs an add
Alchen [17]

Answer:

The amount driven would be 275, and the cost for both plans will be 77.75$

Step-by-step explanation:

make both equations

y=0.09x+53

y=0.13x+42

set them equal to each other and solve for x to get the distance

take that number and put it in one equation and solve for y to get the price of the plan for that value

6 0
2 years ago
Solve 15x+3y=9,10x+7y=-4
TiliK225 [7]

Answer:

x = 1, y = -2

Step-by-step explanation:

15x + 3y = 9 (1)

10x + 7y = -4 (2)

3 × (2) - 2 × (1)

3 × (2)

30x + 21y = -12 (3)

2 × (1)

30x + 6y = 18 (4)

(3) - (4)

15y = -30

y = -30 / 15

y = -2

sub y = -2 into (1)

15x + 3y = 9

15x + (3 × -2) = 9

15x - 6 = 9

15x = 9 + 6

15x = 15

x = 15 / 15

x = 1

4 0
3 years ago
1729 math problem which two pairs of numbers have cubes that add up to 1729
RoseWind [281]
Where Are The Two Pairs?/ Finish The Rest Of The Question So I Can Help
4 0
3 years ago
Evaluate j/4 when j=12
lilavasa [31]

Answer:

3

Step-by-step explanation:

\frac{j}{4} =  \frac{12}{4} = 3

4*3=12

3*4=12

12/4=3

12/3=4

Hope this helps ;) ❤❤❤

8 0
3 years ago
Read 2 more answers
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