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UNO [17]
2 years ago
14

Factor the quadratic equation of y= 4x^2 + 16x -48

Mathematics
1 answer:
vodka [1.7K]2 years ago
8 0

Answer:

y = 4(x+6)(x-2)

Step-by-step explanation:

y = 4x² + 16x - 48, factor out the 4

y = 4(x² + 4x - 12), find factors of 12

Factors of 12:

1*12, 2*6, 3*4; find a pair that sums to 4x or 4

6-2 = 4, since 12 is a negative number, a number in the factor must be negative, in this case, making 2 negative, would make 6-2 = 4

y = 4(x+6)(x-2)

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8(2n - 5) = 3(6n - 2)
joja [24]

Answer:

n=-17

Step-by-step explanation:

8(2n-5)=3(6n-2)

1) Distributive property

16x-40=18x-6

16x−40=18x−6

2) Subtract 16x16x from both sides.

-40=18x-6-16x

−40=18x−6−16x

3) Simplify 18x-6-16x18x−6−16x to 2x-62x−6.

-40=2x-6

−40=2x−6

4) Add 66 to both sides.

-40+6=2x

−40+6=2x

5) Simplify -40+6−40+6 to -34−34.

-34=2x

−34=2x

6) Divide both sides by 22.

-\frac{34}{2}=x

−

2

34

=x

7) Simplify \frac{34}{2}

2

34

to 17

−17=x

8) Switch sides.

x=−17

5 0
3 years ago
A burst of electromagnetic radiation has a frequency of 1 exahertz. One exahertz equals 10^12 megahertz. Each megahertz is equal
den301095 [7]

Answer:

The frequency of the burst of electromagnetic radiation which equals 1 exahertz = 10¹⁸ hertz.

Step-by-step explanation:

Since the frequency of the burst of electromagnetic radiation is 1 exahertz, and 1 exahertz = 10¹² megahertz. So, the frequency of radiation is 10¹² megahertz. Also 1 megahertz = 10⁶ hertz. So, 10¹² megahertz = 10¹² × 1 megahertz = 10¹² × 10⁶ hertz = 10¹² ⁺ ⁶ hertz = 10¹⁸ hertz.

So the frequency of the burst of electromagnetic radiation which equals 1 exahertz = 10¹⁸ hertz.

3 0
3 years ago
What is the surface area of a cylinder that is 5 centimeters high and has a diameter of 1.5 centimeters?
olchik [2.2K]

The surface area of cylinder is 8.625\pi cm^{2}, if the cylinder has 5 centimeters high and 1.5 cm of diameter.

Step-by-step explanation:

The given is,

          Cylinder has a 5 centimeters height

          Diameter of the cylinder is 1.5 centimeters

Step:1

          Formula for the surface area of cylinder is,

                     A=2\pi r h + 2\pi  r^{2}......................................(1)

          Where,

                   h - Height of cylinder

                   r - Radius of cylinder

        From the values of h and r,

                   r=\frac{d}{2}

                      = \frac{1.5}{2}

                   r  = 0.75 cm

       From the formula,

                      = ( 2 × \pi × 0.75 × 5 ) + ( 2 × \pi × 0.75^{2} )

                      = ( 7.5 \pi ) + ( 1.125 \pi )

                  A = 8.625\pi cm^{2}

Result:

        The surface area of cylinder is 8.625\pi cm^{2}, if the cylinder has 5 centimeters high and 1.5 cm of diameter.

3 0
3 years ago
A bee flies 6 feet per second directly to a flowerbed from its hive. The bee stays at the flowerbed for 11 minutes, and then fli
zhenek [66]

Did you ever get the answer

4 0
3 years ago
The utility bill shows that a household used 2,001 gallons of water in a 5day period what was the average amount of water used b
Anettt [7]
The average water used per day is 400.2
4 0
3 years ago
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