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Aneli [31]
3 years ago
15

What is the first step in writing f(x) = 3x2 + 6x – 8 in vertex form?

Mathematics
2 answers:
DedPeter [7]3 years ago
7 0

Answer:

Factor out 3 from the first two terms.

Step-by-step explanation:

kkurt [141]3 years ago
5 0
The first step in writing f(x) = 3x² + 6x - 8 in vertex form is

E. Factor out 3 from the first two terms.

f(x) = 3x² + 6x - 8
f(x) = 3(x² + 2x) - 8
f(x) + 8 = 3(x² + 2x + __)
f(x) + 8 + 1 = 3(x² + 2x + 1)
f(x) + 9 = 3(x+1)²
f(x) = 3(x+1)² - 9

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Please factor...<br> (-14xy - 28y) + 6x^2 + 12xy)
guajiro [1.7K]
(-14x x y - 28y) + (6x^2 + 12x x y)

I hope this is right,
xXharleyquinn04Xx
5 0
3 years ago
10 coupons are given to 20 shoppers in a store. Each shopper can receive at most one coupon. 5 of the shoppers are women and 15
zmey [24]

Answer:

\, {20 \choose 10} - {15 \choose 10}

Step-by-step explanation:

We can find the total amount of ways at least a woman receives a coupon by calculating the total amount of possibilities ot distribute the coupon and substract it to the total amount of possibilities to distribute 10 coupons to the 15 men (this is the complementary case that at least a woman receives a cupon).

- The total amount of possibilities to distribute the coupons among the 20 shoppers is equivalent to the total amount of ways to pick a subset of 10 elements from a set of 20. This is the combinatiorial number of 20 with 10, in other words, \, {20 \choose 10} = \frac{20!}{10!10!} .

- To calculate the total amount of possibilities to distribute the coupons among the 15 men, we need to make the same computation we made above but with a set of 15 elements instead of 20. This gives us  \, {15 \choose 10} = \frac{15!}{10!5!} possibilities.

Therefore, we have \, {20 \choose 10} - {15 \choose 10} possibilities to distribute the coupons so that at least one woman receives a coupon.

I hope that works for you!

3 0
2 years ago
Solve for x<br><img src="https://tex.z-dn.net/?f=%20%5Csqrt%7Bx%20-%202%7D%20%20%3D%200" id="TexFormula1" title=" \sqrt{x - 2}
Firdavs [7]

To solve for x, you need to isolate/get x by itself in the equation:

\sqrt{x-2} =0       Square ² both sides to get rid of the square root √

(\sqrt{x-2} )^2=(0)^2

x - 2 = 0           Add 2 on both sides

x - 2 + 2 = 0 + 2

x = 2

3 0
3 years ago
What percent of the values are between 10 and 30? Round to the nearest tenth of a percent if necessary.
skad [1K]

Answer: 33.3%

Step-by-step explanation: I did this on saavas. also for part b the answer is 32.5.

6 0
2 years ago
2- Guillermo envasa 355 ml de agua
Lapatulllka [165]

Answer:

83,749 bottles

Step-by-step explanation:

Each bottle contain = 355ml

Total water need to pack = 29,730,895 ml

So, we can calculate the number of bottles by using following formula,

Number of bottles required = Total water ÷ Each bottle contain

by putting the value, we get

Number of bottles required = 29,730,895 ÷ 355

= 83,749

Hence, total number of bottles required is 83,749.

7 0
3 years ago
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