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3 years ago

Which of the following sentences could not be used to represent the equation 7/2= 14?

Mathematics

1 answer:

yawa3891 [41]3 years ago

7 0

Answer:

The third sentence is wrong.

Step-by-step explanation:

It is not 2 divided by a number equals 14. 7 is divided by a number and equals 14.

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ILL MARK BRAINLIEST ASAP IF CORRECT Write the equation of the quadratic function with roots -9 and and -3 and a vertex at (-6, -

Oduvanchick [21]

Answer:

see explanation

Step-by-step explanation:

The equation of a parabola in vertex form is

y = a(x - h)² + k

where (h. k) are the coordinates of the vertex and a is a multiplier

here (h, k) = (- 6, - 1), thus

y = a(x + 6)² - 1

To find a substitute one of the roots into the equation

Using (- 3, 0), then

0 = a(- 3 +6)² - 1

0 = 9a - 1 ( add 1 to both sides )

1 = 9a ( divide both sides by 9 )

a = $\frac{1}{9}$ , thus

y = $\frac{1}{9}$ (x + 6)² - 1 ← in vertex form

Expand factor and simplify

y = $\frac{1}{9}$ (x² + 12x + 36) - 1 ← distribute

y = $\frac{1}{9}$ x² + $\frac{4}{3}$ x + 4 - 1

= $\frac{1}{9}$ x² + $\frac{4}{3}$ x + 3 ← in standard form

8 0

3 years ago

For the function f(x) = (x − 2)2 + 4, identify the vertex, domain, and range.

DanielleElmas [232]

I think the correct answer from the choices listed above is option D. For the function f(x) = (x − 2)2 + 4, the <span>vertex is (2, 4), the domain is all real numbers, and the range is y ≥ 4. The domain is all x-values available for the function and the range are the y values and in this case it should be greater than or equal to 4. Hope this answers the question.</span>

5 0

3 years ago

Read 2 more answers

Please help me i give brainliest

bazaltina [42]

Answer:

Step-by-step explanation:

1. 120+21=141

2. 21-3=18

3. 7x-21

4. 20+x

5. 45+4x

6. 40+5c

7. 20+22r+26s

It will be nice if you give me brainliest

Good luck!

4 0

3 years ago

8) Pick the two best options below for the solutions of this function:

Digiron [165]

A will be it I toook the test your wxlimensir have a good day

8 0

3 years ago

7) PG & E have 12 linemen working Tuesdays in Placer County. They work in groups of 8. How many

BabaBlast [244]

Part A

Since order matters, we use the nPr permutation formula

We use n = 12 and r = 8

$_{n}P_{r} = \frac{n!}{(n-r)!}\\\\_{12}P_{8} = \frac{12!}{(12-8)!}\\\\_{12}P_{8} = \frac{12!}{4!}\\\\_{12}P_{8} = \frac{12*11*10*9*8*7*6*5*4*3*2*1}{4*3*2*1}\\\\_{12}P_{8} = \frac{479,001,600}{24}\\\\_{12}P_{8} = 19,958,400\\\\$

There are a little under 20 million different permutations.

<h3>Answer: 19,958,400</h3>

Side note: your teacher may not want you to type in the commas

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

Part B

In this case, order doesn't matter. We could use the nCr combination formula like so.

$_{n}C_{r} = \frac{n!}{r!(n-r)!}\\\\_{12}C_{8} = \frac{12!}{8!(12-8)!}\\\\_{12}C_{8} = \frac{12!}{4!}\\\\_{12}C_{8} = \frac{12*11*10*9*8!}{8!*4!}\\\\_{12}C_{8} = \frac{12*11*10*9}{4!} \ \text{ ... pair of 8! terms cancel}\\\\_{12}C_{8} = \frac{12*11*10*9}{4*3*2*1}\\\\_{12}C_{8} = \frac{11880}{24}\\\\_{12}C_{8} = 495\\\\$

We have a much smaller number compared to last time because order isn't important. Consider a group of 3 people {A,B,C} and this group is identical to {C,B,A}. This idea applies to groups of any number.

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

Another way we can compute the answer is to use the result from part A.

Recall that:

nCr = (nPr)/(r!)

If we know the permutation value, we simply divide by r! to get the combination value. In this case, we divide by r! = 8! = 8*7*6*5*4*3*2*1 = 40,320

So,

$_{n}C_{r} = \frac{_{n}P_{r}}{r!}\\\\_{12}C_{8} = \frac{_{12}P_{8}}{8!}\\\\_{12}C_{8} = \frac{19,958,400}{40,320}\\\\_{12}C_{8} = 495\\\\$

Not only is this shortcut fairly handy, but it's also interesting to see how the concepts of combinations and permutations connect to one another.

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

<h3>Answer: 495</h3>

5 0

3 years ago