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jonny [76]
3 years ago
13

{2x}^{2} + 14x + 24 " alt="f(x) = {2x}^{2} + 14x + 24 " align="absmiddle" class="latex-formula">
​
Mathematics
1 answer:
Naily [24]3 years ago
5 0

Answer:

Step-by-step explanation:

f(x) = 2x²  + 14x + 24

     = 2x² + 8x + 6x  + 6*4

      = 2x*(x + 4) + 6*(x + 4)

     = (x + 4)(2x + 6)

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For what value of mc009-1 is the function one-to-one?
exis [7]

Using the concept of an one-to-one function, it will be one-to-one for c = 13.

<h3>What is an one-to-one function?</h3>

A function is said to be one-to-one if each output is mapped to only one input.

In this problem, outputs 2, 5 and 11 have already been matched to inputs 1, 3 and 5, respectively, hence the output for input 6 has to be c = 13 for a one-to-one function.

More can be learned about one-to-one functions at brainly.com/question/10853542

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4 0
1 year ago
Given polynomials p, q, r, and s . q≠0 ,s≠0 and r≠0
kkurt [141]

Answer:

\frac{p}{q} \div \frac{r}{s} = \frac{ps}{qr}

Step-by-step explanation:

Given

\frac{p}{q} \div \frac{r}{s} =

Required

Solve

\frac{p}{q} \div \frac{r}{s} =

Turn division to multiplication

\frac{p}{q} \div \frac{r}{s} = \frac{p}{q} * \frac{s}{r}

\frac{p}{q} \div \frac{r}{s} = \frac{ps}{qr}

8 0
3 years ago
Write an equation to represent the following statement 29 is 6 more than K solve for K<br><br> K =
Lerok [7]

Answer:

<h2>23</h2>

Step-by-step explanation:

29 is 6 more than K

Let's create an equation

29 = 6 + k

Move variable to L.H.S and change its sign

Similarly, move constant to R.H.S and change its sign

- k = 6 - 29

Calculate

- k =  - 23

Change the sign on both sides of the equation

k = 23

Hope this helps..

Best regards!!

4 0
3 years ago
There are many toys in a kindergarten. The ratio of the number of dolls to the number of balls to the number of cars is 7:8:5. I
ANEK [815]

Answer:

Number of Dolls = 28.

Number of Balls = 32.

Number of Cars = 20.

Step-by-step explanation:

Given the ratio of the number of dolls to the number of balls to the number of cars is 7 : 8 : 5.

Suppose the highest common factor of the three numbers be 'X'.

Then, Number of Dolls = 7x

Number of Balls = 8x

Number of Cars = 5x

Given the total number of dolls, balls, and cars is 80.

It means 7x + 8x + 5x = 80.

20x = 80

x = 80/20 = 4.

So, Number of Dolls = 7*4 = 28.

Number of Balls = 8*4 = 32.

Number of Cars = 5*4 = 20.

8 0
3 years ago
Find the miing value in the ratio table. Then write the equivalent ratio. Plum 14 42 Grape 7 3 24 The equivalent ratio are 14 :
denis-greek [22]

The equivalent ratio is 8 : 4.

And the missing values are as follows 21, 6 and 48.

Complete table be,

Plum     14   42   6   48

Grape    7    21    3    24

Given, a ratio table

Plum     14   42   __   __

Grape    7    __    3    24

we have to find the missing values and the equivalent ratios.

in the first ratio,

Plum : Grape = 14 : 7 = 2 : 1

Now, in the second ratio,

2 : 1 = 42 : __

x = 21

Now, in the third ratio,

2 : 1 = __ : 3

x = 6

Now, in the forth ratio,

2 : 1 = __ : 24

x = 48

So, the equivalent ratio is 8 : 4.

And the missing values are as follows 21, 6 and 48.

Hence, the equivalent ratio is 8 : 4.

And the missing values are as follows 21, 6 and 48.

Complete table be,

Plum     14   42   6   48

Grape    7    21    3    24

Learn more about Ratios and Proportions here brainly.com/question/26974513

#SPJ4

4 0
1 year ago
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