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Over [174]
3 years ago
5

B) Solve x + 5x – 14 = 0

Mathematics
2 answers:
melomori [17]3 years ago
6 0

Answer:

2 1/3

Step-by-step explanation:

Step 1:

x + 5x - 14 = 0      Equation

Step 2:

6x - 14 = 0      Combine Like Terms

Step 3:

6x = 14      Add 14 on both sides

Step 4:

x = 14 ÷ 6        Divide

Answer:

x =  2 1/3

Hope This Helps :)

Nastasia [14]3 years ago
4 0
5x+x=14
14/6= 2.3
x=2.3
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If f(x) = 3^2 + 10x and g(x) = 2x-4, find (f-g)(x).
Marat540 [252]

What we know:      

f(x)=3^2+10x\\g(x)=2x-4                

(Also, 3^2=9)

What we need to solve:

(f-g)(x)             (This is equal to f(x)-g(x))

How you have to subtract f(x) with g(x) to get:

(f-g)(x) = f(x)-g(x) = 9+10x+2x-4 = 12x+5

Thus, the answer would be:

12x+5

3 0
2 years ago
What is the the value of ∣9∣
xxTIMURxx [149]

Hey there! I'm happy to help!

This symbol is an <u>absolute value</u> symbol. It means that we are looking for that number's distance from 0. There is no such thing as a negative distance; the distances are all positive, so both ∣9∣ and ∣-9∣ have a value of 9.

Have a wonderful day and keep on learning! :D

7 0
2 years ago
Convert the Cartesian equation (x 2 + y 2)2 = 4(x 2 - y 2) to a polar equation.
SashulF [63]

<u>ANSWER</u>

{r}^{2}  = 4  \cos2\theta

<u>EXPLANATION</u>

The Cartesian equation is

{( {x}^{2}  +  {y}^{2} )}^{2}  = 4( {x}^{2} -  {y}^{2}  )

We substitute

x = r \cos( \theta)

y = r \sin( \theta)

and

{x}^{2}  +  {y}^{2}  =  {r}^{2}

This implies that

{( {r}^{2} )}^{2}  = 4(( { r \cos\theta)  }^{2} -  {(r \sin\theta) }^{2}  )

Let us evaluate the exponents to get:

{r}^{4}  = 4({  {r}^{2} \cos^{2}\theta } -   {r}^{2}  \sin^{2}\theta)

Factor the RHS to get:

{r}^{4}  = 4{r}^{2} ({   \cos^{2}\theta } -   \sin^{2}\theta)

Divide through by r²

{r}^{2}  = 4 ({   \cos^{2}\theta } -   \sin^{2}\theta)

Apply the double angle identity

\cos^{2}\theta -\sin^{2}\theta=  \cos(2 \theta)

The polar equation then becomes:

{r}^{2}  = 4  \cos2\theta

7 0
3 years ago
An electronics store receives a shipment of 35 graphing calculators including 7 that are defective. eight calculators are chosen
spin [16.1K]
There are 23535820 combinations that can be made of 35 calculators taken 8 at a time.

_{35}C_8=\frac{35!}{8!27!}=23535820
8 0
3 years ago
Solve for x. I need help with this problem. <br><br>​
Advocard [28]

Answer:

x = 9

Step-by-step explanation:

Rule: the two interior angles F and E when added, equal <FGH.

so

6x + 16 + 60 = 13x + 13  Combine the terms on the left.

6x + 76 = 13x + 13          Subtract 13 from both sides.

6x + 76-13 = 13x             Combine

6x + 63 = 13x                  Subtract 6x from both sides.

63 = 7x                            Divide by 7

63/7 = x

x = 9

7 0
3 years ago
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