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3 years ago

Solve 2x^2+3x=-8

Mathematics

1 answer:

Nimfa-mama [501]3 years ago

3 0

yes or no I am not very sure

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PLZ HELP ME RIGHT NOW! <br> Type the correct answer in each box.

vampirchik [111]

Answer:

fragrance A $26

fragrance B $24

Fragrance A has the greater unit rate

Step-by-step explanation:

To find the price of fragrance A , take the price and divide by the number of bottle

$78/3 bottles = $26 per bottle

To find the price of fragrance A , we can look at the graph and find the price for 1 bottle on the x axis and go up until we hit the red line. The value of y is 24 dollars

8 0

3 years ago

If abcde is reflected over the x axis and then translated 3 units left, what are the new coordinates C? A. (-2, 2) B (1, 2) C (4

krek1111 [17]

Answer:

A) (-5,-2) B) (-2,-2) C) (1,-2) D) (-7,-2)

Step-by-step explanation:

5 0

3 years ago

A shop sells bag of peanuts for two dollars and a bag of walnuts for five dollars at nine bags of purchase for total cost of $36

Licemer1 [7]

6 bags of walnuts and 3 bags of peanuts

6 x 5 = 30
2 x 3 = 6
30 + 6 = $36

6 0

3 years ago

A 16-mile race is made up of 3 equal sections. Which equation shows how to find the number of miles in each section?

n200080 [17]

16 divided by 3 =5.33

3 0

4 years ago

One number is 4 times another number. The sum of their reciprocals is 5. What are the two numbers?

ivann1987 [24]

Answer:

The two number are:

$y=1,\:x=\frac{1}{4}$

Step-by-step explanation:

Let 'x' be the first number

let 'y' be the second number

Given that one number is 4 times another number, the first equation is

$y = 4x$

Next, the sum of their reciprocals is 5, so

$\frac{1}{x}+\frac{1}{y}=5$

Now, we have the system of equations

$\begin{bmatrix}y=4x\\ \frac{1}{x}+\frac{1}{y}=5\end{bmatrix}$

Let us solve the system of equations

$\begin{bmatrix}y=4x\\ \frac{1}{x}+\frac{1}{y}=5\end{bmatrix}$

substitute y = 4x in the equation $\frac{1}{x}+\frac{1}{y}=5$

$\frac{1}{x}+\frac{1}{4x}=5$

Least Common Multiple of x, 4x: 4x

Adjust fractions based on L.C.M

$\frac{4}{4x}+\frac{1}{4x}=5$

$\frac{4+1}{4x}=5$

$\:\frac{5}{4x}=5$

Multiply both sides by 4x

$\frac{5}{4x}\cdot \:4x=5\cdot \:4x$

Simplify

$5=20x$

switch sides

$20x=5$

Divide both sides by 20

$\frac{20x}{20}=\frac{5}{20}$

Simplify

$x=\frac{1}{4}$

For y = 4x, substitute $x=\frac{1}{4}$

$y = 4x$

$y=4\cdot \frac{1}{4}$

$y=1$

Therefore, the two number are:

$y=1,\:x=\frac{1}{4}$

<u>Verification:</u>

$\frac{1}{x}+\frac{1}{y}=5$

substituting $y=1,\:x=\frac{1}{4}$

$\:\frac{1}{\frac{1}{4}}+\frac{1}{1}=\:5\:\:$

$4+1=5$

$5 = 5$

L.H.S = R.H.S

and

$y = 4x$

substituting $y=1,\:x=\frac{1}{4}$

$y\:=\:4\left(\frac{1}{4}\right)$

$y=1$

8 0

3 years ago