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Elena L [17]
2 years ago
13

Write the quadratic equation whose roots are 3 and -5, and whose leading coefficient is 2.

Mathematics
1 answer:
Rainbow [258]2 years ago
5 0

\begin{cases} x=3\implies &x-3=0\\ x=-5\implies &x+5=0 \end{cases}\qquad \implies\qquad a(x-3)(x+5)=\stackrel{0}{y} \\\\\\ a(\stackrel{F~O~I~L}{x^2+2x-15})=y\implies \stackrel{\textit{leading coefficient of 2}}{2(x^2+2x-15)}=y\implies 2x^2+4x-30=y

Check the picture below.

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Sallie makes candles using different scents. She sells each candle for $8 on her website. She writes the equation y = 8x to dete
vredina [299]

Answer:

B The number of candles Sallie sells

Step-by-step explanation:

Given the equation :

y = 8x

y = amount earned ; x = number of candles sold

Cost per candle = 8

The Independent variable is the number of candles sallie sells as it is this variable which determines the amount which sallie will earn from candle sales (dependent variable). In essence, the variable which determines or affects the dependent variable is the independent variable.

7 0
3 years ago
Anastasia is grocery shopping with her father and wonders how much shopping is left to do. "We already have 60 percent of the it
Ilia_Sergeevich [38]
Hi

Left to do 40% of the shopping

12 items ⇒ 60% of the items
x items ⇒ 40% of the items

60x = 12(40)
60x = 480
x = 480/60
x = 48/6
x = 8 items 

Answer:

Left 8 items of the list (40% of the shopping)

Items: 12+8 = 20 items on her list
4 0
3 years ago
Read 2 more answers
Solve for u.<br> u – 23 = 5<br> U =
VMariaS [17]

Answer:

U= 28

Step by step solution

add 23 to both sides

U-23+23=5+23

hence

U=28

3 0
3 years ago
I think one of them is x-100.
vova2212 [387]
The second answer.
You have the first prize, x.
Then you have the second prize, which is x - 50.
Then you have the third prize, which is x - 50 -50, or x - 100.
So the total money is:
x + (x-50) + (x-100).
5 0
3 years ago
Which of the following points does not lie on the line y = -2x +5?
igor_vitrenko [27]

Answer:

C and E are not on the line.

Step-by-step explanation:

Just substitute for the x and the y and see which ordered pair fits and which does not:

If Left side of the equation = right side then the point fits.

A.   y = -3

-2x+5 = -2(4) + 5 = -3  So A is on the line

B. y = 9

-2(-2) + 5 = 9 So this point does lie on the line.

C. y = 1

-2(3) + 5 = -1   No.

D. y = 7

-1(-1) + 5 = 7  YES.

E. y = 1

-2(1) + 5 = 3 NO.

6 0
2 years ago
Read 2 more answers
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