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erma4kov [3.2K]
3 years ago
10

Which equation shows the quadratic formula used correctly to solve 7x2 = 9 + x for x?

Mathematics
2 answers:
nydimaria [60]3 years ago
7 0
I hope this helps you

otez555 [7]3 years ago
5 0

Answer:

Quadratic formula for given equation is x=\frac{-(-1)\pm\sqrt{(-1)-4(7)(-9)}}{2\times7}

Step-by-step explanation:

Given Quadratic Equation is  7x² = 9 + x

We need to find correct Quadratic formula for the given quadratic equation.

If the quadratic equation is in standard for,

ax² + bx + c = 0

then quadratic formula is given by,

x=\frac{-b\pm\sqrt{b-4ac}}{2a}

First we rewrite the quadratic equation,

7x² - x - 9 = 0

by comparing with standard form of equation we get,

a = 7  ,   b = -1  and c = -9

oNw putting these value in quadratic formula we get,

x=\frac{-(-1)\pm\sqrt{(-1)-4(7)(-9)}}{2\times7}

Therefore, Quadratic formula for given equation is x=\frac{-(-1)\pm\sqrt{(-1)-4(7)(-9)}}{2\times7}

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A deck of 40 cards contains 20 blue and 20 red cards. Each color has cards numbered 1 to 20.
Marina CMI [18]

Answer:

A red 5 is chosen from the deck. The card is put back into the deck and the a red card is chosen.

Step-by-step explanation:

An independent event is one whose outcome is not dependent on any other event. There are two types of cards in the deck. If a red card is selected it will be from the series 1 - 20, if the card is put back into deck and then again a red card is selected it will be again from the series 1 - 20. This is an independent event since its outcome is same irrespective of the events.

6 0
3 years ago
Find the domain of the function.
SpyIntel [72]
Domain means the values that can be used as a function's input. Since all real values of x will yield a real value of f(x), the domain is (-infinity, infinity).
6 0
3 years ago
A firework rocket consists of a cone stacked on top of a cylinder, where the radii of the cone and the cylinder are equal. The d
Svet_ta [14]

Answer:

188π in^2

Step-by-step explanation:

Surface area of the rocket = surface area of the cone + surface area of the cylinder

Surface area of a cone = πr(r+h^2+r^2)

r = 8/2 = 4 in

4π( 4 + 3^2 + 4^2) =

4π ( 4 + 9 + 16) = 116π in^2

Surface area of a cylinder = 2πrh+2πr^2

(2 x n x 4 x 5) + (2 x n x 16)= 72π in^2

116 + 72 = 188π in^2

4 0
3 years ago
The touchdown to fumble ratio for Bobby Boucher was 9:2 If Bobby ran for 18 touchdowns,
Vika [28.1K]

Answer: He had 14 more touchdowns than he did fumbles.

Step-by-step explanation:

Step 1. Ok, so we need to see how many times 9 will divide into 18.

18/9=2.

Step 2. So now that we know that 9 goes into 18 two times and we know he has two fumbles for every 9 touchdowns we can multiply 2 by 2 to find out how man fumbles he had.

2*2=4

Step 3. Now to find out how many more touchdowns than fumbles he had we need to subtract his fumbles from his touchdowns.

18-4= 14. So, now we know he had 14 more touchdowns than he did fumbles.

Hope this helps!

4 0
3 years ago
bright pools is building a rectangular pool at a new house. The perimeter of the pool has to be 94 feet and the length has to be
bekas [8.4K]

Answer:

\displaystyle 15\:feet\:wide \\ 32\:feet\:long

Step-by-step explanation:

{2 + 2w = l

{94 = 2w + 2l

94 = 2w + 2[2 + 2w]

94 = 2w + 4 + 4w

94 = 4 + 6w

- 4 - 4

_________

\displaystyle \frac{90}{6} = \frac{6w}{6}

\displaystyle 15 = w[Plug this back into both equations above to get the length of 32 feet]; \displaystyle 32 = l

I am joyous to assist you anytime.

4 0
3 years ago
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