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3 years ago

Answer the question please

Mathematics

1 answer:

atroni [7]3 years ago

7 0

Answer:

It is the one in the bottom right side

Step-by-step explanation: If you try to find the mode 2 numbers are tied for which appears the most

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Verify that the roots of 5x²- 6x -2 = 0 are <img src="https://tex.z-dn.net/?f=%5Cfrac%7B3%20%2B%20%5Csqrt%7B19%7D%20%7D%7B5%7D%2

Mice21 [21]

Answer:

Proof below.

Step-by-step explanation:

Quadratic Formula

$x=\dfrac{-b \pm \sqrt{b^2-4ac} }{2a}\quad\textsf{when }\:ax^2+bx+c=0$

Given quadratic equation:

$5x^2-6x-2=0$

Define the variables:

a = 5
b = -6
c = -2

Substitute the defined variables into the quadratic formula and solve for x:

$\implies x=\dfrac{-(-6) \pm \sqrt{(-6)^2-4(5)(-2)}}{2(5)}$

$\implies x=\dfrac{6 \pm \sqrt{36+40}}{10}$

$\implies x=\dfrac{6 \pm \sqrt{76}}{10}$

$\implies x=\dfrac{6 \pm \sqrt{4 \cdot 19}}{10}$

$\implies x=\dfrac{6 \pm \sqrt{4}\sqrt{19}}{10}$

$\implies x=\dfrac{6 \pm2\sqrt{19}}{10}$

$\implies x=\dfrac{3 \pm \sqrt{19}}{5}$

Therefore, the exact solutions to the given quadratic equation are:

$x=\dfrac{3 + \sqrt{19}}{5} \:\textsf{ and }\:x=\dfrac{3 - \sqrt{19}}{5}$

Learn more about the quadratic formula here:

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3 0

1 year ago

Read 2 more answers

Consider the cylinder with a volume of 132π cm3. A cylinder with volume of 132 pi centimeters cubed. What is the volume of a con

vagabundo [1.1K]

Answer:

44 pi centimeters cubed

Step-by-step explanation:

Since, base radius and height of cone are equal to to that of cylinder. Hence,

$Volume \: of \: cone \\ = \frac{1}{3} \times Volume \: of \: cylinder \\ = \frac{1}{3} \times132\pi \\ = 44\pi \: {cm}^{3}$

4 0

2 years ago

Read 2 more answers

What is 3/8 of 200? pls show work 35 POINTS!!!

yanalaym [24]

Answer:

The answer is 75

Step-by-step explanation:

3/8*200=75.

3 0

2 years ago

What is 6 1/3 - 4 1/9

Mademuasel [1]

Answer:

2 2/9

Step-by-step explanation:

6 1/3 - 4 1/9

1/3: 1x3 3x3= 3/9

1/9: 1x1 9x1= 1/9

3/9 - 1/9 = 2/9

6-4=2

Answer: 2 2/9

8 0

3 years ago

The height of a ball kicked in the air is modeled by the equation h(t) = -2t^2 +8t +24, where h is the height of the ball in fee

Setler79 [48]

Answer:

Step-by-step explanation:

The rate of change in any function is the slope of the line between 2 points. Our points are t = 2 and t = 5. But we know that the slope formula also involves the h's for each of those t's. We need to find them first. The slope formula is

$m=\frac{y_2-y_1}{x_2-x_1}$ , but for us it will look like this (fittted to our needs):

$m=\frac{h_2-h_1}{t_2-t_1}$ . So we need to find those h's.

when t = 2, plug in a 2 for t and solve for h.

Therefore, $h(2)=-2(2)^2+8(2)+24$ and

h(2) = 32 and in coordinate form, (2, 32).

When t = 5, plug in a 5 for t and solve for h.

Therefore, $h(5) =-2(5)^2+8(5)+24$ and

h(5) = 14 and in coordinate form, (5, 14). Now we can plug into our slope formula:

$m=\frac{14-32}{5-2}=\frac{-18}{3}=-6$ , choice B.

The rate of change is -6 which, in words, means that the ball fell 6 feet every 1 second it fell.

5 0

3 years ago