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3 years ago

How many solutions does the following equation have -14(z-5)=-14z+70

Mathematics

1 answer:

Nookie1986 [14]3 years ago

6 0

Answer:

The given equation has NO solutions

Step-by-step explanation:

Given equation as :

- 14 (z - 5) = - 14 z + 70

Or, - 14 z + 70 = - 14 z + 70

Since the coefficient of variable z is same on both side i.e ( - 14 ) , So , the Given equation has NO - solution .

Hence the given equation has NO solutions Answer

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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

2 years ago

Read 2 more answers

What is the volume of a cylinder with a diameter of 12 in. and a height of 7 in.?

Stels [109]

Answer

Find out the volume of a cylinder .

To prove

Formula

$Volume\ of\ cylinder = \pi r^{2}h$

Where r is the radius and h is the height.

As given

Diameter of 12 in. and a height of 7 in.

$Radius = \frac{Diameter}{2}$

$Radius = \frac{12}{2}$

Radius = 6 in

$\pi = 3.14$

put all the values in the formula

$Volume\ of\ cylinder = 3.14\times 6\times 6\times 7$

= 791.28 in³

Therefore the volume of the cylinder is 791 .28 in³ .

3 0

3 years ago

What is 7.1 divided by 312.755

WITCHER [35]

Answer:

0.0227014756

Step-by-step explanation:

or if you meant 312.775/7.1 it's 44.0528169

6 0

3 years ago

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3) Keith took a ferry to a nearby island that lasted for 82 minutes. Although he forgot to check the

adell [148]

Answer:

Step-by-step explanation:

so if he arrived at 11:22 AM.....and it took him 82 minutes....

82 minutes = 1 hr and 22 minutes

then he departed at :

11:22 - 1 hr and 22 minutes = 10:00 AM <==

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4 years ago

Come up with two examples of ratio relationships that are interesting to you.

Likurg_2 [28]

Answer:

1:3 is an example and for every two boy there are 5 girls is another example

Edited: I go out Five times as much as My sister does. My sister goes out only 3 times. Which is 15:1

I see 5 blue cars for every 6 red cars. Which is 5:6

8 0

2 years ago