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3 years ago

Three less than a 6 times a number is 39. find the number

1 answer:

5 0

Using the problem, create an equation to find the number (x).
Three less than (so x minus 3) 6 times a number (6 times x) equals 39.

6x-3=39, solve for x.
x = 7

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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

Rewrite in simplest terms: 9(-9f-2)-9(5f+10)

Deffense [45]

Answer:-126f-108

Step-by-step explanation:

9(-9f - 2)-9(5f +10)

-81f - 18 -9(5f + 10)

- 81f - 18 - 45f -90

- 126f - 18 - 90

-126f -108

which give you the answer -126f - 108

7 0

3 years ago

Can u guys help me on #24

lora16 [44]

56.5ft x 17ft x 1ft = 960.5ft^3.

The question wants the answer in ft^3. One of the measurements is given as 13 inches but that converts to 1ft. And with the volume formula for rectangles is widthxlenghtxheight. Plug in the numbers.

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2 years ago

To build a road, a company charges a flat fee plus a fee that varies depending on the number of kilometers of road built. The co

Goshia [24]

I dont remember that one sorry

Step-by-step explanation:

4 0

3 years ago

Read 2 more answers

Simplify using appropriate identity 0.85 × 0.85 +2 × 0.85 ×0.15 × 0.15

spayn [35]

The answer is 0.76075!