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3 years ago

-7x+14>-3x-6 inequaility

Mathematics

2 answers:

timama [110]3 years ago

7 0

Answer: 5 > x

Step-by-step explanation:

First you add 7x from both sides since it’s less than -3x. Next it will be 14>4x-6 so you have to add 6 from both sides. Then it will be 20>4x so you have to divide both by 4 and get 5>x

VARVARA [1.3K]3 years ago

3 0

Answer:

5 > x

Step-by-step explanation:

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-12+5x=15-4x Please help me :( I need to know how to get the answer as well

tankabanditka [31]

Answer:

We simplify the equation to the form, which is simple to understand

5x+15=4x-12

We move all terms containing x to the left and all other terms to the right.

+5x-4x=-12-15

We simplify left and right side of the equation.

+1x=-27

then divide both sides of the equation by 1 to get x.

x=-27

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3 years ago

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2 years ago

Find the exact value of cos theta, given that sin thetaequalsStartFraction 15 Over 17 EndFraction and theta is in quadrant II.

vova2212 [387]

Answer:

$cos \theta = -\frac{8}{17}$

Step-by-step explanation:

For this case we know that:

$sin \theta = \frac{15}{17}$

And we want to find the value for $cos \theta$ , so then we can use the following basic identity:

$cos^2 \theta + sin^2 \theta =1$

And if we solve for $cos \theta$ we got:

$cos^2 \theta = 1- sin^2 \theta$

$cos \theta =\pm \sqrt{1-sin^2 \theta}$

And if we replace the value given we got:

$cos \theta =\pm \sqrt{1- (\frac{15}{17})^2}=\sqrt{\frac{64}{289}}=\frac{\sqrt{64}}{\sqrt{289}}=\frac{8}{17}$

For our case we know that the angle is on the II quadrant, and on this quadrant we know that the sine is positive but the cosine is negative so then the correct answer for this case would be:

$cos \theta = -\frac{8}{17}$

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2 years ago

Use the table below to fill in missing values.

aliina [53]

Step-by-step explanation:

We can observe from the table that the value of independent variable and then the values of function on that variable are given.

So,

f(5) = 6

As the value of function at x=5 is 6

If f(x) = 4 then x = 7

The value of function is 4 only on x=7 so the answer is x = 7

When the inverse is taken, the inputs become output and the outputs become inputs

$f^{-1}(6) = 5$

The value of inverse will be 5 because in original function 5 is input and 6 is output when this will be reversed for inverse, the output will be 5 for 6

Now,

Lastly

$if\ f^{-1}(x) = 7,\ then \x = 4$

The reverse rule of input and output will be used. The reverse function will generate 7 at input 4.

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3 years ago

Which inequality represents the phrase "paid more than $2.00"?

Nastasia [14]

Is greater than or equal to $.00

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2 years ago