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3 years ago

Find the solution set of the inequality

Mathematics

2 answers:

Alex_Xolod [135]3 years ago

8 0

The answer would be 7/3

julsineya [31]3 years ago

3 0

3x + 8 < 15

Subtract both sides by 8.

3x + 8 - 8 < 15 - 8
3x < 7

Divide both sides by 3.

3x / 3 < 7 / 3
x < 7/3

So, to be in the solution set, x will have to be smaller than 7/3.

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Harlamova29_29 [7]

The answer is -3x+10=5x-8; x=2.25

6 0

3 years ago

The diameter of a circleis 170inches. The circle has two chords of length 26 inches. What is the distance from each chord to the

vivado [14]

Answer:

Hence the Distance from each other chord to center is 84 inches.

Step-by-step explanation:

Given:

Diameter =170 inches

2 chords with each length =26 inches.

To Find:

Distance of each chord from the circle.

Solution:

Consider a circle with center as O ,

And OA as Radius

(Refer the attachment)

So as chord be BC and DE respectively with each of 26 length

They have both same length so they should located at same distance from center but as mirror images of each other opposite side of the diameter as shown in fig.

Hence we can calculate for one chord as follows:

Radius =diameter/2=170/2=85

r=85 inches.

Let distance from center t o chord be 'x'

Now draw perpendicular to chord BC with F as midpoint for chord and join endpoints of chord to the center which forms triangle OFC as right angled triangle,

By using pythagorus Theorem

$OC^2=FC^2+OF^2$

Here OC=85 inches , FC=26/2=13 inches.

$85^2=13^2+OF^2$

$OF^2=85^2 -13^2$

$OF^2=7225-169$

$OF^2=$ 7056

$OF=84$ inches

Hence the Distance from each other chord to center is 84 inches.

7 0

4 years ago

Assuming a linear relationship between x and y, if the coefficient of correlation (r) equals -0.75, this means that:

Gelneren [198K]

Since we are given that the relationship between x and y is linear. Therefore this means that the given equation takes the form of:

y = m x + b

where,

b is the y intercept of the equation

m is the slope of the equation

However we should take note that the slope m is directly proportional to the coefficient of correlation. Since our coefficient of correlation is negative, this only means that the value of y is decreasing with increasing x, hence plot of y and x is descending with increasing x. Furthermore, this also tells that for every 1 unit increase of x, there is a 0.75 units decrease of y.

6 0

3 years ago

Which orderd pair is a solution to this equation? -2x-y=4

nevsk [136]

To find the ordered pair solution, you need to find the zero(s) (which are the x-values for which y is equal to zero). This is called the Zero Product Property. Here's the math:

-2x-y=4 convert the equation into slope form

-y=2x+4 multiply both sides by -1

y=-2x-4 convert into factored form

y=-2(x+2) now, we need to find what x equals that makes y equal zero

0=-2(x+2) replace y with zero

0/-2=x+2 divide both sides by -2

-2=x x=-2 when y=0

Therefore, the zero of the equation (aka the solution) is the ordered pair (-2,0).

Answer: (-2,0)

If you have access to a graphing calculator, you can just convert the equation to y=mx+b form and enter it as a function. The solution is wherever the graph intercepts the x-axis. Hope this helps!

5 0

4 years ago

What is 40% of a circle of radius 225ft

castortr0y [4]

Area of circle=(pi)r^2
=(pi)(225ft)(225ft)
=159,043.1281
then find 40% of surface area: 159043.1281 x 40%=63,617.25124

Hope that is helpful!

3 0

4 years ago