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nika2105 [10]
2 years ago
11

Find the solution set of the inequality 8x−8≤−72.

Mathematics
1 answer:
Ierofanga [76]2 years ago
5 0

Answer:

x≤-8

Step-by-step explanation:

When solving 8x-8≤-72, first add 8 to both sides of the inequality.

This leaves you with 8x≤-64.

Divide both sides by 8: 8x/8 and -64/8

This leaves you with x≤-8 as your solution.

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Pls help ME PLSSSSS!!!!!!
Scilla [17]

(a) the interquartile range

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88% above all the seasons because the scale that was shown went to 100 and that would cause each win to be 1%. the bottom would have to equal out to 12% because that is what we would need to make it equal out to 100.

Hope this helps

8 0
3 years ago
Which of the following problems would NOT have a solution?
Vika [28.1K]
The last one I think
6 0
2 years ago
Read 2 more answers
Chen’s house is 53 years old. This is 5 more than twice the age of Sunny’s house, h.
tankabanditka [31]

Answer:

The Equation which shows the equality is 53 = 2 h + 5 ,

The age of Sunny's house is 24 years old

Step-by-step explanation:

Given as ;

The age of the house of Chen's is 53 years old

Let the age of of the house of sunny = h years old

So, according to question

Chen's house age is 5 years more than twice the age of sunny's house

I.e Chen's house age = 2 × sunny's house age + 5

Or, 53 = 2 × h + 5

or,  2 × h = 53 - 5

so . 2 × h = 48

∴    h = \frac{48}{2} = 24 years

Hence The Equation which shows the equality is 53 = 2 h + 5 , And The age of Sunny's house is 24 years old .  Answer

5 0
3 years ago
What is the equation of a parabola with a directrix of y=2 and a focus point of 0,-2
KiRa [710]
Hope this helped. :)

Any point, <span><span>(<span><span>x0</span>,<span>y0</span></span>)</span><span>(<span><span>x0</span>,<span>y0</span></span>)</span></span> on the parabola satisfies the definition of parabola, so there are two distances to calculate:

<span>Distance between the point on the parabola to the focusDistance between the point on the parabola to the directrix</span>

To find the equation of the parabola, equate these two expressions and solve for <span><span>y0</span><span>y0</span></span> .

Find the equation of the parabola in the example above.

Distance between the point <span><span>(<span><span>x0</span>,<span>y0</span></span>)</span><span>(<span><span>x0</span>,<span>y0</span></span>)</span></span> and <span><span>(<span>a,b</span>)</span><span>(<span>a,b</span>)</span></span> :

<span><span><span><span><span>(<span><span>x0</span>−a</span>)</span>2</span>+<span><span>(<span><span>y0</span>−b</span>)</span>2</span></span><span>‾‾‾‾‾‾‾‾‾‾‾‾‾‾‾‾‾‾‾</span>√</span><span><span><span>(<span><span>x0</span>−a</span>)</span>2</span>+<span><span>(<span><span>y0</span>−b</span>)</span>2</span></span></span>

Distance between point <span><span>(<span><span>x0</span>,<span>y0</span></span>)</span><span>(<span><span>x0</span>,<span>y0</span></span>)</span></span> and the line <span><span>y=c</span><span>y=c</span></span> :

<span><span><span>∣∣</span><span><span>y0</span>−c</span><span>∣∣</span></span><span>| <span><span>y0</span>−c</span> |</span></span>

(Here, the distance between the point and horizontal line is difference of their <span>yy</span> -coordinates.)

Equate the two expressions.

<span><span><span><span><span><span>(<span><span>x0</span>−a</span>)</span>2</span>+<span><span>(<span><span>y0</span>−b</span>)</span>2</span></span><span>‾‾‾‾‾‾‾‾‾‾‾‾‾‾‾‾‾‾‾</span>√</span>=<span><span>∣∣</span><span><span>y0</span>−c</span><span>∣∣</span></span></span><span><span><span><span>(<span><span>x0</span>−a</span>)</span>2</span>+<span><span>(<span><span>y0</span>−b</span>)</span>2</span></span>=<span>| <span><span>y0</span>−c</span> |</span></span></span>

Square both sides.

<span><span><span><span>(<span><span>x0</span>−a</span>)</span>2</span>+<span><span>(<span><span>y0</span>−b</span>)</span>2</span>=<span><span>(<span><span>y0</span>−c</span>)</span>2</span></span><span><span><span>(<span><span>x0</span>−a</span>)</span>2</span>+<span><span>(<span><span>y0</span>−b</span>)</span>2</span>=<span><span>(<span><span>y0</span>−c</span>)</span>2</span></span></span>

Expand the expression in <span><span>y0</span><span>y0</span></span> on both sides and simplify.

<span><span><span><span>(<span><span>x0</span>−a</span>)</span>2</span>+<span>b2</span>−<span>c2</span>=2<span>(<span>b−c</span>)</span><span>y0</span></span><span><span><span>(<span><span>x0</span>−a</span>)</span>2</span>+<span>b2</span>−<span>c2</span>=2<span>(<span>b−c</span>)</span><span>y0</span></span></span>

This equation in <span><span>(<span><span>x0</span>,<span>y0</span></span>)</span><span>(<span><span>x0</span>,<span>y0</span></span>)</span></span> is true for all other values on the parabola and hence we can rewrite with <span><span>(<span>x,y</span>)</span><span>(<span>x,y</span>)</span></span> .

Therefore, the equation of the parabola with focus <span><span>(<span>a,b</span>)</span><span>(<span>a,b</span>)</span></span> and directrix <span><span>y=c</span><span>y=c</span></span> is

<span><span><span><span>(<span>x−a</span>)</span>2</span>+<span>b2</span>−<span>c2</span>=2<span>(<span>b−c</span>)</span>y</span></span>

3 0
3 years ago
PLS HELP!!! WILL GIVE A LOT OF POINTS!!! <br><br><br><br> dont forget the show your work pls
kolbaska11 [484]

Answer: it might be 8

Step-by-step explanation: Write a distance formula:  x^2  - x^1    

substituted -3.8, 4.2 into  x^2  - x^1   and u will get 4.2 + 3.8 and u will calculate and it gets 8

I hope its right

7 0
2 years ago
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