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Degger [83]
3 years ago
10

What is the solution set to the inequality?

Mathematics
1 answer:
son4ous [18]3 years ago
6 0

Answer:

Step-by-step explanation:

-x+3 > 5  0r 4x > -8

-x > 2 or x > -8/4

x< -2 or x > -2

You might be interested in
If a right triangle's hypotenuse is 17 units long, and one of its legs is 15 units long, how long is the other leg?
Vesna [10]

Answer:

8 units

Step-by-step explanation:

Hello!

So, there's a formula we can apply to right-angled triangles: Pythagorean's theorem. It states that  c = \sqrt{{a}^2 + b^{2} }, where <em>c</em> is the hypotenuse and <em>a</em> and <em>b </em>are the legs of the triangle.

So, from the problem,  if <em>c </em>= 17 and <em>a </em> = 15, then, we're solving for <em>b</em>. So we'll rewrite the theorem to solve for <em>b</em>.

{c}^2 = {a}^2+{b}^2\\{c}^2-{a}^2={b}^2\\{b} = \sqrt{{c}^2-{a}^2}

Okay, so now we have isolated the theorem for <em>b. Let's </em>plug in our values for <em>c </em>and <em>a</em>.

b = \sqrt{{17}^2-{15}^2}\\b = \sqrt{289-225}\\b = \sqrt{64}\\b = 8

So, using the theorem, we found <em>b</em> = 8. To check our work, let's plug in <em>b</em> and <em>a</em> and solve for <em>c.</em>

<em />c = \sqrt{{a}^2+{b}^2}}\\c = \sqrt{{15}^2+{8}^2}\\c = \sqrt{225+64}\\c = \sqrt{289}\\c = 17\\<em />

So, we got our hypotenuse to equal 17 units, which is correct! So, our <em>b</em> is correct too. Awesome

7 0
3 years ago
What is the vertex form of this and how do you graph this
luda_lava [24]

set it up like a y= equation.

which would be y=-x^2+7

to find the vertex, you substitute the 0s.

so 0=-(0)^2+7

-0^2=0

0+7=7

0=7

(0,7)

6 0
4 years ago
sam and jake live 8 km from each other, Sam skateboards 10 km in the same time as jake rides his bike 15 km. if they both leave
lesya [120]
10 km from jakes home
5 0
3 years ago
HELP PLEASEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEE
antoniya [11.8K]

Answer: See explanation

Step-by-step explanation:

1. Step 1: Add up all the numbers.

12 + 15 + 10 + 15 + 11 + 12 + 15 = 90

Step 2: Count how many numbers there are.

There are 7 numbers

Step 3: Divide the sum of the numbers by amount of numbers.

90 ÷ 7 = 12.85

12.85 ≈ 12.9

Mean = 12.9 in tenth place or 13 in whole place

2. The mode is the number that appears the most

15 appears 3 times.

3. 38 / +38

4. 1 week = 7 days

7 × 2 = 14

9 weeks = 9 × 7 = 63

63 × 3 = 189

189 + 14 = 203

203 miles in all

5. Area of 1st rectangle: b × h

4 × 14 = 56

Area of 2nd rectangle: b × h

4 × 14 = 56

56 + 56 = 112

Area of polygon = 112

Hope this helps!

8 0
3 years ago
Read 2 more answers
2(1/3x-5)=5/3x-11<br> can somebody help me ASAP
maw [93]

Answer: x=1 my friend

Step-by-step explanation:

6 0
3 years ago
Read 2 more answers
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