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baherus [9]
3 years ago
15

Solve the following inequality for h. Write your answer in simplest form. -10h+1>-7h+9

Mathematics
1 answer:
emmasim [6.3K]3 years ago
4 0

Answer:

h<-8/3

Step-by-step explanation:

collect like terms

-10h+7h>9-1

3h>8

divide both sides of the inequality by -3 and flip the inequality sign

h<-8/3

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Just number 3 is fine please but if you could also 4​
PIT_PIT [208]

Answer:

3. r = -8

4. x = -5

General Formulas and Concepts:

<u>Pre-Algebra</u>

Order of Operations: BPEMDAS

  1. Brackets
  2. Parenthesis
  3. Exponents
  4. Multiplication
  5. Division
  6. Addition
  7. Subtraction
  • Left to Right

Equality Properties

Step-by-step explanation:

<u>Step 1: Define equation</u>

2(-5r + 2) = 84

<u>Step 2: Solve for </u><em><u>r</u></em>

  1. Divide 2 on both sides:                    -5r + 2 = 42
  2. Subtract 2 on both sides:                 -5r = 40
  3. Divide -5 on both sides:                    r = -8

<u>Step 3: Check</u>

<em>Plug in r into the original equation to verify it's a solution.</em>

  1. Substitute in <em>r</em>:                   2(-5(-8) + 2) = 84
  2. Multiply:                             2(40 + 2) = 84
  3. Add:                                   2(42) = 84
  4. Multiply:                             84 = 84

Here we see that 84 does indeed equal 84.

∴ r = -8 is a solution of the equation.

<u>Step 4: Define equation</u>

264 = -8(-8 + 5x)

<u>Step 5: Solve for </u><em><u>x</u></em>

  1. Divide both sides by -8:                    -33 = -8 + 5x
  2. Add 8 to both sides:                          -25 = 5x
  3. Divide 5 on both sides:                      -5 = x
  4. Rewrite:                                               x = -5

<u>Step 6: Check</u>

<em>Plug in x into the original equation to verify it's a solution.</em>

  1. Substitute in<em> x</em>:                    264 = -8(-8 + 5(-5))
  2. Multiply:                               264 = -8(-8 - 25)
  3. Subtract:                              264 = -8(-33)
  4. Multiply:                               264 = 264

Here we see that 264 does indeed equal 264.

∴ x = -5 is a solution of the equation.

8 0
2 years ago
Please help! thanks so much​
Stels [109]

Answer:

See below.

Step-by-step explanation:

First, we can see that \lim_{x \to 2}  (f(x))= -1.

Thus, for the question, we can just plug -1 in:

\lim_{x \to 2} (\frac{x}{f(x)+1})=\frac{(2)}{-1+1}  =und.

Saying undefined (or unbounded) will be correct.

However, note that as x approaches 2, the values of y decrease in order to get to -1. In other words, f(x) will always be greater or equal to -1 (you can also see this from the graph). This means that as x approaches 2, f(x) will approach -.99 then -.999 then -.9999 until it reaches -1 and then go back up. What is important is that because of this, we can determine that:

\lim_{x \to 2} (\frac{x}{f(x)+1})=\frac{(2)}{-1+1}  = +\infty

This is because for the denominator, the +1 will always be greater than the f(x). This makes this increase towards positive infinity. Note that limits want the values of the function as it approaches it, not at it.

4 0
3 years ago
danny is installing a fence around his rectangular yard. His yard is 20feet by 45feet. If the fence cost 25 per foot based on th
3241004551 [841]

Answer:

$225

Step-by-step explanation:

The area to be fenced in is 20 ft by 45 ft, or 900 ft^2.  But "25 per foot based on the area" is illogical.  Please ensure that you have copied this problem down accurately, and be sure to provide units of measurement:  did you mean $25 per square foot, or per foot, or what?

The fencing cost is usually dependent on the unit cost and the length of the yard perimeter.  The perimeter is P = 2L + 2W, which here is P = 2(45 ft) + 2(20 ft), or 130 ft.  If the fencing is 25 cents per foot, $130 ft of fencing would come to $32.50.

               

6 0
3 years ago
Read 2 more answers
(-4) (-4) rewrite expression use exponent rather then repeating multiplication
vekshin1

Answer:4^2 or (-4)^2

Step-by-step explanation:

I don't really know how to explain it. I can try if you want

4 0
3 years ago
Solve for X: 5x + 15 = 28
rjkz [21]
-15 both sides and then it’s will be
5x = 13 then u divide both sides over 5 and the answer will be ( X=2.6 )
4 0
2 years ago
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