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statuscvo [17]
3 years ago
11

Solve each inequality. Graph the solution on a number line.

Mathematics
1 answer:
Kamila [148]3 years ago
6 0

Step-by-step explanation:

<u>Step 1:  Find the solution for the first one</u>

4x > -36

4x / 4 > -36 / 4

x > -9 ← Solution

<u>Step 2:  Find the solution for the second one</u>

<u />7u\le-49

7y/7\le-49/7

y \le -7 ← Solution

<u>Step 3:  Find the solution for the third one</u>

-5m \ge 15

-5m / -5 \ge 15 / -5

m \le -3 ← Solution

<u>Step 4:  Find the solution for the fourth one</u>

-2p > -3

-2p / -2 > -3 / -2

p < 1.5 ← Solution

<u>Step 5:  Find the solution for the fifth one</u>

45 \le - 10r

45 / -10 \le -10r / -10

-4.5 \ge r ← Solution

<u>Step 6:  Find the solution for the sixth one</u>

<u />-66 \ge -11t

-66 / -11 \ge -11t / -11

6 \le t ← Solution

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The function P(x) = 3x2 + 4x + 5,is dilated by the function I(x) = P(2x). Write the new function I(x).
kow [346]

Answer:

I(x) = 12x² + 8x + 5

Step-by-step explanation:

* Lets talk about the solution

- P(x) is a quadratic function represented graphically by a parabola

- The general form of the quadratic function is f(x) = ax² + bx + c,

  where a is the coefficient of x² and b is the coefficient of x and c is

  the y-intercept

- To find I(x) from P(x) change each x in P by 2x

∵ P(x) is dilated to I(x) by change x by 2x

∵ I(x) = P(2x)

∵ P(x) = 3x² + 4x + 5

∴ I(x) = 3(2x)² + 4(2x) + 5 ⇒ simplify

∵ (2x)² = (2)² × (x)² = 4 × x² = 4x²

∵ 4(2x) = 8x

∴ I(x) = 3(4x²) + 8x + 5

∵ 3(4x²) = 12x²

∴ I(x) = 12x² + 8x + 5

6 0
3 years ago
Please I will give brainiest
Advocard [28]
Not sure if this is accurate but i multiplied everything to get 243/2, 121.5, or 121 1/2
8 0
3 years ago
Read 2 more answers
Evaluate: 4 + 8 / 2 • (6 - 3)
OLga [1]

Answer: 16

Step-by-step explanation: we will do PEMDAS for this. first 6-3= 3    this makes the equation 4+8/2*3    

next, 8/2 because of pemdas. this is 4. this makes the equation 4+4*3. nest do 4*3. this is 12. then just add 4 to make 16.

5 0
3 years ago
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please show me the simplified solution..and how to graph it ! I will for sure answer one of your questions whoever answers this!
Leni [432]

Answer:

x= -4

graph with a closed circle over the intended number

Step-by-step explanation:

These inequalities are basically the same steps as equation.

Step 1: subtract 7 from the 19 on the other side of the equation, this equals 12

Step 2: divide -3 by 12 this equals -4

For these equations, you have to inverse the operations (i.e + to -). that is why you subtract and divide. (-3x) is the same as multiplication. The coefficient and variable are being multiplied.


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3 years ago
Choose the formula for the volume of a cone V=1/3
mote1985 [20]
If you know the cone volume and the cone radius, then
height = 3*Volume / PI * r^2

answer is D


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3 years ago
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