3 + 3/4x > = 15
3/4x > = 15 - 3
3/4x > = 12
x > = 12 / (3/4)
x > = 12 * 4/3
x > = 48/3 = 16 sessions <==
================
-p - 4p > -10
-5p > -10
p < -10/-5
p < 2 <===
===============
-3 - 6(4x + 6) > = 9
-3 - 24x - 36 > = 9
-24x - 39 > = 9
-24x > = 9 + 39
-24x > = 48
x < = -48/24
x < = -2 <===
=================
2x - 2 > = 10
2x > = 10 + 2
2x > = 12
x > = 12/2
x > = 6........so ur solution set is {6,7}

8 0

3 years ago

What is h(x) = 7+ 10x + x2 written in vertex form?

Roman55 [17]

Answer:

h(x) = $(x+5)^{2}$ -18

Step-by-step explanation:

-b/2a is the formula to find the vertex's x coordinate.

-10/2(1) = -5 and "(x+5)" represents a translation to the left 5 units, so that must be the answer

5 0

3 years ago

Convert 5/11<br> to a decimal using long division

barxatty [35]

The answer is 0.45 recurring. Hope this helped or helps you. :)

8 0

4 years ago

Read 2 more answers

the Children's Hospital sponsors a 10k race to raise money. it receives $75 per race entry and $10,000 in donations but it must

masha68 [24]

Answer:

There would need to be at least 1,800 entries in order for them to meet their goal.

Step-by-step explanation:

To find this, we must write an equation that helps solve it. We know that for every entry (x), we gain 75 and lose 25. We can express this as the following.

75x - 25x

Then we can add the number of donations.

75x - 25x + 10,000

Then we can set it as greater than or equal to the goal number.

75x - 25x + 10,000 ≥ 100,000

Now we solve this using the order of operations.

75x - 25x + 10,000 ≥ 100,000 ----> Combine like terms

50x + 10,000 ≥ 100,000 ------> Subtract 10,000

50x ≥ 90,000 -----> Divide by 50

x ≥ 1,800

4 0

3 years ago

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