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Nuetrik [128]
3 years ago
15

Which of the following are to the inequality -7x+14>-3x-6 Select all that apply.

Mathematics
1 answer:
Lunna [17]3 years ago
7 0
-10     70+14>30-6
-5       35+14>15-6
-3       21+14>9-6
0        0+14>0-6
You might be interested in
Solve and graph the compound inequalities. (You don’t need to graph it on a line plot but if you could that would be great!)
lidiya [134]

Part A

-12 < 5x - 2 < 13\\\\-12+2 < 5x - 2+2 < 13+2 \ \text{ ... add 2 to all sides}\\\\-10 < 5x  < 15\\\\-10/5 < 5x/5  < 15/5 \ \text{ ... divide all sides by 5 to isolate x}\\\\-2 < x  < 3\\\\

To graph this, we plot open holes at -2 and 3 on the number line. Shade between these open holes to represent values between -2 and 3, but we don't include the endpoints.

See figure 1 below.

===============================================

Part B

Solve the first inequality to get

3x < -9\\\\3x/3 < -9/3\\\\x < -3\\\\

Now solve the second inequality

2x \ge x+1\\\\2x-x \ge x+1-x\\\\x \ge 1\\\\

We have x < -3 \ \text{ or } \ x \ge 1

The graph will have an open hole at -3 and a closed/filled in circle at 1. We shade everywhere but the region between these marked values. The left portion in blue represents stuff smaller than -3; the right portion in red represents values equal to 1 or larger.

See figure 2 below.

4 0
2 years ago
Need help with this
maw [93]

Answer:

0, 5/4

Step-by-step explanation:

If k=0, you get 0=0, which is obviously true.

As long as K is not 0, you can divide by k and get 4k=5 which is solved by k=5/4

6 0
4 years ago
Daniel has $100. After he buys 4 pencils and 3 pens, he has $7 left. If each pencil costs $3 more than each pen, is $25 enough t
amm1812

Answer:  Yes, Daniel has enough money to buy 2 pens.

=========================================================

Explanation:

x = cost of one pencil

y = cost of one pen

4x = cost of 4 pencils

3y = cost of 3 pens

4x+3y = cost of 4 pencils and 3 pens

100 - (4x+3y) = amount Daniel has left = 7 dollars

100-(4x+3y) = 7 is one equation we can form

Another equation we can form is x = y+3 because "each pencil costs $3 more than each pen".

Let's plug that into the first equation and solve for y.

100-(4x+3y) = 7

100-(4(y+3)+3y) = 7

100 - (4y+12+3y) = 7

100 - (7y+12) = 7

100 - 7y - 12 = 7

-7y + 88 = 7

-7y = 7-88

-7y = -81

y = -81/(-7)

y = 11.57 is the cost of one pen

2y = 2*11.57 = 23.14 is the cost of two pens.

Since this is less than $25, this means he has enough to buy two pens. This assumes that we either ignore tax, or the tax is already included in the listed prices.

5 0
2 years ago
At a real estate agency, an agent sold a house for $311,000. The commission rate is 4.6% for the real
deff fn [24]

9514 1404 393

Answer:

  • agency: $14,306
  • agent: $3,576.50

Step-by-step explanation:

The agency's commission was ...

  0.046 × $311,000 = $14,306

The agent's commission was ...

  0.25 × $14,306 = $3,576.50

__

The agency made $14,306; the agent earned $3,576.50.

4 0
3 years ago
Six cats each ate
kondaur [170]

Answer:

they will eat 12 food altogether

4 0
3 years ago
Read 2 more answers
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