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3 years ago

State the range of possible values for x if (3x+5)(x-1) < 2x+7

Mathematics

1 answer:

lara31 [8.8K]3 years ago

8 0

we are given with the inequality

$(3x+5)(x-1) < 2x+7\\ \\$

Open the parenthesis we get on left side we get

$(3x+5)(x-1) < 2x+7 =3x^2-3x+5x-5$

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A plumber charges of fee of $75 to make a house call. He also charges $50 per hour for labor.

Hoochie [10]

Answer:

For part 1- y=50x+75 For part 2- y=325

Step-by-step explanation:

the cost is increasing 50 for every hour

there is a flat rate of 75 to answer a house call

y=50x+75

y=50(5)+75

y=250+75

y=325

5 0

3 years ago

When they are both racing on hoverboards, Victoria is 3 times as fast as her brother Max. When she is on foot, she is 3 times sl

NARA [144]

Answer:

Race completed in 48 minutes.

Step-by-step explanation:

Let the speed of Max on hoverboard is = x

Then as per question speed of Victoria on hoverboard = 3x

Now it has been given in the question that speed of Victoria on foot is 1/3 of the speed of Max on hoverboard that will be = x/3

Now we will form the equation.

As we know the formula speed = distance/time

Let the time taken by both to complete the race be t minutes.

Distance covered by Victoria in 12 minutes + Distance covered by Victoria on foot = distance covered by Max on hoverboard

Then the equation will be

12(3x)+(1/3)x(t-12)=xt

$36x+\frac{xt}{3}-4x=xt$

$x(36+\frac{t}{3}-4)=xt$

$36+\frac{t}{3}-4=t$

$32=t-\frac{t}{3}$

$\frac{2t}{3}=32$

$t=\frac{(32)3}{2}=48$

So 48 minutes it took to complete the race.

4 0

3 years ago

Read 2 more answers

A survey 3,000 who bought a new car showed that 900 had problems. What is the relative frequency of the people that had problems

Anit [1.1K]

Answer:

30%

Step-by-step explanation:

Presuming that "survey 3,000" is the total and "900" is the factor who had problems then dividing the total amount by the amount of problems like equal the relative frequency of people that had problems

Math:

Amount of people you had problems / Amount of people who bought the new car.

900 / 3000 = 0.3

Now you need to multiply by 100% (because % in this case is a unit/measurement)

0.3 * 100% = 30%

3 0

3 years ago

1/2(8a+200b)<br><br> Is the answer 4a+100b?

kaheart [24]

Answer:

you are correct it is, 4a+100b

Step-by-step explanation:

4 0

2 years ago

Read 2 more answers

Please help i will mark branliest

kotegsom [21]

Answer:

Step-by-step explanation:

5 0

2 years ago