What value of x is in the solution set of -2(3x + 2) > -8x + 6?

Answer:

Henry’s unit rate is 0.7 miles per hour. Clark’s unit rate is 1.5 miles per hour . So, Ckark is faster.

Step-by-step explanation:

Distance covered by Henry is represented by y = 0.7x, where x = time (hrs), and y = distance (miles).

Distance covered in 1 hour by Henry would be:

y = 0.7(1) = 0.7 miles per hour

Distance covered by Clark in 1 hour = 1.5 miles per hour

Ckark covers more miles per hour than Henry covers in one hour, therefore, Ckark is faster.

Answer:

hi answers b or a

Step-by-step explanation:

Answer: 4x² + x - 2

Step-by-step explanation: First distribute the -2x into (1-3x) which = -2x + 6x²

Now let's work on the second part:

Distributing (2x + 3) to (3x - 2) = 6x² - 4x + 9x - 6. Combining like terms: 6x² - 4x + 9x - 6 --> 6x² + 5x - 6. Now let's combine the like factors of our two equations which equals

12x² + 3x - 6. Now reduce by dividing by 3 which gives us the final answer of:

4x² + x - 2.

Answer:

Step-by-step explanation:

-x + 9x = -4

8x = -4

x = -4/8

x = -1/2

Answer: I think the answer is b

Step-by-step explanation:

Answer:

r=4.5% daily

Step-by-step explanation:

Exponential Growth

The natural growth of some magnitudes can be modeled by the equation:

[tex]P=P_o(1+r)^t[/tex]

Where P is the actual amount of the magnitude, Po is its initial amount, r is the growth rate and t is the time.

We know after t=32 days, the population has increased by 309%. Being the original population P the 100%, then the population reached 309+100= 409%.

Substitute the given values into the model function:

[tex]409\%P_o=100\%P_o(1+r)^{32}[/tex]

Simplifying:

[tex]4.09=(1+r)^{32}[/tex]

We need to solve for r. Taking the 32nd root:

[tex]\sqrt[32]{4.09}=\sqrt[32]{(1+r)^{32}}[/tex]

Simplifying:

[tex]1+r=\sqrt[32]{4.09}=1.045[/tex]

Solving:

[tex]r=1.045-1\Rightarrow r=0.045[/tex]

r=4.5% daily

Answer:

36

Step-by-step explanation:

it took David's car 90 seconds  and chris's car 54 seconds so that means

90-54=36

The number of seconds would they meet again at the starting point will be 270 seconds.

The corresponding value integer that can be divided by both is known as the lowest relevant multiple, commonly referred to as the lowest common multiple of pair (or more) numerals a and b.

David's car would cover one lap of the Indy 500 in about 90 seconds. Chris’s car could cover one lap in about 54 seconds.

If both cars left the same starting point at the same time. Then the number of seconds would they meet again at the starting point will be given as,

L.C.M. = 90, 54

L.C.M. = 2 x 3 x 3 x 5, 2 x 3 x 3 x 3

L.C.M. = 2 x 3 x 3 x 3 x 5

L.C.M. = 270 seconds

The number of seconds would they meet again at the starting point will be 270 seconds.

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Answer:

Step-by-step explanation:

Solving for x

The solutions to the polynomial equation [tex]x^3 - 7x^2 - x + 7 = 0[/tex]are[tex]x = 1, x = 7,[/tex] and [tex]x = -1.[/tex]

The given polynomial is [tex]x^3 - 7x^2 - x + 7 = 0[/tex]

We can observe that the polynomial has a common factor of (x - 1).

By dividing the polynomial by (x - 1), we can simplify the equation:

[tex](x - 1)(x^2 - 6x - 7) = 0[/tex]

Now we have factored the polynomial equation as a product of two factors, [tex](x - 1)[/tex] and [tex](x^2 - 6x - 7).[/tex]

To find the solutions, we set each factor equal to zero and solve for x.

Setting [tex](x - 1) = 0[/tex], we get [tex]x = 1.[/tex]

Now, let's solve the quadratic factor [tex](x^2 - 6x - 7) = 0[/tex]

Using factoring or the quadratic formula, we find the roots of the quadratic equation:

[tex]x^2 - 6x - 7 = 0[/tex]

[tex](x - 7)(x + 1) = 0[/tex]

Setting each factor equal to zero:

[tex]x=7[/tex] and [tex]x=-1[/tex]

Therefore, the solutions to the polynomial equation [tex]x^3 - 7x^2 - x + 7 = 0[/tex]are[tex]x = 1, x = 7,[/tex] and [tex]x = -1.[/tex]

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Answer:

A. 0.22

B. 0.18

C. 0.25

D. 0.244

Step-by-step explanation:

S = {51 to 100} = 50

The sample space S contains values from 51 to 100 which is a total of 50 different values.

A.

Probability of A (lies between the values of 90 to 100 = 11).

11/50 = 0.22

B.

For a student to fail the course, his course has to be less than 60 = from 51 to 59. A total of 9 values.

9/50 = 0.18

C.

For student to get c, (70 to 79) a total of 10 values: 10/50 = 0.20

P(student did not get C) = 1-0.20 = 0.80

To get B, ( 80 to 89)

10/50 = 0.20

Probability that a student who is known not to have a c grade has a b grade = 0.20/0.80 = 0.25

D.

Probability of passing lies between 60 to 100 = 41 scores

41/50 = 0.82

Probability of student who passed having a B = 0.20/0.82 = 0.244

Answer:

65 pounds of cashews 35 pounds of almonds

Step-by-step explanation:

do you do vla in ohio? I have the same questions you do

Answer:

x = 7

Step-by-step explanation:

Set the equations equal to each other, since the two angles are congruent.

x + 16 = 4x - 5 now solve

21 = 3x

x = 7

Answer:

Step-by-step explanation:

Answer:

3 ÷ 1/3 = 9

Step-by-step explanation:

= 3 ÷ 1/3

= 3/3 (3/1) ÷ 1/3

= 9/3 × 3/1

= 9/1

= 9

Answer:

B. 61

Step-by-step explanation:

Given:

∆PQR ≅ ∆PQS

PQ = 2x + 41

QS = 7x - 24

QR = 3x + 16

Required:

Numerical value of PQ

SOLUTION:

First, create an equation to find the value of x as follows:

Since both triangles are congruent, therefore:

QS = QR

7x - 24 = 3x + 16 (Substitution)

Collect like terms

7x - 3x = 24 + 16

4x = 40

Divide both sides by 4

4x/4 = 40/4

x = 10

Find PQ by plugging x = 10 into PQ = 2x + 41

PQ = 2(10) + 41

PQ = 20 + 41

PQ = 61

Answer:

Bernard ate a little less than Two-thirds of the pizza.

Step-by-step explanation:

i took the test

Answer:

c 2/3

Step-by-step explanation:Bernard ate part of a small pizza. He started with StartFraction 11 Over 12 EndFraction of a pizza but only ate Two-thirds of it. Which is the best estimate of the amount Bernard ate?as u can see it said HOW many did he eat he ate 2/3 of it your welcome friend!

Answer:

Opction b)

The maximum area that can be enclosed by the fencing

Step-by-step explanation:

I took the test

The solution is, A(w), represents the maximum area that can be enclosed by the fencing.

Here, we have,

If the width of the garden is w (in yards), then the length of the garden is (150-w) and the area is ...

 A(w) = w(150 -w) = -(w² -150w)

 A(w) = -(w² -150w +75²) +75²

 A(w) = -(w -75)² +5625

In this vertex form, the vertex is (75, 5625).

The graph of area versus width is a parabola that opens downward, so the vertex second coordinate is the maximum area that can be enclosed.

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Answer:

a) A = (5, 1), b) A = (1,11)

Step-by-step explanation:

given A is (2,3), question a is represented by a shift of this point 3 units to the right, and 2 units down which means (x,y) → (x +3, y - 2) or T(3,-2)(x,y). (2,3) → (x + 3, y - 2) = (2 + 3, 3 - 2) = (5, 1).

Question b represents a shift of this point one unit to left, and 8 units up which is represented by (x,y) → (x -1 , y + 8) or T(-1,8)(x,y).

(2,3) → (x - 1, y + 8) = (2 - 1 , 3 + 8) = (1, 11).

Answer:

3 1/3 mph

Step-by-step explanation

2/3 mile divided by 1/5 hour

To divide by a fraction, MULTIPLY BY THE RECIPROCAL!

This gives 5(2/3) = 10/3 = three & 1/3 mile per hour, or about 3.33 mph.

Answer:

1. 6 to 2 and 9 to 3

2. Any ratio that is not equivalent to 3 to 1. For example, 4 to 11.

Step-by-step explanation:

Answer:

8 subtract 1 sides fraction

Answer:

8 subtract 1 sides fraction

Step-by-step explanation:

Answer:

20

Step-by-step explanation:

angles on a straight line

(x+20)+7x

open bracket

8x +20 = 180

collect like terms

8x= 180-20

8x=160x

x=160/8

x =20

Answer:

31 is correct guys

Step-by-step explanation:

Since the data is incomplete, for the given question the required average rate of change is given by 15 + 3h.

Given that,
For a function j(x), the difference quotient is 3x2 + 3xh + h2.

The average rate of change of j(x) over the interval [–1, 6] is to be determined.

Functions is the relationship between sets of values. e g y=f(x), for every value of x there is its exists in a set of y. x is independent while Y is the dependent variable.

Here, the average rate of change = f(6) - f(-1) / (6 + 1)
So,
f(6) = 108 + 18h + h²
f(-1) = 3 - 3h + h²

Now,
average rate of change = [(108 + 18h + h²) - (3 - 3h + h²)]/(7)
                                        = [105 + 21 h ] / 7
                                         =   15 + 3h

Thus,  the required average rate of change is given by 15 + 3h.

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Answer:

#23 is x+27°=27

2x-17°=-17

#24 is x+23°=23

x+54°=54

#25 is x+79°=79

2x-37°=-37

#26 is 3x+71°=71

5x+37°=37

Step-by-step explanation:

how you ask because when it is like x+55° and 6x+88° that means its going to be a positive number.

but when it is like 5x-78° that means its going to be a negative number.

remember this +=positive and -=negative

hope this helped you out!

Answer:

  -9.5

Step-by-step explanation:

The slope (m) is the ratio of the change in y to the change in x:

  m = (y2 -y1)/(x2 -x1)

  m = (10-(-9))/(-3-(-1)) = 19/-2

  m = -9.5

The slope of that line is -9.5.

__

The graph shows the line through those points, written in point-slope form.

Answer:

∑ (-1)ⁿ⁺³ 1 / (n^½)

∑ (-1)³ⁿ 1 / (8 + n)

Step-by-step explanation:

If ∑ an is convergent and ∑│an│is divergent, then the series is conditionally convergent.

Option A: (-1)²ⁿ is always +1.  So an =│an│and both series converge (absolutely convergent).

Option B: bn = 1 / (n^⁹/₈) is a p series with p > 1, so both an and │an│converge (absolutely convergent).

Option C: an = 1 / n³ isn't an alternating series.  So an =│an│and both series converge (p series with p > 1).  This is absolutely convergent.

Option D: bn = 1 / (n^½) is a p series with p = ½, so this is a diverging series.  Since lim(n→∞) bn = 0, and bn is decreasing, then an converges.  So this is conditionally convergent.

Option E: (-1)³ⁿ = (-1)²ⁿ (-1)ⁿ = (-1)ⁿ, so this is an alternating series.  bn = 1 / (8 + n), which diverges.  Since lim(n→∞) bn = 0, and bn is decreasing, then an converges.  So this is conditionally convergent.

Answer:

the cooking club made 8 pies

Step-by-step explanation:

first do 60 divided by 5 to find the total number of pies you get 12

then since the cafetria donates four pies and the cooking club makes the rest,  you do 12-4=8

There were 11 pies cooked in all by the club to earn money for the basketball game.

A relation between a collection of inputs and outputs is known as a function. A function is, to put it simply, a relationship between inputs in which each input is connected to precisely one output. Each function has a range, codomain, and domain.

Given, The Cooking Club made some pies to sell at a basketball game to raise money for the new math books. The cafeteria contributed four pies to the sale.

Each Pie cut into four pieces

Since there were 60 pieces of pie

The total number of pies sell at a basketball game =  60/4

The total number of pies sell at a basketball game = 15

Also, given there were four pies donated by Cafeteria

Thus,

Total pie basketball team made = 15 - 4

Total pie basketball team made = 11

Therefore, the Total number of pies made by the club to raise funds for the basketball game is 11.

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Answer:

65

Step-by-step explanation: