Question 1 of 10
2 Points
Use long division to find the quotient below.
(3x² - 5x-2) = (x-2)
A. 24-1
B. 3x-1
C. 2x+1
D.3x + 1

Answer:

8x + 6 = 7x

x = -6

Step-by-step explanation:

this is the solution

In order to get this answer you will have to use PEMDAS and solve the expression step by step.

[tex]4(3-1)2[/tex]

Using PEMDAS:

[tex]3-1=2[/tex]

[tex]4\times2\times2[/tex]

[tex]2\times4=8[/tex]

[tex]8\times2[/tex]

[tex]8\times2=16[/tex]

[tex]=16[/tex]

Therefore your answer is option C "16."

Hope this helps.

Answer:

C. 16

Step-by-step explanation:

basically the order of operations states you deal with parentheses first then indices then either division/multiplication and then addition/subtraction

So when you deal with 3- 1=2

the only operation left is multiplication(something in parenthesis stuck on another mathematical term without any other operation attached to it signals multiplication and it is commutative so it can be done in any pair. so u have 4×2×2=16

Answer:

Step-by-step explanation:

4x - 48 = x there is the equation

Answer:

x = 48/5

Step-by-step explanation:

Let x = number, then:

[tex]48 - 4x = x[/tex]

By adding 4x on each side:

[tex] 48 - 4x + 4x = x + 4x[/tex], which is [tex] 48 = 5x [/tex]

Then, divide by 5 on both sides:

[tex]\frac{48}{5} = \frac{5x}{5}[/tex]

Simplifying x = 48 / 5

Answer:

C (-16, 3)

Step-by-step explanation:

[tex] 12 + 3 \leqslant - 3 \times - 16 \\ 15 \leqslant 48[/tex]

replace x and y

Answer:

c) (-16,3)

Step-by-step explanation:

Given: inequality [tex]12+\text{y}\leq -3\text{x}[/tex]

To Find: Which ordered pair is part of the solution set of the inequality

Solution:

Simplifying inequality,

[tex]12+\text{y}\leq -3\text{x}[/tex]

[tex]12}\leq -3\text{x}-\text{y[/tex]

now,

putting ordered pairs from options

a) [tex](3,-16)[/tex]

[tex]-3\times3-(-16)[/tex][tex]16-9=7[/tex]

as [tex]7<12[/tex], it does not satisfy inequality

b)  [tex](4,-1)[/tex]

[tex]-3\times4-(-1)[/tex][tex]1-12=-11[/tex]

as [tex]-11<12[/tex], it does not satisfy inequality

c)  [tex](-16,3)[/tex]

[tex]-3\times(-16)-(3)[/tex][tex]48-3=45[/tex]

as [tex]45>12[/tex], it satisfy inequality

d)  [tex](1,4)[/tex]

[tex]-3\times1-(4)[/tex][tex]-3-4=-7[/tex]

as [tex]-7<12[/tex], it does not satisfy inequality

So, from above only option c is part of the solution set of inequality.

Answer:

the answer is 14

Step-by-step-explanation

the first equation is 8x-17

the second one is 6x+11

do some simple calculations to find x on both and compare.

Answer:

its 14

Step-by-step explanation:

the first equation is 8x-17

the second one is 6x+11

do some simple calculations to find x on both and compare.

just did it on a Quiz i hop this helped :D

Answer:

Exact Form: 179/21

Decimal Form: 8.523809

Mixed Number Form: 8 11/21

Step-by-step explanation:

Convert the mixed numbers to improper fractions, then find the LCD and combine.

The number of boys in class is 9.

Let the number of boy = b and girls = g

We can create the following equations from the parameters

b + g = 27 ____(1)

g - 3 = 3(b - 4) ___ (2)

From (1)

g = 27 - b ___(3)

Substitute (3) into (2)

27 - b - 3 = 3(b - 4)

24 - b = 3b - 12

collect like terms

-b - 3b = -12 - 24

-4b = -36

b = 9

Hence, the number of boys is 9

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Answer: look below

Step-by-step explanation:

Write: -7-(-3)=-4

Solve: -7-(-6)=-1

Division the action of separating something into the parts. It is a basic mathematics operation. The number of pies made by the cooking club to sell  at a basketball game to raise money for the  new math books is 2.

The cafeteria  contributed three pies to the sale.

Each  pie was then cut into five pieces and sold.

There were a total of 40 pieces to sell.

Division the action of separating something into the parts. It is a basic mathematics operation.

Total 40 pieces are there to sell. Each  pie was cut into five pieces. Hence the total pie in 40 pieces were,

[tex]=\dfrac{40}{8}[/tex]

[tex]=5[/tex]

Thus total 5 pies was made.

Now as the cafeteria contributed three pies to the sale but we have total 5 pieces was made. For find out the number of pies made by the cooking club we have to subtract the total pies made to the pies contributed by the cafeteria.Thus the number of pies made by the cooking club,

[tex]=5-3[/tex]

[tex]=2[/tex]

Hence the number of pies made by the cooking club  to sell  at a basketball game to raise money for the  new math books is 2.

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Answer:

The answer is 6.875 inches.

Step-by-step explanation:

After a snow storm, Michael measured [tex]6\frac{7}{8}[/tex] inches of snow.

We will convert this to improper fraction and then solve.

[tex]6\frac{7}{8}=\frac{55}{8}[/tex]

Now we can divide 55 by 8 to get decimal value.

This becomes 6.875 inches.

The y-intercept of the line y = 5 is given as: 5

The general form of the equation of the line in slope intercept form is expressed as:

y = mx + c

where:

m is slope

c is y-intercept

Now, we are told that the equation is y = 5

This tells us that the y-intercept is 5

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Answer:

Step-by-step explanation:

Question 13: The answer is D

Question 7: The answer is C

Question 14: The answer is B

And the question for the last Pic, the correct graph is B.

Answer:

d

c

b

b

Step-by-step explanation:

This answer provides complete sentences in Spanish to answer the questions, along with examples of activities and ways to agree in Spanish.

21. Sí, me gusta jugar videojuegos. (Yes, I like playing video games.)

22. Me gusta leer y practicar deportes. (I like reading and practicing sports.)

23. No me gusta hacer ejercicio y estudiar matemáticas. (I don't like exercising and studying math.)

24. Dos formas de estar de acuerdo en español son: 1) A mí también, 2) Yo tampoco. (Two ways to agree in Spanish are: 1) Me too, 2) Me either.)

25. Me gusta más nadar que esquiar. (I like swimming more than skiing.)

Answer: b. Z+5

Step-by-step explanation:

B. Z+5

Let’s say z was 9

The only equation that would work to find 5 more that 9 is 9+5

Answer:

Step-by-step explanation:

The two temperatures that will be located as shown in the vertical number line representing a thermometer will be:

4°C  and -4°C

Given that the vertical number line is to be used to represent a thermometer.

If 0 represents 0°C on the vertical number line, therefore:

Therefore, the two temperatures that will be located as shown in the vertical number line representing a thermometer will be:

4°C  and -4°C

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Answer:

The area of the figure is 48 cm^2

Step-by-step explanation:

Break it into 3 different quadrilaterals and find the area of each one.

Answer:

[tex]2t-t+4=0[/tex] gives me [tex]t=-4[/tex]

This is a linear equation.

Did you really mean [tex]2t-t+4=0[/tex]? I just want to make sure since you said something about a quadratic in your question.

Step-by-step explanation:

[tex]2t-t+4=0[/tex] can be simplified to [tex]t+4=0[/tex].

This is a linear equation since the exponent on all the variables we have is 1.

To solve [tex]t+4=0[/tex] for t we are going to subtract 4 on both sides:

[tex]t+4-4=0-4[/tex]

[tex]t=-4[/tex]

Answer: 2/3

Step-by-step explanation: In this problem, we have 8/15 ÷ 4/5. Dividing by a fraction is the same as multiplying by its reciprocal. In other words, we can change the division sign to multiplication and flip the second fraction.

8/15 ÷ 4/5 can be rewritten as 8/15 × 5/4

Now, we are simply multiplying fractions so we multiply across the numerators and multiply across the denominators.

8/15 × 5/4 = 40/60 = 2/3

Answer:

17=3x+2            x=5  

Step-by-step explanation:

3x+2=17

3x=17-2

x=15/3

x=5

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Final answer:

The volume of the earth is approximately 1.0839 x 10¹⁵ cubic miles.

Explanation:

To find the volume of the earth, we can use the formula for the volume of a sphere: V = (4/3)πr³. Since we are given the diameter of the earth, we can calculate the radius by dividing the diameter by 2. In this case, the diameter is 7917.5 miles, so the radius is 3958.75 miles. Now, we can substitute the radius into the formula to find the volume:

V = (4/3)π(3958.75 miles)³

V ≈ 1.0839 x 10¹⁵ cubic miles.

The speed of each planes are 375 mph and 415 mph.

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Now,

Let x be the speed of the slower plane, in mph.

Then, the speed of the other plane is x +40 mph.

Hence, The distance between two planes decreases at the rate;

⇒ x + (x+40)

⇒ 2x + 40 mph.

So, we can write equation as;

⇒ 3950 / (2x+40) =  5

⇒ 3950 = 10x + 200

⇒ 10x = 3750

⇒ x = 375

Thus, The speed of the slower plane = x

                                                         = 375  mph.

And, The speed of the other plane = x +40

                                                      = 375 + 40

                                                      = 415 mph.

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Final answer:

To solve the problem, we use the concept of relative speed and set up an equation with the combined distance traveled by both planes. Solving the equation reveals that the speed of the slower plane is 375 mph and the faster plane is 440 mph.

Explanation:

The problem of two planes flying toward each other with a speed difference and meeting after a certain amount of time is a typical algebra question in relative speed and motion. We can let the slower plane's speed be x mph and the faster plane's speed be x + 65 mph. Since they meet after 3 hours and are 2445 miles apart, the sum of their distances traveled will equal 2445 miles.

Using the equation d = rt, where d denotes distance, r the rate, and t the time, we set up two expressions for the distances each plane travels:

We then add these expressions and set the sum equal to the total distance:

3x + 3(x + 65) = 2445

Solving for x, we get:

6x + 195 = 2445

6x = 2445 - 195

6x = 2250

x = 375

Therefore, the speed of the slower plane is 375 mph and the speed of the faster plane is 375 + 65 = 440 mph.

Answer:

Step-by-step explanation:

The formula of an area of a triangle:

[tex]A=\dfrac{1}{2}bh=\dfrac{bh}{2}[/tex]

b - base

h - height

We have b = 15, A = 200.

Substitute:

[tex]200=\dfrac{15h}{2}[/tex]

[tex]200=7.5h[/tex]              divide both sides by 7.5

[tex]\dfrac{200}{7.5}=\dfrac{7.5h}{7.5}[/tex]

[tex]h\approx26.7[/tex]

Answer:

the numbers are 3 and 5

Step-by-step explanation:

x = first number

y = second number

a.        x+2 = y

b.        x^2 + y^2 = 34

Replace y from equation a into equation b:

x^2 + (x+2)^2 = 34

Expand it

x^2 + x^2 + 4x + 4 = 34

2*x^2 + 4x = 30

2x^2 + 4x - 30=0

solving x:

x = -5 and x =3 , it says it is a positive number, then it is x is 3

and the second number, y = x + 2

y = 5

Lets test it!

3^2 + 5^ 2 = 9 + 25 = 34

Answer:

A

Step-by-step explanation:

1. 3.59 + 4.25 =7.84

2. 20.00 - 7.84 =12.16

Answer: E=mc^2

E/m=c^2

Square root of e/m = c

C = square root symbol e/m

Yw :)

The inverse function of f(x) = -0.75x is [tex]\(f^{-1}(x) = -\frac{4}{3}x\)[/tex].

To find the inverse function [tex]\( f^{-1}(x) \)[/tex]for the given function f(x) = -0.75x , you can follow these steps:

1. Start with the original function:

   f(x) = -0.75x

2. Replace f(x)  with y:

   y = -0.75x

3. Swap x and y to solve for x:

x = -0.75y

4. Solve for y:

  Divide both sides by -0.75:

[tex]\( y = \frac{x}{-0.75} )\\ \( y = -\frac{4}{3}x \)[/tex]

5. Replace y with [tex]\( f^{-1}(x) \)[/tex]:

[tex]\( f^{-1}(x) = -\frac{4}{3}x \)[/tex]

So, the inverse function for f(x) = -0.75x  is [tex]\( f^{-1}(x) = -\frac{4}{3}x \)[/tex].

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Final answer:

The response provides the inverse function of f(x) = -0.75x step-by-step.

Explanation:

Given: f(x) = -0.75x

To find the inverse function f-1(x):

Replace f(x) with y: y = -0.75x

Swap x and y: x = -0.75y

Solve for y: y = x/-0.75 = -4/3x

Therefore, f-1(x) = -4/3x