Mathematics Middle School

given f(x)=6x+2 and g(x)=x^3 what is f(x) x g(x)?

a. 6x^4+2
b. 8x^2
c. 6x^4+2x^3
d. 6x^3+2

Answers

Answer 1
The answer is C. You distribute the x^3 (or g(x)) to the 6x+2. x^3 * 6x = 6x^4 and x^3* 2 = 2x^3, giving you 6x^4 +2x^3
Answer 2
[tex](6x + 2) \times (x^{3}) = \\ {x}^{3} \times 6x \: + {x}^{3} \times 2 = \\ 6 {x}^{4} + 2 {x}^{3} [/tex]
Alternative C

Related Questions

solve the equation. choose the answer in simplest form. 4x= 8/7 (A) 1/28 (B) 1/7 (C) 2/7 (D) 7/2

Answers

4x=8/7
x=(8/7)÷4
x=2/7
4x = 8/7
/4     /4

x = (8/7)/4 (Keep, change, flip)
x = 8/7 * 1/4
x = 8/28
x = 2/7

7.68 cal/sec to Kcal/min

Answers

1 minute = 60 seconds

 first covert cal/sect o cal/min

7.68 cal/sec x 60 seconds = 460.8 cal/min

1 Kcal = 1000 cal

divide cal by 1000 to get Kcal

460.8 cal/min / 1000 = 0.4608 Kcal/min
 round answer as needed



HELP QUICKLY
15 men and 20 women what is the experimental probability that the next person to enter the store will be a man?

Answers

To find probability, you write a fraction with the numerator as the subject you are trying to find the probability of and with a denominator as the total number of subjects. The total number of subjects is 35 (or 15 + 20). The subject we are finding the probability of is men, which there are 15 of. Therefore the fraction would look like this:

15/35
which we can simplify to 
3/7

The probability that the next person to enter the store will be a man is 3/7

Answer: 3/7

Women: 20

Men: 15

Total: 35

15/35 is simplified to 3/7

120e^(2x)=75e^(3x)
Please solve with steps

Answers

Step 1. Take natural logarithm to both sides of the equation:
[tex]120e^{2x}=75e^{3x}[/tex]
[tex]ln(120e^{2x})=ln(75e^{3x})[/tex]

Step 2. Apply product rule of logarithms [tex]ln(ab)=ln(a)+ln(b)[/tex]:
[tex]ln(120)+ln(e^{2x})=ln(75)+ln(e^{3x})[/tex]

Step 3. Apply the rule [tex]ln(e^x)=x[/tex]:
[tex]ln(120)+2x=ln(75)+3x[/tex]

Step 4. Solve for [tex]x[/tex]:
[tex]ln(120)+2x=ln(75)+3x[/tex]
[tex]ln(120)-ln(75)=3x-2x[/tex]
[tex]x=ln(120)-ln(75)[/tex]
Apply the quotient rule of logarithms [tex]ln(a)-ln(b)= ln(\frac{a}{b} )[/tex]:
[tex]x=ln( \frac{120}{75} )[/tex]
[tex]x=ln( \frac{8}{5} )[/tex]

We can conclude that the solution of our equation is [tex]x=ln( \frac{8}{5} )[/tex], which is approximately [tex]x=0.47[/tex].

What is the equivalently non equivalent

Answers

Answer:
1/2 and 5/8 are not equivalent

Explanation:
The term equivalent means that a number or term has the same numerator-to-denominator (proportional) ratio as another number.

1/2 and 2/4 would be equivalent because if you divide the numerator and the denominator of the second fraction by 2, the result is the 1/2.

If you divide the denominator of 5/8 by 4, the result is a 2, matching the denominator of 1/2. However, if you divide the numerator by 5, the result is 1.25, which does not match the numerator of 1/2.

Therefore, these two numbers are not equivalent.

The endpoints of GE are located at G(-6,-4) , and E(4,8). Using slope-intercept form, write the equation of GE.

Answers

Answer:

The line would be y = 6/5x + 26/5

Step-by-step explanation:

To find the equation, we first need to find the slope. We can do this by using the slope formula.

m(slope) = (y2 - y1)/(x2 - x1)

m = (8 - -4)/(4 - -6)

m = 12/10

m = 6/5

Now that we have the slope, we can use that and either point in point-slope form to get the equation.

y - y1 = m(x - x1)

y - 8 = 6/5(x - 4)

y - 8 = 6/5x - 24/5

y = 6/5x + 26/5

Why is a square a rectangle and a rhombus??

Answers

A square Counts as a rectangle and a rhombus because of the sides and points that is has.
A square is a rectangle because it has 4 sides and 4 right angles.

A square is a rhombus because it has 4 equal sides.

i need your help please!!!

Answers

In order to find the area of the semicircle, or the shaded region, we just have to find the area of the entire circle and divide it by 2. The formula for the area of a circle is [tex] \pi r^{2} [/tex]. With the given diameter of 12, we can deduce that the radius is 6.

Area of Semicircle = ([tex] \pi 6^{2} [/tex]/2)
Area of Semicircle = (3.14 x 36/2)
Area of Semicircle = (3.14 x 18)
Area of Semicircle = 56.52[tex] in.^{2} [/tex]

Hope this helps!
To do this first find the area of a circle. The area of a circle uses this formula...

[pi]r^2

So substituting...

The diameter is 12 in. And radius is half of the diameter.

12/2=6. The radius is 6 in.

To finish this, we do the r^2, which is 6^2, which is 36.

Finally, we multiply pi by 36, in this question we found pi to 3.14.

The area of the circle is 113.04 in. BUT, Half of the circle, that is being shaded, would subtract half of the circle away from the total area.

So we do 113.04/2=

56.52.

The answer is that the shaded/not shaded side of the circle is equal to 56.52 in.

A computer store builds custom computers by allowing customers to choose 1 of 4 different CPUs, 1 of 8 hard drives, and 1 of 3 videos cards. How many different computers are possible?

Answers

There are 96 possible combinations.

The fundamental counting principle states that the number of total options is given by multiplying the number of possibilities for each option, or
Total choices = choices x choices x ...

4*3*8 = 96

The base of this regular right pyramid is a square. What is its surface area?
base edge = 8in
Height = 12in

Answers

p=4(8)=32  inches

B=8^2=64  inches2

T.S.A.=1/2(32)(12)+ 64           
   =192+ 64 
     =  256 inches2

Answer:

C

Step-by-step explanation:

A rectangular jewelry box costs $125 to gold plate. Calculate the cost of gold plating a box which is similar in shape and that holds 8 times as much.

The answer is not $1,000 or $8,000 or $64,000

Answers

To determine the amount of gold plating necessary for the similar box, you will use the fact that it is 8 times larger in volume to determine how many times larger the area is.  This would be what you will multiply $125 by.

Volume is a three dimensional measurement, so the fact that it is 8 times larger tells us each dimension was 2 times larger (2 x 2 x 2=8).  

Area is a two dimensional measurement, so the area would have been 2 x 2 or 4 times larger.  This means the price would be 4 times as much.
$125 x 4 = $500.

It will cost $500 to gold plate the similar jewelry box.

What is the angle of rotation of this regular decagon? What is the measure of an interior angle?

Answers

A decagon has 10 sides. If the polygon is symmetrical, the angle of rotation is given by the following equation:

360 / (number of sides)

Therefore, 

360 = 10 = 36.

The interior angles are determined by the following equation:

180 - (angle of rotation)

Therefore, 

180 - 36 = 144

The answer is A.

The height h of an arrow in feet is modeled by h(t) = -16t^2 + 63t +4, where t is the time in seconds since the arrow was shot. what is the height of the arrow after 2 seconds?

Answers

The answer is 66.

If you substitute in the formula t = 2, you will get 66.

Hope this helps you!

the product of two consecutive even integers that are negative is 224. Write an equation and find the two integers.

Answers

x=14 or x=-16 
the first integer be x and the second one will be x+2


150% of A is equal to $120

Answers

So, your question is kind of vague (if not even a question), but I'll guess on what you want...

So, to find 150% of A, we use this equation:
1.5a = 120
We divide both sides by 1.5 to isolate a:
a = 80
150% of 80 is equal to 120
We can make this into an equation like so:

150/100A=120

Simplify

3/2A=120

A=80

HELP PLZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZ!!!

Which of the following best describes the expression 9(x + 7)?

A. The sum of constant factors 9 and x + 7
B. The product of constant factors 9 and x + 7
C. The product of a constant factor 9 and a 2-term factor x + 7
D. The sum of a constant factor 9 and a 2-term factor x + 7

Answers

The product of constant factors 9 and x + 7

Answer:

THE ANSWER IS C NOT D

Step-by-step explanation:

The answer is C i got it correct on the test DON'T LISTEN TO THE PEOPLE THAT SAY D

Tommy conducts an experiment where he rolls a number cube, with sides labeled from 1 to 6, and then flips a coin. This table shows the results from 12 trials. Results 1 H 4 T 1 H 5 T 2 H 3 T 6 T 2 H 3 T 5 T 3 H 4 T How do the experimental probability and theoretical probability of rolling an odd number and then flipping a tail in Tommy's trials compare? Drag and drop the values or phrases to correctly complete the sentence. The experimental probability is , which is the theoretical probability of .

Answers

The experimental probability is greater than the theoretical probability.

The theoretical probability of rolling an odd and flipping a coin is 1/4.
1/2 x 1/2 = 1/4

Looking at the results, there are 4 occasions where an odd numbers was flipped then tails.

That is 4 out of 12 or 1/3 which is more than 1/4 for the theoretical.

Answer:

The experimental probability is greater than the theoretical probability.

Step-by-step explanation:

Edg : )

solve using quadratic equations

Answers

4x² - 9x² + 5 = 0
4x² - 4x - 5x + 5 = 0
4x(x - 1) - 5(x - 1) = 0
(4x - 5)(x - 1) = 0

Set each binomial equal to zero. 

4x - 5 = 0
4x = 0 + 5
4x = 5
x = 5/4

x - 1 = 0
x = 0 + 1
x = 1

Your solutions are x = 1, 5/4

can you solve x = 29 - 3(9 - 4)

Answers

The answer is 14. The first step is to subtract 4 from 9 (in PEMDAS you always do the equation in the parenthesis). Next, multiply (M= multiply, there are no exponents) -3 by 5 which gives you -15. Now, subtract 15 from 29 and the answer is 14.

The solution of expression is.

⇒ x = 14

We have to given that,

An expression,

⇒ x = 29 - 3 (9 - 4)

Now, We can solve the expression for value of x as,

⇒ x = 29 - 3 (9 - 4)

⇒ x = 29 - 3 × 5

⇒ x = 29 - 15

⇒ x = 14

Therefore, the solution of expression is.

⇒ x = 14

Learn more about the mathematical expression visit:

brainly.com/question/1859113

#SPJ6

LMN≅PQR



What is the value of x in degrees?



Enter your answer in the box.



​x​ = °

Answers

LMN≅PQR means that point L is equal to P, point M is equal to Q, and point N is equal to R. All lines are the same.

Point Q has an angle of 72, which means that point M also has an angle of 72.

Now you have two angles to find x. All interior angles of a triangle add up to 180, so you can set up the following equation to find x:

72 + 36 + x = 180

Subtract 36 from both sides.

72 + x = 144

Subtract 72 from both sides.

x = 72

The angle of point L, x, is 72.


Answer:

Step-by-step explanation:

72

 WILL GIVE BRAINLIESTWhich of the following represents the ratio of the hypotenuse to the given side

Answers

The hypotenuse is 6√2 .
The 'given' side is the one with the length marked.  That's 6 .
Their ratio is

6√2 / 6 .

In simplest form, that's √2 .  (B)

Which pair of numbers is an example of opposites? 1/2 and 2 -1/2 and 2 -2 and 1/2 -2 and 2

Answers

Opposites are a positive and a negative that are both an equal distance from zero on the number line. The only numbers listed that are both the same distance from zero on the number line are -2 and 2. Each is two away from zero, although in different directions.


ANSWER: -2 and 2

Hops this helps! :)

Answer is : -2 and 2

Step-by-step explanation:

mrs.beluga is driving on a snow covered road with a drag factor of 0.2. she brakes suddenly for a deer. The tires leave a yaw mark with a 52 foot chord and a middle ornate of 6 feet. What is the minimum speed she could have been going?

Answers

First, we are going to find the radius of the yaw mark. To do that we are going to use the formula: [tex]r= \frac{c^2}{8m} + \frac{m}{2} [/tex]
where 
[tex]c[/tex] is the length of the chord 
[tex]m[/tex] is the middle ordinate 
We know from our problem that the tires leave a yaw mark with a 52 foot chord and a middle ornate of 6 feet, so [tex]c=52[/tex] and [tex]m=6[/tex]. Lets replace those values in our formula:
[tex]r= \frac{52^2}{8(6)} + \frac{6}{2} [/tex]
[tex]r= \frac{2704}{48} +3[/tex]
[tex]r= \frac{169}{3} +3[/tex]
[tex]r= \frac{178}{3} [/tex]

Next, to find the minimum speed, we are going to use the formula: [tex]s= \sqrt{15fr} [/tex]
where
[tex]f[/tex] is drag factor
[tex]r[/tex] is the radius 
We know form our problem that the drag factor is 0.2, so [tex]f=0.2[/tex]. We also know from our previous calculation that the radius is [tex] \frac{178}{3} [/tex], so [tex]r= \frac{178}{3}[/tex]. Lets replace those values in our formula:
[tex]s= \sqrt{(15)(0.2)( \frac{178}{3}) } [/tex]
[tex]s= \sqrt{178} [/tex]
[tex]s=13.34[/tex] mph

We can conclude that Mrs. Beluga's minimum speed before she applied the brakes was 13.34 miles per hour. 

The minimum speed Mrs. Beluga could have been traveling when she braked suddenly on the snow-covered road is approximately 13.68 mph.

To find this, we can use the formula for determining speed from yaw marks: v = √(15 × f × R), where v is the speed in miles per hour, f is the drag factor (0.2 in this case), and R is the radius of the yaw mark.

First, we need to determine the radius of the yaw mark using the given chord length (52 feet) and middle ordinate (6 feet). The formula for R using these values is: R = (C² / 8M) + (M / 2), where C is the chord length and M is the middle ordinate.

Plugging in the values, we get:
R = (52² / 8 × 6) + (6 / 2)Calculating inside the parentheses:
R = (2704 / 48) + 3This simplifies to:
R ≈ 59.42 + 3Thus, R ≈ 62.42 feet.Now, plug R and f into the speed formula:
v = √(15 × 0.2 × 62.42)Calculating inside the square root:
v = √(187.26)This yields:
v ≈ 13.68 mph.

Therefore, the minimum speed Mrs. Beluga could have been traveling was approximately 13.68 mph.

The school's basketball team lost 4 times as many games as they won. They also tied 5 fewer games than they won.

If they played 43 games, how many did they lose?

Answers

If they played 43 games, the number of games that they lost is: 32

How to save algebra word problems?

Let

x represent number of games won

Let y represent number of lost games.

Thus;

y = 4x - - - - - equation (I)

Let z denote tied games.

Thus;

z = x - 5 - - - - - equation(II)

Total games played is 43.

Thus;

x + y + z = 43 (III) equation

substitute (I) and (II) in (III)

therefore

x+(4x)+(x-5)=43

6x-5=43

x=48/6

x=8

y = 4x

= 4*8 =32

The answer is 32 lost games

Jonathan bought 10lb of flour at 7.50 he had a store cupon for 0.79 what was the final price for flour

Answers

your answer is $6.71 .

PLZ HELP ASAP Using the frequency table below, find how many students received a score of 70 or better on a mathematics test.
A.19
B.12**
C.17
D.14
Score Interval Frequency

50 – 59 [2]

60 – 69 [5]

70 – 79 [5]

80 – 89 [7]

90 – 99 [2]

Answers

Okay this one is pretty easy.

Here are the steps:
1. we know that 70 - 79 = 5 students 80 - 89 = 7 students 90 - 99 = 2 students. 
2. ADD
3. 5 + 7 + 2= 14 
4. ANSWER


A: D there are 14 students scored 70 and above! 
Hope this helped! (tell me if i'm wrong or right please!!!)
 

Answer:

D.14

Step-by-step explanation:

To find out the answer, we need to add up all the student s that a 70 or above. 5 got 70-79, 7 got 80-89, and 2 got 90-99.Add these up and we get 14. The answer is D.14

Is 7/8 the right answer

Answers

Yes you would be correct!
Yes 1 3/4 - 7/8=7/8 hope this helps

solve the area of a triangle for b and use the resulting formula to find the base of a triangle with a height of 6 ft. and an area of 9 ft. ^2.

Answers

The formula of the area of a triangle:

[tex]A_\Delta=\dfrac{bh}{2}[/tex]

b - a base
h - a height

We have:
h = 6ft.and A=9 ft.²

substitute:

[tex]\dfrac{6b}{2}=9\\\\3b=9\ \ \ |:3\\\\b=3\ ft.[/tex]

Answer: b = 3ft.

Only 6 of the 75 trees in a park are at least 30 feet tall. What percent of the trees are under 30 feet tall?

Answers

Percentage of tress under 30 = 6/75 x 100 = 8%

Answer: 8%

Answer:

8%

Step-by-step explanation:

what is the missing constant term in the perfect square that starts with x^2 +6x

Answers

I'm not really sure how to explain this, but this is just a perfect square I'm familiar with.


The answer is 9
x^2 + 6x + 9 is the same thing as (x+3)^2
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