What is the slope of the line described by the data in the table below?
A 2/5
B 2/3
C 5/4
D 5/2

Answer:

3x(x - 4)(x + 2)

Step-by-step explanation:

Given

3x³ - 6x² - 24x ← factor out common factor of 3x from each term

= 3x(x² - 2x - 8) ← factor the quadratic

Consider the factors of the constant term (- 8) which sum to give the coefficient of the x- term.

The factors are - 4 and + 2, since

- 4 × 2 = - 8 and - 4 + 2 = - 2, thus

x² - 2x - 8 = (x - 4)(x + 2) and

3x³ - 6x² - 24x = 3x(x - 4)(x + 2)

Answer:

3x(x - 4)(x + 2)

Step-by-step explanation:

Answer:

81°

Step-by-step explanation:

By the outside angle theroem, we know that 2 * angle APC is differece of arcs DC and AB.

Angle APC = 27° so the difference is 54°

Arc DC = 27°, so Arc AB =  27° + 54° or 81°.

Final answer:

The solution (40, 50) to the system of equations indicates that after 40 minutes, Laura has read 40 pages and Carl, with a head start, has read a total of 50 pages, option D.

Explanation:

The solution to the system of equations (40, 50) represents the amount of time Laura has spent reading and the number of pages both Carl and Laura have read. In this context, 'x' represents the number of minutes Laura has been reading her copy of the book, and 'y' represents the number of pages each person has read. Therefore, the solution (40, 50) means that after Laura has been reading for 40 minutes, Laura has read 40 pages, and Carl, who had a 10-page head start, has read a total of 50 pages.

Answer: For 1 cup of flour, there should be 6 teaspoons of vanilla.

Step-by-step explanation:

What I did is that I found what 1 ÷ 2/3 equals. To find that, I used the reciprocal so the new equation would be 1 × 3/2 which equals 3/2. So since 2/3 × 3/2 equals 1, we have to do the same to 4 teaspoons. 4 × 3/2 equals 6. Therefore, there should be 6 teaspoons of vanilla for every one cup of flour.

Hope this helps! Don't hesitate to ask for clarification.

Answer: A=w^2 + 6w

Step-by-step explanation: I know that this is way late but hopefully it will help someone else in the future.

Answer:

20 i think

Step-by-step explanation:

because their is 2 parts of the rhombus and they are both equal sides so if the one side is 10ft. then the other side is 10ft. and if you add 10+10 you get 20.

A 5" * 7" image reduced by 20% in scale to 80% of the original size will be 4" * 5.6". Roughly the size of a large flash card.

When a 5 inch by 7 inch picture is reduced using an 80% setting, the new dimensions will be 4 inches by 5.6 inches.

To calculate the new size of a 5 inch by 7 inch picture when reduced by 80%, we simply multiply both dimensions by the reduction percentage. Hence, the width and the height of the picture will be reduced to 80% of their original size.

Original width: 5 inches

Original height: 7 inches

Reduction setting: 80% (or 0.8)

New width: 5 inches × 0.8 = 4 inches

New height: 7 inches × 0.8 = 5.6 inches

Therefore, the new dimensions of the picture will be 4 inches by 5.6 inches after an 80% reduction.

Answer:

he can buy 2

Step-by-step explanation:

He can buy 2 pizzas.

Answer:

LCM=(m+1)(m-5)(m+7)

Step-by-step explanation:

Given expressions are [tex]m^2-4m-5[/tex] and [tex]m^2+8m+7[/tex].

To find the LCM, first we need to find factors of both expressions.

[tex]m^2-4m-5[/tex]

[tex]=m^2+1m-5m-5[/tex]

[tex]=m(m+1)-5(m+1)[/tex]

[tex]=(m+1)(m-5)[/tex]

Similarly factor other expression

[tex]m^2+8m+7[/tex]

[tex]=(m+1)(m+7)[/tex]

Common factor in both is (m+1)

bring down remaining non-common factors.

So LCM=(m+1)(m-5)(m+7)

Each egg will cost $0.14. Hope this helps. Please mark BRAINLIEST!:)

Each egg will cost about 14 cents

Answer:

  40 miles

Step-by-step explanation:

You can recognize the right triangle as a 3-4-5 right triangle with a scale factor of 8. So the length of the hypotenuse is 8·5 = 40 miles.

___

Or, you can use the Pythagorean Theorem, which tells you that the sum of the squares of the leg distances will equal the square of the straight-line (hypotenuse) distance:

  32² + 24² = h²

  1024 +576 = h² = 1600

  h = √1600 = 40 . . . . miles

It's C that's correct!

Since there's a total of 30 strawberries and Yuki ate 12 strawberries, there will be 18 strawberries left.

To find the percentage of the amount that remained:

18/30 × 100 = 60%

Therefore the correct option is A

Answer:

Yuki picked strawberries and placed them in a basket. Yuki ate 12 of the 30 strawberries she picked. What percentage of the strwaberries she picked remain in her basket?  

A: 12%

B: 30%

C: 60%

D: 100%​

Hope this helps :)

Have a great day !

5INGH

Step-by-step explanation:

30 - 12 = 18

18 / 30 × 100 = 60

[tex]

\frac{4}{5}\times\frac{-2}{9}=\boxed{\frac{-8}{45}}

[/tex]

Answer:48 hours and 24 minutes

Step-by-step explanation:

Errrrrrr what following. I know that you need to separate the parts into simple shapes eg:triangle and then find the area of all the shapes and add up. All the shapes should make up the shaded area.

Answer:

b

Step-by-step explanation:

Answer:

additive identity

Step-by-step explanation:

-11 + N = -11

Add 11 to each side

-11 + 11 + N = -11 +11

N = 0

When we add 0 to each side, we are adding the additive identity

Adding zero does not change the value

Answer:

a. -12

Step-by-step explanation:

The question is about  finding 3×3 matrix determinant

The general formulae for finding determinant;

when given a matrix {a  b  c}

                                  {d   e  f}   = a.x [e  f] -  b. x [d f]  + c .x [d e]

                                  {g    h  i}               [h   i]             [g i]                 [g h]

where x=determinant

Substitute values

{-1  5  1 }      {a b c}

{4  -2  2}   ={ d e f}  = -1 x{-2 2} - 5 x {4 2} + 1 x {4 -2}

{1    2   2}     {g h i}            {2  2}        {1  2}          {1    2}

=-1 {-4-4} - 5{ 8-2} + 1{ 8--2}

=-1{-8} - 5{6} + 1{10}

= 8- 30 +10

= -12

=

Answer:

Step-by-step explanation:b the answer is diversity

The solution to the system of equations 3x + 7y = 46 and -3x - 8y = 50 is x = 239.333... and y = -96. This can be verified by plugging these values back into the original equations.

To find the solution of this system of equations, we can use the method of adding the two equations together, as they are set up nicely for elimination:

Add the two equations together:

3x + 7y - 3x - 8y = 46 + 50
0x - y = 96
y = -96

Substitute y = -96 back into one of the original equations, for example the first equation:

3x + 7(-96) = 46
3x - 672 = 46
3x = 46 + 672
3x = 718
x = 718 / 3
x = 239.333...

The solution to the system is x = 239.333... and y = -96. We can verify the solutions by substituting back into the original equations.

Y = mx + b

2x + 3y = 12

3y = -2x + 12

y = -2/3 + 4

Answer:

y = -2/3x +4

Step-by-step explanation:

Slope intercept form is

y = mx+b where m is the slope and b is the y intercept

2x+3y = 12

We need to solve for y

Subtract 2x from each side

2x-2x+3y = -2x+12

3y = -2x+12

Divide by 3

3y/3 = -2/3 x +12/3

y = -2/3x +4

B, look where the function is intersecting the x-axis.

Answer:

[tex]\boxed{\textbf{B). } x = -1, x = 2}[/tex]

Step-by-step explanation:

The solutions to the quadratic function are the points where its graph crosses the x-axis.

The graph crosses the axis at x = -1 and x = 2, so the answer is

[tex]\boxed{x = -1, x = 2}[/tex]

Answer:

Desmond's spinner.

Answer:

Desmond's spinner

Answer:

Step-by-step explanation:

(look at the picture)i

We have the triangle 30° - 60° - 90°. The sides are in ratio 1 : √3 : 2.

According to the markings in my picture we have:

2a = 14, a = x, a√3 = y

Therefore

2a = 14        divide both sides by 2

a = 7 → x = 7

a√3 = 7√3 → y = 7√3

Answer:

5 hours 12 mins

Step-by-step explanation:

You run 5 miles in 1 hour.

5 miles = 1 hour

1 mile = 1 ÷ 5 = 0.2 hour

1 mile = 0.2 hour

26 miles = 0.2 x 26 = 5.2 hours

5.2 hours = 5 hours + (0.2 x 60) mins

5.2 hours = 5 hours 12 mins

If the speed is 5 miles per hour. Then the time taken to complete marathon of 26 miles will be 5 hours and 12 minutes.

The distance covered by the particle or the body in an hour is called speed. It is a scalar quantity. It is the ratio of distance to time.

We know that the speed formula

Speed = Distance/Time

You run 5 miles in 1 hour.

Then the speed will be

Speed = 5/1

Speed = 5 miles per hour

Then the time taken to complete marathon of 26 miles will be

Time = Distance / Speed

Time = 26 / 5

Time = 5.2 hours

The time 5.2 hours can be written as 5 hours and 12 minutes.

More about the speed link is given below.

https://brainly.com/question/7359669

#SPJ2

Number of people who ate fewer than two apples last week is 10.

The Correct option is (C)

Data are individual pieces of factual information recorded and used for the purpose of analysis.

It can be seen from the graph that,

0 apples eaten by 1 people

1 apples eaten by 9 people

2 apples eaten by 4 people

3 apples eaten by 5 people

4 apples eaten by 0 people

5 apples eaten by 7 people.

According to Condition,

people ate fewer than 2 apples last week= 1+9

                                                                     =10

Thus, 10 people ate fewer than 2 apples last week.

Learn more about data here:

https://brainly.com/question/11161989

#SPJ2

Answer:

Step-by-step explanation:

Solve the inequality -x/2 ≤ 1.  Let's eliminate the fraction first, by multiplying both sides by 2:

-x ≤ 2

We want to solve for +x, not for -x.

Therefore, divide both sides of this latest inequality by -1, remembering to reverse the direction of the inequality sign:

-x ≤ 2  →  x ≥ -2

Answer:

The total area of the two rectangles is [tex](5x^{2} +7x)\ units^{2}[/tex]

Step-by-step explanation:

Area of rectangle 1

[tex](x)(3x+1)=(3x^{2} +x)\ units^{2}[/tex]

Area of rectangle 2

[tex](2x)(x+3)=(2x^{2} +6x)\ units^{2}[/tex]

therefore

The total area of the two rectangles is equal to

[tex](3x^{2} +x)\ units^{2}+(2x^{2} +6x)\ units^{2}=(5x^{2} +7x)\ units^{2}[/tex]

The correct choice is [tex]5x^{2} +7x[/tex]. By expanding and combining the terms, the total area of the two rectangles is represented by the expression found.

Let's first expand each term in the expression (x)(3x+1) + (2x)(x+3) to determine the total area of the two rectangles:

Now, add the two results together:

Therefore, the expression that represents the total area of the two rectangles is [tex]5x^{2} +7x\\[/tex] .

Complete question:

The total area of two rectangles can be represented by the expression (x)(3x+1) + (2x)(x+3). Which expression represents the total area of the two rectangles?

Answer:

[tex]x>-4[/tex]

Step-by-step explanation:

Solve like a normal equation by isolating the variable and then dividing by the coefficient.

[tex]-10x<40 \\ \\ x>-4[/tex]

Answer:

x > - 4, or it can be written as (- 4, ∞)

Step-by-step explanation:

- 10x < 40

-10x/10 < 40/10

- x< 4

x > -4

Answer:500

Step-by-step explanation:26,000/52=500 i did $26,000 divided by 52 because there are 52 weeks in a year and it gave me 500 so that is how i got the answer

There are 52 weeks in a year, so the annual salary is 52 times the week salary.

So, we have

[tex]\dfrac{26000}{52} = 500[/tex]

which means that Pat makes 500$ a week

She will need 8 cups of vinegar.

Hope this helps!