find the slope.....find the slope​

Answer:

12

Step-by-step explanation:

4 ( 3x + 5 )

= 4 ( 3x ) + 4 ( 5 )

= 12x + 20

The coefficient of x in 12x is 12.

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Explanation:

Factor the given expression

x^2+x^3

x^2*1+x^2*x

x^2(1+x)

x^2(x+1)

We end up with something where the factor x^2 is a perfect square regardless of whatever we replace x with from the set {1,2,3,...,99,100}.

In short, we don't need to worry about the x^2 portion.

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The only thing of importance is the x+1 factor.

The x+1 must be a perfect square so that the original expression is as well.

Let's say M is some perfect square between 1 and 100. That means M belongs to the set of values

{1, 4, 9, 16, 25, 36, 49, 64, 81, 100}

If we want M+1 to be a perfect square, then we'll need to subtract 1 from each item in that set above to counteract the "plus 1" in "M+1".

Subtract 1 from each item to end up with this modified set

{0, 3, 8, 15, 24, 35, 48, 63, 80, 99}

--------------------

Every item mentioned in that second set will make x^2+x^3 to be a perfect square.

For example, let's pick x = 15

x^2(x+1) = 15^2*(15+1)  

x^2(x+1) = 15^2*16

x^2(x+1) = 15^2*4^2

x^2(x+1) = (15*4)^2

x^2(x+1) = 60^2

This confirms that x^2+x^3 is a perfect square for x = 15. I'll let you check the other values.

There are 10 values in the set {1^2,2^2,...,9^2,10^2} = {1,2,...,81,100}. There are also 10 values in the set {0,3,8, ..., 80, 99} we got earlier. The cardinality hasn't changed. However, we'll kick out 0 because it's not between 1 and 100. So we end up with 9 as our final answer.

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To summarize, there are 9 values of x that make x^2+x^3 a perfect square, where x is some whole number between 1 and 100 inclusive.

Answer:

1.6 hours

Step by step explanation;

1 hour would make them only 150 miles apart, 60% of 120 and 60% of 130 added together is 150 mph, so 1.6 hours

Hope this helps :)

Answer:

Mr. Smarty Pants here

Distance between some points

A and B = 2

B and C = 5

C and B = 5

Four points that are 7 away from another point

-2,1

5,-6

5,8

12,1

Distance between some points

4

Answer:

as i said i would go with 93-51=42

Step-by-step explanation:

8.7*10.6=92.22 and 8.7*10+6=93

4.8*10.3=49.44 and 4.8*10+3=51

so i am thinking that you would add 93+51 which equals 144...

or you could try 93*51 but your gunna get 4,743

or try 93-51 which is 42

or try 93 diveded by 51 which is 1.8235294117647058

I would go with 93-51=42!

hope this helped:)

After the new attraction is constructed, the park will have used 8704.8 × 10³ total gallons of water.

Algebra is the study of mathematical symbols, while logic is the manipulation of those signifiers.

Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction is referred to as the PEMDAS principle. To answer the problem properly and accurately, this rule must be followed.

A water park uses 8.7 × 10⁶ gallons of water in total for its pools, slides, and attractions. They intend to include a ride that will use an extra 4.8 × 10³ gallons of water.

After the new attraction is constructed, the park will have used the total gallons of water is given as,

⇒ 8.7 × 10⁶ + 4.8 × 10³

⇒ 8700 × 10³ + 4.8 × 10³

⇒ 8704.8 × 10³

After the new attraction is constructed, the park will have used 8704.8 × 10³ total gallons of water.

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Answer:

$525

2.9 years

Step-by-step explanation:

This question is about financial management. It is to be noted that it would take around 2.9  years for her balance to increase from $300 to $450.

Note that according to the question,

After 4 years, Emma would owe about $525 for her original purchase of $300.

The equation will be:

300 * (1 + x)[tex]^{4}[/tex] = 525 (This is based on the compound interest formula_

⇒ (1+x)[tex]^{4}[/tex] = 7/4 (If we divide both sides by 300)

Hence

x = 0.1502

= 15.02%

When the balance ups from $300 to $450,

We can state that:

300 * ( 1+ 15.02%) [tex]^{y}[/tex] = 450

⇒ Hence, y = 2.9 years.

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Answer:

a =5that is the answer ok

Answer:

A) 8/9

Step-by-step explanation:

8 divided by 9 is 0.88888888888888888888889 on a calculator

The fraction that is equal to 8/9. Then the correct option is A.

Algebra is the study of abstract symbols, while logic is the manipulation of all those ideas.

The acronym PEMDAS stands for Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This approach is used to answer the problem correctly and completely.

⇒ 0.8888...

Convert the decimal number into a fraction number, then we have

Let x = 0.8888..., then

10x = 8.888....

10x - x = 8.8888.... - 0.8888...

9x = 8

x = 8/9

The fraction that is equal to 8/9. Then the correct option is A.

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Answer:

G and F are the lines I guess? You have to use them to answer the rest of the questions.

Answer:

B. [tex]9(\frac{4}{5} * \frac{1}{3})[/tex]

Step-by-step explanation:

In mathematics, the associative property is a property of some binary operations, which means that rearranging the parentheses in an expression will not change the result. In propositional logic, associativity is a valid rule of replacement for expressions in logical proofs.

As the associate property is switching the numbers in the parentheses, B is the answer as it switched the [tex]\frac{1}{3} and \frac{4}{5}[/tex] while keeping the equation the same, and not editing any information that would change the outcome (answer) of the problem.

Answer:

$279.46

Step-by-step explanation:

to solve this equation you have to multiply 35.6 to 7.85

35.6 * 0.05 = 1.78

35.6 * 0.8 = 28.48

35.6 * 7 = 249.2

1.78 + 28.48 + 249.2 = $279.46

Answer:

Step-by-step explanation:

The figure B is the scaled copy of the figure A.

The both figures are similar to each other.

The scale factor is the ratio of corresponding sides of figure B to A:

or

On figure A sides are.

On figure B sides are.

[tex]\sf\longmapsto k=\dfrac{3}{9}=\dfrac{1.2}{3.6}=\dfrac{1}{3}[/tex]

Answer to the second question.

9

Step-by-step explanation:

3⁴ simply means 3×3×3×3=81

3² 3×3=9

81/9=9

Answer:

(b×b×b)×(b×b×b×b)

Step-by-step explanation:

Writing the equation out is the only way to remove the exponents.

Answer:

it would be 4 days

frequency is the number of days in this problem

the number of questions is on the bottom part and the days are on the left part

Answer:

Arithmetic

Step-by-step explanation:

300: 30: 3

100: 10: 1

yh is the goat and the most likely part in a world of a home and the family will not have much of the

Answer:

first choice

Step-by-step explanation:

Answer:

68

Step-by-step explanation:

Hey your so polite and it’s appreciated! First mark other side of angle (right) as 28. 180-56 = 124. Since other side is smaller don’t make it equal. So it has to be higher than 61. So it’s 68! hope this helps !

I don't know I don't know

Answer:

[tex]2(x + 1) = 2x + 1 \\ 2x + 2 = 2x + 1 \\ collecting \: like \: terms \\ 2x - 2x = 1 - 2 \\ 1x = - 1 \\ x = - \frac{1}{1} \: \: or \: \: x = - 1[/tex]

Answer:

-1

Step-by-step explanation:

Follow up from the attachment.

Figure 2

Surface area:319cm²

Volume:184cm²

Answer:

Step-by-step explanation:

To find the x-intercept, let y = 0 and solve the resulting equation for x:

-2x + 3(0) = 10, or -2x = 10.  This results in x = -5; the x-intercept is (-5, 0).

To find the y-intercept, let x = 0 and solve for y:  -2(0) + 3y = 10, or y = 10/3.

The y-intercept is (0, 10/3).

Answer:

2/3 My guy

Step-by-step explanation:

Answer:

The completeness property for points in the plane tells us two things

Exactly one point in the plane is named given the numbers of the ordered pair and

Exactly one ordered pair of numbers names a given point in the plane.

To graph a point one draws a dot at the coordinates that corresponds to the ordered pair. It's always a good idea to start at the origin. The x-coordinate tells you have many steps you have to take to the right (positive) or left (negative). And the y-coordinate tells you have many steps to move up (positive) or down (negative).

To find out the coordinates of a point in the coordinate system you do the opposite. Begin at the point and follow a vertical line either up or down to the x-axis. There is your x-coordinate. And then do the same but following a horizontal line to find the y-coordinate.

A relation is a set of ordered pairs. The first coordinate (usually the x-coordinate) is called the domain and the second (usually the y-coordinate) is called the range. If you remember from earlier chapters the domain contains values that correspond to the independent variable whereas the range contains values corresponding to the dependent variable.

Step-by-step explanation:

Answer:

The four most common are probably line graphs, bar graphs and histograms, pie charts, and Cartesian graphs

Answer:

A pie chart is to illustrate numerical proportion.

Line graphs are used to track changes over short and long periods of time.

Bar graph is a graph that presents categorical data.

Scatter plots' uses are to observe and show relationships between two numeric variables.

Step-by-step explanation:

:)