Which statement best describes the function below

Answer:

[tex]Slope:\frac{3}{2}\\y-intercept:2[/tex]

Step-by-step explanation:

Our first step would be to distribute this 3 through the

parentheses to get 3x + 3 on the right side of the equation.

On the left bring down your y - 2 to get y - 2 = 3x + 3.

Next we would move the -2 to the right side of the

equation by adding 2 to both sides to get y = 3x + 5.

Now, this equation is written in slope-intercept form because

the y is by itself on the left side of the equation.

12^2 + 9^2 = x^2

144 + 81 = x^2

225 = x^2

√225 = √x^2

x = 15

Answer:

A

Step-by-step explanation:

49-45 = 4 wrong

4/49 = 0.08163

        = 8.16%

Answer:

A) 8.16

Step-by-step explanation:

1) Subtract 49-45

2) Divide 4/49 and multiply by 100

3) Then multiply by 100

Hope this helped

Answer: Wheres the table

Step-by-step explanation:

Answer:

Step-by-step explanation:

40

Answer:

4.75

Step-by-step explanation:

u = 10  a = -2  t = 0.5 (half)

need to work out u times t add 0.5 times a times t ^2

so 10 x 0.5 + 0.5 x -2 x 0.25

= 4.75

Answer:

s=4.5 m

Step-by-step explanation:

in the equation s=ut+1/2at squared, u=10, a=-2, and t==1/2. So substitute the given values by the units u, a and t.

[tex]s=ut+\frac{1}{2} at^{2} \\s=10*\frac{1}{2}+-2*\frac{1}{2}^{2}\\ s=5+(-2)*\frac{1}{4}\\ s=5+\frac{-2}{4}\\ s=\frac{5*4-2}{4}\\ s=\frac{20-2}{4}\\ s=\frac{18}{4}\\ s=4.5 m[/tex]

Answer:

500 liters

Step-by-step explanation:

We want to find the total amount of water that was drained.

He drained 62.5 liters of water per minute and this went on for 8 minutes. The total amount of water drained is:

62.5 * 8 = 500 liters of water

Answer:

Givens

Notice that the window is a square, that means all four sides are congruent, so it has 8 meters in total, which would cost 24 euros plus the crystal. Therefore, the total cost of a window with 2 meters side is 24+12 = 36 euros.

Specifically, the function of the cost is: [tex]C(x)=3x+12[/tex], where [tex]x[/tex] represents meters of sides. (C)

[tex]60=3x+12\\60-12=3x\\x=\frac{48}{3}=16[/tex]

The window has 16 meters between the four sides, which gives 5 meters per side.

The graph of the function is attached.

Answer:

1.49216*10^8 km

Step-by-step explanation:

The first thing is to pass all the distances to the same unit system, since the distance from the earth to the sun is in kilometers and from the earth to the moon is in meters, therefore we will pass the distance of the moon in kilometers:

3.84 x 10 ^ 8m * 1 km / 1000 m = 3.84 x 10 ^ 5 km

To calculate the distance between the moon and the sun, it would be the difference between the distance they give us in the statement, because they have a point in common which is the earth, it would be:

1.496 x 10 ^ 8 km - 3.84 x 10 ^ 5 km = 149216000 = 1.49216 * 10 ^ 8 km

Therefore the distance between the moon and the sun is 1,49216 * 10 ^ 8 km

Answer:

Number of 10 cent coins = 14

Number of 50 cent coins = 7

Step-by-step explanation:

Let the number of coins of 10 cents = a

and the number of coins of 50 cents = b

Total count of coins = 21

a + b = 21  ---------(1)

Value of 10 cent coins = $0.10

Value of a coins of 10 cents = 0.10a

Value of 50 cent coins = $0.50

Value of b coins of 50 cents = 0.50a

The value of these coins = $4.90

0.10a + 0.50b = 4.90

a + 5b = 49 --------(2)

By subtracting equation (1) from equation (2)

(a + 5b) - (a + b) = 49 - 21

4b = 28

b = 7

From equation (1),

a + 7 = 21

a = 21 - 7

a = 14

Therefore, number of 10 cents coins = 14

number of 50 cent coins = 7

Answer:

A is the answer

Step-by-step explanation:

5(2x+1)<10

10x+5<10

     -5  -5

____________

     10x<5

   ——   —-

    10      10

———————-

    x < 1/2

Answer:

a.x<1/2

Step-by-step explanation:

5(2x+1)<10

2x+1< 5/10

2x+1<2

2x<2−1

2x<1

x< 1/2

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Answer:

area of the kitchen

Step-by-step explanation:

in real life the dimensions are 10*40=400 cm=4 m and 18*40=720 cm=7.2 m

Area of the bedroom is A=4*7.2=28.8  m^2

Area of the kitchen  is  300.000 cm^2=30 m^2

30>28.8

The bigger area is  area of the kitchen

The bigger area between bedroom and kitchen is kitchen which is 30 m^2

Area can be find of l length and b breadth sides is

Area = l b

Here the scale of bedroom is given that is 1 : 40

If bedroom is rectangle and measuring 10 cm and 18 cm then dimensions are

l = 10x40 = 400 cm = 4 m

b = 18x40 = 720 cm = 7.2 m

Therefore the area will be

Area of bedroom = 4x7.2 = 28.8 m^2

And we have given

Area of the kitchen = 300,000 cm^2

Convert into m^2 we have

Area of the kitchen = 30 m^2

This shows the area of the kitchen is bigger than the area of the bedroom

This is the conclusion to the answer.

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Answer:

Step-by-step explanation:

slope = [tex]\frac{vertical}{horizontal}[/tex] = - [tex]\frac{3}{10}[/tex] → A

The slope is negative as the ramp slopes down from left to right

The slope of the ramp shown in the diagram given is 3/10.So option D is the correct answer.

Slope of a line is the ratio of the change in y coordinates to the change in the x coordinates of two points given.

Slope can also be defined as the tangent of the angle that the line is making with the positive X axis.

Given is a diagram of a ramp.

It can be picturized as a right angled triangle.

We know that,

Slope = Change in y coordinates / change in x coordinates.

Horizontal distance = change in x coordinates = 10

Vertical distance = change in y coordinates = 3

Substituting,

Slope = 3/10

Hence the slope of the ramp is 3/10.

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Answer:

x=-2

Step-by-step explanation:

To solve the equation, we want to find out what x is. In order to do this, we have to get x by itself. Perform the opposite of what is being done to the equation. Keep in mind, everything done to one side, has to be done to the other.

5x-5=9x+3

9x is being added to 3. The opposite of addition is subtraction, so subtract 9x from both sides.

5x-9x-5=9x-9x+3

5x-9x-5=3

-4x-5=3

5 is being subtracted from -4x. The opposite of subtraction is addition, so add 5 to both sides.

-4x-5+5=3+5

-4x= 3+5

-4x=8

x is being multiplied by 4. The opposite of multiplication is division, so divide both sides by -4.

-4x/-4=8/-4

x=8/-4

x= -2

Answer:

the slope is 12

Step-by-step explanation:

y=12x+1 is from the formula y=mx+b where m is the slope and b is the y-intercept.

Since 12 has replaced m, it is the slope.

Since 1 has replaced b, it is the y-intercept.

"the slope is 12" is the correct answer choice.

Answer:

After 5 minutes, the submarine is at -40 × 5 = -200 feet

Step-by-step explanation:

In 1 minute, the submarine is 40 feet below sea level. This situation can be represented with -40 feet. Notice that we use a negative sign since the submarine is descending.

Answer:

It's at 200 ft

Step-by-step explanation:

You multiply 40 and 5 because the submarine goes 40 ft per minute and you have to find out the level after 5 minutes.

Therefore 40•5=200 ft

Hope this helps!

Answer:

[tex]x=8,\:x=-3[/tex]

Step-by-step explanation:

[tex]x^2-5x-24=0\\\mathrm{For\:a\:quadratic\:equation\:of\:the\:form\:}ax^2+bx+c=0\mathrm{\:the\:solutions\:are\:}\\x_{1,\:2}=\frac{-b\pm \sqrt{b^2-4ac}}{2a}\\\mathrm{For\:}\quad a=1,\:b=-5,\:c=-24:\quad x_{1,\:2}=\frac{-\left(-5\right)\pm \sqrt{\left(-5\right)^2-4\cdot \:1\left(-24\right)}}{2\cdot \:1}\\\mathrm{The\:solutions\:to\:the\:quadratic\:equation\:are:}\\x=8,\:x=-3[/tex][tex]=\frac{5+\sqrt{\left(-5\right)^2+4\cdot \:1\cdot \:24}}{2\cdot \:1}\\5+\sqrt{\left(-5\right)^2+4\cdot \:1\cdot \:24}\\5+\sqrt{121}\\=\frac{5+\sqrt{121}}{2}\\=\frac{5+11}{2}\\=\frac{16}{2}\\=8\\\frac{-\left(-5\right)-\sqrt{\left(-5\right)^2-4\cdot \:1\cdot \left(-24\right)}}{2\cdot \:1}\\=\frac{5-\sqrt{\left(-5\right)^2+4\cdot \:1\cdot \:24}}{2\cdot \:1}\\5-\sqrt{\left(-5\right)^2+4\cdot \:1\cdot \:24}\\\left(-5\right)^2\\=25\\4\cdot \:1\cdot \:24\\=96\\=5+\sqrt{25+96}\\[/tex]

[tex]\frac{5-\sqrt{121}}{2\cdot \:1}\\\frac{5-11}{2}\\=-\frac{6}{2}\\=-3\\[/tex]

Answer:

2261.95

Step-by-step explanation:

A=2πrh+2πr2

Answer:

2261.9

Step-by-step explanation:

the other users answer was correct, but not with 1 decimal place

Answer:

x=40

Step-by-step explanation:

The 2 angles are opposite each other. Therefore, they are vertical angles. This means the 2 angles are equal. So, we can set them equal to each other.

120=3x

We want to find out what n is. In order to do this, we have to get n by itself. Perform the opposite of what is being done to the equation. Keep in mind, everything done to one side, has to be done to the other.

x is being multiplied by 3. The opposite of multiplication is division. Divide both sides by 3.

120/3=3x/3

120/3=x

40=x

x is equal to 40.

Answer:

40

Step-by-step explanation:

i had this a while ago

Answer:

The expression 7x represents the height of the container.

Step-by-step explanation:

From the question:

We are being informed that; if the length of the container is half of a foot longer than its width.

Let the width be x;

Then the length of the container can now be ; x+1/2

We all known that the volume of a rectangular prism is : V= l×w×h

here;

l = length

w = width

h = height  

If we rewrite the given expression :

[tex]\mathbf{7x^3+3.5x^2}[/tex];

Then we factor we make a similar coefficient  of  the above equation, the  remaining entities left in the parenthesis should be a linear term  with a leading coefficient of 1 to match the expression for the length of the container.

i.e

[tex]\mathbf{7x^3+3.5x^2}} \\ \\\mathbf{7x^2(x+1/2)} \\ \\\mathbf{7*x*x*(x+1/2)}[/tex]

Hence, if the length of the container is half a foot longer than its width, x, then the expression 7x represents the height of the container.

Answer:

x= AP, y= GP

Step-by-step explanation:

x = 1, 2, 3, 4, 5 - difference in terms = 1, this is AP

y = 5, 25, 125, 625, 3125 - the ratio of increase= 5, this is GP

Answer:

x= AP, y= GP

Step-by-step explanation:

Answer: 12 child tickets

Step-by-step explanation:

We can use system of equations to find how many child tickets were sold. Let's say x is adult and y is child.

Equation 1

5.25x+3.05y=498.6

This equation comes from the cost of tickets.

Equation 2

x+y=100

This equation comes from the number of tickets.

We can use elimination method to solve for y.

5.25x+3.05y=498.6

5.25x+5.25y=525

Now, we can subtract the equations for x to cancel out and to solve for y.

-2.2y=-26.4

y=12

Answer:

31.6227766

Step-by-step explanation:

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Answer:

3/4

Step-by-step explanation:

There is 2 Os and 8 in total.

So the probability of selecting O is 1/4

As the question asks everything but O, you subtract that answer from 1. 1-1/4=3/4

Answer:

x = 98

Step-by-step explanation:

The exterior angle of a triangle is equal to the sum of the opposite interior angles

x = 53+45

x = 98

Answer:

x°=98°

Step-by-step explanation:

Since a triangle's interior angles add up to 180°, then ∠G is 180°-45°-53° or 82°. Since ∠G and ∠x add up to 180° (they form a straight line), then x° is 180°-82° or 98°.

x°=98°

Answer:

78 square ft.

The answer is 75 ft

explanation

12ft x 2.5ft = 30ft

12ft x 2ft = 24ft

12ft x 1.5ft = 18ft

1.5ft x 2ft = 3ft

30 + 24 + 18 + 3 = 75

Answer:

She get 84% right

Step-by-step explanation:

42 x 2 = 84

50 x 2 = 100

Answer:

84%

this is the picture of how I solved it.

hope you understand.

Answer: All of them besides <AEB

Step-by-step explanation:

Everyone of those can be measured but the <AEB therefore all the answers besides <AEB is correct