Using the following image, find the midpoint of the line by completing the problems below. The midpoint is what?

Answer:

15000 - 750x

Step-by-step explanation:

Holly is trying to save $25, 000 to put a down payment on a condominium. She started with $10,000 and saved an additional $750 each month.

Let

y = dollars

x = number of months

Since she started her savings with $10, 000 her remaining amount to pay will be 25000 - 10000 = $15000 .

The amount will also be reducing by $750 per month

Therefore,

How far she is from her goal can be represented with the equation

15000 - 750x

Answer:

She has 4 gallons and 1 quart left

Step-by-step explanation:

4 quarts equals a gallon. Add the 2 gallons with the one gallon and it's 3 gallons. Then add the 3 quarts with the other 2 quarts for another gallon with a quart left over. Add that gallon with the other three and she has 4 gallons and 1 quart. Hope this helps :>

Answer:

x=9 is the answer......

Step-by-step explanation:

This question gives us a point on a line and the slope of that line. So, the easiest way to answer this question is to use point-slope form, which is written as:

y-y₁ = m(x-x₁)

So, first of all, we are trying to find y (y, not y₁ which is the y-coordinate of the point we were given). We can go ahead and add y₁ to both sides to get:

y = m(x-x₁) + y₁

We can now simplify the equation to:

y = m·x - m·x₁ + y₁

Now we just input the given information.

m = 5 (slope)

x = 21

x₁ = 5

y₁ = 6

Now we have all the information we need and we can solve.

y = 5·21 - 5·5 + 6

y = 105 - 25 + 6

y = 86

So y, when x = 21, is equal to 86.

Answer:

The rational number representing the average change in the volume of water each day is:

[tex]\frac{0.875 liters}{1 day}[/tex]

Step-by-step explanation:

Rational numbers are those that can be represented as the quotient of two integers. That is, rational numbers can be represented by a fraction [tex]\frac{a}{b}[/tex], where a is the numerator and b is the denominator that must be other than zero. To express the set of these numbers, mathematicians use a capital Q.

In this case we know that Finn's pool leaked a total 3.5 L in 4 days, so the rate can be written as:

[tex]\frac{3.5 liters}{4 days}[/tex]

Now you must make this division or quotient, where the denominator will be 1 because you must know the number of liters drained per day:

[tex]\frac{3.5 liters}{4 days}=\frac{0.875 liters}{1 day}[/tex]

So the rational number representing the average change in the volume of water each day is:

[tex]\frac{0.875 liters}{1 day}[/tex]

Answer:

Not a function

Step-by-step explanation:

This is not a function because there are different outputs for the same input.

Answer:

NOT A FUNCTION

Step-by-step explanation:

a function cant have multiple y coordinates for the same X

∞¬

ω

The two-way frequency table is completed using the rule of division which is shown below.

[tex]\begin{matrix} &\rm Growth \ mindset &\rm Fixed \ mindset &\rm Raw \ total\\\\\rm Attended \ every\ practice &0.7 &0.3 &1\\\\\rm Missed\ at\ least\ 1\ practice & 0.1343 &0.8657 &1\end{matrix}[/tex]

Two-way frequency tables demonstrate the potential relationship between two pairs of categorical data visually. The frequency (count) information appears in the four (or more) interior cells of the table, with the categories designated at the top and left sides.

The two-way frequency table is completed below.

[tex]\begin{matrix} &\rm Growth \ mindset &\rm Fixed \ mindset &\rm Raw \ total\\\\\rm Attended \ every\ practice &0.7 &0.3 &1\\\\\rm Missed\ at\ least\ 1\ practice & 0.1343 &0.8657 &1\end{matrix}[/tex]

More about the two-way frequency link is given below.

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Answer:

Step-by-step explanation:

0.7       0.3

0.13      0.87

Answer:

X/Y = 4/8= 1/2

Step-by-step explanation:

This is the answer of this question

Answer:

It Decays

Step-by-step explanation:

Why because Kahn Acadmey  said so

Answer:

Question 1: 71 and 72

Question 2: Child 1: 60 lbs, Child 2: 15 lbs

Step-by-step explanation:

Question 1:

Consecutive numbers are 2 numbers right next to each other.

You know the numbers will have to be double digits number.

71 and 72 are consecutive numbers. The sum of them is 143.

71+72=143

Question 2:

For this problem, we can use system of equations to find the mass of the 2 children. Let's say x is the first child and y is the second child.

Equation 1

x+y=75

This equation comes from the combined mass of the 2 children.

Equation 2

x=4y

This equation comes from the first child being 4 times the mass of the second child.

Since we know the value of x, we can use substitution to find y.

4y+y=75

5y=75

y=15

Now that we know the second child is 15 lbs, we can plug this into any of the 2 equations to find the mass of the first child.

x=4(15)

x=60

Answer:

$3.80

Step-by-step explanation:

380/100= an expected payoff of 3.8 dollars. Hope this helps!

Answer:

L (lengh) · W (width)

Step-by-step explanation:

Tp find the area of a rectangle, you always have to multiply the length by the width. You do this because there are individual little array-like squares that make up the area. You could just count the square units, but multiplying is faster.

Answer:

For Perimeter its  2times length + 2times width

and for Area its: length times width

Hope this helps :)

Answer:

vertex = (- 4, - 18 )

Step-by-step explanation:

Given a parabola in standard form

f(x) = ax² + bx + c ( a ≠ 0 )

The the x- coordinate of the vertex is

[tex]x_{vertex}[/tex] = - [tex]\frac{b}{2a}[/tex]

f(x) = x² + 8x - 2 ← is in standard form

with a = 1 and b = 8 , thus

[tex]x_{vertex}[/tex] = - [tex]\frac{8}{2}[/tex] = - 4

Substitute x = - 4 into f(x) for corresponding y- coordinate

f(- 4) = (- 4)² + 8(- 4) - 2 = 16 - 32 - 2 = - 18

vertex = (- 4, - 18 )

The vertex of the parabola is (-4, -18).

Option D is the correct answer.

A function has an input and an output.

A function can be one-to-one or onto one.

It simply indicated the relationships between the input and the output.

Example:

f(x) = 2x + 1

f(1) = 2 + 1 = 3

f(2) = 2 x 2 + 1 = 4 + 1 = 5

The outputs of the functions are 3 and 5

The inputs of the function are 1 and 2.

We have,

To find the vertex of the function f(x) = x² + 8x - 2, we first need to convert the function into vertex form, which is f(x) = a(x - h)² + k, where (h, k) is the vertex of the parabola.

Completing the square.

f(x) = x² + 8x - 2

f(x) = (x + 4)² - 18

Therefore,

The vertex of the parabola is (-4, -18).

Learn more about functions here:

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Answer:

2160

see I times them all together then i divided the last two by 3 and got 2160

Step-by-step explanation:

Answer:

Length x width x height = volume

12 x 12 = 144

144 x 13 = 1872

height / 3 x width x length = volume for pyramid

6/3=2

2 x 12 x 12 = 288

1872 + 288 = 2160

2160 x 1.9 = 4104

4104 grams of sand

Hope this helps

Step-by-step explanation:

Answer:

[tex]\frac{18p-5}{30}[/tex]

Step-by-step explanation:

Answer:

18p-5 over 30.

Found in the LCM method

Answer:

Probability is 2/5 or 40%.

Step-by-step explanation:

4/(4+2) = 4/6 = 2/3 first black pen is chosen.

3/5 - second pen is chosen without replacement.

2/3 *3/5= 2/5 - the probability a black pen was chosen, and then another black pen without replacement.

2/5*100 % = 40 %

Answer:

Inverse Variation

Step-by-step explanation:

y = k/x

Answer: 7x-90/x-13

Step-by-step explanation:

f(x)= x+7

g(x)=1/x-13

(f•g)(x)=1/x+13+7

1+7(x-13)/x-13

1+7x-91/x-13

7x-90/x-13

Answer:

(-∞, 0)∪(0, ∞)

Step-by-step explanation:

You are given the functions f(x) and g(x).  Now, you have to find (f*g)(x).  To do this, you have to multiply the two functions.

f(x) = x + 7

g(x) = 1/x - 13

(f*g)(x) = (x + 7)(1/x - 13)

(f*g)(x) = -13x + 7/x + 1 - 91

(f*g)(x) = -13x + 7/x - 90

The domain has to include all of the x-values that will produce a rational number.  So, look at where the x's are locate

-13x:  You could put any rational number into this value and still have a rational number.

7/x:  For this value, you cannot have 0 as an x-value.  Every other number is fine.

This means that the domain will be (-∞, 0)∪(0, ∞).  

You use parentheses and not brackets for the zero side because you don't want to include zero in the domain, but you do want to include all of the other numbers around zero.  There are no brackets on the infinity side because infinity isn't a number.  The ∪ symbol is used to combine domains.

Answer:

there are 62 prime numbers with squares

Answer:

i believe it is 3...?

11, 13, and 17

Step-by-step explanation:

11 = 121

13= 169

17 = 289

these are prime numbers

Answer:

Yes, there is enough wrapping paper

The area of the wrapping paper is greater than area of the gift

Step-by-step explanation:

What to do is to check the area of the wrapping paper and the gift if equal.

Looking at the dimensions of the gift, it is a cuboid

Area of a cuboid = 2(lb + lh + bh)

where l, b and h are 50, 35,5 respectively

= 2(250 + 175 + 1750)

= 4350 cm^2

The area of the wrapping paper is just the product of its side = 75 * 60 = 4500 cm^2

We can see clearly that the area of the wrapping paper is greater than area of the gift.

so we can conclude that it is enough to wrap the gift

Answer:

976 cm²

Step-by-step explanation:

25 x 10 x 2 = 500

14 x 10 = 140

14 x 24 = 336 ((14x24/2)x2)

500 + 140 + 336 = 976

The answer will be B. 72

Answer:The answer to this problem is 72 fluid ounces

Step-by-step explanation:

Answer: means you can switch up the numbers

Step-by-step explanation:

so Commutative  Property means you can switch up

the numbers not the sign for example.

4 × 3 × x

4 × x × 3

3 × x × 4

x × 3 × 4

x × 4 × 3

if you look at all these! they just switch

this is easier like 4x5=20 in communicative property it would be 5x4=20

Hope this helps :)

Steps to solve:

5x^3 * 2x^2

~Apply exponent rule

5x^3+2 * 2x

~Simplify

5x^5 * 2x

~Combine like terms

10x^5

Best of Luck!

Answer:

Yes,  k is lower bound for the real zeros of the function.

Step-by-step explanation:

Lower Bound Theorem:

If you divide a polynomial function f(x) by (x - k), where k < 0, using synthetic division and this yields alternating signs, then k is a lower bound to the real roots of the equation f(x) = 0.

Given;

4x³ - 2x² + 2x + 4

k = -1

synthetic division;

-1 ]    4       -2        2        4

        ↓         -4        6       -8

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

        4         -6       8          -4  

(the result has alternating signs, hence k is lower bound)

Thus, k is lower bound for the real zeros of the function.

Answer:

The exact length of the third side would be 9.

Step-by-step explanation:

To find the length of the triangle, just add the height (6) and the base (3) which equals 9.

Answer:

The first choice, second choice, fifth choice are correct

Step-by-step explanation:

To get the first and second choices, you just need to count the number of boxes. For the fifth choice, you can see that the side lengths have been cut in half from the pre-image to image

Answer:

452.3893421 cm^2

452.4 (to one decimal place)

Step-by-step explanation:

Radius (r) - 6cm

The surface area of sphere = 4pi r^2

therefore:

4 * pi * 6^2

4 * pi * 36

144 * pi

452.3893421 cm^2

452.4 (to one decimal place)

Answer:

Surface area = 452,4

Step-by-step explanation:

radius = 6 cm

Surface area = 4πr²

Surface area = 4(3.1416)(6)²

Surface area = 12.5664 (36)

Surface area = 452, 3904

Surface area = 452,4

Answer:

So since the equation is -5/6x+7 we need to plug in equation. So x is equal to 9 we have -45/6x+7. Now we need to simplify. That will give us -7 1/2+7

= - 1/2 So the answer is B

The answer is -1/2

An expression in math is a sentence with a minimum of two numbers/variables and at least one math operation in it. Let us understand how to write expressions. A number is 6 more than half the other number, and the other number is x. This statement is written as x/2 + 6 in a mathematical expression.

Given:

-5/6 x+ 7

Now, for x=9

-5/6 * 9 + 7

=-15/2+7

=(-15+14)/2

=-1/2

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Answer:

(x-5)^2 + (y-6)^2 = 9

Step-by-step explanation:

The equation of a circle is given by

(x-h)^2 + (y-k)^2 = r^2  where ( h,k) is the center and r is the radius

(x-5)^2 + (y-6)^2 = 3^2

(x-5)^2 + (y-6)^2 = 9