3 x ³-8x -x + 4 = x-1 using long division​

5.

The given linear regression is

Where x represents the square footage of the apartment and y represents the monthly rental price

Grace can afford $1500 per month rent

This implies

y = $1500

Substitute y = $1500 into the linear regression

This gives

Solve the equation for x

Therefore,

The size of the apartment is 709.25 square footage

The two different trinomials that have a greatest common factor of  [tex]5x^{2} y^{3}[/tex] are:

a) [tex]35x^{2} y^{5}z^{2} +5 x^{4}y^{9}z +15x^{3} y^{3}[/tex]

b) [tex]25x^{4} y^{3} z+5x^{7}y^{8} +10x^{2}y^{4} z\\[/tex]

Let us verify,

a)  Consider the trinomial   [tex]35x^{2} y^{5}z^{2} +5 x^{4}y^{9}z +15x^{3} y^{3}[/tex],

The Greatest Common Factor  of 35, 5, 15 is 5

The Greatest Common Factor  of  [tex]x^{2} ,x^{4} ,x^{3} =x^{2}[/tex]

The Greatest Common Factor  of  [tex]y^{5} ,y^{9} ,y^{3} = y^{3}[/tex]

There is no G.C.F for z because it is missing in the 3rd term.

So, the G.C.F  of the trinomial   [tex]35x^{2} y^{5}z^{2} +5 x^{4}y^{9}z +15x^{3} y^{3}[/tex] =  [tex]5x^{2} y^{3}[/tex]

b) Consider the trinomial   [tex]25x^{4} y^{3} z+5x^{7}y^{8} +10x^{2}y^{4} z\\[/tex],

The Greatest Common Factor  of 25, 5, 10 is 5

The Greatest Common Factor  of [tex]x^{4} ,x^{7} ,x^{2} =x^{2}[/tex]

The Greatest Common Factor  of [tex]y^{3} ,y^{8} ,y^{4} = y^{3}[/tex]

There is no G.C.F for z because it is missing in the 2nd term.

So, the G.C.F of the trinomial  [tex]25x^{4} y^{3} z+5x^{7}y^{8} +10x^{2}y^{4} z = 5x^{2} y^{3}[/tex]

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Answer:

f(10) = -300

Step-by-step explanation:

f(x) = -3x^2

f(10) = -3(10)^2

f(10) = -3(100)

f(10) = -300

Both Anya  and Todd  are correct that  with 24 counters both 6 arrays and 8 arrays are possible.

Whats is an array?

An array is a set of items, images, or numbers arranged in rows and columns. Arrays are practical illustrations of multiplication theories (among other ideas in mathematics).

Here 24 can also be expressed as 6x4 and 8x3 therefore both ways are possible.

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The angle 6 has its measure to be 80 degrees

The figure represents the given parameter

Also from the question, we have the following parameters that can be used in our computation:

m∠angle 7 = 100 degrees

The angles 7 and 6 are angles on the same straight line

As a general rule of angles, angles on the same straight line add up to 180 degrees

This means that

m∠angle 7 + m∠angle 6 = 180

Substitute the known values in the above equation

So, we have the following equation

100 + m∠angle 6 = 180

Subtract 100 from both sides

So, we have the following equation

- 100 + 100 + m∠angle 6 = 180 - 100

Evaluate the like terms in the above equation

m∠angle 6 = 180 - 100

Evaluate the like terms in the above equation

m∠angle 6 = 80

Hence, the measure of angle 6 is 80 degrees

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Answer:

2 Hours

Step-by-step explanation:

Hope this helps you.

Tell me if I'm incorrect so I can see what I can do

Answer:

70%of 20 is 14 so it is 6

Step-by-step explanation:

20-14=6

Let x be the total number of questions.

Since we know that 60% is equal to 9 questions of the exam we have the equation:

where, as we stated above, x represents the total number of questions.

Solving for x we have:

therefore the exam has 15 questions.

To first start our problem, we will draw some coordinate axis at point E, since we are rotating the figure around this vertex. We get something like this

We are going to fix the point E. But we are going to rotate the figure in the direction in which the arrow shows. Since it is a 90° rotation, our goal is to align the blue vertical line, with the red horizontal line, following the direction of the black arrow. The picture would look like this

Note that the lengths of the new figure should remaing the same. That is, the side H' E should have a length of 3 squares and the length of H' G' should be 2 squares.

We are given the following expression:

We are asked to find the value of the expression when x = 6. To do that, we replace the value of "x" in the expression:

Solving the operations we get:

To find the slope we can use the formula so:

now we can replace the coordinates so:

[tex]A= \begin{bmatrix} -3&5&-6\\\\ 9&-5&3 \end{bmatrix}\hspace{5em} B= \begin{bmatrix} -2&6&7\\\\ 2&-1&-6 \end{bmatrix} \\\\[-0.35em] ~\dotfill\\\\ -3A\implies -3\begin{bmatrix} -3&5&-6\\\\ 9&-5&3 \end{bmatrix}\implies \begin{bmatrix} 9&-15&18\\\\ -27&+15&-9 \end{bmatrix} \\\\\\ 6B\implies 6\begin{bmatrix} -2&6&7\\\\ 2&-1&-6 \end{bmatrix}\implies \begin{bmatrix} -12&36&42\\\\ 12&-6&-36 \end{bmatrix} \\\\[-0.35em] ~\dotfill[/tex]

[tex]-3A+6B\implies \begin{bmatrix} 9&-15&18\\\\ -27&+15&-9 \end{bmatrix}~~ + ~~ \begin{bmatrix} -12&36&42\\\\ 12&-6&-36 \end{bmatrix} \\\\\\ \begin{bmatrix} (9-12)&(-15+36)&(18+42)\\\\ (-27+12)&(15-6)&(-9-36) \end{bmatrix}\implies \Large \begin{bmatrix} -3&21&60\\\\ -15&9&-45 \end{bmatrix}[/tex]

the equation in the standard form is Ax + By = C

12.

15.

18.

we have the following:

therefore, the answer the change in the temperature is -4

Answer: 4.5 gallons

Step-by-step explanation: because i used calculator.. :)

Answer:

42/11 or 4.454545..

Step-by-step explanation:

square both sides
(SQRT(9x+7) + SQRT(2x))^2 = 7^2

9x+7 + 2x = 49

11x = 42

x = 42/11 or 4.4545...

Cyinder volume = π r^2 * h

r= radius

h = heigth

π= 3.1416

___________________________

Can you see the updates?

______________________________

Rectangular sheet whose length and breadth are 44 cm and 18 cm

h = 18 cm

Circle perimeter = circunference = 2 π r = 44 cm

Given:

Mr. Campbell will flip a fair coin 4 times.

So, the total results = 2⁴ = 16

We will find the probability of heads coming up 2 times in a row:

We will use the tree method to find the number of heads coming up 2 times in a row, Let head (H) and tail (T)

So, the tree figure will be as shown in the following figure:

As we can see the red ellipses is the number of time comes 2 heads in a row

The number = 7

so, the probability that Mr. Campbell will decline signing the business contract = 7/16

The answer will be option D. 7/16

Answer:

o////////////o

Answer:

yES uwuuuuuuuuu

Step-by-step explanation:

Given that Boone High School is holding a fundraiser and plans to use:

• 2/3 of the money collected to build a new library.

• of the money directed towards building the new library, 3/4 will go towards purchase and computers.

• We want to know what fraction of the money raised will go towards purchasing computers for the library.

In other words, we want to know what 3/4 of 2/3 is.

Let x be 4/3 of 2/3

Then

Therefore, the fraction of the money raised will go towards purchasing computers for the library is 8/9

first we can separate the values ​​with exponents that having the same base can be reduced

so

now do the multiplication between 4.8 and 2.2 and reduce the fraction

so, the right option is B

Answer:

im pretty sure its 90000

Step-by-step explanation:

The cost of tuition and fees in the 2024–2025 academic year is about the amount of $11,300.

A linear equation is defined as an equation in which the highest power of the variable is always one.

As per the given information, take two points as

(9500, 0)

(10,500, 5)

Here 2015–2016 academic year is represented as zero

So the linear equation model would be

y - 9500 = [(10,500 - 9500) / (5-0) ](x - 0)

y - 9500 = (1000/5)x

y = 200x + 9500

So the cost of tuition and fees in the 2024–2025 academic year:

Here 2024–2025 academic year is represented as nine,

Substitute the value of x = 9 in the linear equation model y = 200x + 9500

y = 200(9) + 9500

y = 1800 + 9500

y = 11,300

Thus, the cost of tuition and fees in the 2024–2025 academic year is about $11,300.

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Cost of 1 slice of pizza and 3 sodas = $5.25

When the requirements of a mathematical model are represented by linear relationships, the best result can be obtained using a technique known as linear programming (LP), also known as linear optimization. A particular type of mathematical programming is linear programming. Formally speaking, linear programming is a method for optimising a linear objective function under the constraints of linear equality as well as linear inequality. Convex polytopes, a set defined as that of the intersection of a finite number of half spaces, which are defined by a linear inequality, make up its feasible region. A real-valued affine (linear) function defined on the this polyhedron serves as its objective function. If there is a point in the polytope in which this function does have the smallest (or largest) value, a linear programming algorithm locates it.

Let the cost of 1 slice of pizza be x and cost of 1 soda be y.

Now,

Richard bought 3 slices of pizza and 2 sodas for $8.75

Therefore, [tex]3x+2y=8.75[/tex]

Jordan bought 2 slices of pizza and 4 sodas for $8.50

Therefore, [tex]2x+4y=8.50[/tex]

Solving above equations, we get         [tex]x=2.25[/tex] and [tex]y= 1[/tex].

Cost of 1 slice of pizza and 3 sodas = 2.25 + 3*1

                                                           = 2.25 +  3

                                                            = 5.25

Hence, Cost of 1 slice of pizza and 3 sodas = $5.25

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From the graph, we can see that

A) True

B) False. The range goes from -1 to +infinity.

C) True

D) True

E) False, the f(x) -intercept is 1.

F) True.

The y-intercept and x-intercepts are:

Answer:

f(x) = |x-2| + 10

Step-by-step explanation:

Answer:

if the question specifically says people then the amount of children are 54.

if the question specifically says the amount of adults in the park compared to the children when there are 216 adults, then the answer is 72.

Step-by-step explanation:

children and adults

so we know that this is a scale factor question because there is a ratio involved . the ratio is 9 to 3 . so the next ratio answer is 216 to what ?

how do you get from 9 to 216 ? the answer is that you multiply by 216 / 9 . this is a form of math short hand if you did not know already . to get from y to x, you multiply y by x/y.

so basically that means that you multiply 9 by 216 / 9 to get to 216 . that means that the scale factor is 216 / 9 . so you will want to multiply three by 216 / 9 because 216 / 9 is the scale factor .

216 / 9 is equal to 24 . now multiplying the scale factor by 3 is equal to 72 . therefore there are 72 children compared to 216 adults.

_____

children and people

if the question is asking specifically people not adults then instead you will want to add nine with three to get the total amount of people . 9 + 3 = 12 so the new ratio will be 12 people to three children . so with the same idea in mind 12 to 3 and 216 to what? to get from 12 to 216 you need to multiply by 216 / 12 thus 216 / 12 is the scale factor in this situation. 216 / 12 = 18 so the scale factor here is 18 so you need to multiply 18 by 3 to get the total amount of children there compared to the total amount of people . the total amount of children there are 54 .

Answer:

D

Step-by-step explanation:

It says twice as many so just multiply the ratio by two. That means its 10 pens and 30 pencils.

Given:

A hemisphere has a radius of 8 cm.

Required:

To find the volume of the hemisphere.

Explanation:

The formula for volume of the hemisphere is,

Final Answer: