Solve 1 2 1 2x = x2 − 7x 10 4x by rewriting the equation as a proportion. which proportion is equivalent to the original equation?

Answer:

23

Step-by-step explanation:

If Kelsey spent 32 hours in the first week. We subtract 32 from 55. 55-32=23. That means she worked 23 hours in the second week.

Step-by-step explanation:

Let the area of rectangle with given points are as follows :

A(-3,3)

B(3,2)

C(4,-1) = C( x1,y1)

D(-2,-3) = D( x2, y2)

Now,

(x2-x)^2 +( y2 - y1)^2

= root under (-2-4)^2 + ( -3+1)^2

= root under (-6)^2 + (-2)^2

= root under 36 + 4

= root under 40

= 2root 10

Therefore; the unit number if CD is 2 root 10.

Answer: B and C

Step-by-step explanation:

Let's start off with some definitions.

Supplementary Angles: Two angles that add up to 180°.

Right Angle: One angle equal to 90°. Also identified with a square on the angle.

Complementary Angles: Two angles that add up to 90°.

Straight Angle: A straight line, which equals to 180°.

Right off the bad, we can knock off A and D because there is no proof of those being seen.

The angle <EFH is a right angle because it is equal to 90°. If you pay close attention, the angles <EFG and <GFH both add up to 90°, making them complementary angles.

Therefore, the correct answers are B and C.

I hope this helps! Pls mark brainliest!! :)

Answer:

15

Step-by-step explanation:

3x/4+1=19/4+1x/2

3x/4-x/2=19/4-1

x/4=15/4

collect like terms

x=15

Answer:

600

Step-by-step explanation:

15*40=600

Without the table indicating the stated premium rates and applicable discounts, the monthly property insurance cannot be computed. Hence, on the assumption that the rate is 2.5% and the discount applicable is 7.5% the premium per month will come to $152.24

The simple definition of Property Insurance is, it is an insurance policy that covers a policyholder for the structure of a building and its contents against stated or agreed perils.

Given (based on assumption) that the applicable annual rate is 2.5%

and that:

Hence annual premium will be:

= (67,000 + 12000) * (2.5/100) * 0.925

Annual Premium Payable = $1,826.89.............A

Recall that we are asked to derive the monthly Insurance premium.

This is thus given as: Answer in A/12

→  1,826.89/12

= $152.24

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Answer:

D

Step-by-step explanation:

(f • g)(x)

= f(x) × g(x)

= (x + 4)(3x² - 7)

each term in the second factor is multiplied by each term in the first factor , that is

x(3x² - 7) + 4(3x² - 7) ← distribute both parenthesis

= 3x³ - 7x + 12x² - 28

= 3x³ + 12x² - 7x - 28 ← in standard form

Answer:

A. 4 root 3

Step-by-step explanation:

Answer:

56.52 inches

Step-by-step explanation:

pi is the ratio of the circumference to the diameter so you can simply multiply the diameter by pi to get the circumference which is 3.14 * 18 = 56.52

Answer:

306.324

306.359

316.011

Step-by-step explanation:

Hope it helped!

A rise of 8 and a run of 6. Then the correct option is B.

Coordinate geometry is the study of geometry using the points in space.

On a coordinate plane, a right triangle has points A (-5, -6), B (-5, -2), and C (-2, -2).

The distance between AB will be

AB² = (-5 + 5)² + (-2 + 4)²

AB² = 4²

AB = 4

The distance between BC will be

BC² = (-2 + 5)² + (-2 + 2)²

BC² = 3²

 BC = 3

Then the rise and run will be

rise / run = 4 / 3

Then this can be written as

rise / run = 8 / 6

Then the correct option is B.

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Answer:

2 or 3

Step-by-step explanation:

write it down dummy

Answer:

Step-by-step explanation:

Comment

Expand the second and 3rd factors first. Then worry about the x.

Solution

x(x + 2)(x + 4)

first: x * x =  x^2

Outside: 4*x = 4x

Inside: 2*x = 2x

Last: 2*4 = 8

Combine

x^2  + 4x + 2x + 8

x^2 + 6x + 8

Now is the time to worry about the extra x

x(x^2 + 6x + 8)

remove the brackets.

x*x^2 + x*6x + 8*x                

Combine

Answer: x^3 + 6x^2 + 8x            

The volume of the rectangular prism can be express in standard polynomial as follows:

x³ + 12x² + 35x

volume of a rectangular prism = lwh

where

Therefore,

let

height = x

width = x + 5

length = x + 5 + 2 = x + 7

Therefore,

volume = x(x + 5)(x + 7)

volume = x(x² + 7x + 5x + 35)

volume = x(x² + 12x + 35)

volume = x³ + 12x² + 35x

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When the coefficient of x is positive, the graph of a line rises and moves to the right. Option C is correct.

A diagram depicting the relationship between two or more variables, each measured along with one of a pair of axes at right angles.

The complete question is

"The graph of a line goes up and to the right when:

a) the coefficient of x is 0

b) the coefficient of x is negative

c) the coefficient of x is positive

d) there is no coefficient of x"

When the coefficient of x is positive, we know that the graph of a line will move upward and to the right.

Since we are aware that a line's upward and rightward movement indicates that the line is advancing, we will obtain a positive slope for the line, and we are also aware that the slope-intercept of a line is provided as:

y= mx+c

If m is a positive number, then positive is the coefficient of x.

The graph of a line goes up and to the right when the coefficient of x is positive.

Hence option C is correct.

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Answer:

Circumference of a circle = 2 pie r

237 = 2 * pie * r

237 / 2 * Pie

118.5/ pie = r

118.5 = Pie*r

Area of circle = Pie *r²

= Pie r * r

= 118.5 * 118.5/ Pie

= 118.5 * 118.5 / pie

= 14042.25/ pie

taking value of pie = 3.14

= 4472.05 sq. cm

The probability that the items drawn are two pencils and one highlighter is 0.25

To do this, we make use of the following representations:

Since there are three boxes, the number of possible outcomes is:

Outcomes = 2³

Outcomes = 8

See attachment for the tree diagram.

From the tree diagram, we have:

So, the probability is:

P = 2/8

Evaluate

P = 0.25

Hence, the probability that the items drawn are two pencils and one highlighter is 0.25

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The ratio using fraction notation of $5 to $35 would be 7.

A fraction represents a part of a number or any number of equal parts.

To convert a ratio into a fraction,

We will simply use the first number as the numerator and the second number as the denominator.

So the fraction = 35/5.

= 7

Since there are no more common factors, the fraction is in its lowest form which is 7.

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Answer:

$2,999

Step-by-step explanation:

Each given factor written as a polynomial in descending order is;  (7x + 6y)(49x² - 42xy + 36y²)

We are given the polynomial;

343x³ + 216y³

343x³ + 216y³ is a sum of cubes and factors in general as;

a³ + b³ = (a + b)(a² - ab + b²)

Thus;

343x³ + 216y³ = (7x)³ + (6y)³

= (7x + 6y)((7x)² - 7x(6y) + (6y)² )

= (7x + 6y)(49x² - 42xy + 36y²)

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The value of the function f(x)=6/-2+2[tex]e^{-0.3x}[/tex] at x=4 after rounded to the nearest tenth is -2.4.

Given Function of x : f(x)=6/-2+2[tex]e^{-0.3x}[/tex]

The given function showing the relationship between x and f(x) is f(x)=6/-2+2[tex]e^{-0.3x}[/tex] where e is exponential and we have to find the value of f(4) by just putting the value of x=4 in the given function and round to the nearest tenth means replacing a number with an approximate value.

f(4)=6/-2+2[tex]e^{-0.3*4}[/tex]   ( The value of e is 2.7812)

f(4)=-3+2[tex]e^{-1.2}[/tex]                    

f(4)=-3+2*0.30119   (The value of [tex]e^{-1.2}[/tex] is 0.30119)          

f(4)=-3+0.60238

f(4)=-2.3972

Round -2.3972 to tenth is -2.4.

Hence the value of function of at x=4 is -2.4.

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The value of f(4) is -4.3.

The function is a relation between two different sets X and set Y which are in one-one or many-one relation. Here set X is called as the domain and set Y is called as the codomain.

For example: f(x)=3x+9

To get the value of the function at any point of x, we have to put the number in the function to get its function value.

For example the value of f(x) in above function at x=a will be f(a)=3a+9

Similarly given function in the question

[tex]f(x)=\frac{6}{-2+2e^{-0.3x}}[/tex]

to get the value of f(x) at x=4 put the value of x in the function,

[tex]f(x)=\frac{6}{-2+2e^{-0.3*4}}[/tex]

⇒[tex]f(x)=\frac{6}{-2+2e^{-1.2}}[/tex]

⇒f(x)=-4.3

Therefore the value of f(4) is -4.3.

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The value of a₄₁ mean the expression in 4th row and 1st column will be 2. Then the correct option is B.

The complete question is attached below.

A matrix is a specific arrangement of items, particularly numbers. A matrix is a row-and-column mathematical structure. The [tex]\rm a_{ij}[/tex] element in a matrix, such as M, refers to the i-th row and j-th column element.

The matrix is given below.

[tex]\begin{bmatrix} 1&3&8&5&\\ 5&4&6&2\\6&7&1&8\\2&9&3&7&\\\end{bmatrix}[/tex]

Then the value of a₄₁ mean the expression in 4th row and 1st column will be 2.

Then the correct option is B.

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Answer:

23

Step-by-step explanation:

seen it before

Answer:

x = -2, y = 3

Step-by-step explanation:

2x + 3y = 5

5x - 2y = -16

In order to find the value of a variable, we must eliminate the other variable by multiplying the equations to get the same coefficient.

We can multiply the first equation by 5 and the second one by 2 to get the same coefficient for x, the equations then become:

10x + 15y = 25

10x - 4y = -32

Now we can subtract:

19y = 57

y = 3

Since we know the value of y, we can substitute it into one of the original equations:

2x + 3(3) = 5

2x + 9 = 5

2x = -4

x = -2

Answer:

Step-by-step explanation:

y = x² + 7x - 5 ............ (1)

2x - y = - 9 ................ (2)

(1) ------> (2)

2x - ( x² + 7x - 5 ) = - 9

- x² - 5x + 14 = 0 ........ (3)

- 1 × (3)

x² + 5x - 14 = 0

( x + 7 )( x - 2 ) = 0

[tex]x_{1}[/tex] = - 7 and [tex]x_{2}[/tex] = 2

2( - 7) - [tex]y_{1}[/tex] = - 9 ⇒ [tex]y_{1}[/tex] = - 5

2(2) - [tex]y_{2}[/tex] = - 9 ⇒ [tex]y_{2}[/tex] = 13

The solutions of system are

( - 7, - 5 ) and ( 2, 13 )

Answer:I think observational

Step-by-step explanation:They want to study it so they trying it on people who are willing so they are looking closely to what happens.

Answer:

Can you give exanation

I don't understand