Please help due in 10 minutes

Given:

The graph passes through the points (0,-20) and (4,10).

To find:

The equation of line that most closely represents the line depicted in the graph.

Solution:

If a line passing through two points, then the equation of line is

[tex]y-y_1=\dfrac{y_2-y_1}{x_2-x_1}(x-x_1)[/tex]

The given line passes through the points (0,-20) and (4,10). So, the equation of line is

[tex]y-(-20)=\dfrac{10-(-20)}{4-0}(x-0)[/tex]

[tex]y+20=\dfrac{10+20}{4}(x)[/tex]

[tex]y+20=\dfrac{30}{4}x[/tex]

[tex]y+20=\dfrac{15}{2}x[/tex]

Subtracting 20 from both sides, we get

[tex]y=\dfrac{15}{2}x-20[/tex]

The function form is

[tex]f(x)=\dfrac{15}{2}x-20[/tex]

f of x equals fifteen halves times x minus 20.

Therefore, the correct option is B.

Answer:

Your answer is B

Step-by-step explanation:

f of x equals fifteen halves times x minus 20

Answer:

30m per gallon

Step-by-step explanation:

150m/5g= 30m/g

Answer:

$32.65

Step-by-step explanation:

To find the tax, multiply 29.95 by .09. This gets us 2.6955. We can round this to $2.70. Now, we add the tax to the cost of the pants. This gets us 32.65. This means the total cost, with tax, is $32.65.

9514 1404 393

Answer:

  (c)  162 cm

Step-by-step explanation:

The centroid divides a median into parts with the ratio 1:2, so RL:LD = 1:2. Then RL:RD = 1:(1+2), and RD = 3RL.

  RD = 3·54 cm

  RD = 162 cm

-1

Step-by-step explanation:

because looking at the graph it is negative, and it goes down one over one

Answer:

143

Step-by-step explanation:

Answer:

[tex]3x + 2y - 1 = 0 \\ 2y = - 3x + 1 \\ y = - \frac{3}{2} x + \frac{1}{2} \\ from \: general \: equation \: \: y = mx + c \\ by \: comparison \\ m = - \frac{3}{2} \\ c = \frac{1}{2} [/tex]

The value of the slope (m) will be -3/2. And the value of the y-intercept (c) will be 1/2.

A connection between a number of variables results in a linear model when a graph is displayed. The variable will have a degree of one.

The linear equation is given as,

y = mx + c

Where m is the slope of the line and c is the y-intercept of the line.

The equation in the standard form is given below.

3x + 2y - 1 = 0

Separate 'y', then we have

3x + 2y - 1 = 0

2y = -3x + 1

y = -(3/2)x + 1/2

Compare the equation with the slope-intercept line.

m = - 3/2

c = 1/2

The value of the slope (m) will be -3/2. And the value of the y-intercept (c) will be 1/2.

More about the linear equation link is given below.

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Answer:

Step-by-step explanation:

√ = divided into

         [tex]x^{2}[/tex]- 4x -12

x+4 √ [tex]x^{3}[/tex]- 0[tex]x^{2}[/tex] -28x -48

       -([tex]x^{3}[/tex] + 4[tex]x^{2}[/tex])

               -4[tex]x^{2}[/tex]-28x-48

              -(-4[tex]x^{2}[/tex]-16x)

                       -12x - 48

                      -(-12x - 48)

                                  0 Remainder

so the answer is D  

The remainder of the polynomial P(x) = x³ - 28x - 48 will be 0. Then the correct option is D.

A polynomial expression is an algebraic expression with variables and coefficients. Unknown variables are what they're termed. We can use addition, subtraction, and other mathematical operations. However, a variable is not divisible.

The polynomial is given as,

P(x) = x³ - 28x - 48

Let's check if x + 4 = 0 is a factor or not. Then we have

x + 4 = 0

x = - 4

At x = -4, the value of the polynomial is given as,

P(x) = (-4)³ - 28(-4) - 48

P(x) = - 64 + 112 - 48

P(x) = - 112 + 112

P(x) = 0

The remainder of the polynomial P(x) = x³ - 28x - 48 will be 0. Then the correct option is D.

More about the polynomial link is given below.

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Answer:

20 pictures.

Step-by-step explanation:

In this question, we need to find out how many pictures Milan printed.

We know that the film processing costed $4.95 and each picture that was printed costed $0.35.

Lets turn this into an equation with x representing the amount of pictures:

y = 0.35x+ 4.95

Now we need to solve the equation. We can do this by plugging in our known cost, 11.95, into "y".

Solve:

11.95 = 0.35x + 4.95

Subtract 4.95 from both sides.

7 = 0.35x

Divide both sides by 0.35

20 = x

Milan printed 20 pictures.

Answer: Let, n(U) be=x only (p)=x/5 only(ca)=16 n(pnc)=?n(c)=60%ofx=0.6x

then,

Only (c)=n(c)-n(cnp)

16=0.6x-n(cnp)

n(cnp)=0.6x-16

again,

n(U)=only(p)+only (c)+n(cnp)+n(pUc)of complement

x=x/5+16+0.6x-16+8

5x=x+3x+40

x=40

n(cnp)=0.6x-16=0.6×40-16=8

Step-by-step explanation:

Answer:

A) y=4x

B) Linear

c) can't see the vocab bank

Step-by-step explanation:

Answer:

Simplify ans: 3 x^2 y^-4

a no = x( x+2)

b no = 2x(x- 3)

c no = 5x(3- 2x^2)

d no.= 3x^2( 3+ x)

Hope this helps you

Answer:

see explanation

Step-by-step explanation:

Using the rules of exponents

[tex]\frac{a^{m} }{a^{n} }[/tex] ⇔ [tex]a^{(m-n)}[/tex] ( m > n)

[tex]\frac{a^{m} }{a^{n} }[/tex] ⇒ [tex]\frac{1}{a^{(n-m)} }[/tex] ( n > m )

Given

[tex]\frac{21x^6y^5}{14x^2y^9}[/tex]

= [tex]\frac{21}{14}[/tex] × [tex]x^{(6-2)}[/tex] × [tex]\frac{1}{y^{(9-5)} }[/tex]

= [tex]\frac{3}{2}[/tex] × [tex]x^{4}[/tex] × [tex]\frac{1}{y^{4} }[/tex]

= [tex]\frac{3x^4}{2y^4}[/tex] ← with positive exponents

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

(a)

x² + 2x ← factor out x from each term

= x(x + 2)

(b)

2x² - 6x ← factor out 2x from each term

= 2x(x - 3)

(c)

15x - 10x³ ← factor out 5x from each term

= 5x(3 - 2x²)

(d)

9x² + 3x³ ← factor out 3x² from each term

= 3x²(3 + x)

Answer:

He does not have enough money

Step-by-step explanation:

Step one:

given data

The total money that Goerge has is $15

Expenses to incure

to see a movie ($9.00) and

to buy a pretzel ($2.65),

a drink ($1.35 ), and

two veggie cups ($1.74 each)= 1.74*2= $3.48

Totoal expenses= 9+2.65+1.35+3.48= $16.48

Step two:

The deficit that George will have is 16.48-15= $1.48

Hence he does not have enough money

Answer:

13.48

(Is the answer to the math problem)

Answer:

Step-by-step explanation:

1/2

Answer:

[tex]\huge y = \sin(q) = \sin(90°) = 1[/tex]

Answer:

9 inches

Step-by-step explanation:

Answer:

one-third

Step-by-step explanation:

                                                         A          B

<-------+---------+---------+---------+--------+---------+---------+--------------->

         0                                   1       1 1/3     1 2/3        2

Since each unit is divided into three equal spaces, each space is 1/3 of a unit.

Between any two consecutive marks, the distance is 1/3 unit.

Answer: one-third

Answer:

Answer and steps in the picture

Answer:

0

Step-by-step explanation:

Answer:

D just imagine a straight flat line going through y=4

Step-by-step explanation:

Given that,

For 4 weeks in June, Cameron biked 3 1/4 miles each week and swam 2 1/2 miles each week.

For 3 weeks in July, he biked 4 3/4 miles each week and swam 3 1/2 miles each week.

We need to find how much greater was the total distance Cameron bike and swim in July compared to the total distance he bike in swim in June.

In July, total distance is ,

[tex]4\dfrac{3}{4}\times 3+3\dfrac{1}{2}\times 3\\\\= \dfrac{19}{4}\times 3+\dfrac{7}{2}\times 3\\\\=24.75\ \text{miles}[/tex]

In June, total distance is :

[tex]=4\times 3\dfrac{1}{4}+4\times 2\dfrac{1}{2}\\\\=\dfrac{13}{4}\times 4+\dfrac{5}{2}\times 4\\\\=23\ \text{miles}[/tex]

Hence, in June total distance is 23 miles and in July total distance is 24.75 miles.

Answer:

the first is 14cm and second is 20.4cm

Step-by-step explanation:

Answer: 7

Step-by-step explanation:

Answer:

⬇️⬇️⬇️

Step-by-step explanation:

2x + y = 8 is the equation of a straight line. ... By substituting y = 0 into the equation we will find the corresponding x-coordinate at this point. y = 0 : 2x = 8 and so x = 4 hence point (4 , 0 ) on the x-axis

The triangle is an acute triangle

A triangle is a plane figure or polygon with three sides and three angles.

A Triangle has three vertices and the sum of the interior angles add up to 180°

Let the Triangle be ΔABC , such that

∠A + ∠B + ∠C = 180°

The area of the triangle = ( 1/2 ) x Length x Base

For a right angle triangle

From the Pythagoras Theorem , The hypotenuse² = base² + height²

if a² + b² = c² , it is a right triangle

if a² + b² < c² , it is an obtuse triangle

if a² + b² > c² , it is an acute triangle

Given data ,

Let the triangle be represented as ΔABC

Now , the measure of angles of the triangle are

The measure of ∠ABC = 50°

The measure of ∠BAC = 50°

The measure of ∠ACB = 80°

So , all the angles of the triangle are less than 90°

So , it is an acute triangle

Hence , the triangle is acute

To learn more about triangles click :

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[tex]x + 120 = 180[/tex]

(linear pair of angles)

[tex]x = 180 - 120[/tex]

[tex]x = 60[/tex]

Answer:

assuming that the equations are equal to zero the answers would be

3   ,   -3    ,  5

Step-by-step explanation:

Answer:

We conclude that the graph y = x² can be transformed into the graph of the given equation y = (x - 12)²+3 by shifting the graph of y = x² right 12 units and then up 3 units.

Hence, option D is true.

Please check the attached graph.

Step-by-step explanation:

Given the parent function

y = x²

Given the transformed function

y = (x - 12)²

Horizontal Translation:

The horizontal translation of y = x² is of the form

f(x-h)

so y = y = (x - 12)² means y = x² is shifted 12 right.

Vertical Translation:

y = x²

Then y = x² + b is a vertical translation of y = x²

if b > 0, then y = x² + b is the graph of y = x² 'b' units up.

if b < 0, then y = x² + b is the graph of y = x² 'b' units down.

Thus, y = x² + 3 means the graph y = x²  is vertically shifted up by 2 units.

Please check the attached graph.

Therefore, the graph y = x² can be transformed into the graph of the given equation y = (x - 12)²+3 by shifting the graph of y = x² right 12 units and then up 3 units.

Hence, option D is true.

Answer:

Shift the graph of y = x2 right 12 units and then up 3 units.

Step-by-step explanation:

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