Can someone please help me with this?

Answer: -6

Step-by-step explanation:

Given: y = 100 - 2x

New: y = 100 - 2(x + 3)

          = 100 - 2x - 6

          = 94 - 2x

The original equation had a y-intercept of 100.  The new equation has a y-intercept of 94.  The y-value changes by -6 units.

Answer: x=3

Step-by-step explanation:

[tex]g(x)=x^3-3\\\\g(x)=24\\\\Hence,\\\\x^3-3=24\\\\x^3-3+3=24+3\\\\x^3=27\\\\x^3=3^3\\\\Thus,\\\\x=3[/tex]

If jenny and penny play on the same basketball team last season a combined total of 485 points. Jenny scored 192 of points then the points penny scored is 293.

Jenny and penny play on the same basketball team last season a combined total of 485 points.

Individually Jenny scored 192 of points.

Let the score of penny on the same basketball team last season be x

Then the equation which represents the combined score of Jenny and Penny is

x + 192 = 485

x = 485 - 192

x = 293

The score of penny on the same basketball team last season is 293 points.

Therefore, if  jenny and penny play on the same basketball team last season a combined total of 485 points. Jenny scored 192 of points then the points penny scored is 293.

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Answer:

$8.75

Step-by-step explanation:

$4.50 × 2.5 = $11.25

$20.00 - $11.25 = $8.75 change

The y-intercept of the equation is 4.

The equation of a line is

y = mx + c

x, y is the point on the line

m = slope of a line

c = y-intercept

As the equation of a line is 3x + 2y = 8.

We have to find the y-intercept of the equation.

3x + 2y = 8

2y = -3x + 8

y = -3/2x + 4

y = mx + c

So from this, we get the y-intercept

c = 4

Therefore the y-intercept of the equation is 4.

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A sequence of transformations that would not return a shape to its original position is: 'Translate 3 unit left, then 3 units down.'

1. Reflect over line x, and over x again.

These transformations are direct opposite and will cancel out one another. Hence, the shape will return to its initial position.

2. Translate 1 unit up, then 4 units down, then 3 units up.

This transformation will return a shape to its original position.

3. Rotate 270° counterclockwise around center C, then rotate 90° counterclockwise around C again.

This means, rotate object by 360° counterclockwise around C.

And this sequence of  transformations will return a shape to its original position.

4. Translate 3 unit left, then 3 units down.

These sequence of transformations would not make a shape go back to its original position.

Therefore, a sequence of transformations that would not return a shape to its original position is: 'Translate 3 unit left, then 3 units down.'

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Rakesha  claims y =5x -7 is linear function for the sequence and represented by explicit formula is represented by aₙ = -2 +5(n-1).

As given in the question,

Linear function for the sequence represented by ;

y = 5x -7

Compare it with y = mx + b

m = 5

b= -7

For x = 1

First term (a₁)

y = 5(1) -7

  = -2

For x =2

second term (a₂)

y = 5(2) -7

  =3

Common difference = second term - first term

                               = 3 - (-2)

                               = 5

nth term of the sequence :

aₙ = a₁ + (n-1)d

   = -2 + (n-1)5

    = -2 +5(n-1) represent the  explicit formula.

Therefore, Rakesha  claims y =5x -7 is linear function for the sequence and represented by explicit formula is represented by

aₙ = -2 +5(n-1).

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The rates for this problem are given as follows:

1) Between 0 and 2 seconds: 1 meter per second.

2) Between 2 and 4 seconds: 0.5 meters per second.

3) Between 4 and 7 seconds: -1 meter per second.

4) Between 7 and 9 seconds: 0 meters per second.

The rates are not constant.

The average rate of change of a function is given by the change in the output divided by the change in the input. Hence, over an interval [a,b], the rate is given according to the following rule:

[tex]r = \frac{f(b) - f(a)}{b - a}[/tex]

For the first rate, between 0 and 2 seconds, we have that:

Hence:

r = (7 - 5)/(2 - 0) = 2/2 = 1 meter per second.

For the second rate, between 2 and 4 seconds, we have that:

Hence:

r = (8 - 7)/(4 - 2) = 1/2 = 0.5 meters per second.

This rate is already different than the first rate, hence the rates are not constant.

For the third rate, between 4 and 7 seconds, we have that:

Hence:

r = (5 - 8)/(7 - 4) = -3/3 = -1 meter per second.

For the fourth rate, between 7 and 9 seconds, we have that:

Hence:

r = (5 - 5)/(9 - 7) = 0/2 = 0 meters per second.

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Hey, this question lacks the statement, answer choices, and pictures...etc

I can't answer unless you give more details.

The length of the rectangle is 49 cm.

What is perimeter?

Perimeter is the total distance covered by its boundaries or the sides. Since there are four sides of a rectangle, thus, the perimeter of the rectangle will be the sum of all four sides.

P = sum of all its four sides

P = a + b + a + b   (Opposite sides of rectangle are equal)

P = 2(a + b)

where a is the length and b is the breadth.

According to question, the breadth is 7 cm shorter than length.

Let x be the length and x - 7 be the breadth.

perimeter = 210 cm

2(x+x-7) = 210

2x - 7 = 210/2

2x - 7 = 105

2x = 105 - 7

2x = 98

x = 49

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The correct answer is the first option.

We can show that the 2 triangles are congruent by using vertical angles, to prove that m∠DCA = m∠TCS

Then by Alternating Interior Triangles, m∠A = m∠T and m∠D = m∠S

And finally, the sides AC and CS are equal, and DC = CT

Then we have 3 pairs of congruent corresponding sides and 3 pairs of congruent corresponding angles, which is the first option.

the linear equation has solution b=3x+9y/a

what is linear equation?

An equation is said to be linear if the maximum power of the variable is consistently 1. Another name for it is a one-degree equation. the equation can be represented as Ax+ By= C,

x, y are variable, A,B, C are constant.

so given equation

x+3y=ab/3

multiply 3 on both side

⇒ ab=3x+9y

⇒b= 3x+9y/a

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Answer:

Technically, there is a proportionality because there will always be more road bikes than mountain bikes rented, but the proportionality is not completely constant as the ratio is 300/425 which is 0.75 compared to 575/680 which is 0.84.

Answer:

a

Step-by-step explanation:

hope that helps

The simplified fraction is  [tex]\frac{7}{90}[/tex]

How are the fractions multiplied?

[tex]\frac{2}{15} *\frac{7}{12} \\\\=\frac{7}{15*6} \\\\=\frac{7}{90}[/tex]

What is product of fractions?

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7/90 is the simple fraction.

2/15*7/12

=7/15*6

=7/90

The fractions can be made more simpler before being multiplied by removing common components from the numerator and denominator.

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Answer:log_3 (3) + log_3(x)

=log_3(36)

Step-by-step explanation:log_3 (3) + log_3(x)

=log_3(36)log_3 (3) + log_3(x)

=log_3(36)

Answer:

For two functions to be equal, the arguments of each must be equal.

x=12

Step-by-step explanation:

The second pit stop was 0.327 seconds faster than the first pit stop which is the difference between both time

Subtraction is a mathematical operation that deducts the right-hand operand from the left-hand operand.

for example 4 -2 = 2

We have been given that during a race the first pit stop took 8.352 seconds and the second pit stop took 8.025 seconds.

To determine how much faster the second pit stop.

We need to calculate the difference between the first pit stop and the second pit stop of time.

the difference = Time of first pit stop - Time of second pit stop

the difference = 8.352 - 8.025

the difference = 0.327 second

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the answer should be 6, 12, 18. 24

The polynomial that passes through the point (5,100) has the leading coefficient or c equal to 1.38.

We need to determine the leading coefficient c of the polynomial which passes through the point (5,100).

Given polynomial: f(x) = c(x - 1)(x + 1)(x-2)

Substituting f(x) = 100 and x = 5,

100 = c(4)(6)(3)

100 = c72

c= 1.38

Therefore, the leading coefficient c of the polynomial given that the graph goes through the point (5,100) is 1.38.

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x^2+4x-5>0 is the required quadratic inequality which is represented in the graph

Quadratic inequality: A quadratic inequality is an equation of second degree that uses an inequality sign instead of an equal sign. Examples of quadratic inequalities are: x2 – 6x – 16 ≤ 0, 2x2 – 11x + 12 > 0, x2 + 4 > 0, x2 – 3x + 2 ≤ 0 etc. Solving a quadratic inequality in Algebra is similar to solving a quadratic equation

as per the shaded region we can consider a number line from (-5,0) to(,1,0)

where x lies between the two points as per the given question

-5<x<1

which gives x>-5 and x<1

in the shaded region f(x)>0

so we can directly write that ,

(x+5)(x-1)>0

x^2-x+5x-5>0

x^2+4x-5>0

x^2+4x-5>0 is the required quadratic inequality which is represented in the graph

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The value of a, b and c in Y=ax²+bx+c are 3, -5 and 1 respectively.

As it is provided that the quadratic equation Y=ax²+bx+c goes through the coordinates  (-2, 23), (-1, 9), and (4, 29).

One of the method of solving quadratic is by putting the points,

So, it means that these coordinates will satisfy the equation,

So, putting the coordinates in the equation one by one,

First putting (-2,23)

We get,

(23) = a(-2)²+b(-2)+c

23 = 4a-2b+c

Now, putting, (-1,9)

We get,

(9) = a(-1)²+b(-1)+c

9 = a-b+c

From here, we get,

c = 9-a+b.

Now, putting (4,29)

We get,

(29) = a(4)²+b(4)+c

29 = 16a+4b+c

Now, putting c = 9-a+b, in 29 = 16a+4b+c  and 23 = 4a-2b+c,

we get,

29 = 16a+4b+9-a+b

20 = 15a + 5b

dividing by 5,

4 = 3a+b ….. Equation (1)

Now,

c = 9-a+b in 23 = 4a-2b+c,

23 = 4a-2b+9-a+b

14 = 3a-b ….. Equation (2)

Adding equation 1 and 2,

18 = 6a

a = 3,

Putting a = 3 in equation 1,

4 = 3(3)+b

b = -5

We know,

c = 9-a+b

c = 9-3+(-5)

c = 1

So, a = 3, b = -5 and c = 1.

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Answer:

answer 2 is correct as we have to put 6 in front of 3 , and x infront of 28. doesn't matter if we change its position.

Ok, so

First of all, remember that a line can be described by two forms:

1. y = mx+b, where m is the slope and b is the y - intercept-

2. We would have the general equation for a line, which is:

Ax + By + C = 0

Where m(slope) is -A/B and the intercept (b) is -C/B.

Now, let's find the slope and y - intercept for each line here below.

a. y = 5 - 6x

Here we have a line which has the first form (1). So, if we rewrite:

y = - 6x + 5.

So, If we compare with the first equation, we notice that m = -6 and b = 5

or, m = -6 and b = (0,5)

b. y = (5/6)x + 1

Here we have a line which has the first form (1).

So, if we compare, we notice that m = 5/6 and b = 1, or, m = 5/6 and b = (0,1)

c. 5x - 6y = 6

If we rewrite the equation:

5x - 6y - 6 = 0

Here we have a line which has the second form (2).

We know that

A = 5

B = -6

C = -6

If we replace, m = -A/B, which is -(5) / (-6) , and this is 5/6.

And, y intercept will occurs at y = -C/B, which is -(-6) / -6, which is 6/-6, or -1.

So, the slope will be 5/6 and y-intercept (0,-1).

m = 5/6 and b = (0,-1)

d. 5x + 6y = 6

If we rewrite the equation:

5x + 6y - 6 = 0

Here we have a line which has the second form (2).

We know that:

A = 5

B = 6

C = -6

If we replace, m = -A/B, which is -(5) / 6, so, m = -5/6

And, y intercept will occurs at y = -C/B, which is -(-6) / 6, so, b = 1

Finally, m = -5/6, and b = (0,1)

A percentage is a figure or ratio stated as a fraction of 100 in mathematics. Although the abbreviations "pct.", "pct.", and occasionally "pc" are also used, the percent symbol, "%," is frequently used to indicate it.

A % is a number without dimensions and without a standard measurement.

How many students were on the honor roll overall as a percentage increase?

In response: The circumstances we are aware of, boys: 144 * 1+25% =144 * 1.25=180 girls: 75 * 1+16% =75 * 1.16=87 144+75. There were 75 females and 144 guys on the honor list at a particular high school last year. In comparison to last year, there were 25% more males and 16% more girls on the honor roll this year.

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Answer:

dancing

Step-by-step explanation:

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a

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c

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ok

Answer:

A) 25% or 1/4

B) 5% or 1/20

Step-by-step explanation:

Part A)

Divide the down payment by the total purchase price to find the percent:

[tex]60,000/240,000=1/4=0.25[/tex]

Part B)

Divide the new down payment by the total purchase price to find the percent:

[tex]12,000/240,000=1/20=0.05[/tex]

The class interval of the histogram based on the information will lie between B. 150 ≤ h < 165.

It should be noted that a histogram simply means a graph that is used to show the data given. It helps with the distribution of data.

In this case, the histogram shows the heights of the students.

It should be noted that the median simply means the number in the middle. In this case, the median will be between 150 and 165 based on the diagram.

In conclusion, the correct option is B.

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Solution

We are given

We want to find make table and graph

(a). To make table, We take

Similarly, we find the values for the remaining values of x

To draw the graph, we have

Answer:

a)77/100 b)7/10 c)7/100

Step-by-step explanation: