can someone help please.(the part cut out says" Slope intercept form)

We deduce that the ratios would be the same for 2111 sales.

Consequently, it is obvious that firm B has a better ratio for 30000 sales.

Majority of the explanations for ratio and proportion use fractions. A ratio is a fraction that is expressed as a:b, but a proportion says that two ratios are equal. In this case, a and b can be any two integers. The foundation for understanding the numerous concepts in mathematics and science is provided by the two key notions of ratio and proportion.

if A = B then

5x/(3x-3) = 8x/(3x-1)

24x^2 - 24x = 15x^2 - 5x

9x^2 - 19x = 0

x(9x - 19) = 0

x = 0 , not possible because zero number of sales is not possible

or

x = 19/9 thousands = approximately 2111

Therefore, we conclude 2111 sales, the ratios would be the same.

For the second part :

we substitute the value of x as 30000 in the equations to see which ratio is bigger

8*30000/3*30000-1=2.666 or 2.7

5*30000/2*30000-3=2.5

Therefore we can clearly see that the company b has a higher ratio for 30000 sales.

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Marcus's hourly income = $8.50

Amount that has already been saved by Marcus = $50

If Marcus wants to earn at least $475 for a new computer:

Let the amount of hours he will work to earn $475 = t

Since he earns $8.50 hourly and he already saved $475, the inequality will be of the form:

50 + 8.50t ≥ 475

8.50t ≥ 475 - 50

8.50t ≥ 425

t ≥ 425 / 8.50

t ≥ 50

Marcus must work for at least 50 hours

Option A, -9x - 2 = 14x is the required equivalent equation for the equation 5x - 2(7x + 1) = 14x.

What are equivalent equations?

Equations with the same answer or solution are said to be equivalent. Comparisons between linear equations are common. When graphed, linear equations result in straight lines with a slope and a y-intercept. The characteristics that make a linear equation linear are crucial in establishing if two linear equations are equivalent. Although it may not seem like it at first, there are mathematical procedures to determine whether the equivalent equations will have the same solution.

To get equivalent equation of the given equation, we need to simplify it.

So, given equation

5x - 2(7x + 1) = 14x

Lets multiply -2 with 7x+1, we get

5x-14x-2=14x

it can be written as:

-9x - 2 = 14x

This is required equivalent equation.

Therefore, option A is correct answer

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Rate of change is $35.

The momentum of a variable is represented by the rate of change, which is used to mathematically express the percentage change in value over a specified period of time. Divide the change in y-values by the change in x-values to determine the average rate of change. Identifying changes in measurable parameters like average speed or average velocity calls for the knowledge of the average rate of change. The rate of change is expressed by a line's slope. It is frequently used while discussing momentum and is typically expressed as a ratio of one variable's change to another's corresponding change. This ratio is graphically represented by a line's slope.

Given,

Table shows the rental charge of a room in a lodge for different number of days.

y₂ = 245

y₁ = 105

x₂ = 7

x₁ = 3

Rate of change = [tex]\frac{y_{2}-y_{2} }{x_{2}-x_{1} }[/tex]

Rate of change = [tex]\frac{245-105}{7 -3}[/tex]

Rate of change = 35

Rate of change is $35.

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Step by step explanation:

Assuming x as the number of books, the function of production cost is:

And the selling price function would be:

For rhe production cost to be equal to the money from sales we have:

Answer:

The publisher must produce 2784 books

Answer:

[tex]\sqrt{89}[/tex] cm

Step-by-step explanation:

use the pythagorean theorem

[tex]5^{2} +8^{2} =x^{2}[/tex]

25+64=[tex]x^{2}[/tex]

89=[tex]x^{2}[/tex]

[tex]\sqrt{89} =x[/tex]

The line of best fit using Desmos has the equation y = approximately y=-2.45x+11.82.When x = 2.3  y = 6.18.The residual is thus 0.02.

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Remember that

A technical definition of a function is: a relation from a set of inputs to a set of possible outputs where each input is related to exactly one output.

so

in this problem

the input value must be 3

In case it is a 270º Counter-clockwise rotation:

P'(3,-3), Q'(5,-5), R'(6,-3)

In case it is a 270º Clockwise rotation:

P'(-3, 3), Q'(-5,5), R'(-6,3)

1) Since in this case, there is a 270º rotation about the origin then we can write out the following:

As there is no mention of the direction then we'll do it for both cases.

2) For a 270º Counter-Clockwise rotation

Pre-image rule Image

P(3,3) (x,y)=(y,-x) P'(3,-3)

Q(5,5) Q'(5,-5)

R(3,6) R'(6,-3)

3) For a Clockwise Direction

Pre-image rule Image

P(3,3) (x,y)=(-y,x) P'(-3, 3)

Q(5,5) Q'(-5,5)

R(3,6) R'(-6,3)

Answer:

Step-by-step explanation:

Yes, Carmen's sister is correct because 1 liter equals 4.227 (rounded) so yes carmen would have enough milk!

7 is the value of x, and 64° is the measure of the unknown angle.

Triangle angles of 76°, (9x+1)°, and 40° are provided.

According to the triangle's "angle sum property," a triangle's angles add up to 180 degrees. Three sides and three angles, one at each vertex, make up a triangle. The sum of the interior angles in a triangle is always 180o, regardless of whether it is acute, obtuse, or right.

One of the most commonly applied properties in geometry is the triangle's angle sum property. Most often, the unknown angles are calculated using this attribute.

Now, the total of a triangle's three angles equals

76°+(9x+1)°+40°= 180°

⇒ 116+9x+1 = 180

⇒ 9x + 117 = 180

⇒ 9x = 63

⇒ x = 7

So, 9x+1=64°

As a result, x is equal to 7 and the unmeasured angle is 64°.

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Answer:

c. no solution

d. x = 11, y = -5

Step-by-step explanation:

c.

3x - y = 7----->3x - (3x - 2) = 7

y = 3x - 2 3x - 3x + 2 = 7

2 = 7, so no solution

d.

x + 2y = 1 ----> 3x + 6y = 3

3x + 5y = 8----> 3x + 5y = 8

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

y = -5

x + 2(-5) = 1

x - 10 = 1

x = 11

the expression "-6 is located to the left of -1" can be written as follow:

-6 < - 1

where the < symbol means "lower than", that is, you have "-6 is lower than -1".

The number of students who prefer soccer to the total number of students in Arturo's class is represented by:

16:20

Dividing by 4 on each side of the proportion we have

4:5

Final answer is: 4:5

An order relationship with greater than, greater than or equal to, less than, or less than or equal to between two algebraic expressions. The solution of inequality -3x+4≥10 is x≤-2

An order relationship with greater than, greater than or equal to, less than, or less than or equal to between two algebraic expressions.

The given inequality is

-3x+4≥10.

To solve the above inequality  

Subtract -4 from both sides.

-3x+4-4≥10-4

+4 and -4 we get zero.

-3x≥6

Divide by 3 on both sides

-x≥2

When negative sign is multiplied on both sides, the greater than or equal to symbol changes to lesser than or equal to.

x≤-2

Hence x≤-2 is solution for -3x+4≥10.

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Notice that on the second step, we have the following:

in this case, the -2 is multiplying x-7, then to eliminate it, we have to divide by 2 both sides of the equation.

if we divide by -2, we have the following:

finally, if we add7 on both sides, we get:

therefore, x = 4

Answer: 8 days

Step-by-step explanation:

1) Set up an equation. Let x be the day

3,500 >= 2(816) + x(100+95)

The 816 is just two times (Plane ticket back and forth) so it doesn't go into the x. 100 and 95 do as it is one day.

2) Solve the equation

3,500 >= 2(816) + x(100+95)

1868 >= 195x

9.57 >= x

3) Rounding

Since the x has to be less than 9.57, our next option is 8

Answer:

$5507.98

Explanation:

To find the value of the account, we use the compound interest formula below:

From the given information:

• Principal,P=$4500

• Interest Rate, r=4.5%=0.045

• Number of compounding periods, n=12 (Monthly)

• Time, t=4.5 years

Substituting the given values, we have:

The value of the account when the customer takes the money at the end of the 4.5 years is $5507.98.

The slowest rate of change that is the slowest for the training program is: 3 minutes per day.

In a given function that is expressed in slope-intercept form as .f(x) = mx + b, the rate of change of the function is represented as "m", while the starting or initial value is represented as "b" in the equation.

Given that Rachel increases the time she runs by 3 minutes for each day, then, the rate of change per day for the training program or Rachel is 3.

Given that the function .f(x) = 5x + 30 represents the minutes Nicole runs per day in the training program, then the rate of change is represented as "5" in the equation. This means that each day, Nicole increases her time of running by 5 minutes as compared to 3 minutes per day that Rachel increases her daily runs.

3 minutes per day is slower than 5 minutes per day, in order words, the slowest rate of change is therefore: 3 minutes per day.

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Answer: The one that starts with (-4,10)

Step-by-step explanation:

Linear means that the numbers are going up at a constant rate. It means, that the y will go up corrosponding x.

1) Linear

X goes up 2 per 4 y

2)  Linear

X goes up 1 per 3y

3)  Linear

X goes up 2 per 4y

4) Not Linear

X goes up 2 per Unequal growth y.

You can tell because it goes up by +5 until the last where it goes up +7

In order to simplify this expression, we need to use the following property:

So we have that:

So the answer is 5.

Answer:

Length between two points is given as √(x1-x2)²+(y1-y2)², where x and y are the coordinates of the points.

Distance = √(1-(-7))²+(-3-2)²

= √8²+(-5)²

= √64+25

= √89

= 9.43

= 9.4 (nearest tenth)

The slope of a line perpendicular to the line 6x + 8y = -128 is 4/3.

Given,

The equation of a line = 6x + 8y = -128

We have to convert this into standard form of linear equation, y = mx + b :

So,

6x + 8y = -128

Add -6x to both sides,

6x + 8y - 6x = -6x - 128

Now,

8y = -6x - 128

Divide 8 on both sides

8y/8 = (-6x - 128) / 8

We get,

y = -6/8x - 16

Here, this is in standard form of linear equation.

Here slope of line, m₁ = -6/8

We have to find the slope of line(m₂) which is perpendicular to the given line.

If the line is perpendicular, the slope(m₂) will be the negative reciprocal of the slope(m₁) of the given line.

That is,

Slope of line, (m₂)= -(m₁) =  - (-8/6) = 8/6 = 4/3

That is, the slope of the line which is perpendicular to the given line is 4/3.

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In this case we have two functions. The first one is the volume of the balloon and the other is the value of the radius. Both functions depend on the variable time.

Finding the functions to solve the problem, we have:

Let us replace the second function in the first one to get a composite function. Doing so, we have:

Now, we can replace t=11 to find the value of the volume.

The answer is 12248.9 cm3 (Rounding to the nearest tenth of a centimeter).

the expression is,

Now,

so the number n is between 11 and 13

that is n = 12

thus, the answer is n = 12

The graph of the line with slope 2/3 and passing through the point (3,-1) is given by

What is an equation of the line?

An equation of the line is a way of representing the set points which form a line in coordinates system. A basic equation of line is y=mx+c

We are given the slope of line as 2/3 and the line passes through the point (3,-1)

We substitute the values in slope intercept form we get

[tex]-1=\frac{2}{3}*3 +c\\c=-1-2\\c=-3[/tex]

Substituting the value of c in the original equation we get

y=2/3x-3

Hence the plot the graph of the above equation

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A.40

Explanation

Step 1 (with number 347 and 490)

347

the digit 7 is at one's place

digit 4 is at ten's place

and digit 3 is at hundred's place

then

the value 4 represents is

Answer: 40,000

Step-by-step explanation:

347800:three hundered and forty-seven thousand. Big chunugess

s