Write the linear equation in slope-intercept form and simplify.

-10x – 17y = 14

Answer:

step below

Step-by-step explanation:

x + 4y = 30

x – 2y=0

x= 2y

2y + 4y = 30

6y = 30

y = 5

x = 10

Answer:

C. 1

Step-by-step explanation:

Use the formula to find slope:

(y2-y1)/(x2-x1)

Plug in the numbers you have.

(9 - 2)/(3 - -4)

7/7

1

Slope of the line shown below is option C. 1

Slope of a line is the ratio of the change in y coordinates to the change in the x coordinates of two points given.

Slope can also be defined as the tangent of the angle that the line is making with the positive X axis.

Given is a line.

Slope must be positive since the line is drawn in the positive direction.

Consider two points along the line.

Consider (-4, 2) and (3, 9).

Slope = change in y coordinates / change in x coordinates

          = (9 - 2) / (3 - -4)

          = 7 / 7

          = 1

Hence the slope is 1.

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To determine the length of silver colored ribbon that Pete will need to put around a circular logo, we need to calculate the circumference of the logo.

The circumference of a circle can be found using the formula C = πd, where C represents the circumference and d represents the diameter of the circle. However, we are not given the diameter of the logo, so we cannot determine the exact length of the ribbon needed.

Assuming Pete knows the diameter or radius of the logo, he can calculate the circumference using the formula mentioned above. Once the circumference is determined, Pete will know how many inches of silver colored ribbon he will need. It is important to ensure that Pete has a little extra ribbon in case of any measurement errors or mistakes during the ribbon placement.

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Answer:

The answert is "$0.007 / bottle".

Step-by-step explanation:

Please find the complete question in the attachment file.

[tex]\to R(x) =7.5x^{0.7}[/tex]

The  average income:

[tex]\to A(x) = \frac{R(x)}{x} =7.5 x^{-0.3}[/tex]

The change rate on the average revenue:

[tex]\to A'(x) =7.5(-0.3)x^{-1.3}[/tex]

when 81 bottles were produced , then the rate of change in average revenue

[tex]\to =A'(81)\\\\\to -0.007 \ / \ bottle[/tex]

The average income  is decreasing at rate = $0.007 / bottle

6 1/2 / 2 1/4

13/2 x 4/9= 52/18

2 16/18

2 8/9

Answer:

a: y=70x

b: y=70x+100

c: They are parallel to each other, with equation b's line being 100 dollars above equation a.

Step-by-step explanation:

They both have the same slope (70), but new customers will have a y intercept of 100 because of the one-time fee.

c)

Step-by-step explanation:

everybody use their cable difference so when you graph out the amount of cable which come with data the previous customers data and cable rates would be different then the new customers and the company should be able to tell that . but it still does happen today

Answer:

30

Step-by-step explanation:

since this is rhombus 1 2 3 4 must be equal

|NP|=|MN|

so 180-120=60

60/2=30

Answer: All four angles (angle1,2,3,4) are 30 degrees each

===========================================================

Explanation:

A rhombus has all four sides that are the same length. Think of a square, but we don't necessarily need to have all four angles be 90 degrees (as the diagram indicates).

Focus on triangle MNP. We have N = 120 degrees. We also know that MN = NP due to the fact all four sides of a rhombus are the same length.

This immediately leads to triangle MNP being isosceles. The base angles opposite the congruent sides are congruent angles. So angle 1 and angle 3 are the same measure. For triangle MNP, angle M and angle P are the same.

Let's find the missing angle

M+N+P = 180 ... angles of a triangle add to 180

M+120+M = 180 ... plug in N = 120, replace P with M

2M+120 = 180

2M = 180-120 ... subtracting 120 from both sides

2M = 60

M = 60/2 .... dividing both sides by 2

M = 30

So N is also 30 degrees

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

We've found that both angle 1 and angle 3 are 30 degrees each.

Any rhombus is a parallelogram, which means that angles 1 and 4 are congruent alternate interior angles. Similarly, angles 2 and 3 are the other pair of alternate interior angles.

Therefore, we can say

angle 1 = angle 4 = 30 degrees

angle 2 = angle 3 = 30 degrees

Answer:

Comparing the age of two people both ... solve our problem we will fill out a three by three table for each problem. ... To show Adam is 20 years younger we subtract 20, Adam isx −20. Age Now. +2 ... 3. Pat is 20 years older than his son James. In two years Pat will be twice as old.

Answer:

Sage is 17 years young.

Step-by-step explanation:

A score is referring to 20 of something.

It says Sage is 3 years younger than a score.

20-3=17

I hope this is what the question means, otherwise, I'm clueless.

Answer:

The GCF is 2²

Step-by-step explanation:

The factored expression would be 2²(4x+3) .

Answer:

Reflect over the axis of y=x-4

Step-by-step explanation:

f(x)=1/2x-2

g(x)=2x-8

axis of reflection: y=x-4

(This is my best guess)

Answer:

Response Error

Step-by-step explanation:

Answer:

b is the answer

Step-by-step explanation:

the graph of f(x)=0.5x is replaced by the graph of g(x) = 0.5x-k

if g(x) is obtained by shifting f(x) down by 5 units,

then the graph of f(x) = 0.5x is replaced by the graph of g(x) = 0.5x-5

so k = 5 units

hope this helps

Answer:

Bullying is making fun of or hurting someone and a conflict is a disagreement that is serious

Step-by-step explanation:

Answer:

Answer:

First, we will substitute x for cm, and then graph the equation to find the solution

Step-by-step explanation:

Therefore, the answer is (7,0)

Answer: Option A.  (4, -2)

Step-by-step explanation:

Here we have the transformation such that the points are shifted right 4 and then down 2.

We originially have the point (0, 0)

This means that when x = 0, we have f(0) = 0

such that:

f(0) = 0^3 = 0.

Now we have the function:

g(x) = (x - 4)^3 - 2

The equivalent point to the point (0, 0) is such that the input of the function g(x) (the input is (x - 4)) is equal to the input on the original point (x = 0)

The new input is equal to zero when x = 4.

Such that:

g(4) = (4 - 4)^3 - 2 = (0)^3 - 2 = -2

Then we have the point x = 4, y = -2, or (4, -2)

Then the correct option is A.

Answer:

0.72secs

Step-by-step explanation:

Given the height of the ball in air modeled by the equation:

h=−16t²+23t+4

Required

Total time it spent in the air

To get this we need to calculate its time at the maximum height

At the maximum height,

v = dh/dt = 0

-32t + 23 = 0

-32t = -23

t = 23/32

t = 0.72secs

Hence the total time it spend in the air will be 0.72secs

The total time for which the ball is in the air is 0.72 seconds and this can be determined by differentiating the given function.

Given :

A boy throws a ball into the air. The equation [tex]\rm h = -16t^2+23t+4[/tex] models the path of the ball, where h is the height (in feet) of the ball t seconds after it is thrown.

Differentiate the given function of height with respect to 't' in order to determine the value of 't'.

[tex]\rm h = -16t^2+23t+4[/tex]

[tex]\rm \dfrac{dh}{dt}=-32t+23[/tex]

Now, equate the above differential equation to zero.

-32t + 23 = 0

23 = 32t

t = 0.72 seconds

So, the total time for which the ball is in the air is 0.72 seconds.

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Answer:

Step-by-step explanation:

Given triangle with sides:

Perimeter is:

Answer:

whats the question

Step-by-step explanation:

Answer:

B and C

Step-by-step explanation:

For the first one, any two shades of paint will be different if they're different numbers, and the same shade if they're the same numbers. Knowing this, we can see:

A , D, and E are all the same number (1/3) so they're all the same shade.

The remaining shades (B and C) are both 1/2 so they're the same shade.

Therefore there are two different shades of paint.

For the second one, we know that the more red the shade is, the larger the fraction will be. So we just need to look for the shades with the largest fraction. These are shades B and C, because they are both 1/2 (aka 50% red), whereas all the others are 1/3 (aka 33.3% red).

Answer:

The answer is 2427.5

Step-by-step explanation:

The fraction consists of two numbers and a fraction bar: 4,855/200

The number above the bar is called numerator: 4,855

The number below the bar is called denominator: 200

The fraction bar means that the two numbers are dividing themselves.

To get fraction's value divide the numerator by the denominator:

Value = 4,855 ÷ 200

To calculate the greatest common factor, GCF:

1. Build the prime factorizations of the numerator and denominator.

2. Multiply all the common prime factors, by the lowest exponents.

Factor both the numerator and denominator, break them down to prime factors:

Prime Factorization of a number: finding the prime numbers that multiply together to make that number.

4,855 = 5 × 971;

4,855 is a composite number;

In exponential notation:

200 = 2 × 2 × 2 × 5 × 5 = 23 × 52;

200 is a composite number;

Answer:

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Step-by-step explanation:

Answer:

Danielle earns $1.20 more than Mackenzie (per hour)

Step-by-step explanation:

To find out how much money per hour each person earns, you would divide the earinings by the number of hours;

Danielle: $36.80/4 = $9.20 per hour

MackKenzie: $50.40/6 = $8.40 per hour

To find out how much extra Danielle earns, you would subtract 8.40 from 9.20;

9.40 - 8.20 = $1.20

Thus, Danielle earns $1.20 more than Mackenzie per hour.

Answer: 2:4 or 1:2

You could also write it in a fraction 1/2

Answer:

2:4

Step-by-step explanation:

We know that Malik has 4 blue pencils and 2 red pencils. Therefore, the ratio of red pencils to blue pencils is 2:4.

# of red pencils : # of blue pencils

2 red pencils : 4 blue pencils

2:4

I hope this helps!

Answer:    The correct answer is B, the slope is -1/2.

Step-by-step explanation: I hope you have a blessed day. ;)

An increase divided by the run equals the slope: The rise and run of a line can be used to figure out its slope out of its graph, its value is [tex]\frac{1}{2}[/tex].

Given points:

Point A ⇒ (4,2)

Point B ⇒ (6,3)

calculate the slope value:

slope formula:

     [tex]=\frac{y_2-y_1}{x_2-x_1}\\\\=\frac{2-3}{4-6}\\\\=\frac{-1}{-2}\\\\=\frac{1}{2}[/tex]

Since all three aspects are all on the same line, their slopes will be the same. so, the slope value [tex]\frac{1}{2}[/tex].

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Answer:

c < -26

Step-by-step explanation:

c+6<-20

Subtract 6 from each side

c+6-6<-20-6

c < -26

Step-by-step explanation:

c+6<-20

c < -20-6

c < -26

or

c ∈ 《-∞ ,-26》

Answer:

D.) X=23

Step-by-step explanation:

cause you add 8 to each side then simplify and you get 23