Write the​ point-slope form of the equation of the line satisfying the given conditions. Then use the​ point-slope form of the equation to write the​ slope-intercept form of the equation.
Slope=5​, passing through ​(2​,3​)

Answer:

B. 5 |q−10| =35

Step-by-step explanation:

Solution:

let's try to understand the problem clearly.

In this question, we asked to calculate the number units which that company produces so that it's profit is decreased from the maximum profit.

We know that, for 10000 units = company will get maximum profit.

Any value less than or greater than 10000 units will decrease the profit.

and we also know that,

For every 1000 units profit is decreased by $5000.

So if maximum profit is at 10000 units,

Then at 9000 units = it will have profit decreased by 5000 from the maximum

if q = 11000 then profit = Maximum - 5000

But we are asked to calculate the profit decrease of $35000 from the maximum.

it means we need 5000 decreased by 7 times = 10000 +  7000 = 17000 units

So, if company produces 17000 units,

profit will be decreased by 5(7000) = 35000

Finally,

B. is the only equation which satisfies this condition.

B.  5 (q-10) = 35

(q-10) = 7

q = 10 + 7 = 17

q = 17000 units

Hence, for 17000 units, company's profit will decrease $35000 from the maximum profit.

The number of square inches of cardboard that are needed to make one

the container is 18.

We have,

The volume of the triangular prism.

= Area of the triangle x height

Now,

Height = 6 in

And,

To find the area of a triangle, we can use Heron's formula.

A = √(s(s-a)(s-b)(s-c))

where s is the semi-perimeter of the triangle, calculated as:

s = (a + b + c) / 2

In this case, the side lengths of the triangle are 3.2 in, 3.2 in, and 2 in.

Let's calculate the area using Heron's formula:

s = (3.2 + 3.2 + 2) / 2 = 4.2

A = √(4.2(4.2 - 3.2)(4.2 - 3.2)(4.2 - 2))

A = √(4.2 x 1 x 1 x 2.2)

A = √(9.24)

A ≈ 3.04 square inches

Now,

The volume of the triangular prism.

= Area of the triangle x height

= 3.04 x 6

= 18.24 in²

Now,

Area of one cardboard.

= 1² in²

= 1 in²

Now,

The number of square inches of cardboard that are needed to make one

container.

= The volume of the triangular prism / Area of one cardboard

= 18.24 in² / 1 in²

= 18.24

= 18

Therefore,

The number of square inches of cardboard that are needed to make one

the container is 18.

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Answer:

a

Step-by-step explanation:

wht not

Answer:

Therefore, you need 2600 pounds of 35% supplement and 1300 - 2600 = -1300 pounds of 10% ration.

Step-by-step explanation:

The unknown variable is x, which is the amount of 35% supplement needed. The other expressions are derived from the given information and the fact that the total amount of solution is 1300 pounds.

The equation from the fourth column is:

0.35x + 0.10(1300 - x) = 0.25(1300)

Solving for x, we get:

x = (0.25(1300) - 0.10(1300)) / (0.35 - 0.10) x = 650 / 0.25 x = 2600

Answer: b-4 ≥ 16 || Solved: b≥ 20

Step-by-step explanation:

The keywords in this math problem: The DIFFERENCE between b and 4, and this shows subtraction. So, b - 4. AT LEAST means greater than or equal to.

Now we have the equation b-4 ≥ 16.
To solve this, we add 4 to both sides of the equation- 4+4 cancels out, and 16+4 = 20.
That leaves the variable alone and the final answer is b ≥ 20.

Hope this helps!

Answer:

B It shows that when 0 canisters of helium are used, 0 balloons are created

Step-by-step explanation:

from the graph, we can see that point (0,0) means that when the number of canisters of helium used is 0, then the number of balloons created is also 0

the closest answer to this observation is:

B It shows that when 0 canisters of helium are used, 0 balloons are created

Answer:

Step-by-step explanation:

y  =2/3x  +  1/3

slope 2/3

y-intercept:   (0  ,1/  3)

Answer:

Step-by-step explanation:

- 2x + 3y = -1​ is the equation of a line

Pick any values for x then find y or for y and then find x;

if you have two points you can draw a line trough those two points.

For example,

pick x= -1 then find y

- 2*(-1) + 3y = -1​

         2+ 3y = -1

              3y = -1-2

                y= -3/3

                y= -1

First point has the coordinates (-1, -1)

pick y = 1 then find x

- 2x + 3*1  = -1​

      -2x +3 = -1

           -2x = -1-3

            -2x = -4

                x= -4/-2

                x= 2

Second point has the coordinate (2, 1)

Draw a line trough the points (-1, -1) and (2,1) to sketch the graph of -2x+3y = -1

It increases the amount by $100,000. Therefore, option C is the correct answer.

A percentage is a certain number or part in every hundred. It is a fraction with the denominator 100, and the symbol for it is "%."

Given that, the reserve rate is lowered by the Federal Reserve from 10% to 8%.

Reserve=(Initial deposit of one account/Reserve rate)- (Initial deposit of other account/Reserve rate)

Reserve=(40,000/ 0.08)- (400,000/0.10)

Reserve=$500,000-$400,000

Reserve=$100,000 increase

Therefore, option C is the correct answer.

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Answer:

140

Step-by-step explanation:

2{ 2[24 + 4(9)-25]}

2{ 2[24 + 36-25]}

2{ 2[35]}

2(70)

140

Answer:

Step-by-step explanation:

it would be "c" because the question asks for the number that makes the inequality true

4x≤ x+3

the graph in c is saying that every number that is 1 or less than 1 makes the inequality true. so lets take -7 as an example

4 x -7=-28

-28+3=-25

-25 is greater than -28 so the inequality is true. the reason why graph d doesnt work is because if we plug in 2 into the equation, then 4x =8 and x+3=5

5 is not greater than 8 so it doesnt work

Answer:

7

Step-by-step explanation:

i had it

Answer:

t = 401

Step-by-step explanation:

379 fewer than t is 22

t - 379 = 22

t is 379 more than 22

t = 22 + 379

t = 401

Answer:

the only answer that makes sense would be the length

Answer:

Log(x)

Step-by-step explanation:

From the question;

We are to find possible side lengths of a triangle

To get this we will follow the principle below

considering the triangle with side lengths

we have

Therefore,

The possible side lengths of a triangle is 4cm, 8cm, 10cm

Answer:

They are collinear if they are on the same line

The next numbers in the series will be 0,1,-2,-1,0,-3,-2,-1........

This refers to a pattern of arranging numbers. In the number series problems, we will have to make the rules that result in the formation of a number series.

From the question:

1, 2, 3, 0, 1, 2, -1

First value plus one, second value plus one, Third value minus three. Then the pattern starts afresh again.

1 +1 = 2

2 + 1 = 3

3 -3 =0

0+1  = 1

1 + 1 = 2

2 -3 =-1

-1 + 1 =0

0 + 1 =1

1  - 3 = -2

-2 + 1 = -1

-1 + 1 = 0

0 -3 = -3

-3 + 1 = -2

-2 + 1= -1

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The restricted domain of the function is 0≤s≤25

The equation is a(s) = 37.5s - 1.5s²  models the function represented in the table

a(s) = s(37.5 - 1.5s)

The critical points are s=0 or

37.5 - 1.5s

37.5 = 1.5s

s=25

As area can not be negative, the area should be positive

s< 0 and s>25

Therefore, restricted domain is 0≤s≤25

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Answer:

hi ,your answer is correct

Answer: correct!

Step-by-step explanation:

Good job!

Answer:

y=5 would be the equation

Step-by-step explanation:

when the line is horizontal you would take the y coordinate of the coordinate given to you and put that into y=n with n being the value of the y coordinate

if the line were vertical you would take the x coordinate of the coordinate given to you and put that into x=n with n being the value of the y coordinate

As you can see below, both expressions result in the same value of 105. This demonstrates the application of the associative law in regrouping terms and maintaining the equivalence of the expression.

The associative law in mathematics states that the grouping of numbers in an addition or multiplication operation does not affect the result. In other words, you can regroup terms within parentheses without changing the value of the expression.

Using the associative law, we can regroup the terms in the expression s + (r + 75) by removing the parentheses and rearranging the terms:

s + (r + 75) = (s + r) + 75

The expression (s + r) + 75 is equivalent to s + (r + 75) because the addition operation is associative.

Let's take an example to illustrate this:

Suppose s = 10 and r = 20.

Using the original expression:

s + (r + 75) = 10 + (20 + 75) = 10 + 95 = 105

Using the expression with regrouped terms:

(s + r) + 75 = (10 + 20) + 75 = 30 + 75 = 105

As you can see, both expressions result in the same value of 105. This demonstrates the application of the associative law in regrouping terms and maintaining the equivalence of the expression.

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Answer:

1

Step-by-step explanation:

m = y2-y1 / x2-x1

m = -6+1 / 3-7

m = -5/-5

m = 1

Answer:

Slope = -5/4

Step-by-step explanation:

Complete Question

The complete question is shown on the first uploaded image

Answer:

The correct option is b

Step-by-step explanation:

The correct option  is  matched pair design the reason for this is because in the experiment individual(elements)  are group into pairs based on a characteristics that they have in common (in this question the characteristics being a twin) and then within each group the subject a placed on different treatment , in the case of this question each twin in each group are placed on different treatment (i.e one is given the mouthwash while the other is not ).

This process which I have explained is how a matched pair design is carried out

Explanation

We are asked to find the modes of the given data

From the above, we have the following numbers and their frequencies

3 occurs once

4 occurs 2 times

5 occurs 4 times

6 occurs 4 times

Mode simply means the most occurring number in a data set

From the given question, we have that the modes are 5 and 6 because they occur 4 times each

Therefore

The answer is

table using this function rule. y=-10x+2

X |

-1 | 12

0 | 2

1 | -8

Based on the given function rule, y = -10x + 2, we can substitute the given values of x into the equation to find the corresponding values of y:

When x = -5:

y = -10(-5) + 2

y = 50 + 2

y = 52

When x = -1:

y = -10(-1) + 2

y = 10 + 2

y = 12

When x = 0:

y = -10(0) + 2

y = 0 + 2

y = 2

When x = 1:

y = -10(1) + 2

y = -10 + 2

y = -8

So, the completed table is:

X | y

-5 | 52

-1 | 12

0 | 2

1 | -8

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Answer:

-5 is the x and 10/3 is the y i think

Step-by-step explanation:

Answer:

The answer is 3.64m

This is because if you draw a diagram, and label all the sides of the triangle (opp, hyp, adj), the adjacent angle is 3m. You can now use the sine rule to find the hypotenuse (length of ladder) by doing: cos 30= 3/h. You divide cos 30 by 3 and you get the answer of 3.64m rounding to 2 decimal places.

Answer:

Thanks for the points

Step-by-step explanation: