Write an equation in point slope form and slope intercept form (2,-7) slope =3

The point where the line 2x + 3y = 6 intersects the x-axis is (3, 0). This means that when x is equal to 3, y is equal to 0.

To graph the equation 2x + 3y = 6, we can rewrite it in the slope-intercept form, y = mx + b, where m represents the slope and b represents the y-intercept.

Starting with the given equation, we isolate y to one side:

3y = -2x + 6

y = (-2/3)x + 2

Now, we have the equation in slope-intercept form, y = (-2/3)x + 2. The slope is -2/3, and the y-intercept is (0, 2).

To find the point where the graph intersects the x-axis, we need to determine the coordinates where y is equal to zero. This occurs when the line crosses the x-axis.

Setting y = 0 in the equation, we have:

0 = (-2/3)x + 2

(-2/3)x = -2

x = (-2)(-3/2) = 3

Therefore, the point where the line 2x + 3y = 6 intersects the x-axis is (3, 0). This means that when x is equal to 3, y is equal to 0, indicating the point of intersection with the x-axis on the graph.

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Answer: ok

Step-by-step explanation: :D

The impact on Carns Company's income from eliminating the Small Tools Division would be a decrease of $1,209,000.

To determine the impact on Carns Company's income from eliminating the Small Tools Division, we need to consider the avoidable costs associated with the division.

The avoidable costs include all of the variable costs of the division and a portion of the fixed costs that are specifically related to the Small Tools Division. In this case, the variable costs of the division are $1,295,000, and $119,000 of the fixed costs are avoidable.

To calculate the impact on income, we subtract the avoidable costs from the loss reported by the division:

Impact on income = Loss - Avoidable costs

Impact on income = $205,000 - ($1,295,000 + $119,000)

Impact on income = $205,000 - $1,414,000

Impact on income = -$1,209,000

The negative sign indicates a decrease in income.

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the total area of the two triangles as shwon in the image is 70 in²

Area can be defined as the total portion occuppied by a plane fiqure.

To calculate the total area of the two triangles, we use the formula below.

Formula:

Where:

Substitute these values into equation 1

Similarly,

Where:

Substitute these values into equation 2

Therefore, the total area of the two triangles is 40+30 = 70 in².

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Answer:

y=-2x

Step-by-step explanation:

Because, let us take (-1,2)

2=-2(-1)

2=2

Similarly all the points show the same.

Answer:

y=-2x

Step-by-step explanation:

Answer:

x = -2, y = 21

Step-by-step explanation:

Let 4x + y = 13 to be equation1 {eqn1}

and let 5x - y = 5 to be equation2 {eqn2}

Using elimination method, you would try to make sure a particular unknown has the same value in both equation 1 and 2. This would make it easy for you to subtract one equation from the other.

Notice how the value of y is the same in both equations. That's a good sign.

But the signs aren't the same. Meaning y in eqn1 has a value of +1, and y in eqn2 has a value of -1. We need to make them similar.

So, we multiply the value of y in eqn1 by all the terms in eqn2. And, do pretty much the same thing by multiplying the value of y in eqn2 by all the terms in eqn1.

You would have:

-1 * (4x + y = 13)

+1 * (5x - y = 5)

This would result in;

-4x -  y = -13 (eqn3)

5x - y = 5 (eqn4)

So, just subtract eqn3 from 4

You would have;

(5x - -4x) + (-y -- y) = (-13 - 5)

9x + 0 = -18

x = -18/9 = -2

and to find y;

just substitute the value of x into any of the 4 equations. let's try equation 1

Therefore;

4(-2) + y = 13

-8 + y = 13

y = 13 + 8 = 21

Step-by-step explanation:

70 to 85 % of his maximum

Maximum is estimated to be 220 - age  = 220 - 42 = 178

70% of this is 125

85 % is 89  151  

I believe I would go with the third choice  116-160 bpm

Answer:

see the attachment

Step-by-step explanation:

side of which is one foot ...

Top answer · 0 votes

The length of a side of a park is 2400 feetA scale drawing is a smaller image of another ... More

18 votes

Answer:Each side length of the park is 2400 feet.

Answer:

Step-by-step explanation:

L = length    W = width

Length is 1.2 times width ⇒  L = 1.2 x W = 1.2W

Perimeter = 2 x W + 2 x L

                = 2W + 2L = 25

Substitute L = 1.2W into the equation for the perimeter and solve for W

2W + 2L = 25

2W + 2(1.2W) = 25

4.4W = 25

W = 25 ÷ 4.4 = 125/22

Now substitute found value of W into L = 1.2W to find L:

L = 75/11

Answer:

236.25

Step-by-step explanation:

35/100x675=945/4 = 236.25

Step-by-step explanation:

b

(a) To meet the desired 20g protein and 80g carbohydrate intake, prepare 4 servings of Pork & Beans and combine with 15 slices of "lite" rye bread.

(b) Bread: A/4 slices, Beans: B/21 - (A/4) * (12/21) servings.

(a) To prepare a meal of "beans-on-toast" that supplies 20 grams of protein and 80 grams of carbohydrates, you can use the following combination:

- Servings of Campbell's Pork & Beans: 4 servings.

- Slices of "lite" rye bread: 15 slices.

By using 4 servings of Campbell's Pork & Beans, you will obtain a total of 20 grams of protein (5 grams per serving) and 84 grams of carbohydrates (21 grams per serving).

Combining this with 15 slices of "lite" rye bread will contribute an additional 60 grams of carbohydrates (12 grams per slice) and 4 grams of protein (4 grams per slice). Thus, your meal will meet the desired nutritional requirements of 20 grams of protein and 80 grams of carbohydrates.

(b) The formula to determine the number of slices of bread and servings of Pork & Beans needed to meet specific protein and carbohydrate requirements is as follows:

- Number of slices of bread (Bread): A divided by 4.

- Number of servings of Pork & Beans (Beans): (B divided by 21) minus ((A divided by 4) multiplied by (12 divided by 21)).

Using this formula, you can calculate the appropriate quantities of bread and beans based on the desired protein (A) and carbohydrate (B) values.

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Answer:

This is an example of correlation because there is an obvious relationship between the two scenarios

Step-by-step explanation:

This is not cause-and-effect therefore cannot be causation or "cause"

Answer:

17160

Step-by-step explanation:

first there are 13 options

then there are 13 - 1 that was chosen

then there are 13 - 2 that were chosen

then there are 13 - 3 that were chosen

so that's 13 options, then 12 options, then 11 options, and then 10 options

and in order to figure out all of the possibilties we mutiply the options so

13*12*11*10 = 17160

little further explaining of why this works:

we have a set of letters (3 in a set)

A B C

what are the possible combinations?

AB

AC

BC

BA

CA

CB

the answer is 6 which is also 3 * 2 * 1 = 6

HOPE THAT HELPS!1! ^_^

Using the Fundamental Counting Theorem, it is found that there are 28,561 ways in which four cards, each of a different face value, can be chosen.

Fundamental counting theorem:

States that if there are n things, each with \(n_1, n_2, …, n_n\) ways to be done, each thing independent of the other, the number of ways they can be done is:

\(N = n_1 \times n_2 \times \cdots \times n_n\)

In this problem, four cards are chosen, each with 13 ways, hence \(n_1 = n_2 = n_3  = n_4 = 13\), and:

\(T = 13 \times 13 \times 13 \times 13 = 13^4 = 28561\)

There are 28,561 ways in which four cards, each of a different face value, can be chosen.

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Answer:

1.727 x 10^4

Step-by-step explanation:

2.26 x 10^4 = 22 600

5.33 x 10³ = 5330

22 600 - 5330 = 17 270

17 270 = 1.727 x 10^4

Answer:

6( 7 + 8 ) = 90

3( 9 + 1 ) = 30

Step-by-step explanation:

6( 7 + 8 )

(6 x 7 ) + ( 6 x 8 )

42 + 48 = 90

3( 9 + 1 )

(3 x 9 ) + (3 x 1 )

27 + 3 = 30

In algebra, "seven times a number" is written as 7x, which is the multiplication of seven instances of the symbol x.

An equation that includes constants, variables, and a few algebraic operations is said to be algebraic. A good example of an algebraic expression is 3x2 2xy + d. So, three different types of fundamental building blocks make up an algebraic expression: Coefficient (i.e. numbers) (i.e. numbers)

A seven-times-a-number is represented by multiplying it by seven or adding it to another integer (since this is an abbreviated successive addition ).

If x is any number, then it may be written as follows seven times: Algebraic expressions (numbers or letters) are linked by fundamental operations including addition, subtraction, multiplication, and division in mathematical language.

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Complete question -

Seven times a number in algebraic expression

Answer:

$1

Step-by-step explanation:

I assume by 10, you mean 10 dollars so you do $11 - $10 to get your answer of $1. The pen costs $1.

Hope it helps c:

The pen and the notebook together cost 11 dollars and the pen itself cost 0.5 dollars.

A numerical expression is a mathematical statement written in the form of numbers and unknown variables. We can form numerical expressions from statements.

Given, A notebook and a pen together cost 11$.

The notebook costs 10 more than the pen.

Assuming the pen costs x dollars then the notebooks costs (x + 10) dollars.

∴ x + x + 10 = 11.

2x = 1.

x = 1/2.

So, the cost of the pen is 0.5 dollars and the cost of the notebook is 10.5 dollars.

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Answer:

(-6,8) is the answer using substitution method.

Step-by-step explanation:

y= (-1/3)(-6)+6

y= 2+6

y=8, x=-6

=(-6,8)

Answer:

The solution to this system of equations is \((x,y) = (-6, 8)\).

Step-by-step explanation:

Since the number of equations and number of variables is the same, there is only one solution. Let \(y = -\frac{1}{3}\cdot x + 6\) and \(x = -6\), the solution of this system is found by evaluating the first function, that is:

\(y = -\frac{1}{3}\cdot (-6)+6\)

\(y = 2+6\)

\(y = 8\)

The solution to this system of equations is \((x,y) = (-6, 8)\).

KM, JK, PK, and MJ are shown on the diagram.

Then the correct options are B, C, D, and F.

Since, Coordinate geometry is the study of geometry using the points in space. Using this, it is possible to find the distance between the points, the dividing line is m:n ratio, finding the mid-point of the line, etc.

A line segment in mathematics has two different points on it that define its boundaries.

All the line segments will be

JK, JM, KM, MP, PK, and KL

The triangle KPM.

And the angle will be ∠LKJ, ∠PKM. ∠KMP. and ∠MPK.

Then the correct options are B, C, D, and F.

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Answer:

42

Step-by-step explanation:

Rectangle: A = 6 x 5 = 30

Triangle: A = 1/2(6 x 4) = 12

Area of figure: 30 + 12 = 42

Answer:
X-intercepts: -1 and 3

Y-intercepts: 3
Vertex: (1, 4)
Axis of Symmetry: y= -1x + 3x + 4 (I think this is right it might not be and im sorry if it isnt).

Step-by-step explanation: Hope this helps even a little bit <33

Answer:

So, I'll give it my best shot. Here it is factored:

Factor the polynomial.

− ( 64 c ^9  +  72 a b c  −  27 a^ 3  +  863 )

It's the same thing simplified, just without the parentheses.

Step-by-step explanation:

Hope this helps!

have a nice day

Answer:

2

Step-by-step explanation:

Hello, let's note \((a_n)\) this sequence and r the ratio, we can write

\(a_n=a_0r^n\)

With \(a_0\) different from 0 and then

\(a_{11}=32a_6<=>a_or^{11}=32a_0r^6<=>r^{11-6}=32=2^5<=>r^5=2^5<=>r=2\)

Thanks

Answer:

L= 0.6km b= 0.3km

Step-by-step explanation:

L = length b= breadth

L= 2 * b = 2b

he jogged around 3 times to cover 5.4 km

So, jogging around once would be (5.4/3) = 1.8 km which is the perimeter

perimeter of a rectangle is 2(L + b)

since the length is twice the breath, substitute 2b for L in the formula

perimeter = 2(2b + b) = 2(3b) = 6b

perimeter = 6b

1.8 = 6b

divide both sides by 6

b = 0.3km

since L = 2b, them L = 2 * 0.3 = 0.6km.

Answer:

m<S = 80°

Step-by-step explanation:

The figure given shows a cyclic quadrilateral.

Angle S and Angle Q are opposite angles of the cyclic quadrilateral. Thus, it is known that opposite angles of a cyclic quadrilateral are supplementary. Since m<Q = 100°

Therefore:

m<S = 180° - 100°

m<S = 80°

Galaxy distance is 118 mpc.

Given:

Suppose a distant galaxy has a recessional velocity of 8254 km/s. What is its distance given that the hubble constant is 70 km/s/mpc.

According to hubble's law:

v = \(H_0\\\) * D

where

v = velocity = 8254

\(H_0\\\) = hubble constant = 70

D = v/\(H_0\\\)

= 8254/70

= 4127/35

= 117.91

≈ 118 mpc.

Therefore Galaxy distance is 118 mpc.

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