Draw Conclusions Suppose that A and C are real numbers and A is not 0. What are the x- and y-intercepts of the equation Ay = C? Explain.

Answers

Answer 1

Answer:

Horizontal line which goes through the y -axis at the coordinate ( 0, C/A ).

Step-by-step explanation:

Since A is not 0 then C can not be 0 This is a logical deduction from the given formula Ay = C

The equation of any line is y = ax + b, where a is the incline and b is the intercept between the line and the y- axis.

Ay = C

Divide left and right of the = sign by A and you get:

y = C/A

This is the formula for a horizontal line which goes through the y -axis at the coordinate ( 0, C/A ).

Because it is a horizontal line it has an incline of 0.

So a = 0

y = ax + b

a = 0 and b = C/A

y = 0*x + C/A

y = 0 + C/A

y = C/A


Related Questions

can someone help with this ASAP

Answers

Answer:

105 degrees

Step-by-step explanation:

Answer: Angle BDC is 105°

Explanation: This line is called a supplementary angle. Which means it will always equal 180°.

180-75=105

I hope this helped you!

Dan needs to get to Austin as fast as possible. The train leaves at 3:00 PM and can travel 60 Miles per hour. If Austin is 65 Miles away, How long will it take Dan to get there?

Answers

1 hour and 8 minutes

Simplify -4l-5l - [2(-17)]
A. 14
B. 54
C. -14

Answers

Answer:

14

Step-by-step explanation:

-4 |-5| = -20

-2(-17) = 34

34-20 = 14

Help someone please !!!!!!!!!!!!!!!!!!!!!!! The temperature one winter morning is -12 degrees fahrenheit,by noon,the temperatures rises by 5 degrees,and by 4p.m,the temperatures is 0 degrees. By how many degrees does the temperatures rise between noon and 4p.m., in degrees fahrenheit?? ​

Answers

Answer:

The temperature rises 7 degrees between noon and 4pm.

Step-by-step explanation:

First, you add 5 to the -12. This gets you to the answer of 7. Then, since the temp. rises to 0 degrees by 4, you know that the difference between noon and 4 pm is 7 degrees.

Does the point (2, 0) satisfy the equation y = x?

Answers

Answer:

no

Step-by-step explanation:

y = x

Substitute the point into the equation

0=2

This is not true so the point is not a solution

Hey there! I'm happy to help!

The point (2,0) does not satisfy the equation y=x. That means that x and y have to be equal. 2 and 0 are not equal. A point like (4,4) would satisfy that.

Have a wonderful day! :D

what is significance of the generally lower rate at which people save for retirement

Answers

Answer: 25 or 30-60

Step-by-step explanation:

Vote me for branliest Have a great day or night everyone!!!

Which parallelogram has an area of 60 square units?

Answers

Answer:

The answer is B

Step-by-step explanation:

Multiply base•height

Finding the area of each parallelogram, applying the formula, it is found that the parallelogram D has an area of 60 square units.

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

Similarly to a rectangle, the area of a parallelogram is given by height multiplied by base, that is:

[tex]A = hb[/tex]

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

In item A, the height is of 15 units and the base is of 10 units, thus, the area, in square units, is of [tex]15 \times 10 = 150[/tex].In item B, the height is of 6 units and the base is of 10.2 units, thus, the area, in square units, is of [tex]6 \times 10.2 = 61.2[/tex].In item C, the height is of 15 units and the base is of 15 units, thus, the area, in square units, is of [tex]15 \times 15 = 225[/tex].In item D, the height is of 10 units and the base is of 6 units, thus, the area, in square units, is of [tex]10 \times 6 = 60[/tex], which means that this is the correct option.

A similar problem is given at https://brainly.com/question/14099239

HELPP!!! 10 POINTS OFFERED

Answers

Answer:

Option 1

Step-by-step explanation:

look at the graph in bot cases y still positive in the upper part of the graph

only x moves from the right side to left side of the graph

Take one point A (2,2) to A'(-2,2)

from 2 to -2 (x-4=2-4=-2)

from 2 to 2 ( y still the same)

The perimeter of a rectangular tabletop is 384 cm. It's width is 3/5 of its length. Find the dimensions of the tabletop

Answers

Answer:

Length: 120cm, Width: 72cm

Step-by-step explanation:

Let x = length

Let 3x/5 = width

2x+2(3x/5)=384

2x+(6x/5)=384

16x/5=384

16x=1920

x=120cm

Substitute 120 for x in width

360/5 = width

width = 72cm

18=5a-2a+3
answer this pleaseee

Answers

Answer:

a=5

Step-by-step explanation:

18=5a-2a+3

Combine like terms

18 = 3a +3

Subtract 3 from each side

18-3 = 3a+3-3

15 = 3a

Divide by 3

15/3 =3a/3

5 =a

What is the answer to -4.05 x 2

Answers

Answer:

-8.1

Step-by-step explanation:

1

-4.05

x. 2

---------

-8.1

Identify the percent of change as an increase or decrease.
Original: 70
New: 60
Increase? Or
Decrease?

Answers

Answer:

Decrease

Step-by-step explanation:

Number has gone down, therefore it's a decrease.

Decrease by 10 percent

A student is given a quadratic equation in vertex form. He determines the vertex and axis of symmetry, and then sketches the parabola so that it is symmetrical about the axis of symmetry. Is this sufficient? Explain.

Answers

Answer:

The information with which the parabola is constructed is insufficient

Step-by-step explanation:

The vertex form of a quadratic equation is given as follows;

f(x) = a(x - h)² + k

The steps to draw the graph of a quadratic function given in vertex form, we are required to do the following;

1) Definition of the variables, (a, h and k) of the quadratic equation (given in vertex form)

The vertex of the quadratic equation in vertex form is (h, k)

2) Given that the vertex point is given, the vertex point is then plotted on the graph

3) Draw the parabola axis of symmetry that passes through the vertex point

4) Determine the direction to which the parabola opens from the sign of the variable a as follows;

i) When a is positive, the parabola opens upwards

ii) When a is negative, the parabola opens downwards

5) Determine if the parabola has x-intercepts and plot them

A parabola has x intercepts when;

i) The parabola opens downwards, that is, the variable, a, is negative and also the vertex (h, k) is above the x-axis or k is positive

ii) The parabola opens upwards, that is, the variable, a, is positive and also the vertex (h, k) is below the x-axis or k is negative

6)  Determine y-intercepts and plot them as follows;

At the y-intercept, x = 0, therefore;

f(x) = a(x - h)² + k

f(0) = a(0 - h)² + k = a·h² + k

6) If any additional points are required, they should plotted and then the graph of the function is then drawn making sure to be symmetrical about the vertex and to pass through all the plotted points.

Point F is the midpoint of segment DE. DF = 2x+6 and DE = 2x+36. Find DE.

Answers

Answer: It already tells you what DE= 60

Step-by-step explanation:

Since F is the midpoint of DE that means DF=FE

So create equation [tex]2x+6+2x+6=4x+12[/tex]

When DF and FE is added your answer should equal DE

So you write the equation [tex]4x+12=2x+36[/tex] to find x and once x is found substitute your answer for x

[tex]4x+12(-12)=2x+36(-12)[/tex] subtract 12 on both sides 36-12= 24

[tex]4x=2x+24[/tex] subtract 2x on both sides 4x-2x=2x

[tex]2x=24[/tex] divide 2 into both sides 24/2=12 x=12

[tex]4(12)+12=2(12)+36[/tex]  

4x12=48+12=60   2x12=24+36=60

When p2 – 4p is subtracted from p2 + p – 6, the result is . To get p – 9, subtract from this result.

Answers

Answer:

When p2 – 4p is subtracted from p2 + p – 6, the result is:

p2+p-6-(p2-4p)=p2+p-6-p2+4p=5p-6

To get p – 9, subtract from this result x:

5p-6-x=p-9

Solving for x:

5p-6-x+x-p+9=p-9+x-p+9

4p+3=x

x=4p+3

Answer:

1) When p2 – 4p is subtracted from p2 + p – 6, the result is 5p-6

2) To get p – 9, subtract from this result 4p+3

Step-by-step explanation:

Answer:

PLATO

Step-by-step explanation:

The midpoint of PQ is M(1, 4). One endpoint is P(2, 8). Find the coordinates of the other endpoint Q. Write the coordinates as decimals or integers.

Answers

Answer:

Step-by-step explanation:

(x+2)/2 = 1

x + 2 = 2

x = 0

(y + 8)/2 = 4

y + 8 = 8

y = 0

(0, 0)

y – 3 = 2(x + 1)

Help...

Answers

Answer: x=y-3/2-1

Or

Answer: y=2(x+1)+3

Depending on which one you are trying to find.

How do I determine the 50th term for the sequence
-5, -1, 3, 7, 11

Answers

The sequence is going up by 4 so u have to multiply each term by four and the -5 is it’s 0th term as well it’s beginning so you have to input that in the equation as well
4(50) - 5 = 200 - 5 = 195
I’m not very good at explaining so I hope u get it

solve the system
4x + 2y = 10
x = y + 13

Answers

Answer:

[tex]x = 6[/tex]

[tex]y = -7[/tex]

Step-by-step explanation:

We have the system of equations:

[tex]4x+2y=10\\x=y+13[/tex]

Let's solve by substituting. We know that [tex]x=y+13[/tex], so we can substitute [tex]y+13[/tex] in as [tex]x[/tex] in the equation [tex]4x+2y=10[/tex].

[tex]4(y+13) + 2y = 10[/tex]

Simplify this down so that we have [tex]y[/tex] on one side of the equation:

[tex]4y + 52 + 2y = 10\\\\6y + 52 = 10\\\\6y = -42\\\\y = -7[/tex]

Now that we know the value of [tex]y[/tex], we can substitute it in to the equation [tex]x = y+13[/tex] to find [tex]x[/tex].

[tex]x = -7+13\\\\x = 6[/tex]

Hope this helped!

Answer:  (6,-7)

Step-by-step explanation:

4x +2y = 10  

x = y + 13      Substitute the value of x into the first equation to solve for y.

4(y + 13) +2y = 10   apply the distributive property on the left side

4y + 52 + 2y = 10   Combine like terms on the left side

6y + 52 =  10    Subtract  52 from both sides

       -52     -52

6y = -42  

y= -7  

The value of y so input it into one of the equations to solve for x

4x + 2(-7) = 10  

4x - 14  =  10

       +14    +14

4x = 24

x= 6

If anyone can help it would be greatly appreciated. I will give you 20 extra points for free! Or venmo you $10 :)

Answers

Answer:

15) 1/3

18) 1/2

21) 25/26

Step-by-step explanation:

15) 2/6=1/3

18) 3/6=1/2

21) 25/26

I need help with this question

Answers

Answer:

10 dollars a month

Step-by-step explanation:

3 between 5 equal 10 dollars

Evaluate 3 - 24 + 8 + 42.
A.0
B.2
C.16
D.24

Answers

i got 29 i think i’m just dumb this is why i have this app

3 - 24 + 8 + 42

= (3 - 24) + 8 + 42

= (-21 + 8) + 42

= -13 + 42

= 29

What is the demical equivalent to the rational number 1/8

Answers

Answer:

the decimal equivalent is 0.125

Answer:0.8

Step-by-step explanation:take it and decimmalize it

What are the vertex and x-intercepts of the graph of the function given below?
y = x2 - 2x-35
A. Vertex: (1, -36); intercepts: x = 7,-5
B. Vertex: (0,0); intercepts: x= -4,-5
C. Vertex: (7,5); intercepts: x = 7,8
D. Vertex: (1, -25); intercepts: x = 6,-4

Answers

Answer:the answer is A

Step-by-step explanation:

The vertex and x-intercepts of the graph of the function y = x²- 2x-35 is (1, -36) and intercepts: x = 7,-5, option A is correct.

What is quadratic equation?

A quadratic equation is a second-order polynomial equation in a single variable x , ax²+bx+c=0. with a ≠ 0 .

The x-coordinate of the vertex can be found using the formula x = -b/2a, where a and b are the coefficients of the x² and x terms, respectively. In this case, a = 1 and b = -2, so x = -(-2)/(2×1) = 1.

Lets find the y-coordinate of the vertex.

To find the y-coordinate of the vertex, we substitute the x-coordinate we found in step 1 into the equation and evaluate.

y = (1)² - 2(1) - 35 = -36

So the vertex is at (1, -36).

Now find the x-intercepts.

To find the x-intercepts, we set y = 0 and solve for x.

0 = x² - 2x - 35

This equation can be factored as (x - 7)(x + 5) = 0.

So the x-intercepts are at x = 7 and x = -5.

Therefore,  the vertex and x-intercepts of the graph of the function y = x²- 2x-35 is (1, -36) and intercepts: x = 7,-5, option A is correct.

To learn more on Quadratic equation click:

https://brainly.com/question/17177510

#SPJ7

how do i solve 9 - 2x = 15 *EXTRA POINTS

Answers

Answer:

[tex]x=-3[/tex]

Step-by-step explanation:

[tex]9-2x=15[/tex]

Subtract 9 from both sides:

[tex]9-2x-9=15-9[/tex]

[tex]-2x=6[/tex]

Divide both sides by -2:

[tex]\frac{-2x}{-2}=\frac{6}{-2}[/tex]

[tex]x=-3[/tex]

Name a equivalent ratio for 2/4 with denominator 24

Answers

Answer:

12

Step-by-step explanation:

Answer:

12/24

Step-by-step explanation:

find the perimeter and area of this figure.

Answers

Hey there! I'm happy to help!

AREA

To find the area of a parallelogram, you multiply the base by the height.

12(6)=72

The area is 72 square centimeters.

PERIMETER

The two diagonal sides are 8 cm and the two bases are 12 cm.

8+8+12+12=40

The perimeter is 40 cm.

Have a wonderful day! :D

a thirty-year-old woman decides to pay $390 for one year life insurance policy with coverage of 150000. the probability of her living through the year is 0.9976. what is her expected value for the insurance policy ​

Answers

Answer:

5

Step-by-step explanation:

The expected value is −390(0.9976) + (150,000 − 390)( 1 − 0.9976) = −$30

-$30. This was the right answer on Brainly.

A 3-column table with 4 rows. The first column is labeled Currency and entries Canadian dollar, Euro, Japanese yen, Indian rupee. The second column is labeled U S D/1 Unit and entries 0.97071, 1.35261, 0.01007, 0.01594. The third column is labeled Units/1 U S D and entries 1.03069, 0.73935, 99.90487, 62.72053. Which expression can be used to convert 100 USD to Japanese yen?

Answers

Answer:

A

Step-by-step explanation:

Answer:

A

Step-by-step explanation:) edge 2023

If HJ = 7x-27, find the value of x.​

Answers

Answer:

9 over 2

Step-by-step explanation:

9 over 2 in fraction

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