Consider the system of equations in standard form. x + 4y = 26, 3x – 4y = 30 What is the best window range for the x-values to determine the solution? What is the best window range for the y-values to determine the solution? What is the exact solution to the system of equations?

Answers

Answer 1

Answer:  x + 4y = 26 Slope = -0.500/2.000 = -0.250

 x-intercept = 26/1 = 26.00000

 y-intercept = 26/4 = 13/2 = 6.50000

Step-by-step explanation: x + 4y = 26

Slope is defined as the change in y divided by the change in x. We note that for x=0, the value of y is 6.500 and for x=2.000, the value of y is 6.000. So, for a change of 2.000 in x (The change in x is sometimes referred to as "RUN") we get a change of 6.000 - 6.500 = -0.500 in y. (The change in y is sometimes referred to as "RISE" and the Slope is m = RISE / RUN)

   Slope     = -0.500/2.000 = -0.250

"y=mx+b" is the formula of a straight line drawn on Cartesian coordinate system in which "y" is the vertical axis and "x" the horizontal axis.

In this formula :

y tells us how far up the line goes

x tells us how far along

m is the Slope or Gradient i.e. how steep the line is

b is the Y-intercept i.e. where the line crosses the Y axis

The X and Y intercepts and the Slope are called the line properties. We shall now graph the line  x+4y-26  = 0 and calculate its properties

Notice that when x = 0 the value of y is 13/2 so this line "cuts" the y axis at y= 6.50000

 y-intercept = 26/4 = 13/2  =  6.50000

When y = 0 the value of x is 26/1 Our line therefore "cuts" the x axis at x=26.00000

 x-intercept = 26/1  = 26.00000

3x – 4y = 30 Slope = 1.500/2.000 = 0.750

 x-intercept = 30/3 = 10

 y-intercept = 30/-4 = 15/-2 = -7.50000

Notice that when x = 0 the value of y is 15/-2 so this line "cuts" the y axis at y=-7.50000

 y-intercept = 30/-4 = 15/-2  = -7.50000

y = 0 the value of x is 10/1 Our line therefore "cuts" the x axis at x=10.00000

 x-intercept = 30/3  =  10

Answer 2

Answer:

What is the best window range for the x-values to determine the solution?

x-min=-10, x-max = 15

What is the best window range for the y-values to determine the solution?

y-min= 0, y-max = 5

What is the exact solution to the system of equations?

(14, 3)


Related Questions

b)
2x-5=2(x-1)
Ayuda

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La respuesta es x=2/3 espero que esto ayude :))

PLEASE PLEASE HELP 5 MINUTES HELPP HELPP WILL MARK BRAINLIEST!!!!!​

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Answer:

Step-by-step explanation:

I & III look good

For the percent 58%, (a) write a decimal and (b) write a fraction in lowest terms. ​

Answers

Answer:

A) 0.58

B)  58/100

Step-by-step explanation:

Can i have brainliest if its right :)

how to get 20 dollars by using 25 cents?

please work it out on paper​

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Answer:

below if you cant read it, it takes 80 quarters

Step-by-step explanation:

help i need to pass:/

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Answer:

biologists have a 14ft john boat with trolling motor for sale or trade for hipnopotomus

Answer:

false

Step-by-step explanation:

An animal shelter has $2500 in its reserve fund. The shelter charges $40 per animal placement and would like to have at least $4000 in its reserve fund. Write an inequality to represent this situation.

Answers

Answer:

if you search the Question up the fist thing to pop up should say Gr7_Math_Revision_T2. on the 7th page your answer, I think. is there

Step-by-step explanation:

Step 1

Write and solve the inequality:

2,500 + 40a ≥ 4,000, or 40a ≥ 1,500

a ≥ 37.5

Step 2

If the shelter places 30 cats and 10 dogs,

or 40 animals, that will be enough to meet

its goal, because a = 40 is a solution to the

inequality a ≥ 37.5.

A circle has a diameter of 18 inches. If 1 inch is approximately 2.5 centimeters, what is the diameter in centimeters?

Answers

Answer:

45

Step-by-step explanation:

A plant is already 15.00 meters tall, and it will grow 9 centimeters every month. The plant's height, H (In meters), after x months is given by the following
function.
H(x) = 15.00 +0.09x
What is the plant's height after 30 months

Answers

Answer:

17.7 meters

Step-by-step explanation:

x = 30

15 + 0.09*30

0.09*30 = 2.7

2.7 + 15 = 17.7 meters

Please help I am so confused!

Answers

Answer:

D

Step-by-step explanation:

If you match what the numbers say you will see the answer is D

Larry spends a total of 45 minutes running. He begins at a pace of 8 miles per hour and then reduces his speed to 5 miles per hour. Let t represent the number of minutes Larry spent running at the faster pace. Larry models his distance with the expression 8t+5(45−t) to model the situation. Did Larry correctly model the situation

Answers

Answer:

Yes, he did

Step-by-step explanation:

We have that:.

Total time = 45

At time t, he moves at 8mph.

This gives: 8t

The time left is: 45 - t and he moves at 5mph, this gives 5(45 - t).

Hence, the total is

8t + 5(45 - t)

By comparison, we can conclude that Larry modeled the situation correctly.

Which value of x makes the equation ,3 plus 0.75 ( x minus 2) equals 0.5 ( x + 20 ), true


Someone help fast for the bois??

Answers

Answer:

34

Step-by-step explanation:

3+0.75(x-2)=0.5(x+20)

3+0.75 x-1.5=0.5 x+10

1.5+0.75x=0.5 x+10

0.75x+0.5x=10-1.5

0.25x= 8.5

0.25/25, 8.5/0.25

x=34

How can you graphically tell if a quadratic equation will have a complex solution?

Answers

Answer:

If it does not cross the x axis.

Step-by-step explanation:

If the quadratic equation does not cross the x axis (or more specifically, if the quadratic is an upward opening parabola and the vertex is above the x axis, or if the quadratic is a downward opening parabola and the vertex is below the x axis), it will have no real solution

The fundamental theorem of algebra says that quadratics must have 2 solutions, so the solutions must be imaginary.

if the equation doesn’t cross the X-axis

Tran planned a rectangular pool and made a scale drawing using centimeters as the unit of measerment he oringinaly planned for the lenth of the pool to be 40m but decided to change to 32 m if the lenth of the pool in his scsale drawing is 8 centimeters which statement about the change of scale is true

Answers

Answer:

The question is not complete, fortunately, I found a match:

Tran planned a rectangular pool and made a scale drawing using centimeters as the unit of measurement. he originally planned for the length of the pool to be 40 m but decided to change it to 32 m. if the length of the pool in his scale drawing is 8 cm, which statement about the change of scale is true?

one cm represented 5 m in the first scale, but now 1 cm represents 4 m in the second scale.

one cm represented 40 m in the first scale, but now 1 cm represents 32 m in the second scale.

one cm represented 1 m in the first scale, but now 1 cm represents 5 ft in the second scale.

one cm represented 4 m in the first scale, but now 1 cm represents 5 m in the second scale.

answer:

one cm represented 5 m in the first scale, but now 1 cm represents 4 m in the second scale.

Step-by-step explanation:

To calculate the scaling factor, we will divide the actual figure by the figure in the scale.

Before the change: 8cm in the drawing represents 40m

8cm ≡ 40m

∴ 1cm ≡ 40 ÷ 8 = 5m

∴ 1 cm represents 5m

After the change: 8cm in the drawing represents 32m

8cm ≡ 32m

∴ 1cm ≡ 32 ÷ 8 = 4

∴ 1cm represents 4m

Therefore, one cm represented 5 m in the first scale, but now 1 cm represents 4 m in the second scale.

Answer:

It’s the first choice

Step-by-step explanation:

Find the area of this quadrilateral.

Answers

I think the area is 24

Given f(x)=3x2+7 and g(x)=5x-4 solve f(5) btw in the problem the 2 is on top of the X

Answers

Answer:

f(5) = 82

Step-by-step explanation:

To evaluate f(5) substitute x = 5 into f(x) , that is

f(5) = 3(5)² + 7 = 3(25) + 7 = 75 + 7 = 82

What’s 17/5 as a decimal?

Answers

It’s 3.4 because all your doing is dividing 17 into 5

15-2
6. What is the value of the expression "eight more than three times the difference of four and a number' when
n = 3? (LEVEL 4)

Answers

Answer:

11

Step-by-step explanation:

3(4-n)+8

n=3 so

3(4-3)+8

3(1)+8

3+8

11

EMERGENCY! Please give me the correct answer!​

Answers

Answer: 10^4 · 4^5

Since 4^10 and 4^5 have the same base, and it's division, you can subtract the exponents.

(10^4 · 4^10)/4^5 = 10^4 · 4^(10-5) = 10^4 · 4^5

Hannah is making cookies. Each batch of cookies uses 3/4 lbs of butter. She is going to make 5 batches. How much butter will she need?

Answers

Answer:3/4*5=3 3/5

Step-by-step explanation:

solve for x, 3x + 5 > 88

Answers

Answer:

x > 83 / 3

Step-by-step explanation:

Let's solve your inequality step-by-step.

3x+5>88

Step 1: Subtract 5 from both sides.

3x+5−5>88−5

3x>83

Step 2: Divide both sides by 3.

3x/3 > 83/3

x > 83/3

How many solutions does this system of equations have?

Answers

one i think, the point where they intersect

Answer:

1 solution

Step-by-step explanation:

A solution to a system of linear equations is where the two lines meet. In this case, the system only intercepts each other once, therefore it only has 1 solution.

can someone help me with this
2x+4y+3z=6
x-2y+z=-5
-x-3y-2z=-7
solve for x,y,z

Answers

Answer:

x = -7 2/3, y = 1 1/3 and z = 5 1/3.

Step-by-step explanation:

2x+4y+3z=6    .....  1

x-2y+z=-5        ...... 2

-x-3y-2z=-7      .......3

Add equations 2 and 3 to eliminate x:

-5y - z = -12   .....4

Multiply equation 2 by - 2:

-2x + 4y  - 2z = 10

Add this to equation 1:

8y + z = 16   ........ 5

Now add equation 4 to equation 5:

3y = 4

y = 4/3 = 1 1/3.

Now find z by substituting for y in equation 4:

-5(4/3) - z = -12

z = 12 - 20/3

z = 36/3 - 20/3 = 16/3 = 5 1/3.

Finally, we find x by substituting for y and z in equation 1:

2x + 4*4/3 + 3*16/3 = 6

2x = 6 - 16/3 - 16

2x =  18/3 - 16/3 - 48/3 = -46/3

x = 23/3 =  7 2/3.

Can someone please help me ?

Answers

Answer:

The answer is C because 40% of 1450 is 580.

The table below shows the number of miles four cars can travel on a given amount of gasoline.

Car Mileage

Number of miles traveled
Number of gallons used
Car 1
528
22
Car 2
486
18
Car 3
475
19
Car 4
546
21

Which list shows the cars in order from least miles per gallon to greatest miles per gallon?
HURRY I NEED IT
FIRST RESPONCE GETS BRAINLIEST

Answers

Answer:

the person above me was correct

Step-by-step explanation:

btw it was c

Answer: C

Step-by-step explanation: I took the quiz yesterday

Five times the greater of two consecutive even
integers is 14 greater than three times the lesser
number. What is the greater number?

Answers

Two consecutive even integers:
X, x + 2

5(x+2) = 14 + 3x
5x + 10 = 14 + 3x
2x = 4
X = 2

Greatest is 4

-1/2x+2=-x+7 i need to know

Answers

[tex] = \frac{ - 1}{ \: \: 2} x + 2 = x + 7[/tex]

[tex] = \frac{ - 1}{ \: \: \: 2} x + 2 - x = 7[/tex]

[tex] = \frac{ - 3}{ \: \: \: 2}x + 2 = 7[/tex]

[tex] = \frac{ - 3}{ \: \ \: 2}x = 7 - 2 [/tex]

[tex] = \frac{ - 3}{ \: \: \: 2} x = 5[/tex]

[tex] x = 5 \: \div \frac{ - 3}{ \: \: \: 2} [/tex]

[tex]x = 5 \times \frac{ \: \: \: 2}{ - 3} [/tex]

[tex]x = \frac{ - 10}{ \: \: \: 3} [/tex]

[tex]∴ \frac{ - 1}{ \: \: \: 2} \times \frac{ - 10}{ \: \: \: 3} = \frac{ - 10}{ \: \: \: 3} + 7

[/tex]

Pls help ASAP for BRAINLIEST

Answers

Answer:

-5

Step-by-step explanation:

h(-2)=3(-2)+1

= -6+1

= -5

hope this help you!! :))))))

Watermelons are on sale at the grocery store. They cost $6
for 2 watermelons. How many watermelons could you buy
for $21?

Answers

Answer:

7

Step-by-step explanation:

Answer:10 watermelons

Step-by-step explanation:

1. Five times a number minus 4 is 6.

Answers

n = a number
5n - 4 = 6

Please help!!
Simplify the expression:
1) (m^2m^3)^4
2) (x^4x)^2

Answers

Hello! I hope i’m correct!! :)

Answer:

1) 20^m

2) x^10

Step-by-step explanation:

[tex](m^{2+3})^{4}[/tex]

[tex](m^{5})^{4}[/tex]

[tex]=[/tex][tex]m^{20}[/tex]

First expression: m^20

______________________________

[tex](x^{5} )^{2}[/tex]

[tex]=x^{10}[/tex]

Second expression: x^10

Hope this helps! If you have any questions about this, feel free to ask! Have a wonderful day! ⭐️

(Sorry if this is incorrect!)

~By, BrainlyAnime~ <3

Answer:

1) 20^m

2) x^10

Step-by-step explanation:

1. Reformatting the input:

Changes made to your input should not affect the solution:

( 1 ) : "m3"  was replaced by "m^3".

m^5 raised to the 4th power = m^( 5 * 4 ) = m^20

_________________________________________________

2.  

x^5 raised to the 2nd power = x^( 5 * 2 ) = x^10

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