What is the y-intercept of the equation 4x + 5y = 20?
(0,4)
(0,5)
(4,0)
(5,0)

Answers

Answer 1

Answer:

(0,4)

Step-by-step explanation:

4x+5y=20

5y=20-4x

y=4-4/5x

y-intercept means a point on the y-axis(x=0)

y=4-4/5x

y=4-4/5(0)

y=4

Therefore, y-intercept is at (0,4)


Related Questions

Which system type is a linear system with infinitely many solutions?

A. Consistent dependent
B. Inconsistent
C. Consistent independent
D. Inconsistent dependent

Answers

Answer: C

Step by step explanation-

Answer:

A

Step-by-step explanation:

It is consistent dependent system , since:

inconsistent has no solutions

consistent independent has one solution,

while...

consistent dependent means that two linear functions are merged into a single line, and they always cross, giving an infinite number of solutions to the linear system

i need help with both questions on the screen. if you can only answer one thats fine too!

Answers

Answer:

11. [tex]b = 30[/tex]

Step-by-step explanation:

[tex]a^{2} + b^{2} = c^{2}[/tex]

Substitute

[tex]16^{2} + b^{2} = 34^{2}[/tex]

[tex]256 + b^2 = 1156[/tex]

[tex]b^2 = 1156-256\\b^2 = 900[/tex]

[tex]b = \sqrt{900}[/tex]

[tex]b = 30[/tex]

Your welcome and don't forget to say Thanks

A sprinter travels a distance of 300 m in a time of 28.22 seconds. What is the sprinter's average speed rounded to 4 sf?

Answers

Answer:

[tex]10.6 \: m/s[/tex]

Step-by-step explanation:

Average speed = distance covered divided by the time taken.

[tex]S=\frac{d}{t}[/tex]

[tex]\frac{300}{28.22}[/tex]

[tex]=10.63075[/tex]

Answer:

10.63m/s

Step-by-step explanation:

distance traveled=s=300m

time taken=t=28.22s

average speed=v=?

average speed=[tex]\frac{distance covered}{time taken}[/tex]

average speed=[tex]\frac{300m}{28.22s}[/tex]

average speed=10.63075m/s

now in the question it is said that round to 4 significant figures so will write only first four digits

average speed=10.63m/s

Which property of addition is shown below?
If x = 1 + 2i and y = -1 -2i, then x + y = 0.
commutative property
identity property
associative property
inverse property

Answers

Answer:

Inverse Property

Step-by-step explanation:

This property is inverse property with respect to addition.

E.g.

If x=y and z= -y

Then,

x+z = 0

its basically d on edg :)

A polynomial function has -5+√3t as a root. Which of the following must also be a root of the function? a) -5-√3t b) -5+√3t c) 5-√3t d) 5+√3t

Answers

Answer:

a

Step-by-step explanation:

Radical roots occur as conjugate pairs

Given - 5 + [tex]\sqrt{3}[/tex] t is a root , then

- 5 - [tex]\sqrt{3}[/tex] t is also a root → a

Which equation represents the line that passes through (-6, 7) and (-3, 6)?
y=-3x+9
y=-3x + 5
y=-3x – 11y
y=-3x + 25​

Answers

Answer:

y=-3x+5

Step-by-step explanation:

y²-y¹=gradient

x²-x¹

6-7=gradient

-3+6

-1/3=gradient

y-6/x+3=-1/3

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

y-6=-1/3x-1

y=-1/3x+5

please help me thank you in advance

Answers

Answer:

480

Step-by-step explanation:

The ratio of odd ood is 12/50. Divide 2000 by 500 to get the amount you need to multiply by (40). 12 *40=480

If Tim Cook, CEO of Apple wants to make a list of the employees who are above 40, what process he will use? Option: 1.Data query 2.data sorting 3.data compiling

Answers

The answer is 2 data sorting

What is the surface area of the cube below?
5 m
5 m
5 m
150 m 2
125 m 2
50 m 2
25 m 2

Answers

Answesr:

À

Step-by-step explanation:

A cube has faces of equal measurements so u multiply the area of one face with 6

(5×5)6=150

Answer:

150 m 2

A

Step-by-step explanation:

Prove that the following statements are false provide counter examples to disprove them: (1) If two angles have common vertex and their bisectors create one line, then these angles are vertical. (2) If the angle bisectors of two equal angles belong to the same line, then these angles are vertical.

Answers

Answer:

Examples to disprove them are as follows;

1) Angles of two different inscribed regular polygon in contact at their vertices

2) Angles on the opposite corners of a regular even sided polygon

Step-by-step explanation:

The statement to be disproved can be presented as follows;

1) ∠A and ∠B share a common vertex

2) The bisectors of ∠A and ∠B create one line then

∠A and ∠B are vertical, that is ∠A and ∠B are on the opposite sides of the point where two lines cross or ∠A = ∠B

Given that ∠A = Interior angle of a inscribed square = 90°

∠B = Interior angle of an inscribed equilateral triangle = 60°

Therefore the two circles can be arranged such that the line connecting the centers of both circles, are the bisectors of ∠A and ∠B

However, ∠A ≠ ∠B hence the two angles are not vertical QED

(2) The angles ∠A and ∠B where ∠A = ∠B are on the opposite corners of an even sided regular polygon are equal and their bisectors belong to the same line, however, it can be shown that ∠A and ∠B  are not vertical.

Work this out for meee

Answers

Answer:

87.5cm²

Step-by-step explanation:

area of trapezium = 1/2 (a+b)h

1/2 × (10 + 15) ×7

1/2 × 25 × 7

1/2 × 175 = 87.5

Answer:

87,5 cm²

Step-by-step explanation:

A = (b + B)×h/2

= (10cm + 15cm)×7cm/2

= 25cm×3,5cm

= 87,5 cm²

PLEASE JUST GIVE ME THE VOLUME! THE AREA OF THE SECTION IS 546! PLEASE ANSWER ASAP!!!!!!!

Answers

Answer:

3360

Step-by-step explanation:

By the Pythagorean Theorem, you know that:

[tex]C_1B_1=\sqrt{29^2-20^2}=\sqrt{841-400}=\sqrt{441}=21[/tex]

This means that the area of the triangular base is [tex]\dfrac{21\cdot 20}{2}=210[/tex]. Multiplying this by the height of the pyramid and dividing by 3, you get a volume of 3360. Hope this helps!

equation of a line pass through origin in called

Answers

The equation of a straight line with gradient m passing through the origin is:

[tex]\displaystyle y=mx[/tex]

The line passes through the origin, so the y-intercept is [tex]0[/tex]

[tex]\displaystyle y=mx+b[/tex]

[tex]\displaystyle y=mx+0[/tex]

[tex]\displaystyle y=mx[/tex]

Gus has a checking account balance of $75. His bank will fund the a debit card purchase that creates a negative balance up to a limit of $200, but charges a $35 fee per transaction for any purchase made in overdraft. Gus made a purchase of $100 yesterday, and another purchase of $27 today. He used a debit card for each purchase. Then, he deposited a check for $25. What is Gus' current account balance?

Answers

Answer:

Step-by-step explanation:

Starting off we have this information:

Gus has $75 (g = 75).

He can withdraw up to 200 dollars more than he has.

This is the tricky part: when they say "Made in overdraft" it can mean two things. 1. Any transaction made while already in overdraft, or 2. Any transaction made that puts him into over draft. I will provide answers for both.

Anyway, every time he purchases while in overdraft, he loses another $35.

He spends a total of $127 before overdraft fees.

He then gains $25 dollars.

So, for the first interpretation:

75-100-(27+35)+25 = $-62

For the second interpretation:

75-(100+35)-(27+35)+25 = $-97

Hope this helped.

Find the vertex, focus, directrix, and focal width of the parabola.
x = 4y2

Answers

I Hope this helps you


Semicircle M has a radius of 15 inches. If an ant walks from A to B directly along diameter AB and a beetle
walks from A to B around ACB. how much farther, to the nearest tenth of an inch, does the beetle walk?

(1) 17.1
(2) 32.1
(3) 64.2
(4) 79.2​

Answers

Answer:

A,17.1 in

Step-by-step explanation:

circumference of sphere=2πr

Beetle walks=πr=π×15=15π=15×3.14≈47.1 in

Ant walks=d=2r=2×15=30

difference=47.1-30=17.1 in

Helllp fast please someone

Answers

Answer: -10

Step-by-step explanation:

-4 - 6 = -10

If you awnser this correctly I will give you more points​

Answers

Answer:

1) 5m-10

Parts, 5m, -10

Operation, Subtraction

Word Expression, 10 less than the product of 5 and m.

Step-by-step explanation:

1) 5m-10

Parts, 5m, -10

Operation, Subtraction

Word Expression, 10 less than the product of 5 and m.

2) 12/2+7

6+7

13

3) 8y-(22)

Terms, 8y, 22

Operation, Subtraction

Word Expression, 22 less than the product of 8 and y.

Answer:

number 2 is 13       and      number 3 is-2.75

Step-by-step explanation:

-2.75

x2+3x-4=0. Find a=, b=, and c=. thank you:)​

Answers

Answer:

a=1 b=3 c=-4

Step-by-step explanation:

using almighty formular

a=1 b=3 c= - 4

Someone help me ASAP please

Answers

Answer:

Step-by-step explanation:

use a^2+b^2=c^2.

5^2+7^2=c^2

25+49=c^2

sqrt74= 8.6 so side c is about 8 units

Answer:

C. about 8 units

Step-by-step explanation:

correct answer is c

The area of a parallelogram is 12 ftsquared and the height is 3 ft. Find the length of the corresponding base.

Answers

______________________________

Hey!!

Solution,

Area= 12 ft^2

height= 3 ft

Now,

Area=b*h

or, 12=b*3

or,b=12/3

b=4 ft.

The value of base is 4 ft.

hope it helps

____________________________

Find the area of the figure in the picture please!!!

Answers

Answer:

365cm^2

Step-by-step explanation:

Answer:

365cm ^2

I think

Give the domain and range.

Answers

Answer:

D

Step-by-step explanation:

The domain is the x coordinates which are {-2,0,2}

Answer:

D = { -2, 0 2}

R = { -3,-1 ,1 }

Step-by-step explanation:

The domain is the input or x values

D = { -2, 0 2}

The range is the output or y values

R = { -3,-1 ,1 }

Which is the graph of 3x – 4y = 6?

Answers

Answer:

D

Step-by-step explanation:

3x-4y=6

-4y=-3x+6

y=(3/4)x-(3/2)

positive slope with y-intercept at -3/2 corresponds to D

Graph includes the points (0,-3/2) and (2,0). Therefore, option D is the correct answer.

What is the graph?

Graph is a mathematical representation of a network and it describes the relationship between lines and points. A graph consists of some points and lines between them. The length of the lines and position of the points do not matter.

The given linear equation is 3x-4y=6

Graph the line using the slope and y-intercept, or two points.

Slope: 3/4

y-intercept:

(0,-3/2)

Plot the points (0,-3/2) and (2,0)

Therefore, option D is the correct answer.

To learn more about the graph visit:

brainly.com/question/14375099.

#SPJ2

We could evaluate the expression 2(20+7) + 3(50+2) using the traditional order of operations, or we could use the distributive property. Do you think it would be more efficient to evaluate using the distributive property, or is it more efficient to use order of operations? Explain your answer.

Answers

Answer:

It is more efficient to use order of operations because with the distributive property, you would have to multiply four times and add once (5 things to do), whereas with order of operations, you have to add twice and multiply twice (4 things to do).

Step-by-step explanation:

Helllp!
How many lines of symmetry does a regular heptagon have? Explain your answer!

Answers

Answer:

7

Step-by-step explanation:

Regular polygons have the same number of lines of symmetry as they do sides

Answer:

7 lines of symmetry

Step-by-step explanation:

If you draw a line from every intersection of the shape, you can get seven lines going through, which makes seven lines.

Walter pays $2.53 to ship a package that weighs 5.5 ounces. Which is the cost to ship 1 ounce?

Answers

__________________________________

Solution,

Cost of 5.5 ounces =$ 2.53

Cost of 1 ounce= 2.53/5.5

=$0.46

So the answer is $ 0.46

Hope it helps

Good luck on your assignment

_________________________________

At what distance did Maria and James run the same amount of time

Answers

The distance was 5MPH

What is the relationship between the diameter and the circumference of a circle?
A. Diameter is about 2x the circumference.
B. Circumference is about 2x the diameter.*** My choice.
C. Diameter is about 3x the circumference
D. Circumference is about 3x the diameter.

Answers

Answer:

Thje answer is D.

Step-by-step explanation:

The circumference is always 22/7 times longer (about 3.14)

Meg and Kevin wanted to solve this problem: In 6 hours, Hank the Hiker hiked 24 miles. At that rate, how far can he hike in 9 hours? Meg claimed she could solve the problem by finding Hank’s unit rate of speed in miles per hour. She began by writing the equation: . Explain whether or not she can find the unit rate this way. Then find the unit rate and use it to solve the problem. Show all your work.

Answers

Answer: Hank hike 36 miles in 9 h.

6 hours for 24 miles

9 hours for x miles

[tex]Hank_{rate} =24/6=4\;mi/h[/tex]

[tex]x = Hank_{rate}\times Hours=4\;\frac{mi}{h} \times 9\;mi=36 \;miles[/tex]

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