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NikAS [45]
3 years ago
8

What is the y-intercept of this line?​

Mathematics
2 answers:
denpristay [2]3 years ago
5 0

Answer:

y=mx+c or y=mx+b

gradient = rise/run

= 1 ( sloped upwards)

y= (1x)+c

y=x+c

to find c, we have to input values for x and y

take one point from the line on the graph, suppose...

(x,y) :  (-3,2)

2=-3+c

5=c

y=x+5

to solve for y, x will always be 0

y=0+5

y=5

Alex Ar [27]3 years ago
3 0

Answer:

5

Step-by-step explanation:

The Y intercept is where the line crosses the Y axis when X = 0.

(X,Y) -> (0, 5)

The equation of that line looks to be Y = X + 5.

That equation I wrote follows the Y = mx + B format.

The +B is the Y intercept.

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Simplify the following boolean expression (A+B) (A+B)​
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(A + B)(A + B) =

{A}^{2}  + 2AB +  {B}^{2}

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3 years ago
Help Please?
Gemiola [76]

Answer:

1 a = 70%

 b 6.5 times

c  green = 16%

2.  ?????  Very poorly worded question

2. a 54%

b. 46%

c. 70%

d.  27%

Step-by-step explanation:

1. Students in a class were asked to tell their favorite color.

a. What percent said red, blue, or yellow? __% said red, blue, or yellow.  

red is .26

blue is .40

yellow is .04

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

                .70   = 70 %

b. How many times more students said red than yellow?

red  .26

yellow is .04

.26/.04 =  6.5 times


c. What percent of students said green? __% said green.

The circle must total 100 %

Red + blue + yellow + purple + green = 100

26+     40 +     4           + 14     +  green = 100

84 + green = 100

Subtract 84 from each side

84-84 + green = 100-84

green = 16

2. Which two methods could be used to find the percent of students who said green?

We can either convert the percents to decimals or the decimals to percents

The total percents must equal 100%

The total decimal must equal 1

a. Find the sum of the percents given in the circle graph.



If they only want the ones written on the graph as percents

(14+40) = 54%

b. Find the sum of the percent forms of the numbers given in the circle graph. Subtract the result from 100%.

100 - 54% = 46%

c. Find the sum of the decimal forms of the numbers given in the circle graph. Subtract that sum from 1. Change the result to a percent.

.26+.04 = .3

1-.3 = .7

70%

d. Find the sum of half of the percents given in the circle graph. Subtract that total from 50%.

1/2 (46%) = 23%

50 -23 = 27%

5 0
3 years ago
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8 0
3 years ago
John is twice as old as his son. In 42 years, the ratio of their ages will be 4:3. What is the son's current age?
dsp73

Answer: Jhon is 42 years old, and his son is 21 years old.

Step-by-step explanation:

Let's define:

J = John's age

S = Age of the son.

We know that:

"John is twice as old as his son"

J = 2*S

"In 42 years, the ratio of their ages will be 4:3. What is the son's current age?"

In 42, their ages will be:

J + 42 and S + 42.

And the ratio 4:3 means that:

(J + 42) = (4/3)*(S + 42)

Then we have the system of equations:

J = 2*S

(J + 42) = (4/3)*(S + 42)

To solve it we can first replace the first equation into the second one, to get:

(2*S + 42) = (4/3)*(S + 42)

2*S  - (4/3)*S = (4/3)*42 - 42

S*(6/3 - 4/3) = (1/3)*42

S*(2/3) = (1/3)*42

S = (3/2)*(1/3)*42 = 21.

And we can find Jonh's age if we use the first equation:

J = 2*S = 2*21 = 42

Jhon is 42 years old, and his son is 21 years old.

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Answer:

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Step-by-step explanation:

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