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3 years ago

A line had a slope of 2/3 and a y intercept at (0,14).What is the x intercept of the line?

Mathematics

1 answer:

pychu [463]3 years ago

6 0

Answer:

y=2/3x+14

Step-by-step explanation:

The standard form of an equation in slope-intercept form is y=mx+b where m=slope and b=y-intercept.

Given a y-intercept of 14 and a slope of 2/3, we can plug into the variables and get the equation y=2/3x+14

The x-intercept would be when y=0, so plugging in y=0 to the equation gets us:

0=2/3x+14

-14=2/3x

21=x

So the x-intercept is 21

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Nine buses hold 85 people each. If 693 people buy tickets for a trip, how many seats won’t be taken?

Greeley [361]

Answer:

Step-by-step explanation:

you take 85 * 9

85 = # of seats

9 = # of buses

then you get 765

next, you take 765 - 693

765 = # of seats

693 = # people who bought tickets for a trip

finally you get 72

72 = # of empty seats

4 0

2 years ago

A biologist has been observing a tree's height. This type of tree typically grows by 0.22 feet each month. Fifteen months into t

Lyrx [107]

Data:

x: number of months

y: tree's height

Tipical grow: 0.22

Fifteen months into the observation, the tree was 20.5 feet tall: x=15 y=20.5ft (15,20.5)

In this case the slope (m) or rate of change is the tipical grow.

m=0.22

To find the line's slope-intercep equation you use the slope (m) and the given values of x and y (15 , 20.5) in the next formula to find the y-intercept (b):

$\begin{gathered} y=mx+b \\ 20.5=0.22(15)+b \\ 20.5=3.3+b \\ 20.5-3.3=b \\ 17.2=b \end{gathered}$

Use the slope(m) and y-intercept (b) to write the equation:

$\begin{gathered} y=mx+b \\ \\ y=0.22x+17.2 \end{gathered}$ A) This line's slope-intercept equation is: y=0.22x+17.2

B) To find the height of the tree after 29 months you substitute in the equation the x for 29 and evaluate to find the y:

$\begin{gathered} y=0.22(29)+17.2 \\ y=6.38+17.2 \\ \\ y=23.58 \end{gathered}$ Then, after 29 months the tree would be 23.58 feet in height

C) In this case as you have the height and need to find the number of moths you substitute the y for 29.96feet and solve the equation for x, as follow:

$\begin{gathered} 29.96=0.22x+17.2 \\ 29.96-17.2=0.22x \\ 12.76=0.22x \\ \frac{12.76}{0.22}=x \\ \\ 58=x \end{gathered}$ Then, after 58 months the tree would be 29.96feet tall

3 0

1 year ago

URGENT PLS HELP MAX POINTS

bija089 [108]

Answer:

-103

243

Step-by-step explanation:

(q•r)(5) = q(r(5))

r(5) = 2(5²) + 1 = 51

q(51) = -2(51) - 1 = -103

(r•q)(5) = r(q(5))

q(5) = -2(5) - 1 = -11

r(-11) = 2(-11)² + 1 = 243

6 0

3 years ago

Which is the equation of a line with a slope of -1/3 and a Y intercept at (0,1)

Len [333]

Answer:

y = -1/3x + 1

Step-by-step explanation:

substitute the given values in y = mx + b where m is the slope and b is the y-intercept

y = -1/3x + b

at point (0, 1)

1 = -1/3 × 0 + b

1 = 0 + b

b = 1

y = -1/3 + 1

3 0

3 years ago

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Brandon has a garden in his backyard. He picked 66 tomatoes from 6 tomato plants. What is the ratio of tomato plants to tomatoes

Makovka662 [10]

The answer is 1:11. After it being simplified from 6:66. Hope this helps.

4 0

3 years ago

Read 2 more answers

A line had a slope of 2/3 and a y intercept at (0,14).What is the x intercept of the line?​

A line had a slope of 2/3 and a y intercept at (0,14).What is the x intercept of the line?