All categories

4 years ago

(-4,0)slope=1/2 write equation of the line

Mathematics

1 answer:

N76 [4]4 years ago

3 0

Answer:

Y = 1/2x+2

Step-by-step explanation:

The slope intercept form of a line is

y = mx+b where m is the slope and b is the y intercept

We know the slope

y = 1/2x +b

Substitute the point into the equation

0 = 1/2 (-4) +b

0 = -2+b

b=2

Y = 1/2x+2

You might be interested in

Find the z-scores that bound the middle 74% of the area under the standard normal curve.

aniked [119]

Since 74% of the middle area is bounded, this means that there is 13% on the left side, and another 13% on the right side.

P (left) = 0.13

P (right ) = 1 - 0.13 = 0.87

At this P values, the z scores are approximately:

z score (left) = -2.22

<span>z score (right) = 1.13</span>

5 0

3 years ago

A person drove 30 miles per hour on a trip. If he had driven 45 miles per hour, he would have arrived 4 hours earlier. What was

Step2247 [10]

Answer:D= 60miles

Step-by-step explanation:

Speed=distance/time

Distance = speed× time

D=(45-30)× 4

D= 15×4

D= 60miles

6 0

3 years ago

Read 2 more answers

Which of the following correctly simplifies the expression 3 to the power of 2 multiplied by 5 to the power of 0 whole over 4, t

EastWind [94]

Answer: 21

Step-by-step explanation:

9 + 10 = 21

3 0

4 years ago

I need help what’s the answer to this Y = x + 1

UkoKoshka [18]

Answer: well, the answer can really be any two numbers, as long as y is one more than x. EXAMPLE: 16 = 15 + 1, 7 = 6 + 1, -54 = -55 + 1, etc

8 0

2 years ago

Lia must work at least 5 hours per week in her family’s restaurant for $8 per hour. She also does yard work for $12 per hour. Li

Fittoniya [83]

Answer:

(a)

$r\geq 5$

$r+y\leq 15$

$8r+12y\geq 120$

$y\geq 0$

(c)Maximum number of hours Lia can work at the restaurant and still meet her earnings goal = 15 hours

(d)Maximum Earning = $160

Step-by-step explanation:

Let r be the number of hours worked at the restaurant.

Let y be the number of hours of yard work,

Lia must work at least 5 hours per week in her family’s restaurant for $8 per hour.

$r\geq 5$

Since she does yard work, $y\geq 0$

Lia’s parents allow her to work a maximum of 15 hours per week overall.

$r+y\leq 15$

Lia’s goal is to earn at least $120 per week.

The restaurant, r pays $8 per hour

Yard work, y pays $12 per hour.

Therefore:

$8r+12y\geq 120$

The system of inequalities that represent this problem is therefore:

$r\geq 5$

$r+y\leq 15$

$8r+12y\geq 120$

$y\geq 0$

(b)The graph of the inequality is attached below

(c)When the graph is plotted, the vertices of the feasible region are:

(5,10)
(5, 6.7)
(15,0)

Where the first term is for the number of hours worked in the restaurant.

The maximum value of r possible is 15 from the three points.

Therefore, she can work at the restaurant for 15 hours and still meet her earning goal.

(d)Maximum Amount Lia can earn in 1 Week

At (5,10), Earning=(5X8)+(10X12)=40+120=$160

At (5, 6.7), Earning=(5X8)+(6.7X12)=40+80.4=$120.4
At (15,0) Earning=(15X8)+(0X12)=$120

Since she has to work at least 5 hours at the restaurant, the maximum amount possible is $160.

8 0

3 years ago