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2 years ago

How would you solve this problem? (Worth 10 points, pls help!)

Mathematics

1 answer:

mrs_skeptik [129]2 years ago

5 0

Answer:

(22,0)

Step-by-step explanation:

1. Select any two points given and find their slope (rise/run)

(-38, 40) and (-23, 30)

slope = $\frac{40-30}{-38-(-23)}$ = - 2/3

2. Use the slope and one of the points to create an equation of the line in the format y = mx + b, where m = slope and b = y-intercept.

y = mx + b ⇒ 40 = -2/3 (-38) + b

3. Solve for b

40 = -2/3 (-38) + b

40 = 76/3 + b

40 - 76/3 = b

b = 44/3

4. To find the x-intercept, set y = 0, and solve.

y = -2/3 x + 44/3

0 = -2/3 x + 44/3

2/3 x = 44/3

x = 22

Hope this helped!

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What division problem equals 184.32

Wewaii [24]

Answer:

There are many answers applicable to this question, one of them is 368.64/2 = 184.32

Step-by-step explanation:

All you have to do is multiply 184.32 times two. You can also try this with other numbers.

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3 years ago

Suppose the population of a town is 98,000 in 2014. The population increases at a rate of 3.7 percent every year. What will the

Setler [38]

Answer: 121871

Step-by-step explanation:

Current population = 98000

Rate of increase = 3.7% / year

Total time = 2020 - 2014 = 6 years

Population in 2020 = 98000 * (1+ (3.7/100))^6

= 98000 * (1.037)^6 = 98000 * 1.243576 = 121870.505

Rounding off to nearest whole number we get the population = 121871

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2 years ago

Help! 3-4 quick please!!

Inga [223]

3: independent
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2 years ago

A landscaper needs 3 4/8 pounds of plant food. He has 1 1/4 pounds in his truck, and another 4/6 pound at his shop. How many mor

kow [346]

Answer:

$\frac{19}{12}\ pounds$

$1\frac{7}{12}\ pounds$

Step-by-step explanation:

Let

x ----> the additional pounds of plant food needed for the landscaper

we know that

The additional pounds of plant food needed for the landscaper plus the pounds in his truck plus the pounds in his shop must be equal to the total pounds of plant food needed

The linear equation that represent this problem is

$x+1\frac{1}{4}+\frac{4}{6}=3\frac{4}{8}$

Convert mixed number to an improper fractions

$1\frac{1}{4}=1+\frac{1}{4}=\frac{4*1+1}{4}=\frac{5}{4}$

$3\frac{4}{8}=3+\frac{4}{8}=\frac{3*8+4}{8}=\frac{28}{8}=\frac{14}{4}$

Substitute in the expression above

$x+\frac{5}{4}+\frac{4}{6}=\frac{14}{4}$

solve for x

Multiply by (4*6) both sides to remove the fractions

$24x+30+16=84$

Combine like terms left side

$24x+46=84$

subtract 46 both sides

$24x=84-46$

$24x=38$

Divide by 24 both sides

$x=\frac{38}{24}\ pounds$

simplify

$x=\frac{19}{12}\ pounds$

Convert to mixed number

$\frac{19}{12}\ pounds=\frac{12}{12}+\frac{7}{12}=1\frac{7}{12}\ pounds$

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2 years ago

A parachutist is 800 feet above the ground when she opens her parachute. She then falls at a constant rate of 5 feet per second.

jeyben [28]

The answer is y=-5x+800, x being the # of seconds she's been in the air, and y being how far above the ground she is.

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3 years ago