Don’t mind my handwriting but can someone help me please

Write an equation in point slope form of the line that passes through the given point and with the given slope m.

Digiron [165]

Answer:

The slope-intercept form, or y=mx+b, would be y=4x-16.

Step-by-step explanation:

if you use the data given, it would be 4=4(-5)+b.

4=-20+b

Then you would subtract '-20' from both sides.

-16=b.

Now, if you plug in the numbers without the (x,y). It would be,

y=4x-16.

6 0

3 years ago

The perimeter of a rectangle is 30 inches. If it's length is three times it's width, find the dimensions. Show work if possible.

taurus [48]

The rectangle problem:

First, create some variables.
w = width
l = length

Then you know that the length is 3 times the width, so
l = 3w

The equation for perimeter is
P = 2(l+w)

Now you use substitution, substituting the 3w for l because you found that earlier.

P = 2((3w) + w)

And simplify.
P = 2(4w)
P = 8w

And you know P = 30 because they told you that.
30 = 8w
w = 15/4 inches, or 3.75 inches

Now substitute that value back into that first equation,
l = 3w
l = 3(15/4)
l = 45/4 inches, or 11.25 inches.

The dimensions are 11.25in for length and 3.75in for width.

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The volleyball problem:

100 minutes of stretching and scrimmaging combined, and you know 10 have to be stretching, so 90 is scrimmaging.

s = scrimmaging
T = total time

s = 2/3T (they gave you this)
90 = 2/3T
T = (90*3)/2
T = 270/2
T = 135 minutes, or 2 hours and 15 minutes.

7 0

4 years ago

120 ≤ 12 k + 29 need help

Aleksandr [31]

The answer is $k$ ≥ $\frac{91}{12}$

First, you must flip the equation

$12k+29$ ≥ $120$

Then, you must subtract 29 on both sides

$12k$ ≥ $91$

Finally, divide both sides by 12

$k$ ≥ $\frac{91}{12}$

8 0

4 years ago

Use synthetic division to solve (2x^3+4x^2-35x+15)/(x-3). What is the quotient?

amm1812

Answer:

the quotient is 2x^2+10x-5

5 0

3 years ago

Marla scored 70% on her last unit exam in her statistics class. When Marla took the SAT exam, she scored at the 70th percentile

Lerok [7]

Answer:

The difference is that Marla's exam in her statistics class was graded by percent of correct answers, in her case 70%, while the SAT is graded into a curve, taking other students' grades also into account, and since she scored in the 70th percentile, Marla scored better than 70% of the students.

Step-by-step explanation:

Marla scored 70% on her last unit exam in her statistics class.

This means that in her statistics class, Marla got 70% of her test correct.

When Marla took the SAT exam, she scored at the 70th percentile in mathematics.

This means that on the SAT exam, graded on a curve, Marla scored better than 70% of the students.

Explain the difference in these two scores.

The difference is that Marla's exam in her statistics class was graded by percent of correct answers, in her case 70%, while the SAT is graded into a curve, taking other students' grades also into account, and since she scored in the 70th percentile, Marla scored better than 70% of the students.

3 0

3 years ago