All categories

3 years ago

PLZ HELP SS is attached below

Mathematics

1 answer:

Serggg [28]3 years ago

5 0

Answer:

$y+3=-\frac{1}{4}(x-8)$

Step-by-step explanation:

We want to find an equation in point-slope form of the line that passes through $(8,-3)$ and has slope $m=-\frac{1}{4}$ .

The point-slope form equation is given by the formula;

$y-y_1=m(x-x_1)$

We substitute the given point and slope into the formula to get;

$y--3=-\frac{1}{4}(x-8)$

This will simplify to

$y+3=-\frac{1}{4}(x-8)$

The correct answer is C

You might be interested in

Solve log x = 2. 100 1,000 2 20

dybincka [34]

keeping in mind that when the logarithm base is omitted, the base 10 is assumed.

$\textit{exponential form of a logarithm} \\\\ \log_a(b)=y \qquad \implies \qquad a^y= b \\\\[-0.35em] ~\dotfill\\\\ \log(x)=2\implies \log_{10}(x)=2\implies 10^2=x\implies 100=x$

5 0

2 years ago

There are 90 girls and 60 boys in the sixth grade at a middle school. Of these students, 7 girls and 2 boys write left-handed. W

Radda [10]

Answer:

Step-by-step explanation:

90 + 60 = 150
7 + 2 = 9
Set up a proportion: $\frac{9}{150} = \frac{x}{100}$
Cross multiply, then divide: 9 × 100 = 900, 900 ÷ 150 = 6
So, 6% of students in 6th grade were left-handed

I hope this helps!

6 0

3 years ago

Read 2 more answers

The average speed of one airplane is 200 mph faster than that of an automobile. If the automobile starts at 3 a.m. and the airpl

jok3333 [9.3K]

Distance = 500 miles

Distance of automobile = 10r

r = 50

Distance = 10 x 50 = 500 miles

7 0

4 years ago

The chemistry class was making 300 gallons of 30% isopropyl alcohol. They mixed 12% with 42%. How much of each did they use?

alexgriva [62]

Answer:

The chemistry class mixed 120 gallons of 12% isopropyl alcohol and 180 gallons of 42% isopropyl alcohol.

Step-by-step explanation:

1. Let's review the information given to us to answer the question correctly:

Amount of isopropyl alcohol made by the chemistry class = 300 of 30%

Amount of 12% isopropyl alcohol mixed by the chemistry class = x

Amount of 42% isopropyl alcohol mixed by the chemistry class = 300 - x

2. How much of each did they use?

Let's write our equation to solve for x, this way:

30% = 0.3, 12% = 0.12, 42% = 0.42

0.12x + 0.42 (300 - x) = 0.3 * 300

0.12x + 126 - 0.42x = 90

-0.3x = 90 - 126

-0.3x = -36

x = -36/-0.3

x = 120 ⇒ 300 - x = 180

Let's prove x = 120 is correct

0.12x + 0.42 (300 - x) = 0.3 * 300

0.12 * 120 + 0.42 (300 - 120) = 0.3 * 300

14.4 + 75.6 = 90

90 = 90

We proved x = 120 is correct

5 0

3 years ago

A car rental agency rents 190 cars per day at a rate of 29 dollars per day. for each 1 dollar increase in the daily rate, 5 fewe

Leviafan [203]

The equation that we can create from this situation is:

i = (190 – 5 x) * (29 + x)

where i is the income and x is the increase in daily rate

Expanding the equation:

i = 5510 + 190x – 145x - 5x^2

i = -5x^2 + 45x + 5510

Taking the 1st derivative:

di/dx = -10x +45

Set to zero to get the maxima:

-10x + 45 = 0

x = 4.5

So the cars should be rented at:

29 + x = 33.5 dollars per day

The maximum income is:

i = (190 – 5*4.5) * (33.5)

i = 5,611.25 dollars

7 0

3 years ago