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Bad White [126]

3 years ago

7

Find the value of "r" so that the line through (2,-3) and (-4,r) has a slope of -1/2

1 answer:

trapecia [35]3 years ago

4 0

Hi there! The formula for finding slope is y2 - y1/ x2 - x1. -4 represents x2, and 2 represents x1. -4 - 2 is -6. If you think about it, 3/-6 makes -1/2. -3 is y1, so we will be adding, because adding a negative number actually means adding. 0 - (-3) gives us 3. There. The value of r is 0.

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How do I simplify the following 1-4(u-1)

lakkis [162]

-4u+5
hope this helps you

3 0

4 years ago

All of the students of Music High School are in the band, the orchestra, or both. 80 percent of the students are in only one gro

il63 [147K]

Answer:

Option B.

Step-by-step explanation:

It is given that all of the students of Music High School are in the band, the orchestra, or both.

Students only one group = 80%

Students in both groups = 100%-80% = 20%

Students in band only = 50%

Students in band = Students in band only + Students in both groups

= 50% + 20% = 70%

Students in orchestra only = 100% - 70% = 30%

There are 119 students in the band.

Let total number of student be x.

$70\% of x=119$

$\dfrac{70}{100}x=119$

$0.7x=119$

$x=170$

Total number of students is 170.

We know that 30% of all students are in orchestra only.

$170\times \dfrac{30}{100}=51$

Therefore, the correct option is B.

5 0

4 years ago

Students make 71.5 ounces of liquid soap for a craft fair. They put the soap in 5.5 ounce bottles

Oxana [17]

Answer:

13 bottles of soap

Step-by-step explanation:

71.5/5.5=13

5 0

3 years ago

How much bacteria is present after 12 days?

kiruha [24]

Plug in 12 for t in the given equation and solve

4 0

3 years ago

The cost function for a certain company is C = 20x + 700 and the revenue is given by R = 100x − 0.5x2. Recall that profit is rev

Sladkaya [172]

Answer:

The two values of production level are:

x = 20

or

x = 140

Step-by-step explanation:

Let's write the Profit equation by subtracting the cost function from the revenue one:

$Profit(x)=100\,x-0.5\,x^2-(20\,x+700)\\Profit(x)=-0.5\,x^2+80\,x-700$

Now, we set to find the production level "x" to give us a profit of $ 700:

$Profit(x)=-0.5\,x^2+80\,x-700\\700=-0.5\,x^2+80x-700\\0.5\,x^2-80\,x+1400=0$

So we solve this quadratic equation using the quadratic formula:

$x=\frac{80+/-\sqrt{80^2-4(0.5)(7700)}}{2\,*\,0.5} \\x=80+/-\sqrt{3600} \\x=80\,+/-\,60$

which gives two posible solutions: x = 20, or x = 140

6 0

4 years ago