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Tom [10]
3 years ago
14

Graph y > -½x + 3 PLEASE HELP

Mathematics
1 answer:
Morgarella [4.7K]3 years ago
5 0

Answer:

see attached

Step-by-step explanation:

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Factor Completely: x^2-13x-48
salantis [7]

Answer:

Therefore,the required factors are ( x - 16 ) and ( x + 3 )is

Step-by-step explanation:

Given:

x^{2} -13x-48

To Factorize:

Solution:

First remove the factor of -48 such that you multiply the two number, the Product should be -48 and the SUM should be -13.

-48 = -16 × 3

Here, -16 and 3 are the two  required numbers

now the given expression we will split the middle term  and Factorize the given equation.

x^{2} -13x-48 =x^{2} -16x+3x-48\\\\\\\textrm{removing x common and 3 common we get}\\x^{2} -13x-48=x(x-16)+3(x-16)\\\\x^{2} -13x-48=(x-16)(x-3)

Therefore,the required factors are ( x - 16 ) and ( x + 3 )

4 0
3 years ago
Which arrangement for these numbers is from least to greatest 2/3, 3/5, 5/7
Diano4ka-milaya [45]

Answer:5/7, 2/3, 3/5

Step-by-step explanation:

5 0
3 years ago
Read 2 more answers
In the diagram, what is the measure of angle 1?
VLD [36.1K]
We know that
 angle (3x) and angle (9x) are supplementary angles
so
3x+9x=180°------> 12x=180°------> x=180°/12-----> x=15°

angle (9x) and angle (1) are supplementary angles
so
9x+∡1=180---------> 9*15+∡1=180
∡1=180-9*15---------> ∡1=180-135------> ∡1=45°

the answer is
∡1 is 45°

alternative method
angle 1 = angle 3x----------> vertical angles
∡1=3x-----> 3*15-----> 45°
7 0
3 years ago
Foggy Optics, Inc., makes laboratory microscopes. Setting up each production run costs $2500. Insurance costs, based on the aver
Ray Of Light [21]

Answer: 4

Step-by-step explanation:

Let N be the total number of runs.

The microscopes per year will be equal to the total number of runs * microscopes per run

total number of microscopes = total number of runs * microscopes per run

now we have each run to cost 2500, therefore:

run costs = 2500 * total runs = 2500*N

we also have insurance and storage costs (note the average thats why we divide by 2):

storage costs = 20* microscopes per run /2 = 20*N/2

insurance costs = 15 * microscopes per run = 15*N

the costs are:

costs = run costs + storage + insurance

now the comany sells 1600 microscopes a year, so in order to figure out the number of microscopes per run we divide 1600 by the total number of runs N and replace in the costs

costs = 2500N + 40000/N => C(N) = 2500N + 40000/N

now derivate the function with respect to N and equal to 0:

\frac{d}{dN}(2500N + 40000/N) = 2500(1-16/N^2) \\\\  2500(1-16/N^2) = 0\\

this gives you two solutions, N = -4 which is not eligible (you cant make negative microscopes lol) and N = 4 which is the answer

have a nice day

4 0
3 years ago
The volume of a cone is 540pi. work out the height of the cone.
Bas_tet [7]

Answer:

I would need the radius of the cone to answer this completely, bit I can get you super close and explain it.

Step-by-step explanation:

The formula for a cone is

\pi \times r {}^{2}  \times  \frac{h}{3}

From there, I started plugging in numbers. I set this equation equal to 540pi because both if them are the volume, so they are equal and I simplified as much as I could from there. First off, the pi cancel each other out since they're on both sides of the equation. From there you have this equation:

r {}^{2}  \times  \frac{h}{3}  = 540

Then, I multiplied both sides by 3 to get rid of the fraction on the left side of the equation:

r {}^{2} h = 1620

Finally, I got rid of the "squared" by putting a square root over both sides if the equation, getting this:

r \times h = 40.249

If I knew the radius. I could get the answer by dividing both sides by the radius.

Good luck!

4 0
2 years ago
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