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3 years ago

I need help with 17, 19, 21, and 23.

Mathematics

2 answers:

Evgen [1.6K]3 years ago

7 0

17. 2x<16 x=7 or lower
All I can help you with is #17,
sorry that I can't answer the other 3.
I hope this helped! :-)

RUDIKE [14]3 years ago

3 0

17) Let, the number = x
It would be: 2x ≥ 16
Divide both sides by 2,
2x/2 ≥ 16
x ≥ 8

19) Let, the number = x
5 < x/3 - 11 < 10
Add 11 to each side,
16 < x/3 < 21
Multiply 3 to the each side,
48 < x < 63

21) It would be: 1/0.06 < x< 1/0.02
[ 1 m = 100 cm] so, [6cm = 0.06 m & 2m = 0.02 cm]
17 < x < 50

23) Let, that number of books = x
It would be: 30 + 1.5x = 60
Subtract 30 from both sides,
1.5x = 30
Divide by 1.5,
x = 20
[Final Answers are in bold letters ]

Hope this helps!

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valina [46]

Answer:

Step-by-step explanation:

You have 3 unknowns: a, b, and c. It's our job to find them algebraically. I'm going to start with the point where x = 0 and y = 7. You'll see why in a minute. Filling in the standard form of a quadratic

$y=ax^2+bx+c$ using (0, 7):

$7=a(0)^2+b(0)+c$ gives you that c = 7. We will use that value now when we write the next 2 equations. Now the point (-2, 19):

$19=a(-2)^2+b(-2)+7$ and

$19=4a-2b+7$ so

12 = 4a - 2b

Now for the next point (-1, 12):

$12=a(-1)^2+b(-1)+7$ and

$12=a-b+7$ so

5 = a - b

Now we have a system of equations (the 2 bold font equations) that we will solve by elimination:

12 = 4a - 2b

5 = a - b

Multiply the bottom equation by -4 to get a new system:

12 = 4a - 2b

-20 = -4a + 4b

Add those together to get rid of the a terms and end up with

-8 = 2b so

b = -4

Now we can sub in -4 for b to solve for a. I'm using the second bold type equation to do this:

5 = a - (-4) and

5 = a + 4 so

a = 1 and the equation for the quadratic function is

$y=x^2-4x+7$

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3 years ago

Fill in the blanks to rewrite the following statement with variables: Given any positive real number, there is a positive real n

sveticcg [70]

Answer:

a) there is s such that r>s and s is positive

b) For any r>0 , there exists s>0 such that s<r

Step-by-step explanation:

a) We are given a positive real number r. We need to wite that there is a positive real number that is smaller. Call that number s. Then r>s (this is equivalent to s<r, s is smaller than r) and s is positive (or s>0 if you prefer). We fill in the blanks using the bold words.

b) The last part claims that s<r, that is, s is smaller than r. We know that this must happen for all posirive real numbers r, that is, for any r>0, there is some positive s such that s<r. In other words, there exists s>0 such that s<r.

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3 years ago

You work on a concrete crew starting a construction project. once the pouring begins, it must continue nonstop until it is compl

Lina20 [59]

Answer:

look at the workey??

Step-by-step explanation:

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2 years ago

Hi, can someone please help me out with this problem? thanks in advance.

kiruha [24]

Answer:

The following is an income statement using the Contribution format.

...........................Income Statement for Rivieremia Corp................................

Sales ........................................................................$1,500,000

Less Variable Costs................................................($1,200,000)

Contribution Margin..............................................$300,000

Less Fixed Costs....................................................($200,000)

Operating Income .................................................$100,000

Less Tax....................................................................($10,000)

Net Income...............................................................$90,000

Tax = 10% * 100,000 = $10,000

Proving breakeven is $1,000,000.

The breakeven point for a company can be calculated by dividing the Fixed cost by the contribution margin ratio.

Contribution margin ratio = Contribution margin / Sales

= 300,000/1,500,000

= 20%

= Fixed Cost/ Contribution Margin ratio

= 200,000/20%

= $1,000,000

Degree of Operating Leverage = Contribution Margin/ Operating Income

= 300,000/100,000

= 3

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3 years ago

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GenaCL600 [577]

You would have to make a point at 6/3 and go down one and to the left 7... then your answer would be -1/2 sooo D=-1 hope this helps

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