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Anvisha [2.4K]
3 years ago
10

Maureen cut a 20-cm ribbion into exactly three pieces. The first piece is 3cm shorter than the second piece. The third piece is

4cm shoter than the second. Find the length of the shortest piece.​
Mathematics
1 answer:
uysha [10]3 years ago
7 0
The first piece is 6, the second is 9, the third is 5.
9-4=5
9-3=6
9+5+6=20
(You have to guess/try a bunch of numbers to get 9 and see which one works)
Hope this helped!
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Helpp!!!!<br> Give the relation and identify the x and y axis intercepts.
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Answer:

(2, 0) and (6, 0)

Step-by-step explanation:

y = x^2 - 8 x + 12

To get the x intersept put y = 0

x^2 - 8 x + 12 = 0 \\\\x^2 - 6 x - 2 x + 12 = 0 \\\\x(x- 6) - 2(x - 6) = 0 \\\\(x - 2) (x - 6) = 0 \\\\x = 2 and x = 6

So, the intersepts are

(2, 0) and (6, 0)

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Solve 15 ≥ -3x or x ≥ -2.
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Answer:

x ≥ - 2.

Step-by-step explanation:

We have to solve the compound inequality.

It is 15 ≥ - 3x or x ≥ - 2

Now, from the first part we have  

15 ≥ -3x

⇒ -\frac{1}{3} \times 15 \leq  -\frac{1}{3}(- 3x)

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And the second part is x ≥ -2 ......... (2)

Therefore, the conditions (1) and (2) will both be true if x ≥ - 2.

Hence, this is the solution. (Answer)

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Read 2 more answers
A company offers premium cable for 39.95 per month plus a one time setup fee. the total cost for setup and 6 monthes of service
Yakvenalex [24]

Answer:

Part a) The equation of the line in point slope form is

y-264.70=39.95(x-6)

Part b) The equation in slope intercept form is

y=39.95x+25

Part c) The setup fee is $25

Step-by-step explanation:

Part a) write an equation in point slope form

Let

x ------> the number of months of service

y -----> the total cost

we know that

The equation of the line in point slope form is

y-y1=m(x-x1)

where

m is the slope

(x1,y1) is a point that lie on the line

In this problem we have that the cost of $39.95 per month is equal to the rate or slope of the linear equation

m=39.95\ \frac{\$}{month}

we have that the point (6,264.70) is a solution of the linear equation

substitute the given values

y-264.70=39.95(x-6) ----> equation in point slope form

Part b) write the equation in slope intercept form

The equation of the line on slope intercept form is

y=mx+b

where

m is the slope

b is the y-coordinate of the y-intercept

we have

y-264.70=39.95(x-6)

Isolate the variable y

Distribute right side

y-264.70=39.95x-239.70

Adds 264.70 both sides

y=39.95x-239.70+264.70

y=39.95x+25

Part c) what is the setup fee?​

The setup fee is the y-intercept of the linear equation

The y-intercept is the value of y when the value of x is equal to zero

In this problem, the y-intercept is the total cost when the number of months of service is equal to zero (the cost is equal to the setup fee)

For x=0

y=39.95(0)+25

y=\$25

The setup fee is $25

8 0
3 years ago
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