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borishaifa [10]
2 years ago
11

−8x= \,\,7-(7.2x+8.8)+x 7−(7.2x+8.8)+x

Mathematics
1 answer:
katrin [286]2 years ago
7 0

Answer:

math was made just so we can be bored

Step-by-step explanation:

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Axis of symmetry for f(x) = -2x2 + 20x -42
Ksenya-84 [330]
For the function f(x)=2x^2 +20x-42

We can use the formula for the axis of symetry, which is x= \frac{-b}{2a}

With the values substituted, we get...

\frac{-20}{2(-2)} =5

Therefore the axis of symmetry is x=5 
8 0
3 years ago
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You decide to enter in a rowing competition. To train, you go to the boat house and begin rolling down stream. You row for the s
fredd [130]

Answer:

Time spent rowing down stream =100\ seconds

Speed of boat in still water =14\ ms^{-1}

Step-by-step explanation:

Let speed of boat in still water be = x\ ms^{-1}

Speed of current = 10\ ms^{-1}

Speed of boat down stream = \textrm{Speed of boat in still water +Speed of current}= (x+10)\ ms^{-1}

Distance rowed down stream = 2400 m

Time spent rowing down stream = \frac{Distance}{Speed}=\frac{2400}{x+10}\ s = \frac{Distance}{Speed}=\frac{2400}{x+10}\ s

Speed of boat up stream = \textrm{Speed of boat in still water -Speed of current}= (x-10)\ ms^{-1}

Distance rowed up stream = \frac{1}{6} \textrm{ of distance rowed downstream}=\frac{1}{6}\times 2400 = 400\ m

Time spent rowing up stream = \frac{Distance}{Speed}=\frac{400}{x-10}\ s

We know that,

\textrm{Time spent rowing down stream =Time spent rowing up stream}

So,

\frac{2400}{x+10}=\frac{400}{x-10}

Cross multiplying

2400(x-10)=400(x+10)

Dividing both sides by 400

\frac{2400(x-10)}{400}=\frac{400(x+10)}{400}

6(x-10)=x+10

6x-60=x+10

Adding 60 to both sides.

6x-60+60=x+10+60

6x=x+70

Subtracting both sides by x

6x-x=x+70-x

5x=70

Dividing both sides by 5.

\frac{5x}{5}=\frac{70}{5}

∴ x=14

Speed of boat in still water =14\ ms^-1

Time spent rowing down stream =\frac{2400}{14+10}=\frac{2400}{24}=100\ s

3 0
2 years ago
Type the correct answer in the box. Use numerals instead of words. If necessary, use / for the fraction bar.
Hatshy [7]

Answer:

The change in the area of the rectangle is 0 square feet

Step-by-step explanation:

To solve this problem we have to calculate the area of ​​the two rectangles that give us

first we have to know the formula to calculate the area of ​​a rectangle

a = area

l = length  = 12ft

w = width = 5ft

a = l * w

we replace the known walues

a = 12ft * 5ft

a = 60ft²

we do the same with the other rectangle, but first we have to calculate its sides

w = 5ft - (5ft * 20/100)

w = 5ft - 1ft

w = 4ft

l = 12ft + (12ft * 25/100)

l = 12ft + 3ft

l = 15ft

a2 = 15ft * 4ft

a2 = 60ft²

to calculate the change in the area we subtract (a - a2)

a - a2 =

60ft² - 60ft² = 0ft²

3 0
2 years ago
b A. Linear Function Does the graph represent a B. Neither C. Non-Linear Function linear function or a non-linear function?
nevsk [136]

It is a cubic function.

8 0
1 year ago
Simplify |65.45-42.45|-(30.40+45.83)
alisha [4.7K]

Answer:

−

53.23

Step-by-step explanation:

5 0
3 years ago
Read 2 more answers
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