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xxTIMURxx [149]
3 years ago
10

Loft insulation reduces annual heating costs by 20%.

Mathematics
1 answer:
Bond [772]3 years ago
3 0

Answer:

Without isolation annual cost would be 650$

Step-by-step explanation:

Without isolation annual cost is named x and it's worth 100%

With isolation annual cost is 520$ and it's worth (100%-20%) = 80%

Now we will make proportion

x : 520 = 100 : 80

When we multiply external and internal members we get

80 x = 100 · 520 => x = 100 · 520/80 = 650$

x = 650$

God with you!!!

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The graph above is a transformation of the function x2 Write an equation for the function graphed above
lutik1710 [3]

Answer: y=0,5x²-x-1,5.

Step-by-step explanation:

(-1;0)\ \ \ \ (3;0)\ \ \ \ (1;-2)   \ \ \ \  y=ax^2+bx+c\ ?\\\left\{\begin{array}{ccc}a*(-1)^2+b*(-1)+c=0\\a*3^2+b*3+c=0\\a*1^2+b*1+c=-2\end{array}\right \ \ \ \  \ \left\{\begin{array}{ccc}a-b+c=0\ \ (1)\\9a+3b+c=0\ (2)\\a+b+c=-2\ (3)\end{array}\right  \\

We summarize (1) and (3):

2a+2c=-2\ |:2\\a+c=-1\ \ \ \ \Rightarrow\\a+b+c=-2\\(a+s)+b=-2\\-1+b=-2\\b=-1.

Substitute b=-1 into (2):

9a+3*(-1)+c=0\\9a-3+c=0\\9a+c=3\ \ (5).\\

From (5) subtract (4):

8a=4\ |:8\\a=0,5.\ \ \ \  \Rightarrow\\

Substitute a=0,5 into (4):

0,5+c=-1\\c=-1,5.

Hense:

y=0,5x²-x-1,5.

5 0
1 year ago
Simplify. 8c³d²/4cd²
loris [4]

Answer:

2c exponent 4 d exponent 4

6 0
2 years ago
The price of bananas can be determined by the equation P=0.25n, where P is the price and n is the number of bananas. What is the
Lera25 [3.4K]

Given:

The price of bananas can be determined by the equation P=0.25n, where P is the price and n is the number of bananas.

To find:

The constant of proportionality

Solution:

We have,

P=0.25n       ...(i)

where P is the price and n is the number of bananas.

Price P is directly proportional to the number of bananas. So,

P\propto n

P=kn            ...(ii)

Where, k is the constant of proportionality.

On comparing (i) and (ii), we get

k=0.25

Therefore, the constant of proportionality is 0.25.

8 0
3 years ago
Given f(x) = -4x and g(x) = -5x - 8, find g(f(6-2m²))​
storchak [24]

9514 1404 393

Answer:

  -40m² +112

Step-by-step explanation:

g(f(6-2m²)) = g(-4(6 -2m²)) = g(8m² -24)

= -5(8m² -24) -8 = -40m² +120 -8

g(f(6-2m²)) = -40m² +112

3 0
3 years ago
16.A company sells calculators for $35 each. Businesses
Olenka [21]

Answer: $3550 or letter: I

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8 0
2 years ago
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