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3 years ago

Select the appropriate property of equality for the statement. If a = b, then a + c = b + c.

Mathematics

1 answer:

Liula [17]3 years ago

5 0

A. ) Addition Property is the answer

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There are 500 sheet of paper in the pack Hannah bought. She has used 137 sheets already. How many sheets of paper does Hannah ha

Grace [21]

Just work out 500 takeaway 137

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3 years ago

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How do the absolute value of -11.5 and the absolute value of -9.5 COMPARE ? choose the correct symbol.

Step2247 [10]

Answer:

Step-by-step explanation:

absolute value is just the number without the negative sign if there is one.

11.5>9.5 always.

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3 years ago

The perimeter of a square closet is 12 m. What is the cost of carpeting it at $7.00 per square meter

snow_lady [41]

Area= 12m * 12m = 144m^2 *7.00$ = 1008$.
Final answer: 1008$

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3 years ago

Which function is f(x) equal to f^-1(x)?

Morgarella [4.7K]

Answer:

c. f(x) x+1/x-1

Step-by-step explanation:

To answer this question, we need to check each answer one by one until we find the right one.

y = (x+6)/(x-6)

switch x and y

x = (y+6)/(y-6)

solve for y

x(y-6) = y+6

xy - 6x = y+6

y(x-1) = 6x+6

y = (6x+6) /(x-1) = 6(x+1)/(x-1)

f^-1(x) = 6(x+1)/(x-1)

y = (x+2)/(x-2)

switch x and y

x = (y+2)/(y-2)

solve for y

x(y-2) = y+2

xy -2x = y+2

y(x-1) = 2x+2

y = (2x+2)/(x-1)

f^-1(x) = 2(x+1)/(x-1)

y = (x+1)/(x-1) ------ correct one

switch x and y

x = (y+1)/(y-1)

solve for y

x(y-1) = y+1

xy - x = y+1

y(x-1) = x+1

y = (x+1)/(x-1)

f^-1(x) = (x+1)/(x-1)

f(x) = f^-1(x)

6 0

3 years ago

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Draw the graphs of the equations x – y = 1 and 2x + y = 8. Shade the area bounded by these two lines and y-axis. Also, determine

NikAS [45]

Answer:

Using Geometry to answer the question would be the simplest:

Step-by-step explanation:

Remembering the formula for the area of a triangle which is $A=\frac12bh$ . One can then tackle the question by doing the following:

Step 1 Find the y-intercepts

The y-intercepts are found by substituting in $x=0$ .

Which gives you this when you plug it into both equations:

$-y=1\\y=-1\\y=8$

So the y-intercepts for the graphs are $(0,-1)\\$ , and $(0,8)$ respectively.

Now one has to use elimination to solve the problems by adding up the equations we get:

$x-y=1\\2x+y=8\\3x=9\\x=3$

Now to solve for the y component substitute:

$2(3)+y=8\\y=2$

Therefore, the graphs intersect at the following:

$(3,2)$

Now we have our triangle which is accompanied by the graph.

now to solve it we must figure out how long the base is:

$b=8-(-1)\\b=9$

The height must also be accounted for which is the following:

$h=3$

Now the formula can be used:

$A=\frac12bh=\frac12(9)(3)=\frac{27}2\ \text{units}^2$

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3 years ago

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