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Tema [17]
3 years ago
7

you recently purchased an item the cost $84.99 before tax. the tax on the item was $7.22. what was the tax rate?

Mathematics
1 answer:
lapo4ka [179]3 years ago
6 0
Is approximately 8.49 percent
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The hypotenuse of a right triangle is 10cm long. The longer leg is 2cm longer than the shorter leg. Find the side lengths of the
Crazy boy [7]
We need Pythagoras theorem here
a^2+b^2 = c^2
a, b =  legs of a right-triangle
c = length of hypotenuse

Let S=shorter leg, in cm, then longer leg=S+2 cm
use Pythagoras theorem
S^2+(S+2)^2 = (10 cm)^2
expand (S+2)^2
S^2 +   S^2+4S+4  = 100 cm^2   [collect terms and isolate]
2S^2+4S =  100-4 = 96 cm^2
simplify and form standard form of quadratic
S^2+2S-48=0
Solve by factoring
(S+8)(S-6) = 0   means (S+8)=0, S=-8
or                                   (S-6)=0, S=6
Reject nengative root, so
Shorter leg = 6 cm
Longer leg = 6+2 cm = 8 cm
Hypotenuse (given) = 10 cm

5 0
3 years ago
Myra is evaluating the expression –31.7 + 4.5x, when x = 2.1.
mylen [45]

Answer:

-22.25

Step-by-step explanation:

-31.7+4.5(2.1)

-31.7+9.45

-22.25

8 0
3 years ago
Read 2 more answers
The box plots below show the lifespan, in months, of laptop batteries manufactured by four companies: box plot labeled Company A
denis-greek [22]
I think the answer would be D. Hope this helps!
7 0
3 years ago
MARKING AS BRAINLIEST!! Starr if given functions are inverse)!
Kitty [74]

Answer: They are inverses of each other

==========================================================

Explanation:

We'll need to compute h(f(x)) and f(h(x)) to see if we get x each time.

h(x) = 9x-4\\\\h(f(x)) = 9(f(x))-4\\\\h(f(x)) = 9\left(\frac{x+4}{9}\right)-4\\\\h(f(x)) = x+4-4\\\\h(f(x)) = x\\\\

and,

f(x) = \frac{x+4}{9}\\\\f(h(x)) = \frac{h(x)+4}{9}\\\\f(h(x)) = \frac{9x-4+4}{9}\\\\f(h(x)) = \frac{9x}{9}\\\\f(h(x)) = x\\\\

Both composite functions lead to x each time.

The equations h(f(x)) = x and f(h(x)) = x being true means each function is the inverse of the other.

5 0
3 years ago
Read 2 more answers
1. Explain in a complete sentence if the point (2, -4) is the solution to the system of equations. x + y = -2 2x – y = 8
Temka [501]
So, it says x + y = -2
we just plug in the numbers so,
2 + - 4 = -2
This equation is true and can also be written as
2 - 4 = -2

It also then says that 2x - y = 8
Again, you just plug in the numbers
2 * 2 - (-4) = 8 
This equation is true and can also be writen as,
2*2 + 4 = 8
7 0
3 years ago
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