MATHEMATICS HIGH SCHOOL

What is the solution to the equation -(5-(a+1))=9-(5-(2a-3))

Answers

Answer 1
Answer:

Answer:

a)-5

Step-by-step explanation:

-(5-(a+1))=9-(5-(2a-3))

=    -(5-a-1)= 9-(5-2a+3)

=    -5+a+1 = 9-5+2a-3

=     -4+a = 1+2a

=     -4 - 1 = 2a-a

=     -5 = a
Answer 2
Answer: Step 1: Simplify both sides of the equation.
−(5−(a+1))=9−(5−(2a−3))
−(5−(a+1))=9+−1(5−(2a−3))(Distribute the Negative Sign)−(5−(a+1))=9+(−1)(5)+−1(−2a)+(−1)(3)−(5−(a+1))=9+−5+2a+−3a+−4=9+−5+2a+−3(Distribute)a−4=(2a)+(9+−5+−3)(Combine Like Terms)a−4=2a+1a−4=2a+1Step 2: Subtract 2a from both sides.a−4−2a=2a+1−2a−a−4=1Step 3: Add 4 to both sides.−a−4+4=1+4−a=5Step 4: Divide both sides by -1.−a−1=5−1a=−5

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If a roof's slope is 0.5, how high will the roof rise over a 17-foot run?a). 8 1/2 feet
b). 17feet
c). 1/34 feet
d). 34 feet

Answers

The answer to the mathematics question presented above would be letter a) 8 and 1/2 feet. If a roof's slope is 0.5, the height of the rise of the roof over a 17 foot run would be 8 and 1/2 feet. I got this answer through multiplying the slope and the run to get the rise. 
Answer a) 8 and half feet.

You calculate it in this way

slope = rise / run ⇒ rise = slope * run = 0.5 * 17 feet = 8.5 feet.

If f(x) = 1/9 x-2 , what is f–1(x)?

Answers

Answer:

f^(-1)(x)=9x+2

Step-by-step explanation:

Given: f(x)=(1)/(9)(x-2)

We need to find the inverse of f(x).

Step 1: Set f(x) = y

y=(1)/(9)(x-2)

Step 2: Switch x and y

x=(1)/(9)(y-2)

Step 3: Solve for y, Isolate y

x=(1)/(9)(y-2)

Multiply by 9 both sides

9x=y-2

Add 2 both sides

9x+2=y

y=f^(-1)(x)

Hence, f^(-1)(x)=9x+2
Hello,

y=1/9 x-2
==>x=1/9 y -2
==>9x=y-18
==>y=9x+18

f^(-1)(x)=9x+18

If y varies directly as x, and y is 6 when x is 72, which is the value of y when x is 8 ?

Answers

(y)/(x) = k

(6)/(72) = k

(1)/(12) = k

********************************

(y)/(x) = k

(y)/(8) = (1)/(12)

   12y = 8

      y = (8)/(12)

      y = (2)/(3)

y = (2)/(3)

given y ∝ x

To convert to an equation multiply by k the constant of variation

y = kx

to find k use the given condition y = 6 when x = 72

y = kx ⇒ k = (y)/(x) = (6)/(72) = (1)/(12)

equation is → y = (1)/(12) x

when x = 8 then

y = (1)/(12) × 8 = (8)/(12) = (2)/(3)

A shop is giving 20% discount in a sale. A shirt in the shop normally costs $60. How much does it cost in the sale?

Answers

20 percent of 60 is 1260 dollars minus 12 is?That's your answer.
Since the shop is giving 20% discount, that means the paid amount would actually
be (100 -20) % = 80 %

So for a $60 shirt,  amount =  80% of 60

= (80/100) x 60 
= (8/10) x 60
= 48.

Cost in sale = $48.
Cheers.

A while back, either James borrowed $12 from his friend Rita or she borrowed $12 from him, but he can't quite remember which. Either way, he is planning to pay her back or ask that she pay him back this afternoon. If he has $42.80 in his wallet, which equation represents the amounts of money he may have after he sees Rita?

Answers

He will either have $54.80 or $30.80 in his wallet. Also, the question says, how much money will he have after, not how much will he have in his wallet after..... so you just write x as its unknown how much other money he has.... just saying

Need help with this HW solution. I have tried many times but just can't seem to work it out properly.

Answers

As a starter, the y value is equal to f(x); the x value is equal to the x in f(x).

So basically, in this case, replace x with the number in the brackets.

Coordinates have x, y values (x, y). Here, we know x is -2, so we need to find y.

on the graph, find x = -2 and find where the line of the drawn graph intersects it. Looks like the line intersect x = -2 when y = 3. So f(-2) = 3.

Same applies for b: x = 0, find where the line hits x = 0, and that's your y value, which is 1.

Tried my best to simplify it. Hope it helps lol.
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