Answer:
To find f-¹(x) of f(x) equate f(x) to y
That's
f(x) = y
So we have

Next interchange the variables that's x becomes y and y becomes x
That's

Next make y the subject
Cross multiply
We have
4y - 7 = 10x
Move -7 to the right side of the equation
4y = 10x + 7
Divide both sides by 4
We have the final answer as

So

Hope this helps you
Answer:
( 5, 3/2 )
x = 5
y = 3/2
Step-by-step explanation:
5x - 4y = 19
x + 2y = 8
-------------------
2(x + 2y = 8) = 2x + 4y = 16
----------------------
5x - 4y = 19
2x + 4y = 16
7x = 35
÷7 ÷7
x = 5
-----------------------
x + 2y = 8
5 + 2y = 8
-5 -5
2y = 3
÷2 ÷2
y = ( 3/2 )
I hope this helps!
Answer:
yes
Step-by-step explanation:
Each day Donna and Mary toss a coin to see who buys the other person coffee ($2.34 a cup). One tosses and the other calls the outcome. If the person who calls the outcome is correct, the other buys the coffee; otherwise the caller pays. Assume that an honest coin is used, that Mary tosses the coin, and that Donna calls the outcome.
Answer:
The value of x is 7
Step-by-step explanation:
Complementary angles have a sum of 90°, therefore the equation to solve for x is:
∠1+∠2=90°
60°+5(x-1)°=90°
5(x-1)=30°
x-1=6
x=7
So the value of x is 7
Answer:
y ≤ 1/3 x - 1.3.
Step-by-step explanation:
First find the equation of the line:
The slope = (-0.3 - (-1.3) / (3 - 0).
= 1/3 so the equation is y = 1/3x + b where b is a constant.
b is the y-intercept which is the value of y when x = 0 . We see that it is -1.3 ( from the point 0, -1.3).
Since the line is continuous and the shading is below this line the inequality sign is 'less than or equal to', ≤.