Answer:
Step-by-step explanation:
For Question 3, we are simply taking an input for the function, as a value of x and solving the equation. For part a, we substitute 3/14 into the first function, and solve it:
f(x) = 7(3/14) + 2
f(x) = 21/14 + 2
f(x) = 49/14
f(x) = 7/2
For part b, we take the input of -3 into the second function and solve the equation:
h(x) = 4(-3)^2
h(x) = 4(9)
h(x) = 36
For Question 4, we are simply solving this equation by isolating the x variable. First, we simplify the equation to 4-5x+15+2x = -2 and simplify this again to -3x+19 = -2. Now, we can subtract 19 from both sides of the equation to get -3x = -21. Lastly, we isolate the x variable by dividing both sides of this equation by -3, to get x = 7.
Step-by-step explanation:
So sqrt(40) lies between 6 and 7.
Answer:
Not equivalent
Step-by-step explanation:
Distribute the negative in the parentheses. It basically multiplying everything inside by -1.
add like terms
Not equivalent since the 6x is positive
40
+5
+6
.03
------------------
= 51.03
-----------------
Answer:
0
Step-by-step explanation:
Step 1: Simplify both sides of the equation.
8x+4(4x+3)=4(6x+4)−4
8x+(4)(4x)+(4)(3)=(4)(6x)+(4)(4)+−4(Distribute)
8x+16x+12=24x+16+−4
(8x+16x)+(12)=(24x)+(16+−4)(Combine Like Terms)
24x+12=24x+12
24x+12=24x+12
Step 2: Subtract 24x from both sides.
24x+12−24x=24x+12−24x
12=12
Step 3: Subtract 12 from both sides.
12−12=12−12
0=0
Answer:
All real numbers are solutions.
