# 20 points !

evaluate the expression. show your work.

6 x 7 - 3^2 x 9 + 4^3

your answer is -9

step-by-step explanation:

starting with:

5 + x - 12 = 2x - 7

5 + x - 12 - x = 2x - 7 - x (subtract x from both sides)

5 - 12 = x - 7 (combine and cancel x's from both sides)

5 - 12 + 7 = x - 7 + 7 (add 7 to both sides)

0 = x (add numbers together on both sides)

so in order for the equation to be true, x must be 0.

trying x = -0.5

5 + x - 12 = 2x - 7 (original equation)

5 + -0.5 - 12 = 2(-0.5) - 7 (plug in value of x)

5 + -0.5 - 12 = -1 - 7 (did multiplication)

-7.5 = -8 (did addition on both sides)

since -7.5 is obviously not equal to -8, the value of -0.5 for x is wrong.

trying x = 0

5 + x - 12 = 2x - 7 (original equation)

5 + 0 - 12 = 2(0) - 7 (plug in value of x)

5 + 0 - 12 = 0 - 7 (did multiplication)

-7 = -7 (did addition on both sides)

since -7 equals -7, that demonstrates that the value of 0 for x is correct.

trying x = 1

5 + x - 12 = 2x - 7 (original equation)

5 + 1 - 12 = 2(1) - 7 (plug in value of x)

5 + 1 - 12 = 2 - 7 (did multiplication)

-6 = -5 (did addition on both sides)

since -6 is obviously not equal to -5, the value of 1 for x is wrong.

25

Step-by-step explanation:

Following the order of operations as stated in PEMDAS

Given

6 × 7 - 3² × 9 + 4³ ← evaluate exponents

= 6 × 7 - 9 × 9 + 64 ← evaluate multiplication

= 42 - 81 + 64 ← evaluate addition

= 106 - 81

= 25

- Why is the rate of change of a slope secant and not tangent...
- For x ≥ 0, what is the smallest value of 4x2 8x 136(1 x)?...
- if t is the point at the given distance on the unit circle c from p(1, 0), determine the quadrant in which t lies: 3pi/4...
- Can someone help me out...
- if the particle in the box is in the second excited state (i. e., n=3), what is the probability p that it is between x=l/3 and x=l? to find this probability, you will need to evalu...
- Two numbers are in a ratio 11:7. If the smaller number is 700, what is the larger number? Pls tell with steps...
- Please help me with the below question....
- what is the probability of flipping 3 coins on the same side that is getting either all heads or all tails? write the exact decimal answer withput rounding...
- I need help with this one please...
- Let g(x) = x f(t) dt 0 , where f is the function whose graph is shown....