<u>Answer:</u>
gradient = =
y-intercept =
<u>Step-by-step explanation:</u>
• The slope-intercept form of an equation takes the general form:
,
where:
m = slope,
c = y-intercept.
• We are given the equation:
To change this into the slope-intercept form, we must make y the subject:
[subtract from both sides]
⇒ [divide both sides by 3]
⇒
• Comparing this equation with the general form equation, we see that:
m =
c = .
This means that the gradient is , and the y-intercept is .
Answer:
The third expression: (2x)^3
Step-by-step explanation:
Plug in 3 for x in each expression
2x^3
2(3)^3
Use PEMDAS
2 (3 × 3 × 3)
2 (9 × 3)
2 (27)
54
2x^3 + 5
(The last expression told us 2x^3 = 54 so feel free to use this information to make life easier)
54 + 5
59
(2x)^3
(2 × 3)^3
Use PEMDAS
6^3
6 × 6 × 6
36 × 6
216
(x - 1)^3
(3 - 1)^3
Use PEMDAS
2^3
2 × 2 × 2
4 × 2
8
216 is the greatest value so the third expression is the answer
answer is steeper
Step-by-step explanation:
Answer:
Sydney is 44 years old
Step-by-step explanation:
<u>Step 1: Make a system of equations
</u>
d = s - 15
<em>d + s = 73
</em>
<u>Step 2: Plug in s - 15 for d in the second equation and solve
</u>
s - 15 + s = 73
2s - 15 = 73 + 15
2s / 2= 88 / 2
<em>s = 44
</em>
Answer: Sydney is 44 years old