Answer:
1a. y-intercept: 12
1b. slope: -3/2
1c. equation: y = -3/2x +12
2a. y-intercept: -9
2b. slope: 2
2c. equation: y = 2x -9
Step-by-step explanation:
<h3>1.</h3>
A) We observe the pattern to be <em>x-values in the table increase by 2, while y-values in the table decrease by 3</em>. We notice the first x-value is 2, so extending the table upward to x=0 would tell us the y-intercept. That is, adding 3 to the first y-value will give the y-intercept as (x, y) = (0, 12).
B) We have already observed that the "rise" (change in y) is -3 for each "run" (change in x) of 2. The slope is the ratio of these changes:
slope = m = rise/run = -3/2
C) From the above, we know that m=-3/2 and b=12. Putting these values into the equation for the line gives ...
y = -3/2x +12
__
<h3>2.</h3>
A) We observe the pattern to be <em>y-values increase by 2 while x-values increase by 1</em>. As before, we can find the point that would go before the first one shown in the table. It will have an x-value of 0 and a y-value of -9.
the y-intercept is -9
the slope is 2/1 = 2
the equation is y = 2x -9
Answer:
d=20/3 or 6.6 repeating
Step-by-step explanation:
Let's solve your equation step-by-step.
12−
3
4
(d+16)=−5
Step 1: Simplify both sides of the equation.
12−
3
4
(d+16)=−5
12+
−3
4
d+−12=−5(Distribute)
(
−3
4
d)+(12+−12)=−5(Combine Like Terms)
−3
4
d=−5
−3
4
d=−5Step 2: Multiply both sides by 4/(-3).
(
4
−3
)*(
−3
4
d)=(
4
−3
)*(−5)
d=
20
3
Answer:
d=
20
3
This equation<span> has x terms on both the left and the right. To solve an </span>equation<span> like this, you must first get the variables on the same side of the </span>equal<span> sign. You can subtract 5x on each side of the </span>equal<span> sign, which gives a new </span>equation<span>: x + </span>5<span> = 10. hope this helps</span>
Answer:
1,290.32
Step-by-step explanation:
508 x 2.54
Answer: Porque puedes intercambiar ambos, supongo
Step-by-step explanation: