Answer:2
Explanation:
The statement is expressed as
y
∝
1
x
inverse means
1
variable
To convert to an equation introduce k, the constant of variation.
y
=
k
×
1
x
⇒
y
=
k
x
To find k use the given condition that y = 8 when x = 4
8
=
k
4
⇒
k
=
4
×
8
=
32
⇒
equation is
¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯
∣
∣
∣
2
2
y
=
32
x
2
2
∣
∣
∣
−−−−−−−−−−−−
x
=
16
→
y
=
32
16
⇒
y
=
2
when
x
=
16
Answer:
(2x + 5)(3x - 7), (x + 4)(x - 2)
Step-by-step explanation:
a = 6, b = 1, c = -35
? × ? = ac = 6 × -35 = - (<u>2</u> × 3 × <u>7</u> × 5)
? + ? = b = 1
3 × 5 -(<em>negative sign from above</em>) 2 × 7 = <u>15</u> <u>- 14</u> = 1 = b
=
=
a = 1, b = 2, c = -8
? × ? = ac = 1 × -8 = -(2 × 2 × 2) = 4 × <u>-2</u>
? + ? = b = 2
4 + <u>(-2)</u> = 2 = b
=
Step-by-step explanation:
I don't know if I got that right
George's father will be 80 years old when George is half his age.
<span>Half his age is 50 so 35 + 15 is 50 so add that to his dads age
</span>
Answer: 80 years old
Step 1) Draw a dashed line through the points (0,6) and (4,7). These two points are on the line y = (1/4)x+6. To find those points, you plug in x = 0 to get y = 6. Similarly, plug in x = 4 to get y = 7. The dashed line indicates that none of the points on this line are part of the solution set.
Step 2) Draw a dashed line through (0,-1) and (1,1). These two points are on the line y = 2x-1. They are found in a similar fashion as done in step 1.
Step 3) Shade the region that is above both dashed lines. We shade above because of the "greater than" sign. This is shown in the attached image I am providing below. The red shaded region represents all of the possible points that are the solution set. Once again, any point on the dashed line is not in the solution set.