Step-by-step explanation:
3x/2 - 2 > 7
3x/2 > 9
3x > 18
x > 6
for the line graphic below it seems you need to calculate x.
please consider that both angles together must be 180°, as they represent the full rotation area around one point on one side of a line.
8x + (4x + 60) = 180
8x + 4x + 60 = 180
12x = 120
x = 10
Answer:
Step-by-step explanation:
Find the axis of symmetry of the graph of y=x2−6x+5 using the formula.
For a quadratic function in standard form, y=ax2+bx+c , the axis of symmetry is a vertical line x=−b2a .
Here, a=1,b=−6 and c=5 .
Substitute.
x=−−62(1)
Simplify.
x=62 =3
<h3>0.5 inches of hair is grown each month</h3>
<em><u>Solution:</u></em>
Given that,
Bethany cut off 18 inches of her hair
It took her 3 years to grow it back
<em><u>How much did her hair grow each month?</u></em>
From given,
length of hair = 18 inches
Number of years = 3 years
<em><u>Convert to months</u></em>
1 years = 12 months
3 years = 3 x 12 = 36 months
<em><u>Thus, length of hair grown in 1 month is given as:</u></em>
![\text{length of hair grown in 1 month } = \frac{\text{length of hair}}{\text{36 months}}\\\\\text{length of hair grown in 1 month } = \frac{18}{36}\\\\\text{length of hair grown in 1 month } = 0.5](https://tex.z-dn.net/?f=%5Ctext%7Blength%20of%20hair%20grown%20in%201%20month%20%7D%20%3D%20%5Cfrac%7B%5Ctext%7Blength%20of%20hair%7D%7D%7B%5Ctext%7B36%20months%7D%7D%5C%5C%5C%5C%5Ctext%7Blength%20of%20hair%20grown%20in%201%20month%20%7D%20%3D%20%5Cfrac%7B18%7D%7B36%7D%5C%5C%5C%5C%5Ctext%7Blength%20of%20hair%20grown%20in%201%20month%20%7D%20%3D%200.5)
Thus, 0.5 inches of hair is grown each month
Answer:
-2.2y-1.8
Step-by-step explanation:
1.2y+4.5-3.4y-6.3
1.2y-3.4y+4.5-6.3
-2.2y+4.5-6.3
-2.2y-1.8
Direct variation is of the form y=kx, so y/x should be a constant, k...
-8/-2=-16/-4=-24/-6=k=4 so y=kx is:
y=4x