Answer:
13
Step-by-step explanation:
p% = p 'out of one hundred',
p% is read p 'percent',
p% = p/100 = p ÷ 100.
44% = 44/100 = 44 ÷ 100 = 0.44.
100% = 100/100 = 100 ÷ 100 = 1.
Decrease number by 44% of its value.
Percentage decrease = 44% × 13
New value = 13 - Percentage decrease
2x - 4y + 1z = 11 ⇒ 2x - 4y + 1z = 11
1x + 2y + 3z = 9 ⇒ <u>1x + 2y + 3z = 9</u>
3x + 5z = 12 1x - 2y - 2z = 2
1x - 2y - 2z = 2
2x - 4y + 1z = 11 <u>-2x + 2y - 2z = -3</u>
1x + 2y + 3z = 9 ⇒ 1x + 2y + 3z = 9 x - 4z = 1
3x + 5z = 12 ⇒ <u>3x + 5z = 12</u> x - 4z + 4z = 1 + 4z
-2x + 2y - 2z = -3 x = 1 + 4z
<u /> 1 + 4z - 2y - 2z = 2<u />
1 - 2y + 4z - 2z = 2
1 - 2y + 2z = 2
<u>- 1 - 1</u>
-2y + 2z = 1
-2y + 2z - 2z = 1 - 2z
<u>-2y</u> = <u>1 - 2z</u>
-2 -2
y = -0.5 + z
x + 2(-0.5 + z) - 2z = 2
x - 1 + z - 2z + 2 = 2
x - 1 + z = 2
<u> + 1 + 1</u>
x + z = 3
x - x + z = 3 - x
z = 3 - x
<u />
X = the number of months the tire was used
y = the thickness of the tire tread
y = -(3/7)x + 20
Substitute x for 20 (the number of months the tire was used) and solve for y.
The next question: Substitute x for 49 (the number of months the tire was used) and solve for y.
Answer:
Reflection across y axis
Translate up by 3 units
Step-by-step explanation:
Given
Required
Describe the transformation from f(x) to g(x)
First, take a reflection of f(x) across the y axis.
So f(x) becomes f(-x)
when reflected
Next, translate f(-x) up by 3 units to give g(x)
Where
Hence, the transformation from f(x) to g(x) includes:
Reflection across y axis
Translate up by 3 units
Answer:
10
Step-by-step explanation:
10
