The graph<span> is shifted down k k units. Vertical Shift: Down 3 3 Units. The sign of a a</span>describes<span> the reflection across the </span>x<span>-axis. −a - a means the </span>graph<span> is reflected across the </span>x<span>-axis. Reflection about the </span>x<span>-axis: None. The value of a a </span>describes<span> the vertical stretch or compression of the</span>graph. a>1<span> a > </span><span>1</span>
Answer:
9 socks for $8
3 socks at $15
Step-by-step explanation:
117 = (15 * x) + (8 * y)
8*9 = 72
15 * 3 = 45
72+ 45 = 117
9 socks at $8
3 socks at $15
Answer: 6/15 (2/5)
Step-by-step explanation: Since the problem says 3/5 of the recipe, you have to multiply. 'Of' means to multiply. Multiply both of the fractions across, first the numerators, then the denominators. You will get 6 as your numerator and 15 as your denominator. Reduce the fraction by 3, and your final simplified answer is 2/5.
Hope this helps!
The volume of a cuboid is = length × width × height.
Let the width of Olivia's lunch box be 'x'.
Hence the length of Olivia's lunch box shall be 'x + 2'
Also the height of the box is given as 3 inches.
The volume of the box is 240 in³
Substituting in the formula we get

Dividing by 3 on both sides

Exapnding we get

Subtracting 80 from both sides

Factoring

We get
x= -10 or x = 8
But x cannot be negative
So x = 8
Hence the width of the box is 8 inches.
Answer:
Option A) 0.0074
Step-by-step explanation:
We are given the following in the question:
Population mean, μ = 110
Sample mean,
= 20
Sample size, n = 100
Alpha, α = 0.05
Population standard deviation, σ = 115.35
First, we design the null and the alternate hypothesis
We use two-tailed z test to perform this hypothesis.
Formula:
Putting all the values, we have

Now, we calculate the p-value from the standard normal table.
P-value = 0.0074
Thus, the correct answer is
Option A) 0.0074