Your second equation has 2 x-intercepts because its curve goes beneath the x-axis, meaning it crosses the x-axis twice. Your first equation has only one x intercept because its vertex touches the x-axis. The transformation that occurred was a vertical shift downwards, (since the image function has that little -7 at the end : ) )
Answer:
<u>6% sales tax</u>
Step-by-step explanation:
48 / 800 = x / 100
What did you do to turn 800 into 100? Divide by 8.
Since we divided the denominator by 8, we also divide the numerator by 8.
48 / 8 = 6
<u>6% sales tax</u>
Answer:
14 cm
Step-by-step explanation:
Use the formula for the area of a square, a = s², where s is the side length of the square.
Plug in 196 as the area, then solve for s.
a = s²
196 = s²
14 = s
So, the length of the pathway is 14 cm
Answer:
Answer: the 5-pound bag for $2.75 has the lowest price per pound.
Step-by-step explanation:
At the grocery store, she sees a 10-pound bag of potato for $5.90. It means that the cost per pound of potato is
5.9/10 = $0.59
She a 5-pound bag for $2.75. It means that the cost per pound of potato is
2.75/5 = $0.55
She sees a 11/2 pound bag for $0.99. It means that the cost per pound of potato is
5.5/0.99 = $5.56
Therefore, the 5-pound bag for $2.75 has the lowest price per pound.
Step-by-step explanation:
Given:
Right triangular prism
To find:
The surface area of the right triangular prism
Solution:
<u>Using nets of the prism:</u>
Area of large rectangle = length × width
= 7 × 5
Area of large rectangle = 35 square units
Area of middle rectangle = length × width
= 7 × 4
Area of middle rectangle = 28 square units
Area of small rectangle = length × width
= 7 × 3
Area of small rectangle = 21 square units
Area of top triangle =
Area of top triangle = 6 square units
Area of bottom triangle =
Area of bottom triangle = 6 square units
Total surface area = 35 + 28 + 21 + 6 + 6
= 96 square units
The surface area of the right triangular prism is 96 square units.