Answer: y = 3x + 1
<u>Step-by-step explanation:</u>
The equation is in Slope-Intercept format: y = mx + b where
- m is the slope <em>(difference in y's over difference in x's)</em>
- b is the y-intercept <em>(value of y when x = 0)</em>
b = 1 <em>refer to the table that shows y = 1 when x = 0</em>
Now input m = 3 and b = 1 into the Slope-Intercept formula:
y = 3x + 1
Answer:
New price of the ball after discount = $16.65
Step-by-step explanation:
Selling price of the soccer ball = $45
Discount labeled on the ball = 63% off
Therefore, selling price after the discount = Original selling price - %discount
= $45 - (63% of $45)
= $45 - $28.35
= $16.65
New price of the ball after discount = $16.65
Answer:
x ≥ -5
Step-by-step explanation:
If we have a translation to left c units, we write " x + c " in the function, and
If we have a translation to right c units, we write " x - c" in the function
If we have vertical translation up b units, we "add b to the function", and
If we have vertical translation down b units, we "subtract b to the function"
The parent function is 
Since translation left 5 units and up 3 units, we can write:
The domain is affected by the square root sign and we know the number under the square root CANNOT be negative, so we can say:
x + 5 ≥ 0
x ≥ -5
This is the domain.
Answer:
18.87 square cm.
Step-by-step explanation:
The area of the rectangle will be (4 + 4) * 4, since the length of the rectangle would be the diameter of the circle, and the width of the rectangle would be the radius. (4 + 4) * 4 = 8 * 4 = 32 square cm.
Then, we can calculate the area of the semicircle. The area of a circle is pi * r^2, so the area of a semicircle will be half of that. pi * (4^2) / 2 = pi * 16 / 2 = 8pi. 8 * 3.14159265 = 25.1327412 square cm.
The shaded area of the middle of the shape will then be 32 - 25.1327412 = 6.8672588 square cm.
The two triangles will have the same area. Their bases will be 14 minus the diameter of the circle, then divide that by 2 to get each separate base. 14 - 8 = 6 / 2 = 3. The heights of the triangles will be the radius of the circle, or 4 cm.
1/2 * 3 * 4 = 1/2 * 12 = 12/2 = 6. That is the area of one triangle, so the area of both triangles would be 6 * 2 = 12 square cm.
6.8672588 + 12 = 18.8672588, or 18.87 square cm.
Hope this helps!
