41 dollarsStep-by-step explanation:
6.75 teaspoons
So it takes 0.1875 teaspoon of baking powder to make one muffin. Then you just multiply 0.1875 by 36 and you get 6.75. :)
Answer:
x = - 2.5
Step-by-step explanation:
Given that the sketch represents
y = x² + bx + c
The graph crosses the y- axis at (0 , - 14), thus c = - 14
y = x² + bx - 14
Given the graph crosses the x- axis at (2, 0), then
0 = 2² + 2b - 14
0 = 4 + 2b - 14 = 2b - 10 ( add 10 to both sides )
10 = 2b ( divide both sides by 2 )
b = 5
y = x² + 5x - 14 ← represents the graph
let y = 0 , then
x² + 5x - 14 = 0 ← in standard form
(x + 7)(x - 2) = 0 ← in factored form
Equate each factor to zero and solve for x
x + 7 = 0 ⇒ x = - 7
x - 2 = 0 ⇒ x = 2
The x- intercepts are x = - 7 and x = 2
The vertex lies on the axis of symmetry which is midway between the x- intercepts, thus
the x- coordinate of the turning point is
=
= - 2.5
Answer:
119 square units
Step-by-step explanation:
To find the area of a trapezoid, use this formula: (a+b)/2 * h
Substitute 24, 10, and 7 for a, b, and h, respectively.
((24 + 10)/2) * 7
<em>Step 1: Add 24 and 10 to get 34.</em>
(34/2) * 7
<em>Step 2: Divide 34 by 2 to get 17.</em>
17 * 7
<em>Step 3: Multiply 17 by 7 to get 119</em>
119
The area of this trapezoid is 119 square units.
Answer:
<em>C = 13π ≈ 40.82 units </em>
Step-by-step explanation:
C = 2 r π = d π
AB =
= 13 units
<em>C = 13π ≈ 40.82 units</em> ( π ≈ 3.14 )