We can use the Front Outside Inside Last (FOIL) method to expand the double bracket

Front ⇒

Outside ⇒

Inside ⇒

Last ⇒

Put the four terms together we have

, then collect like terms
Answer:
See explanations below
Explanation:
Vertex of a graph is the lowest point on the curve. The vertex occurs at (1.75, -2.5)
The axis of symmetry is the point on the x axis of the line that cuts through the minimum point. The axis of symmetry occurs at x = 1.75
x intercept is the point where the curve cuts the x axis. The x intercept occurs at x = 0 and x = 2.5
To get the minimum, we will use the formula;
c - b^2/4a
The equation of the curve is expressed as;
(x-0)(x-2.5)
= x (x-2.5)
= x^2 - 2.5x
a = 1, b = -2.5, c = 0
minimum = 0 - (-2.5)^2/4(1)
minimum = -6.25/4
minimum = -1.5625
Minimum value occurs at the base of the parabola. The minimum value of the function is -2.5
y intercept is the point where the curve cuts the y axis. The y-intercept occurs at y = 0.
Answer:
52% are girls
Step-by-step explanation:
We know that there are 650 sixth-graders and 338 of them are girls, we are then asked to find the percentage of how many are girls.
We have the fraction 338 over 650 but need to reduce it.
To solve this, we need to find the GCF of 650 and 338, which is 26, so divide both the numerator and denominator by 26.


Now divide the 13 and 25 :
13 / 25 = 0.52
0.52 * 100 = 52%
Therefore, 52% of the sixth-graders in the school are girls
Answer:
60
Step-by-step explanation:
140 = 80 + z
z = 60
Answer:
<u>56.5 ft</u>
Step-by-step explanation:
See the attached figure which represents the explanation of the problem.
We need to find the length of the tree to which is the length of AD
From the graph ∠BAC = 90° and ∠ABD = 76°, AB = 18 ft
At ΔABD:
∠BAD = ∠BAC - ∠DAC = 90° - 4° = 86°
∠ADB = 180° - ( ∠BAD + ∠ABD) = 180 - (86+76) = 180 - 162 = 18°
Apply the sine rule at ΔABD
∴
∴ 18/sin 18 = AD/sin 76
∴ AD = 18 * (sin 76)/(sin 18) ≈ 56.5 (to the nearest tenth of a foot)
So, The length of the tree = 56.5 ft.
<u>The answer is 56.5 ft</u>