4y+3>35
-3 -3
4y > 32
4 4
y>8
Answer:
Step-by-step explanation:
Angle <em>ABP</em> and angle <em>MAB</em> are corresponding angles.
Corresponding angles are equal.
Angle <em>ABP</em> = 50 degrees
Angle <em>CBP</em> and angle <em>BCQ</em> are corresponding angles.
Corresponding angles are equal.
Angle <em>CBP</em> = 20 degrees
Angle <em>ABC</em> is the sum of angles <em>CBP</em> and <em>ABP.</em>
Answer:
(5, 2 ) and (- 1, 8 )
Step-by-step explanation:
Given the equations
y = - x + 7 → (1)
y = 0.5(x - 3)²
= 0.5(x² - 6x + 9)
y = 0.5x² - 3x + 4.5 → (2)
Substitute y = - x + 7 into (2)
- x + 7 = 0.5x² - 3x + 4.5 ( subtract - x + 7 from both sides )
0 = 0.5x² - 2x - 2.5 ( multiply through by 2 ) , then
x² - 4x - 5 = 0 ← in standard form
(x - 5)(x + 1) = 0 ← in factored form
Equate each factor to zero and solve for x
x - 5 = 0 ⇒ x = 5
x + 1 = 0 ⇒ x = - 1
Substitute these values into (1) for corresponding values of y
x = 5 : y = - 5 + 7 = 2 ⇒ (5, 2 )
x = - 1 : y = -(- 1) + 7 = 1 + 7 = 8 ⇒ (- 1, 8 )
Add the fractions together to find the portion who like basketball, soccer and football.
=1/3 + 1/8 + 5/12
need a common denominator (24)
=8/24 + 3/24 + 10/24
=21/24
simplify by 3
=7/8 like basketball, football & soccer
7/8 is the total for basketball, soccer and football. If 8/8 represents the whole class, then subtract 7/8 from 8/8 to find the number who like baseball.
=8/8 - 7/8
=1/8 of the remainder likes baseball
ANSWER: 1/8 of the students like baseball
Hope this helps! :)
1,578 miles
I searched it up and it was correct
