Answer:
12 people like to watch football
Step-by-step explanation:
The results are that 98 like to watch basketball, 12 like to watch football, and 2 dislike both.
Total number of residents = 100
Basketball (B) = 98
Football(F) = 12
Number of residents that like basketball and football = ( B ∩ F)
2 dislike both
n ( B ∪ F) - People that dislike it = n(B) + n ( F ) - n ( B ∩ F)
100 - 2 = 98 + 12 - n ( B ∩ F)
98 = 110 - n ( B ∩ F)
n ( B ∩ F) = 110 - 98
= 12
Therefore, 12 people like both Football and Basketball
How many like to watch football?
From the above question, we can see that the total number of people that like to watch football = 12 people
Answer:
Step-by-step explanation:
basically, what they are asking you is to factor and then plug in the values (x=3; x=4) that they gave you.
first, you need to factor out the equation.
start with the original equation.
V=4x^3+10x^2+4x
factored form:
V= 2x(2x^2+5x+2)
next, you're going to want to plug in the values.
the answer asks for x=4, but you should do both.
v=2(3)(2(3)^2+5(3)+2)
do not forget to do the exponents before!
v=6(18+15+2)
v=6(35)
v=210 ft^2
that's the answer for if x was equal to 3.
V= 2x(2x^2+5x+2)
<em>don't forget to write the original equation first. </em>
V=2(4)(2(4)^2+5(4)+2)
<em>V=8(36+20+2)</em>
<h2>
<u><em>V=464 ft^2 </em></u></h2>
⬆is your answer! hope this helped!!
∠DCB = 128° and ∠ECD = 52°
Answer:
2. y = -1/2x - 1
Step-by-step explanation:
First we want to find the slope of the line.
To find the slope of the line, we use the slope formula: (y₂ - y₁) / (x₂ - x₁)
Plug in these values using two points (-4, 1) & (2, -2)
(-2 - 1) / (2 - (-4))
Simplify the parentheses.
= (-2 - 1) / (2 + 4)
= (-3) / (6)
Simplify the fraction.
-3/6
= -1/2
This is your slope. Plug this value into the standard slope-intercept equation of y = mx + b.
y = -1/2x + b
b is the y-intercept when the line crosses the y-axis.
From the graph, we can see that the point on the y-axis is (0, -1)
Therefore, b is -1.
Plug this into the equation.
y = -1/2x - 1
Hope this helps!
