Answer:
These parallel lines cross 1 line. Because they are parallel they will form the same angles on that line. Therefore, x+50 = 3x-100 since those angles are corresponding angles made by a pair of parallels.
To find x we need to find what value of x gives the same answer for 3x-100 and x+50 since those 2 angles are equal.
x+50 = 3x-100 - now all we need to do is solve for x:
x+50 = 3x-100
50=2x-100
150=2x
75=x
x=75
Step-by-step explanation:
x² + 2x + 2
Step-by-step explanation:
(F + G)(x)
= F(x) + G(x)
= 2x + x² + 2
= x² + 2x + 2
Answer:
y=1x+11
Step-by-step explanation:
1. Find the slope of the given points
2. Pick any point to find the y-intercept
(3, 14)
x=3, y=14, m=1
3. Substitute
y=mx+b
14=1(3)+b
14=3+b
14-3=b
11=b
4. Write the linear function rule
y=mx+b
y=1x+11
From the given function modeling the height of the ball:
f(x)=-0.2x^2+1.4x+7
A] The maximum height of the ball will be given by:
At max height f'(x)=0
from f(x),
f'(x)=-0.4x+1.4
solving for x we get:
-0.4x=-1.4
x=3.5ft
thus the maximum height would be:
f(3.5)=-0.2(3.5)^2+1.4(3.5)+7
f(3.5)=9.45 ft
b]
How far from where the ball was thrown did this occur:
from (a), we see that at maximum height f'(x)=0
f'(x)=-0.4x+1.4
solving for x we get:
-0.4x=-1.4
x=3.5ft
This implies that it occurred 3.5 ft from where the ball was thrown.
c] How far does the ball travel horizontally?
f(x)=-0.2x^2+1.4x+7
evaluationg the expression when f(x)=0 we get:
0=-0.2x^2+1.4x+7
Using quadratic equation formula:
x=-3.37386 or x=10.3739
We leave out the negative and take the positive answer. Hence the answer 10.3739 ft horizontally.
<h3>multiply 60 by 1/4 to get the amount spent on notebooks</h3>
<h3>60 × ¼</h3>
<h3>= 15</h3>
<h3>next subtract 60 by 15 to get the amount Tamera has to spend for her other school supplies</h3>
<h3>60 - 15 = 45</h3>
<h3>your answer should be $ 45.00</h3>
hope that helps and plss let me know if you have any related questions :))
