First find the slope of f(x).
m=(y2-y1)/(x2-x1)
m=(1-5)/(2-0)
m=-4/2
m=-2
y=-2x+b, using (2,1) we can solve for the y-intercept, "b"
1=-2(2)+b
1=-4+b
5=b
y=-2x+5
So f(x) has a y-intercept of 5
g(x)=6m+3
So g(x) has a y-intercept of 3
h(x)=3x+4
So h(x) has a y-intercept of 4
Then g(x) has the lowest y-intercept of just 3.
Answer:
Step-by-step explanation:
A rectangular prism is a polyhedron with six rectangular faces. The volume of a prism is given by:
Volume = width * height * length
From the diagram, the rectangular prism is made up of cubes. Each cube is has a size of 1/3 ft by 1/3 ft.
The height of the prism is made up of 5 cubes. Height = 5 * 1/3 = 5/3 ft.
The length of the prism is made up of 3 cubes. length = 3 * 1/3 = 1 ft.
The width of the prism is made up of 2 cubes. Width = 2 * 1/3 = 2/3 ft.
The volume of the prism = width * height * length = 2/3 * 5/3 * 1 = 10/9 ft³ =
Answer:
0.58 or 58%
Step-by-step explanation:
If the highest probability is 1, and you already have 0.42, you have to find what is left, so our equation is:
1 - 0.41 = 0.58
So the probability of getting a head is 0.58 or 58%
Answer:
The chart below shows Mrs. Thompson's grocery bill. What is the average amount Mrs. Thompson spent on groceries?
A. $58
B. $68
C. $78
D. $340
Answer:
Step-by-step explanation:
<u> m∠SQT is substituted by 180° at step 5</u>
- 4 m∠SQV + m∠VQT = m∠SQT Angle Addition Postulate
- 5 m∠SQV + m∠VQT = 180° Substitution Property of Equality
- 6 m∠VQT + m∠ZRS = 180° Same-Side Interior Angles Theorem
