Answer:
Correct choice is 2. 
Step-by-step explanation:
We have been given a graph of the quadratic function. Now we need to use that graph to find the equation of the graph in vertex form. By the way given choices written in intercept form so to be accurate we are going to find the equation in intercept form.
from graph we see that x-intercepts are at 5 and -2.
we know that if x=a is x-intercept then (x-a) must be factor.
So (x+2)(x-5) is the factor.
when leading coefficient is positive then graph opens upward.
so that means leading coefficient is 0.4
Hence correct choice is 2.
The value of x is 4.
Given that diagonals of a rectangle measure x+5 feet and 2x+1 feet as shown in the attached figure.
The diagonal of a rectangle is a line or straight line that connects the opposite corners or vertices of the rectangle.
In the given figure ABCD is a rectangle.
OA=2x+1 and OD=x+5 [Given]
AC and BD are diagonals of a rectangle.
As we know that the diagonals of a rectangle are always equal.
So, AC = BD
We can also write it as,
2×OA=2×OD
2×(2x+1) =2×(x+5)
Apply the distributive property a(b+c)=ab+ac, we get
4x+2=2x+10
Subtract 2x from both sides, we get
4x+2-2x=2x+10-2x
2x+2=10
Subtract 2 from both sides, we get
2x+2-2=10-2
2x=8
Divide both sides by 2, we get
2x/x=8/2
x=4
Hence, the value of x=4 when diagonals of a rectangle measure x+5 feet and 2x+1 feet.
Learn more about rectangles from here brainly.com/question/1549055.
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For this case we have the following equation:
The variables are:
t: time in hours
d (t): distance traveled in miles.
We evaluate the distance traveled after 4 hours.
So we have that for t = 4:
Answer:
d (4) = 68
This means that after 4 hours Joanna cycled for 68 miles total
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Answer:
The most they can print is 800
Step-by-step explanation:
.5 N + 2.5M ≤ 6000
We are given N = 8000
Substitute this into the inequality
.5 (8000) + 2.5M ≤ 6000
4000 +2.5M≤ 6000
Subtract 4000 from each side
4000-4000 +2.5M≤ 6000 -4000
2.5M≤ 2000
Divide each side by 2.5
2.5M/2.5≤ 2000/2.5
M ≤800
