Identify a horizontal or vertical stretch or compression of the function by observing the equation of the function .
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the slope is negative
B.
the slope is zero
C.
the slope is positive
D.
the line has no slope
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Answer:
the line has no slope
Step-by-step explanation:
b. 63.5 m
c. 82.1 m
d. 127.0 m
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Informtion needed:
Acceleration due to gravity = 9.81m/s^2
Formula:
Hmax = ((V^2)(sin(angle))^2)/2g
Hmax = ((50^2)(sin45)^2)/(2*9.81) = 63.71 or letter B 63.5 m is the closest answer.
Equation 2: 4m = 4 + 4n
Step 1: −4(m) = −4(8 + 2n) [Equation 1 is multiplied by −4.]
4m = 4 + 4n [Equation 2]
Step 2: −4m = −32 − 8n [Equation 1 in Step 1 is simplified.]
4m = 4 + 4n [Equation 2]
Step 3: −4m + 4m = −32 − 8n + 4n [Equations in Step 2 are added.]
Step 4: 0 = −32 − 4n
Step 5: n = −8
In which step did the student first make an error?
Step 1
Step 2
Step 3
Step 4
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Final answer:
A t-chart representing the y = |5x| shows pairs of x and y values, where y is the absolute value of 5 times x. Whether x is negative or positive, y is always positive, demonstrating the dependence of y on x in the total value context.
Explanation:
The absolute value equation given is y = |5x|. A t-chart representing this equation would list several values of x against their corresponding y values, where y is the absolute value of 5 times x. For instance, for x = -1, y = |-5| = 5; for x = 0, y = |0| = 0; for x = 1, y = |5| = 5. Thus, the t-chart should show that, regardless of whether x is negative or positive, y is always positive, given the nature of absolute value.
Here's an example of what the t-chart could look like:
- (-1, 5)
- (0, 0)
- (1, 5)
The dependence of y on x in this scenario is such that y increases linearly as the absolute value of x increases.
Learn more about t-chart here:
#SPJ2
Answer: Choice C
=============================================
Explanation:
Choices A, B and D are not true because of the negative y values. The result of an absolute value is never negative. So we can rule out choices A, B, and D. We have choice C as the only thing left, so this must be the answer.
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Another way to see this is by plugging in each x value to see what y value comes out.
- If x = -2, then y = |5*x| = |5*(-2)| = |-10| = 10
- If x = -1, then y = |5*x| = |5*(-1)| = |-5| = 5
- If x = 0, then y = |5*x| = |5*0| = |0| = 0
- If x = 1, then y = |5*x| = |5*1| = |5| = 5
- If x = 2, then y = |5*x| = |5*2| = |10| = 10
The y outputs from top to bottom are: 10, 5, 0, 5, 10
This matches with what choice C shows.
$1.75 + $0.25x ≥ $15; x ≥ 53 miles
$0.25 + $1.75x ≤ $15; x ≤ 8 miles
$0.25 + $1.75x ≥ $15; x ≥ 8 miles
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sorry, i could not put in the or equal to signs
3 pts
Select the three equations that are also equivalent to 0.5 +10b+4= 19.5
A. 106 +4= 19.5
B. 10b +4=19
C. 2(0.5 +10b+ 4) = 39
D. 10b= 19.5
E. 10b= 15
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Answer:
Equation (B) and (C) are equal to 0.5+10b+4=19.5
As in equation (B) when we take the 0.5 on the other side, the sign will change.Then the equation will be 10b+4=19.5-0.5
Which equals : 10b+4=19
In equation (C) 2(0.5+10b+4)=39
The 2 which is being multiplied to the bracket equation will be canceled out when we divide it , and will be divided on the other side as well so 39÷2=19.5
So the equation will become 0.5+10b+4=19.5