Answer:
The answer to your question is the third histogram
Step-by-step explanation:
What we must check in a histogram is that the x-axis is represented the intervals and in the y-axis is represented the frequency.
The first histogram is incorrect just by observing the first bar, we notice that the correct frequency from 0 to 4 is 3, not 14. This histogram is incorrect.
Also, the second histogram is incorrect, the frequency of the first category is 3, not 12. This histogram is wrong.
The third histogram is correct because all the bars are in agreement with their frequencies.
The last histogram is incorrect, for example, the last frequency is 12, not 3.
Answer with explanation:
- An algebraic expression having one term is known as a monomial.
- An algebraic expression having two terms is known as binomial.
- An algebraic expression having three terms is known as trinomial.
- Numerical coefficient - Number written before variable in each term.
- Constant - term with no variable ( only number).
Let's check the given expressions :
Type - Monomial ( having one term)
Coefficient of 
= 3
Constant =0
Type - Monomial ( having one term)
Coefficient of 
= 5
Constant =0
Type - trinomial ( having 3 terms)
Coefficient of = 2
Coefficient of 
Constant = -8
Step-by-step explanation:
48{x}^{2} {y}^{2} {z}^{2}
Answer:
Sean's rocket lands 3 seconds after Kiara's rocket.
Step-by-step explanation:
Kiara: f(t)= -16t² + 80t
Sean: h(t) = -16t² + 120t + 64
Assume that both rockets launch at the same time. We need to be suspicious of Sean's rocket launch. His equation for height has "+64" at the end, whereas Kiara's has no such term. The +64 is the starting height iof Sean's rocket. So Kiara has a 64 foot disadvantage from the start. But if it is a race to the ground, then the 64 feet may be a disadvantage. [Turn the rocket upside down, in that case. :) ]
We want the time, t, at which f(t) and h(t) are both equal to 0 (ground). So we can set both equation to 0 and calculate t:
Kiara: f(t)= -16t² + 80t
0 = -16t² + 80t
Use the quadratic equation or solve by factoring. I'll factor:
0 = -16t(t - 5)
T can either be 0 or 5
We'll choose 5. Kiara's rocket lands in 5 seconds.
Sean: h(t) = -16t² + 120t + 64
0= -16t² + 120t + 64
We can also factor this equation (or solve with the quadratic equation):
0 = -8(t-8)(2t+1)
T can be 8 or -(1/2) seconds. We'll use 8 seconds. Sean's rocket lands in 8 seconds.
Sean's rocket lands 3 seconds after Kiara's rocket.
Answer:
It is a vertical line at x = 0
Step-by-step explanation:
An equation of a line in a slope-intercept form is y=mx+b
So with the coordinates given, we must find the slope (m), and the y-intercept (b).
In order to find the slope using these coordinates,
we have to use the formula (y2-y1)/(x2-x2).
So the slope would be -3 - 4 / 0.
Because the denominator is 0, the slope would be undefined.
It is easier to see the equation/graph by graphing the coordinates on the coordinate plane. You will see that it is a straight vertical line down x=0.
