Answer:
x=3
Step-by-step explanation:
1/2(2-4x)+2x=13
1-2x+2x=13
4x=13-1
x=12/4
x=3
Answer:
Option A) Bethany is correct because consecutive odd integers will each have a difference of two
Step-by-step explanation:
The sum of 3 consecutive odd integers is 91. Let the first odd integer is x. The next odd integer will be obtained by adding 2 in x i.e. (x + 2). The third odd integer will be obtained by adding 2 in the second odd integer i.e. (x + 2) + 2 = x + 4
So, the 3 odd integers will be:
x , (x+2) and (x+4)
Their sum is given to be 91. So we can write:
x + (x+2) + (x+4) = 91
Hence, we can conclude that: Bethany is correct because consecutive odd integers will each have a difference of two.
Other options are not correct because consecutive odd integers always increase by 2. For example, the next odd integer after 1 is 3, which is obtained by adding two, similarly the next odd will be 5 and so on.
The formula that describes this function is c = 50t
<h3>What is an
equation?</h3>
An equation is an expression that shows the relationship between two or more variables and numbers.
Let c represent the distance travelled at time t.
The cities are 200 miles apart and constant speed of 50mph, hence:
50 = c/t
c = 50t
The formula that describes this function is c = 50t
Find out more on equation at: brainly.com/question/2972832
Answer:
4 m
Step-by-step explanation:
The equation can be written ...
y = (x/4)² = (1/16)x²
where the divisor 4 is the horizontal scale factor that makes the parabola 8 m wide at y = 1 m.
This can also be written as ...
y = 1/(4p)x² = (1/16)x²
from which we can see ...
4p = 16
p = 4
In this form, p is the distance from the vertex to the focus, 4 meters.
_____
Another way to find the y-coordinate of the focus is to draw a line with slope 1/2 through the vertex. It will intersect the parabola at the point where the vertical distance to the directrix is the same as the horizontal distance to the focus. The y-coordinate of that point is the y-coordinate of the focus.
<span>b. true. the spread of a normal distribution is completely determined by its standard deviation.
A normal distribution is defined by 2 values, its mean and it's standard distribution. The standard distribution determines what the shape of the curve looks like. A small distribution causes the curve to be tall and skinny. A large distribution causes the curve to be short and fat. The overall shape is entirely determine by the standard deviation. The exact location of the peak is determined by the mean. So let's look at the options and see why they're right or wrong.
a. false. the spread of a normal distribution is completely determined by its mean.
* This is exactly wrong. The mean determines where the peak is, the shape is determined by the standard distribution.
b. true. the spread of a normal distribution is completely determined by its standard deviation.
* This is absolutely correct.
c. true. the spread of a normal distribution is completely determined by its median.
* Once again, it's swapping the meaning between mean and standard distribution.
d. false. the spread of a normal distribution is determined by both its mean and standard deviation.
* This is a bit of weasel wording here. But remember, the SHAPE is determined by the standard distribution while the location of the peak is determined by the mean.</span>
