Answer:
speed is 240 miles per hour
Step-by-step explanation:
Answer:
The given equation will have value less than 100 whenever the value of b is greater than 12.89
Step-by-step explanation:
For the given equation, p(b) = 520 ×
to have a value less than 100 we can establish inequality as:
p(b) < 100
or, 520 ×
< 100
or,
×
< 
or,
< 
or, ㏒ (
) < ㏒ (
)
or, b× ㏒ 0.88 < ㏒ (
)
or,
< b
or, 12.89 < b
Hence for the equation to have value less than 100, b must be greater than 12.89.
Answer:
Step-by-step explanation:
The table shows a set of x and y values, thus showing a set of points we can use to find the equation.
1) First, find the slope by using two points and substituting their x and y values into the slope formula,
. I chose (-3, 13) and (0,17), but any two points from the table will work. Use them for the formula like so:

Thus, the slope is
.
2) Next, identify the y-intercept. The y-intercept is where the line hits the y-axis. All points on the y-axis have a x value of 0. Thus, (0,17) must be the y-intercept of the line.
3) Finally, write an equation in slope-intercept form, or
format. Substitute the
and
for real values.
The
represents the slope of the equation, so substitute it for
. The
represents the y-value of the y-intercept, so substitute it for 17. This will give the following answer and equation:

Answer:
<h2>x³ + x² - 3x - 3</h2>
Step-by-step explanation:
I'm assuming g*f means g times f, so you want to multiply the two functions together.
(x² - 3)(x + 1) Since the product is 2 binomials, use FOIL
= x²(x) + x²(1) - 3(x) - 3(1)
which simplifies to
<h2>x³ + x² - 3x - 3</h2>
Draw the tape diagram: a long rectangle and divide it into 4 squares in a row.The whole rectangle represents 24 (as a whole number), you're dividing it into 4 parts because you want to know what is 1/4 of it.Now, to find the value of each square: 24:4 = 6.Put the number 6 in each square, and you have found your result.1/4 of 24 is 6.