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sweet-ann [11.9K]
3 years ago
7

This parabola can be modeled by the quadratic function y = 0.00012x2 + 6, where x represents the distance form the axis of symme

try and y represents the height of the cables.  The related quadratic equation is 0.00012x2 +6 = 0.
Calculate the value of the discriminant.

a.
-0.00056
c.
-0.00126
b.
-0.00288
d.
-0.00078
Mathematics
1 answer:
kicyunya [14]3 years ago
8 0
The discriminant,

\Delta=b^2-4ac

From, 

ax^2+bx+c=0

So,

\Delta=-4(0.00012)6=-0.00288
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How many feet are in 100 inches? Write your answer two ways: in feet and inches and in feet only
jolli1 [7]

Answer: 8 ft and 4 in, 8 1/3 ft

Step-by-step explanation:

100/12=50/6=25/3=8.3333333...

1/3 of a foot is 1/3x12 which is 12/3 which is 4 in.

3 0
4 years ago
Mrs. Jackson gives the table below to her students. In order for the function to be linear, what must a be and why? a = 22 becau
evablogger [386]

Answer:

It's D (a = 20 because the rate of change is –3.)

Step-by-step explanation:

I did the test and that was the correct answer

3 0
4 years ago
Read 2 more answers
Find the equation of the line shown.
Luda [366]

Answer:

y = -x + 9

Step-by-step explanation:

✔️Find the slope using (9, 0) and (7, 2):

slope (m) = \frac{y_2 - y_1}{x_2 - x_1} = \frac{2 - 0}{7 - 9} = \frac{2}{-2} = -1

Slope (m) = -1

✔️Find the y-intercept (b):

The line intercepts the y-axis when y = 9. Therefore, y-intercept (b) = 9

✔️Substitute m = -1 and b = 9 into y = mx + b

Thus,

y = -1(x) + 9

y = -x + 9

5 0
3 years ago
Find f(x) and g(x) so that the function can be described as y = f(g(x)).<br><br> y = 4/x^2+9
dlinn [17]

I'm assuming all of (x^2+9) is in the denominator. If that assumption is correct, then,

One possible answer is f(x) = \frac{4}{x},  \ \ g(x) = x^2+9

Another possible answer is f(x) = \frac{4}{x+9}, \ \ g(x) = x^2

There are many ways to do this. The idea is that when we have f( g(x) ), we basically replace every x in f(x) with g(x)

So in the first example above, we would have

f(x) = \frac{4}{x}\\\\f( g(x) ) = \frac{4}{g(x)}\\\\f( g(x) ) = \frac{4}{x^2+9}

In that third step, g(x) was replaced with x^2+9 since g(x) = x^2+9.

Similar steps will happen with the second example as well (when g(x) = x^2)

4 0
3 years ago
The ratio of teachers needs to be 1:30. If there were 120 students, how many teachers would be needed?
mezya [45]

Answer:

4:120

Step-by-step explanation:

for 120 student they would be 4 teacher needed per 30 student

4:120

4 0
3 years ago
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