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GenaCL600 [577]
3 years ago
13

if f(x) is a linear function that passes through the points (4,3) and (-4,-9), what is the y-intercept of f(x) ?

Mathematics
1 answer:
zmey [24]3 years ago
3 0
The gradient of the line is calculated as (3 - (-9))/(4 - (-4)) = 1.5

Writing it in point-slope form, you get y-3 = 1.5(x-4)

This gives y = 1.5x - 3 giving a y-intercept of -3.
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The solution to 3x2 – 12x 24 = 0 is
zzz [600]
3x^2 - 12x + 24 = 0 \\ x^2 - 4x + 8 = 0 \\ x= \frac{-b \pm  \sqrt{ b^{2} -4ac} }{2a} 
; where a = 1, b = -4 and c = 8
x= \frac{-(-4) \pm \sqrt{ (-4)^{2} -4 \times 1 \times 8} }{2 \times 1} \\ = \frac{4 \pm \sqrt{ 16 -32} }{2} \\ =\frac{4 \pm \sqrt{ -16} }{2} \\ =\frac{4 \pm 4i }{2} \\ =2+2i \ or \ 2-2i
7 0
3 years ago
Read 2 more answers
The probability that z is greater than -1.8
Lerok [7]

Answer:

0.964

Step-by-step explanation:

It's easier to approach this problem if you find the prob. that z is less than -1.8 and then subtract your result from 1.00.

The prob. that z is less than -1.8 can be found using any calculator with probability and statistic functions.

The prob. that z is less than -1.8 = normcdf(-100,-8) = 0.036.  Here "cdf" stands for "cumulative probability density function)," -100 is far to the left of z = -1.8, and the result (0.036) is the area under the standard normal probability density curve to the left of z = -1.8.

Finally, subtract this 0.036 from 1.000, obtaining 0.964.  This is the probability that z is greater than -1.8.

7 0
3 years ago
On Wednesday, 30 students went to after school tutoring. On Thursday, 6 students went. What is the percent decrease in the numbe
Y_Kistochka [10]
Hmm, I believe the answer is 80%. 
It is a decrease.
30 - 6 = 24. 
24/30 = 80% decrease from Wednesday. 

6 0
3 years ago
Please help!! I'm very confused
Tom [10]

Answer:

b+7

Step-by-step explanation:

To simplify an equation, you combine like terms and remove redundancies. Like terms are 4b and 3b, another pair of like terms are 9 and 2. Let's combine them. 4-3 is 1, so we can make the equation into 1b+9-2. We can simplify that to b+9-2. But wait, we can combine 9 and 2. 9-2 is 7, so the final simplified equation is b+7. I hope this helps!

8 0
3 years ago
What is an equation of the line that passes through the points (-4,-5) and<br> (-8, -2)?
Katena32 [7]

Step-by-step explanation:

first we need to find the slope of the line.

the slope is the ratio of "y coordinate change / x coordinate change" when going from one point to the other.

we see here

x changes by -4 (from -4 to -8).

y changes by +3 (from -5 to -2).

so, the slope is +3/-4 = -3/4

there are two main forms for the equation of a line :

the slope-intercept form

y = ax + b

and the point-slope form

y - y1 = a(x - x1)

where "a" is the slope, and (x1, y1) is a point on the line.

we can pick any point, and I would pick (-4, -5).

so we get as point-slope form

y + 5 = -3/4 × (x + 4)

or for the slope intercept form we simplify the point-slope form

y + 5 = -3/4 x + -3/4 × 4 = -3/4 x - 3

y = -3/4 x - 8

3 0
2 years ago
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