Answer:
4x - 5y - 9 = 0
Step-by-step explanation:
The equation of a straight line passing through the points (-4,-5) and (1,-1) is given by
⇒
⇒ 5y + 25 = 4x + 16
⇒ 4x - 5y - 9 = 0 ....(1) (Answer)
Now, this above equation can be represented as
Therefore, the x-intercept is (Answer)
And the y-intercept is . (Answer)
The transformations are vertical translation 7 units up.horizontal translation 3 units to the left
We have given that the equations
let f(x)=x^2 and g(x)=(x-3)^2+7
We have to determine the correct transformation,
<h3>What is the vertical translation?</h3>
Vertically translating a graph is equivalent to shifting the base graph up or down in the direction of the y-axis. A graph is translated to k units vertically by moving each point on the graph k units vertically.
Notice that the addition of 2 units to the variable x in the exponent involves a horizontal shift to the left in 2 units.
Notice as well that subtraction of 4 units to the functional expression involves a vertical shift downwards in 4 units.
To learn more about the transformation visit:
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Answer:
81.8%
Step-by-step explanation:
Mean =
Standard deviation =
Now we are supposed to find out what percent of the numbers fall between 35 and 50
Substitute the values
Now for P(35<x<50)
Substitute x = 35
Substitute x = 50
So, P(-1<z<2)
P(z<2)-P(z<-1)
=0.9772-0.1587
=0.8185
=
=81.8%
Hence 81.8% percent of the numbers fall between 35 and 50
Step-by-step explanation:
24÷(45÷25)= 21
x=21
Hope this helped!
3 5/9 divided by -2 2/3
change the mixed numbers to improper fractions
3 5/9 = (9*3+5)/9 = 32/9
-2 2/3 = -(3*2+2)/3 = -8/3
32/9 divided by -8/3
copy dot flip
32/9 * -3/8
-96/72
divide top and bottom by 24
-4/3
=-1 1/3
Answer: - 1 1/3