Answer:
10(3)^x
Step-by-step explanation:
The function contains the points (2,90) and (4,810). Use the general form y=abx to write two equations:
90=ab^2 and 810=ab^4
Solve each equation for a:
a=90/b^2 and a=810/b^4
Since a=a, set the other sides of the equations equal and solve for b.
90/b2=810/b4
Cross multiply, then divide and simplify as follows:
90b^4=810b^2
b^4/b^2=810/90
b^2=90
b^3
Now, use the value of b and the point (2,90) to find the value of a.
90=a(3^2)
a=10
So, substitute answers in original equation for a final answer of f(x)=10(3)^x.
Answer:
x= 1 , y=4
Step-by-step explanation:
x-y= -3 => Equation 1
x+5y= 21 => Equation 2
<u>Substitut</u><u>ion</u><u> </u><u>Method</u><u>:</u>
<u>Substitu</u><u>te</u><u> </u><u>Equation</u><u> </u><u>1</u>=>
x=y-3 <= Equation 3
Put x=y-3 in Equation 2:
x+5y=21
( y-3)+5y=21
y-3+5y=21
6y-3=21
6y=21+3
6y=24
y=24÷6
y=4
Put y=4 in Equation 1:
x-y= -3
x-4=-3
x=4-3
x=1
Hope this helps :)
Answer:
1. The scale factor here is 1.5
2. The scale factor here is 2/3
Step-by-step explanation:
Here, we shall be dealing with scales of triangles.
we have two triangles;
ABC and DEF
longest sides are in the ratio;
12 : 8
1. What scale factor translates DEF to ABC?
The ratio of the length can be beaten down to 3:2
So therefore, we can see that by multiplying the sides of of DEF by 1.5, we can arrive at the sides of ABC
So the scale factor here is 1.5
2. This is like the other way round of what we have above.
By multiplying the sides of ABC by 2/3, we shall have the sides of DEF
Answer:
question 1: m = 3/2
question 2: m = 1/95
Step-by-step explanation:
Slope intercept form of equation is of form
y = mx+c
where m is the slope of line and c is the y intercept of the line.
Y intercept is point on y axis where the line intersects the y axis.
____________________________________
given
y = 3/2 x
comparing it with y = mx+c
we have m = 3/2 .
since y = 3/2 x does not have constant term so it can be taken as 0. hence c is 0
_________________________________________
slope for any two point (x1,y1) and (x2,y2) on coordinate plane is given by
slope = (x2-x1)/y2-y1)
From the given table lets take two point as (2,190) and(4,380)
Thus, slope m is given by
m = (4-2)/(380-190) = 2/190 = 1/95
m = 1/95
Though, slope can be taken by dividing y by x (y/x). It is good practice to use two point form formula as given above . Provided two points are given
Please mark it the brainliest.
