Answer: y=3/5x-26/5 is the equation for this problem.
Step-by-step explanation:
Answer:
a=2
Step-by-step explanation:
Well, first let us find product of the first 8 positive integers, which is 1*2*3*4*5*6*7*8=40320. It can also be written as 40320=
*3²*5*7. From the formula above, it can be extracted that if a=2, n can be any number from 3 to 7 (considering that a and n are not equal and greater than 1).
In (1) a^n=64 and in (2) n=6 so it can be written as 2^6=64 so a=2 and n=6. So the value of a is 2. a=2
Answer:
The correct answer is option B. 8,16, 20
Step-by-step explanation:
Its given that,ΔJKL ~ ΔPQR, with a scale factor of 3 : 4
The sides of ΔJKL are, 6,12,15
Let 'x', 'y', and 'z' be the sides of ΔPQR
We know that if two triangles are similar, then the ratio of corresponding sides are in same raio.
<u>To find x</u>
6/x = 3/4
x = 8
<u>To find y</u>
12/y = 3/4
y = 16
<u>To find z</u>
15/z = 3/4
z = 20
Therefore the sides of ΔPQR are 8,16 and 20
Option B. 8,16,20 is the correct answer
Answer: x=-3 and y= -15
Step-by-step explanation: 1 Substitute y=5xy=5x into 4x-2y=184x−2y=18.
-6x=18
−6x=18
2 Solve for xx in -6x=18−6x=18.
x=-3
x=−3
3 Substitute x=-3x=−3 into y=5xy=5x.
y=-15
y=−15
4 Therefore,
\begin{aligned}&x=-3\\&y=-15\end{aligned}
x=−3
y=−15
1.
"The spending limit on John’s credit card is given by the function f(x)=15,000+1.5x"
means that if the monthly income of John is $ 5,000 ,he can spend at most
f(5,000)=15,000+1.5*5,000=15,000+ 7,500=22, 500 (dollars)
Or for example
if Johns monthly income is $8,000, then he can spend at most
f(8,000)=15,000+1.5*8,000=15,000+ 12,000=27,000 (dollars)
2.
Now, assume that the maximum amount that John can spend is y.
Then, y=15,000+1.5x
we can express x, the monthly income, in terms of y by isolating x:
y=15,000+1.5x
1.5x = y-15,000
X=y-15,000/1.5
thus, in functional notation, x, the monthly income, is a function , say g, of variable y, the max amount:
X=g(y) y-15000/1.5
since we generally use the letter x for the variable of a function, we write g again as:
G (x) x-15000/1.5
tells us that if the maximum amount that John can spend is 50,000 $, then his monthly income is 23,333 $.
3.
If John's limit is $60,000, his monthly income is
G(600,000)=60,000-15,000/ 1.5=45,000/1.5 =30,000
dollars.
Answer: $ 30,000
Remark: g is called the inverse function of f, since it undoes what f does.
instead of g(x), we could use the notation
