Answer:
The given system as (3,3) as its solution.
Step-by-step explanation:
Here, the given system of the equation is:
4 x + 2 y = 18
................ (1)
2 x + 3 y = 15 ............... (2)
Now, to use the elimination method, w need to eliminate any of the variable.
Eliminate the variable x in the given system.
Multiply equation (2) with -2 we get,
(2 x + 3 y = 15 )(-2) ⇒ -4x - 6y = -30 ....... (3)
Add (1) and (3), we get:
4 x + 2 y -4x - 6y = 18 -30
or, - 4 y = - 12
or, y = 12/4 = 3 ⇒ y = 3
Putting in (1), we get
4x + 2(3) = 18 or, 4x = 18 - 6 = 12
or, x = 3
(x,y) = (3,3)
Hence, the above system as (3,3) as its solution.
We are given equation: y=ln(x) .
And translation is 5 units down.
We know the rule of transformation f(x) = y + k, if k is greater than 0 it would move up or if k is less than 0, it would move down.
For the given translation 5 unit down, 5 should be less than 0.
Number less than 0 are negative numbers.
So, we need to add -5 in the given function to ln(x).
So, we would get the final equation for five units down as
y =ln(x) - 5.
Answer:
1. Either none (if you have to buy a whole pound), or 1/4 of a pound
2. 3 whole pounds or 3 and 1/4 pounds
Step-by-step explanation:
If $4 = 1 pound, then we know that $1 (which is 1/4 of $4), will let you by 1/4 pound of blueberries. Knowing this, we can simply:
Add up the one fourths
do 1/4 times $$
See how many times 4 goes into the number of dollars you have
Please correct me if I'm wrong :)
Answer:
129 degrees
Step-by-step explanation:
add the interior angles: 62 + 67 = 129
subtract your answer from 180 to get the exterior angle of the interior angle that is opposite to the given angles
You could solve it ( without a graph) in 2 easy ways :
1 use the equation that you have written in pencil and solve for y
y=3=-x+4
y=-x +1
Or you could use the point slop form after you find the y intercept y=mx+b
-3=4(-1)+b
b= 1
So the answer would be y= -x +1
Hope this help of it does feel free to give the brainliest
