Answer:
The correct choice is
Step-by-step explanation:
The given equation is
We rewrite the left hand side of the equation as a power(a number to a given exponent.
Recall that;
We apply this property to obtain;
Since the exponents are the same, the bases are also the same.
Therefore 
With the given information, we can create several equations:
120 = 12x + 2y
150 = 10x + 10y
With x being the number of rose bushes, and y being the number of gardenias.
To find the values of the variables, we can use two methods: Substitution or Elimination
For this case, let us use elimination. To begin, let's be clear that we are going to be adding these equations together. Therefore, in order to get the value of one variable, we must cancel one of them out - it could be x or y, it doesn't matter which one you decide to cancel out. Let's cancel the x out:
We first need to multiply the equations by numbers that would cause the x's to cancel out - and this can be done as follows:
-10(120 = 12x + 2y)
12(150 = 10x + 10y) => Notice how one of these is negative
Multiply out:
-1200 = -120x - 20y
+ 1800 = 120x + 120y => Add these two equations together
---------------------------------
600 = 100y
Now we can solve for y:
y = 6
With this value of y known, we can then pick an equation from the beginning of the question, and plug y in to solve for x:
120 = 12x + 2y => 120 = 12x + 2(6)
Now we can solve for x:
120 = 12x + 12 => 108 = 12x
x = 9
So now we know that x = 9, and y = 6.
With rose bushes being x, we now know that the cost of 1 rose bush is $9.
With gardenias being y, we now know that the cost of 1 gardenia is $6.
Answer:
y = 2x+3
Step-by-step explanation:
Sorry I'm probably too late since Quizziz doesn't wait unless you have the freeze timer thing.
y = mx+b
b is the y intercept. The y intercept (when x=0) is given in the table.
Now plug a coordinate in to solve for m.
My coordinates: (1,5)
5 = m + 3
Solve.
2 = m
m = 2
Note: never plug in the y intercept when looking for m.
You can also find the slope by (subtracting the y value of one coordinate from another y value of another coordinate)/(subtracting x value from the first y coordinate above from the x value from the second coordinate).
In this case, it'd be
m = (7-5)/(2-1)
m = 2/1
m = 2
Answer:
x=-2 hope this helps! :)
Step-by-step explanation:
first you move the constant to the right
3x+1=-5
then you calculate
3x=-5-1
finally you divide both sides to get x alone
x=-2
Answer:
The line slopes upwards from left to right wit a positive gradient and cuts the y-axis at y=2 and the x-axis at x=-3/2
Step-by-step explanation:
We first rearrange the equation to the order y=mx+c where m is the gradient and c the y intercept.
3y=4x+6
y=(4/3)x+2
The gradient is therefore 4/3 and the y intercept is 2.
At the c intercept, y=0
0=(4/3)x +2
(4/3)x=-2
x=-2×3/4
=3/2
The line slopes upwards from left to right with a positive gradient and cuts the y-axis at y=2 and the x-axis at x=-3/2
