Answer:
The correct option is 1.
Step-by-step explanation:
If a quadratic equation is defined as
then the quadratic formula is
The given equation is
Here, a=1, b=-2 and c=-3.
Substitute these values in the above formula.
Therefore, the correct option is 1.
By looking at the graph we can see that f(x) increase by 1 (on the vertical axis . or y-axis ) from 2 to 3, over the interval 0 to 1 ( horizontal axis, or x-axis)
It increases by 2 over the interval 1 to 2.
by 4 over the interval 2 to 3.
And by 8 over the interval 3 to 4.
Therefore this exponential function grows by a factor of 2 (since it doubles every by every interval of 1)
55 because alternate interior angles are congruent and then you can do some basic algebra
Answer: x is 12
Step-by-step explanation:
For directly proportional relationship, both variables change in the same direction. It means that an increase in one variable will result to an increase in the other variable. A decrease in one variable will result to a decrease in the other variable.
y and x have a proportional relationship,
We will introduce a proportionality constant and replace the proportionality symbol with an equal to symbol. Thus
y = kx
When y is 12, x is 8
Substituting into the equation,
12 = k × 8
k = 12/8 = 1.5
The equation becomes
y = 1.5x
The value of x when y is 18 will be
18 = 1.5x
x = 18/1.5 = 12
2j+6a = 24
5j+3a =21
multiply the 2nd equation by -2
-10j -6a = -42
add the 1st and the modified 2nd together
2j+6a = 24
-10j -6a = -42
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-8j = -18
divide by -8
j = 2.25
substitute into
2j+6a = 24
2(2.25) +6a =24
4.50 +6a =24
subtract 4.5 from each side
6a = 19.50
divide by 6
a = 3.25
Answer:
jelly beans are 2.25 per pound
almonds are 3.25 per pound
