X=1
y=-1.5(1)
y=-1.5
(1,-1.5)
x=0
y=-1.5(0)
y=0
(0,0)
x=2
y=-1.5(2)
y=-3
(2,-3)
x=3
y=-1.5(3)
y=-4.5
(3,-4.5)
all you do is substitute the x value in the equation to get y
And is C
Caitlin can eliminate $54 from Food/Clothes and $120 from Entertainment.
Answer:
Choices 2, 3, and 5 are correct.
Step-by-step explanation:
Complete question is:
Check all that apply.
1. ln ab² - ln a
2. ln a + 2 ln b
3. ln a² + ln b² - ln a
4. 2 ln ab
5. ln ab²
ANSWER:
The given expression is : 2 ln a + 2 ln b - ln a
It simplifies to: ln a + ln b² = ln ab²
Checking the given options.
1. ln ab² - ln a = ln (ab²)/a = ln b²
FALSE
2. ln a + 2 ln b = ln ab²
TRUE
3. ln a² + ln b² - ln a = ln (a²b²)/a = ln ab²
TRUE
4. 2 ln ab = ln a²b²
FALSE
5. ln ab²
TRUE
Answer:
Step-by-step explanation:
You have 3 unknowns: a, b, and c. It's our job to find them algebraically. I'm going to start with the point where x = 0 and y = 7. You'll see why in a minute. Filling in the standard form of a quadratic
using (0, 7):
gives you that c = 7. We will use that value now when we write the next 2 equations. Now the point (-2, 19):
and
so
12 = 4a - 2b
Now for the next point (-1, 12):
and
so
5 = a - b
Now we have a system of equations (the 2 bold font equations) that we will solve by elimination:
12 = 4a - 2b
5 = a - b
Multiply the bottom equation by -4 to get a new system:
12 = 4a - 2b
-20 = -4a + 4b
Add those together to get rid of the a terms and end up with
-8 = 2b so
b = -4
Now we can sub in -4 for b to solve for a. I'm using the second bold type equation to do this:
5 = a - (-4) and
5 = a + 4 so
a = 1 and the equation for the quadratic function is
Answer:
B) 1:3
Step-by-step explanation:
Let's layout the information given firstly.
Marigolds= 18
Petunias= 6
In ratios, you need to follow the arrangement, for say in this question they say petunias go first, so the ratio should involve the value 6 first.
Therefore, it will give you, 6:18.
Now, you need to simplify this ratio. Just simplify it as it were, a fraction. Divide each number by a common factor, in this case, it is 6. Once you've done that, you'll get 1:3.
Hope this helped.
