Answer and Step-by-step explanation:
The signs didn't really "swap". Instead, the whole function was divided by -1, or we could say the function was divided by -3. That would turn:
-18x² - 15x + 3 = 0
into
(-18 / -3)x² - (15 / -3)x + (3 / -3) = 0
6x² + 5x - 1 = 0
And that gives the "swapped signs".
The answer is 0 quarts.
Remember
1 gallon contains 64ounces
1 cup contains 8ounces
1 pint contains 16ounces
We know that 2 gallons (128oz total) are needed to fill the bucket.
First, Omar pours 64 ounces into the bucket so we have 128 - 64 = 64 ounces left to fill.
Second, Penny pours 8 cups which is the same as 64 ounces (8cups x 8 ounces = 64 ounces total) into the bucket.
Stop here and add up the water in the bucket.
The bucket has only 128 ounces capacity total which means Omar and Penny have filled up the bucket with 64 ounces each. 64 x 2 = 128 ounces
The bucket is full, Ronnie actually makes it overflow. So Sierra will pour 0 quarts of water into the bucket.
Answer:
<h2>80=5x+4y</h2>
Step-by-step explanation:
Step one:
given
let binders be x
and notebooks be y
let the total sale be T
the cost of binder is $5 each
the cost of notebook is $4 each.
the total sales expected is $80
step two:
the linear model for the total sales is given as
T=x+y
using the given data, the situation can be represented linearly as
80=5x+4y
Therefore the linear expression for the total sale is 80=5x+4y
The point-slope form:

- given point
- given slope
The standard form:

<em>use distributive property</em>
<em>add
to both sides</em>
<em>subtract
from both sides</em>
<em>change the signs</em>

Let x represent the # of people in sid’s group: 200 - (16.25x + 6.50x) = 18.25
200 - 22.75x = 18.25
-22.75x = -181.75
x = about 8
if Sid is not included in the group, i think the answer is D. 7, but im not sure