Answer:
D) 2x² + 4x - 30
Step-by-step explanation:
Follow the FOIL method:
FOIL =
First
Outside
Inside
Last
...and is the order you multiply to solve:
(x + 5)(2x - 6) =
(x)(2x) = 2x²
(x)(-6) = -6x
(5)(2x) = 10x
(5)(-6) = -30
Combine like terms. Simplify:
2x² -6x + 10x - 30 = 2x² (-6x + 10x) - 30 = 2x² + 4x - 30
2x² + 4x - 30 is your answer.
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Answer:The number of days it will take to sell the same amount of cookies is 3 and the number of tubs that will be sold is 27
Step-by-step explanation:
Let x represent the number of days it will take either of them to sell the same number of tubs.
Let y represent the total number of tubs that that Joseph will sell in x days.
Let z represent the total number of tubs that that Dwayne will sell in x days.
Joseph has already sold 3 tubs. If Joseph starts selling 8 tubs per day, it means that in x days, the number of tubs that he will sell will be
y = 8x + 3
Dwayne hasn't sold any yet. If Dwayne begins selling 9 tubs per day, it means that in x days, the number of tubs that he will sell will be
z = 9x
To determine the number of days it will take to sell the same amount of cookies, we will equate y to z. It becomes
8x + 3 = 9x
9x - 8x = 3
x = 3
The number of tubs that each will sell will be 9x = 9×3 = 27
The sum of all angles in a triangle is 180 degrees
Our given angles 55+45+90=190 degrees
We can make 0 triangles with those given angle measurements.
<h3>
Answer: Distance between x intercepts is 1 unit.</h3>
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Explanation:
Let's find the x intercept of f(x). Replace f(x) with 0 and solve for x
f(x) = -2x+2
0 = -2x+2
2x = 2
x = 2/2
x = 1
Plugging x = 1 into f(x) leads to f(x) = 0. The x intercept of f(x) is 1.
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Now onto g(x). If we were given a row that had y = 0, then we'd immediately find the x intercept. However, that isn't given, so we'll have to do a bit of work to find the equation for g(x).
First we need the slope. Pick any two rows to find the slope. I'll pick the middle two rows.
m = (y2-y1)/(x2-x1)
m = (3-6)/(1-0)
m = -3/1
m = -3 is the slope
The y intercept is b = 6 as the table shows this pairs with x = 0. The y intercept always happens when x = 0.
So with m = -3 and b = 6, we see that g(x) = -3x+6.
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Plug in g(x) = 0 and solve for x. We'll use similar ideas done in the first section at the very top
g(x) = -3x+6
0 = -3x+6
3x = 6
x = 6/3
x = 2 is the x intercept of g(x)
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In summary, we found...
- x = 1 is the y intercept of f(x)
- x = 2 is the y intercept of g(x)
Subtract the x intercept values to get 2-1 = 1, which is the distance between the x intercepts. The distance is never negative.
