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igor_vitrenko [27]

2 years ago

11

A cereal company used to fill the boxes with 17 ounces of cereal. They have reduced that amount to 14 ounces. The percent decrea

se is 87.5%

1 answer:

Eddi Din [679]2 years ago

6 0

So what's the question?

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The line $y = 3$ intersects the graph of $y = 4x^2 + x - 1$ at the points $A$ and $B$. The distance between $A$ and $B$ can be w

raketka [301]

Answer:

61

Step-by-step explanation:

Let's find the points $A$ and $B$ .

We know that the $y$ -coordinates of both are $3$ .

So let's first solve:

$3=4x^2+x-1$

Subtract 3 on both sides:

$0=4x^2+x-1-3$

Simplify:

$0=4x^2+x-4$

I'm going to use the quadratic formula, $x=\frac{-b\pm \sqrt{b^2-4ac}}{2a}$ , to solve.

We must first compare to the quadratic equation, $ax^2+bx+c=0$ .

$a=4$

$b=1$

$c=-4$

$\frac{-1 \pm \sqrt{1^2-4(4)(-4)}}{2(4)}$

$\frac{-1 \pm \sqrt{1+64}}{8}$

$\frac{-1 \pm \sqrt{65}}{8}$

Since the distance between the points $A$ and $B$ is horizontal. We know this because they share the same $y-coordinate$ .This means we just need to find the positive difference between the $x$ -values we found for the points of $A$ and $B$ .

So that is, the distance between $A$ and $B$ is:

$\frac{-1+\sqrt{65}}{8}-\frac{-1-\sqrt{65}}{8}$

$\frac{-1+\sqrt{65}+1+\sqrt{65}}{8}$

$\frac{2\sqrt{65}}{8}$

$\frac{\sqrt{65}}{4}$

If we compare this to $\frac{\sqrt{m}}{n}$ , we should see that:

$m=65 \text{ and } n=4$ .

So $m-n=65-4=61$ .

5 0

3 years ago

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Help me at this thanks...please this is an urgency

Ira Lisetskai [31]

Answer:

if simplified is 30

Step-by-step explanation:

600 x 360/7,200

3 0

3 years ago

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Solve for x 4(x+9)= 3(2x - 7)

ElenaW [278]

Answer: X= 57/2

Hope this helps!

3 0

3 years ago

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Megan has 40$ in her wallet. She wants to buy a dress. The regular price of the dress is 45$. The dress is sold at a discount of

devlian [24]

Answer:

yes

Step-by-step explanation:

5 0

3 years ago

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Solve x2 + 12 = -11 by completing the square.which is the solution set of the equation

Ivan

Answer:

the answer to the question is -1

6 0

2 years ago