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2 years ago

4x^2-2x-4=0 solve using quadratic formula

Mathematics

1 answer:

MArishka [77]2 years ago

4 0

Answer:

Step-by-step explanation:

Although you can start with 4x^2-2x-4=0, it's just slightly easier to reduce the coefficients. 4x^2-2x-4=0 becomes 2x^2 - x - 2 = 0.

The discriminant (part of the quadratic formula) is b^2 - 4ac. Using b = -1. a = 1 and c = -2, we get (-1)^2 - 4(2)(-2), or 17.

-b ± √(b^2 - 4ac)

Then the quadratic formula x = ---------------------------

-(-1) ± √17 1 ± √17

takes on the values x = ----------------- = ---------------

4 4

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Peter planted 5/12 of his garden with asparagus and 3/12 with beans.

UkoKoshka [18]

Answer: He has planted 2/3 and there is 1/3 left to plant.

Explanation: You need to add your fractions together, because each of those is a section of the garden and you need the total of how much of the garden he has planted.

This isn’t too difficult because the denominators are the same.

5/12 + 3/12 = 8/12

It is 8/12 because since the denominators are the same, you just need to add the numerators. Imagine you have a pie that’s cut into 12 pieces, and you and your friends take 5, and then your family takes 3. How many or gone now? 8 pieces. From how many pieces? 12 pieces. So 8/12 pieces are gone.

So Peter has planted 8/12 of his garden. This however, can be simplified, because both of those numbers divide by 4.

8/4 = 2
12/4 = 3

So 8 is now 2, and 12 is now 3.

This is now 2/3.

If there is 2/3 gone, you need to figure out how much is left to get you to 1.

In this instance, 1 can be rewritten as 3/3, because 3 divided by 3 is 1.

In order to get from 2/3 to 1, you need to add 1/3, one more third to the two thirds you already have.

This means Peter has 1/3 left to plant.

Hope this helps :)

7 0

2 years ago

Zhao Xue wants to buy milk and yogurt. She wants to buy a total of at least 6.5 gallons of dairy products (condition A), and she

Marta_Voda [28]

Answer: The answer is (D). Zhao Xue doesn’t have enough money left to buy any yofurt

Step-by-step explanation: Given that Zhao Xue is buying buy milk and yogurt, a total of at least 6.5 gallons of dairy products and she has a budget of $20. The given graph represents the constraints on the number of gallons of milk 'M' and yogurt 'Y' Zhao Xue buys. Zhao Xue buys 4 gallons of milk. We need to calculate the number of gallons of yogurt she can buy to meet both her constraints.

From the graph, we can write

Condition A :

$M+Y\geq 6.5.$

Condition B :

$8M+5Y\leq40.$

Now, if she buys 4 gallons of milk, the the conditions become

$4+Y\geq 6.5~~\Rightarrow Y\geq 2.5,\\\\8\times 4+5Y\leq 40~~\Rightarrow Y\leq 1.6.$

Here, there will be no solution to these constraints.

Therefore, she does not have enough money left to buy any yogurt.

Thus, the correct option is (D).

3 0

2 years ago

Find the area of the composite figure

irakobra [83]

Answer:

Hope this will help you......

3 0

2 years ago

How many solutions does this equation have?<br> 2 + 6x

Gekata [30.6K]

Answer:

man idk ask yourself .

Step-by-step explanation:

3 0

2 years ago

Read 2 more answers

How can we solve this?

Delvig [45]

Both angles will equal 180, as there is a line bisecting line AB to create the two angles.

Set up the following equation to have both angles equal 180:

$(x + 35) + (x - 23) = 180$

$x + 35 + x - 23 = 180$

Combine like terms:

$x + x = 2x$
$35 - 23 = 12$

$2x + 12 = 180$

Subtract 12 from both sides:

$2x = 168$

Divide both sides by 2:

$x = 84$

We now know the value of x, so plug it into the equation we set up:

$(84 + 35) + (84 - 23) = 180$

$119 + 61 = 180$

An obtuse angle will have a measure above 90 degrees. The number on the left side that is above 90 degrees is 119. This would be the measure for the obtuse angle.

The obtuse angle is 119 degrees wide.

8 0

2 years ago