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3 years ago

Find the sum and product of the roots. 2x^2 + 6x - 8 = 0

1 answer:

3 0

Suppose you can factorize:

$ax^2+bx+c=a(x-r_1)(x-r_2)$

Then by expanding the right side, you have

$ax^2+bx+c=a(x^2-(r_1+r_2)x+r_1r_2)=ax^2-a(r_1+r_2)x+ar_1r_2$

which means in this case, you have to have

$\begin{cases}6=-2(r_1+r_2)\\-8=2r_1r_2\end{cases}\implies\begin{cases}r_1+r_2=-3\\r_1r_2=-4\end{cases}$

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Boldface publishing company reported a loss of $17,225 in march. In April, the company showed a profit of $32,500. How much more

Dmitrij [34]

Answer:

Boldface publishing company had $49,725 more in April than March

Step-by-step explanation:

Step 1

Express the total amount of money Boldface had in March as shown;

Let the initial amount of money he had be;

initial=x

loss=$17,225

Net amount=initial amount-loss

Net amount in March=x-17,225

Step 2

Express the total amount of money Boldface had in April as shown;

Let the initial amount of money he had be;

initial=x

profit=$32,500

Net amount=initial amount+profit

Net amount in April=x+32,500

Step 3

To calculate how much more Boldface make in April than March;

Net amount in April-net amount in March

where;

net amount in April=x+32,500

net amount in March=x-17,225

replacing;

(x+32,500)-(x-17,225)

x+32,500-x+17,225

x-x+32,500+17,225=49,725

Boldface publishing company had $49,725 more in April than March

5 0

3 years ago

Find the ratio created when AB is partitioned by C.

Blizzard [7]

Answer:

Step-by-step explanation:

From the picture attached,

Segment AB has been divided into four equal parts.

Let each part measures equal length = 1 unit

Point C is 2 units apart from both the points A and B.

Length of AC = Length of BC = 2 units

Therefore, point C will be the mid point of segment AB.

And ratio of AC and BC = 1:1

AC:BC = 1:1

Similarly, AC:AB = 2:4

= 1:2

And BC:AB = 2:4

= 1:2

8 0

3 years ago

Which of the following pairs of terms are like terms?

Rina8888 [55]

Answer:

If the two beside the p in d is an exponent I believe that would be correct. if not sorry

8 0

2 years ago

Katie is buying a refrigerator for her apartment. She's choosing between a regular fridge and a gigantic fridge . She notices th

Anuta_ua [19.1K]

Answer:

Volume of the gigantic fridge is 2.5 times the volume of regular fridge.

Step-by-step explanation:

This question is incomplete; here is the complete question.

Katie is buying a refrigerator for her apartment. She's choosing between a regular fridge and a gigantic fridge (details are shown in the table below). She notices that the gigantic fridge costs 3 times as much as the regular fridge.

How many times as great is the volume of the gigantic fridge as the volume of the regular fridge?

Area of the base, Height, Price

Regular Fridge: 1m² / 2m / $200

Large Fridge: 2m² / $\frac{5}{2}$ m / $600