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lozanna [386]
3 years ago
12

All quadratic equations written in standard form can be solved into intercept/factored form prove

Mathematics
1 answer:
BlackZzzverrR [31]3 years ago
3 0

Answer:

Refer below for detailed explanation.

Step-by-step explanation:

1. ax^2+bx+c=0.

Quadratic formula:

2. x = -b+-sqrt(b^2-4ac)/2a. .

Now two equations to find the factored form through these formulas above.

Through this identifying a,b and c.

ax^2+bx+c=0.

x^2+4x-21=0

Here a=1, b=4, and c= -21

Now applying in the quadratic formula.

x=-4+-sqrt(4^2-4(1)(-21))/2(1)

Now solve it and it becomes

x=3 or x= -7.

Another example :

x^2+3x-4=0

Here a=1, b=3 and c=-4.

X=-3+-sqrt(3^2-4(1)(-4))/2(1)

Now solve it and

x= -4 and x=1

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Step-by-step explanation:

If each input value leads to only one output value, classify the relationship as a function.

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Find the value of the unknown in the equation 4p + 2 = 8
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Answer:

Option C

Step-by-step explanation:

=> 4p + 2 = 8

Subtracting 2 to both sides

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Answer:

Step-by-step explanation:

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2x²+12x+2y²−16y−150=0

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The coordinates of the center are (−3,4), and the length of the radius is 10 units.

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For the soccer banquet, the players and their family members selected their favorite main dish and side dish. Of the 39 people w
Oduvanchick [21]

Question:

For the soccer banquet, the players and their family members selected their favorite main dish and side dish. Of the 39 people who chose chicken as the main dish, 18 wanted potatoes. Of the 32 people who chose rice as a side dish, 6 chose fish as a main dish. A total of 8 people chose a vegetarian meal with potatoes, and a total of 10 people chose fish as their main dish.

Which two-way table correctly displays this data?

a. A 5-column table has 3 rows. The first column has entries Rice, Potatoes, Total. The second column is labeled Chicken with entries 18, 21, 39. The third column is labeled Fish with entries 4, 6, 10. The fourth column is labeled Vegetarian with entries 8, 5, 13. The fifth column is labeled total with entries 30, 32, 62.

b. A 5-column table has 3 rows. The first column has entries Rice, Potatoes, Total. The second column is labeled Chicken with entries 21, 18, 39. The third column is labeled Fish with entries 6, 4, 10. The fourth column is labeled Vegetarian with entries 5, 8, 13. The fifth column is labeled total with entries 32, 30, 62.

c. A 5-column table has 3 rows. The first column has entries Rice, Potatoes, Total. The second column is labeled Chicken with entries 14, 18, 32. The third column is labeled Fish with entries 6, 4, 10. The fourth column is labeled Vegetarian with entries 19, 8, 27. The fifth column is labeled total with entries 39, 30, 69.

d. A 5-column table has 3 rows. The first column has entries Rice, Potatoes, Total. The second column is labeled Chicken with entries 18, 14, 32. The third column is labeled Fish with entries 4, 6, 10. The fourth column is labeled Vegetarian with entries 8, 19, 27. The fifth column is labeled total with entries 30, 39, 69.

Answer:

b. A 5-column table has 3 rows. The first column has entries Rice, Potatoes, Total. The second column is labeled Chicken with entries 21, 18, 39. The third column is labeled Fish with entries 6, 4, 10. The fourth column is labeled Vegetarian with entries 5, 8, 13. The fifth column is labeled total with entries 32, 30, 62.

Step-by-step explanation:

The question above is a two way table because it consists of two tables that are arranged in a column and row format or design.

A two way table is a table that up of values or numbers or frequencies for two variables. One of the variables is placed in a column while the other is placed in a row.

In the question above, we where given two variables, variable one is the main dish while variable two is the side dish. The proper way to display the data correctly is to

Create a 5-column table has 3 rows. The first column has entries Rice, Potatoes, Total. The second column is labeled Chicken with entries 21, 18, 39. The third column is labeled Fish with entries 6, 4, 10. The fourth column is labeled Vegetarian with entries 5, 8, 13. The fifth column is labeled total with entries 32, 30, 62.

Therefore, Option b. is the correct option.

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4 years ago
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