The discrimination of a quadratic function is 13. Which is a true statement about the roots of the function?​

Answers

Answer 1

Answer:

If the discrimination of a quadratic function is 13, then the function will have two distinct real roots.

Step-by-step explanation:

Given the quadratic function

[tex]y=ax^2+bx+c[/tex]

where D = b²-4ac is called the discrimination of a quadratic function.

The discriminant D=b²-4ac indicates the type of roots the equation may have.

If D > 0, then the equation has two distinct real roots.

Given that the discrimination of a quadratic function is 13.

i.e. D = 13

As D > 0, so the function will have two distinct real roots.

Thus, we conclude that if the discrimination of a quadratic function is 13, then the function will have two distinct real roots.


Related Questions

Helpppppppppppppppppp

Answers

Answer:

ik that problem gimmie a sec

Step-by-step explanation:

Step-by-step explanation:

since 1 and 2 are same the lines which create 1(g and p) and 2(h and r)

the lines g h and p r shoul be parallel. we also know that g h is parallel which proves that p and r should be parallel as well

Which of the following is a proportional relationship? SELECT ALL THAT APPLY

A)
[tex] \frac{2}{3} = \frac{8}{12} [/tex]
B)
[tex] \frac{6}{7} = \frac{12}{13} [/tex]

C)
[tex] \frac{15}{20} = \frac{9}{12} [/tex]

D) None of the above​

Answers

Answer:

a

Step-by-step explanation:

gajansvxhchcjwiqaau

What’s the answer to the problem Help me

Answers

250,000 sheets of paper

Answer:

$2000 can get 250000 sheets of papers

Step-by-step explanation:

[tex]500/4=125[/tex]

[tex]125*2000=250000[/tex]

PLEASE HELP MEH ON THIS ASAP!!!!

Answers

Answer:

b

Step-by-step explanation:

Answer:

option B

Step-by-step explanation:

a is located in the left side of 0 . HENCE IT IS A NEGATIVE NUMBER . b & c are on the right side of 0. HENCE BOTH ARE POSITIVE NUMBER

In option B , it's given that -a > -c . If we'll verify this statement , we'll find that when we put the negative sign in a , the all totla value of a becomes positive BECAUSE 'a' WAS A NEGATIVE NUMBER.

Now if we put a negative sign in c , the all total value becomes negative BECAUSE 'c' WAS A POSITIVE NUMBER.

By comparing -a & -c , we'll get to know that :-

-a > -c

Is precipitation a function of month? Explain why or why not, in at least
two full sentences.

Answers

Answer:

I cannot see the question

Step-by-step explanation:

A business person is desperate to better organize their business. They hire you to act as an efficiency expert. As you review their situation, you notice they file all of their receipts and documents into one overflowing folder. Their workspace is very messy with many piles of papers and useless knick-knacks. They mention difficulty finding important documents and have forgotten important dates and events due to their clutter. Write a formal letter to your client offering tips on ways to make their business more organized and efficient. Make sure your letter has specific examples which can improve the business' organization.​

Answers

Answer:

Simply have neat and organized ways to save files. You can do this with file cabinets or by having digital copies of all the files to get rid of the clutter. I would recommend the second option.

Step-by-step explanation:

I got it right

The formal letter to the client offering tips on ways to make his business more organized and efficient is;

51, broad street,

Times Square Church,

New York City.

2/12/2021

The General Manager,

Clad financial services Ltd,

Brooklyn, New York city.

Dear Mr. Bill Wilkinson,

Letter of advice on more organized and efficient business.

I am writing with respect to the need to have a more organized and efficient office. Since resumption into this role as an efficiency expert, I have noticed that specific files and documents are very difficult to locate due to unorganization and untidiness.

With respect to the issue of unorganization and untidiness, I have some neat and organized ideas that can be used to save files. This can be can done by making use of file cabinets and also by creating and saving digital copies of all the files in order to get rid of some of the files and documents occupying a lot of space in the office.

Secondly, I will also like to add that unwanted papers or files should be thrown away and the files on the shelf should be properly labeled for easy identification.

Regards.

Frank Johnson,

Efficiency Expert.

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the radius of a circle is 7 kilometers. What is the circle’s area?

Answers

A = 153.95 km that should help
The Awnser is 153.95 I think

Which of the fractions is equivalent to 2/5 ?
5/2
4/25
12/15
4/10

Answers

Answer is
The fourth option
4/10

Answer:

4/10

Step-by-step explanation:

4/10 simplifies to 2/5

4/2 = 2

10/2 = 5

What is the quotient in simplest form? 4/5 ÷ 8 a. 1/10 b. 1/2 c.8 d. 20​

Answers

Answer:

1/10

Step-by-step explanation:

Answer:

4/5 divided by 8 is 4/40 and 1/10 if simplified.

Step-by-step explanation:

How much of a circle does a 100-degree angle turn through?
1. 1
2. 100/180
3. 50/360
4. 100/360

Answers

05.05

0.55

0.13
0.00027

Which two expressions are equivalent?
(F was wrong) H 7(x − 3) and 7x − 7 • 3
g 7(x − 3) and 7x − 4 j 7(x − 3) and 7x + 7 • 3

Answers

Answer:

The correct answer is:

Option H: 7(x − 3) and 7x − 7 • 3

Step-by-step explanation:

Equivalent expressions are those expressions that simplify to the same expression i.e. the result of both expressions is the same. There is no change of sign or variable or any quantity.

Option H:

The two expressions are:

7(x − 3) and 7x − 7 • 3

[tex]7(x-3) = 7x - 21\\7x - 7.3 = 7x-21[/tex]

It can clearly be seen that both the expressions result in same expression

Hence,

The correct answer is:

Option H: 7(x − 3) and 7x − 7 • 3

Jake has a piece of rope that is 5.5 yards long. What is the length, in inches, of Jake's rope?
O 180.5 inches
O 187.2 inches
O 186 inches
O 198 inches

Answers

The answer is 198 inches

PLEASE EXPLAIN STEPS

Answers

Answer:

C. m<C = m<F

Step-by-step explanation:

this is because in their triangle names, they are in the same spot (third letter of the name)

if they are in the same spot, they have to be congruent

same goes for the other letters, <A has to be congruent to <D and <B has to be congruent to <E

solve for x.

x/6 =2

A.x=3
B.x=-12
C.x=12

Answers

Answer:

C. x=12

Step-by-step explanation:

C. x = 12 okiiiiiiiiiiii

Suppose that y varies directly with x, and y = 10 when x = 25.
(a) Write a direct variation equation that relates x and y.

Equation:

(b) Find y when x = 6.

y =

Answers

Answer:

Equation: y = 0.4x

y = 2.4

Step-by-step explanation:

Use the direct variation equation, y = kx, where k is a constant

Plug in x and y:

y = kx

10 = k(25)

Solve for k:

0.4 = k

So, the equation is y = 0.4x

Then, use this equation to find y when x = 6:

y = 0.4x

y = 0.4(6)

y = 2.4

A direct proportion is a proportion such that the ratio between both variables remains constant thus the given proportion will be y = 04x and the value of y at x = 6 will be 2.4.

What are the ratio and proportion?

The ratio is the division of the two numbers.

Proportion is the relation of a variable with another. It could be direct or inverse.

a)

Let's say the direct proportion as,

y = kx

Given that y = 10 when x = 25.

10 = k(25)

Solve for k,

0.4 = k

Therefore, the equation will be y = 0.4x

y = 0.4x

b)

The value of y when x = 6

y = 0.4(6)

y = 2.4

For more information about ratios and proportions,

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What is the slope and y-intercept of these equations?
y=-2/3x-6
y=3x-6

Answers

Answer:

slope=-2/3  y inter= -6

slope= 3 y inter= -6

Step-by-step explanation:

Kenny is on the local swim team for the summer and has swim practice
five days per week. The schedule is the same each day. The team swims in
the morning and then again for 3 hours in the evening. If he swims 30
hours per week, how long does he swim each morning. Write and solve
the equation. You must show the equation and solved solution in order to
receive credit. *

Answers

Answer:

She swims for 3 hours each morning.

Step-by-step explanation:

To determine the number of hours that Kenny swims in the morning, it is necessary to perform the following equation, taking into account that he swims 5 days a week for a total of 30 hours a week, and that in the afternoon he swims for 3 hours:

X + 3 x 5 = 30

X + 3 = 30/5

X = 6 - 3

X = 3

Therefore, Kenny swims for 3 hours in the morning.

It was cloudy 12 out of 30 days in April. Which value is equivalent to the fraction of
days it was cloudy in April?

Answers

Answer:

any of the below:

Step-by-step explanation:

12/30

6/15

2/5

Answer:

2/5, or 40%.

Step-by-step explanation:

Write it as a fraction first, then reduce it to simplest form.

12/30

Simplest form is 2/5, or 40%

help as fast as you can!!!!!! Any living thing is called an organism,no matter if it is one-celled or many-celled. True or False?.

Answers

Answer:

true

Step-by-step explanation:

Answer:

TRUE.

Step-by-step explanation:

a flour company in minneapolis wants to know what percent of local households bake at least twice a week. A company representative calls 500 randomly selected local households from 8am to 5pm during the week and finds that 56% of them bake at least twice a week

Answers

Answer:

Step-by-step explanation:

The response of this would be to say that those people without daytime jobs that are outside the home, are more likely to be home and thus, have more time on their hands to attempt to bake. So basically, the quoted 56% is definitely going to be higher than the population percentage.

Helen borrowed money from her aunt to pay for college expenses. The graph below shows the amount left
on the loan as it is paid off over time. Write a linear equation that describes the amount, A, that Helen owes her
aunt to the number of months, n, since she borrowed the money. Show your work that supports your answer

Answers

Answer:

[tex]y = -100x + 13000[/tex]

Step-by-step explanation:

See attachment for graph

First, we need to take any corresponding values of x and y

[tex](x_1,y_1) = (0,13000)[/tex]

[tex](x_2,y_2) = (130,0)[/tex]

Next, we calculate the slope (m)

[tex]m = \frac{y_2 - y_1}{x_2 - x_1}[/tex]

[tex]m = \frac{0 - 13000}{130 - 0}[/tex]

[tex]m = \frac{- 13000}{130}[/tex]

[tex]m = -100[/tex]

Next, we calculate the line equation using:

[tex]y - y_1=m(x-x_1)[/tex]

[tex]y - 13000 = -100(x - 0)[/tex]

[tex]y - 13000 = -100x[/tex]

Make y the subject

[tex]y = -100x + 13000[/tex]

Hence, the line equation is:

[tex]y = -100x + 13000[/tex]

is 9.68888888... a rational number​

Answers

Answer:

rational

Step-by-step explanation:

because of the dec

A parabola can be drawn given a focus of (-4, -5) and a directrix of y=3. Write the equation of the parabola in any form.

Answers

Answer:

The equation of the parabola is (x + 4)² = -16(y + 1)

Step-by-step explanation:

The standard form of the equation of the parabola is (x - h)²  = 4p(y - k), where

The vertex of the parabola is (h, k)The focus is (h, k + p)The directrix is at y = k - p  

∵ The focus at (-4, -5)

h = -4

∴ k + p = -5 ⇒ (1)

∵ The directrix at y = 3

∴ k - p = 3 ⇒ (2)

→ Add equations (1) and (2) to find k

∴ 2k = -2

→ Divide both sides by 2 to find k

k = -1

→ Substitute it in equation (1) to find p

∵  -1 + p = -5

→ Add both sides by 1

∴ -1 + 1 + p = -5 + 1

p = -4

→ Substitute the values of h, k, and p in the formula above

∵ (x - -4)² = 4(-4)(y - -1)

∴ (x + 4)² = -16(y + 1)

The equation of the parabola is (x + 4)² = -16(y + 1)

could you please help with this equation:
Simplify the algebraic expression: 4(3x + y) – 2(x – 5y)

Answers

Answer: 10x + 14y

Step-by-step explanation: just simplify it

Answer:

10x+14y

Step-by-step explanation:

for algebra 2 please help <3

Answers

Answer:

A. 1

Step-by-step explanation:

✔️To find f(g(1)), first find g(1).

From the mapping given for g(x), the corresponding value of x = 1, is 0.

That is,

g(1) = 0

✔️Next is to find f(g(1)) by replacing x with 0 in f(x) = 3√x + 1

Thus:

f(g(1)) = 3√0 + 1

f(g(1)) = 0 + 1

f(g(1)) = 1

Kelsey must pay $200 to rent a booth at the craft fair. The materials for each pendant cost $7.80, and she plans to sell each pendant for $13.50. To make a profit, she must make more money than she spends. Kelsey has already made 10 pendants.

Part A
Given that Kelsey has already made 10 pendants, how many additional pendants must she make and sell to make a profit of $50?

Answers

Answer:

25 more

Step-by-step explanation:

You have $40 to start a savings account. You plan to put $10 in the account each month.

Write an equation that represents the relationship in the story.

Answers

40 = y intercept, 10 = rate of change
Equation: y = 10m + 40
m = number of months

A baker has three banana muffin recipes. Recipe AAA uses 333 bananas to make 121212 muffins. Recipe BBB uses 555 bananas to make 242424 muffins. Recipe CCC uses 111111 bananas to make 484848 muffins.
Order the recipes by number of bananas per muffin from least to greatest.

Answers

Answer:  Recipe Buses 5 bananas to make 24 muffins. Recipe C uses 11 bananas to make 48 muffins.

Step-by-step explanation:

The graph below shows where the two functions y = f(x) and y = g(x) intersect. Solve the equation f(x) = g(x).

Answers

Answer: (-2, 2) and (4, 8)

There are two solutions because the two functions cross each other twice.

The solutions of the equation f(x) = g(x) are (4, 8) and (-2, 2).

We have a graphical representation of two functions f(x) and g(x) and where they intersect.

We have to solve the equation f(x) = g(x)

Two functions A(x) and B(x) are plotted on the graph such that these these two functions intersect each other at three different coordinates. The total number of solutions possible for - A(x) = B(x) is ?

The total number of solutions can be calculated by counting the points at which these curves intersect each other. Hence, the total number of possible solutions are 3.

In the question given - We have a straight line and a parabola -

Now, we just have to look at the points at which these two graphs intersect each other. It can be seen that - both the graphs cut each other at coordinates - (4, 8) and (-2, 2).

Hence, the solutions of the equation f(x) = g(x) are (4, 8) and (-2, 2).

Alternative Method -

The general equation of straight line is : y = mx + c and that of parabola is : y = [tex]\sqrt{4ax}[/tex]

The solution can be calculated by equating both of the above expressions and solving them.

mx + c = [tex]\sqrt{4ax}[/tex]

To solve more questions on solving the equations, visit the link below -

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A test of a new car results in 300 miles on 10 gallons of gas. How far could you drive on 45 gallons of gas?

Question 5 options:

1350 miles


67 miles


670 miles


135,000 miles

Answers

Answer:

1350

Step-by-step explanation:

300x4=1200

300×.5=150

1200+150=1350

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