Mathematics High School

Marcelle claims that both these functions have the same discriminant.
Do you agree with Marcelle?
If you do, what is the value
of the discriminant?
If you disagree, explain why?

Marcelle Claims That Both These Functions Have The Same Discriminant.Do You Agree With Marcelle? If You

Answers

Answer 1

Answer:

Yes because they both only have one zero so the discriminant for both is 0

Step-by-step explanation:

explanation above lol

Answer 2

The two functions have the same discriminant b² - 4a = 0.

What is a quadratic equaton?

A quadratic equation is an algebraic expression in the form of variables and constants.

A quadratic equation has two roots as its degree is two.

We know, Discriminant in a quadratic equation ax² + bx + c is, b² - 4ac.

Now, From the graph the discriminant and properties here,

D = 0 as the vertex of the parabola intersect only at one point.

b² - 4ac = 0.

The blue graph intersects at (2, 0) and the red graph intersects at (- 2, 0).

So, they have the same discriminant.

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Related Questions

HELP ME PLEASE How long ago did humans change from living as hunter-gatherers to living in settlements and practicing agriculture?

Answers

About 12,000 I’m not sure but I searched it up and it says that

Nikki just graduated from high school and would like to buy a car. If she received $3000 in graduation gifts from family friends. She will put this money into a 18 month certificate of deposit until she finds the car of her dreams. The CD earned 10% annually and simple interest. How much will she put towards the down payment and 18 months 1.5 years?

Answers

Answer:

$3450

Step-by-step explanation:

Here, P = $3000, N = 1.5 years, R = 10%

[tex]SI = \frac{PNR}{100} \\ \\ SI = \frac{3000 \times 1.5 \times 10}{100} \\ \\ SI = 450 \\ \\ [/tex]

Amount of down payment

= $3000 + $450

= $3450

If a polygon is a square, then a polygon is a quadrilateral The truth value: The converse: The truth value: The inverse: The truth value: The contrapositive: The truth value:

Answers

Answer and Step-by-step explanation:

Given that if a polygon is a square, then a polygon is a quadrilateral, we find the converse, inverse and contrapositive of this implicational statement. The hypothesis is the causative statement and the conclusion is the resultant effect

The converse of this statement is the reverse of its statements hence:

If a polygon is a quadrilateral then a polygon is a square

The inverse of this statement is the negation of the statements hence :

If a polygon is not a square then a polygon is not a quadrilateral

The contrapositive of the statement is the interchange of the hypothesis and conclusion of the inverse statement hence:

If a polygon is not a quadrilateral then a polygon is not a square

1.f(x)=0,5x+3 represents a function, Evaluate the function if f(12), *
A. 9
B. 3.04
C. 18
D. 15.5

Answers

It’s 9. F(12)= 6 (0.5 x 12) + 3

The distance between Saturn and the Sun is 9.54 AU. (One AU is the same as 150 million kilometers.)This distance in kilometers is ___
million kilometers.​

Answers

Answer:

1431 million kilometers

Step-by-step explanation:

d (1 AU) = 150 million km (9.54 AU)

d (1) = 150 million km (9.54)

d = 1,431 million km

Answer:

1431

Step-by-step explanation:

Plato:

Please help due NOW PLEASE HELP!!
Will mark as brilliant

Answers

The rates of change is variable because the constant stops at 4.

32 x 4 = 128

32 x 8 = 256

What is the image of (0,–8) after a reflection over the line y = –2?

Answers

I think it is (0, 5)

The sales tax in Texas is 8.25% and an item costs $400. How much is
the tax?

Answers

Answer:

Step-by-step explanation:

400*8.25%= $33 tax

if x=3 which shape has a greater perimeter ​

Answers

Answer:

Quadrilaterial 1

Step-by-step explanation:

Please hurry bb :) Please don't put the wrong answer if u don't know <3

Answers

The answer is bestbuy because at AT&T the phone would cost $809.10 and the phone at bestbuy would be $
799 and that’s less.

The population of a municipality in the beginning of 2071 B.S. was 1,80,000 and at
the end of 2073 B.S. was 2,39,580. Find the rate of growth of population per year.​

Answers

239,580 - 180,000 = 59,580

59,580/2 = 29,790

Estimate the quotient using compatible numbers.

3,512 ÷ 9

30
400
300
40

Answers

Answer:

400. just use simple devision and it'll tell you.

Preston adopted a cat from a rescue shelter. He needs to buy some cat litter, so he compares prices at different stores. He finds the best deal at Fluffy Felines Pet Shop, which sells a 20-pound jug of cat litter for $8.60. How much does the cat litter cost per pound?

Answers

A pound of litter cost 0.43
You would find this by dividing the 8.60 by the 20 to get to the final answer of 0.43

Answer: 0.43

Step-by-step explanation: divide

1. How much force (N) is required to accelerate a 2.60 kg remote controlled toy car at a rate of 8 m/s2?

Answers

Answer:

Step-by-step explanation:

A bag of oranges are on sale at the grocery store downtown and at the farmers market. At the grocery
store a 4 lb. bag of oranges cost $5.00, and at the farmers market the price for a 10 lb. bag of oranges
is $12.00. What is the rate that the grocery store is selling for? What is the rate for the farmers
market?

Answers

Answer:

Grocery store: $1.25/lb

Farmers market: $1.20/lb

Step-by-step explanation:

What is the image point of (1,0) after a translation right 1 unit and up 4 units?

Answers

Answer:

(2,4)

Step-by-step explanation:

hope this helps :)

Answer:

(1,0) + 4 up and + 1 right

The answer is (2,4)

Please help will mark brainliest if correct

Answers

Answer:

B   -------   DE ≅ RS

it's B because DE and RS both contain the equal angles.

which of the following is the same as cos15°

Answers

Answer:

cos15 is equivalent to sin(75)

Step-by-step explanation:

solving for cos15 degrees gives you ((√(3)+1)*√(2))/4 which is the same as the sin(75)

which statement is always true about a right triangle

Answers

Answer:

a right angle is an angle of exactly 90° (degrees) .

Step-by-step explanation:

Answer:

it always has a right corner or in other words it has at least one right 90 degree angle

Step-by-step explanation:

Triangle LMN isosceles,

Answers

Answer:

In the given figure, Triangle LMN is an isosceles triangle with angle m = angle n and angle p bisects angle NLQ. Prove that angle P is parallel to MN.

The length of a room is 2 1/2 feet more than its width. If the perimeter of the room is 80 feet, find its width and length?​

Answers

Answer:

The width is 20.625 and the length is 19.375

Step-by-step explanation:

Let 2 1/2 + w = length

Let w = width

Equation:

2 1/2 + w + w = 80                     Combine liked terms

2 1/2 + 2w = 80                    

-2 1/2         -2 1/2                        Subtract 2 1/2 from both sides

2w  =   77.5

÷ 2     ÷ 2                                    Divide 2 from both sides

w = 41.25

Length:

2 1/2 + 41.25 = 165/4 or 38.75

Width:

41.25

41.25/2 = 20.625

38.75/2 = 19.375

is 3x + 2y = 5 direct variation

Answers

Answer:

What is the constant variation of Y =- 2 3x?

The constant of variation, k , is 23 .

Step-by-step explanation:

When x is zero in a direct variation equation y will also be zero. That means that the y-intercept of all direct variation equations is always zero.

Write a linear function f with f(5)=7 and F(-2)=0.

Answers

Answer:

f(x)=x+2

Step-by-step explanation:

Slope= (7-0)/(5-(-2)) = 7/7 = 1

Y-intercept= 2

substitute the slope, 1, for m and the y-intercept, 2, for b to get:

f(x)=x+2

hope this helps!

The linear function f with f(5)=7 and F(-2)=0 is f(x) = x + 2

f(5) = 7

This means when x = 5 , y = 7

(5, 7)

f(-2) = 0

(-2, 0)

This implies when x = -2 , y = 0

Using the linear function formula,

y = mx + b

where

m = slope

b = y-intercept

Therefore, the function can be represented as follows:

m = 0 - 7 / -2 - 5 = -7 / -7 = 1

Therefore,

y = x + b

0 = -2 + b

b = 2

The function in relation to x can be represented as follows:

f(x) = x + 2

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Write the equation of a quadratic function whose graph has x-intercepts at x=3 and x=-4 and a y-intercept at 48.

Answers

Answer:

Step-by-step explanation:

okay i will answer but i dont see the question

The graph below shows the relationship between the number of hours and the
number of miles jogged.
Y
16
15
14
13
12
11
10
9
Miles
8
3
2
2
3
5
6
Hours
Based on the information in the graph, what is the unit rate in miles per hour?

Answers

Answer:

2.5

Step-by-step explanation:

The ratio table below shows the conversion between centigrams and milligrams. How many centigrams would be equal to 0.3 milligram?

Answers

Answer:

.03

Step-by-step explanation: because milligrams is 10 times as much as centimeters so if thereś .3 milligrams then you divide .3 by 10 and youĺl get .03

If angle 1 and angle 2 are vertical angles then angle 1 and angle 2 are congruent

Answers

Answer:

[tex]\large\boxed{\textsf{True.}}[/tex]

Step-by-step explanation:

[tex]\textsf{This is a True or False question, where we are asked if vertical angles are equal.}[/tex]

[tex]\Large\underline{\textsf{What are Vertical Angles?}}[/tex]

[tex]\textsf{Vertical Angles are 2 angles that are opposite from each other, and are formed by}[/tex]

[tex]\textsf{the same, straight lines.}[/tex]

[tex]\textsf{Because they're formed by the same lines and are opposite from each other, vertical}[/tex]

[tex]\textsf{angles are congruent to each other.}[/tex]

[tex]\boxed{\mathtt{\angle 1 \cong \angle2}}[/tex]

An airplane travels at a constant speed of 320 miles per hour. How far, in miles, will the airplane travel in 15 minutes?

Answers

Answer:

80 miles.

Step-by-step explanation:

If it is traveling at 320 miles per hour, and its asking how much its traveled in 15 minutes you do this:

Since 15 minutes is 1/4 of an hour, you take 1/4 of how fast they are traveling at mph, which in this case is 320 mph.

320/4=80

The airplane will travel 80 miles in 15 minutes.

What is Distance?

The length along a line or line segment between two points on the line or line segment.

we need to use the formula of distance.

distance = speed × time

Since the speed of the airplane is 320 miles per hour, we need to convert 15 minutes to hours:

15 minutes = 15/60 = 0.25 hours

Now we can substitute the values into the formula:

distance = speed × time

distance = 320 × 0.25

distance = 80

Therefore, the airplane will travel 80 miles in 15 minutes.

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Elena went to a store where you can scoop your own popcorn and buy as
much as you want. She bought 10 ounces of spicy popcorn for $2.50.

Write two different equations that represent this situation. Use p for ounces of popcorn and c for cost in dollars.

HELP PLS EJDHWJDHJ

Answers

Answers:

c=0.25p

p=4c

c=.25p

c=1/4p

Hope I' not too late -w-'

The table shows the cost of ordering a certain number of pizzas. What is the
value of x if the cost is proportional to the number of pizzas ordered?

Answers

Answer:

y=px

so the answer would be $49.95

pretty sure

Step-by-step explanation:

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