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?
Answers
Answer:
Yes because they both only have one zero so the discriminant for both is 0
Step-by-step explanation:
explanation above lol
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
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
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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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.
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:
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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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 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
What is the image of (0,–8) after a reflection over the line y = –2?
Answers
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.
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:
if x=3 which shape has a greater perimeter
Answers
Answer:
Quadrilaterial 1
Step-by-step explanation:
Please help due NOW PLEASE HELP!!
Will mark as brilliant
Answers
32 x 4 = 128
32 x 8 = 256
Please hurry bb :) Please don't put the wrong answer if u don't know <3
Answers
799 and that’s less.
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.
Please help will mark brainliest if correct
Answers
Answer:
B ------- DE ≅ RS
it's B because DE and RS both contain the equal angles.
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:
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-'
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)
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:
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
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
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
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
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
59,580/2 = 29,790
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:
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
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
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)
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]
HELP ME PLEASE How long ago did humans change from living as hunter-gatherers to living in settlements and practicing agriculture?
Answers
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:
