In a quadratic function, recall that the discriminant D = b2 - 4ac. For which function is it true that a < 0 and D = 0?

Answers

Answer 1

Answer:

If D = 0, then the quadratic equation has 1 solution x = − b/2a

Step-by-step explanation:

If we have a quadratic equation x² +3x-4= 0

Then the corresponding values of a= 1, b=3, c= -4

Finding the discriminant gives

D=  b2 - 4ac.

D= 3²- 4(1) (-4)

D= 9 + 16

D= 25  

Here a> 0

But if a< 0  e.g a= -1

D=  b2 - 4ac.

D= 3²- 4(-1) (-4)

D= 9 - 16

D= -7  

Here a < 0 so we get the answer -7  < 0

D=  b2 - 4ac.

D= 4²- 4(-1) (-4)

D= 16 - 16

D= 0  

Here a< 0 and b= - c so that D= 0

When D < 0 roots do not exist.

If D = 0, then the quadratic equation has 1 solution x = − b/2a

This can be found out by using the quadratic formula

x= -b±√b²- 4ac/ 2a

But D= 0

x= -b±0/ 2a

x= -b/2a


Related Questions

resolucion de ese ejercicio por favor

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Answer:

what?

Step-by-step explanation:

..................................................

AYUDA!!!!!!!!
URGENTE!!!!!!
PARA AHORITA PORFA!!!!!!!

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huh you don’t think so it’s ok ok i’m the devil www

HELPPP PLZZZZ ASAP IS PLEASEEE DONT SEND A FILE AT ALL

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Answer:

Answer:

(5, -1) = Vertex G

(5, 3) = Vertex E

(-1, -1) = Vertex F

PLS HELP ME ON THIS , WILL MARK BRAINLIEST

Answers

Answer:

The answers are no, no, yes, no

Which piecewise relation defines a function?
x², X<-2
O y=0, -2 -X?. x24
x² xs-2
O y =
4, -2 x2 +1, x22
(-3x, X<-2
O y =
3, 0 2x, x4
(-3x, XS-4
O y= 3, -5

Answers

The piecewise relation which defines a function is option B.

What is a function?

A function can be defined as a mathematical expression that defines and represents the relationship between two or more variable.

The types of function.

In Science, there are different types of functions and these include the following;

Periodic functionInverse functionModulus functionSignum functionPiece-wise defined function

A piecewise-defined function refers to a type of function that is defined by two (2) or more mathematical expressions (equations) over a specific domain. As an example, we have:

[tex]F(x)=\left \{ {{x^3-4} \atop {x+3}} \right.[/tex]

Read more on function here: https://brainly.com/question/4246058

Is the following a true or false statement about this rectangle? I have 2 pairs of sides of equal length.

Answers

Answer:

A rectangle has two pairs of opposite sides parallel, and four right angles. It is also a parallelogram, since it has two pairs of parallel sides. ... It is also a rectangle and a parallelogram. A rhombus is defined as a parallelogram with four equal sides.

Step-by-step explanation:

In ΔLMN, l = 6.9 cm, m = 8.1 cm and n=8.8 cm. Find the measure of ∠N to the nearest 10th of a degree.

Answers

Answer:

71.3

Step-by-step explanation:

trust me.. delta 2021

PLS HELP I WILL GIVE BRAINLIEST 1- If you are driving at a constant speed of 55 miles per hour, give an estimate of how many miles you will travel in 1 hour and 20 minutes.

2-Anthony paid $36.25 for about 11.5 gallons of gas. Estimate the price for one gallon of gas.

Write an expression that represents each statement.
3.The total cost of my cell phone bill for the 1st month, if I am charged a standard installation fee of $50 plus .50 cents for each channel that I have in my package.

Answers

Answer:

1- 72 miles

2-$3

3- 50(0.50 x c)

Step-by-step explanation:

For Number 1 we have to do 55 divided by 60 which is about 0.90 and then we multiply that by 1 hour and 20 minutes which in minutes is 80. 0.90 x 80 = 72 exactly.

For Number 2 we have to divide 36.25 by 11.5 rounded is 36/12 whish is 3.

For number 3 c stands for number of channels

Hope i could help! :DD

What is the factorization of the trinomial below?
x² - 6x + 5
A. (x+4)(x-2)
B. (X - 5)(x - 1)
C. (x+5)(x - 1)
D. (x-4)(x - 2)

Answers

Answer:

B)

Step-by-step explanation:

Please help me pretty please

Answers

Answer:

28.6

Step-by-step explanation:

Pathagorem therom

based on pythagoras theorem, a right angle triangle's side is a²+b²= c²,

c is the hypotenuse, which is the longest side and the opposite of the right angle

c²= 26²+12²c²= 676+144c²= 820 c= ✓820 c= 28.6357...inch

Jayson wrapped plastic around a carrot shaped like
a cone to create a mold for a project. The carrot had
a slant height of 6 inches and a diameter of 12
inches. Which is closest to the amount of plastic he
will use?
A:226 square inches
B:113 square inches
C:452 square inches
D:678 square inches

Answers

Answer:

113.04

Step-by-step explanation:

the formula for the lateral surface area of a cone (all i mean is the area up the sides and not the area of the circle on the of the cone) is the

slant height times r times pi        

so put in the variables(diameter/2 = r so 12/2 = 6)

6*6*3.14 = 113.04

Work Out The Area Of The Shape:

(Picture is shown in attachment)

Answers

Answer:

Solution :-

The given shape is known as Trapezium or Trapezoid.

Area of trapezium = ½(Sum of parallel dides) × Height

Area = ½ (3 + 6) × 4

Area = (3 + 6) × 2

Area = 9 × 2

Area = 18 m²

[tex] \\ [/tex]

Bob has a coin cup with four $1 tokens and two $5 tokens in it. He also has two $10 tokens and one $25 token in his pocket. He
randomly draws a token from the cup, and then randomly draws a token from his pocket. What is the probability that he will draw
$30 in tokens?
A. 1/3
B. 1/9
C. 2/9
D. 4/9

Answers

Answer:

;-;

There is no 30$ tokens

Step-by-step explanation:

i guess its A or b

like the heck

Answer:

n[$1]=4

n[$5]=2

n[$10]=2

n[$15]=1

n[total]=9

getting 10=2/9

what is 7 divided by 80?

Answers

Answer:

7 divided by 80 is 0.0875 .

Answer:

0.0875 as a decemial or 7/80 as a fraction

Step-by-step explanation:

The radius of a circle is 25 centimeters.
.Enter the circumference of the circle, in centimeters. Round your answer to the nearest hundredth

Answers

Answer:

157.08

Step-by-step explanation:

The formula for circumference is 2πr.

2πr = 2π25 = 50π = 157.079 = 157.08

3/5 + 3 1/2
Imma Need some help

Answers

Answer:

[tex]4\frac{1}{10}[/tex]

Step-by-step explanation:

Multiply 3/5 by 2 and multiply 1/2 by 5 to have equal denominators of 10.

6/10 + 3 5/10

Now just add them together to get 3 11/10.

Then finally simplify.

3 11/10 ---> 4 1/10

Fourteen years time a mother will be twice as old as her son.Four years ago the sum of their ages was thirty .Find their ages

Answers

Answer:

son=12 years

Step-by-step explanation:

mother= 26 years

thats my answer please help me to my question

85 orders in 17 days = ? orders in 12 days

Answers

Answer:

60

Step-by-step explanation:

Let the order be x

Solution

85/x= 17/12

1020=17x

1020/17=x

x=60

Split £180 into a 7 : 5 ratio

Answers

7 + 5 = 12
180 / 12 = 15
7 x 15 = 105
5 x 15 = 75
£105 : £75

The splitted bill of  £180 into a 7 : 5 ratios are  £105 and  £75 respectively.

What are ratio and proportion?

A ratio is a comparison between two similar quantities in simplest form.

Proportions are of two types one is the direct proportion in which if one quantity is increased by a constant k the other quantity will also be increased by the same constant k and vice versa.

In the case of inverse proportion if one quantity is increased by a constant k the quantity will decrease by the same constant k and vice versa.

Given, A bill has to be split £180 in the ratio of 7 : 5.

One part is (7/7 + 5)×180.

= (7/12)×180.

= 105.

Another part is (5/7 + 5)×180.

= (5/12)×180.

= 75.

learn more about proportion here :

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What is the angle of depression from the top of a 400-fc foot cable that runs from a towel to a point 325 feet away

Answers

45.6 degrees
Step-by-step explanation



First of all this needs to be recognized as a right triangle problem. The angle of depression is the angle outside the triangle that is complementary to the vertex angle (the angle at the top). Geometrically, this angle is congruent to the base angle inside the triangle (NOT the right angle).

Vertie rode 3.5 kilometers on a bike. His friend Valene rode 2 000
meters on a bike.
How much farther in kilometers did one person ride than the other?

Answers

Answer:

1.5

Step-by-step explanation:

Vertie rode 3.5 kilometers on a bike. His friend Valene rode 2 000

meters on a bike. 1.5 kilometers farther one person ride than the other.

What is the unitary method?

The unitary method is a method for solving a problem by the first value of a single unit and then finding the value by multiplying the single value.

Vertie rode 3.5 kilometers on a bike. His friend Valene rode 2 000

meters on a bike.

We know that

one kilometer = 1000 meters

or

1 meter = 1/1000 km

2000 meter will be equal to

2000/1000 = 2 km

So, the difference between the ride of the friends would be

3.5 km - 2 km

= 1.5 km

Learn more about the unitary method;

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11) Solve for X. (round to nearest tenth)

Answers

this trangle is square angle trangle 90

19+24=43

90-43=47 answer is 47

Answer:

tan 24 degrees = perpendicular/ base

tan 24= x/19

0.445= x/19

0.445×19 = x

x = 8.445, answer

What is the answer?











I need help like... ASAP

Answers

No, they are not congruent.

Congruency is defined as moving, rotating, etc. without changing its shape or size.

test worth 75 points; test score 96% write a proportion

Answers

Answer:

72

Step-by-step explanation:

Answer:

the radius is 7

Step-by-step explanation:

What is the circumference of a 2 m circle

Answers

Answer:

4 π m

Step-by-step explanation:

brainliest pls

Answer:

4π m

Step-by-step explanation:

Formula for finding circumference = [tex]2\pi r[/tex] (where 'r' = radius of circle)

Now, according to the question -

Radius of the circle = 2 m

So , by using the formula , circumference = [tex]2 \times \pi \times 2 = 4\pi[/tex] m.  

265.6 is what percent of 256 rounded to the nearest tenth

Answers

Answer:

103.75 %

Step-by-step explanation:

[tex] \frac{265.6}{256} \times 100[/tex]

Take 265.6 and divide it by your original number of 256. Now multiply this resultant by 100 to see your final answer rounded to the nearest 10th.

Answer:

256:265*100 =

(256*100):265 =

25600:265 = 96.6

Step-by-step explanation:

Percentage solution with steps:

Step 1: We make the assumption that 265 is 100% since it is our output value.

Step 2: We next represent the value we seek with $x$x.

Step 3: From step 1, it follows that $100\%=265$100%=265.

Step 4: In the same vein, $x\%=256$x%=256.

Step 5: This gives us a pair of simple equations:

100%=256(1)

x%=256(2)

Step 6: By simply dividing equation 1 by equation 2 and taking note of the fact that both the LHS

(left hand side) of both equations have the same unit (%);

100%/x% = 256/256

Step 7: Taking the inverse (or reciprocal) of both sides yields

x%/100%=256/256

-->x=96.6%

Therefore, 256 is 96.6% of 265

In \triangle VWX,△VWX, \angle X \cong \angle W,∠X≅∠W, WX = 18WX=18 and VW = 16VW=16. Find the length of XV.XV.

Answers

Answer: 16

Step-by-step explanation:

1/2 divided by n = 1/8

Answers

1/2 divide by 4/1 = 1/8
when u divide u flip the second fraction around and multiply
1/2 x 1/4 = 1/8

Amber surveyed a random sample of 100 students from her middle school to learn more about what type of school lunches are preferred. The table below shows the result of the survey:

Hamburgers Spaghetti Pizza
Sample #1 44 43 13
Sample #2 39 41 20
Which of the following inferences can be made based on the data? (5 points)

a
Hamburgers are the most preferred lunch.

b
Pizza is two times more popular than spaghetti.

c
Pizza is two times more popular than hamburgers.

d
Hamburgers and spaghetti are preferred almost equally.

Answers

Answer:

d Hamburgers and spaghetti are preferred almost equally.

y = 5x^2 - 10
what is the rate of change ?
is the function linear or non linear ? why ?

Answers

Answer:

Step-by-step explanation:

Are you in Calculus?  These are calculus concepts!

To calculate the rate of change here you must specify an interval, e. g., "what is the rate of change on the interval (0, 3)?"

If you know calculus:  The 'rate of change' on the interval (a, b) is

                f(b) - f(a)

r. of c. = --------------------

                    b - a

Have you used this formula before?

Because of the 'x^2' term this is NOT a linear function.

If you want more explanation, provide an interval on which you want the average rate of change and ask specific questions of your own.

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