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BigorU [14]
3 years ago
12

If X- 6 is the only x-intercept of the graph of a quadratic equation, which statement best describes the discriminant of the equ

ation?
A-The discriminant is 0.
B-The discriminant is 6.
C-The discriminant is positive.
D-The discriminant is negative.
Mathematics
2 answers:
Verdich [7]3 years ago
6 0
The rule, letting d=discriminant:

d>0, two real solutions

d=0, one real solution

d<0, no real solution (but there are two imaginary solutions)

So if it has only one real solution, the discriminant is equal to zero.
Tanya [424]3 years ago
4 0

Answer:

in short the anwser is A

Step-by-step explanation:

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Solve the initial value problem: y'(x)=(4y(x)+25)^(1/2) ,y(1)=6. you can't really tell, but the '1/2' is the exponent
goblinko [34]

Answer:

y(x)=x^2+5x

Step-by-step explanation:

Given: y'=\sqrt{4y+25}

Initial value: y(1)=6

Let y'=\dfrac{dy}{dx}

\dfrac{dy}{dx}=\sqrt{4y+25}

Variable separable

\dfrac{dy}{\sqrt{4y+25}}=dx

Integrate both sides

\int \dfrac{dy}{\sqrt{4y+25}}=\int dx

\sqrt{4y+25}=2x+C

Initial condition, y(1)=6

\sqrt{4\cdot 6+25}=2\cdot 1+C

C=5

Put C into equation

Solution:

\sqrt{4y+25}=2x+5

or

4y+25=(2x+5)^2

y(x)=\dfrac{1}{4}(2x+5)^2-\dfrac{25}{4}

y(x)=x^2+5x

Hence, The solution is y(x)=\dfrac{1}{4}(2x+5)^2-\dfrac{25}{4} or y(x)=x^2+5x

4 0
3 years ago
Two particles are projected simultaneously towards each other from opposite ends of a straight
Anit [1.1K]

Answer:

The problem with this question is that it is missing an important number, which is the length of the tube. Assuming that the tube is 10 meters long (=1,000 centimeters long)

time (in        distance traveled         distance traveled       distance

seconds)     by particle A in cms     by particle B in cms    between both

                                                                                              particles in cms

1                               97                            49                     854

2                               93                            47                     714

3                               89                            45                     580

4                               85                            43                     452

5                               81                            41                     330

6                               77                            39                     214

7                               73                            37                     104

8                               69                            35                     0

   

After 8 seconds both particles should meet. Particle A traveled 664 centimeters and particle B traveled 336 centimeters.    

8 0
3 years ago
How long will it take an airplane to travel 2000 miles if it flies 200 miles per hour, 400miles per hour, and 600 miles per hour
Dima020 [189]

Answer:

200 = 10 Hours, 400 = 5 Hours, 600 = 3 Hours & 18 Minutes.

Step-by-step explanation:

2000 / How many miles it travels per hour.

2000 / 200 = 10

2000 / 400 = 5

2000 / 600 = 3.3..

8 0
3 years ago
HELP ASAP FOR BRAINLIEST:
seropon [69]
T5-24. T6-17. T7-10. T8-3........... it goes down by 7
4 0
3 years ago
Read 2 more answers
2x - 6 = 0 and 2y = 10. Find 3^x/3^y.
pshichka [43]

Answer:

\dfrac{1}{9}

Step-by-step explanation:

2x - 6 = 0

\implies 2x = 6

\implies x=3

2y = 10

\implies y=5

\dfrac{3^x}{3^y}=\dfrac{3^3}{3^5}=\dfrac{1}{3^2}=\dfrac{1}{9}

7 0
3 years ago
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