1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Greeley [361]
3 years ago
14

What is the value of the discriminant of the quadratic equation −2x2 = −8x + 8, and what does its value mean about the number of

real number solutions the equation has?
The discriminant is equal to 0, which means the equation has no real number solutions.
The discriminant is equal to 0, which means the equation has one real number solution.
The discriminant is equal to 128, which means the equation has no real number solutions.
The discriminant is equal to 128, which means the equation has two real number solutions.
Mathematics
2 answers:
irakobra [83]3 years ago
8 0
The discriminant is b²-4ac
-2x²+8x-8=0
in this case, b=8, a=-2, c=-8
so b²-4ac=8²-4(-2)(-8)=0
choice B is correct. 
PIT_PIT [208]3 years ago
4 0

Answer:

B) The discriminant is equal to 0, which means the equation has one real number solution.

Step-by-step explanation:

The given equation is -2x^2 = -8x + 8

This can be rewritten as 2x^2 - 8x + 8 = 0

Here the value of a =2, b = -8 and c = 8

Discriminant = b^2 - 4ac

Now plug in the above values in the discriminant, we get

= (-8)^2 - 4*2*8

= 64 - 64

= 0

Here the discriminant is 0, so we will get one real root.

Therefore, the answer B) The discriminant is equal to 0, which means the equation has one real number solution.

Hope this will helpful.

Thank you.

You might be interested in
VERY EASY QUESTION. Write out this equation: ten times the sum of half a number and 6 is 8
bija089 [108]

Answer:

x

=

58

5

Step-by-step explanation:

10 times:

→

10

×

The sum of:

→

10

×

(

?

+

?

)

half a number:

→

10

×

(

x

2

+

?

)

and 6:

→

10

×

(

x

2

+

6

)

is 8 :

→

10

×

(

x

2

+

6

)

=

8

'~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

10

(

x

2

+

6

)

=

8

Multiply out the bracket

5

x

+

60

=

8

Subtract 60 from both sides

5

x

=

58

Divide both sides by 5

x

=

58

5

6 0
3 years ago
Read 2 more answers
What's the slope between (-2, 8) and (4, 20)
Inessa [10]

Answer:

2

Step-by-step explanation:

8 - 20 = -12

-2 - 4 = -6

-12/-6 = 2

5 0
3 years ago
Read 2 more answers
I want to visit a friend that lives 200 miles away. Gas is $4 a gallon. My car gets 50 miles every 2 gallons of gas. How can I s
Pavel [41]
If you are trying to figure out how much it will cost:
8 x 4 = 32 
Cost of gas = $32 
3 0
3 years ago
Initially a tank contains 10 liters of pure water. Brine of unknown (but constant) concentration of salt is flowing in at 1 lite
zhenek [66]

Answer:

Therefore the concentration of salt in the incoming brine is 1.73 g/L.

Step-by-step explanation:

Here the amount of incoming and outgoing of water are equal. Then the amount of water in the tank remain same = 10 liters.

Let the concentration of salt  be a gram/L

Let the amount salt in the tank at any time t be Q(t).

\frac{dQ}{dt} =\textrm {incoming rate - outgoing rate}

Incoming rate = (a g/L)×(1 L/min)

                       =a g/min

The concentration of salt in the tank at any time t is = \frac{Q(t)}{10}  g/L

Outgoing rate = (\frac{Q(t)}{10} g/L)(1 L/ min) \frac{Q(t)}{10} g/min

\frac{dQ}{dt} = a- \frac{Q(t)}{10}

\Rightarrow \frac{dQ}{10a-Q(t)} =\frac{1}{10} dt

Integrating both sides

\Rightarrow \int \frac{dQ}{10a-Q(t)} =\int\frac{1}{10} dt

\Rightarrow -log|10a-Q(t)|=\frac{1}{10} t +c        [ where c arbitrary constant]

Initial condition when t= 20 , Q(t)= 15 gram

\Rightarrow -log|10a-15|=\frac{1}{10}\times 20 +c

\Rightarrow -log|10a-15|-2=c

Therefore ,

-log|10a-Q(t)|=\frac{1}{10} t -log|10a-15|-2 .......(1)

In the starting time t=0 and Q(t)=0

Putting t=0 and Q(t)=0  in equation (1) we get

- log|10a|= -log|10a-15| -2

\Rightarrow- log|10a|+log|10a-15|= -2

\Rightarrow log|\frac{10a-15}{10a}|= -2

\Rightarrow |\frac{10a-15}{10a}|=e ^{-2}

\Rightarrow 1-\frac{15}{10a} =e^{-2}

\Rightarrow \frac{15}{10a} =1-e^{-2}

\Rightarrow \frac{3}{2a} =1-e^{-2}

\Rightarrow2a= \frac{3}{1-e^{-2}}

\Rightarrow a = 1.73

Therefore the concentration of salt in the incoming brine is 1.73 g/L

8 0
3 years ago
Find the face value of the 20-year zero-coupon bond at 4.4%, compounded semiannually, with a price of $8,375.
umka21 [38]

<u>Given</u>:

Time,

t = 20 years

Rate,

r = 4.4%

Price

= $8,375

Now,

The yield will be:

= \frac{4.4}{2}

= 1.1 (%)

Time will be:

= 20\times 2

= 40 \ periods

As we know the formula,

⇒ Price \ of \ bond = \frac{Face \ value}{(1+\frac{r}{2} )^{n\times 2}}

By substituting the values, we get

                   8375=\frac{Face \ value}{(1+\frac{0.044}{2} )^{20\times 2}}

                   8375=\frac{Face \ value}{(1.022)^{40}}

                   8375=\frac{Face \ value}{2.3880083}

The face value will be:

        Face \ value = 2.3880083\times 8375

                           =20,000 ($)

Learn more about face value here:

brainly.com/question/14862802

5 0
3 years ago
Other questions:
  • Sentence with this numérico expression 24-6+3
    5·1 answer
  • Simplify the expression.<br> 3 +22= 2 + 3
    9·2 answers
  • Slope between the points (-5,2) and (1,0)
    9·2 answers
  • What number is shown by the model?<br> A. 28<br> B. 2080<br> C. 208<br> o<br> D. 280
    15·2 answers
  • Which statement is correct?
    11·1 answer
  • Please help this is due soon 2
    5·2 answers
  • Sorry for asking again but I need help ASAP I will give you<br> 100 points and a brainiest
    14·1 answer
  • What’s the equation for g(x)=<br><br> Please HELPPP I AM FAILING THIS
    12·1 answer
  • Solve each equation.)<br><br> 9+t=35
    12·2 answers
  • write equation that has base of 3 stretched vertically by factor of 2/3 reflected in y axis, asymptote of y=2 and passes through
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!