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
mash [69]
3 years ago
11

Consider the quadratic equation x? = 4x - 5. How many solutions does the equation have? A The equation has one real solution. Th

e equation has two real solutions. The equation has no real solutions. D The number of solutions cannot be determined​
Mathematics
1 answer:
anzhelika [568]3 years ago
4 0

Answer:

{-1, 5} (two real solutions).

Step-by-step explanation:

On the left side we want x^2, not x?

We need to rewrite x? = 4x - 5 in standard form, that is, as a quadratic with x terms in decreasing powers of x:

x^2 - 4x + 5 = 0

This factors easily to (x - 5)(x + 1) = 0.

We let each factor equal zero (0) separately and solve for x:  

{-1, 5} (two real solutions).

You might be interested in
For a recent year, 38 more Democrats than Republicans represented a country. If the total number of representatives of the count
Fantom [35]

Second question isn't well formatted

Answer:

Number of republicans = 207

Number of democrats = 245

Step-by-step explanation:

Let :

Number of republicans = x

Number of democrats = x + 38

Total number of representatives from the two parties = 452

Tge number of representatives from each party can be calculated thus ;

Number of democrats + number of republicans = total number of representatives

(x + 38) + x = 452

x + 38 + x = 452

2x = 452 - 38

2x = 414

x = 414 / 2

x = 207

Number of republicans = 207

Number of democrats = 207 + 38 = 245

3 0
3 years ago
PLEASE HELP EASY AS SOON AS POSSIBLE <br> 25 PTS
Korolek [52]

Answer:

P(not blue) = 3/5

Step-by-step explanation:

There are 4 blue shirts, 2 brown shirts , 2 green shirts, 1 red shirt and 1 white shirt for a total of 10 shirts

How many shirts are not blue?

2 brown shirts , 2 green shirts, 1 red shirt and 1 white shirt for a total of 6 shirts  

P( not a blue shirt) = not a blue shirt/total

                               = 6/10

                                =3/5

7 0
3 years ago
What is the equation of the line in the graph
earnstyle [38]

b = - 4

slope m = (0 + 4)/(4 - 0) = 4/4 = 1

equation

y = x - 4

7 0
3 years ago
A rectangle is inscribed with its base on the x-axis and its upper corners on the parabola y = 5 − x 2 . What are the dimensions
kherson [118]

Answer:

A rectangle is inscribed with its base on the x-axis and its upper corners on the parabola

y=5−x^2. What are the dimensions of such a rectangle with the greatest possible area?

Width =

Height =

Width =√10 and Height = \frac{10}{4}

Step-by-step explanation:

Let the coordinates of the vertices of the rectangle which lie on the given parabola y = 5 - x² ........ (1)

are (h,k) and (-h,k).

Hence, the area of the rectangle will be (h + h) × k

Therefore, A = h²k ..... (2).

Now, from equation (1) we can write k = 5 - h² ....... (3)

So, from equation (2), we can write

A =h^{2} [5-h^{2} ]=5h^{2} -h^{4}

For, A to be greatest ,

\frac{dA}{dh} =0 = 10h-4h^{3}

⇒ h[10-4h^{2} ]=0

⇒ h^{2} =\frac{10}{4} {Since, h≠ 0}

⇒ h = ±\frac{\sqrt{10} }{2}

Therefore, from equation (3), k = 5 - h²

⇒ k=5-\frac{10}{4} =\frac{10}{4}

Hence,

Width = 2h =√10 and

Height = k =\frac{10}{4}.

8 0
3 years ago
Evaluate the piecewise function at the given values of the independent variable solver
Goryan [66]
X | x ≤ 1} and {x | x ≥ 1}{x | x < 1} and {x | x > 1}<span>{x | x ≤ 1} or {x | x ≥ 1}

.

</span>
5 0
3 years ago
Other questions:
  • over the past ten years, the town's population doubled in size. the population is currently 12,000. what was the population ten
    14·2 answers
  • PLEASE HELP, DUE! What is the measure in radians for the central angle of a circle whose radius is 6.5cm and intercepted arc len
    8·1 answer
  • Sam is the perpendicular bisectors of tr. angle tsr=120. Find angle str
    5·1 answer
  • Write 2n^4 without Exponents
    7·2 answers
  • N is a positive integer.Explain why n(n-1) must be an even number.
    9·1 answer
  • A park is mapped on a coordinate plane, where C1, C2, C3, and C4 represent chairs and SW1, SW2, and SW3 represent swings. How fa
    14·2 answers
  • PLEASE HELP FAST IF YOU ARE GOOD AT GEOMETRY:<br> AREA OF THESE SHAPES::
    15·1 answer
  • Pls help, <br><br> 6(d+1)−2d=54
    8·1 answer
  • Helppppppppppppppppppppppppppppppppppppppp?
    10·1 answer
  • A company sells bicycle locks with a combination made of 3 numbers. Each number can be any digit from 0 to 9 and the digits may
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!