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Lisa [10]
3 years ago
7

What is the value of the discriminant, b2 − 4ac, for the quadratic equation 0 = x2 − 4x + 5, and what does it mean about the num

ber of real solutions the equation has?
Mathematics
2 answers:
n200080 [17]3 years ago
8 0

Answer:

your quadratic equation is (-4)^2-4*1*5=16-20=-4, so there are no solutions.

Step-by-step explanation:

hope this helps

Aleksandr-060686 [28]3 years ago
3 0
So discriminant gives us 3 possibilites connected with result of the equation b^2-4ac. If it is bigger than zero, there are 2 solutions, if answer is exactly 0, then there is one answer and if the number is lower than 0, there are no solutions.

Discriminant of your quadratic equation is (-4)^2-4*1*5=16-20=-4, so there are no solutions.
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1c) What is 25% of 40?<br> 8.5
grin007 [14]

<em>2</em><em>5</em><em>%</em><em> </em><em>of</em><em> </em><em>4</em><em>0</em>

<em>=</em><em>2</em><em>5</em><em>/</em><em>1</em><em>0</em><em>0</em><em>×</em><em>4</em><em>0</em>

=<em>0</em><em>.</em><em>2</em><em>5</em><em>×</em><em>4</em><em>0</em>

<em>=</em><em>1</em><em>0</em><em> </em><em>answer</em><em>.</em>

8 0
3 years ago
A 12 foot ladder is leaning up against the side of a house the ladder makes an angle of 62° with the ground. How far up the side
Veseljchak [2.6K]

Answer:

Step-by-step explanation:

The ladder forms a right angle triangle with the house and the ground. The length of the ladder represents the hypotenuse of the right angle triangle. The height, h from the top of the ladder to the base of the house represents the opposite side of the right angle triangle.

The distance from the bottom of the ladder to the base of the house represents the adjacent side of the right angle triangle.

To determine the height, h that the ladder reaches, we would apply

the Sine trigonometric ratio.

Sin θ = opposite side/hypotenuse. Therefore,

Sin 62 = h/12

h = 12Sin62

h = 12 × 0.8829

h = 10.6 feet

4 0
3 years ago
Please help ♡♡♡♡♡♡♡♡​
tekilochka [14]

Answer:

26

Step-by-step explanation:

Complementary angles add to 90 degrees

a+b = 90

64+b = 90

Subtract 64 from each side

64-64 +b = 90-64

b = 26

7 0
3 years ago
Read 2 more answers
Carter is playing a video game. He needs to score more than 100 points to move on to the next level. Write an inequality to show
madreJ [45]
First to solve this problem you need to identify a variable to write the inequality.
Let
x = number of points that Carter scores.
The inequality can then be written as:
x> 100
answer:
an inequality to show how may points Carter needs to earn is
x> 100
7 0
2 years ago
Let f(x)=241+3e−1.3x . What is the point of maximum growth rate for the logistic function f(x) ? Round your answer to the neares
FromTheMoon [43]

Answer:

The point of maximum growth is at x=0.82

Step-by-step explanation:

Given a logistic function

f(x)=\frac{24}{1+e^{-1.3x}}

we have to find the point of maximum growth rate for the logistic function f(x).

From the graph we can see that the carrying capacity or the maximum value of logistic function f(x) is 24 and the point of maximum growth is at y=\frac{24}{2} i.e between 0 to 12

So, we can take y=\frac{24}{2} and then solve for x.

\frac{24}{2}=\frac{24}{1+e^{-1.3x}}

⇒ 2=1+3\exp{-1.3x}

⇒ 1=3.\exp{-1.3x} ⇒ \frac{1}{3}=\exp{-1.3x}

                             ⇒ log 3=-1.3x

                             ⇒ -0.4771=-1.3.x ⇒ x=0.82

Hence, the point of maximum growth is at x=0.82


5 0
3 years ago
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