Answer:
A
Step-by-step explanation:
Recall that for a quadratic equation of the form:
The number of solutions it has can be determined using its discriminant:

Where:
- If the discriminant is positive, we have two real solutions.
- If the discriminant is negative, we have no real solutions.
- And if the discriminant is zero, we have exactly one solution.
We have the equation:

Thus, <em>a</em> = 2, <em>b</em> = 5, and <em>c</em> = -<em>k</em>.
In order for the equation to have exactly one distinct solution, the discriminant must equal zero. Hence:

Substitute:

Solve for <em>k</em>. Simplify:

Solve:

Thus, our answer is indeed A.
Answer:
Hamburger = $6
Hotdog = $4
Step-by-step explanation:
136 - 14(2) = 108
108 / 13 + 14 = 4
If a hamburger is 2 dollars more than you would just add 2 to this
Respuesta:
8
Explicación paso a paso:
Si A, B y C son números enteros, según la propiedad distributiva;
A (B + C) = AB + AC
tenga en cuenta que A se distribuyó sobre B y C
Aplicando esto para expandir la expresión dada -4. (-5 + 3)
-4. (-5 + 3)
= -4 (-5) + -4 (3)
= 20 + (-12)
= 20 - 12
= 8
Por lo tanto, la respuesta requerida es 8
Answer:
Question 1: 11%
Question 2: 89%
Question 3: 43%
Question 4: 11%
Step-by-step explanation:
Looking at picture 1, we need to find the crossing point between -1.2 and 0.05. That has 0.1056, which is the same as 10.56%. 10.56% rounds to 11%, so C is our answer.
Picture 2 has the same chart, but we just need to find the inverse, since the inequality sign is flipped. 100 - 10.56 is 89.44%, which rounds to 89%, so D is the answer for Picture 2.
Picture 3 has two tables. 0.73 has 76.73% and -0.41 has 34.09%. Subtract 34.09% from 76.73% to get 42.64% That rounds to 43%, so A is the answer.
Picture 4 essentially has the same expression as Picture 2 (only the sign has switched): P(z ≥ 1.25). The meeting point is 89.44%. Now, subtract that from 100 to get 10.56%, which rounds to 11%. C is our answer for Picture 4.
I hope this helps you! ^w^
Given : Diameter of the right circular cone ==> 8 cm
It means : The Radius of the right circular cone is 4 cm (as Radius is half of the Diameter)
Given : Volume of the right circular cone ==> 48π cm³
We know that :

where : r is the radius of the circular cross-section.
h is the height of the right circular cone.
Substituting the respective values in the formula, we get :




<u>Answer</u> : Height of the given right circular cone is 9 cm