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Pavel [41]
3 years ago
7

Does the value of c in the quadratic function y = ax2 + bx + c affect the vertical position of the vertex of the graph? Explain

why or why not.
A. No; the position of the axis of symmetry and hence the vertex point is affected only by the values of a and b.
B. Yes; changing the value of c shifts the entire graph, including the vertex point, up or down.
C. No; changing the value of c shifts entire graph left or right. It does not affect the vertical position of the vertex.
D. Yes; increasing c shifts the vertex point down.
Mathematics
1 answer:
alex41 [277]3 years ago
3 0
A no the position is not affected
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I need to find the answer to this question and please explain how.
deff fn [24]

Among the given statements, the true statements are:

  • If a number is divisible by 3 and 4, then it is divisible by 12.
  • The number 119 is a composite number.

In the question, we are asked for the true statements among the given options:

1. All even numbers are composite numbers.

Answer - False

Reason - 2 is an even number, which is not a composite number.

2. If a number is divisible by 3 and 4, then it is divisible by 12.

Answer - True

Reason - If any number, n, is divisible by any two numbers, x and y, then it is also divisible by their LCM, and the LCM of 3 and 4 is 12.

3. All prime numbers are odd numbers.

Answer - False

Reason - 2 is a prime number, which is not odd.

4. The number 119 is a composite number.

Answer - True

Reason - The number 119 is a composite number, as it is not a prime number, as it is divisible by 7 and 17 too, other than 1 and itself.

5. 12 is a factor of 6.

Answer - False.

Reason - When 6 is divided by 12, the integral quotient that we get is 0, and the remainder is 6, but for any number x, to be a factor of y, on dividing y by x, the remainder should be 0.

6. If a number is divisible by 6 and 4, then it is also divisible by 4.

Answer - False

Reason - If any number, n, is divisible by any two numbers, x and y, then it is also divisible by their LCM, and the LCM of 6 and 4 is 12.

Thus, a number divisible by 6 and 4 is divisible by 12 but not necessarily by 24. Example 12 is divisible by both 6 and 4 but not divisible by 24.

Thus, among the given statements, the true statements are:

  • If a number is divisible by 3 and 4, then it is divisible by 12.
  • The number 119 is a composite number.

Learn more about divisibility at

brainly.com/question/26789053

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8 0
2 years ago
Quadrilateral ABCD has vertices A(1, -3) , B(2, 1), C(6, 3), and D(7, -1). Prove or disprove that the Quad ABCD is a rectangle.
zavuch27 [327]
If AC=BD, than Quad ABCD is a rectangle
AC
√(3+3)²+(6-1)²
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√36+25
√61
BD
√(1+1)²+(2-7)²
√2²+(-5)²
√4+25
√29
Quad ABCD is not a rectangle because √61 and √29 are not equal.
7 0
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The perimeter of a triangle is 27 centimeters. Two sides of the triangle are 7 centimeters and 13 centimeters. Find the length o
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the initial vertical velocity of a rocket shot straight up is 42 meters per second. How long does it take for the rocket to retu
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It takes 4.3 seconds for the rocket to return to earth.

The equation is:
0=-9.8t^2+v_0t+h_0
where -9.8m/sec² is the acceleration due to gravity, v₀ is the initial velocity, and h₀ is the initial height.  We will go from the assumption that the rocket is launched from the ground, so h₀=0, and we are told that the initial velocity, v₀, is 42.  This gives us:

0=-9.8t^2+42t

We will use the quadratic formula to solve this.  The quadratic formula is:
x=\frac{-b\pm \sqrt{b^2-4ac}}{2a}

Plugging in our information we have:
t=\frac{-42\pm \sqrt{42^2-4(-9.8)(0)}}{2(-9.8)}
\\
\\=\frac{-42\pm \sqrt{1764-0}}{-19.6}
\\
\\=\frac{-42\pm \sqrt{1764}}{-19.6}
\\
\\=\frac{-42\pm 42}{-19.6}=\frac{-42-42}{-19.6} \text{ or } \frac{-42+42}{-19.6}
\\
\\=\frac{-84}{-19.6}\text{ or }\frac{0}{-19.6}
\\
\\=4.3\text{ or }0

x=0 is when the rocket is launched; x=4.3 is when the rocket lands.
8 0
3 years ago
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