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3 years ago

Choose the correct x-intercepts for the following quadratic function.

1 answer:

8 0

Brainly doesn't automatically "know" every part of the problems you post here; you have to ensure that your post includes everything in the original problem.

We can still have some fun with answer choice <span>x = 1, x = 3:

An associated quadratic function would have the form y = a(x-1)(x-3). Just supposing that the point (2, 5) were on the graph, then this </span>y = a(x-1)(x-3) would become 5 = a(2-1)(2-3), or 5 = a(1)(-1), or 5 = -a, or a = -5.

Thus, the equation of the parabola would be y = -5(x-1)(x-3), or, in the more usual form, y = -5(x^2 - 4x + 3).

Complete the square to find the vertex:

Steal y = x^2 - 4x + 3 for a moment and complete the square:

x^2 - 4x + 3 = x^2 - 4x + 4 - 4 + 3, or (x-2)^2 - 1

Subbing this back into y = -5(x^2 - 4x + 3), we get

y = -5 [ (x-2)^2 -1 ], or y = -5(x-2)^2 + 5. This shows that the vertex is at (2, 5), that the graph opens downward, and the graph is symm. about the line x = 2.

Having fun yet?

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marishachu [46]

Answer:

ep 1: Put the numbers in order. ...

Step 2: Find the median. ...

Step 3: Place parentheses around the numbers above and below the median. Not necessary statistically, but it makes Q1 and Q3 easier to spot. ...

Step 4: Find Q1 and Q3. ...

Step 5: Subtract Q1 from Q3 to find the interquartile range.

Step-by-step explanation:

i am just giving u step but i dont know the answer

4 0

3 years ago

Read 2 more answers

FILL IN THE BLANKS: Given P(x) = 3x5 + 7x6 + 11x7 – 12x - 10

Mama L [17]

The polynomial $3x^5 + 7x^6 + 11x^7 - 12x - 10$ is in standard form if the exponents are arranged in decreasing order.

<h3>Polynomial in Standard Form</h3>

Polynomial is an algebraic expression with one or more terms. For example : $2x^3+6x^4+x^2+x+2$ . In this example and in your exercise the exponents of the terms are not arranged in order.

Um polynomial is in <u>Standard Form</u> when the exponents of the terms are in decreasing order. See more details below.

$2x^3+6x^4+x^2+x+2$ is not in standard form because the exponents are not written in decreasing order.

$6x^4+2x^3++x^2+x+2$ is in standard form because the exponents are written in decreasing order.

Therefore, the given polynomial will be in standard form if yours exponents are arranged in decreasing order.

Read more about polynomials here:

brainly.com/question/4142886

4 0

3 years ago

Drag a statement or reason to each box to complete this proof.

alukav5142 [94]

The table to complete the proof is as follows

Equation statement

1. m∠ABD = 60°, m∠DBC=40° Given

2. m∠ABD + m∠DBC = m∠ABC Angle Addition Postulate

3. 60° + 40° = m∠ABC Substitution Property of Equality

4. 100° = m∠ABC Simplifying

5. ∠ABC is an obtuse angle. greater than 90 degrees

6. △ABC is an obtuse triangle. Definition of obtuse triangle

<h3>What is obtuse angles?</h3>

When an angel is greater than 90 degrees the angle is said to be an obtuse angle.

For the question solved here m∠ABC is greater than 90 degrees hence an obtuse angle.

Read more on angles here: brainly.com/question/25716982

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8 0

1 year ago

Plz help i know you are smart

stellarik [79]

Answer:

The numbers on the axis need to follow a repeating pattern

I think it's the last one coz in the graph, 50 jumps to 58 which breaks the repeating rule of 5

7 0

3 years ago

I need this asap ty:p

Anastasy [175]

Answer:

(a) x = -2y

Step-by-step explanation:

You can tell if an equation is a direct variation equation if it can be written in the format y = kx.

Note that there is no addition and subtraction in this equation.

Let's put these equations in the form y = kx.

(a) x = -2y

y = x/-2 → y = -1/2x
This is equivalent to multiplying x by -1/2, so this is an example of direct variation.

(b) x + 2y = 12

2y = 12 - x
y = 6 - 1/2x
This is not in the form y = kx since we are adding 6 to -1/2x. Therefore, this is <u>NOT</u> an example of direct variation.

-2y = -3x
y = 3/2x
This follows the format of y = kx, so it is an example of direct variation.

(d) 5x² + y = 0

y = -5x²
This is not in the form of y = kx, so it is <u>NOT</u> an example of direct variation.

(e) y = 0.3x + 1.6

1.6 is being added to 0.3x, so it is <u>NOT</u> an example of direct variation.

(f) y - 2 = x

y = x + 2
2 is being added to x, so it is <u>NOT</u> an example of direct variation.

The following equations are examples of direct variation:

x = -2y
3x - 2y = 0

7 0

3 years ago

Read 2 more answers