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2 years ago

Consider the following linear equations. y = 2x + 5 y = 2x - 3 Which statement below if True?

Mathematics

1 answer:

djverab [1.8K]2 years ago

5 0

Answer:

Step-by-step explanation:

One of the lines is going to have the y-intercept of -3

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Need help with Math (Quadratic)

BaLLatris [955]

Answer:

f(x) = 2(x -3)² +5 or f(x) = 2x² -12x +23

Step-by-step explanation:

The equation of a quadratic is easily written in vertex form when the coordinates of the vertex are given. Here, the point one horizontal unit from the vertex is 2 vertical units higher, indicating the vertical scale factor is +2.

<h3>vertex form</h3>

The vertex form equation for a parabola is ...

f(x) = a(x -h)² +k . . . . . . vertex (h, k); vertical scale factor 'a'

<h3>equation</h3>

For vertex (h, k) = (3, 5) and vertical scale factor a=2, the vertex form equation of the parabola is ...

f(x) = 2(x -3)² +5 . . . . . vertex form equation

Expanded to standard form, this is ...

f(x) = 2(x² -6x +9) +5

f(x) = 2x² -12x +23 . . . . . standard form equation

8 0

2 years ago

What is the opposite of the opposite of 8?<br> A.8<br> B.1/8<br> C .-8<br> D -1/8

egoroff_w [7]

Answer :

C. -8

Hope this helps!

4 0

3 years ago

Read 2 more answers

Write logb(x/y) as two logs

Makovka662 [10]

Answer:

$log_{b}(x) - log_{b}(y)$

5 0

2 years ago

Select all of the following tables which represent y as a function of and are one-to-<br> one.

zvonat [6]

Answer:

Option 3

Step-by-step explanation:

Each value of x maps onto one value of y and vice versa.

5 0

2 years ago

What’s the answer to this equation?

Tresset [83]

Answer:

Part A) The graph in the attached figure

Part B) see the explanation

Step-by-step explanation:

Part A) Graph the function

we have the quadratic function

$y=3x^2-12x-36$

This is a vertical parabola open upward

The vertex is a minimum

using a graphing tool

The graph in the attached figure

Part B) What are the values of a, b and c?

we know that

The values of a and b represent the x-intercepts of the quadratic equation

The x-intercepts are

(-2,0) and (6,0)

$a=-2\\b=6$

Find the value of c

we know that

The x-coordinate of the vertex in a vertical parabola is equal to the midpoint of the roots

The value of c is equal to

$c=\frac{a+b}{2}$

substitute the given values

$c=\frac{-2+6}{2}=2$

see the attached figure

7 0

3 years ago