Which equation represents a parabola that has a minimum value at y=4

This is an angle whose measure is exactly 90°

Radda [10]

Answer:

A right angle

Step-by-step explanation:

5 0

3 years ago

Read 2 more answers

Lucille wants to carpet her family room. Her family room is rectangular and has a length of 21 feet and a width of 17 feet. How

madreJ [45]

Answer:

$803.25

Step-by-step explanation:

Given data

Dimension for the room

Length= 21 ft

Width= 17ft

Area= L*W

Area= 21*17

Area= 357 ft^2

Lucy will need to get 357ft^2 of carpet

We are given that a square ft cost $2.25

Hence to carpet the room the cost will be $2.25*357= $803.25

3 0

2 years ago

Rewrite the equation by completing the square 4x^2-4x+1=0

oee [108]

Answer:

4(x - $\frac{1}{2}$ )² = 0

Step-by-step explanation:

Given

4x² - 4x + 1 = 0

To complete the square the coefficient of the x² term must be 1

Factor out 4 from 4x² - 4x

= 4(x² - x) + 1 = 0

add/subtract ( half the coefficient of the x- term )² to x² - x

4(x² + 2(- $\frac{1}{2}$ )x + $\frac{1}{4}$ - $\frac{1}{4}$ ) + 1 = 0

4(x - $\frac{1}{2}$ )² - 1 + 1 = 0

4(x - $\frac{1}{2}$ )² = 0

8 0

2 years ago

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Determine whether each graph represents a linear or nonlinear function. Use the

ANTONII [103]

Answer:

x-intercepts: -3, -2, -1, 1, 2
y-intercept: 12
symmetry: none

Step-by-step explanation:

The x- and y-intercepts are the points where the graph crosses the x- and y-axes, respectively. If an odd-degree polynomial function has any symmetry, it will be symmetrical about the origin.

<h3>X-intercepts</h3>

The graph shows crossings of the x-axis at -3, -2, -1, 1, and 2. These are the x-intercepts. Expressed as coordinate pairs, each will have a y-coordinate of zero:

(-3, 0), (-2, 0), (-1, 0), (1, 0), (2, 0)

<h3>Y-intercepts</h3>

If the function is not vertically scaled, the y-intercept of an odd-degree function will be the opposite of the product of the x-intercepts:

-(-3)(-2)(-1)(1)(2) = 12

It will have an x-coordinate of zero:

(0, 12) . . . y-intercept

A function can have at most 1 y-intercept.

<h3>Symmetry</h3>

There are two features of this graph that tell you it is an odd-degree function:

the end behavior is in opposite directions
there are an odd number of x-intercepts (x-axis crossings)

An odd-degree function will only be symmetrical about the origin. This function has more negative x-intercepts than positive ones, so is not symmetrical about the origin.

The graph has no symmetry.

__

<em>Additional comment</em>

Turning points without an x-axis-crossing on either side, or axis "touches" (not crossing) signify complex or even-multiplicity roots. The function will only be of odd degree if there are an odd number of x-axis crossings.

The end behavior of an odd-degree function will be in opposite directions: the infinity will match the sign of x if the leading coefficient is positive, or be opposite to the sign of x if the leading coefficient is negative.

7 0

1 year ago

a triangular flower bed needs a thin metal border all the way around it. The sides are 7 feet, 6 feet, and 9 feet long.

kotegsom [21]

Excuse my awful triangle drawing skills, haha..
So essentially you need to find the perimeter which is done by adding the lengths of the sides.. this gives you 22ft.
Then for part b you need to convert 22ft to yards which gives you 7.3 yards.
Since you can only buy a whole number of yards, you'll actually need 8 yards.
So if the boarder is $8.75 per yard, and you need 8 yards, how much would it cost?
Hope this was helpful.

7 0

3 years ago