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4 years ago

WILL MARK BRAINLEST AGAIN ,PLEASE HELP!!!!

Mathematics

1 answer:

SVEN [57.7K]4 years ago

8 0

answer answer is A.

A relation is a set of numbers that have a relationship through the use of a domain and a range, while a function is a relation that has a specific set of numbers that causes there to be only be one range of numbers for each domain of numbers. All functions are relations, but all relations are not functions. hope this helps but read this anyway

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Select the function that represents a parabola with zeros at x = –2 and x = 4, and y-intercept (0,–16). A ƒ(x) = x2 + 2x – 8 B ƒ

Ahat [919]

Answer:

D. $f(x) = 2\cdot x^{2}-4\cdot x -16$

Step-by-step explanation:

Any parabola is modelled by a second-order polynomial, whose standard form is:

$y = a\cdot x^{2}+b\cdot x + c$

Where:

$x$ - Independent variable, dimensionless.

$y$ - Dependent variable, dimensionless.

$a$ , $b$ , $c$ - Coefficients, dimensionless.

In addition, a system of three linear equations is constructed by using all known inputs:

(-2, 0)

$4\cdot a -2\cdot b + c = 0$ (Eq. 1)

(4, 0)

$16\cdot a + 4\cdot b +c = 0$ (Eq. 2)

(0,-16)

$c = -16$ (Eq. 3)

Then,

$4\cdot a - 2\cdot b = 16$ (Eq. 4)

$16\cdot a + 4\cdot b = 16$ (Eq. 5)

(Eq. 3 in Eqs. 1 - 2)

$a - 0.5\cdot b = 4$ By Eq. 4 (Eq. 4b)

$a = 4 + 0.5\cdot b$

Then,

$16\cdot (4+0.5\cdot b) + 4\cdot b = 16$ (Eq. 4b in Eq. 5)

$64 + 12\cdot b = 16$

$12\cdot b = -48$

$b = -4$

The remaining coeffcient is:

$a = 4 + 0.5\cdot b$

$a = 4 + 0.5\cdot (-4)$

$a = 2$

The function that represents a parabola with zeroes at x = -2 and x = 4 and y-intercept (0,16) is $f(x) = 2\cdot x^{2}-4\cdot x -16$ . Thus, the right answer is D.

6 0

3 years ago

4. Find the slope of the line that posses

Illusion [34]

Answer:

The slope is -8

Step-by-step explanation:

To find the slope, we can do a very easy equation. We can do the formula

y1 - y2 / x1 - x2

We fit in all of the respective numbers to get the equation as this.

-51-(-75) / 7-10

Then, we get

24/ -3

Simple division gives us -8.

3 0

3 years ago

Read 2 more answers

WILL GIVE BRAINLIEST

VARVARA [1.3K]

Answer: 0.1x - 16 (c)

Explanation: The perimeter is the sum of all three sides of the triangle. Since the three side are 0.5x + 9, 3x, and (-3.4x) - 25, the sum is as follows:

0.5x + 9 + 3x + (-3.4x) - 25 = 0.1x - 16

5 0

4 years ago

PLEASE HELP!!! here are two different strategies to find the new price of a hat after a discount of 40%. The hat was originally

Yakvenalex [24]

Answer:

Step-by-step explanation:

Method 1: Calculate 40% discount on original price, then subtract discount from original price.

Amount of discount = 40% of $30

= 0.40 × $30

= $12

New price = $30 - $12 = $18

Method 2:

New price = (100% - discount percentage) of original price

= 60% of original price

= 0.60 × $30

= $18

6 0

3 years ago

Please help!!!!this is my last part of my discussion and I am stuck on it I would really appreciate the help!!

frosja888 [35]

x + 5 = 0 - > x = -5

5 0

3 years ago