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2 years ago

Which of the following functions best describes this graph. 50 POINTS!!

Mathematics

2 answers:

lbvjy [14]2 years ago

8 0

Answer:

D) y = x² - 8x + 15

Step-by-step explanation:

x-intercepts are at x = 3 and x = 5

⇒ y = (x - 3)(x - 5)

⇒ y = x² - 8x + 15

lord [1]2 years ago

6 0

Answer:

D is your correct answer

Step-by-step explanation:

This is a quadratic equation which means that it has two roots which is your X-Intercepts. As seen on the graph, your X-intercepts are 3 and 5 which are your roots. Simple bring them over to the other side so you have (X-3) and (X-5)

You now multiply them into each other:

(X-5)×(X-3)=0

: X^2-8x+15

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4 years ago

A company logo is made up of a square and three identical triangles.

IgorLugansk [536]

Answer:

$the \: area \: of \: the \: logo \: is \: {91cm}^{2}$

Step-by-step explanation:

To determine the area of the logo you have to calculate the area of the triangle and the square that comform it and then add the four areas.

Area of the square.

To calculate the area of the square you have to calculate the square of one of its sides, following the formula:

$a = {a}^{2}$

Where "a" is the length of one of its side.

The side length of the square is a=7cm, so its area will be:

$asquare = {7}^{2} \\ asquare = {49cm}^{2}$

Area of the triangles.

The three triangles are equal, they have a base equal to the side of the square, i.e. with a length of 7cm, and their height is h=4cm.

To calculate the area of one triangle, you have to multiply its base by its height and divide by 2, following the formula:

$a = \frac{b.h}{2} \\ a = \frac{7.4}{2} \\ a = \frac{28}{2} \\ a = {14cm}^{2}$

The area calculated the correspond to one triangle, since all triangles are congruent, you have to multiply the said area by 3 to determine the area of three figures:

$atriangles = 3a \\ atriangles = {42cm}^{2}$

Now that the area of all shape are calculated, you have to add them to determine the area of the logo:

$alogo = asquare + atriangle \\ alogo = 49 + 42 \\ alogo = {91cm}^{2}$

4 0

3 years ago