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3 years ago

Which of the following functions best describes this graph??

Mathematics

2 answers:

tino4ka555 [31]3 years ago

7 0

Answer:

The correct answer is b

artcher [175]3 years ago

5 0

Answer:

A) y = x² - 8x + 15

Step-by-step explanation:

We can see that the roots of this equation (the x-intercepts) are at x = 3 and x = 5. Plugging this into factored form gives us

y = (x-r₁)(x-r₂)

y = (x-3)(x-5)

Multiplying, we have

y = (x)(x)-5(x)-3(x)-3(-5)

y = x²-5x-3x--15

y = x²-8x+15

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Step-by-step explanation:

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Step-by-step explanation:

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Triangle X Y Z is shown. Angle X Z Y is a right angle. Angle Z X Y is 60 degrees and angle X Y Z is 30 degrees. The length of hy

vladimir1956 [14]

Answer:

StartFraction StartRoot 3 EndRoot Over 3 EndFraction

Step-by-step explanation:

see the attached figure to better understand the problem

step 1

we know that

In the right triangle XYZ

$cos(Y)=\frac{ZY}{XY}$ ---> adjacent side divided by the hypotenuse

substitute the values

$cos(30\°)=\frac{ZY}{4}$

Remember that

$cos(30\°)=\frac{\sqrt{3}}{2}$

substitute

$\frac{\sqrt{3}}{2}=\frac{ZY}{4}$

$ZY=(4)\frac{\sqrt{3}}{2}$

$ZY=2\sqrt{3}\ units$

step 2

$sin(Y)=\frac{XZ}{XY}$ --> opposite side divided by the hypotenuse

substitute the values

$sin(30\°)=\frac{XZ}{4}$

Remember that

$sin(30\°)=\frac{1}{2}$

$\frac{1}{2}=\frac{XZ}{4}$

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step 3

$tan(Y)=\frac{XZ}{ZY}$ --> opposite side divided by adjacent side

substitute the values

$tan(Y)=\frac{2}{2\sqrt{3}}$

$tan(Y)=\frac{1}{\sqrt{3}}$

Simplify

$tan(Y)=\frac{\sqrt{3}}{3}$

StartFraction StartRoot 3 EndRoot Over 3 EndFraction

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3 years ago

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