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labwork [276]
4 years ago
13

Which of the following is the function for the graph below and shows the end behavior of the function as x ⟶ +∞?

Mathematics
2 answers:
sladkih [1.3K]4 years ago
6 0

The simplest solution:

y - intercept of the function on the graph is (0; 6).

Only function f(x) = (4x^2 - 7x - 2)(2x - 3) has that y-intercept

f(0) = (4 · 0² - 7 · 0 - 2)(2 · 0 - 3) = (-2)(-3) = 6

Other functions have y - intercept equal (0; -6).

f(0) = (0 ... - 2)(0 + 3) = (-2)(3) = -6 or f(0) = (0 ... + 2)(0 - 3) = (2)(-3) = -6

Grace [21]4 years ago
5 0

The end behaviour is f(x) ---> +∞ because the end of the graph rises to the right so its either B or C

The roots of B are -0.25, 1.5 and 2

( because 4x^2 - 7x - 2 = (4x + 1)(x - 2) and 2x - 3 = 0) ) and these values agree with the graph

Answer is B

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20m^2

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3 0
3 years ago
Area of a triangle <br>A/12 = 12/12bh<br>solve for b ​
Veronika [31]

Step-by-step explanation:

I hope this works for ya.

5 0
3 years ago
How do you Factor 3bc-2b-10+15c=
VLD [36.1K]
It is in simplified form. You cannot add these together because they are different terms. EX: bc, b, and c. They don't correspond, so we can't add/subtract/multiply/divide.
5 0
3 years ago
I’m really confused please help me
andreev551 [17]
<h3>Answer:  54</h3>

========================================================

Explanation:

Focus on the bottom most triangle. The upper angle of this triangle is 360/5 = 72 degrees. This is because the regular pentagon is split into five congruent (aka identical) triangles.

Each of the triangles are isosceles. Let x be the measure of the base angles.

Use the rule that adding the three angles of a triangle gets us 180

angle1+angle2+angle3 = 180

x+x+72 = 180

2x+72 = 180

2x = 180-72

2x = 108

x = 108/2

x = 54 is the answer

----------------------

Another way to get the answer:

i = interior angle of a regular polygon with n sides

i = 180(n-2)/n

i = 180(5-2)/5

i = 180(3)/5

i = 540/5

i = 108

Each interior angle of a regular pentagon is 108 degrees.

Angle x marked in blue is half that, so it is 108/2 = 54 degrees

----------------------

A third method:

E = exterior angle of a regular polygon with n sides

E = 360/n

E = 360/5

E = 72 degrees is the measure of each exterior angle

i = 180 - E

i = 180-72

i = 108 is the measure of each interior angle.

To wrap things up, we follow the same exact steps at the end of the 2nd section to get 108/2 = 54 as our answer.

3 0
2 years ago
Solve using substitution
mestny [16]

Answer:

x=7, y=9. (7, 9).

Step-by-step explanation:

-3x+y=-12

5x-2y=17

---------------

y=-12-(-3x)

y=-12+3x

y=3x-12

5x-2(3x-12)=17

5x-6x+24=17

-x+24=17

-x=17-24

-x=-7

x=7

y=3(7)-12

y=21-12

y=9

8 0
3 years ago
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