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2 years ago

Write the equation given the following polynomial graph.

Mathematics

1 answer:

Nina [5.8K]2 years ago

7 0

Answer: Option (2)

Step-by-step explanation:

There is a double root at x=-1, so there is a factor of $(x+1)^2$ .

Eliminate options (1) and (3).

Also, as x approaches both positive and negative infinity, the graph approaches negative infinity, so the leading coefficient is negative.

Eliminate (4).

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Is -120/6 infinite or finite?<br> is 2/10 infinite or finite?

Leona [35]

they are both finite because 2/10=0.2, and 0.2 doesn't go on forever. -120/6=-20, which also has an end, and doesn't go on forever. I hope this helps :)

7 0

4 years ago

Before radar and sonar, sailors would climb to the top of their ships to watch for land or changes in weather. If the lookout at

Rudiy27

D = 5/6 sqrt(h)
7 = 5/6 sqrt(h)
42/5 = sqrt(h)
h = (42/5)^2 = 1,764/25 = 70.56

The height of the mast is 70.56 miles

8 0

3 years ago

Read 2 more answers

Use the following functions for 10–12:

Step2247 [10]

h(x) = f(x) + g(x) = $h(x) = 18.5x-16$
h(x) = g(x) – f(x) = $h(x) = 23.5x-40$
h(x) = 4g(x) = $h(x) = (84x-112)$

<u>Step-by-step explanation:</u>

Here we have , f(x) = -2.5x + 12; g(x) = 21x - 28 or $f(x) = -2.5x + 12, g(x) = 21x - 28$ .

10. Find h(x) = f(x) + g(x).

⇒ $h(x) = f(x) +g(x)$

⇒ $h(x) = ( -2.5x + 12)+( 21x - 28)$

⇒ $h(x) = ( 21x-2.5x )+( 12 - 28)$

⇒ $h(x) = 18.5x-16$

11. Find h(x) = g(x) – f(x).

⇒ $h(x) = g(x)-f(x)$

⇒ $h(x) = ( 21x - 28)-( -2.5x + 12 )$

⇒ $h(x) = ( 21x+2.5x )+( -12 - 28)$

⇒ $h(x) = 23.5x-40$

12. Find h(x) = 4g(x).

⇒ $h(x) = 4g(x)$

⇒ $h(x) = 4( 21x - 28)$

⇒ $h(x) = (84x-112)$

6 0

3 years ago

X2 + 3x - 108 = 0<br> What is the answer?

worty [1.4K]

Answer:

The answer is x=9 and/or x = -12

Step-by-step explanation:

This is a quadratic formula meaning that you must take the a value (1) b value (3) and the c value (108) and plug it into the quadratic formula.

$\frac{-3±\sqrt{9+4*1*-108} }{2}$

which simplifies to -3 add or subtract the sqrt of 441 divided by two.

5 0

4 years ago

Please help find the value of x and show me steps so I can try to learn it!!

fiasKO [112]

Answer:

$x = 30$

Step-by-step explanation:

If we take a look at the given picture, we can see that both sides are almost completely identical, so they must almost have the same value.

Let us do the plug in. Keep in mind that the angle is obtuse, meaning over 90 degrees, and angle identical or lower than 90 is incorrect.

$x=18$

$(x + 90)°$

$(18 + 90) = 108$

True.

$4x$

$4(18) = 72$

False. Meaning the 18 would not work.

x = 22.5

$(22.5 + 90) = 112.5$

True.

$4(22.5) = 90$

False. Meaning that 22.5 does not work.

x = 30

$(30+90) = 120$

True.

$4(30) = 120$

True. Meaning that 30 is the answer and can work.

x = 54

$(54+90) = 144$

True.

$4(54) = 216$

False. Although the angle is larger than 90, 180 is a straight line, and we can see that the angles given are not straight lines or greater.

5 0

3 years ago