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3 years ago

PLEASE CAN ANYONE HELP ME? I'M SO STUCK. I WILL GIVE BRAINLIEST! 5 STARS AND A THANKS!

Mathematics

2 answers:

Arte-miy333 [17]3 years ago

8 0

Answer:

Option A.

Step-by-step explanation:

The given piecewise function is

$f(x)=\begin{cases}-\left(x+1\right)^{2}+2 & \text{ if } x$

From the given function it is clear that function is divided at x=-1 and x=2. It means we check the discontinuity at x=-1 and x=2.

For x=-1,

$f(-1)=-(-1)+2=3$

LHL: $lim_{x\rightarrow -1^-}f(-1)=-\left(-1+1\right)^{2}+2=2$

Since LHL ≠ f(-1), therefore the given function is discontinuous at x=-1.

For x=2,

$f(2)=\sqrt{2-1\ }=1$

LHL: $lim_{x\rightarrow 2^-}f(2)=-(2)+2=0$

Since LHL ≠ f(2), therefore the given function is discontinuous at x=2.

Therefore, the correct option is A.

Andreyy893 years ago

6 0

Answer:

x = -1 and 2

Step-by-step explanation:

i dont really know how to explain it but i have endmentum which is considered plato and the answer IS X = -1 and 2 i promise i just took it and it was correct!!

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Answer:

1. d

2. d

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explanation

1. reflection, rotation, and dilations are all transformations

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3 years ago

A box is being created out of a 15 inch by 10 inch sheet of metal. Equal-sized squares are cutout of the corners, then the sides

ivolga24 [154]

Answer:

Therefore the dimensions of the square should be 0.1528 inch by 0.1528 inch so, the box has largest volume.

Step-by-step explanation:

Given that,

A box is being created out of a 15 inches by 10 inches sheet of metal.

The length of the one side of the squares which are cut out of the each corners of the metal sheet be x.

The length of the metal box be = (15-2x) inches.

The width of the metal box be =(10-2x) inches

The height of the metal box be =x inches

Then, the volume of the metal box= length×width×height

=(15-2x)(10-2x)x cubic inches

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Differentiating with respect to x

V'=12x²-100x+15

Again differentiating with respect to x

V''=24x-100

For maximum or minimum value, V'=0

12x²-100x+15=0

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$x=\frac{-(-100)\pm\sqrt{(-100)^2-4.12.15}}{2.12}$

$\Rightarrow x=\frac{100\pm\sqrt{9280}}{2.12}$

$\Rightarrow x=0.1528,8.18$

For x= 8.18, The value of (15-2x) and (10-2x) will negative.

∴x=0.1528 .

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∴At x=0.1528 inch, the volume of the metal box will be maximum.

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4 years ago

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ivanzaharov [21]

Answer:

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Step-by-step explanation:

In Triangle AXY,

$Tan 35^0=\frac{|XY|}{60} \\|XY|=60*Tan 35^0=42.01\:feet\\$Therefore, Height of the pole=42.01 \:feet$

We want to determine the angle of elevation from the point Vera is standing to the top of the flagpole, which is the angle at V in the diagram.

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Therefore, the angle of elevation from the point Vera is standing to the top of the flagpole is 49.4 degree to the nearest tenth of a degree.

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Answer:

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Answer:

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Step-by-step explanation:

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