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3 years ago

Fast! Which of the following are characteristics of the graph of the square root

Mathematics

1 answer:

svetlana [45]3 years ago

3 0

Answer:

Only choices B and C are correct.

Step-by-step explanation:

The square root parent function is $f(x)= \sqrt{x}.$

The function $f(x)$ is not a linear function, therefore it's graph cannot be a straight line. This rules out choice A.

The function $f(x)$ is defined at $x=0$ because $f(0)= \sqrt{0} =0$ . This means that choice B is correct.

The function $f(x)$ is only real for values $x\geq 0$ , because negative values of $x$ give complex values for $f(x)$ . This means that choice C is correct.

The function $f(x)$ can take only positive values which means it is confined to only the I quadrant, and is not defined in quadrants II, III, and IV. This rules out Choice D.

Therefore only choices B and C are correct.

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Solve for x: 8 (3x + 10) = 28x - 14 - 4x

Ierofanga [76]

Answer:

$8(3x + 10) = 28x - 14 - 4x \\ 8 \times 3x + 8 \times 10 = 28x - 14 - 4x \\ 24x + 80 = 24x - 14 \\ 0x = 94 \\ x = > has \: no \: solution$

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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

=(150x-50x²+4x³) cubic inches

∴ V= 4x³-50x²+15x

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

Apply quadratic formula $x=\frac{-b\pm\sqrt{b^2-4ac}}{2a}$ , here a=12, b= -100 and c=15

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

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

$\Rightarrow x=0.1528,8.18$

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

∴x=0.1528 .

Now, $V''|_{x=0.1528}=24(0.1528)-100$

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

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

4 0

3 years ago

What is the surface area of the prism?

dimaraw [331]

To get the answer type 2•4•3+2•4•2+2•3•2

in to a calculator And you’ll get “52m”

5 0

3 years ago

Read 2 more answers

X +y=5, 3x-2y+5=0, this is the question

Neko [114]

Step-by-step explanation:

x+y=5

3x-2y+5=0

3x-2y= -5

x+y=5...... equation 1

3x-2y= -5....... equation 2

there fore make x the subject of the formula in equation 1

x=5-y.. equation 3

substitute equation three in equation 2

3(5-y)-2y=-5

15y-3y-2y=-5

10y=-5

divide both sides by 10

y=-5/10

y=-½

substitute y into equation 1

x+(-½)=5

x=5+½

x=5½

x=5½,y= -½

4 0

3 years ago

A company policy requires that for every 30 employees, there must be 3 supervisors. If there are 267 supervisors at the company,

Alexus [3.1K]

267 supervisors will have 2670 employees.

Step-by-step explanation:

Let x be the number of employees.

Given,

3 supervisors = 30 employees

1 supervisor = $\frac{30}{3}$

1 supervisor = 10 employees

As one supervisor has 10 employees, 267 supervisors will have;

x = 267*10

x= 2670 employees

267 supervisors will have 2670 employees.

Keywords: Multiplication.

Learn more about multiplication at:

#LearnwithBrainly

4 0

3 years ago