Which of the following equations represent linear functions?

y=x2−3x

4x+y=5

y=|2x+1|

y=−5

Answer:

[tex]17.5\ \text{feet}[/tex]

Step-by-step explanation:

A bookcase has 5 bookshelves. Each bookshelf is 42 inches long.

Total bookshelf length in the book case = [tex]5\times 42=210\ \text{inches}[/tex]

[tex]1\ \text{feet}=12\ \text{inches}\\\Rightarrow 1\ \text{inch}=\dfrac{1}{12}\ \text{feet}[/tex]

[tex]210\ \text{feet}=210\times \dfrac{1}{12}=17.5\ \text{feet}[/tex]

The bookcase has a total shelf space of [tex]17.5\ \text{feet}[/tex].

*One bookshelf has a space of [tex]\dfrac{42}{12}=3.5\ \text{feet}[/tex].

Answer:

3/5cm

Step-by-step explanation:

Let's solve your equation step-by-step.

x(25)=15

Step 1: Simplify both sides of the equation.

25x=15

Step 2: Divide both sides by 25.

25x /25 = 15/25

x = 3/5

Actual length of ant's leg is 0.6cm

Let the actual length of ant's leg = a

Scale = 25 : 1

Length in photo = 15 cm

Express as a an equation :

25 × actual length = 1 × length in photo

25a = 15

a = 15 / 25

a = 0.6

Hence, actual length of ant's leg is 0.6cm

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The correct number form for “one and twenty-five thousandths.” is 1.025.

A place value can be defined as a numerical value (number) which denotes a digit based on its position in a given number and it includes the following:

Twenty-five (25) thousandths as a decimal can be written as follows:

Decimal = 25/1000

Decimal = 0.025.

Combining the word sentence "one and twenty-five thousandths," we have:

Number = 1.025.

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Answer: 98

Step-by-step explanation:

Formula to find sample size if population standard deviation is known:

[tex]n=(\dfrac{z^c\times\sigma}{E})^2[/tex] , where [tex]\sigma=[/tex]population standard deviation, [tex]z^c[/tex] =Critical z-value for confidence level, E= Margin of error.

Given: [tex]\sigma=30,\ \ \ E=10[/tex]

Critical z-value for 90% confidence = 1.645

[tex]n=(\dfrac{1.645\times60}{10})^2\\\\=(1.645\times6)^2\\\\=9.87^2\\\\=97.4169\approx98[/tex]

Required minimum sample size = 98

Answer:

B) Statistic

Step-by-step explanation:

The mean age of U.S. first ladies when they married would be a Statistic. This is because the mean age would be a specifically targeted value of the population that is being analyzed. In this scenario, the population would be all of the First Ladies, while the Sample would be the data gathered from the population under certain parameters. Statistics can be a variety of different values that revolve around the samples gathered such as average age, average height, max number of blue-eyed First Ladies, etc.

Answer:

it is c if you add 2x8 wich makes 16

Answer:

$15 an hour

Step-by-step explanation:

To find this, we divide 120 by 8.

120 ÷ 8 = 15

So Jane gets $15 an hour

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Answer:

Hey there :)

h ( x ) = f [ g ( x ) ]

To find h ' ( x )  

We do → f ' [ g ( x ) ] × g ' ( x )  

This is called the chain rule

Given;

g ( 1 ) = 2  →  f ' ( 2 ) = 5

g ' ( 1 ) = 6

Apply the formula

h ' ( 1 ) = f ' [ g ( 1 ) ] × g ' ( 1 )

          = f ' ( 2 ) × 6

          = 5 × 6

h ' ( 1 ) = 30

If h(x) = g[f(x)], the value of h'(1) from the given table is calculated as 18.

To find the value of h'(1), we need to apply the chain rule. The chain rule states that if we have a composite function h(x) = g[f(x)], then its derivative h'(x) is given by [tex]\(h'(x) = g'(f(x)) \cdot f'(x)\)[/tex].

Let's use the table of values to find h'(1):

1. f(1) = 3

2. g(f(1)) = g(3) = 2

3. f'(1) = 2

4. g'(f(1)) = g'(3) = 9

Now, we can find h'(1) using the chain rule:

[tex]\[h'(1) = g'(f(1)) \cdot f'(1) = 9 \cdot 2 = 18.\][/tex]

Therefore, the value of h'(1) is 18.

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Answer:

28416

Step-by-step explanation:

No digits can be repeated

"All my digits are factors of 24" This means that the possible digits are: 1, 2, 3, 4, 6, 8

"The digits in my thousands place equals the perimeter of a 2x2 array" That would be 8

"The digits in my ten thousand places is twice the value of the digits in the hundreds place, but half the value of the digits in the thousands place" That would be 4, which also means that the ten thousands place is 2

"The digits in my tens place equal the number of lines of symmetry in an isoceles triangle" There is only 1 lines of symmetry

This means that we have 2841(?)

Because this number is even and no digits can be repeated, the only possible digits from those available is 6

Therefore the number is 28416

Answer:

The uniform rate of depreciation is $56,333 per year, or 11% per year.

Step-by-step explanation:

Rate of Depreciation

If some object has a certain value P and after some time t its value decreases to Q, the rate of depreciation is a measure of how much its value changed per unit time.

It can be calculated as:

[tex]\displaystyle R=\frac{P-Q}{t}[/tex]

It can also be expressed as a percentage, dividing the previous value by P.

The school bus reduces its value from $512,000 to $343,000 in 3 years, thus:

[tex]\displaystyle R=\frac{512,000-343,000}{3}[/tex]

[tex]\displaystyle R=\frac{169,000}{3}[/tex]

R = 56,333 $/year

Expressed as a percentage:

R = 56,333 / 512,000 = 0.11

R = 11%/year

The uniform rate of depreciation is $56,333 per year, or 11% per year.

Answer:

The segment that is the diameter is EB

It is 8 cm long

Step-by-step explanation:

Answer: 8

please see below for work!

Answer:

y-intercept occurs when x = 0

19x + 8y=7​

19*0 + 8y = 7

y -intercept = (0, 7/8)

Step-by-step explanation:

Answer: b=6

Step-by-step explanation:

I hope this helps on edge

To make the system have an infinite number of solutions, the value of b can be any real number.

Solutions are the values of an equation where the values are substituted in the variables of the equation and make the equality in the equation true.

We also find the solution in a system of equations using the substitution or elimination method.

Example:

2x + 4 = 8

The solution is x = 2.

We have,

For the system to have an infinite number of solutions, the two equations must be dependent, which means that one of the equations can be obtained by a linear combination of the other two equations.

So,

Let's rearrange the given equations into the slope-intercept form:

y = 6x - b _____(1)

3x + 12y = -3 ______(2)

-3x + y = -3 ______(3)

From equation (3),

y = 3x - 3 _______(4)

Now,

We can see that equation (1) is a multiple of equation (4) with a slope of 6/3 = 2.

Specifically, equation (1) can be obtained by multiplying equation (4) by 2 and then subtracting b from both sides.

So,

2(3x - 3) - b = 6x - b

Simplifying this expression.

6x - b = 6x - b

Since this equation is true for any value of x and b, we have an infinite number of solutions.

Therefore,

To make the system have an infinite number of solutions, the value of b can be any real number.

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Answer:

A, 5:6

Step-by-step explanation: :)

Answer:

YAH IM CONFUSEDDD

Step-by-step explanation:

Answer:

= h^-6

Step-by-step explanation:

When dividing powers you subtract them (indices rules)

--> -2 - 4 = -6

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Answer: 6

Step-by-step explanation:

20/5 = 30/x

5 = 30/x

x = 6

The value 'x' in the given equation is 7.5.

"Ratios compare two numbers, usually by dividing them. If you are comparing one data point (A) to another data point (B), your formula would be A/B. This means you are dividing information A by information B."

Given, 20:5=30:X

⇒ [tex]\frac{20}{5} = \frac{30}{x}[/tex]

⇒ x = (30 × 5) / 20

⇒ x = 7.5

Therefore, the value of x is 7.5.

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Answer:

A 3 1/2

Step-by-step explanation:

There are a number of ways that you can solve this

Method 1)

Since these proportions are set equal to each other, we know that x is also equivalent to 1/2. So, we need to find the whole-number that was multiplied by the first fraction (1/2/4) that gave us the second fraction (x/28).

So we need to divide the denominators

28/4 = 7

Now that we have that number, we will mutiply 1/2 by it because we know that whatever x is the 1/2 times 7 since 28 is 4*7:

1/2 * 7 = 3.5 or 3 1/2, so 3 1/2 is our answer...

Another way that we can solve this is by using the cross product (butterfly method)

Method 2)

Multiply 28 by 1/2 = 14.

Now we will divide 14 by 4. 14/4 = 3.5

3.5 = 3 1/2, so that is our answer.

Answer:

y=2

Step-by-step explanation:

that's the answer hope u understand it

Answer:

[tex]y = 2[/tex]

Step-by-step explanation:

Sure.

[tex]y - \frac{2}{5} = 1 \frac{3}{5} \\[/tex]

Convert to improper fraction

[tex]y - \frac{2}{5} = \frac{8}{5}[/tex]

Combine like terms

[tex]y - \frac{2}{5} = \frac{8}{5} \\[/tex]

[tex]+\frac{2}{5}[/tex] from both sides

[tex]y = \frac{8}{5} + \frac{2}{5} \\y = 2[/tex]

Love from Nepal :)

Answer:

I'm sorry I just dont know it....

Answer:

217

Step-by-step explanation:

I hope this helps!

Answer:

The customary system states that one pound is equivalent to sixteen ounces(oz).

Step-by-step explanation:

Since the package is one pound, it contains sixteen ounces(oz).

Answer:

B) No more than three games

Step-by-step explanation:

est $290+32=322

322+32+32=$386

386+32=418 (which is over price)

Answer:

B. no meor than three games

Step-by-step explanation:

400.00 - 289.99 = 110.01

110.01 - 32.29 = 72.72 (1 game)

72.27 - 32.29 = 45.43 (2 games)

45.43 - 32.29 = 13.14 (3 games)

13.14 left over

Answer:

My guess would be D.

Step-by-step explanation:

We can eliminate A and B right away considering the Slope of the first equation is already -1/3 and we need the slope to be opposite to be perpendicular. So right then It is either C or D. and with C It doesn't seem like the line intersecting the line above would be parallel so my guess is D.

answer: g=32 u should simplify

Answer:

1.25 hours

Step-by-step explanation:

So if you walk at 5 mph without wind, it takes you 1 hour to cover a 5 mile distance since you travel at a speed of 5 every hour. (5 mph). with the wind, your speed is 4 miles per hour because the wind slows you down to 4/5ths of your normal speed. 4/5ths of 5 is 4. It takes 1.25 hours to walk with the wind because 5(miles)/4(mph) is 1.25 hours. Hope this helps bud!

Answer:

its y=-5x

Step-by-step explanation:

Why?

linear functions have only the slope, they dont include the y-intercept