Given f(x) = 6(1-x), what is the value of f(-5)?

Answer:

Blue:  y = x²

Red:  y = -x² + 18

Step-by-step explanation:

The blue parabola opens upwards, therefore the term in x² is positive.

The red parabola opens downwards, therefore the term in x² is negative.

The x-value of the vertices of both parabolas is x = 0.

Therefore, the equations of both parabolas will not have a term in x.

The y-intercept of the blue parabola is also the y-value its vertex: y = 0.

The y-intercept of the red parabola is also the y-value its vertex: y = 18.

Therefore, the equation for each parabola is:

To check, substitute x = ±3 into both equations:

Blue

[tex]x=3 \implies y=(3)^2=9[/tex]

[tex]x=-3 \implies y=(-3)^2=9[/tex]

Red

[tex]x=3 \implies y=-(3)^2+18=9[/tex]

[tex]x=-3 \implies y=-(-3)^2+18=9[/tex]

Answer:

y = x2

y = –x2 +18

Step-by-step explanation:

I got it right on the test.

The equation for new function is,

⇒ f (x) = ∛( 1/4x - 6) - 5

A relation between a set of inputs having one output each is called a function.

Given that;

The parent function is,

⇒ g (x) = ∛x

Now, After  reflected and stretched by 4, we get;

⇒ g (x) = f (1/4x) = ∛ 1/4x

And, After translated 6 units to the right, we get;

⇒ g (x) = f (x - 6) = ∛ 1/4x - 6

And, After 5 unit down, we get;

⇒ g (x) = h (x) - 5 = ∛( 1/4x - 6) - 5

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Answer:

The third one in.

Step-by-step explanation:

its going to end up being 54 ≤ x

and since 54 is included, you want a filled in circle to show that.

Answer:

C. less than or equal too if it's a closed circle

hope this helps

have a good day :)

Step-by-step explanation:

The scientific notation to express the mass of 60 cows is 2.46 × 10⁴ kg. It is determined after multiplying the mass of one cow by the number of cows.

Scientific notation is a way of expressing very small or very large numbers in a simpler form.

In scientific notation, the number is written as

a.b × 10ⁿ

Where

If the mass of one cow is 410 kg, find the mass of 60 cows in scientific notation!

The mass of 60 cows would be

= number of cows × mass of one cow

= 60 × 410 kg

= 24,600 kg

In scientific notation, it is

24,600 kg = 2.46 × 10,000

24,600 kg = 2.46 × 10⁴ kg

Hence, the mass of 60 cows in scientific notation is 2.46 × 10⁴ kg.

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The mean of negatively skewed facts can be less than the median. If the information graphs symmetrically, the distribution has 0 skewness, no matter how lengthy or fat the tails are.

What is a curve ?

Curve can be defined as the path on which it is usually generated by the equation.

In statistics, a negatively skewed (also called left-skewed) distribution is a sort of distribution wherein more values are targeting the right side (tail) of the distribution graph while the left tail of the distribution graph is longer.

negatively skewed distribution refers to the distribution kind where greater values plot at the graph's proper facet, the tail of the distribution is longer on the left aspect, and the suggest is decrease than the median and mode. It is probably 0 or poor due to the data being distributed negatively.

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Answer:

simply do 70 divided by 12, then that divided by 3, in total it should take 1, 2, or 3 hours to read 3 books a month

Step-by-step explanation:

Answer:

Yes, both are radii.

Step-by-step explanation:

Assume S lies in the center of the circle. If so, when drawing a line from S to Y, it can be counted as half a diameter, or a radii. Same goes for line ST.

Step-by-step explanation:

It is in the form y=mx+c

so m1 = 1/5

Now the slope of the line perpendicular to the line Having slope m1 = 1/5 (m2)=?

when it is perpendicular, slope is given by

m1 x m2 = -1

1/5 x m2 = -1

m2 = -5

Answer: yes, it uses the Associative Property

Step-by-step explanation:

The equation of line passes through the points (0, 0) and (3a, 5g) will be;

⇒ y = (5g/3a) x

The equation of line in point-slope form passing through the points

(x₁ , y₁) and (x₂, y₂) with slope m is defined as;

⇒ y - y₁ = m (x - x₁)

Where, m = (y₂ - y₁) / (x₂ - x₁)

Given that;

Two points on the line are (0, 0) and (3a, 5g).

Now,

Since, The equation of line passes through the points (0, 0) and (3a, 5g).

So, We need to find the slope of the line.

Hence, Slope of the line is,

m = (y₂ - y₁) / (x₂ - x₁)

m = (5g - 0) / (3a - 0)

m = 5g / 3a

Thus, The equation of line with slope 5g/3a is,

⇒ y - 0 = 5g/3a (x - 0)

⇒ y = (5g/3a) x

Therefore, The equation of line passes through the points (0, 0) and

(3a, 5g) will be;

⇒ y = (5g/3a) x

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Answer: A

Step-by-step explanation:

This is because the scale factor is 1.25 so this means that any number you do ex 12 then multiply that by 1.25 it equals the next number in the table, in this case 15. So A is the table that represents a linear function.

By standard deviation, 68% housing price are between a low price of $135000 and a high price of $149000.

What is standard deviation in math?

The variability in your dataset is measured by its standard deviation. It reveals the average deviation between each result and the mean.

                           A low standard deviation denotes that values are grouped close to the mean, whereas a large standard deviation shows that values are often far from the mean.

Given,

         mean (μ) = 142000

  standard deviation (σ ) = 7000

 By using empirial rule,

                    P( μ - σ ≤ X ≤ μ + σ ) ≈ 68%

   Then,

             P(142000 - 7000 ≤ x ≤ 142000 + 7000 ) ≅ 68%

    P( 135000 ≤ x ≤ 149000 ) ≅ 68%

68% housing price are between a low price of $135000 and a high price of $149000.

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Answer:

Hello! answer: 32

Hppe this helps!

Answer:

A right triangular prism contains rectangular faces.

Step-by-step explanation:

Answer:

(C) A right triangular prism contains rectangular faces.

Step-by-step explanation:

hope this helps <3

Answer:

p ≤ 10

Step-by-step explanation:

3/5 * p ≤ 6

Multiply each side by 5/3

5/3 *3/5 * p ≤ 6* 5/3

p ≤ 10

Answer:

p< 10

Step-by-step explanation:

See the image below:)

Answer:

a = 33 degrees

Step-by-step explanation:

Note that 57 degrees and Angle a are complementary:  they add up to 90 degrees.

Thus, a = 90 degrees less 57 degrees = 33 degrees

The x-intercept for the graph of y is found to be at x = 2.

The quadratic equation given is

y = x² - 4x + 4

Put y = 0

0 = x² - 4x + 4

It becomes perfect square for (x - 2).

It can be written as;

(x - 2)² = 0

Take square root on the both sides

x - 2 = 0

x = 2

Thus, the x-intercept for the graph of y is found to be at x = 2.

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The correct question is-

What is the x-intercept of the graph of y = x² - 4x + 4?

In the equation [tex]3x-6y=-13[/tex] , the coefficient of equation are , coefficient  of  [tex]x[/tex] is [tex]3[/tex] and the coefficient of [tex]y[/tex] is [tex]-6[/tex] .

What are Coefficients ?

The Coefficients are defined as a number that is placed with a variable. It is a integer that is multiplied by the variable and written next to it.

In simpler words, we can say that ; a coefficient is a multiplicative factor in the terms of a polynomial, a series, or any expression.

The variables that do not have a number written with them are assumed to have 1 as their coefficient.

For example, in the expression [tex]3x[/tex] , the coefficient of [tex]x[/tex] is [tex]3[/tex] ,  but in the expression [tex]x^{2} +3[/tex], [tex]1[/tex] is the coefficient of [tex]x^{2}[/tex].

The equation to find the coefficient is given as [tex]3x-6y=-13[/tex] ,

we see that , the numerical part with [tex]x[/tex] is [tex]3[/tex] and with [tex]y[/tex] is [tex]-6[/tex] ;

Therefore , the coefficient of [tex]x[/tex] is [tex]3[/tex] and [tex]y[/tex] is [tex]-6[/tex] .

The given question is incomplete , the complete question is

What are the coefficients of the equation 3x -6y = - 13 ?

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The required transformations of the original image are the first translation of 7 units to the right side, then a reflection across the x-axis.

A point is transformed when it is moved from where it was originally to a new location. Translation, rotation, reflection, and dilation are examples of different transformations.

The triangle is given in the represented graph, which vertices are as follows :

(-5, -1)

(-2, -1)

(-5, -3)

The image after a translation of 7 units to the right side will be given a triangle the vertices are as follows :

(-5 + 7, -1) → (2, -1)

(-2 + 7, -1) → (5, -1)

(-5 + 7, -3) →(2, -3)

Then the image after a reflection across the x-axis will be a triangle the vertices are as follows :

(2, -1) → (2, 1)

(5, -1) → (5, 1)

(2, -3) → (2, 3)

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Answer:

7

Step-by-step explanation:

Answer:

FL = 8.4

Step-by-step explanation:

To solve this question you need to use proportions.

6/10 = x/14

Cross multiply:

6*14 = 84

84/10 = 8.4

Answer:

In five years, the enrollment would have been 10,724 students

Step-by-step explanation:

The general depreciation formula is given as;

P = I( 1 - r)^t

where P is the present population

I is the initial

r is the rate of depreciation = 4.5% = 4.5/100 = 0.045

t is 5 years

substituting these values;

P = 13,500 (1- 0.045)^5

P = 10,723.84

Answer:

2 pie over r

Step-by-step explanation:

Step-by-step explanation:

the circumference is given by:

[tex]2\pi(radius)[/tex]

in this case x is the radius hence the circumference would be:

[tex]2\pi(x)[/tex]

hope this helps :)

Answer:

[tex]4x^2 +8x + 16[/tex]

Step-by-step explanation:

2 (3x - 1) + 2 (2x^2 + x + 9)

6x - 2 + 4x^2 +2x + 18

4x^2 + 8x +16

The value of the equation is A = 2B + 2C = 4x² + 8x + 16

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Let the equation be represented as A

Now , the value of B is

B = 3x - 1   be equation (1)

And , the value of C is

C = 2x² + x + 9   be equation (2)

The value of 2B = 2 ( 3x - 1 )

2B = 6x - 2   be equation (3)

The value of 2C = 2 ( 2x² + x + 9 )

2C = 4x² + 2x + 18

Now , the equation will be

A = 2B + 2C

A = 6x - 2 + 4x² + 2x + 18

On simplifying the equation , we get

A = 4x² + 8x + 16

Therefore , the value of A is 4x² + 8x + 16

Hence , the equation is A = 4x² + 8x + 16

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Answer:

=98m^2

Step-by-step explanation:

11×4=44

9×6=54

44+54=98

=98m^2

Answer:

The (1/4) slope is the prive per ticket.  The y intercept is the money in the cash box before any tickets were sold.

Step-by-step explanation:

Let y be the money and x the numbers of tickets sold, as requested.  We are told that the equation for this situation is:

   y = (1/4)x + 8

Let's assume the money is in units of dollars.  The slope of (1/4) would mean that each carnival game ticket cost $(1/4), or 25 cents.  The y-intercept is the value of y when x=0, which means zero tickets have been sold.  That means that the cash box had $8 before any sales were made.  [perhaps to use for making change].

Therefore ,A language being infinitive is consequently required but not sufficient for undecidability, according to the solution to the provided problem of infinite.

The ideas of zero and infinity are related, although evidently, zero is not the same as infinity. Instead, if N/Z set  exists, and N is any positive number, the quotient grows indefinitely as Z approaches 0. Therefore, it is obvious that N / 0 is limit- less.

Here,

Regular languages are all finite languages. Some of the infinite languages are common. Only infinite languages have an undecidability limit.

There must be specific language strings that cause the TM to fail for the language to be undecidable. In fact, such strings must exist indefinitely (otherwise, the poorly behaved ones could be handled by special-case logic).

Thus, undecidability requires an is infinite language but does not prove it.

Therefore ,A language being infinitive is consequently required but not sufficient for undecidability, according to the solution to the provided problem of infinite.

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Answer:

40

Step-by-step explanation:

subtract q3 - q1