Write a linear function f with the values f(-9) = 8 and f(0) = 1.

A function is f(x) = ____

Answer:

Length: 5 ft; width: 4 ft.

Step-by-step explanation:

A = LW     formula for area of rectangle

(2x + 1)(2x) = 20      substitute length, width, and area into formula

4x² + 2x - 20 = 0      use the distributive property to multiply out left side

2x² + x - 10 = 0         divide both sides of equation by 2

(2x + 5)(x - 2) = 0        factor out trinomial

2x + 5 = 0  or  x - 2 = 0        use zero product rule to solve for x

2x = -5  or x = 2       subtract 5 from both sides; add 2 to both sides

x = -5/2  or  x = 2

We discard x = -5/2 since it would give negative length and width, and the length and width cannot be negative.

Length: 2x + 1 = 2(2) + 1 = 5

Width: 2x = 2(2) = 4

Length: 5 ft; width: 4 ft.

Answer:

no solution

Step-by-step explanation:

3х – 5 = 3(х – 1)

Distribute

3x -5 = 3x -3

Subtract 3x from each side

3x -5-3x = 3x -3 -3x

-5 = -3

This is not true so there is no solution

Answer:

3x-5=3x-3

3x-3x-5+3=0

x-2

x=2

substituting x=2

3x-5=3(x-1)

3×2-5=3(2-1)

6-5=6-3

1=3

yeah...its no equal

Answer:

x = 2.4 units

Step-by-step explanation:

'x' is the radius of the circle....and  also one leg of the right triangle...

   so we can use Pythagorean theorem to find x

      x^2 + 7^2  = (5+x)^2

       x^2 + 49 = x^2 + 10x + 25

              24 = 10 x

               x = 2.4  units

Answer:

Question 1

Ordered pair (2, -3) satisfies y ≥ x - 5 but does not satisfy y ≤ 2x-8

Question 2

Ordered pair (0,4) does satisfy both inequalities:
y ≤ -x + 4 and y ≥ 5x - 3

Step-by-step explanation:

Question 1

The ordered pair is (2, -3); therefore x = 2, y = -3

Plug these values into the left and right side of each inequality and see if these values satisfy the inequality

For y ≥ x - 5
LHS = -3, RHS = 2 - 5 = -3

Is -3 ≥ -3? Of course; in fact it is = and it only need to satisfy either = or >

For y ≤ 2x-8
LHS = -3, RHS = 2(2) - 8 = 4 - 8 = -4

Is -3 ≤ -4? NO. -3 is greater than -4
(remember in negative  numbers -4 lies further to the left than -3 on the number line so -4 is less than -3)

Question 2

Given ordered pair is (0,4)

For y ≤ -x + 4

LHS = 4, RHS = -0 + 4 = 4

Is 4 ≤ 4? YES

For y ≥ 5x -3

LHS = 4, RHS = 5(0) -3 = 0 - 3 = -3

Is 4 ≥ -3? Of course. All positive numbers are greater than negative numbers

Answer:

4x55x2

Step-by-step explanation:

4 kids 55trys 50 50 odds

Answer:

-i

Step-by-step explanation:

(-i)^0 = 1

(-i)^1 = -i

(-i)^2 = -1

(-i)^3 = -i

(-i)^4 = 1

(-i)^5 = -i

etc.

From this pattern, you see that when the exponent is a multiple of 4, you get 1. When the exponent is a multiple of 4 plus 1, you get -i, etc.

213 = 4 * 53 + 1

213 is 1 more than a multiple of 4.

(-i)^213 = (-i)^1 = -i

Answer:

The slope would be positive 5/2

Step-by-step explanation:

When finding slope you do rise over run. Or rise/run.

This is rise |

This is run __

So going up or down is a rise.

And going left or right is a run.

Did this help??

Answer:

i cant read spanish. sorry

Step-by-step explanation:

Answer: i dunno what '.......' was suppose to mean but 11 + 15 + 19 + 83 = 128

Step-by-step explanation: b more specific dood -_-

The sum of the arithmetic series is:

893

What are arithmetic progressions?

An arithmetic sequence with a specific number of terms is the sum of all the terms in an arithmetic series.

An arithmetic sequence's first n terms are added together to form (n/2).(a1+an). The arithmetic series formula is what it is known as.

Solution:

Given:

a1 = 11, a2 = 15 and an=83

Step-1:

d= a2 ₋ a1

d= 4

Now, an = a ₊ (n ₋ 1)d

          83 = a ₊ (n ₋ 1)4

          83 = 11 ₊ 4n ₋4

          83 = 7 ₊ 4n

         4n = 83 ₋ 7

          n = 19

Step-2:

Now, Sn = n/2 (a1 ₊ an)

         Sn = 19/2 (11 ₊ 83)

         Sn = 19/2 ₓ 94

         Sn = 893

Hence we get the answer as 893

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Answer:

C)

Step-by-step explanation:

It can't be A or B because the samples from 50 fish definitely wouldn't be equal to ALL the fish ever.

And it (more so) can't be D because you are finding the mean. that means that some catfish could weight 1 pound, and another could weigh 4, they would just cancel out.

That leaves C) with the only plausible answer.

The amount of discount on the jacket is Birr 144.

We can use the following formula :

Discount amount = Original price - Discounted price

We must determine the original pricing of the jacket given that it has a discounted price of Birr 576 and the discount is 20%.

Assume "x" stands in for the original price.

The information provided indicates that the discounted price is 80% (100% - 20%) of the original cost:

Discounted price = 80% of the original price

576 = 0.8x

To find the original price, we can divide both sides of the equation by 0.8:

x = 576 / 0.8

x = 720

Now that we have the original price, we can calculate the amount of discount:

Discount amount = Original price - Discounted price

Discount amount = 720 - 576

Discount amount = Birr 144

Therefore, the amount of discount on the jacket is Birr 144.

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Answer:

Therefore, the product of 23.5 and 2.3 is 54.05.

Step-by-step explanation:

To determine the product of 23.5 and 2.3, we can use the following steps:

Align the numbers vertically with the ones digit of the second factor (2.3) under the tenths digit of the first factor (3 in 23.5).

   23.5

 x 2.3

 -----

Multiply the ones digit of the second factor by the first factor and write the result below, shifted one place to the right.

   23.5

 x 2.3

 -----

    71

Multiply the tenths digit of the second factor by the first factor and write the result below, shifted two places to the right.

   23.5

 x 2.3

 -----

    71

   470

Add the two partial products together.

   23.5

 x 2.3

 -----

    71

   470

 -----

   54.05

Therefore, the product of 23.5 and 2.3 is 54.05.

Answer:

(-4, -6)

Step-by-step explanation:

Answer:

.59

because 0.059 is 10 times greater i dont know lol its just common sense that its .59

Answer:

  (c)  the converse of the original conditional statement

Step-by-step explanation:

If a conditional statement is described by p→q, you want to know what is represented by q→p.

For the conditional p→q, the variations are ...

As you can see from this list, ...

  the converse of the original conditional statement is represented by q→p, matching choice C.

__

Additional comment

If the conditional statement is true, the contrapositive is always true. The inverse and converse may or may not be true.

<95141404393>

The measure of side RS is 28.4 units.

The scale factor is the size by which the shape is enlarged or reduced. It is used to increase the size of shapes like circles, triangles, squares, rectangles, etc.

In order to find the measure of side RS, just find the ratio or fraction of the corresponding sides of the two figures. That is:

OP/ST = NO/RS

19/60 = 9/RS

RS = (9 * 60)/19

RS = 28.4 units

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The relative retention of compound B with respect to compound A is 0.053.

The relative retention is defined as the ratio of the difference in retention times of two compounds (α) to the retention time of the first eluting compound (tr1):

α = (tr2 - tr1) / tr1

where tr2 is the retention time of the second compound.

In this case, compound A eluted at 12.63 min and compound B eluted at 13.30 min. The compound that is not retained by the stationary phase eluted at 1.145 min.

Therefore, tr1 = 1.145 min, tr2 = 13.30 min, and:

α = (13.30 - 12.63) / 12.63

α = 0.053

Therefore the relative retention of compound B with respect to compound A is 0.053.

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ᴇʏᴏᴀᴘᴜᴀ8ᴡ8ᴇɪᴇᴜᴇᴜɪᴇ8ᴡ8ᴡ8ǫ

The probability that x is less than 6 is 5/8.

If x is a discrete uniform random variable ranging from one to eight, then each value from one to eight is equally likely to occur, and the probability of any particular value is 1/8.

To find p(x < 6), we need to add up the probabilities of all the values of x that are less than 6:

p(x < 6) = p(x = 1) + p(x = 2) + p(x = 3) + p(x = 4) + p(x = 5)

Since x is a discrete uniform random variable, the probability of each of these values is 1/8, so we can substitute that into the equation:

p(x < 6) = (1/8) + (1/8) + (1/8) + (1/8) + (1/8)

Simplifying, we get:

p(x < 6) = 5/8

Therefore, the probability that x is less than 6 is 5/8.

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stores revenue = $12,400

35 % of 12,400 = revenue for good advertising

= 35 / 100 × 12,400

= $4,340

so from $12,400 $4,340 was earned due to good advertising

The factored trinomial expression is (5p + 2)(2p - 1)

From the question, we have the following parameters that can be used in our computation:

10p^2-p-2

To factor the trinomial 10p^2 - p - 2, we can use the method of finding two numbers that multiply to -20p^2 and add to -p.

We can use these numbers to write the trinomial as a product of two binomials:

So, we have

10p^2 - p - 2 = 10p^2 - 5p + 4p - 2

Factorize

10p^2 - p - 2 = 5p(2p - 1) + 2(2p - 1)

This gives

10p^2 - p - 2 = (5p + 2)(2p - 1)

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Answer:

75 miles- 3 gallons

Step-by-step explanation:

What is the gallons for 50 miles? It doesn't say...

In regression analysis, if the dependent variable is measured in dollars, the independent variable can be units.

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Answer:

17

Step-by-step explanation:

PLS GIVE BRAINLIEST

Repost your question. Separate your words, variables and numbers correctly. Otherwise, it makes no sense.

In summary, the Fourier coefficients for the periodic function y(t) = -3 on the interval -5 ≤ t ≤ 5 are:

c₀ = -3 (DC component)

cₙ = 0 for n ≠ 0 (other coefficients)

To find the Fourier coefficients of the periodic function y(t) = -3 on the interval -5 ≤ t ≤ 5, we can use the formula for Fourier series coefficients:

cn = (1/T) ∫[t₀-T/2, t₀+T/2] y(t) \(e^{(-i2\pi nt/T)}\) dt

where T is the period of the function and n is an integer.

In this case, the function y(t) is constant, y(t) = -3, and the period is T = 10 (since the interval -5 ≤ t ≤ 5 spans 10 units).

To find the Fourier coefficient c₀ (corresponding to the DC component or the average value of the function), we use the formula:

c₀ = (1/T) ∫[-T/2, T/2] y(t) dt

Substituting the given values:

c₀ = (1/10) ∫[-5, 5] (-3) dt

  = (-3/10) \([t]_{-5}^{5}\)

  = (-3/10) [5 - (-5)]

  = (-3/10) [10]

  = -3

Therefore, the DC component (c₀) of the Fourier series of y(t) is -3.

For the other coefficients (cₙ where n ≠ 0), we can calculate them using the formula:

cₙ = (1/T) ∫[-T/2, T/2] y(t)\(e^{(-i2\pi nt/T) }\)dt

Since y(t) is constant, the integral becomes:

cₙ = (1/T) ∫[-T/2, T/2] (-3) \(e^{(-i2\pi nt/T)}\) dt

  = (-3/T) ∫[-T/2, T/2] \(e^{(-i2\pi nt/T)}\) dt

The integral of e^(-i2πnt/T) over the interval [-T/2, T/2] evaluates to 0 when n ≠ 0. This is because the exponential function oscillates and integrates to zero over a symmetric interval.

all the coefficients cₙ for n ≠ 0 are zero.

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Answer:

its 2

Step-by-step explanation:

When two variables are directly proportional to each others .

Answer:

hope this helps you