Please help I have no clue what I’m doing! Grade is getting low and this was due awhile ago!

Given the function below, determine the following.

f(x) = 10x + 13

Find f(3).
f(3)

Find f(-8).
f(-8)

Find x if f(x) = 53.
x=

Answer:

DF = 13

Step-by-step explanation:

Congruent triangles:

        In ΔABC & ΔDEF,

                     ∠A = ∠D

                     ∠C = ∠F

                      CB = FE

            ΔABC ≅ ΔDEF   {Angle Angle Side congruency}

              DF = AC = 13

The Simplification of square root of three times square root of twenty one is; C: three square root of seven

The Laws of Exponents are;

We have the expression;

√3 * √21

= √3 * √3 * √7

= (√3 * √3) * √7

= 3√7

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The solution of the polynomial division 12x³ + 5x² - 27x + 13 is divided by 3x - 1 is; 4x² + 3x - 8 + (5/(3x - 1))

We want to use long division method to solve the polynomial division when 12x³ + 5x² - 27x + 13 is divided by 3x - 1.

             4x² + 3x - 8

          -------------------------

3x - 1  | 12x³ + 5x² - 27x + 13

         -  12x³ - 4x²        

          -----------------------------

                     9x² - 27x  

                 -   9x² - 3x

          -----------------------------

                            -24x + 13

                        -    -2x + 8

          -----------------------------

                                      5

          -----------------------------

Expressing the solution of the polynomial division in the given quotient and remainder form gives us;   4x² + 3x - 8 + (5/(3x - 1))

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Answer:

its 12

Step-by-step explanation:

Out of the given integer(s), {−3} is the integer which will make the inequality 5x + 12 > 2x + 6 false.

As per the question statement, we are supposed to determine which integer will make the inequality 5x + 12 > 2x + 6 false

Let's solve the inequality for range of x first,

5x + 12 > 2x + 6

5x - 2x > 6 - 12

3x > -6

x > -2

So for all values of x > -2, the inequality 5x + 12 > 2x + 6 is true and for all values of x < -2, the inequality 5x + 12 > 2x + 6 false.

And out of the given options only x = -3 < -2

Hence, we accept {−3} as our required integer.

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Answer:

S:{−3}

Step-by-step explanation:

Got it right on a test.

Answer:

[tex](y+2)=\frac{2}{3} (x-5)[/tex]

Step-by-step explanation:

Point slope form is shown below:

[tex](y-y_1)=m(x-x_1)[/tex]

We are given the slope m = 2/3 and the point x1 = 5, y1 = -2

Simply plug in these numbers into the above equation.

[tex](y--2)=\frac{2}{3} (x-5)[/tex]

Simplify:

[tex](y+2)=\frac{2}{3} (x-5)[/tex]

Answer: x = -33

Explanation:

Given the following question:

x - 11 = -44

Step 1: collect the like terms

x = -44 + 11

x = -33

Therefore, x = -33

Hello!

Let's take this problem step by-step:

What is the formula for the circumference of a circle:

 [tex]\text{Circumference} = 2\pi *\text{radius}[/tex]

Since the circumference is 25 cm

  [tex]25 = 2\pi *\text{radius}\\\\\text{radius} = \dfrac{25}{2\pi }[/tex]

Answer: [tex]\text{radius} = \dfrac{25}{2\pi }[/tex]

Hope that helps!

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The formula to calculate the lateral area of a cone is given by

where

LA=10.5pi in2

r=2.1 in

l=? slant height

substitute given values

Answer:

x²[tex]\sqrt{5}[/tex]

Step-by-step explanation:

using the rule of radicals

[tex]\sqrt{a}[/tex] × [tex]\sqrt{b}[/tex] ⇔ [tex]\sqrt{ab}[/tex]

given

5[tex]\sqrt{20x^4}[/tex] - 3[tex]\sqrt{45x^4}[/tex]

simplify the 20 and 45 inside the radicals

[tex]\sqrt{20}[/tex] = [tex]\sqrt{4(5)}[/tex] = [tex]\sqrt{4}[/tex] × [tex]\sqrt{5}[/tex] = 2[tex]\sqrt{5}[/tex]

[tex]\sqrt{45}[/tex] = [tex]\sqrt{9(5)}[/tex] = [tex]\sqrt{9}[/tex] × [tex]\sqrt{5}[/tex] = 3[tex]\sqrt{5}[/tex]

Then

= 5(2[tex]\sqrt{5}[/tex] x² ) - 3(3[tex]\sqrt{5}[/tex] x² )

= 10[tex]\sqrt{5}[/tex] x² - 9[tex]\sqrt{5}[/tex] x²

= x²[tex]\sqrt{5}[/tex]

We know that pair (B) (19 inches and 60 inches) can be a fair estimation of a circle's diameter and circumference.

So, let 'D' be the diameter and 'C' be the circumference.

Calculate C as:

(A) D = 5 m and C = 22 m

So, C = 15.7 m does not approximate 22 m.

(B) D = 19 in and C = 60 in

So, C = 59.66 approximates 60 in.

(C) D = 33 cm and D = 80 cm

So, C = 103.62cm does not approximate 80cm.

Therefore, we know that pair (B) (19 inches and 60 inches) can be a fair estimation of a circle's diameter and circumference.

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The correct question is given below:
Select all the pairs that could be reasonable approximations for the diameter and circumference of a circle. * 1 point A. 5 meters and 22 meters. B. 19 inches and 60 inches. C. 33 centimeters and 80 centimeters.

Answer:

113.85

Step-by-step explanation:

230*55% because 100%-45%=55% is 126.5

Then 126.5*90% because 100%-10%=90% which is 113.85

For the given data of saving account, unit rate is measured in dollars per week then constant of proportionality is equal to $7.

As given in the question,

For the saving account,

Amount deposited is directly proportional to the number of weeks

Let y be the amount deposited and x be the number of weeks

y ∝ x

y = kx

'k' is the constant of proportionality

As per data unit rate is measured in dollars per week

For y = $14 then x = 2 weeks

14 = 2k

⇒ k = $7

For y = $35 then x = 5weeks

35 =5k

⇒ k = $7

Therefore, for the given data of saving account, unit rate is measured in dollars per week then constant of proportionality is equal to $7.

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Answer:

The range is the allowed values of y.

Set notation: { y | -9 [tex]\leq[/tex] y [tex]\leq[/tex] 0, y ∈ R}

Interval notation: [-9,0]

Hope that helps

The values of x and y that satisfy the equation (x+yi)+(4+9i)=9-4i is x = 5 and y = -13  .

In the question ,

the equation is given as

(x+yi)+(4+9i)=9-4i

to find the value of x and y , we solve LHS and RHS of the equation separately

So LHS =

(x+yi)+(4+9i)

x+yi+4+9i

Adding the real and imaginary terms , we get

(x+4)+(y+9)i which is equal to RHS that is 9-4i

So , on comparing , we get

x+4 = 9    and      y+9 = -4

x= 9-4      and      y = -4-9

x = 5       and       y = -13

Therefore , the values of x and y that satisfy the equation (x+yi)+(4+9i)=9-4i is x = 5 and y = -13 .

The given question is incomplete , the complete question is

What are the The values of X and Y that satisfy this equation (x+yi)+(4+9i)=9-4i  ?

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Answer:

C

Step-by-step explanation:

f(x) =0

when the curve intersects the x axis

goodluck :)

Answer:

price for one ribbon =19 cents

she got $20

20- 16.77 the rest from the money = 3.23

so she spends 3.23 from buying the ribbon

how much ribbon does she buy

3.23 ÷ 0.19= 17 ribbons

The equation represent the number of gallons of water remaining in the tank is y = 28 - 2t

A mathematical equation is the statement that illustrates that the variables given. In this case, two or more components are taken into consideration to describe the scenario.

The water remaining is illustrated as y.

The time taken is t.

The appropriate equation will be:

y = 28 - (2 × t)

y = 28 - 2t

This illustrates the water remaining in the tank.

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Answer:

Yes, is a function

Step-by-step explanation:

it does not repeat x's

The value of  Q(x) =   x² - 1  

R(x) = 4

What is Long Division?

Long division is a common division procedure in mathematics that may be easily performed manually and is appropriate for dividing multi-digit Hindu-Arabic numbers. It simplifies a division problem into several shorter stages.

By long Division method:

                        x² - 1            

                     _______________________________

         (3x - 4) | 3x³ - 4x² - 3x

                       3x³ - 4x²

                       _________________

                            0 - 0   - 3x      

                                       - 3x + 4  

                                ___________________

                                          0  + 4

Q(x) =   x² - 1  

R(x) = 4

Hence, (3x³-4x²-3x) = (3x - 4)(x² - 1  ) + 4

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The number of homes in 2011 is 44,313

Given that 57 homes are built each year, in 2002, there were 43,800 homes, then the next years have the number of homes as follows:

2003: 43,800 + 57

2004: 43,800 + 57 + 57

2005: 43,800 + 57 + 57 + 57

This goes on until 43,800 + 57n

where n is the number of years after 2002.

2011 is 9 years after 2002, so the number of homes will be:

43,800 + 57(9)

= 43,800 + 513

= 44,313

This is because

distance = rate*time

Rate is another term for speed.

We can multiply each side by 14ft yo find the value on feet and late calculate the area

tha area formula is

where b=84ft and h=112ft

the area is 4,704ft2

Correct answer is A, the rule for translating ABC to A'B'C' is left 2, up 9.

An example of a transformation is a translation, which moves every point in a figure uniformly and in one direction. are frequently called slides. You can use notation or words to express a translation, such as "moved up 3 and over 5 to the left."

A translation in geometry is a type of transformation that shifts a geometric figure in a certain direction without altering its size or orientation. The figures are congruent before and after the transformation since it is a type of stiff transformation.

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The statement that shows the values of -0.5,-2.8,1.9,0.9 and -1.7 plotted on a number line is " A number line starting at negative 3.3 with tick marks every one tenth unit up to 2.1. The values for negative 2.8, negative 1.7,negative 0.5,0.9 and 1.9 are plotted."

Here the values are

-0.5,-2.8,1.9,0.9 and -1.7

The number line a graphical representation that a line on which numbers are marked at intervals, used to represents the simple numerical operations.
Here there are three negative numbers -0.5,-2.8 and -1.7

The positive numbers are 1.9 and 0.9

The statement "A number line starting at negative 3.3 with tick marks every one tenth unit up to 2.1. The values for negative 2.8, negative 1.7, negative 0.5,0.9 and 1.9 are plotted" is suited of all the given conditions

Hence, The statement that shows the values of -0.5,-2.8,1.9,0.9 and -1.7 plotted on a number line is " A number line starting at negative 3.3 with tick marks every one tenth unit up to 2.1. The values for negative 2.8, negative 1.7, negative 0.5, 0.9, and 1.9 are plotted."

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The coordinates of the endpoint G is (0, 7).

The midpoint of the coordinate is the centre point which can be calculated by finding the average. So, the relation representing the endpoints and midpoint is as follows -

Midpoint (x, y) = ([tex] x_{1}[/tex] + [tex] x_{2}[/tex]/2), ([tex] y_{1}[/tex] + [tex] y_{2}[/tex]/2)

Keep the value in mentioned formula to find the endpoint G, represented as [tex] x_{1}[/tex] and [tex] y_{1}[/tex].

(3, 6) = ([tex] x_{1}[/tex] + 6/2) ([tex] y_{1}[/tex] + 5/2)

Relating the x and y values -

x value :

3 = [tex] x_{1}[/tex] + 6/2

[tex] x_{1}[/tex] + 6 = 3×2

[tex] x_{1}[/tex] + 6 = 6

[tex] x_{1}[/tex] = 6 - 6

[tex] x_{1}[/tex] = 0

y value :

6 = [tex] y_{1}[/tex] + 5/2

[tex] y_{1}[/tex] + 5 = 6×2

[tex] y_{1}[/tex] + 5 = 12

[tex] y_{1}[/tex] = 12 - 5

[tex] y_{1}[/tex] = 7

Thus, the coordinates of point G from the line GH is (0, 7).

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Answer:

-130

Step-by-step explanation:

g(18)= -8(18)+14

=-144+14

=-130

The most appropriate choice for remainder theorem will be given by-

Quotient = [tex]-x^3-2[/tex]

Remainder = -3

What is remainder theorem?

When f(x) is divided by (x-a), the remainder will be f(a).

If the remainder is zero, (x-a) will become a factor of f(x)

Expression to be divided is called dividend, expression by which dividend is divided is called divisor, expression obtained on division is called Quotient and the other part is the remainder.

There is also a well known formula

Divisor x Quotient + Remainder = Dividend

Here,

P(x) = [tex]-x^4 +3x^3 -2x+3[/tex]

P(3) =  [tex]-(3)^4+3(3)^3-2(3)+3[/tex]

      = [tex]\\-81+81-6+3[/tex]

      = -3

So by Remainder theorem, remainder is P(3)

So, Remainder = -3

Let the quotient be q(x)

divisor = [tex]x - 3[/tex]

We know,

Divisor x Quotient + Remainder = Dividend

[tex](x-3) \times q(x) +(-3) = -x^4 +3x^3 -2x+3\\(x-3) \times q(x) = -x^4 +3x^3 -2x+3 +3\\(x-3) \times q(x) = -x^4 +3x^3 -2x+6\\q(x) = \frac{-x^4 +3x^3 -2x+6}{x -3}\\q(x) =\frac{ -x^3(x-3)-2(x-3)}{x-3}\\q(x) = \frac{(x-3)(-x^3-2)}{x-3}\\q(x) = -x^3-2[/tex]

So, Quotient = [tex]-x^3-2[/tex]

Remainder = -3

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