Evaluate the function,
f (x) = 5 - 4x for f(-2)

Answer:

C-D/A=B

C minus D all of that over A = B

Answer:

483.56 square milimeters

Step-by-step explanation:

In the above question, we obtain the following information:

Slant height = 15mm

Radius = 7mm

π = 3.14

Since we are given the slant height ,

the formula for surface area of a cone = πrl + πr²

= πr (l + r)

= 3.14 × 7(15 + 7)

= 3.14 × 7( 22)

= 21.98(22)

= 483.56 square milimeters

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▹ Answer

-1 - 1/2x

▹ Step-by-Step Explanation

3x ÷ x - 4 + x - 3 ÷ 2x

Divide and Rewrite:

3 * 1 - 4 + x - 3 ÷ 2 * x

Calculate:

3 - 4 + x - 3/2x

-1 + x - 3/2x

= -1 - 1/2x

Hope this helps!

CloutAnswers ❁

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Answer:

Step-by-step explanation:

[tex]\frac{3x}{x-4}+\frac{x-3}{2x}[/tex]

Make them into common denominators. To do so, multiply by the LCM of the denominators. The LCM of the denominators is (x-4)(2x). Thus, we multiply 2x to the first term and (x-4) to the second:

[tex](\frac{2x}{2x}) \frac{3x}{x-4}+(\frac{x-4}{x-4}) \frac{x-3}{2x}[/tex]

Simplify:

[tex]\frac{6x^2}{2x(x-4)}+\frac{x^2-7x+12}{2x(x-4)} \\=\frac{7x^2-7x+12}{2x(x-4)}[/tex]

And this cannot be simplified further (you can also distribute the denominator if preferred).

Answer:

8

Step-by-step explanation:

yº  (in words, 'y to the power zero') is simply 1.  We then have

3yºx+x-y  =  3(1) + 2x - y  =  3 + 2x - y.

Substituting 1 for x and -3 for y, we get the expression value:

3 + 2 - (-3)  =  8

Answer:

4%

Step-by-step explanation:

As indicated in the question, this is a simple interest question.

The formula for Simple Interest =

I = Principal × Rate × Time

In the above question, we were given the following values.

A = Total value / amount of money = $50000

Principal = $46875

Rate = ??

Time = 1 yr and 8 months

= 1 year +(8/12)

Time = 1.6666666667 years

We are asked to solve for the rate interest per year. Hence, the formula to use to solve this question is given as:

r = (1/t)(A/P - 1)

r = (1/1.6666666667)(50000/46875 - 1)

r = 0.04

Converting to percentage, rate = 0.04 × 100 = 4%

Therefore, the rate interest per year is 4%

Answer:

This is true

Step-by-step explanation:

Yes when you make a radical into a power you can simplify the power, like you are saying.

Answer:

-1/3y +8 = x

Step-by-step explanation:

y=26−(3x+2)

Distribute

y = 26 -3x-2

Combine like terms

y = 24 -3x

Subtract 24 from each side

y -24 = -3x

Divide each side by -3

y / -3 -24/-3 = -3x/-3

-1/3y +8 = x

Answer:

Below

Step-by-step explanation:

● x^2 + 11x + 121/4 = 125/4

Substract 125/4 from both sides:

● x^2 + 11x + 121/4-125/4= 125/4 -125/4

● x^2 + 11x - (-4/4) = 0

● x^2 +11x -(-1) = 0

● x^2 + 11 x + 1 = 0

This is a quadratic equation so we will use the determinanant (b^2-4ac)

● a = 1

● b = 11

● c = 1

● b^2-4ac = 11^2-4*1*1 = 117

So this equation has two solutions:

● x = (-b -/+ √(b^2-4ac) ) / 2a

● x = (-11 -/+ √(117) ) / 2

● x = (-11 -/+ 3√(13))/ 2

● x = -0.91 or x = -10.9

Round to the nearest unit

● x = -1 or x = -11

The solutions are { -1,-11}

The solution of the equation x² + 11x + (121/4) = 125/4 will be 0.09 and negative 11.09.

The distribution of weights to the variables involved that establishes the equilibrium in the calculation is referred to as a result.

The equation is given below.

x² + 11x + (121/4) = 125/4

Simplify the equation, then the equation will be

4x² + 44x + 121 = 125

4x² + 44x + 121 - 125 = 0

4x² + 44x - 4 = 0

x² + 11x - 1 = 0

We know that the formula, then we have

[tex]\rm x = \dfrac{-b \pm \sqrt {b^2 - 4ac}}{2a}[/tex]

The value of a = 1, b = 11, and c = -1. Then we have

[tex]\rm x = \dfrac{-11 \pm \sqrt {11^2 - 4 \times 1 \times (-1)}}{2 \times 1}\\\rm x = \dfrac{-11 \pm \sqrt {121 +4}}{2 }\\x = \dfrac{-11 \pm \sqrt {125}}{2 }[/tex]

Simplify the equation, then we have

x = (- 11 ± 11.18) / 2

x = (-11 - 11.18) / 2, (-11 + 11.18) / 2

x = -11.09, 0.09

The solution of the equation will be 0.09 and negative 11.09.

More about the solution of the equation link is given below.

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Answer:

(2, -7)

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

The quotient is  5x³ -5x² + 2x -2.

Synthetic division is typically used to identify the zeroes of polynomials and is described as "a simplified method of dividing a polynomial with another polynomial equation of degree 1." This division method requires less human calculation effort than the lengthy division method.

Given:

(5[tex]x^4[/tex] – 3x² + 4) ÷ (x + 1)

So, the division is

                       (x+1) |  (5[tex]x^4[/tex] – 3x² + 4) | 5x³ -5x² + 2x -2

                                   5[tex]x^4[/tex] + 5x³

                               ___________

                                          -5x³ - 3x²

                                          -5x³ - 5x²  

                                       ____________

                                                    2x² + 4    

                                                    2x² + 2x      

                                              ____________

                                                              4 - 2x      

                                                              -2 - 2x

                                                             _______

                                                                    6

Hence, the quotient is  5x³ -5x² + 2x -2.

Learn more about Synthetic Division here:

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Answer:

100.5 ft^2

Step-by-step explanation:

First find the area of the rectangle

A = l*w

A = 12.16 * 6

A =72.96 ft^2

Then find the area of the triangle

A = 1/2 bh

The base is 12 ft - 6ft = 6ft

The height is 9.16 ft

A = 1/2 ( 9.16) * 6

A = 27.48 ft^2

Add them together

27.48+72.96

100.44 ft^2

Round to the nearest tenth

100.5 ft^2

Answer:

[tex]\huge \boxed{\mathrm{100.4 \ ft^2 }}[/tex]

Step-by-step explanation:

To find the area of the shape, we can add the area of the rectangle with the area of the triangle.

Area of rectangle :

base × height

6 ft × 12.16 ft

72.96 ft²

Area of triangle :

base × height × 1/2

(12 ft - 6 ft) × 9.16 ft × 1/2

6ft × 9.16 ft × 1/2

27.48 ft²

Adding the areas.

72.96 ft² + 27.48 ft²

100.44 ft²

≈ 100.4 ft² (rounded to nearest tenth)

Answer:

[tex]\sqrt{13}[/tex]

Step-by-step explanation:

Use the distance formula:

[tex]\sqrt{(x_{2}-x_{1})^2+(y_{2}-y_{1})^2}[/tex]

Insert the values:

[tex](2_{x1},5_{y1})\\\\(-1_{x1},3_{y2})\\\\\\sqrt{(-1-2)^2+(3-5)^2}[/tex]

Simplify:

[tex]\sqrt{(-1-2)^2+(3-5)^2}\\\\ \sqrt{(-3)^2+(-2)^2}\\\\ \sqrt{9+4}\\\\\sqrt{13}[/tex]

The distance between the two points is the square root of 13.

:Done

Answer: [tex]\sqrt{13}[/tex] or 3.61

Step-by-step explanation:

[tex]\sqrt{\left(x_2-x_1\right)^2+\left(y_2-y_1\right)^2}[/tex]

[tex]\sqrt{\left(-1-2\right)^2+\left(3-5\right)^2}[/tex]

[tex]\sqrt{9+4}[/tex]

[tex]=\sqrt{13}[/tex]

Hi there! :)

Answer:

[tex]\huge\boxed{(-1, -10.5)}[/tex]

Use the midpoint formula to solve for the midpoint:

[tex](x_{m}, y_{m}) = (\frac{x_{1}+x_{2} }{2} , \frac{y_{1}+y_{2}}{2})[/tex]

Plug in the points:

[tex](x_{m}, y_{m}) = (\frac{-5+3 }{2} , \frac{-13 -8}{2})[/tex]

Simplify:

[tex](x_{m}, y_{m}) = (\frac{-2 }{2} , \frac{-21}{2})[/tex]

[tex](x_{m}, y_{m}) = (-1 , -10.5)[/tex]

Answer:

(B) A location

Step-by-step explanation:

If you have a point on a graph or number line, it always represents a certain location on the graph.

For instance, if we have a point on the x=3 line and the y=4 line, the point would represent the location (3,4).

Hope this helped!

Answer:

The corresponding point is (-8, -6).

Step-by-step explanation:

Given that

(-6,-6) lies on the graph of [tex]f(x)[/tex]

A function is represented in the form:

[tex]y = f(x)[/tex]

i.e. (-6,-6) means value of x = -6 is put and value y came out as -6.

[tex]f(-6) = -6[/tex]

Now, we have to find the corresponding point on [tex]f(\frac{3}{4}x)[/tex].

We know the value of [tex]f(-6)[/tex]

Let us find the value of x where [tex]\frac{3}{4}x[/tex] becomes equal to -6

[tex]\dfrac{3}{4}x=-6\\\Rightarrow 3x=-24\\ \Rightarrow x =-8[/tex]

So, let us put value of [tex]x = -8[/tex] in [tex]f(\frac{3}{4}x)[/tex]:

[tex]f(\frac{3}{4}\times (-8))\\\Rightarrow f(3\times (-2))\\\Rightarrow f(-6) = -6[/tex](as per given statement)

So, the corresponding point is (-8, -6).

Answer:

-25, -5

Step-by-step explanation:

Let's write a system of equations. Lets call x and y the numbers, where x is 5 times y.

x + y = -30

x = 5y

Plugging this in, we get:

5y + y = -30

y = -5

Since y = -5, we can plug this in, and see that x = -25.

Answer:

-5 & -25

Step-by-step explanation:

1st number=x

2nd number=5x

x+5x=-30

6x=-30

x=-5

5x=-25

So the numbers are -5 & -25

Answer:

Anthropologists study human societies and cultures and the development of them from the past and present. They study this to analyze the differences and evolutions that us as humans have.

Answer:

-.26

Step-by-step explanation:

If you take the absolute value (indicates how far a number-negative/positive- is from 0) of each number u listed you will find that .26 is the smallest number,thus smallest number.

Answer:

-.26 is closest to 0 on the number line.

Step-by-step explanation:

To find distance we use absolute value to find the smallest absolute value.

The absolute value of each number is as follows

-0.26 (0.26)

0.3 (0.3)

0.275 (0.275)

-0.51 (0.51)

In order from least to greatest we have

.26, .275, .3, .51

Therefore -.26 is closest to 0 on the number line.

Good luck!!

Answer:

S = x + 10

R = 2x + 10

Step-by-step explanation:

If R is Roberto's age, and S is his sister's age, then:

R = S + x

R − 10 = 2 (S − 10)

Solve with substitution.

S + x − 10 = 2 (S − 10)

S + x − 10 = 2S − 20

S = x + 10

R = 2x + 10

Answer:

w = 5

Step-by-step explanation:

Hey there!

Cross multiply,

84 = 12w + 24

-24 to both sides

60 = 12w

Divide both sides by 12

w = 5

Hope this helps :)

Answer:

y = 3x+13

Step-by-step explanation:

y-3x=13

Add 3x to each side

y-3x+3x=3x+13

y = 3x+13

The value of y for the given equation y - 3x = 13 is calculated to be y = 3x + 13.

Given that:

y - 3x = 13

It is required to find the value of y.

In order to find the value of y, the equation has to be solved in such a way that y has to be kept on one side.

Consider:

y - 3x = 13

Add 3x on both sides.

y - 3x + 3x = 13 + 3x

y = 13 + 3x

Hence, the value of y is 13 + 3x.

Learn more about Equations here :

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Answer:

[tex]\boxed{n=18}[/tex]

Step-by-step explanation:

[tex]\frac{n}{6} =\frac{9}{3}[/tex]

[tex]\sf Divide \ 9 \ by \ 3.[/tex]

[tex]\frac{n}{6} =3[/tex]

[tex]\sf Multiply \ both \ sides \ by \ 6.[/tex]

[tex]\frac{n}{6} \times 6 =3 \times 6[/tex]

[tex]n=18[/tex]

Answer:

n = 18

Step-by-step explanation:

n/6 = 9/3

Simplify the right side

n/6 = 3

Multiply each side by 6

n/6 *6 = 3*6

n = 18

Answer:

6x^2 + 15

Step-by-step explanation:

We don't know what the square of a number is, so we represent it as x^2

The first part tells us to find the product of 6 and the square of a number, so

6x^2

The second part tells us to add 15 so,

6x^2 + 15

The expression that should be represented is [tex]6x^2 + 15[/tex]

Given that

Based on the above information,

Let us assume the number should be x

So, from the above information, the expression should be [tex]6x^2 + 15[/tex]

Therefore we can conclude that The expression that should be represented is [tex]6x^2 + 15[/tex]

Learn more about the equation here:brainly.com/question/21105092?

Answer:

1.132d

Step-by-step explanation:

Cost of the dinner=$d

Coupon=10% after

Tax=8%

Tax=0.08d

Tax + cost of dinner= d + 0.08d

Coupon for 10% discount after tax

10% coupon discount means she will pay 100% - 10%( coupon)

=90%

Price=90%(d + 0.08d)

=0.9(1.08d)

She added 16% tip to the total cost before any price or discount was applied

16% of d

=0.16*d

=0.16d

New price= 0.09(1.08d) + 0.16d

=0.972d + 0.16d

=1.132d

Answer:

The roots of the equation, 3.1·x³ - 2.4·x²+ 6·x - 3 = 4·x² + 3·x + 2,  are;

x = 1.986, x = 0.0392 - 0.9·i, x = 0.0392 + 0.9·i

Step-by-step explanation:

The given equation is 3.1·x³ - 2.4·x²+ 6·x - 3 = 4·x² + 3·x + 2

Which gives;

3.1·x³ - 2.4·x²+ 6·x - 3 - 4·x² - 3·x - 2 = 0

3.1·x³ - 6.4·x²+ 3·x  - 5 = 0

Factorizing online, we get;

3.1·x³ - 6.4·x²+ 6·x + 3·x - 5 = 3.1·(x - 1.986)·(x² - 0.0784·x + 0.812) = 0

Therefore, the possible solutions are;

x - 1.986= 0 or x² - 0.0784·x + 0.812 = 0

The roots of the equation are x² - 0.0784·x + 0.812 = 0 are;

x = 0.0392 - 0.9·i, x = 0.0392 + 0.9·i

Therefore, the roots of the equation, 3.1·x³ - 2.4·x²+ 6·x - 3 = 4·x² + 3·x + 2,  are;

x = 1.986, x = 0.0392 - 0.9·i, x = 0.0392 + 0.9·i.

Answer:

El valor de x en esta ecuación es -1.

Step-by-step explanation:

4x - 8 + 9 - 6x = 3x + 6

En primer lugar, combinar términos similares en cada lado de la ecuación.

-2x + 1 = 3x + 6

A continuación, resta 3 veces en ambos lados de la ecuación.

-5x + 1 = 6

Ahora, resta 1 de ambos lados de la ecuación.

-5x = 5

Por último, divida por -5 en ambos lados de la ecuación.

x = -1

Answer:

0.036

Step-by-step explanation:

We can find the probability by dividing the number of people with type A blood by the total amount of people.

There are 900 people in total and 323 of them have type A blood.

323/900

= approximately 0.036

Answer: Choice B)  0.36

================================================

Work Shown:

323 people have blood type A

900 people are being sampled

323/900 = 0.35888888888889 approximately

This rounds to 0.36, which is the probability of picking someone with type A blood.

We don't use any other values given, so they are probably put in there as a distraction.

Answer:

D

Step-by-step explanation:

Since this is a right triangle, and we are given that one of the other angles is 30°, we have a 30°, 60°, 90° triangle.

In a 30°, 60°, 90° triangle, the side lengths are all related as shown below.

We should determine a first. a is the measure of the side opposite to the 30° angle. Thus:

[tex]a=11[/tex]

The side opposite to the 60° angle is given by a√3. Since a = 11, the side opposite to the 60° angle or x is:

[tex]x=(11)\sqrt{3}=11\sqrt3[/tex]

Finally, the hypotenuse will be 2a. Since a = 11, the hypotenuse or y will be:

[tex]y=2(11)=22[/tex]

Hence, x = 11√3 and y = 22.

Our answer is D.