if necessary, round to the nearest tenth and label your answer
10ft
4ft


​

[tex]2(i+3)>4(1-i)[/tex]

Distribute 2 in (i+3) and 4 in (1-i)

[tex]2i+6>4-4i[/tex]

Move -4i to another side and 6 to another side. When moving to another side, you'll have to change the sign/operator to opposite (Plus -> Minus, Multiply -> Divide)

[tex]2i+4i>4-6\\6i>-2\\[/tex]

For this part, move 6 to divide -2.

[tex]i>\frac{-2}{6} \\i>\frac{-1}{3}\\i>-\frac{1}{3}[/tex]

Whenever either a numerator or a denominator is in negative, we can pull out the negative in the middle of fraction.

Note that i is the symbol of imaginary number - as defined -  i = √-1 But for this one, It's just a variable if I assume.

Thus, the answer is i > -1/3

Answer:

Mean = 13.14, Median = 14, Mode = 15

Step-by-step explanation:

The mean is the numbers added together divided by the number of numbers

15 + 11 + 14 + 10 + 12 + 15 + 15 = 92

92 / 7 = About 13.14

The median is the middle of the numbers ordered from least to greatest

10 11 12 14 15 15 15

14 is in the middle so that is the median.

The mode is the number showing up the most.

15 shows up 3 times so it is the mode.

Answer:

The answer is below

Step-by-step explanation:

The distance between two points on a coordinate plane is given by:

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

Given the location of the apartment (AP) is at A(0,0), the Chicken Shack's (CS) location is at C(3, 4) and Baskin Robbins (BR) is at the location B(- 4, 4). Hence the following distance are:

[tex]|AB|=\sqrt{(-4-0)^2+(4-0)^2} =4\sqrt{2}\ units\\\\|AC|=\sqrt{(3-0)^2+(4-0)^2}=5\ units \\\\|BC|=\sqrt{(3-(-4))^2+(4-4)^2}=7\ units[/tex]

Hence the total distance travelled = distance between the apartment and chicken shack +distance between apartment and Baskin Robbins + distance between Baskin Robbins and chicken shack

total distance travelled = AB + BC + AC = 4√2 + 7 + 5

total distance travelled = 17.66 units

Answer:

He did not multiply 3 by the fraction 5/3.

Step-by-step explanation:

8/3=3c + 18/3

Answer:

If he keeps to the same ratio, how many raspberries will Tobias use? ... The first orange paint mixture contains 6 parts red and 9 parts yellow.

Step-by-step explanation:

Answer:

lol ok

Step-by-step explanation:

Answer:

ok Y?

Step-by-step explanation:

Answer:

21

Step-by-step explanation:

You have to distribute the 7 in this case:

f(x) = 7(-x + 3)

f(x) = -7x + 21

The y-intercept is the number without the x with it. So, with this function it is 21.

I hope this helps!!

- Kay :)

Answer:

x= 1.5

y= 4.125

Step-by-step explanation:

Step one:

given the two equations

[tex]-2x - 8y = -30-------1\\\\2x + 8y = 36--------2[/tex]

Step two:

let us subtract the equations

[tex]-2x - 8y = -30-------1\\\\ -(2x + 8y = 36)--------2\\\\0x-16y=-66[/tex]

[tex]-16y=-66\\\\16y=66[/tex]

divide both sides by 16

[tex]y=66/16\\\\y=4.125[/tex]

put y= 4.125 in equation 2

[tex]2x + 8(4.125)= 36\\\\2x+33=36\\\\2x=36-33\\\\2x=3\\\\x= 3/2\\\\x= 1.5[/tex]

Answer:

Answer is TS ≅ HG.

Step-by-step explanation:

When a triangle is rotated the corresponding parts are congruent.

Here we get image triangle S T R when we rotate the triangle G H J. So, the corresponding parts of congruent triangles are congruent.

So, ST = GH

RT= HJ

SR= GJ

<S= <G

<T = <H

<R=<J

According to them, the option TS= HG is correct.

Answer:

C. TS ≅ HG

Step-by-step explanation:

Credits to the person above!!!

Answer: 5

Step-by-step explanation:

Answer:

5

Step-by-step explanation:

Answer:

9 months

Step-by-step explanation:

Given

Fabulous fitness charges a one-time fee of $90 and an additional $25 per month

let the number of months be x

and the total charges be y

y= 25x+90---------1

Wonder weights charges a one-time fee of only $ 27 dollars but charge an additional $32 each month

let the number of months be x

and the total charges be y

y= 32x+27------------2

Required

The value of x, that is the number of months

Step two:

Equating both equations we have

25x+90=32x+27

collect like terms

25x-32x=27-90

-7x=-63

7x=63

divide both sides by  7

x= 63/7

x= 9 months

Answer:

I don't find any other way or solution

Step-by-step explanation:

5x^2+7x=5x(x+7/5)

Answer:

3

Step-by-step explanation:

10.50 x 3 = 31.5

15 x 13 = 195

195 + 31.5 = 226.50

Answer: So the answer to number 2 is D! And the answer to number 3 is C I think I am not pretty sure about #3 but I am sure its D for 2 and pretty sure for #3 is C!

Answer:The answer is 1/6

Step-by-step explanation:1/8 miles in 3/4 minutes

then, that means in 1 minute ( 1 min = 3/4 * 4/3) Emma will ride a distance of (1/8)*(4/3)= (1*4)/(8*3)= 1/6.

The answer is 1/6 (in 1 min she will ride 1/6 miles).

Answer:

<EBF = 40

Step-by-step explanation:

<EBF and <FBD are complementary, which means m<EBF + m<FBD = 90 degrees. Since m<FBD = 50 degrees, m<EBF = 90 - 50 = 40 degrees.

Answer:

Step-by-step explanation:

Rounding to the nearest THOUSANDS means 3 decimal places

The first graph shows the x-intercept of -3 and y - intercept of 5.

Option A is true.

What is Intercepts?

The points in which the graph crosses the two axis ( x and y axis) are called Intercepts.

Given that;

The x - intercepts = -3

And, The y - intercepts = 5

Since,

The x - intercepts = -3

That's mean the line cross at the point - 3 on x - axis.

And, The y - intercepts = 5

That's mean the line cross at the point 5 on y - axis.

Clearly, In graph first;

The graph of the line is crosses at the point on x - axis at the point -3 and y - axis at the point 5.

Therefore,

The first graph shows the x-intercept of -3 and y - intercept of 5.

Learn more about the intercepts visit:

https://brainly.com/question/26233

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The third degree - polynomial can be factored into a linear factor of x+2 and a quadratic factor of 2x²+x+5.

A third degree polynomial is a collection of algebraic expressions such that the highest degree of the variable is 3 and there are no fractional degrees and exponential variable.

To factor a polynomial we will use the factor theorem to find the linear factor. Then by dividing the polynomial by the linear factor we will calculate the quadratic factor.

Given polynomial P(x) = 2x³ + 5x² + 7x + 10

Now by using the trial and error method factor theorem we see that

g(x) = (x+2) is a factor of P(x) .

Now let us find the quadratic factor as:

P(x) ÷ g(x) = ( 2x³ + 5x² + 7x + 10) ÷ (x+2) = 2x²+x+5

Hence the third degree - polynomial can be factored into a linear factor of x+2 and a quadratic factor of 2x²+x+5.

To learn more about polynomial visit:

https://brainly.com/question/20121808

Disclaimer: The correct polynomial is  P(x) = 2x³ + 5x² + 7x + 10 .

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Answer:b

Step-by-step explanation:

Answer:A) -16

Step-by-step explanation:

Answer:

A and D

Step-by-step explanation:

C

i gotta add words so i meat the 20 character limit :)

The roots of the polynomial function f(x) = x³ - 3x² + 2 are [tex]\frac{2-\sqrt{12} }{2}, \frac{2+\sqrt{12} }{2}, \ and \ 1[/tex].

Given the polynomial function in the question:

f(x) = x³ - 3x² + 2

To find the roots of the polynomial function f(x) = x³ - 3x² + 2, we need to solve for values of x that make the function equal to zero.

f(x) = x³ - 3x² + 2

x³ - 3x² + 2 = 0

Factor the equation using the rational root test:
( x - 1 )( x² - 2x - 2 ) = 0

Equate each factor zero and solve for x:

( x - 1 ) = 0

x - 1 = 0

x = 1

( x² - 2x - 2 ) = 0

x² - 2x - 2 = 0

Using the quadratic formula:

[tex]x = \frac{-b\±\sqrt{b^2 - 4(ac)} }{2a} \\\\x = \frac{-(-2)\±\sqrt{(-2)^2 - 4(1*-2)} }{2*1} \\\\x = \frac{2\±\sqrt{4 + 8} }{2} \\\\x = \frac{2\±\sqrt{12} }{2}\\\\Hence:\\\\x = \frac{2-\sqrt{12} }{2}, \frac{2+\sqrt{12} }{2}[/tex]

Therefore, the roots are [tex]x = \frac{2-\sqrt{12} }{2}, \frac{2+\sqrt{12} }{2}, 1[/tex].

Options A, B and D are the correct answers.

Learn more about quadratic equations here: brainly.com/question/1863222

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Answer:

m=-1/2 or m=-2/4

Step-by-step explanation:

The rate of change or slope of the given line is [tex]m=-\frac{1}{2} or m=-\frac{2}{4}[/tex]

Given :

The graph of a line . To find out the slope or rate of change , we pick two points on the line.

Two points are (-8,2) and (4,-4)

Lets apply slope formula

[tex]Slope = \frac{y_2-y_1}{x_2-x_1}[/tex]

(-8,2) is (x1,y1)  

(4,-4) is (x2,y2)

Substitute all the values inside the formula

[tex]Slope = \frac{y_2-y_1}{x_2-x_1}\\slope =\frac{-4-2}{4+8} =\frac{-6}{12} =-\frac{-2}{4} =-\frac{1}{2}[/tex]

The rate of change or slope of the given line is [tex]m=-\frac{1}{2} or m=-\frac{2}{4}[/tex]

Learn more : brainly.com/question/17572076

Answer:

Step-by-step explanation:

1 is the answer

Given:

The three points are (-7,134), (-3,10) and (5,50).

To find:

The equation of parabola using quadratic regression.

Solution:

The general equation of quadratic regression is

[tex]y=ax^2+bx+c[/tex] ...(i)

The three points are (-7,134), (-3,10) and (5,50).

Using the graphing calculator, we get a=3, b=-1 and c=-20. Putting these values in (i), we get

[tex]y=3x^2+(-1)x+(-2)[/tex]

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

Therefore, the equation of parabola is [tex]y=3x^2-x-2[/tex] and the missing values in the given equation are 3, -1 and -20.

Answer:

132 km :)))))))))))))))

Step-by-step explanation:

The Hint said to find the two things in comparison

they are:

cross multiply the two equations

=99km*12lit=9lit*Xkm

=1188lit/km=9Xlit

note;

liters will annul liters

hence,

X=1188km/9

X = 132km

is the final answer