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Answer:

see explanation

Step-by-step explanation:

(1)

5(x - 3y) + 4(4y - x) - 2(x - y) ← distribute all 3 parenthesis

= 5x - 15y + 16y - 4x - 2x + 2y ← collect like terms

= 3y - x

(2)

3 - 2(x + 2) = 6 ( subtract 3 from both sides )

- 2(x + 2) = 3 ( divide both sides by - 2 )

x + 2 = - 1.5 ( subtract 2 from both sides )

x = - 3.5

solution set = { - 3.5 }

(3)

The median is the middle value of the data in ascending order

1  4  4  7  8 ← in ascending order

       ↑ median = 4

The mean is the sum of the values divided by the count

mean = [tex]\frac{1+4+4+7+8}{5}[/tex] = [tex]\frac{24}{5}[/tex] = 4.8

The mode is the value which occurs most often

mode = 4

Thus the mode is equal to the median → C

(4)

Calculate the slope m using the slope formula

m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ ) = (A(1 - a, b + 1 ) and (x₂, y₂ ) = B(1 + a, 1 - b )

m = [tex]\frac{1-b-(b+1)}{1+a-(1-a)}[/tex]

= [tex]\frac{1-b-b-1}{1+a-1+a}[/tex]

= [tex]\frac{-2b}{2a}[/tex] ( cancel 2 on numerator/ denominator )

= [tex]\frac{-b}{a}[/tex] → d

Answer:

d

Step-by-step explanation:

Answer:

-2x-y

Step-by-step explanation:

The expression that represents the sum of (-3x - 4y) and (x + 3y) in simplest terms is -2x - y by combining like terms.

To simplify the expression, follow these steps:

Distribute the negative sign: Multiply the terms inside the parentheses by -1 to distribute the negative sign.

[tex]-3x - 4y + x + 3y[/tex]

Group the like terms: Combine the terms with the same variable.

In this case,  -3x and x, as well as -4y and 3y.

[tex](-3x + x) + (-4y + 3y)[/tex]

Combine the x terms: -3x + x equals -2x.

[tex]-2x + (-4y + 3y)[/tex]

Combine the y terms: [tex]-4y + 3y[/tex] equals -y.

[tex]-2x - y[/tex]

Therefore, the simplest form of the expression is [tex]-2x - y[/tex].

In summary, the expression [tex](-3x - 4y) + (x + 3y)[/tex] simplifies to [tex]-2x - y[/tex].

Learn more about like terms here:

https://brainly.com/question/16601020

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Answer:

-26

Step-by-step explanation:

[tex]\frac{5}{6}( \frac{1}{2}x+5) - 3x[/tex]

=  [tex]\frac{5}{6}( \frac{1}{2}*12+5) - (3*12)\\[/tex]

= -26

Answer:

A,C, & D

Step-by-step explanation:

Answer:

Step-by-step explanation:

B,A, and C

Answer:

-77

Step-by-step explanation:

-57-(-13+33)

=-57-20

=-77

Answer:

2:7

Step-by-step explanation:

if 2/9 of the class are women then 7/9 of the class are men.

[tex]\frac{2}{9}:\frac{7}{9}\\ 2*9:7*9\\18:63\\\frac{18}{9}:\frac{63}{9}\\2:9[/tex]

Answer:

0.9487

Step-by-step explanation:

a) The probability of having a defective product = p = 12% = 0.12

The probability of not having a defective product = q = 1 - p = 1 - 0.12 = 0.88

The number of DVD players = n = 50

X is the number of defective products.

The  probability that a skid of 50 DVD players will contain at least 3 defective units = P(X ≥ 3) = 1 - P(X ≤ 2)

P(X ≤ 2) = P(X = 0) + P(X = 1) + P(X = 2)

Using binomial:

P(X = 0) = [tex]C(n,x)p^xq^{n-x}=C(50,0)p^0q^{50-0}=\frac{50!}{(50-0)!0!}*0.12^0*0.88^{50-0}=0.0017[/tex]

P(X = 1) = [tex]C(n,x)p^xq^{n-x}=C(50,1)p^1q^{50-1}=\frac{50!}{(50-1)!1!}*0.12^1*0.88^{50-1}=0.0114[/tex]

P(X = 2) = [tex]C(n,x)p^xq^{n-x}=C(50,2)p^2q^{50-2}=\frac{50!}{(50-2)!2!}*0.12^2*0.88^{50-2}=0.0382[/tex]

P(X ≤ 2)= 0.0017 + 0.0114 + 0.0382 = 0.0513

P(X ≥ 3) = 1 - P(X ≤ 2) = 1 - 0.0513 = 0.9487 = 94.87%

Answer:

38.105

Step-by-step explanation:

The area of this triangle  = 0.5 * b * c * sin(A)

= 0.5 * 11 * 8 *sin(60)           sin(60) = [tex]\sqrt{3} /2[/tex] = .866025...

= 0.5 * 11 * 8 * .866025

= 38.105

Answer:

23.42

Step-by-step explanation:

because b was 11 making it the base

and c was 8 making it the side

you have to convert the 60degrees into ft

Answer:

1.25+√3 or 2.9821 to the nearest ten thousandth.

Step-by-step explanation:

sin 60 = √3/2,  tan 45 = 1 and cos^2 60 = (1/2)^2 = 1/4

So we get 2 *√3/2 + 1 + 1/4

= √3 +  1.25

Answer:

[tex] \boxed{\sf 2sin \: 60 ^{ \circ} + tan \: 45^{ \circ} + {cos}^{2} \ 60^{\circ} = 2.98} [/tex]

Step-by-step explanation:

We know:

[tex] \sf sin \: 60 ^{ \circ} = \frac{ \sqrt{3} }{2} \\ \\ \sf tan \: 45 ^{ \circ} = 1 \\ \\ \sf cos \: 60 ^{ \circ} = \frac{1}{2} [/tex]

So,

[tex] \sf \implies 2sin \: 60 ^{ \circ} + tan \: 45^{ \circ} + {cos}^{2} \: 60^{ \circ} \\ \\ \sf \implies \cancel{2} \times \frac{ \sqrt{3} }{ \cancel{2}} + 1 + {( \frac{1}{2}) }^{2} \\ \\ \sf \implies \sqrt{3} + 1 + {( \frac{1}{2}) }^{2} \\ \\ \sf \implies \sqrt{3} + 1 + \frac{1}{4} \\ \\ \sf \implies \sqrt{3} + 1 + 0.25 \\ \\ \sf \implies 1.25 + \sqrt{3} \\ \\ \sf \implies 1.25 + 1.73 \\ \\ \sf \implies 2.98[/tex]

Answer:X is 3

Step-by-step explanation:

We add 2x -8 plus x +17 equals 0.then group the like terms together.2x + x=8-17.

Answer:

multiply 8 x 4=22

Step-by-step explanation:

Answer:

multiply 8 x 4=22

Answer:

[tex]x = \sqrt{2} - 8\\x = -\sqrt{2} - 8[/tex]

Step-by-step explanation:

To complete the square, we first have to get our equation into [tex]ax^2 + bx = c[/tex] form.

First we add 16x to both sides:

[tex]x^2 + 16x + 62 = 0[/tex]

And now we subtract 62 from both sides.

[tex]x^2 + 16x = -62[/tex]

We now have to add [tex](\frac{b}{2})^2[/tex] to both sides of the equation. b is 16, so this value becomes [tex](16\div2)^2 = 8^2 = 64[/tex].

[tex]x^2 + 16x + 64 = -62+64[/tex]

We can now write the left side of the equation as a perfect square. We know that x+8 will be the solution because [tex]8\cdot8=64[/tex] and [tex]8+8=16[/tex].

[tex](x+8)^2 = -62 + 64[/tex]

We can now take the square root of both sides.

[tex]x+8 = \sqrt{-62+64}\\\\ x+8 = \pm \sqrt{2}[/tex]

We can now isolate x on one side by subtracting 8 from both sides.

[tex]x = \pm\sqrt{2} - 8[/tex]

So our solutions are

[tex]x = \sqrt{2} - 8\\x = -\sqrt{2} - 8[/tex]

Hope this helped!

Answer:

24x - 20

Step-by-step explanation:

Side = 6x - 5

Perimeter of square = 4 * side

                                  = 4 * (6x - 5)

Use distributive property

                                   = 4*6x - 4*5

                                   = 24x - 20

Answer:

24×-20

Step-by-step explanation:

formula=4L

4(6×-5)

24×-20

Answer: The answer would be d. 3434

Step-by-step explanation:

Answer:

a) What distance did he cover?

9 km

b) What was his displacement?

6.71kmSE

Step-by-step explanation:

a) What distance did he cover?

Total distance covered = 6km south + 3km east = 9km

b) What was his displacement?

Displacement =√( 6km)² + (3km)²

=√ 36 + 9

= √45

= 6.7082039325kmSE(SouthEast)

Approximately = 6.71kmSE

Answer:

Step-by-step explanation:

Answer:

d) 40.78 inches

Step-by-step explanation:

See attached for details

4 inches

e - 14 = 2c

22 - 14 = 2c

2c = 8

c = 8 : 2

c = 4 in

Answer:

[tex]\Huge \boxed{\mathrm{18 \ inches}}[/tex]

[tex]\rule[225]{225}{2}[/tex]

Step-by-step explanation:

Let the height of the emu be [tex]e[/tex].

Let the height of the stuffed canary be [tex]s[/tex].

[tex]e=22[/tex]

[tex]e=2s-14[/tex]

Substitution method.

[tex]22=2s-14[/tex]

Solving for the height of the stuffed canary.

Adding 14 to both sides.

[tex]36=2s[/tex]

Dividing both sides by 2.

[tex]18=s[/tex]

The height of the stuffed canary is 18 inches long.

[tex]\rule[225]{225}{2}[/tex]

Answer:

[tex]\large \boxed{\mathrm{-1.5}}[/tex]

Step-by-step explanation:

-1 1/2

1 over 2 is one half or 0.5

-1+0.5 = -1.5

Answer:

[tex] \boxed{\red{\bold{- 1.5}}}[/tex]

Step-by-step explanation:

[tex] - 1 \frac{1}{2} = - \frac{3}{2} \\ - \frac{ 3}{2} \frac{ \times 5}{ \times 5} \\ = - \frac{ 15}{10} = - 1.5[/tex]

hope this helps you.

will give the brainliest!

follow ~Hi1315~

Depends on your level of skills for one. Let's say you can replace a tire on a car within 30 min to 1 hr from the time you open the trunk to get the replacement.

Answer:

x = -20

Step-by-step explanation:

7 + x = -13

(subtract 7 from both sides)

x = -20

Answer:

x=-20................

Answer:

[tex]x=\sqrt5\text{ and } x=-\sqrt5[/tex]

Step-by-step explanation:

To solve for the 0s of a function, set the function to 0 and solve for the x. Therefore:

[tex]f(x)=5-x^2[/tex]

Set f(x) to 0:

[tex]0=5-x^2[/tex]

Add x^2 to both sides:

[tex]x^2=5[/tex]

Take the square root of both sides:

[tex]x=\pm\sqrt{5}[/tex]

So, our solutions are:

[tex]x=\sqrt5\text{ and } x=-\sqrt5[/tex]

Answer:

5

Step-by-step explanation:

Answer:

2a^2\sqrt{35a}

Step-by-step explanation:

​  

 I hope this helped

​

Greetings from Brasil...

For reverse function, just invert the X by the Y and vice versa.

Note that F(X) = Y and F⁻¹(X) = Y⁻¹

F(X) = 1(9X - 2)  ⇔  Y = 1(9X - 2)

replacing X with Y⁻¹

X = 1(9Y⁻¹ - 2)

Answer: $1,110 is what they need

Step-by-step explanation:

520+ m= 1630

1630- 520= 1110

m= 1110

Answer:

a. 8.50

Step-by-step explanation:

each pound is 2 kilogram

Answer:

Step-by-step explanation:

This number is real, negative and rational.

Answer:

The answer equals -8

Step-by-step explanation:

Order of Operations: BPEMDAS

FOIL - First, Outside, Inside, Last

Step 1: Write out expression

[tex](\sqrt{4-3i} -\sqrt{4+3i})^6[/tex]

Step 2: Expand

[tex](\sqrt{4-3i} -\sqrt{4+3i})(\sqrt{4-3i} -\sqrt{4+3i})(\sqrt{4-3i} -\sqrt{4+3i})(\sqrt{4-3i} -\sqrt{4+3i})(\sqrt{4-3i} -\sqrt{4+3i})(\sqrt{4-3i} -\sqrt{4+3i})[/tex]

Step 3: FOIL first 2

[tex](\sqrt{4-3i} -\sqrt{4+3i})^2 = -2[/tex]

Step 4: Replace square roots with -2

-2(-2)(-2) = (-2)³ = 8

Answer:

The required number is 7.

Dividing by this gives the perfect square 676.

Step-by-step explanation:

Finding the prime factors:

2) 4732

2) 2366

7) 1183

13)169    

     13

So 4372

= 2^2 * 7 * 13^2

= 4 *169 * 7

= 676 * 7

Now 676 is a perfect square so the answer is 7.

= 1283 * 4.

Answer is 1283.