For the equation, 2x + 6 = 3x - 10, what is the solution

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].

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Answer:

Hey there!

Velocity is a vector, not a scalar because it also has direction.

Let me know if this helps :)

Answer:

Velocity because it has direction

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:

v = -12

Step-by-step explanation:

if you combine like terms it is

29 = = -3v - 7

so then you add 7 to both sides

-3v = 36

then you divide both by -3 and you get v = -12

Answer:

v = -12

Step-by-step explanation:

First, add like terms.

29 = -8v - 7 + 5v

29 = -3v - 7

Solve for v:

36 = -3v

-12 = v

So, v = -12

Answer:

Step-by-step explanation:

La división es una operación matemática que consiste en averiguar cuántas veces un número está contenido en otro número. En otras palabras, dividir es repartir un número en grupos iguales.

En este caso, deseas repartir 350 sillas en filas, en las cuales entran 20 sillas. Entonces, para conocer cuántas filas completas podes formar haces la división: 350÷20= 17.5

Entonces, se podrán formar 17 filas completas y, al ser 17.5 un número decimal, indica que hay otra fila que quedará incompleta.

Para saber cuántas sillas tendrá la fila incompleta podes realizar el siguiente cálculo: 17 filas*20 sillas= 340, que indica que para completar las 17 filas usas un total de 340 sillas. Si tenes 350, entonces en la fila incompleta hay solo 10 sillas (obtenida mediante la operación 350-340= 10) de las 20 que debería haber, faltando otras 10 sillas para completarla.

Finalmente:

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: 0

Step-by-step explanation: since it’s 2 negatives it will lead up too 0 and it can’t be undefined

The slope of the given points is -17.

The slope is defined as the ratio of the vertical change between two points, the rise, to the horizontal change between the same two points.

Given that, a slope passes through two points (-6, -7) and (-24, -7)

Slope = (y2-y1)/(x2-x1)

= (-24+7)/(-7+6)

= -17

Hence, the slope is -17.

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Answer:

Step-by-step explanation:

Answer:

[tex]8 - 4( - x + 5) = 8 + 4x - 20 = 4x - 12[/tex]

Step-by-step explanation:

the answer is A

Answer:

find slope m

m=y2-y1/x2-x1

m=-9-(-7)/-5-(-10)

m=-9+7/-5+10

m=-2/5

y=-2/5 x+b ( find b at point (-10,-7)

-7=-2/5(-10)+b

-7=20/5+b

b=-7-4

b=-11

y=-2/5 x -11 slope intercept form

y-(-7)=-2/5(x-(-10)

y+7=-2/5(x+10) point slope form

Answer:

3.590.04

Step-by-step explanation:

The formula given for total amount saved when compounding interest =

A = P(1 + r/n)^nt

Where

A = Total amount saved after t years

P = Principal or initial amount saved

r = Interest rate

n = compounding frequency

t = time in years

From the above question

P = 3000

r =6% = 0.06

n =compounded monthly = 12

t = 3 years

Hence,

A = 3000(1 + 0.06/12)^3 × 12

A = 3000(1 + 0.06/12)^36

A = 3,590.04

Therefore, the total amount Imran will have in his account after 3 years = 3,590.04

Answer:

There are a total of 36 flowers in the bouquet.

Step-by-step explanation:

1/5 + 3/10 = 1/2 when simplified. So half of her flowers are yellow and the other  half is red and white. Sence Lauren has 18 yellow flowers then there must be a total of 18 red and white flowers. So 18 + 18= 36.

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: The filled out table is shown below

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

Explanation:

We have three variables p,q, and r. So we'll have 2^3 = 8 different rows as this table indicates. The 8 rows is to ensure that we handle all possible T/F values for the three variables.

This is where things could get tricky, but I recommend listing four copies of T in the first column, and then four copies of F right below it. That takes care of column p. For column q, we'll have two copies of TTFF to get 8 values total. Then finally column r will have four copies of T,F repeated. This takes care of all possible combos to help fill out the rest of the table.

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

For the column labeled ~p, we'll basically flip everything you see in column p. If something is true, then flip it to false, or vice versa. This is the negation of p. The same will go for the ~r column as well.

For the ~p v q column, we'll do a disjunction between ~p and q. A disjunction is only false when both pieces are false; otherwise it's true. So ~p v q is only false when both ~p and q are together false. The v symbol stands for "or".

The last column is doing a conjunction between the (~p v q) column and the ~r column. A conjunction is only true when both pieces are true; otherwise it's false. It's effectively the reverse of a disjunction. The upside down v symbol stands for "and".

Again the filled out table is shown below. It might help to use a piece of paper to cover up some of the rows if things get too cluttered.

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:

Approximately 5,250,000 kg of methane would be released.

Step-by-step explanation:

Given: 1,000 termites release approximately 500 g of methane annually

           3.5 x [tex]10^{6}[/tex] termites per hectare

Thus, population of termites inhabiting 3,000 hectares = number of termites per hectare x 3,000

= 3.5 x [tex]10^{6}[/tex] x 3,000

= 10 500 000 000

= 1.05 x [tex]10^{10}[/tex]

Since 1,000 termites release 500 g of methane, then 10 500 000 000 termites would release:

[tex]\frac{10500000000}{1000}[/tex] x 500 g

= 5250000000 g

But 1000 g = 1 kg, so that;

[tex]\frac{5250000000}{1000}[/tex]

 = 5250000 kg

Approximately, 5,250,000 kg of methane would be released by termites inhabiting 3,000 hectares of tropical rain forest.

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.

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Answer: The answer would be d. 3434

Step-by-step explanation:

Answer:

17x^2 -22x -2

Step-by-step explanation:

Just so you know when I put (^) the number after it is a exponent.

Answer:

The value of the slope in this equation is 50

The interpretation is that the rate of change in the cost of the phone bill per unit change in gigabytes of data used each month is 50

Step-by-step explanation:

To answer this question, we need to compare the given equation with the equation of a straight line graph.

The equation we have is;

c = 50g + 75

comparing this with the equation of a straight line, we have

y = mx + c

where m represents the slope and c is the y-intercept

So comparing both, the slope of the equation is 50.

The slope is always the co-efficient of the value on the x-axis

So what does this mean?

The slope also called the gradient represents the rate of change of the y-term divided by the rate of change of the x-term. In simpler terms, when we talk of the slope, we mean the rate of change of the y term per the unit change of the x-term.

So what we mean in this case is the rate of change in cost of the phone bill per unit change in gigabytes of data used each month is 50

Answer:

[tex] \boxed{ \bold{ { \sf{height \: = \: 17.29 \: cm}}}}[/tex]

[tex] \boxed{ \bold{ \sf{base = 51.87 \: cm}}}[/tex]

Step-by-step explanation:

Let the height of a parallelogram be 'x'

Base of a parallelogram be 3x

Area of a parallelogram ( A ) = 897 cm²

Base ( b ) = ?

Height ( h ) = ?

First, finding the height of a parallelogram ( x )

[tex]\bold{ \boxed{ \sf{area \: of \: a \: parallelogram \: = \: base \: \times \: height}}}[/tex]

[tex] \dashrightarrow{ \sf897 = 3x \times x}[/tex]

[tex] \dashrightarrow{ \sf{897 = 3 {x}^{2} }}[/tex]

[tex] \dashrightarrow{ \sf{3 {x}^{2} = 897}}[/tex]

[tex] \dashrightarrow { \sf{ \frac{3 {x}^{2} }{3} = \frac{897}{3} }}[/tex]

[tex] \dashrightarrow{ \sf{ {x}^{2} = 299}}[/tex]

[tex] \dashrightarrow{ \sf{x = \sqrt{299} }}[/tex]

[tex] \dashrightarrow{ \sf{x = 17.29}}[/tex]

Height of a parallelogram = 17.29 cm

Finding the base of the parallelogram

[tex] \sf{base \: of \ \: a \: parallelogram = 3x}[/tex]

⇒[tex] \sf{base \: of \: a \: parallelogram = \: 3 \times 17.29}[/tex]

⇒[tex] \sf{base \: of \: a \: parallelogram = 51.87 \: cm}[/tex]

Base of a parallelogram = 51.87 cm

Hope I helped!

Best regards! :D

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:

25+z

Step-by-step explanation

the sum is adding them?

The sum of the number 25 and the letter will be (25 + z).

The analysis of mathematical representations is algebra, and the handling of those symbols is logic.

PEMDAS rule means for the Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This rule is used to solve the equation in a proper and correct manner.

The sum of the number 25 and the letter is given by putting the plus sign between the number 25 and the letter z. Then the expression will be

⇒ (25 + z)

The sum of the number 25 and the letter will be (25 + z).

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Answer:

-77

Step-by-step explanation:

-57-(-13+33)

=-57-20

=-77

Answer:

Slope = -2

y-intercept = -3/5

Falling

Step-by-step explanation:

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

m = Slope = -2

y-intercept = b =

[tex] - \frac{3}{5} [/tex]

The slope of the equation has a negative number so the graph is falling

Answer:

There is a sub-field of geometry called formal geometry which is related to algebraic geometry and deals with topics such as formal schemes , topological rings , the comparison theorem in algebraic geometry , the Grothendieck existence theorem.

Informal geometry have the topics of definitions, measurements, and constructions of geometric shapes and figures. No attention to formal proofs is given. Subtopics include points, lines, angles, triangles, quadrilaterals, circles, area, and perimeter.

Step-by-step explanation:

Answer:60

Step-by-step explanation:

Answer:

z = 80

Step-by-step explanation:

A quadrilateral has angles that sum to 360 degrees

E + C+ G+F = 360

100+60+120+F = 360

Combine like terms

280+F = 360

F = 360-280

F = 80

We know that ABCD is similar to FECG

That means  the measure of A =  measure of F

z = 80