What is the sum of 3x² - x -2 and x² + 2x - 1?

Answer: 10

Step-by-step explanation:

You just add them together-

Step-by-step explanation:

using Pythagoras theorem :

hyp²= opp² + adj²

x²= 7² + 3²

x² = 49 + 9

x² = 58

take the root of both sides

x = √58

x = 7.62

Answer:

$5.22

Step-by-step explanation:

you would subtract so 5.60-.38=$5.22

Answer:

$5.22

Step-by-step explanation:

$5.22-0.38

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Answer:

A = -2.2

B =  -1.7

C =  1.87

D =  19.97

Step-by-step explanation:

A = 7.4 - 9.6 = -2.2

B = -2.2 + 0.5 = -1.7

C = -1.1(-1.7) = 1.87

D = 18.1 + 1.87 = 19.97

Answer:

A = -2.2

B =  -1.7

C =  1.87

D =  19.97

Step-by-step explanation:

Answer:

f(3) = -17

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Algebra I

Step-by-step explanation:

Step 1: Define

f(x) = -5x - 2

f(3) is x = 3

Step 2: Evaluate

Answer:

m∠W = (4x)° = 4 × 18 = 72°

m∠Y = (3x)° = 3 × 18 = 54°

m∠Z = (3x)° = 3 × 18 = 54°

Step-by-step explanation:

m∠W = (4x)°

m∠Y = (3x)°

m∠Z = (3x)°

i.e.,

We Know That,

The sum of a Triangle is 180°

So,

m∠W + m∠Y + m∠Z

i.e.,

(4x)° + (3x)° + (3x)° = 180°

10x° = 180°

x = 180/10

x = 18°

Now,

m∠W = (4x)° = 4 × 18 = 72°

m∠Y = (3x)° = 3 × 18 = 54°

m∠Z = (3x)° = 3 × 18 = 54°

Thus, x = 18°

(4x)° + (3x)° + (3x)° = 180°

4 × 18 + 3 × 18 + 3 × 18 = 180

72° + 54° + 54° = 180°

180° = 180°

Hence, L.H.S = R.H.S

-TheUnknownScientist

Answer:

Step 1

Step-by-step explanation:

Correct solution step-by-step:

1. 5(x + 2) = 6x + 12

2. 5x + 10 = 6x + 12

3. 5x - 6x = 12 - 10

4. -x = 2

5. x = -2

The solution to the given inequality is: I only.

An inequality can be defined as a mathematical relation that compares two (2) or more integers and variables in an equation based on any of the following arguments:

When x = -10, a solution to the inequality is given by:

-7 ≥ 2 + 5x

-7 ≥ 2 + 5(-10)

-7 ≥ 2 - 50

-7 ≥ -48 (True).

When x = 3, a solution to the inequality is given by:

-7 ≥ 2 + 5x

-7 ≥ 2 + 5(3)

-7 ≥ 2 + 15

-7 ≥ 17 (False).

When x = -1, a solution to the inequality is given by:

-7 ≥ 2 + 5x

-7 ≥ 2 + 5(-1)

-7 ≥ 2 - 5

-7 ≥ -3 (False).

Therefore, the solution to the given inequality is "I only."

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Answer: 80

Step-by-step explanation:

Triangles equal 180 therefore 50+50=100 and 180-80=80

Answer:

The answer would be 80*

Step-by-step explanation:

Because every triangle needs to add up to 180* and so if you add 50 and 50 you get 100. Minus that from 180 and you get 80

Answer:

A. y=[tex]\frac{3}{2}[/tex]x-3

B.y=[tex]\frac{-3}{4}[/tex]x-3

Step-by-step explanation:

Okay so essentially, the first thing you need to do is find the slope and y intercept for each equation. To find the slope, I like to look at the two points and divide the rise (How much it goes up or down) by the run (How much it moves left or right). For A the rise is 6 and the run is 4, so the slope is 6/4 or 3/2. To find the equation for A, you also need the y-intercept which is just the y value (how high up or down) it is when it crosses the y axis. In graph a, this is at -3. Because the equation of a line is y=mx+b (m being slope and b being y intercept), we know the equation for a is y=[tex]\frac{3}{2}[/tex]x-3. We can do the same thing for B. The rise is -3 and the run is 4, so the slope is -3/4. The y value when x is equal to zero is 2, so that is the y intercept. The equation is y=[tex]\frac{-3}{4}[/tex]x-3

Answer:

1)B

Step-by-step explanation:

Answer:

4b -11 = 1 -2(3-b) (use the distributive property on -2(3-b))

4b -11 = 1 -6 +2b ( combine like terms on the right side of the = sign)

4b -11 = -5 +2b  (subtract 2b from both sides)

2b -11 = -5 (add 11 to both sides)

2b = 6 (divide each side by 2)

b= 3 ( so, your answer is C)

Answer:

C

Step-by-step explanation:

4b-11=1-2(3-b)

4b-11=1-6+2b

4b-11=-5+2b

4b=6+2b

2b=6

b=3

Your answer is C

Answer:

Q = { (x,y) : (0,0), (1,2), (2,16), (3, 54), (4, 128), (5,250) } is cubic

R= { (x,y) : (2,3), (4,4), (6,5), (8,6) } is linear

S = { (x,y), : (1,3), (2,9), (3,17), (4,27), (5, 39), (6,53) } is quadratic

Equation of the linear relation is

y = 0.5x + 2

Step-by-step explanation:

A linear equation has the form y = mx + b where m is the slope and b is the y-intercept. Slope is a constant and growth of function is determined by x value

A quadratic equation has the general form y = ax² + bx + c where a b and c are constants. Growth of the function is mostly determined by the square of x

A cubic equation has the general form y = ax³ + bx² + cx + d where a, b and c are constants. The growth of the function is mostly determined by the cube of x value

Looking at the three relations

#1 is obviously cubic since the value of y appears to be determined by the cube of the value of x. Specifically, when x = 0, y = 0/. When x =1, y = 2 but when x =2, y =16 and 16 is 2x³ = 2(2³) = 2 x 8

Looking at x =3, 2(3³) = 2(27) = 54

So this is a cubic function

#2 is obviously a linear function When x increases by 2, y increases by 1 so it is a linear growth

#3 In this equation we can see that the y value appears to be controlled by the square of x. The specific equation is y = x² + 3x -1

For the linear equation, find the slope from the first two points

m = (4-3)/(4-2) = 1/2 = 0.5

So the equation is y = 0.5x + b

To find b, use the coordinates of any point. Let's choose (4,4)

At x = 4, y = 4 so

4 = (0.5)4 + b = 2+b yielding b = 2

So the equation is y = 0.5x + 2

Relation Q is not linear, relation R is linear with the equation y = (1/2)x + 2, and relation S is not linear.

1: Q = { (0,0), (1,2), (2,16), (3,54), (4,128), (5,250) }

To determine if this relation is linear, quadratic, or cubic,

Examine the differences between the y-values.

Calculate the differences for the given data:

Difference in y-values:

(2-0) = 2

(16-2) = 14

(54-16) = 38

(128-54) = 74

(250-128) = 122

Looking at the differences,

we can see that they are not constant.

In a linear relation, the differences between the y-values would be constant.

Therefore, we can conclude that this relation is not linear.

2: R = { (2,3), (4,4), (6,5), (8,6) }

Similar to the previous relation, let's calculate the differences:

Difference in y-values:

(4-3) = 1

(6-4) = 2

(8-6) = 2

In this case, the differences between the y-values are constant

(both are 2). This indicates a linear relation.

To find the equation, we can use the slope-intercept form (y = mx + b). Let's choose any two points from the relation, for example, (2,3) and (4,4):

Slope (m) = (4-3) / (4-2) = 1/2

m = 1/2

Now, let's plug in the values of one point (2,3) and the slope into the equation:

y = mx + b

3 = (1/2) x 2 + b

3 = 1 + b

b = 2

Therefore, the equation for this linear relation is y = (1/2)x + 2.

3: S = { (1,3), (2,9), (3,17), (4,27), (5,39), (6,53) }

Again, calculate the differences:

Difference in y-values:

(9-3) = 6

(17-9) = 8

(27-17) = 10

(39-27) = 12

(53-39) = 14

The differences between the y-values are not constant, indicating that this relation is not linear.

Hence,

Relation Q is not linear.

Relation R is linear, with the equation y = (1/2)x + 2.

Relation S is not linear.

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Answer:

3x=15 the x is 5

10+5=15

10 quarters

5 dimes

Step-by-step explanation:

In this equation, it will require 175 + 7x - 550 - 8x water to fill both tanks to the same level.

A formula that describes how two expressions on each side of a sign are connected. It typically has an equal sign and one variable. akin to this 2. 2x - 4 = 2. The variable x is present in the preceding example.

Algebraically speaking, an equation is a statement that shows the equality of two mathematical expressions. For instance, the expressions 3x + 5 and 14 make up the equation 3x + 5 = 14, with the word "equal" separating them.

The point-slope form, standard form, and slope-intercept form are the three main types of linear equations.

You start first  by the number of minutes that have passed.

Regardless of how many minutes have passed, the second had loses.

=175 + 7 liters

=550 liters loses 8 times

= 175 + 7x - 550 - 8x

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Answer: Yes

Step-by-step explanation:

Answer:

Its graph is a parabola, and many horizontal lines cut the parabola twice. The function f(x)=x 3, on the other hand, IS one-to-one. If two real numbers have the same cube, they are equal. The horizontal line test is also easy to apply.

Step-by-step explanation:

Answer:

y=3x

Step-by-step explanation:

I took the test

Answer: False

Step-by-step explanation:

If t<-3, and t>2, that means that all values less than 3, and all values greater than 2 are true.

In the inequality -3<t<2, only values between -3 and 2 are true, so this means they are not equivalent.

Step-by-step explanation:

t>-3 or t<2

THE STATEMENT ABOVE CONTRADICTS THE GIVEN STATEMENT THEREFORE IT IS FALSE

[tex]So distance from a) xy plane = |-5| = 5 b) yz plane = |4| = 4c) xz plane = |7| = 7d) x-axis = √[(7)^2+(-5)^2] = √[49+25]=√[74] = 8.6023e) y-axis =√[(-5)^2+(4)^2] = √[25+16] =√[41] = 6.4031f) z-axis = √[(4)^2+(7)^2] = √[16+49] = √[65] = 8.0622[/tex]

A Cartesian coordinate system in a plane is a system of coordinates that uniquely identifies each point by a pair of numerical coordinates that are the signed distances from two fixed perpendicular oriented lines to the point, measured in the same unit of length. An axis is a line that is used to sketch, measure, rotate, etc. a curve or a figure. The Cartesian axes in the plane or in space, which are often mutually perpendicular, are the most frequently seen axes. Axes, pronounced "ax-ees," is the plural form of "axis." The phrase is also used to describe a line that passes across a group of aircraft. The line on a graph that passes 0 horizontally (left to right).

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Answer:

[tex]8 + \frac{1}{2} x = - 12 \\ 16 + x = - 24 \\ x = - 24 - 16 \\ x - 40[/tex]

Can you mark as BREINLEST

Answer:

12

Step-by-step explanation:

Let the unknown number be x.

8 = -4(1) + x

8 = -4 + x

x - 4 = 8

x = 8 + 4

x = 12

Answer:

[tex]a_{n}[/tex] = - 4n + 12

Step-by-step explanation:

The n th term of an arithmetic sequence is

[tex]a_{n}[/tex] = a₁ + (n - 1)d

where a₁ is the first term and d the common difference

Here a₁ = 8 and d = a₂ - a₁ = 4 - 8 = - 4 , then

[tex]a_{n}[/tex] = 8 - 4(n - 1) = 8 - 4n + 4 = - 4n + 12

Answer:

b= 50

Step-by-step explanation:

the entire angle equals 80 degrees and a portion of it equals 30. therefore the portion that equals b = 50 because 30+50=80 hope this helps.

Answer:

The variables would be 9p and 4c

Step-by-step explanation:

Jose gets $9 for every Phone or 9p and $4 for every accessory or 4a

Answer:

I think 9.25

Step-by-step explanation:

Answer:

9 dollar

Step-by-step explanation:

it is now 9 dollar because the increase was 3.00

Answer: A line with a slope of 2

Step-by-step explanation: the slope of the line is -1/2 so the negative reciprcal of the slope is 2 (It would be perpendicular to it)

i used m=y2-y2/x2-x1 to figure ou the slope and -(x/y) as the negative reciprcal for the perpendicular line.

Answer:

x ≈ 16.5

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Geometry

Step-by-step explanation:

Step 1: Define

We are given a right triangle. We can use trig to find the missing side length.

Step 2: Identify Variables

POV from the angle measure

Angle = 38°

Adjacent Leg = x

Hypotenuse = 21

Step 3: Solve for x