What is the greatest common factor of x^6 and x^3?
A. X^4
B. X^3
C. X^2
D. X

Answer:

The slope of the line is [tex]\frac{1}{3}[/tex]

Step-by-step explanation:

The Slope of a Line

Suppose we know a line passes through points A(x1,y1) and B(x2,y2). The slope can be calculated with the formula:

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

It's given the points (1,3) and (-2,2). Let's calculate the slope:

[tex]\displaystyle m=\frac{2-3}{-2-1}[/tex]

Calculating:

[tex]\displaystyle m=\frac{-1}{-3}[/tex]

[tex]\displaystyle m=\frac{1}{3}[/tex]

The slope of the line is [tex]\frac{1}{3}[/tex]

C.$47

Step-by-step explanation:

6% =0.06

0.06x50= 3

50-3= $47

Answer:

yes

Step-by-step explanation:

the second number in a set of parenthesis is the y value and the number in the parenthesis is 92 which makes y=92 true

Answer:

c

Step-by-step explanation:

Answer:

33.3%

Step-by-step explanation:

Step one:

given data

Initial population (1980)= 12000

Final population(1990)= 16000

change in population= 16000-12000= 4000

Step two:

% increase= change in population/initail population *100

%increase= 4000/12000*100

%increase= 0.333*100

% increase= 33.3%

Answer: (A) 22.5 mins

Step-by-step explanation:

Given data:

Duration of the match = 90mins.

Number of substitutes = 4.

Solution:

Since Each of the four (4) substitute players alternated equally, simply means each of the 4 players spent an equal amount of time on the football pitch.

= 90mins/4

= 22.5mins.

Each player spent 22.5minutes on the football pitch.

The division of total time distribute the same time for each substitutes player.

The duration for which each substitute player plays the game of football is 22.5 minutes.

Division of total time by the units of division provides the equal time for each unit.

Given information-

A game of football with 11 players lasts for exactly 90 minutes.

Total number of substitutes is 4.

All the players plays for the same length of time.

As there is total number of substitute players are 4 and the total time duration is 4.

Thus for each player to play same length of time, the time should be divided by the number of players. Therefore,

[tex]t=\dfrac{90}{4} \\t=22.5[/tex]

Hence the duration for which each substitute player plays the game of football is 22.5 minutes.

Learn more about the division of time here;

https://brainly.com/question/668114

Step-by-step explanation:

hope this will help you......

Answer:

Solution in image

Step-by-step explanation:

Answer:

The answer would be B.

Step-by-step explanation:

Answer: C

Step-by-step explanation: Since we know both the slope and the y-intercept we can plug them into Slope-Intercept form. Slope-Intercept form is y=mx+b

Since m = 2 and b = -3/4 all we have to do is replace both m and b in the form and that would be the answer. y = 2x-3/4

Answer:

[tex]a d = bc[/tex]

[tex]da = cb[/tex]

[tex]bc = ad[/tex]

Step-by-step explanation:

Given

[tex]\frac{a}{b} = \frac{c}{d}[/tex]

Required

Choose equivalent expressions

First, cross multiply

[tex]a * d = b * c[/tex]

[tex]a d = bc[/tex]

The product: [tex]a * d = b * c[/tex] can also be rewritten as:

[tex]da = cb[/tex]

Apply symmetric property of inequality

[tex]a d = bc[/tex] becomes [tex]bc = ad[/tex]

and

[tex]da = cb[/tex] becomes [tex]cb = da[/tex]

Answer:

Yes

Using SAS congruent property

Step-by-step explanation:

Answer:

C. -5/2

Step-by-step explanation:

To find the slope you can use the slope formula:

[tex]slope = \frac{y2 - y1}{x2 - x1}[/tex]

We can pick 2 points from the table, I am going to use (3,5) and (1,10).

Plug these into the equation:

[tex]slope = \frac{10-5}{1-3} =- \frac{5}{2}[/tex]

Therefore, the answer to the question is C. -5/2.

I hope this helps!!

- Kay :)

Answer:

56

8 pictures * 7 days = 56 pictures

Step-by-step explanation:

That's pretty cool you know.

Answer:

thats cool. hope he getting paid good

Step-by-step explanation:

Answer:

Step-by-step explanation:

25

Answer:

1100

Step-by-step explanation:

price = 1500

discount= 15%

15% of 1500 = (15/100)*1500= 15*15= 225

so selling price = 1275

profit is selling price - cost price

1275 - CP = 175

CP = 1275-175= 1100

I didn't understand the calculator part of the question

Answer:

y=1/2x+1

Step-by-step explanation:

Answer:

(2, - 3.5)

Step-by-step explanation:

K(3, - 3)

L(2, 1)

[tex]m_{KL}[/tex] = [tex]\frac{-3-1}{3-2}[/tex] = - 4

Slope of perpendicular line is [tex]\frac{1}{4}[/tex]

y - 1 = - 4(x - 2) ⇔ y = - 4x + 9

Equation of the perpendicular to KL from point M(4, - 3) is

y - (- 3) = [tex]\frac{1}{4}[/tex] (x - 4) ⇔ y = [tex]\frac{1}{4}[/tex] x - 4 ....... (1)

L(2, 1)

M(4, - 3)

[tex]m_{LM}[/tex] = [tex]\frac{-3-1}{4-2}[/tex] = - 2

Slope of perpendicular line is [tex]\frac{1}{2}[/tex]  

y - 1 = - 2(x - 2) ⇔ y = - 2x + 5

Equation of the perpendicular to LM from point K(3, - 3) is

y + 3 = [tex]\frac{1}{2}[/tex] (x - 3) ⇔ y = [tex]\frac{1}{2}[/tex] x - 4.5 ....... (2)

The coordinates of the intersect of lines (1) and (2)

[tex]\frac{1}{2}[/tex] x - 4.5 = [tex]\frac{1}{4}[/tex] x - 4 ⇒ [tex]\frac{1}{4}[/tex] x = 0.5 ⇒ x = 2

y = [tex]\frac{1}{2}[/tex] (2) - 4.5 ⇒ y = - 3.5

(2, - 3.5)

Answer:

Step-by-step explanation:

SoukaSoukaSoukaSoukaSoukaSoukaSoukaSoukaSoukaSouka

Answer:

The same letter lol

Step-by-step explanation:

In algebra, like terms are terms that have the same variables and powers. The coefficients do not need to match. Unlike terms are two or more terms that are not like terms, i.e. they do not have the same variables or powers. The order of the variables does not matter unless there is a power.

Answer:

Shifting down.

Vertically compressed

Step-by-step explanation:

Given

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

[tex]g(x) = \frac{1}{3}(2^x - 7)[/tex]

Required

Determine the translation from f(x) to g(x)

The first translation from f(x) towards g(x) is:

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

[tex]f'(x) = 2^x - 7[/tex]

This is derived by:

[tex]f'(x) = f(x) - b[/tex]

Where

[tex]b = 7[/tex]

Notice that, in the above, b (i.e. 7) was subtracted from f(x), this implies that the function shifted down

The next translation that resulted in g(x) is:

[tex]g(x) = \frac{1}{3}(2^x - 7)[/tex]

This is derived by:

[tex]g(x) = a.f'(x)[/tex]

By comparison:

[tex]a = \frac{1}{3}[/tex]

Since the value of a is less than 1, then f'(x) is vertically compressed to give g(x).

Hence, the transformations that apply from f(x) to g(x) are:

Answer:

shifting down

vertically compressed

Step-by-step explanation:

Answer:

Step-by-step explanation:

Given equation:

Common denominator is x² + x - 2, consider x ≠ 1 and x≠ -2

Multiply both sides by x² + x - 2:

There is one solution but it is not true one.

Option C is correct

Answer:

[tex] \frac{x}{x - 1} + \frac{2}{x + 2} = \frac{ - 6}{ {x}^{2} + x - 2 } \\ \frac{x(x + 2) + 2(x - 1)}{(x - 1)(x + 2)} = \frac{ - 6}{ {x}^{2} + x - 2} \\ \frac{ {x}^{2} + 2x + 2x - 2 }{ {x}^{2} + 2x - x - 2} = \frac{ - 6}{ {x}^{2} + x - 2} \\ \frac{ {x}^{2} + 4x - 2 }{ {x}^{2} + x - 2} = \frac{ - 6}{ {x}^{2} + x - 2 } \\ {x}^{2} + 4x - 2 = - 6 \\ {x}^{2} + 4x + 4 = 0 \\ {x}^{2} + 2 \times 2 \times x + {2}^{2} = 0 \\ {(x + 2)}^{2} = 0 \\ x + 2 = 0 \\ \boxed{x = - 2 }[/tex]

C. the equation has one extraneous solution.

Answer:

d

Step-by-step explanation:

Answer:

67

Step-by-step explanation:

Aops Question

The value if you subtract the numerator from the denominator will be -67.

Expression in maths is defined as the collection of the numbers variables and functions by using signs like addition, subtraction, multiplication, and division.

Numbers (constants), variables, operations, functions, brackets, punctuation, and grouping can all be represented by mathematical symbols, which can also be used to indicate the logical syntax's order of operations and other features.

Given that expressing the reciprocal of $1.67$ as a simplified fraction. The number when you subtract the numerator from the denominator will be calculated as below:-

Fraction form of the number 1.67 = 167 / 100.

The subtraction of numerator from denominator = 10  - 167 = -67

Therefore, the value of subtraction of the numerator from the denominator will be -67.

To know more about Expression follow

brainly.com/question/723406

#SPJ2

Answer:

17

Step-by-step explanation:

First, we notice that the triangle is isosceles . (In case you didn't know, the two tick marks on the sides of the triangle signify that they are congruent and have the same length.) Since the triangle is isosceles, we can apply the Base Angles Theorem.

The Base Angle Theorem states that the two angles opposite of the two congruent sides are also congruent. In this case, we can say that, because the angle measuring 29° and the third(top) angle are opposite to the two congruent sides, those two angles are congruent. Therefore, the third angle measures 29° as well.

Now that we know this, we can write the following equation:

29°+29°+(11x-65)° = 180.

Solving this equation, we have x = 17.

Hope this helps!

Answer:

4.  last one

5. last one

Step-by-step explanation:

Answer:

a

Step-by-step explanation:

when you take away the numbers and then divide it by what you have left and then add that will give you your awnser

Answer:

y = 4x

Step-by-step explanation:

To start, we need to find the slope:

m = y₁ - y₂ / x₁ - x₂

Substitute the numbers and solve for the slope:

m = -4 - (-8) / -1 - (-2)

m = -4 + 8 / -1 + 2

m = 4 / 1

m = 4

Now we know that the slope is 4.

Next, we need to use point-slope form:

y - y₁ = m(x - x₁)

Once more, substitute the numbers:

y - (-4) = 4(x - (-1))

y + 4 = 4(x + 1)

y + 4 = 4x + 4

y = 4x

Therefore, the equation of the line is y = 4x.