Write the expression in complete factored
form.
5n_(c - 3) - n(C - 3) =

Answer:

B

Step-by-step explanation:

The difference between each term is six and the numbers are increasing so the only one that is in the correct format, which is an = a1 + (n-1)d, is B

please give Brainliest

The explicit formula for the sequence -9,-3,3,9,15​ is [tex]a_n[/tex] =-9+(n-1)6.

The correct option is (C).

The explicit formula for an arithmetic sequence is an = a + (n - 1)d, and any term of the sequence can be computed, without knowing the other terms of the sequence.

Given sequence:  -9,-3,3,9,15​

As, the given sequence is arithmetic sequence.

So, the difference between two consecutive term is same.

i.e., (-3)-(-9)= -6, 3-(-3)= 6, and so on.

Now, the nth term is = a+(n-1)d

as, a=-9

So, [tex]a_n[/tex]= -9+(n-1)6

          = -9+6n-6

          = 6n-15

Hence, [tex]a_n[/tex] =-9+(n-1)6.

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Answer:

The answer is x = 7

Step-by-step explanation:

3(x+2) - x + 8

Open the bracket

3(x + 2) distribute

3x + 6

3x + 6 - x + 8

combine the like terms

3x - x + 8 + 6

2x + 14

Please mark me as brainliest

First you must distribute the 3 to the numbers inside the parentheses, which would be x and 2...

(3 * x) + (3 * 2) - x + 8

3x + 6 - x + 8

Now you must combine like terms. This means that first numbers with no variables go together. Then the numbers with the same variables must be combined...

no variable combination:

3x + 6 -x + 8

6 + 8 = 14

3x - x + 14

same variable combination:

3x - x + 14

3x - x = 2x

2x + 14

Hope this helped!

~Just a girl in love with Shawn Mendes

Answer:

f(x) = 6x + 9

Step-by-step explanation:

Given

y - 6x - 9 = 0

Express the equation with y as the subject

Add 6x + 9 to both sides

y = 6x + 9

To express in functional notation let y = f(x), hence

f(x) = 6x + 9

Answer:

A. [tex]f(x)=6x+9[/tex]

Step-by-step explanation:

We have been given an equation [tex]y-6x-9=0[/tex]. We are asked to write our given equation in function notation with x as the independent variable.

First of all, we will convert our given equation in slope-intercept form by separating y on one side of equation.

[tex]y-6x-9=0[/tex]

[tex]y-6x+6x-9=0+6x[/tex]

[tex]y-9=6x[/tex]

[tex]y-9+9=6x+9[/tex]

[tex]y=6x+9[/tex]

Now, we will replace [tex]y[/tex] with [tex]f(x)[/tex].

[tex]f(x)=6x+9[/tex]

Therefore, our required function would be [tex]f(x)=6x+9[/tex] and option A is the correct choice.

Answer:

Statements 2, 3 and 4 are true.

Step-by-step explanation:

2.   < 1 and < 4 are alternate interior angles.

3.   < 3 and < 6  are vertical angles.

4.  There are 2 sets of alternate angles so the triangles are similar (< 1 and <4, and <2 and <5).

Line d is parallel to line c in the figure. The Statements 2, 3 and 4 are true.

Each of the pairs of opposite angles made by two intersecting lines is called a vertical angle.

Line d is parallel to line c in the figure.

The statements which are true are;

2. Angle 1 and Angle  4 are alternate interior angles.

3. Angle  3 and Angle 6 are vertical angles.

4.  There are 2 sets of alternate angles so the triangles are similar.

(Angle 1 and Angle 4, and Angle 2 and Angle 5).

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Answer:

51,013.84 kilometers

Step-by-step explanation:

1 kilometer= .6214

So you have to divide 31,700 by .6214

You get 51,013.839 or round it to 51,013.84

Answer:

51,013.839

Step-by-step explanation: you have to convert to kilometers

Answer:

4/5 divided by 8 = 4/(5*8) = 1/10

1: 8/10 divided by 8 = 8/(10*8) = 1/10

2: 8/5 divided by 4 = 8/(5*4) = 4/10

3: 5/4 multiplied by 8 = (5*8)/4 = 100/10

4: 4/5 multiplied by 8 = (4*8)/5 = 64/10

So the answer is 1.

Step-by-step explanation:

To find the expression equivalent to 4/5 divided by 8, you should perform the calculations. Only the expression 8/10 divided by 8 equates to the same value as the original expression.

Firstly, let's calculate your original expression 4/5 divided by 8. Given expression turns into 4/5 * 1/8 = 4/40 = 1/10. Now, let's examine the proposed equivalent expressions:

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Answer:

all real numbers greater than or equal to -1

Step-by-step explanation:

i j took the test trust me

The range of the function  f(x) = (x − 4)(x − 2)  is  all real numbers greater than or equal to −1 .

The set of all output values of a function. Example: when the function f(x) = x2 is given the values x = {1,2,3,...} then the range is {1,4,9,...}

According to the question

The function f(x) = (x − 4)(x − 2)  

now, we multiply both braces

f(x) = x² - 6x + 8

Now we will plot the graph to  check for lowest point

x                   f(x)

0                    8

-1                    15

1                      3

2                     0

-2                   24

As per graph at x = 3 f(x) is minimum = -1

Therefore ,

Range = [-1,∞)

Hence, the range of the function  f(x) = (x − 4)(x − 2)  is  all real numbers greater than or equal to −1 .

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Answer:  110°

Step-by-step explanation:

∠A ≅ ∠B  

since ∠A = 35° (given), then ∠B = 35°

Use the Triangle Sum Theorem to find ∠C:

∠A + ∠B + ∠Q = 180°

35° + 35° + ∠Q = 180°

     70°    + ∠Q = 180°

                 ∠Q = 110°

The central angle (∠AQB) ≅ arc AB

since ∠AQB = 110° (solved above), then arc AB = 110°

Well, it is 3 polynomials so let’s break it down first.

(-3x*2 -2xy +y*2) (-4x*2 -xy + 6y*2)

Let’s add these first. The rule is to drop parentheses and add regularly. Bases stay the same, powers add and coefficients multiply.

Ans: (-7x*4 -3x*2 y*2 + 7y*4)

Now let’s add it with the last one.

The answer is: -6x*6 +3x*3 y*3 -6y*6

The polynomial obtained after adding the following polynomial is 3x +3xy +4y²-3x².

A polynomial  can be defined as  a mathematical expressions made up of indeterminate and coefficients and involving only addition, subtraction, multiplication, and non-negative integer exponentiation of variables.

It is given in the question to add the polynomials

- 3x - 2xy + y²

- 4x² - xy +6y²

x²+ 6xy- y²

Adding the coefficients of like variables having same coefficients.

3x - 2xy + y² + (- 4x² - xy +6y²) + ( x²+ 6xy- y² )

3x -2xy+y² -4x² - xy +6y² + x²+ 6xy- y²

3x +3xy +4y²-3x²

The polynomial obtained after adding the following polynomial is 3x +3xy +4y²-3x².

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Answer:

$1575

Step-by-step explanation:

If I bet $25 (And I win, of course!), I will win:

If I win $63 per every $1 bet, then:

63/1 = x/25 ⇒ Solving for 'x':

63*25 = $1575

Finally, if you bet $25 you will win $1575!

[tex]\textbf{Answer:}[/tex]

[tex]3[/tex]

[tex]\textbf{Step-by-step explanation:}[/tex]

[tex]\textrm{The x int. can be determined when y is equal to zero.}[/tex]

[tex]x - 0=3\\ x = 3[/tex]

Answer:

3

Step-by-step explanation:

x-y =3

To find the x intercept, set y=0

x-0 =3

x=3

Answer:

(4,0) & (-9,0)

Step-by-step explanation:

Answer:

The answer is: 3x·3x^2+3x·4+2·3x^2+2·4 APEX

Step-by-step explanation:

Answer:

6x + 3x^2 +4

Step-by-step explanation:

Your wanting like terms/linear equations? If so then:

(3x+2) (3x^2 + 4) =

3x + 3x^2 + 3x + 4, Like terms

6x + 3x^2 +4 is your answer.

Hope my answer has helped you!

[tex]\sqrt[3]{b^{12}}=\sqrt[3]{(b^4)^3}=b^4[/tex]

Answer:

140 square inches

Step-by-step explanation:

An 8 inch by 6 inch rectangle would have a lateral area of 140 square inches.

A rectangle is the shape with parallel opposite sides, combined with the all 90 degree angles. As the type of parallelogram, it has opposite parallel sides. In the rectangle, 1 set of parallel sides is longer than the other, making it look like the elongated square.

Given that,

dimensions of the base is  8 inch by 6 inch and height is 5 inch. That means,

L=8,w=6,h=5

8+8+6+6=28,

then you multiply it by the height so it would be 28x5=140

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Answer:

The y-coordinate of the solution to the system shown is 9

Step-by-step explanation:

[tex]y=\frac{1}{4}x+7\\y=\frac{1}{2}x+5[/tex]

We need to solve these system of equations and find value of y

Let eq (1) be[tex]y=\frac{1}{4}x+7[/tex]

and eq(2) be [tex]y=\frac{1}{2}x+5[/tex]

Putting value of y from eq(2) into eq(1)

[tex]y=\frac{1}{2}x+5=\frac{1}{4}x+7\\\\\frac{1}{2}x-\frac{1}{4}x=7-5\\\frac{2x-x}{4}=2\\\frac{x}{4}=2\\x=2*4\\x=8[/tex]

Putting value of x=8 in equation 1 to find value of y

[tex]y = \frac{1}{4}x+7[/tex]

[tex]y = \frac{1}{4}(8)+7[/tex]

[tex]y =2+7[/tex]

[tex]y =9[/tex]

So, The y-coordinate of the solution to the system shown is 9

Answer:

The values are 9 and 8

Step-by-step explanation:

Let the first number be x

Let the second number be y

The sum of x and y is x+y=17

The difference of x and y  is x-y=1

x+y=17  (this is equation 1)

x-y=1     (this is equation 2)

Now we will add equation 1 and equation 2.

x+y = 17

x-y = 1

______

2x   =18

x= 18/2

x= 9

Now put the value of x in equation 1.

x+y = 17

9+y = 17

y = 17-9

y = 8

Solution Set ={(x,y)(9,8)}

Step-by-step explanation:

8^x= 64

8²= 64

In logarithmic form,

log(base 8) 64= 2

The equation 8ˣ=64 in logarithmic form is written as log8(64) = x, where x is the exponent to which the base 8 is raised to obtain 64.

The equation 8ˣ=64 in logarithmic form, you have to understand the relationship between exponentials and logarithms. The logarithmic form of the equation is logb(a) = c, which means b to the power of c equals a. Given that 8 squared (8²) equals 64, you can express 8^x=64 as log8(64) = x, which is the logarithmic form of the given exponential equation.

Answer:

[f(-5)-f(-3)]/[-2]

Step-by-step explanation:

I don't know your quadratic but all you need to do evaluate

[f(-5)-f(-3)] divided by [-5-(-3)]

simplifying the denominator:

[f(-5)-f(-3)] divided by -2

So you need to find f(-5), this means replace x with -5

f(-3) means to replace x with -3

After you find those two answers subtract what you got for the pluggin in of -3 from the pluggin in of -5

After that subtraction divide by -2

Answer:

There's no solution to this system equation because they are parallel to each other. The solution of system equation is where they intersection with each other.

Step-by-step explanation:

Answer:

The correct option is 1.

Step-by-step explanation:

The general cosine function is

[tex]y=A\cos (Bx+C)+D[/tex]

where, A is amplitude, [tex]\frac{2\pi}{B}[/tex] is period, C is phase shift and D is midline.

It is given that the Chesapeake Bay tides vary between 4 feet and 6 feet. it means the minimum value is 4 and maximum value is 6.

Amplitude of the function is

[tex]Amplitude=\frac{Maximum-Minimum}{2}[/tex]

[tex]Amplitude=\frac{6-4}{2}[/tex]

[tex]Amplitude=1[/tex]

Therefore the amplitude of the function is y=5.

Midline of the function is

[tex]Mid line=\frac{Maximum+Minimum}{2}[/tex]

[tex]Mid line=\frac{6+4}{2}=5[/tex]

Therefore the midline of the function is y=5.

It completes a full cycle in 12 hours.

[tex]Period=12[/tex] hours

[tex]\frac{2\pi}{B}=12[/tex]

Period of the function is 12 hours. Therefore the correct option is 1.

Answer:

A.  Amplitude = 1 foot; period = 12 hours; midline: y = 5

Answer:

The ordered pair for the system of equations is (x,y) i.e (4,7)

Step-by-step explanation:

Ordered pair is the represented as (x,y) i.e value of x and value of y.

We are given system of equations:

2x+4y=36      eq(1)

6x+2y=38     eq(2)

and after solving above equations value of x is found to be 4.

We need to find the value of y.

We can find value of y by putting value of x in eq(1)

2x+4y=36

2(4)+4y =36

8+4y = 36

4y = 36-8

4y = 28

y = 7

So, value of y is 7

The ordered pair for the system of equations is (x,y) i.e (4,7)

Answer:

The ordered pair is: (4, 7)

Step-by-step explanation:

We have the following system of equations

[tex]2x+4y=36[/tex]

[tex]6x+2y=38[/tex]

To find the ordered pair that represents the solution to the system of equations we need the value of x and the value of y.

We already know that x = 4.

Then we substitute the value of x in any of the two system equations and solve for the variable y.

[tex]2(4)+4y=36\\\\8 + 4y=36\\\\4y=36-8\\\\4y=28\\\\y=\frac{28}{4}\\\\y=7[/tex]

The ordered pair is: (4, 7)

Answer: D: 2 units

Step-by-step explanation:

You may have mistaken the formula, as it's 2(l + w), not 1.

If we use this formula, we can say:

2([tex]\frac{2}{3} + \frac{1}{3}[/tex]) = 2(1) = 2

Therefore, the answer is 2 units.

Hope this helps! :^)

Answer:

In order to evaluate the given expression 17(144) using the distributive property, Julia would rewrite the expression in friendlier numbers that is:

(10+7)(100+40+4)

Step-by-step explanation:

We are given an expression 17(144) that we have to evaluate let us say without using the calculator.

Sometimes, it is easier to solve a complex problem in multiple steps as the problem gets distributed and the difficulty level lowers for multiple smaller sets.

Julia would rewrite the expression as:

(10+7)(100+40+4)

Then solve it using distribution method as follows:

10(100+40+4)+7(100+40+4)

1000+400+40+700+280+28

= 2448

The answer to this question is C. 17(100)+17(40)+17(4)

The way i got this answer was that i actually have done this question on a test and Was able to get it for you.

Answer:

596.8 ft^2

Step-by-step explanation:

Answer:

596.8 feet^2

Step-by-step explanation:

The m < C  = 180 - 2*38.5 = 103 degrees ( because the triangle is isosceles).

Use the formula:  Area of a triangle = 1/2 ab sinC:

Area = 1/2 * 35 * 35 * sin 103

= 596.8 feet^2.

Answer: Participation bias

Step-by-step explanation: He chose to only use his own church instead of using a number of different denominations.

Answer:

184 ft

Step-by-step explanation:

explanation in the photo

SA = (0.5 x 2 x 6 x 4) + (2 x 10 x 5) + (6 x 10)

SA = 24 + 100 + 60

SA = 184

The answer is 184 ft².

Answer:

it's A (-2.3,0.5)

Step-by-step explanation:

doing it

The approximate solution for the system of equations are (- 2.3, 0.5).

We have to given that,

The system of equations are,

8x - 10y = -23

And 9x + 10y = -16

Now, Solve the equation by substitution method as,

8x - 10y = -23  .. (i)

9x + 10y = -16  .. (ii)

From (ii);

10y = - 16 - 9x

Substitute above value in (i);

8x - (- 16 - 9x) = - 23

8x + 16 + 9x = - 23

17x + 16 = - 23

17x = - 23 - 16

17x = - 39

x = - 39/17

x = - 2.3

From (i);

8 × - 2.3 - 10y = - 23

- 18.4 - 10y = - 23

- 18.4 + 23 = 10y

4.6 = 10y

y = 4.6/10

y = 0.46

y = 0.5

Therefore, Solution is, (- 2.3, 0.5)

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Answer:

In words the answer is between t=0 and t=2.

In interval notation the answer is (0,2)

In inequality notation the answer is 0<t<2

Big note: You should make sure the function I use what you meant.

Step-by-step explanation:

I hope the function is h(t)=-16t^2+32t because that is how I'm going to interpret it.

So if we can find when the ball is on the ground or has hit the ground (this is when h=0) then we can find when it is in the air which is between those 2 numbers.

0=-16t^2+32t

0=-16t(t-2)

So at t=0 and t=2

So the ball is in the air between t=0 and t=2

Interval notation (0,2)

Inequality notation 0<t<2

According to the question:

0 = -16t^2+32t.

0 = -16t(t-2).

So, at t=0 and t=2.

Thus, between t=0 and t=2, the ball is in the air.

Periodic notation (0,2).

Inequality notation 0<t<2.

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