Let f(x) = - 3x + 5 and simplify f(x + 2).

Answer:

122

Step-by-step explanation:

125-3

The 41st term of the sequence is 122.

It is a sequence where the difference between each consecutive term is the same.

We have,

The given sequence has a common difference of 3, which means that each term is obtained by adding 3 to the previous term.

To find the 41st term of the sequence, we can use the formula for the nth term of an arithmetic sequence:

a(n) = a(1) + (n - 1) d

where

a(n) is the nth term of the sequence

a(1) is the first term of the sequence

d is the common difference

n is the number of the term we want to find

Substituting the given values, we get:

a(41) = 2 + (41 - 1) x 3

a(41) = 2 + 40 x 3

a(41) = 2 + 120

a(41) = 122

Therefore,

The 41st term of the sequence is 122.

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Answer:

According to the question, both these fractions are equivalent, so,

3*4/8*4 = m/32 (Equivalent fractions)

=> 12/32 = m/32

=> 12 = m (By multiplying both sides with 32)

Therefore m/32 = 12/32

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Answer:

y = -2x + 9

General Formulas and Concepts:

Order of Operations: BPEMDAS

Slope-Intercept Form: y = mx + b

m - slope

b - y-intercept

Step-by-step explanation:

Step 1: Define variables

Gradient (Slope m) = -2

Random point (1, 7)

Step 2: Find y-intercept b

Step 3: Write linear equation

Substitute our newly found b in.

y = -2x + 9

Answer:

9

Step-by-step explanation

2+5+10+11+17=45/5=9

Answer: 96 ft ^2

Step-by-step explanation:

8.0 • 12.0 = 96 ft

double it ^2

B. bc first u do12.0*8.0 which equals 96 and then times by 2 to get ur answer hope this helpss

Answer: yes

4*2/3=8*1/3

8/3=8/3

Answer:

The answer is C

Step-by-step explanation:

Open questioning method can result in more complete information

C. The open questioning method can result in more complete information.

A job interview is a process in which an employee is evaluated by an employer to assess whether the applicant should be hired.

In a structured interview applicant is asked the predetermined list of questions in a specified order. structured interviews are more accurate predictors of which applicants will make suitable employees.

So the advantage of a focused interview is the open questioning method can result in more complete information.

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Answer:

2

Step-by-step explanation:

Hi!

Your answer would be: D) Exactly 45

Reason being: $18,000 divided by $400 equals 45 lawn mowers.

Therefore, the answer is D, exactly 45.

Hope this helps!

Answer:

At most 45

Step-by-step explanation:

Answer:

$5,300*0.13 = $689*52 = $35,828

Step-by-step explanation:

Answer:

11+8-13

19-13

6

6 feet below sea level

Step-by-step explanation:

Answer:

Step-by-step explanation:

11+8-13

19-13

6

Answer:

a. When x = -1, the value of y = 3

b. When y = 7, the value of x = 1

c. The y-intercept is (0, 5)

d. The x-intercept is (-2.5, 0)

e. The slope of the line is 2

f. The equation of the line is y = 2x + 5

Step-by-step explanation:

The form of the linear equation is y = m x + b, where

The x-intercept is the value of x at y = 0

From the given graph:

a.

∵ x = -1

→ Look at the graph and find the y-coordinate of the point on

   the line whoes x-coordinate = -1

∴ y = 3

∴ When x = -1, the value of y = 3

b.

∵ y = 7

→ Look at the graph and find the x-coordinate of the point on

   the line whose y-coordinate = 7

∴ x = 1

∴ When y = 7, the value of x = 1

c.

∵ The y-intercept of the graph is the point of intersection of

   the graph and the y-axis

→ Look at the graph and find the y-coordinate of the point on

   the line whose x-coordinate = 0

∴ y = 5

∴ The y-intercept is (0, 5)

d.

∵ The x-intercept of the graph is the point of intersection of

   the graph and the x-axis

→ Look at the graph and find the x-coordinate of the point on

   the line whose y-coordinate = 0

∴ x = -2.5

∴ The x-intercept is (-2.5, 0)

e.

∵ The slope of the line m = Δy/Δx

→ Use the intercepts to find it

∵ The intercepts are (-2.5, 0) and (0, 5)

∴ Δx = 0 - (-2.5) = 2.5

∴ Δy = 5 - 0 = 5

∴ m = 5/2.5 = 2

∴ The slope of the line is 2

f.

∵ The form of the equation of the line is y = m x + b

∵ m = 2

∵ b = 5

∴ y = 2x + 5

∴ The equation of the line is y = 2x + 5

The equation of the line is y = 2.27x + 5.

We are given that;

The graph of the line

Now,

a. When x = -1

y= 3

b. When y = 7

x= 1

c. The y-intercept of the graph= 7

d. The x-intercept of the graph= 3.5

The slope of the line can be calculated using the formula:

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

where (x1, y1) = (0,5) and (x2, y2) = (-2.2,0).

Substituting the values in the formula we get:

slope = (0 - 5) / (-2.2 - 0) = 5 / 2.2 ≈ 2.27

The equation of the line can be found using the slope-intercept form of a line which is given by:

y = mx + b

where m is the slope and b is the y-intercept.

We already know that m ≈ 2.27.

To find b we can use either of the two points. Let (0,5):

y = mx + b 5 = 2.27(0) + b b = 5

Therefore, by the equation answer will be y = 2.27x + 5.

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Answer:

4x=5

Step-by-step explanation:

We need to write the equation for the statement "Four times the length of a segment x is 5 ft".

Four times of x can be written mathematically as : 4x .

It is equal to 5 ft.

The equation should be :

4x=5

Hence, the above is the equation for the given statement.

Answer:

Its [tex]x^{-\frac{2}{9} }[/tex] or [tex]\frac{1}{x^{\frac{2}{9} } }[/tex]      (Hope this Helpful)

Step-by-step explanation:

[tex]x^{\frac{2}{9} } *x^{-\frac{4}{9} } =x^{\frac{2}{9}-\frac{4}{9 }} =x^{-\frac{2}{9} } =\frac{1}{x^{\frac{2}{9} } }[/tex]

Answer:

Its $30per hour

Step-by-step explanation:

120÷4=30

Answer:

3.63 i think

Step-by-step explanation:

Answer:

3.6

Step-by-step explanation:

Answer: False  

4x(0) (4WD)

A 4x(0)  vehicle that has four-wheel drive (4WD). "4x(0) " in a 4WD vehicle means there are 4 wheels total and x wheels that are driven. Utility quads are typically 4x(0) .

4 x 2 (2WD)

A 4x2 or 2WD is a vehicle that has a two-wheel drive (2WD) with four wheels. "4x2" in a 2WD vehicle means there are 4 wheels total and 2 wheels that are driven. The driven wheels can be either back or front wheels but are usually the back wheels. Sport ATVs are typically 4x2.

Answer:

A) 130

Step-by-step explanation:

(2x + 18) + y = 180 <--- Is True

(4x - 14) + y = 180 <--- Is True

(2x + 18) + y = y + (4x - 14)  

(2x + 18) = (4x - 14)

2x + 18 = 4x - 14

-2x + 18 = -14

   - 18    - 18

-2x = -32  

x = 16

2(16) + 18 = 50

4(16) - 14 = 50

180 - 50 = 130

Answer:

the answer would be 0.372

Answer:

its A hope this helps

Step-by-step explanation:

Answer:

200

Step-by-step explanation:

Answer:

Perpendicular bisectors.

Step-by-step explanation:

This is called a circumscribed circle.

First you construct the perpendicular bisector of one side, then repeat with a second side. Where these lines cross is the center of the circle.

Answer:

70

Step-by-step explanation:

The answer is 70 because complementary angles mean that two angles add up to 90. So if you do 90 - 20, you get 70.

Hope this helps and have a great day :)

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Answer: 1,3,4

Step-by-step explanation: :)) np

Answer:

4 1/2 <h

Step-by-step explanation:

Answer:

125x - 33x⁴

Pull out like factors :

125x - 27x⁴ = -x • (27x3 - 125)

Factoring: 27x³- 125

Theory : A difference of two perfect cubes, a³ - b³ can be factored into

(a-b) • (a² +ab +b²)

(a-b)•(a²+ab+b²) =

a³+a²b+ab²-ba²-b²a-b³ =

a³+(a2b-ba²)+(ab²-b²a)-b³ =

a³+0+0+b³ =

a³+b³

Check : 27 is the cube of 3

Check : 125 is the cube of 5

Check : x³ is the cube of x¹

Factorization is :

(3x - 5) • (9x² + 15x + 25)

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