if a= 2x-3 and b= 2x+5
determine the product of a and b by using formulae. if x=2, ab= what?
help pleasee would appreciate a lot

Answers

Answer 1

Answer:

a= 2x-3 b= 2x+5

ab= (2x-3)(2x+5)

= 2x*2x+ 2x*5- 3*2x- 3*5

= 4x+ 10x- 6x- 15

= 14x- 6x- 15

= 8x -15

x= 2

= 8(2)- 15

= 16-15

= 1


Related Questions

help me pls I need to get my grade up before July 11th so help ASAP​

Answers

Second option:
-7x^2+4x+2

This table displays the market share in percent of four companies.

Which of the following ranges would be appropriate to use in order to represent the numerical data on the vertical axis of a Bar Chart?

A. 0 to 40
B. 10 to 20
C. 0 to 20
D. 20 to 40

Answers

The right method to use in order to represent the numerical data on the vertical axis of a Bar Chart is  0 to 40.

How do you set the vertical axis of a Bar Chart?

In setting the  vertical axis of a Bar Chart, note that it is vital for the categories to be natural as possible.

That is, the vertical axis should always begin with the number zero (0) and the scale values for the x axis must range from the lowest value on the left hand side to highest on the right hand side.

Therefore, due to the explanation given, the right method to use in order to represent the numerical data on the vertical axis of a Bar Chart is  0 to 40 as it range from 0 to the highest value.

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Answer:

A

Step-by-step explanation:

i think i can be wrong

6)( b)write down the ratio of white chocolates to milk chocolates 3/8

Answers

Answer:

white chocolates = 3

milk chocolates = 8

ratio= 3:8

[tex] \frac{3}{8} [/tex]

0.375

The cylinder in a sphere have the same radius for the height of the cylinder is equal to the diameter of the spear select the expression that describes the volume of the cylinder that is not occupied by the sphere

Answers

The volume of the cylinder that is not occupied by the sphere is 2πr³/3

Since the object is a sphere in a cylinder, we need to know the volume of sphere and cylinder.

What is volume of a cylinder?

The volume of a cylinder is given by V '= πr²h where

r = radius of cylinder and h = height of cylinder.

Since the height of the cylinder equals the diameter of the sphere, h = 2r

So, V' = πr²h

V' = πr² × 2r

V' = 2πr³

What is volume of sphere?

The volume of a sphere of radius r is given by V = 4πr³/3

Volume of cylinder not occupied by sphere

The volume of the cylinder not occupied by the sphere is V" = V' - V

=  2πr³ - 4πr³/3

= (6πr³ - 4πr³)/3

= 2πr³/3

So, the volume of the cylinder that is not occupied by the sphere is 2πr³/3

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Latoya created a factor tree and wrote the prime factorization of 90 shown below.

Answers

Answer:

it’s b

Step-by-step explanation:

the answer is 2x3x3x5, but it’s the same thing when you put an exponent of two on a 3.

Hope it helps

Sry if I’m wrong

She should have included an exponent of 2 on the 3

Kevin evaluated the expression below. 75 - 6 (8 - 6) + 3 Step 1: 75 - 6 x 2 + 3 Step 2: 75 - 6 x 5 Step 3: 75 - 30 Step 4: 45 Kevin made an error in solving the expression. What error did Kevin make? Which step contains the error? What error did Kevin make? Explain how you would correct Kevin's error. Be sure to include the correct answer in your explanation.

Answers

The error Kevin made was in step 2 when he added before he multiplied.

What error did Kevin make?

This question would be solved using the BODMAS rule. The BODMAS rule provides the order in which mathematical problems should be solved. The order is:

bracket of division multiplication addition subtraction

Step 1 : 75 - 6 x 2 + 3Step 2: 75 - 12 + 3 Step 3 : 75 - 9 Step 4: 66

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Suppose that y varies directly with x and inversely with z, and y = 4 when x = 8 and z = 14. find z when x = 36 and y = 6. first, what is the equation of variation? y =

Answers

The value of z if x = 36 and y = 6 is 42

Direct and inverse variation

Suppose that y varies directly with x and inversely with z, hence the required expression will be:

y = kx/z

If  y = 4 when x = 8 and z = 14 then;

4 = k(8)/14

8k = 56

k = 7

To  find z when x = 36 and y = 6, we  will have:

6 = 7(36)/z
1 = 7(6)/z

z = 42

Hence the value of z if x = 36 and y = 6 is 42

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Answer:

Keep it simple. Answer:

y=kx/z

  k=7

 z=42

Step-by-step explanation:

PRECISION In November 2010 the average cost of 5 gallons of regular unleaded gasoline in the United States was $14.46. What was the average cost for 16 gallons of gasoline?

Answers

Answer:

46.272 or 46 34

125

Explains :

Let see :

Based on the given conditions, formulate: 16×14.46÷5

Calculate the product or quotient:231.36

5

Convert decimal to fraction:23136

100

5

Divide a fraction by multiplying its reciprocal:23136 × 1

100 5

Write as a single fraction:23136

100×5

Cross out the common factor:5784

25×5

Calculate the product or quotient:5784

5784 125

get the result: 46.272 or 46 34

125

Answer: 46.272 or 46 34

125

please help me! will give the brainliest answer!

Answers

Answer:

1, -1/3, 1/3, 1}

Given a line with slope = −6and passing through (−5,−9) , which of the following is the correct point-slope equation of the line? y−9=−6(x−5

Answers

The equation of the line with Slope = −6 and passing through (-5,−9) is y +9 = -6(x+5)

Equation of a line

The equation of a line in pint slope form is expressed as:

y - y1 = m(x-x1)

where

m is the slope = -6

(x1, y1)  is the point = (-5, -9 )

Substitute into the formula

y - (-9) = -6(x -(-5))

y +9 = -6(x+5)

Hence the equation of the line with Slope = −6 and passing through (-5,−9) is y +9 = -6(x+5)

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Probability and Playing Cards
There are 52 total cards in the deck.
There are 13 spades, 13 clubs, 13 diamonds, and 13 hearts.
Each suit has the following cards: Ace, 2, 3, 4, 5, 6, 7, 8, 9, 10, jack, queen, king.
Suppose you are dealt two cards from the deck. What is the probability of being dealt two aces?

Answers

Answer:

do the calculation below

Step-by-step explanation:

(4/52 ) *(3/51)

leave a comment if you need more help

Help me pleaseeeeeeeeeeeeeeeeeeeeeeeeeeeee.

Answers

Answer:

it's 8

Step-by-step explanation:

the lil hand is on the 8 and the big hand is on the 12

Answer:

The time is 8:00  but with out a question im not sure what your asking

Step-by-step explanation:

Find the third, fourth, and tenth terms of the sequence describe by the rule below
A(n)=3+(n-1)(-2)

Please help ASAP, I need to get this done by midnight...

Answers

The third term, fourth term and tenth term are -1, -3, -15 respectively.

What is a sequence?

A sequence is a pattern of numbers in which successive terms differ by an constant term called the common difference or ratio.

Analysis:

For a sequence defined by the rule A(n) = 3 + (n-1)(-2)

Third term, n = 3

A(3) = 3 + (3-1)(-2) = -1

Fourth term, n = 4

A(4) = 3 + (4-1)(-2) = -3

Tenth term, n = 10

A(10) = 3 + (10-1)(-2) = -15

In conclusion, the third, fourth, tenth terms are -1, -3 and -15 respectively.

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Horizontal stadia sights. Determine the error in distance if the uppermost portion of a 3. 0m long stadia rod is inclined 14 cm toward the observer and the rod intercept is 1. 75m on a horizontal sight

Answers

The error in the distance if the uppermost portion of a 3. 0m long stadia rod is inclined 14 cm toward the observer and the rod intercept is 1. 75m on a horizontal sight is 8.167cm.

What is Tangent (Tanθ)?

The tangent or tanθ in a right angle triangle is the ratio of its perpendicular to its base. it is given as,

Tan(θ) = Perpendicular/Base

where,

θ is the angle,

Perpendicular is the side of the triangle opposite to the angle θ,

The base is the adjacent smaller side of the angle θ.

Given the uppermost portion of a that is 3.0m long stadia rod is inclined 14 cm toward the observer, therefore, the angle of inclination, θ can be written as

tan(θ)=0.14/3

θ = 2.672°

Also, the rod intercept is 1.75m, therefore, t the error in distance in the distance is,

tanθ=x/1.75

x = 1.75 tan(θ)

x = 1.75 × tan(2.672°)

x = 0.08167 m = 8.167 cm

Hence, the error in the distance if the uppermost portion of a 3. 0m long stadia rod is inclined 14 cm toward the observer and the rod intercept is 1. 75m on a horizontal sight is 8.167cm.

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4.
In the diagram of AABC below, DE || BC,
AD= 3, DB=2, and DE = 6.m
6
E
2
B
What is the length of BC?
1) 12
2) 10
3) 8
4) 4
C

Answers

Length of bc is 8
hope this helps :))

Mary O’Connell is earning a weekly salary of $521.60 as a payroll clerk. She has accepted a new assignment in the tax processing department. In her new position, she will be paid an annual salary of $30,534. How much more will she earn per week in her new position

Answers

Answer:

$ 65.59 more per week

Step-by-step explanation:

Assuming she worked 52 weeks a year as a clerk :

30534     -     52 * 521.6  =  $ 3410.80 more per year

   now   each WEEK that is  3410.80 / 52 = 65.59

Identify the expressions for which limits exist.

Answers

Answer:

Step-by-step explanation:

Limits exist for:

[tex]\lim_{x \to4 \4} \frac{x^2 -x-12}{4-x}[/tex] = [tex]\frac{(x-4)(x+3)}{4-x}[/tex] = ( - 1 )( x + 3 ) = - 7

[tex]\lim_{x \to \ 2} \frac{x^2 +2x-8}{2-x}[/tex] = [tex]\frac{(x+4)(x-2)}{2-x}[/tex] = ( - 1 )( x + 4 ) = - 6

[tex]\lim_{x \to2 } \frac{x^2 +3x - 10}{x^2 -4}[/tex] = [tex]\frac{(x+5)(x-2)}{(x+2)(x-2)}[/tex] = [tex]\frac{x+5}{x+2}[/tex] = [tex]\frac{7}{4}[/tex]

guys help just with part b for number 2!

Answers

Answer:

22 8th graders

Step-by-step explanation:

if 25% of the 88 kids are 8th graders then do this.

88x.25=22

88x.75=66

there are 22 eighth graders

and 66 seventh graders.

Which represents the inverse of the function f(x) = 4x?
O h(x) = x +4
O h(x) = x-4
O h(x) = =x
h(x) = ÷x

Answers

Answer:

h(x) = 1/4 x

Step-by-step explanation:

h(x) = x + 4, h(x) = x – 4, h(x) = 3/4 x, h(x) = 1/4 x. Summary: The equation which represents the inverse of the function f(x) = 4x is h(x) = 1/4 x.

What is the slope of the line that passes through (-2, 7) and (4, 9)

Answers

Answer: The slope is 1/3

Step-by-step explanation:

m = y2-y1/x2-x1

m =9-7/4+2

m=2/6

m=1/3

Answer:

The slope is 1/3

Step-by-step explanation:

m=y2-y1/x2-x1

m=9-7/4-(-2)

m=2/6

m=1/3

(giving 100 points) What is the equation of the line of best fit for the following data? Round the slope and y-intercept of the line to three decimal places.


x y

4 3

6 4

8 9

11 12

13 17



A: y = 1.560x - 4.105

B: y = -4.105x + 1.560

C: y = 4.105x - 1.560

D: y = -1.560x + 4.105

please hurry

Answers

Answer:

Slope-intercept form of a linear equation:  [tex]y=mx+b[/tex]

where:

[tex]m[/tex] is the slope[tex]b[/tex] is the y-intercept

To determine the equation of the line of best fit from the given answer options, examine the relationship between the x and y values.

From inspection of the data, we can see that as x increases, y increases.  Therefore, the slope of the equation will be positive.

(If the y-values decrease as the x-values increase, then the slope would be negative).  

Therefore, we can immediately discount answer options B and D as they have negative slopes.

The x and y values are not very far away from each other.  The options given for the slope are either 1.560 or 4.105.  If the slope was 4.105, we would expect to see values of y that were further away from the x-values.

Therefore, the line of best fit is:

A:  y = 1.560x - 4.105

To prove this, plot the 5 points on a graph and draw a line of best fit (see attached).

Choose 2 points on the line of best fit:  (4, 2) and (11, 13)

Use the slope formula with these points to calculate the approximate slope:

[tex]\implies \sf slope\:(m)=\dfrac{change\:in\:y}{change\:in\:x}\approx\dfrac{13-2}{11-4}=\dfrac{11}{7}=1.57[/tex]

Thus proving that y = 1.560x - 4.105 is an appropriate option for the equation of the line of best fit.

Write a recursive formula for a_na n ​ , the n^{\text{th}}n th term of the sequence 50, -10, 2, ...50,−10,2,....

Answers

The recursive formula of the sequence is [tex]a_n = -\frac{a_{n-1} }{5}[/tex] where a1 = 50

How to determine the recursive sequence?

The sequence is given as:

50,−10,2,....

The above sequence is a geometric sequence, and it has the following parameters:

First term, a = 50Common ratio, r = -1/5 i.e. -10/50 = 5

This means that the product of the current term and -1/5 gives the next term.

i.e.

[tex]a_n = -\frac{a_{n-1} }{5}[/tex]

Hence, the recursive formula of the sequence is [tex]a_n = -\frac{a_{n-1} }{5}[/tex] where a1 = 50

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Analyze the diagram below and answer the question that follows. How much larger is the value of x than the value of y? A. 20 B. 70 C. 90 D. 110 Please select the best answer from the choices provided A B C D

Answers

Each of the pairs of the opposite angles made by two intersecting lines are called vertical angles. The value of x is 110 more than the value of y.

What are vertical angles?

Each of the pairs of the opposite angles made by two intersecting lines are called vertical angles.

The ∠AOB and ∠COD will be equal to each other because the two angle are vertically opposite angles. Therefore, we can write,

∠COD = ∠AOB

x + 2y = 50

x = 50 - 2y

Since angle ∠BOC and ∠COD are on the same line, the sum of this two angle will be equal to 180°. Therefore,

∠BOC + ∠COD = 180°

x - 2y + x + 2y = 180

2x = 180°

x = 90°

Substitue the value of x,

x + 2y = 50

90 + 2y = 50

2y = -40

y = -20

The difference in the value of x and y is,

Difference = 90 - (-20) = 110

Hence, the value of x is 110 more than the value of y.

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4x what = 364

please put the calculation

Answers

Answer:

91

Step-by-step explanation:

4 x 91 = 364

To work this out, we must do the inverse operation. The inverse (opposite) of x (times or multiply) is ÷ (divide).

So, we do 364 ÷ 4 = 91

Hope this helps!

- profparis

Given (x – 1)2 = 50, select the values of x.

Answers

Answer:

[tex]x= 1 +5\sqrt 2,~~ x=1-5\sqrt 2[/tex]

Step-by-step explanation:

[tex]~~~~~~(x-1)^2 = 50\\\\\implies x -1 = \pm\sqrt{50}\\\\\implies x = \pm\sqrt{25 \times 2} +1\\\\\implies x= 1 \pm 5\sqrt 2[/tex]

help me please i still struggle ​

Answers

Answer:

59 degrees

Step-by-step explanation:

Angles on a straight line add up to 180 degrees

Angles in a triangle add up to 280 degrees

180 minus 149 is 31

31 add 90 is 121

180 minus 121 is 59

Consider isosceles ΔXYZ.
What is the value of n?
What is the measure of leg XY? ft
What is the measure of leg XZ? ft

Answers

A triangle is a three-edged polygon with three vertices. It is a fundamental form in geometry. The length of the legs XY and YZ is equal to 39 units.

What is a triangle?

A triangle is a three-edged polygon with three vertices. It is a fundamental form in geometry. The sum of all the angles of a triangle is always equal to 180°. An isosceles triangle has two sides out of three equal.

A.) The value of n can be found by equating XY and XZ together,

XY = XZ

9n + 12 = 15n - 6

12 + 6 = 15n - 9n

18 = 6n

n = 3

Hence, the value of n is 3.

The length of different legs of the triangle is,

B.) XY = 9n + 12 = 9(3) + 12 = 27 + 12 = 39

C.) YZ = 15n - 6 = 15(3) - 6 = 45 - 6 = 39

Hence, the length of the legs XY and YZ is equal to 39 units.

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Answer:

Step-by-step explanation:

3

39

39

any help is great find the missing length?

Answers

Answer:

3

Step-by-step explanation:

Similar = proportional

solve with an equation

12 : 9 = 4 : x

x = 4 * 9 : 12

x = 3

The ratio of ann's age to bob's age is 3:4
in 7 years time this ratio will be 4:5
0) what are their ages now?
(1) after how many years (from now)
will the ratio be 5:6?

Answers

Ann and Bob's age is 21 years  and 28 years respectively and after 14 years the ratio will be 5:6.

What is Ratio ?

The comparison of one quantity to other is called a ratio and when two ratios are equal they are said to be in proportion.

It is given in the question that

The ratio of Ann's age to bob's age is 3:4

in 7 years time this ratio will be 4:5

their ages now = ?

Let the age of Ann and Bob is x and y

x:y = 3:4

x =(3/4)y

After seven years

(x+7):(y+7) = 4 :5

(x+7)/(y+7) = 4/5

((3/4)y +7)/(y+7) = 4/5

(3y +28)/(y+7) = 16/5

5*(3y+28)= 16(y+7)

15y +140 = 16y+112

y = 140-112

y =28 years

x = 21 years.

After x years suppose the ratio is 5 :6

(21+x)/(28+x) = 5:6

126 +6x = 140 + 5x

x = 14 years.

Therefore after 14 years the ratio will be 5:6.

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Find x, rounding to the nearest tenth (one decimal place)

Answers

Answer:

x= 27.5

Step-by-step explanation:

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