What is 23a 76b - 17a 42b

The equation of the linear function is  f(x) = 3x + 6

Given,

In the question:

The values are given as:

f(0)=6 and f(7)=27

To write a linear function.

Now, According to the question:

Write the equation of linear function:

y = mx + b

Substitute (0,6) and (7, 27) into y = mx + b:

6 = m x 0 + b

27 = m x 7 + b

Solve the equation:

6 = b

27 = 7m + b

Swap the sides :

b = 6

27 =7m +b

Substitute into one equation:

27 = 7m + 6

7m = 27 - 6

7m = 21

m = 3

Substitute b = 6 , m = 3 into y = mx +b

f(x) = 3x + 6

Hence, The equation of the linear function is  f(x) = 3x + 6

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Answer:

y-y=x2-14x+14x+1-17

x2-16=0

x2=16

x=4

Answer: The answer should be 1.24.

Step-by-step explanation:

1.24209 rounded to the nearest hunredth is 1.24.

Answer:

1.24

Step-by-step explanation:

there are 33.814 fluid ounces in one liter. But she mixes 24 + 18 = 42 fluid ounces which is 1.24209 liters rounded to the nearest hundredth is 1.24

Answer:f(-10)= -60

Step-by-step explanation:

Answer:

f(- 10) = - 300

Step-by-step explanation:

substitute x = - 10 into f(x) , that is

f(- 10) = - 3(- 10)² = - 3(100) = - 300

Answer: 144

Step-by-step explanation:

When we go from 4 to 16, we add 12. Then, to get to 36, we add 20. Then, we add 28 to get 64, and finally 36 to get 100. The pattern looks like we add by 8 more every time, so next number is 100 + (36 + 8) or 144.

The sequence of squares of even nos. so the 8th term would be the square of 16 which is 256.

An arithmetic sequence is a set of numbers in which every no. next to the previous number has the same common difference

d = aₙ - aₙ₋₁ = aₙ₋₁ - aₙ ₋₂.

In a geometric sequence numbers are written in the same constant ratio(r).

It means every next number is a multiple of a common constant and the previous number.

r = aₙ/aₙ₋₁ = aₙ-₁/aₙ₋₂.

The given sequence is 4, 16, 36, 64, 100...

This is a sequence of squares of even nos.

The first term is the square of 2 and the second term is the square of 4 hence the 8th term would be the square of 16 which is 16² = 256.

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Answer: Wat is dat green unlined as

Step-by-step explanation:

Answer: A. 5/99

Step-by-step explanation: This is bc it is repeating and 5 is an odd number.

The relative maxima and relative minima for  f(x) = x⁵ - 4x³ + 3x² - 8x - 6 is   is -1.871 and  1.518

The given  function is  f(x) = x⁵ - 4x³ + 3x² - 8x - 6  ,now  differentiation function with respect to x we get  

=5x⁴ - 12x² + 6x - 8

Now solving the given  equation for the critical values are:

x₁ = 0.176 + 0.73i

x₂ = 0.176 - 0.73i

x₃ = 1.518

x₄ = -1.871

Now, taking derivative of the 5x⁴ - 12x² + 6x - 8  , with respect to x we get

= 20x³ - 24x + 6

now replacing the value of  x by   1.58, we get

20 * 1.58³ - 24 * 1.58 + 6

= 46.966, which is positive so it is the  minima

Again  replacing the value of  x by   -1.871, we get

=>20 * -1.871³ - 24 * -1.871 + 6

=> -169.9, which is negative so it is the maxima

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Mrs. Rowan's  , percent error is  40% .

In the question ,

it is given that ,

the time allotted by Mrs. Rowan to complete the exam = 30 minutes

the time that the last student took to complete the exam = 42 minutes

the percent error can be calculated using the formula

percent error = (time student take - time allotted) / (time allotted) × 100

Substituting the values of allotted time and time taken by the student from above , we get

percent error = (42 - 30)/30 × 100

= 12/30 × 100

= 0.4 × 100

= 40%

Therefore , Mrs. Rowan's percent error is  40% .

The given question is incomplete , the complete question is

Mrs. Rowan allotted 30 minutes at the beginning of class for her students to complete an exam. The last student took 42 minutes to complete the exam. What is Mrs. Rowan's percent error ?

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11 times the product of 19 and a number g?

11*(19g)

= 209g

The solution is y = -5

What is Quadratic Equation?

A quadratic equation is a second-order polynomial equation in a single variable x , ax² + bx + c = 0. with a ≠ 0. Because it is a second-order polynomial equation, the fundamental theorem of algebra guarantees that it has at least one solution. The solution may be real or complex.

Given data ,

Let the function be f ( x ) = y

And , y = x² + 2x - 8

So , f ( x ) = x² + 2x - 8

Substituting the value for x in the equation , we get

When x = -3

f ( -3 ) = ( -3 )² + 2( -3 ) - 8

         = 9 - 6 - 8

         = 9 - 14

f ( -3 ) = -5

When x = 1

f ( 1 ) = ( 1 )² + 2( 1 ) - 8

       = 1 + 2 - 8

       = 3 - 8

f ( 1 ) = -5

Hence , the value of y = -5

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70 Cos 20° rounded up to 1d.p is 65.8 and as a fraction is 658/10.

What is a fraction?

This refers to the value that is part of a whole number. It has a numerator (upper part) and a denominator (lower part) eg.1/2.

What is Decimal point?

This refers to a dot that is used to demarcate a whole number from the fractional part of a number. eg. 12.6.

The number of points/ values after the decimal point is called the decimal place. Example: 3.7  ( 1 decimal place), 4.26 ( 2 decimal places).

From the question:

Calculate 70cos 20° rounded to 1 d.p.

=70 * 0.9397

=65.78

rounded to 1 d.p.

=65.8

As fraction:

65.8 =65.8/10

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profit margin does the stadium anticipate for this year 575050

Given,

This year, a stadium manager has booked five performances with a projected aggregate revenue of $1,050,050.

Profit: 1000 - 425 (85 x 5) = 575

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Answer:1/4 ×256/1= 64 women that left party

256-64= 192 women who remained

192+198=390 men and women at the party

Step-by-step explanation:

Answer:

Step-by-step explanation:

Effective interest rate, r = [tex](1+\frac{i}{n} )^{n}-1[/tex]
Here,
r = effective annual rate
i = nominal rate
n = number of periods

r = [tex](1+\frac{0.0489}{12} )^{12}-1[/tex]

 = 0.05001099558

 = 5.001099558 %

The solution of the inequality z + 1 ≥ 29 for z , is z ≥ 28  .

Inequality can be defined as a relationship between two expressions or values that are not equal to each other.

For Example : x > 3.

In the question ,

it is given that

the inequality is " z + 1 is greater than it equal to 29 ",

we have to solve this inequality for z ,

So inequality can be rewritten as

z + 1 ≥ 29

Subtracting 1 from both sides of the inequality , we get

z + 1 -1 ≥ 29 - 1

z ≥ 29 - 1

z ≥ 28 .

Therefore , The solution for z + 1 ≥ 29 , is z ≥ 28  .

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The solution to the equation by linear combination is (b)  The solution is (4, 0).

From the question, we have the following system of equations

2x + y = 8

x – y = 4

By linear combination, we start by eliminating one of the variables

This is done by adding the equations

So, we have

2x + x - y + y = 8 + 4

Evaluate the like terms

3x = 12

Divide both sides

x = 4

Substitute x = 4 in x – y = 4

4 – y = 4

So, we have

y = 4 - 4

Divide

y = 0

Hence, the solution is (b) (4, 0)

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The percent of decrease is 63.16%

How to calculate the percentage of decrease?

First, we calculate the amount of decrease

= $3,800 - $1,400

= $2,400

Next we dividing the amount of decrease by original price (old price)

= $2,400 ÷ $3,800

= 0.6316

And then convert the result into a percentage by multiplying by 100%

= 0.6316 × 100%

= 63.16%

Thus, the percent of decrease is 63.16%

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Answer: x = 14

Step-by-step explanation: Because these are vertical angles we know they are equal.

5x-10 = 60

Add 10 on both sides

5x = 70

Divide by 5 on both sides

x = 14

The total 12 people answered the survey in total when in a survey, 7 people said that their favorite card game was patience.

Given that,

In a survey, 7 people said that their favorite card game was patience.

We have to find how may people answered the survey in total.

Pie charts can be used to show percentages of a whole group and show percentages at a particular moment. In contrast to bar graphs and line graphs, pie charts do not show changes over time. The pages that follow provide a description of a pie chart's many elements.

We divide the patience by 7

210/7

30

So, For each person in patience we have 30°.

The total is

60°+30°+60°+210°

2+1+2+7

12

Therefore, The total 12 people answered the survey in total when in a survey, 7 people said that their favorite card game was patience.

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Answer:

h = 3

Step-by-step explanation:

y-6 = 4/7 (x-(-4)

y - 6 = 4/7 (x+4)

y - 6 = 4/7 x + 16/7

y = 4/7 x + 16/7 + 6

y = 4/7 x + (16+42)/7

y = 4/7 x + 58/7

10 = 4/7 x + 58/7

4/7 x = 10 - 58/7

4/7 x = (70-58)/7

4/7 x = 12/7

7/4 * 4/7 x = 12/7 * 7/4

x = 3

The probability that five tails will show is 1/32.

Given that the 5 coins are tossed. The probability of getting the head or the tails is 1/2 for each toss.

This means, total number of observations  = 2⁵  = 32.

Required outcome is → 5 Heads {H,H,H,H,H}

This can occur only ONCE! when all the coins show the heads.

Thus, required outcome  = 1

so, the Probability (5 Heads)  = 1/32.

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Answer: I think it (7,4.1)

Step-by-step explanation:

Answer:

7.3.0

Step-by-step explanation:

Using linear approximation, the function y = √33 is approximated as 5.744

The concept behind the linear approximation formula is the equation of a tangent line. We know that the slope of the tangent that is drawn to a curve y = f(x) at x = a is its derivative at that point. i.e., the slope of the tangent line is f'(a). Thus, the linear approximation formula is an application of derivatives. Let us learn more about this formula in the upcoming sections.

In equation y = √33

We can apply linear approximation to this

y = √33 = 5.744

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Answer: what picture

Step-by-step explanation:

f(-1) = -11 and f(3) = -3 . these functions are true .

What does a math function mean?

given function  f(x) = 2x - 9

   f(-1) = -11 ⇒ x = -1 put in function

                       f( -1 ) = 2 * -1 - 9  ⇒ - 11

    f(2) = 5   ⇒ x = 2 put in function

                    f( 2 ) = 2 * 5 - 9 = 1

    f(3) = -3  ⇒  x = 3 put in function

                     f ( 3 ) = 2 * 3 - 9 = -3

       f(-3) = 15   ⇒  x =  -3 put in function

                     f( -3) = 2 * -3 - 9 = - 15

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Answer:

Step-by-step explanation:

Find the prime factors of each number:

The greatest common factor of the three numbers is: