Average Rate of change from Table Nov 18, 9:58:13 AM Given the function defined in the table below, find the average rate of change simplest form, of the function over the interval 4 < < 12. 4 25 20 12 16 Submit Answer LIISWO

Answer:

The first one is correct

Step-by-step explanation:

ITs all good

Answer: Choice A, x=-4

Step-by-step explanation:

1. 9x−(3x+9)=2x−25

2. 9x-3x-9=2x-25

3. 6x-9=2x-25

4. 6x-9=2x-25  

   -2x          -2x

5. 4x-9=-25

       +9    +9

6. 4x=-16 (divide both sides by 4)

7. x=-4

Answer:  y=1/x+5-1

Step-by-step explanation:

Answer:

35

Step-by-step explanation:

You can easily graph this in desmos for a visual understanding.

The slope of a line is received by (y2-y1)/(x2-x1). Assuming that Days is X and the cost is Y, we get (160-90)/(4-2), and it makes 70/2, which equates out to 35. Because the prices become more and more expensive, the slope is positive 35.

Layla: Sofia

4:3

Multiply by 3

4*3 : 3*3

12 : 9

We know Sofia to Evelyn is 9:5

We can write this as one ratio

Layla : Sofia : Evelyn : total

12 : 9 5 : 12+9+5 = 26

We have 754 pieces of paper so divide by 26

754/26 =29

Multiply each number by 29

Layla : Sofia : Evelyn : total

12*29 : 9*29 : 5*29 : 26*29

348 261 145 754

Layla has 348 pieces

Layla - Evelyn

348-145

203

Layla has 203 more pieces

I suppose you mean

\(f(x) f(y) = f(x + y) + f(x - y)\)

Let \(x=1\) and \(y=0\). Then

\(f(1) f(0) = f(1 + 0) + f(1 - 0) \implies f(1) f(0) = 2 f(1) \implies f(0) = 2\)

Now if we fix \(y=1\), the functional equation reduces to the recurrence relation

\(f(x) f(1) = f(x + 1) + f(x - 1) \implies f(x+1) - 3f(x) + f(x-1) = 0\)

and we can find \(f(7)\) with a few rounds of substitution.

\(x=1 \implies f(2) - 3f(1) + f(0) = 0 \implies f(2) = 3f(1) - f(0) = 7\)

\(x=2 \implies f(3) - 3f(2) + f(1) = 0 \implies f(3) = 3f(2) - f(1) = 18\)

\(x=3 \implies f(4) - 3f(3) + f(2) = 0 \implies f(4) = 3f(3) - f(2) = 47\)

\(x=4 \implies f(5) - 3f(4) + f(3) = 0 \implies f(5) = 3f(4) - f(3) = 123\)

\(x=5 \implies f(6) - 3f(5) + f(4) = 0 \implies f(6) = 3f(5) - f(4) = 322\)

\(x=6 \implies f(7) - 3f(6) + f(5) = 0 \implies f(7) = 3f(6) - f(5) = \boxed{843}\)

Answer:

  ∠DQE = 65°

Step-by-step explanation:

You want to know the measure of Angle DQE in the given figure.

Triangle ADE is inscribed in a semicircle, so is a right triangle. That makes acute angle AED complementary to acute angle EAD. The latter is given as 50°, so ...

  ∠AED = 90° -50° = 40°

We know that tangent line QE is perpendicular to diameter AE, so angle AEQ is a right angle. Segment ED divides that right angle into complementary angles, so ...

  ∠DEA +∠DEQ = 90°

  ∠DEQ = 90° -∠DEA = 90° -40° = 50°

A.pex angle DEQ in isosceles triangle DEQ being 50° means that the base angles QDE and DQE will have measure ...

  ∠DQE = (180° -50°)/2 = 130°/2

  ∠DQE = 65°

__

Alternate solution

Let angles DQE and QDE be represented by x. Then the sum of angles in quadrilateral ADQE is 360°:

  50° +(90+x)° +x° +90° = 360°

  230° +2x = 360° . . . . . . simplify

  x = 130°/2 = 65° . . . . . solve for x

The inequality is used to find the domain of the given function is

5x-5 ≥ 0

A function is a relation from a set of inputs to a set of possible outputs, where each input is related to exactly one output.

Given is function y = √(5x-5)+1, we have to find which inequality can be used to find the domain.

Since, the function is a square root function.

We know that,

The square root function is defined only for the positive values, including 0. i.e. the expression inside the square root must be greater than or equal to 0.

The expression inside the square root is (5x-5) so that must be greater than or equal to 0 which can be written as :

5x-5 ≥ 0

Hence, the inequality is used to find the domain of the given function is 5x-5 ≥ 0

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Answer:

d²+4a+6 is the answer in ky opinion

Answer:

Step-by-step explanation:

3(3) = 9

15-3=12

12(9)= 108

7(9)=63

ans : 183

Based on the information given the new balance is $289.72.

First step is to calculate the finance charge

\(\text{Finance charge}=205.16\times(0.144\div12 \ \text{months})\)

\(\text{Finance charge}=205.16\times0.012\)

\(\text{Finance charge}=2.46\)

Second step is to calculate the New balance

\(\text{New balance}=205.16+2.46+82.10\)

\(\text{New balance}=\bold{\$289.72}\)

In conclusion, the new balance is $289.72.

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The factory will put 441 cans of soda in 7 cases.

If each case of soda contains 7 cans of each flavor, and the factory is putting 7 cases, we can calculate the total number of cans by multiplying the number of flavors, cans per flavor, and cases.

Given:

Number of flavors = 9

Cans per flavor = 7

Number of cases = 7

To calculate the total number of cans, we can multiply these values:

Total cans = Number of flavors × Cans per flavor × Number of cases

Total cans = 9 × 7 × 7

Total cans = 441

To arrive at this answer, we multiplied the number of flavors (9) by the number of cans per flavor (7) to get the number of cans per case (63). Then, we multiplied the cans per case (63) by the number of cases (7) to obtain the total number of cans (441).

Hence, the factory will put 441 cans of soda in 7 cases.

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The cubic model that relates weight ( x ) to wingspan ( y ) can be found to be y = 0.4086x³ - 3.9140x² + 12.5943x + 25.8855.

To find the cubic model that relates the weight (x) with wingspan (y), we need to create a cubic equation of the form:

y = ax³ + bx² + cx + d

We have four pairs of data points, which we can use to create four equations to solve for the coefficients a, b, c, and d:

Turkey Vulture: (4, 67)

67 = a(4³) + b(4²) + c(4) + d

Red-Tailed Hawk: (2.4, 49)

49 = a(2.4³) + b(2.4²) + c(2.4) + d

Bald Eagle: (9.5, 80)

80 = a(9.5³) + b(9.5²) + c(9.5) + d

Peregrine Falcon: (2.1, 46)

46 = a(2.1³) + b(2.1²) + c(2.1) + d

When we solve for a, b, c, and d using a numerical method in a cubic model calculator, we get:

a = 0.4086

b = -3.9140

c = 12.5943

d = 25.8855

So, the cubic model relating weight (x) with wingspan (y) is:

y = 0.4086x³ - 3.9140x² + 12.5943x + 25.8855

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Answer:

1:5

Step-by-step explanation:

Total flowers: 4+16 = 20

Ratio = gold:total = 4:20

This simplifies to 1:5

Answer:

1:5

Step-by-step explanation:

4 gold flowers out of 20 total gold and purple

makes it 4:20

reduced 4:20 is 1:5

The value of x - co-ordinate of point A is cos(2π/3)

Step - by - Step Explanation

Given that:

We know that if any unit circle which radius is r (r=1) and angle is θ then its coordinate will be:

x = rcos θ

y = r sinθ

In the figure given to us θ will be;

θ = π / 2 + π /6

Simplify

We can reduce the fraction above by 2.

But the x - coordinate is given by :

x= rcos θ

From the figure, it is a unit circle, so r = 1

We've calculated θ = 2π /3

Substitute the values into x = rcosθ

x = 1 . cos (2π /3)

Therefore, the value of x- coordinate is cos(2π/3)

Answer:

how many people are there, does it say?

Step-by-step explanation:

Answer: 78 ounces of dough

Step-by-step explanation:

You bought 78 ounces of dough and 52 ounces of sauce

The polynomial function that has the degree of 5 is written as f(x) = 2x⁵ + 26x⁴ + 128x³ + 296x² + 320x + 128

Polynomial function:

The equations formed with variables, exponents and coefficients are known as the polynomial equations. And it can have different exponents, where the higher one is called the degree of the equation.

Given,

Here we have the following things,

Degree = 5

Root of multiplicity 2 is x = -4

Root of multiplicity 1 at x = -1

Root of multiplicity 2 at x = -2

y-intercept of (0, 128)

Here we need to find the polynomial equation of the function.

According to the given roots of multiplicity, we have the factors of the polynomials are,

=> (x + 4)² (x + 1) (x + 2)²

So, the general form of the polynomial function can be written as,

=> f(x) = A (x + 4)² (x + 1) (x + 2)²

In order to find the 5 degree polynomial function, we have to calculate the value of A.

To Find the value of A, we have to apply the y - intercept point on the equation then we get,

=> 128 = A (0 + 4)² (0 + 1) (0 + 2)²

=> 128 = A (4)² (1) (2)²

=> 128 = A (16 x 1 x 4)

=> 128 = 64A

=> A = 2

Now, the polynomial function is written as,

=> f(x) = 2 (x + 4)² (x + 1) (x + 2)²

When we expand this one then we get,

=> f(x) =2 [x⁵ + 13x⁴ + 64x³ + 148x² + 160x + 64]

Therefore, the resulting polynomial function is,

=> f(x) = 2x⁵ + 26x⁴ + 128x³ + 296x² + 320x + 128

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Answer:

54,600 ways

Step-by-step explanation:

i hope you understand this

Answer:

X    |   y

---------------

-2   |   3

-1   |   0

0   |  -3

1   |  -6

Answer:

35 and 13

Step-by-step explanation:

Sum: 35 + 13 = 48

Difference: 35 - 13 = 22

Answer:

x = 2

Step-by-step explanation:

All three angles are equal in measurements which means all sides of the triangle is also equal in measurement. To solve for x, simply equal the two expressions together and isolate variable x.

9 = 3x + 3

Isolate variable x by subtracting both sides by 3:

6 = 3x

Isolate variable x by dividing both sides by 3:

2 = x

Check your work:

9 = 3(2) + 3

9 = 6 + 3

9 = 9

Correct!

Answer:

The scale factor is 2/3

Step-by-step explanation:

The image of (6,9) under a dilation is (4,6).

As you might see, there is a ratio between the image after dilating and before dilating, which is 4/6 = 6/9 = 2/3.

=> The scale factor is 2/3.

Answer:

it will take at least 9 years for Lucy's investment to grow to more than $5,000. Since we can't have a fraction of a year, the answer is 10 years (rounded up from 9.09).

Step-by-step explanation:

We can solve this problem by using the formula for compound interest:

A = P(1 + r/n)^(nt)

where:

A = the amount of money in the account after t years

P = the initial investment (principal), which is $4,000 in this case

r = the interest rate per year, which is 3% expressed as a decimal (0.03)

n = the number of times the interest is compounded per year (we'll assume it's compounded annually, so n = 1)

t = the number of years

We want to find the number of years t it will take for the account balance to exceed $5,000. So we can set up the following inequality:

A > 5000

Substituting the values we have into the compound interest formula and simplifying, we get:

4000(1 + 0.03/1)^(1t) > 5000

Simplifying further, we get:

1.03^t > 1.25

To solve for t, we can take the logarithm of both sides of the inequality:

log(1.03^t) > log(1.25)

t*log(1.03) > log(1.25)

t > log(1.25) / log(1.03)

Using a calculator, we find that:

t > 9.09

Answer:

2,3,4,..... teams

Step-by-step explanation:

there are many

Answer:

let's divide it 2

Step-by-step explanation:

by diving in two halves we get 18

so we will divide the childrens in two equal groups

Answer:

$0.51

Step-by-step explanation:

If each box of cereal is $2.40, $2.40 multiplied by 4 is $9.60. $10.11 is the total, so $10.11 - $9.60 = $0.51.

Answer:

$0.51

Step-by-step explanation:

the person above me was correct

Answer: So if Allison has 30 beads and each bracelet has 7. She would make 4 bracelets with 2 left over. The sentence would be If Alyson made 4 bracelets she would use 28 beads, leaving 2 left over.

Step-by-step explanation: 30/7 is 4 with a remainder of 2

Answer:

3x + 12

Step-by-step explanation:

5x + 6(x - 2) - 8(x - 3) ← distribute parenthesis

= 5x + 6x - 12 - 8x + 24 ← collect like terms

==(5x + 6x - 8x) + (- 12 + 24)

= 3x + 12

SOLUTION:

Step 1:

In this question, we are given the following:

Scott is 72 inches tall and Chris is 185 centimeters tall.

Who is taller? Show your work.

Step 2:

Scott is 72 inches tall

and

Chris is 185 centimeters tall

Converting cm to inches, we have that:

CONCLUSION:

Since Chris' height = 72.8 inch tall and Scott's height = 72 inch tall

Hence, Chris is taller.



Answer :

Step by step explanation