I wanted to see if I did it right since I’m studying for my test soon!

Answer:

2(9x-3)

6(3x-1)

16.4x-6-1.6x

Answer:

$2.94

Step-by-step explanation:

2.52 for 12 eggs

0.21 for 1 egg

0.21 * 14 = 2.94

Answer:

$2.94

Step-by-step explanation:

Find the cost per egg

2.52/12 = 0.21

$0.21 per egg

0.21 x 14 = 2.94

$2.94 for 14 eggs

Answer:

Step-by-step explanation:

To find the equation for the nth term in the sequence, we need to determine the pattern or rule that generates the sequence.

From the given information, we can see that the sequence is not arithmetic because the differences between consecutive terms are not constant. Instead, the sequence appears to be quadratic because the second difference between consecutive terms is constant.

Using the given values of a₁, a₃, and a₅, we can find the first few differences:

a₃ - a₁ = 4 - (-6) = 10

a₅ - a₃ = 14 - 4 = 10

So, the first difference is 10, which indicates a linear term in the equation for an. We can now use the given value of a₁ and the first difference to find the constant term in the quadratic equation. Let d be the common difference, then we have:

a₂ = a₁ + d = -6 + 10 = 4

a₄ = a₃ + d = 4 + 10 = 14

a₆ = a₅ + d = 14 + 10 = 24 - 1

a₇ = a₆ + d = 24 - 1 + 10 = 33

Now, we can find the second difference between consecutive terms:

a₄ - 2a₃ + a₂ = 14 - 2(4) + (-6) = 0

a₆ - 2a₅ + a₄ = 19 - 2(14) + 4 = -5

a₇ - 2a₆ + a₅ = 33 - 2(19) + 14 = 9

Since the second difference is constant (-5), this confirms that the sequence has a quadratic term in its equation. Let's assume the equation for the nth term is:

an = an² + bn + c

Substituting the values we know, we get three equations:

a₁ = a₁² + b₁ + c --> -6 = c

a₃ = a₃² + b₃ + c --> 4 = 9a + b + c

a₅ = a₅² + b₅ + c --> 14 = 25a + 5b + c

Solving this system of equations, we get:

a = 1/2, b = 19/2, and c = -6

Therefore, the equation for the nth term in the sequence is:

an = (1/2)n² + (19/2)n - 6.

The distance between the two points is

d = √( -2-x)² + (3 -y)² OR d = √ (x+2)² + (y-3)².

Distance between two points is the length of the line segment that connects the two points in a plane.

The distance between two points is expressed as;

d = √ (X-x )² + (Y-y)²

X = -2

x = x

Y = 3

y = y

Therefore the distance between the two points is

d = √( -2-x)² + (3 -y)²

or it can also be written in this form

d = √ x-(-2)² + (y-3)²

d = √ x+2)² + (y-3)²

therefore the model of the distance between the two points can be

d = √( -2-x)² + (3 -y)² OR d = √ (x+2)² + (y-3)².

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Answer:

C. 5 inches

Step-by-step explanation:

I’m area you have to multiply L • W

But since we don’t know the width we can divide the length by the area.

40/8 = 5

So the answer would be 5.

Another way to solve this problem is with using guess and check.

I hope it helps! Have a great day!

Anygays~

Answer:

C. 5 inches

Step-by-step explanation:

Use the numbers we have in the word problem, so you´d divide 40 by 8 since you´re trying to find the width. 40 is the area and 8 is the length so divide it tofind the width.

40/8 = 5

ANSWER: 5 inches

I hope it helps! Have a great day!

The value of x in the triangle is 109.5

The value of x can be calculated using the following law of cosine

a^2 = b^2 + c^2 - 2bc cos(A)

Where:

a = x

b = 63

c = 61

A = 124

So, we have:

x^2 = 63^2 + 61^2 - 2 * 63 * 61 cos(124)

Evaluate

x^2 = 11987.96

Take the square root of both sides

x = 109.5

Hence, the value of x is 109.5

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The way to identify these tables is through the way that the value of y increases.

A linear table is a table that increases or decreases by a common difference. Check the attachment to see how it increases.

This is the table that the value increases with a common ratio. The y value doubles in this case.

This is a table that has a constant second difference.

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The domain is the set of x-values.

The range is the set of y-values.

For it to be a function, it must pass the vertical line test (which states that any vertical line must intersect the graph at no more than one point).

Question 3

Domain: All real numbers

Range: [1,3]

Function: Yes

Question 4

Domain: All real numbers greater than or equal to 2

Range: All real numbers

Function: No

Answer:

x = -10

Step-by-step explanation:

1) A line creates a 180° angle on each side of it. Even if another line intersects it, we know that the total measure of angles on that side will equal 180°.

2) We set the equations equal to 180.

(-4x) + (-14x) = 180

Combine like-terms

-18x = 180

Isolate x by dividing both sides by -18.

x = -10

3) To solve for each angle, you can plug in -10 for x and solve.

-4(-10) = 40°

-14(-10) = 140°

The probability of landing on the dark blue target is 2/5.

Probability is the ratio of required to the total possible outcomes of an event.

P(dark blue ) = 40/100

divide through by 20

P(dark blue ) = 2/5

Therefore, the probability of landing on target is 2/5

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Answer:18

Step-by-step explanation:15 + 6 u add the 15 and the 6 for it to be 18

Answer:

Step-by-step explanation:

The length of AB is (x + 4) cm and the values of a and be are a = 10, b = 4

A rectangle is a quadrilateral in which opposite sides are equal and parallel to each other. The area of a rectangle is:

Area = length * width

From the image:

Length of AB = x + 4

Length of BC = x + 6

The area of rectangle ABCD = Length of AB * Length of BC

28 = (x + 4)(x + 6)

x² + 10x + 24 = 28

x² + 10x = 4

Comparing with x² + ax = b gives:

a = 10, b = 4

Therefore the length of AB is (x + 4) cm and the values of a and be are a = 10, b = 4

The linear function that has the same y-intercept as the given graph is the equation y = -2x + 10, corresponding to option 3.

To determine the linear function with the same y-intercept as the graph, we need to find the equation of the line passing through the points (3, 4) and (5, 0).

First, let's find the slope of the line using the formula:

slope (m) = (change in y) / (change in x)

m = (0 - 4) / (5 - 3)

m = -4 / 2

m = -2

Now that we have the slope, we can use the point-slope form of a linear equation to find the equation of the line:

y - y1 = m(x - x1)

Using the point (3, 4) as our reference point, we have:

y - 4 = -2(x - 3)

Expanding the equation:

y - 4 = -2x + 6

Simplifying:

y = -2x + 10

Now, let's check the given options to find the linear function with the same y-intercept:

Option 1: The table with x-values (-3, -1, 1, 3) and y-values (-4, 2, 8, 14)

The y-intercept is not the same as the given line. So, this option is not correct.

Option 2: The table with x-values (-4, -2, 2, 4) and y-values (-26, -18, -2, 6)

The y-intercept is not the same as the given line. So, this option is not correct.

Option 3: The table with x-values (-5, -3, 3, 5) and y-values (-15, -11, 1, 5)

The y-intercept is the same as the given line (10). So, this option is correct.

Option 4: The table with x-values (-6, -4, 4, 6) and y-values (-26, -14, 34, 46)

The y-intercept is not the same as the given line. So, this option is not correct.

Therefore, the linear function that has the same y-intercept as the given graph is the equation y = -2x + 10, corresponding to option 3.

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An open circle at 5 and a bold line starting at 5 and pointing to the right (>) is the correct representations of the inequality

An inequality compares two values, showing if one is less than, greater than, or simply not equal to another value e.g 5 < 6, x ≥ 2, etc.

Given: the inequality –3(2x – 5) < 5(2 – x)

First, we have to solve for x in the inequality

–3(2x – 5) < 5(2 – x)

Clear the parenthesis:

-6x + 15 < 10 - 5x

Collect like terms:

-6x + 5x < 10 - 15

-x < -5

Divide both sides by -1:

x > 5              ( Note:  Dividing both sides by -1 will change the < to > )

This is what will determine our answer

Since our answer is x > 5.  An open circle will be at 5 and a bold line starts at 5 and is pointing to the right (>)

Therefore,  the correct representations of the inequality is  an open circle is at 5 and a bold line starts at 5 and is pointing to the right

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See attached. No idea why I can't submit this answer...

Multiplication is the process of multiplying. The number 72 in terms of the product of primes is described as 2³ × 3².

Multiplication is the process of multiplying, therefore, adding a number to itself for the number of times stated. For example, 3 × 4 means 3 is added to itself 4 times, and vice versa for the other number.

The number 72 in terms of the product of primes can be written as,

72 = 2×2×2×3×3×1 = 2³ × 3²

Hence, the number 72 in terms of the product of primes is described as 2³ × 3².

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The average exact answer is 801,863. Rounding each number all the way means that 417,459 is rounded to 400,000 and 384,404 is rounded to 400,000. 400,000 + 400,000 = 800,000, which is rounded to 801,863.

417,459 rounded to 400,000

384,404 rounded to 400,000

400,000 + 400,000 = 800,000

800,000 rounded to 801,863

Exact answer is 801,863

When rounding each number all the way, 417,459 is rounded down to 400,000 and 384,404 is rounded up to 400,000. When adding these two numbers, the exact answer is 801,863. This can be shown by step by step calculations. First, 417,459 is rounded to 400,000 and 384,404 is rounded to 400,000. Next, 400,000 + 400,000 equals 800,000. Finally, 800,000 is rounded up to 801,863, which is the exact answer. This demonstrates how rounding each number all the way and then adding them together can be used to estimate the exact answer without having to do any more complex calculations.

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Answer:

8

Step-by-step explanation:

radical form conversion uses the equation: \(\alpha ^\frac{z}{n} = `^n\sqrt{a^x}\)

Use the rule to convert 4^3/2 to a radical, where a = 4,  x = 3, and n = 2

\(\sqrt{4^3}\)

simplified, your answer is 8

hope this helps:)

Answer:

8

Step-by-step explanation:

\(27^\frac{1}{3}\) is the same as \(\sqrt[3]{27^1}\). To write an exponent in radical form , the denominator, or index goes in front of the radical, and the numerator goes inside of the radical. We raise the base to the power of the numerator.

\(4^{ \frac{3}{2}}\) is the same as \(\sqrt4^3}\)

\(\sqrt{64}\)

\(\sqrt(8*8)\)

\(\cancel\sqrt(8^\cancel2) (cancel)\)

= 8

Answer:

$62,167.3

Step-by-step explanation:

Profit after nine years is the amount.

Amount = Principal + Interest

Given

Earning profit = Principal = $49,300

Rate = 2.9%

Time = 9 years

Interest = Principal * Rate * Time/100

Interest = $49,300*2.9*9/100

Interest = 1,286,730/100

Interest = $12,867.30

Amount = $49,300+$12,867.30

Amount = $62,167.3

Hence leroys profits after nine years is $62,167.3

Answer:

she feels it 6 times

Step-by-step explanation:

3/5=6/10

so she feels it 6 times

Answer:

90

Step-by-step explanation:

The word perpendicular means there is a right angle that is 90°

Answer:

25

Step-by-step explanation:

x^2 – 10x = 7

Take the coefficient of x

-10

Divide by 2

-10/2 = 5

Square it

5^2 = 25

Add this to both sides

x^2 – 10x+25 = 7+25

The 'b' value of the given expression is -8. The solution has been obtained by using quadratic equation.

What is a quadratic equation?

Any algebraic equation that can be expressed in standard form as where x represents an unknown value and where a, b, and c represent known values, where a 0 is a quadratic equation.

We are given an expression as 16\(x^{2}\) - 8x - 24.

Since, it is a quadratic equation, so it will form a parabola.

We know that the general form of a quadratic equation is

y = a\(x^{2}\) + bx + c.

Now, on comparing the given expression with the general form, we get

a = 16

b = -8

c = -24

Hence, the 'b' value of the given expression is -8.

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Answer:

Step-by-step explanation:

You want to rewrite f(x) and differentiate it for f(x) = 6·ln(8/x).

The log of a ratio is the difference of logs:

  ln(a/b) = ln(a) -ln(b)

Using this to rewrite f(x), we have ...

  f(x) = 6ln(8/x) = 6(ln(8) -ln(x))

  f(x) = 6·ln(8) -6·ln(x)

The derivative of the constant is zero, so ...

  f'(x) = -6/x

The values of x and y that satisfy the system of equations are x = 8 and y = 4.

To solve for the values of x and y in the system of equations:

x + y = 12

2x + 5y = 36

We can use the method of substitution. Solving the first equation for x, we get:

x = 12 - y

We can substitute this expression for x into the second equation and solve for y:

2(12 - y) + 5y = 36

24 - 2y + 5y = 36

3y = 12

y = 4

Now that we know y is 4, we can substitute this value back into the first equation and solve for x:

x + 4 = 12

x = 8

Therefore, the values of x and y that satisfy the system of equations are x = 8 and y = 4.

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For you to make 5 pecan pies, it would be necessary to buy 1.9 pounds of pecans.

Based on the information displayed on the label 1 cup of pecans is equal to 99 grams.

We know 1 pecan pie requires  1 3/4 cups or 1.75 cups (3/4 = 0.75)

1.75 x 5 = 8.75 cups in total

Now, let's calculate this in grams:

8.75 x 99 = 866.22 grams

Finally, let's calculate the pounds

1 pound = 453

 x           = 866.22

x = 866.22 / 453 = 1.9

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Total of 3/5 can of black beans and  pinto beans used in preparing the chili by Ronald.

An element of a whole is a fraction. The number is represented mathematically as a quotient, where the numerator and denominator are split. Both are integers in a simple fraction. A fraction appears in the numerator either denominator of a complex fraction.

Fraction of beans used by Ronald to make chili.

black beans = 1/2  can

pinto beans = 7/10 can

Thus,

total beans = 1/2  can + 7/10 can

total beans = (1/2 + 7/10) can

Simplifying:

total beans = (5*1 + 7)/ 2*10  can

total beans = 12/20 can

total beans = 3/5 can

Thus, total of 3/5 can of black beans and  pinto beans used in preparing the chili by Ronald.

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The equation of the line containing the paints A and B is y = -1/3x + 4

from the question, we have the following parameters that can be used in our computation:

The graph

Where, we have

(6, 2) and (0, 4)

A linear equation is represented as

y = mx + c

Where

c = y when x = 0

So, we have

y = mx + 4

Using the other points, we have

6m + 4 = 2

So, we have

6m = -2

Evaluate

m = -1/3

So, we have

y = -1/3x + 4

As an equation, we have

y = -1/3x + 4

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Answer:

-1 1/3 - Proper Fraction

-4/3 - Improper Fraction

Step-by-step explanation:

(10,6) (7,10)

 m = \(\frac{rise}{run}\)

your "equation" should look like this: \(\frac{10-6}{7-10} =\frac{4}{-3} = -1\frac{1}{3}\)

I hope this helped!!!!