Translate the English phrase into an algebraic expression: the sum of 3x2y and 7xy2

The correct answer is (j - k)(x) = 10 + x.

To find the difference in the amount of money between Joel's and Kevin's accounts, we subtract the value of Kevin's account (k(x)) from Joel's account (j(x)).

(j - k)(x) = (25 + 3x) - (15 + 2x)

            = 25 - 15 + 3x - 2x

            = 10 + x

This expression represents how much more money is in Joel's account compared to Kevin's account after x weeks.

Therefore, the correct function is (j - k)(x) = 10 + x.

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Answer:

irrational

Step-by-step explanation:

Since π is an irrational number, it would make 3π/9 an irrational number too since multiplying or dividing by pi makes the answer an irrational number.

Answer:ggStep-by-step explanation:

Answer:

192%

Step-by-step explanation:

355+50=405

405•100/210=192.857%

increse of 192.857%

Answer:

10 to the power 2 is the correct answer

Explanation:

10 to power 2= 10X10

10x10=100

hope this helps!

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have a great day ahead!

Answer:

Step-by-step explanation:

100

= 10 × 10

(Since 10 is multiplied 2 times so it will have a power of 2)

\( = {10}^{2} \)

Answer:

Step-by-step explanation:

The given equation is:

f(x) = 3 - 48x + 4x²      [5,7]

where; f(x) is continous and derivable in [5,7]

f'(x) = -48x + 8x

f(5) = 3 - 48(5) + 4(5)² = -137

f(7) = 3 - 48(7) + 4(7)² = -137

Thus, it satisfies the hypotheses of Rolle's Theorem

f'(x) = f'(c) = 0

-48 + 8c = 0

c =48/8

c = 6

Answer:

slope intercept: y=mx+b

m=slope

b=y intercept

y= -12x+1/2

Step-by-step explanation:

Answer:

y = -12x + 1/2

Step-bystep explanation:

Slope (m) = -12

y-intercept (c) = 1/2

Slope- intercept form:

y = mx + c

y = -12x + 1/2

Answer:

range={19, 11, -13}

Step-by-step explanation:

The range is what you get when you plug in the number. In this case, the range is the y values.

y=7-4(-3)=7+12=19

y=7-4(-1)=7+4=11

y=7-5(5)=7-25=-13

Answer:

If the broker Josef employed to purchase these stocks and bonds charges a commission of $72 for each ten shares of stock bought or sold and a commission of 4% of the market value of each bond bought or sold, then the bonds have a yield 1.35 percentage points higher than that of the stocks.

Step-by-step explanation:

Each function on the left should be matched to all points on the right that would be located on the graph of the function as follows;

f(x) = 2x + 2         ⇒   (0, 2).

f(x) = 2x² - 2        ⇒   (-1, 0).

\(f(x) = 2\sqrt{x+1}\)   ⇒   (0, 2).

In Mathematics and Geometry, a function is a mathematical equation which defines and represents the relationship that exists between two or more variables such as an ordered pair in tables or relations.

Next, we would determine the point or ordered pair that represent a solution on the graph of each of the function as follows;

For the ordered pair (0, 2), we have:

f(x) = 2x + 2

2 = 2(0) + 2

2 = 2 (True).

For the ordered pair (-1, 0), we have:

f(x) = 2x² - 2

0 = 2(-1)² - 2

0 = 2 - 2

0 = 0 (True).

For the ordered pair (0, 2), we have:

\(f(x) = 2\sqrt{x+1}\\\\2= 2\sqrt{0+1}\\\\2 = 2\sqrt{1}\)

2 = 2 (True).

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Answer:

The values of b that satisfy the equation are:

b = (2√3 - 3) / 2

b = (-2√3 - 3) / 2

In other words, b can take the values (2√3 - 3) / 2 or (-2√3 - 3) / 2.

Step-by-step explanation:

To find the values of b that satisfy the equation 3(2b + 3)² = 36, we can solve for b by following these steps:

1. Divide both sides of the equation by 3:

  (2b + 3)² = 12

2. Take the square root of both sides:

  √[(2b + 3)²] = √12

  Simplifying further:

  2b + 3 = ±√12

3. Subtract 3 from both sides:

  2b = ±√12 - 3

4. Divide both sides by 2:

  b = (±√12 - 3) / 2

  Simplifying further:

  b = (±√4 * √3 - 3) / 2

  b = (±2√3 - 3) / 2

Therefore, the values of b that satisfy the equation are:

b = (2√3 - 3) / 2

b = (-2√3 - 3) / 2

In other words, b can take the values (2√3 - 3) / 2 or (-2√3 - 3) / 2.

The inequality of each model cutting, sewing finishing packaging and shipping profit

The maximum value = 5x + 8y

1R + 3/2 C ≤ 900

1/2 R + 1/3 C ≤ 300

1/8 R + 1/4 C ≤ 100

R, C ≥ 0

Consider x be the number of regular model of gloves to be produced

y be the catcher’s model of gloves to be produced

The maximum value = 5x + 8y

Then the inequality will be

The inequality of Cutting and Sewing

1R + 3/2 C ≤ 900

The inequality of Finishing

1/2 R + 1/3 C ≤ 300

The inequality of Packaging and Shipping

1/8 R + 1/4 C ≤ 100

R, C ≥ 0

Therefore, the inequality of each model cutting, sewing finishing packaging and shipping profit has been found

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The y-intercepts are the values of y such that f(y) = 0, solving that we will get:

y-intercepts: -6.93, 6.93.

Here we have a function that depends of y, and we want to find the y-intercepts.

The function is:

f(y) = 5*y^2 - 240

The y-intercepts are the values of y such that the function becomes zero, so we need to solve:

0 = 5*y^2 - 240

240 = 5*y^2

240/5 = y^2

48 = y^2

Now we apply the square root in both sides to get:

±√48 = y

±6.93 = y

So the two y-intercepts are:

y = 6.93

y = -6.93

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Answer:

1.37+1.37+1.88+1.88= 6.5

6.5/2.3=2.8packages. approximately 3

Answer: \(\frac{5\pi}{3}\)

Step-by-step explanation:

\(A=(\sqrt{20})^{2}(\pi)\left(\frac{30}{360} \right)=\boxed{\frac{5\pi}{3}}\)

Relative interest refers to the comparison of interest rates between different financial instruments or investment opportunities. It allows individuals or investors to assess and evaluate the attractiveness of various options based on their potential returns.

1. Understand the basic concept: Interest is the cost of borrowing money or the return earned on invested funds. Relative interest involves comparing the interest rates of different financial instruments or investments to determine which one offers a more favorable return.

2. Identify the investment options: Start by identifying the different investment opportunities or financial instruments available. These can include savings accounts, certificates of deposit (CDs), bonds, stocks, or other investment vehicles.

3. Research interest rates: Research and gather information about the current interest rates offered by each investment option. This information can usually be found on financial websites, through financial institutions, or by consulting with a financial advisor.

4. Compare interest rates: Once you have the interest rates for each investment option, compare them side by side. Look for the differences in rates and identify which options offer higher or lower returns.

5. Assess risk and return: Consider the level of risk associated with each investment option. Higher returns often come with higher risk, so it's essential to evaluate the risk-reward tradeoff.

6. Make an informed decision: Based on the comparison of interest rates and the risk-reward assessment, make an informed decision on which investment option aligns with your financial goals and risk tolerance.

Always remember to consider your financial goals, risk tolerance, and consult with a financial advisor if needed.

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Answer:

The probability that at least one of the children get the disease from their mother is 0.7125.

Step-by-step explanation:

We are given that a human gene carries a certain disease from the mother to the child with a probability rate of 34%.

Suppose a female carrier of the gene has three children. Assume that the infections of the three children are independent of one another.

Let Probability that children get the disease from their mother = P(A) = 0.34

SO, Complement of the event "At least one of the children get the disease from their mother"= P(A') = 1 - P(A)

where A' = event that children do not get the disease from mother.

So, P(A') = 1 - P(A) = 1 - 0.34 = 0.66

Now, probability that at least one of the children get the disease from their mother = 1 - Probability that none of the three children get disease from their mother

                     = 1 - P(X = 0)

                     = 1 - (0.66 \(\times\) 0.66 \(\times\) 0.66)

                     = 1 - 0.2875 = 0.7125

To find the fraction of pocket money left after spending on transport and fruit, we need to subtract the amount spent from the total pocket money and express it as a fraction.

The student spends 18 out of 35 of his pocket money, which means he has (35 - 18) = 17 units of his pocket money left.

Therefore, the fraction of pocket money left can be written as 17/35.

Answer:

Yes, the triangles are SIMILAR, not exact.

Step-by-step explanation:

None.

Answer:

yes

no

no

yes

Step-by-step explanation:

The translation form of each shape is given as follows:

a) X to Z: (x, y) -> (x + 5, y + 2).

b) Z to X: (x, y) -> (x - 5, y - 2).

The four translation rules are defined as follows:

For the composition of translations, we add the coordinates, hence:

Hence the rule from X to Z is given as follows:

(x, y) -> (x + 5, y + 2).

From Z to X, we have the inverse rule, hence:

(x, y) -> (x - 5, y - 2).

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Answer:

Step-by-step explanation:

12% of 85 =x                Change the % to a fraction

12/100 * 85 =  x            Divide 100 into 85

12 * 0.85 = x                 Multiply by 12

10.2 = x

The Solution:

Given:

A sphere of diameter 11.6cm.

We are required to find surface area of the sphere, rounded to the nearest tenth.

The formula for the surface area of a sphere is:

In this case:

So, the surface area is:

Therefore, the correct answer is 422.5 square centimeters.

From the box plot:

a) The minimum price is $11

b) The maximum price is $25

c) The first quartile is $14

d) The third quartile is $20

e) The median is $16

f) 75% of the DVDs cost at least $14

g) The cheapest 25% of DVDs cost between $11 and $14

Answer:

D. -5

Step-by-step explanation:

The x-intercept is the point at which the graph crosses the x-axis.

The right choice is (C) 91. The correlation between the variables x and y is significant.

Using a regression line, it is possible to predict a student's score if they study seven hours.

A regression line usually looks like this:

y = α + βx

In this case, Y is the dependent variable, and X is the independent variable.

The equation for regression is:

y = 56.114 + 5.044 x

Determine the value of y as follows for x = 7:

y = 56.114 + 5.044 x

= 56.114 + (5.044 * 7)

= 91.422

≈ 91

Consequently, a student who studied for seven hours received a score of 91.

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Full Question = The data below are the final exam scores of 10 randomly selected statistics students and the number of hours they studied for the exam. What is the best predicted value for y given x = 7? Assume that the variables x and y have a significant correlation.

Hours, x 3 5 2 8 2 4 4 5 6 3

Scores, y 65 80 60 88 66 78 85 90 90 71

Choose one answer.

A. 89

B. 90

C. 91

D. 92

Hello!

3x + 4 = 1

3x + 4 - 4 = 1 - 4

3x = -3

3x/3 = -3/3

x = -1

The solution of the equation 3x + 4 = 1 is -1.

The answer is:

C) x = -1

Work/explanation:

To solve this equation, I subtract 4 from each side:

\(\sf{3x+4=1}\)

Subtract :

\(\sf{3x=-3}\)

Divide each side by 3:

\(\sf{x=-1}\)

Hence, C is correct.

Answer:

6 pounds and 15 ounces

Step-by-step explanation:

hope this helps! i can't rly explain it. it's just converting measurements

Answer:

6.5 yards of cord were bought

Step-by-step explanation:

234/36=6.5