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Answer:

The maximum profit the florist will earn from selling celebration bouquets is $725.

The florist will break-even after one-dollar decreases when her profit is zero. From the graph, this occurs at x = 10. So the florist will break-even after 10 one-dollar decreases.

The interval of the number of one-dollar decreases for which the florist makes a profit from celebration bouquets is (0, 10). This is because the profit is positive for values of x between 0 and 10, and becomes negative after 10.

Step-by-step explanation:

The equation that represent the given situation is y = 15x + 70

When she plants 3 stalks, each plant yields 115 ounces of beans

The first point = (3, 115)

When she plants 8 stalks, each plant yields 190 ounces of beans

The second point = (8, 190)

The slope of the line m = \(\frac{y_2-y_1}{x_2-x_1}\)

Substitute the values in the equation

The slope of the line m = (190-115) / (8-3)

= 75/5

= 15

The point slope form is

\(y-y_1=m(x-x_1)\)

Choose one point and substitute the values in the equation

y - 115 = 15(x - 3)

y - 115 = 15x - 45

y = 15x - 45 + 115

y = 15x + 70

Hence, the equation that represent the given situation is y = 15x + 70

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The solution to the system of equations is (x, y) = (-261/47, 44/47) as an ordered pair.

To solve the given system of equations:

Equation 1: 8x + 9y = -36

Equation 2: x + 7y = 1

We can use the method of substitution or elimination to find the values of x and y. Let's use the method of substitution:

From Equation 2, we can solve for x:

x = 1 - 7y

Substituting this value of x into Equation 1:

8(1 - 7y) + 9y = -36

8 - 56y + 9y = -36

-47y = -44

y = 44/47

Substituting the value of y back into Equation 2 to find x:

x + 7(44/47) = 1

x + 308/47 = 1

x = 1 - 308/47

x = (47 - 308)/47

x = -261/47

Therefore, as an ordered pair, the solution to the system of equations is (x, y) = (-261/47, 44/47).

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Answer:

0%=0, 100%=172

Step-by-step explanation:

The polynomial in standard form is:

F(x) = 2x³ - x² + 5x - 3

Option B is the correct answer.

Polynomial is an equation written as the sum of terms of the form kx^n.

where k and n are positive integers.

We have,

The standard form of a polynomial is ax³ + bx² + cx + d.

A.

F(x) = -3 - x² + 2x³ + 5x

This is not in standard form.

B.

F(x) = 2x³ - x² + 5x - 3

This is in standard form.

C.

F(x) = -3 + 5x - x² + 2x³

This is not in standard form.

D.

F(x) = 5x + 2x³ - x² - 3

This is not in standard form.

Thus,

F(x) = 2x³ - x² + 5x - 3 is in the standard form.

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Answer:

Hope this can help........

Answer: D.

Step-by-step explanation:

Move all terms not containing x from the center section of the inequality.

Inequality Form:

4<x≤10

It is an and statement, therefor it couldn't be the first or second one, because they are or statements.

Answer:

Step-by-step explanation:

Answer:

The correct option is (d).

Step-by-step explanation:

The complete question is:

The random variable x represents the number of computers that families have along with the corresponding probabilities. Use the probability distribution table below to find the mean and standard deviation for the random variable x.

    x :    0          1          2           3         4

p (x) : 0.49     0.05    0.32     0.07    0.07

(a) The mean is 1.39 The standard deviation is 0.80

(b) The mean is 1.39 The standard deviation is 0.64

(c)The mean is 1.18 The standard deviation is 0.64

(d) The mean is 1.18 The standard deviation is 1.30

Solution:

The formula to compute the mean is:

\(\text{Mean}=\sum x\cdot p(x)\)

Compute the mean as follows:

\(\text{Mean}=\sum x\cdot p(x)\)

         \(=(0\times 0.49)+(1\times 0.05)+(2\times 0.32)+(3\times 0.07)+(4\times 0.07)\\\\=0+0.05+0.64+0.21+0.28\\\\=1.18\)

The mean of the random variable x is 1.18.

The formula to compute variance is:

\(\text{Variance}=E(X^{2})-[E(X)]^{2}\)

Compute the value of E (X²) as follows:

\(E(X^{2})=\sum x^{2}\cdot p(x)\)

          \(=(0^{2}\times 0.49)+(1^{2}\times 0.05)+(2^{2}\times 0.32)+(3^{2}\times 0.07)+(4^{2}\times 0.07)\\\\=0+0.05+1.28+0.63+1.12\\\\=3.08\)

Compute the variance as follows:

\(\text{Variance}=E(X^{2})-[E(X)]^{2}\)

             \(=3.08-(1.18)^{2}\\\\=1.6876\)

Then the standard deviation is:

\(\text{Standard deviation}=\sqrt{\text{Variance}}\)

                              \(=\sqrt{1.6876}\\\\=1.2990766\\\\\approx 1.30\)

Thus, the mean and standard deviation for the random variable x are 1.18 and 1.30 respectively.

The correct option is (d).

Based on the calculations using unit pricing, Toilet paper B has a lower unit price and is the better deal between the two. Customers will save more money if they purchase toilet paper B rather than toilet paper A because the price per mega roll is lower. (option b)

Saving money while shopping is one of the best ways to reduce your expenses and have more disposable income for other things. Unit pricing is a pricing system that displays prices in standard units, allowing customers to compare prices across different brands and package sizes and save money. To determine which toilet paper deal is better, we can use the unit price method, which divides the price by the number of units in the package. The toilet paper with the lower unit price is the better deal.
The formula for unit pricing is as follows:
Unit price = total price ÷ number of units
Using the above formula, we can calculate the unit price of toilet paper A and toilet paper B as follows:
For Toilet paper A:
Unit price = $4.59 ÷ 6 mega rolls
Unit price = $0.765 per mega roll
For Toilet paper B:
Unit price = $9.02 ÷ 12 mega rolls
Unit price = $0.751 per mega roll
Therefore, based on the calculations, Toilet paper B has a lower unit price and is the better deal between the two. Customers will save more money if they purchase toilet paper B rather than toilet paper A because the price per mega roll is lower. (option b)
Unit pricing is a great way to compare prices, and consumers should always use it to determine the better deal between two products, as this will help them save money and stick to their budget.

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Given:

\(f(x)=3x^2-5x-2\); find f(-2/3)

Answer:

\(f(-\frac{2}{3} )=\frac{8}{3}\)

Step-by-step explanation:

1. Insert \(-\frac{2}{3} \\\) as X; \(f(-\frac{2}{3}) = 3 (-\frac{2}{3} )^2 - 5 (-\frac{2}{3}) - 2\)

2. Solve equation; \(f(-\frac{2}{3} )=\frac{8}{3}\)

The line perpendicular to the equation and has the same y-intercept with another is y = - 4 / 3 x + 4.

The equation of a line can be describe as follows:

y = mx + b

where

Therefore, lines that a perpendicular follows the rule below:

m₁m₂ = -1

Hence,

y + 6 = 3 / 4 (x - 2)

y + 6 = 3 / 4 x - 6 / 4

y =  3 / 4 x - 6 / 4 - 6

y = 3 / 4 x - 30 / 4

y = 3 / 4 x - 15 / 2

Hence,

3 / 4 m₂ = -1

m₂ = - 4 / 3

Therefore,

slope of the line is - 4 / 3

Let's find the y-intercept of the second line

4x + 5y -20 = 0

5y = -4x + 20

y = -4 / 5 x + 4

y-intercept  = 4

Therefore, the line perpendicular to the equation and has the same y-intercept with another is y = - 4 / 3 x + 4.

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Answer:

Given that triangle RSP is a right triangle, then using the Pythagorean Theorem, RP = 5.  (3²+4²=5²)

Plugging the 5 in to triangle RPQ, we find that the Theorem still works for that one, which means it is a right triangle (5²+12²=13²)

Step-by-step explanation:

Given that triangle RSP is a right triangle, then using the Pythagorean Theorem, RP = 5.  (3²+4²=5²)

Plugging the 5 in to triangle RPQ, we find that the Theorem still works for that one, which means it is a right triangle (5²+12²=13²)

Answer:

see explanation

Step-by-step explanation:

Using Pythagoras' identity in Δ PRS

The square on the hypotenuse is equal to the sum of the squares on the other 2 sides, then

PR² = 3² + 4² = 9 + 16 = 25 ( take the square root of both sides )

PR = \(\sqrt{25}\) = 5

Using the converse of Pythagoras in Δ PQR

If the longest side squared is equal to the sum of the squares on the other 2 sides then the triangle is right.

QR² = 13² = 169

PR² + PQ² = 5² + 12² = 25 + 144 = 169

Thus Δ PQR is a right triangle, with right angle at P

Answer:

340

Step-by-step explanation:

Here is the final matching of multiplication expressions with their estimated products:

(80)(30) = 2,400

(30)(6) = 180

(30)(5) = 150

(60)(4) = 240

(50)(30) = 1,500

29.3 x 5.9 ≈ 173

81.4 x 32.1 ≈ 2,618

32.9 x 4.81 ≈ 158

46.7 x 31.7 ≈ 1,479

59.3 x 3.57 ≈ 212

Match each multiplication expression on the left with the best estimate of its product on the right:

(80)(30) = 2,400

(30)(6) = 180

(30)(5) = 150

(60)(4) = 240

(50)(30) = 1,500

29.3 x 5.9

81.4 x 32.1

32.9 x 4.81

46.7 x 31.7

59.3 x 3.57

Matching the expressions with their estimated products:

(80)(30) = 2,400

(30)(6) = 180

(30)(5) = 150

(60)(4) = 240

(50)(30) = 1,500

Estimates for the remaining expressions:

29.3 x 5.9 ≈ 173.27

81.4 x 32.1 ≈ 2,612.94

32.9 x 4.81 ≈ 158.05

46.7 x 31.7 ≈ 1,480.39

59.3 x 3.57 ≈ 211.46

Matching the expressions with their estimated products:

(80)(30) = 2,400

(30)(6) = 180

(30)(5) = 150

(60)(4) = 240

(50)(30) = 1,500

29.3 x 5.9 ≈ 173.27

81.4 x 32.1 ≈ 2,612.94

32.9 x 4.81 ≈ 158.05

46.7 x 31.7 ≈ 1,480.39

59.3 x 3.57 ≈ 211.46

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Answer: The boys ate half a pie more than the girls did (5/10 more).

Step-by-step explanation:

2/5 = 4/10

The difference between 9/10 and 4/10 is 5/10, or one half, so that's your answer.

The value of 3¾ft in yards would be = 1 6/25 yard

A mixed number is the type of number that is made up of three parts such as the whole number, a numerator and a denominator.

To convert to yards;

1 ft = 0.33 yard

3¾ = X yards

make x yards the subject of formula;

X yards = 3¾ × 0.33

X yards = 3.75×0.33

X yards = 1.24 yards

X yards in mixed number= 124/100 = 31/25 = 1 6/25 yard.

Note that the final value which is 124/100 is reduce to the lower figure by dividing through with 4 to arrive at the mixed number 1⁶/25

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The total height of the three jumps is A = 20.744 feet

Given data ,

1st high jump score: 7.016 feet

2nd high jump score: 5.42 feet

3rd high jump score: 8.308 feet

On adding the scores , we get

7.016 + 5.42 + 8.308 = 20.744 feet

On simplifying the equation , we get

A = 20.744 feet

Hence , Oliver jumped a total of 20.744 feet in the three high jumps

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The correct answer is option 4 which is f(x) = 2.9|x| is narrower than the parent function f(x) = |x|

A function is defined as the expression that set up the relationship between the dependent variable and independent variable.

Given parent function is f(x)=|x|

Now we have to find which function from given choices will be narrower than the parent function.

Notice that adding or subtracting some number from the parent function only shifts the graph up, down, and left of the right side.

But that will not make the function narrower or broader.

So f(x) = |x – 2| and f(x) = |x| + 3, can't be the answer.

Multiplying by some positive real number which is more than 1, makes the function narrower.

Only f(x) = 2.9|x| from remaining choices fits that case.

Hence correct answer is option 4 which is f(x) = 2.9|x| is narrower than the parent function f(x) = |x|

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Answer:

D,E

Step-by-step explanation:

Answer:

2.399

Step-by-step explanation:

Given the trigonometry expression:

tan(sin^-1((-12/13))

We are to find the exact value

tan(sin^-1((-12/13)) = tan(sin^-1((-0.9231))

tan(sin^-1((-12/13)) = tan(-67.38)

Also note that tan(-theta) = -tan theta

tan(-theta) = -tan67.38

tan(-67.38) = -2.399

The exact value is 2.399

Answer:

$15.69

Step-by-step explanation:

multiply the retail price by 1.06 to get the price after taxes.

find the discounted price by multiplying the price after taxes(19.61) by 0.8 since it is 20% off to get the answer

The equation of the line in slope - intercept form is -

y = - 5x + 77.

The equation of a straight line in slope - intercept form is -

y = mx + c

{m} - slope.

{c} - intercept along the y - axis.

Given is the equation as -

77 - y = 5x

We have the equation in the slope - intercept form as -

77 - y = 5x

y = 77 - 5x

y = - 5x + 77

Therefore, the equation of the line in slope - intercept form is -

y = - 5x + 77.

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Answer:

2.1

Step-by-step explanation:

Use the equation

Sum of elements = average x number of elements

sum = (6)(4)

sum = 24

Add up the numbers we know: 3.4 + 10.7 + 7.8 = 21.9

24 - 21.9 = 2.1

This means the fourth number is 2.1

Answer:

2.1

Step-by-step explanation:

Let x be the 4th number.  To find the mean add  the 4 numbers and divide by 4

( 3.4 + 10.7+7.8+x) /4 = 6

Multiply each side by 4

( 3.4 + 10.7+7.8+x) /4 *4= 6*4

( 3.4 + 10.7+7.8+x) = 24

Combine like terms

x+21.9=24

Subtract 21.9 from each side

x = 24-21.9

x =2.1

Answer:

a

Step-by-step explanation:

Answer:

$6.84

Step-by-step explanation:

This is quite a simple question, simply add the new deposited amount into the original balance to get your answer.

Answer:

V = 3312 ft^3

Step-by-step explanation:

This figure is formed from a rectangular prism and a square-based pyramid

Given:

h (prism) = 11 ft

a (prism's base) = a (pyramid's base) = 12 × 18 = 216 ft^2

h (pyramid) = 24 - 11 = 13 ft

First, we can find the volume of the prism:

\(v(prism) = a(base) \times h\)

\(v(prism) =216\times 11 = 2376 \: {ft}^{3} \)

Now, let's find the volume of the pyramid:

\(v(pyramid) = \frac{1}{3} \times a(base) \times h\)

\(v(pyramid) = \frac{1}{3} \times 216 \times 13 = 936 \: {ft}^{3} \)

In order to find the total volume of the given figure, we have to add these 2 volumes together:

\(v(total) = 2376 + 936 = 3312 \: {ft}^{3} \)

The angle measure of the angle in the diagram is 62°.

From the question, we are to determine the angle measure of the angle shown in the diagram.

The angle shown is an acute angle.

An acute angle is an angle whose measure is less than 90°.

To determine the measure of the angle, we will read the angle from the side which the angle is closer to zero (0). We will read from 0 to the line that indicates the angle.

Reading the angle:

Reading the angle as explained above, the measure of the angle is 62°

Hence, the angle measure is 62°.

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Answer:

The answer is: 1.2 + -0.4y

Answer: -0.4y + 1.2

Step-by-step explanation:

0.4(y) = 0.4y

0.4(3) = 1.2

0.4y + 1.2 - 0.8y

0.4y - 0.8y = -0.4y

-0.4y + 1.2