Edwin graphs the relationship of the gallons of milk he buys in terms of dollars.



Sam buys milk from a different shop. He writes an equation for the amount he spends on milk, p = 3.4g, where p is the cost and g is the gallons of milk bought. Who buys milk at a lower rate, and what is the price?

A.
Sam buys milk at a lower rate, $3.50 per gallon.
B.
Edwin buys milk at a lower rate, $3.50 per gallon.
C.
Sam buys milk at a lower rate, $3.40 per gallon.
D.
Edwin buys milk at a lower rate, $3.40 per gallon.

Answer:

v= 1/6

Step-by-step explanation:

1. Simiplify 10/3v = 10/3v -5/9= -10v/3

2. Multiply both sides by 3

3. Use this rule : a/b × c = ac/b

4. 5× 3= 15 -15/9= -10v

5. Simiplify 15/9 = 5/3 -5/3 = -10v

6. Divide both side by -10 -5/3/-10=v

7. Two negative make a postive 5/3/10 = v

8. Simplify 5/3/10= 5/3×10

9. Simplify 3×10=30 5/30=v

10. Simplify 5/30 = 1/6v

11. Swith sides v= 1/6

Answer:

The zeros of the quadratic function f(x) = 6x² + 12x-7 are x = -1±√(12+24)/(2*6) = -1±√(36/12) = -1±√3

Step-by-step explanation:

A quadratic function is a polynomial function of the form f(x) = ax² + bx + c, where a, b, and c are constants and a is not equal to 0. The zeros of a quadratic function are the values of x that make the function equal to zero. To find the zeros of f(x) = 6x² + 12x - 7, we can set the function equal to zero and solve for x.

f(x) = 6x² + 12x - 7 = 0

To solve for x, we can use the quadratic formula:

x = (-b ± √(b² - 4ac)) / (2a)

By substituting the value of a, b and c in the quadratic formula we will get

x = (-12 ± √(12² - 46-7)) / (2*6) = (-12 ± √(144 + 84)) / 12

x = (-12 ± √(228)) / 12

x = (-1 ± √(228))/6 = -1±√(36/12) = -1±√3

So the roots of the equation is x = -1±√3

Answer:

Please answer my questions you'll get points

Answer:

The smaller angle is 39, the other is 51

Step-by-step explanation:

The correct answer is B. The sample represents a proportion of the population.

A point estimate is a single value used to estimate a population's unknown parameter. The sample proportion (denoted by p), in the context of determining the population proportion, is a widely used point estimate. The sample proportion is determined by dividing the sample's success rate by the sample size.

The sample must be representative of the population for it to be a reliable point estimate of the population proportion. To accurately reflect the proportions of various groups or categories present in the population, the sample should be chosen at random.

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Answer:

4.2.1)  R140 000

4.2.2)  R144 758.28

4.2.3)  Option 2

Step-by-step explanation:

To calculate the return on Ayanda's investment using Option 1, we can use the simple interest formula.

\(\boxed{\begin{minipage}{7 cm}\underline{Simple Interest Formula}\\\\$ I =Prt$\\\\where:\\\\ \phantom{ww}$\bullet$ $I =$ interest accrued \\ \phantom{ww}$\bullet$ $P =$ principal amount \\ \phantom{ww}$\bullet$ $r =$ interest rate (in decimal form) \\ \phantom{ww}$\bullet$ $t =$ time (in years) \\ \end{minipage}}\)

Given values:

Substitute the given values into the formula and solve for I:

\(I=200000 \cdot 0.12 \cdot 6\)

\(I=24000 \cdot 6\)

\(I=144000\)

Therefore, the return on Ayanda's investment using Option 1 is R144000.

\(\hrulefill\)

To calculate the return on Ayanda's investment using Option 2, we can use the compound interest formula.

\(\boxed{\begin{minipage}{7 cm}\underline{Annual Compound Interest Formula}\\\\$ I=P\left(1+r\right)^{t}-P$\\\\where:\\\\ \phantom{ww}$\bullet$ $I =$ interest accrued \\ \phantom{ww}$\bullet$ $P =$ principal amount \\ \phantom{ww}$\bullet$ $r =$ interest rate (in decimal form) \\ \phantom{ww}$\bullet$ $t =$ time (in years) \\ \end{minipage}}\)

Given values:

Substitute the given values into the formula and solve for I:

\(I=200000(1+0.095)^6-200000\)

\(I=200000(1.095)^6-200000\)

\(I=200000(1.72379142...)-200000\)

\(I=344758.28426...-200000\)

\(I=144758.28426...\)

\(I=144758.28\)

Therefore, the return on Ayanda's investment using Option 2 is R144758.28.

\(\hrulefill\)

Comparing the returns from both options, we find that Option 1 offers a return of R144000, while Option 2 offers a return of R144758.28. As R144758.28 > R144000, then Option 2 will render the most money for Ayanda's investment.

Answer:

6.24

Step-by-step explanation:

41.63-4.19=37.44

37.44÷6=6.24

Answer:

B is correct

Step-by-step explanation:

I took the flvs test

The action to make both side balanced

Take away 5 blocks from the left side.

In science, if an object is still, we say it is balanced. An object is in an equilibrium state when it is balanced. Any forces acting on the object are counterbalanced by forces moving the other way. The average location of the gravitational pull on an object is known as the centre of gravity.

We have the figure.

On right side there are total 8 weights.

and, on left there are total 3 weights.

So, the difference of blocks on

= 8- 3

= 5 blocks

So, take away 5 blocks from left.

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Answer: 260(0.962)^8

Step-by-step explanation:

Pretty simple. We have a base of 260, which all of the answers include. Then for a decay rate of 3.8, we reduce to percentage form ( 0.038 ) and subtract that from 1 ( or 100 in standard form ). Then we get 0.962. We choose the second option because it includes both these terms and 8 ( which I'm assuming is an exponent )

The value that will be in the blank would be = 165

The percentage that will like to run that prefer summer = 60%

On the given table, the total amount of individuals in each column should be the same.

Therefore, for the bike column = 231 + 87 = 318

Therefore the number of people that will like to home and also prefer the winter weather would be = 318-153 = 165.

To find the percentage that will like to run that prefers summer, the following is carried out;

The number of people that will like to run = 231

The number of people that will like to bike = 153

Total = 153+231 = 384

Therefore percent = 231/384×100/1

= 23100/384

= 60%

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1. The x - intercepts of the parabola are

2. The meaning of the x-intercepts are the plane takes of at x = 2.5 s and lands at x = 7.5 s

3. The vertex of the parabola is at (5, 80).

A parabola is a curved shape

1. Given the parabola above, to find the x - intercepts, we proceed as follows.

The x-intercepts are the points at which the graph cuts the x-axis.

They are

2. The meaning of the x-intercepts in this problem are the points where the plane takes off and lands on the ground.

The plane takes of at x = 2.5 s and lands at x = 7.5 s

3. The vertex is the maximum point on the graph.

So, we see that the vertex is at x = 5 s and y = 80 ft

So, the vertex is at (5, 80).

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The statement that best explains the inverse variation model is (b) an inverse function is the best model because the products of corresponding x- and y-values are equal.

A relation is a function if it has only One y-value for each x-value.

An inverse model is represented as:

k = xy

This means that the product of the x and y values must be constant.

From the dataset, we have:

2 × 30 = 3×20 = 4×15 = 5 × 12 = 6 × 10 = 60

This means that the products of corresponding x- and y-values are equal.

Hence, the true statement is (b)

Hence, the statement that best explains the inverse variation model is (b) an inverse function is the best model because the products of corresponding x- and y-values are equal.

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Complete Question

Myra uses an inverse variation function to model the data for the ordered pairs below. (2, 30), (3, 20), (4, 15), (5, 12), (6, 10) Which statement best explains whether an inverse variation function is the best model for the data?

An inverse function is the best model because as x increases, y decreases.An inverse function is the best model because the products of corresponding x- and y-values are equal.An inverse variation function is not the best model because data points are closer to forming a straight line.

An inverse variation function is not the best model because the data points show an exponential decay.

Answer: A. -sqrt (3)/2, 1/2

To get from radians to degrees, you replace the pi symbol with 180° and solve

So, (5 • 180) / 6 = 150°

150° makes a 30° angle, as the nearest x axis is the negative x axis at 180°.

As we know, a 30°, 60°, 90° triangle has sides sqrt(3)/2 and 1/2.

Since the 30° angle is on the x axis, sqrt(3)/2 will be the x value and 1/2 will be the y value. And since the triangle is in the negative x, positive y quadrant, 1/2 will be positive and sqrt(3)/2 will be negative. Giving you (-sqrt(3)/2, 1/2)

Answer:

y > 0

Step-by-step explanation:

\(y = e^{4x}\)

This is an exponential function;

Consider as x → ∞, y → ∞;

If x = 0. y = e⁰ = 1;

As x → -∞, y → 0;

y ranges from 0 to ∞ therefore, i.e. y > 0

Answer:

For the function y = √4-x, we know that the value inside the square root must be non-negative. Therefore, we have the inequality:

4 - x ≥ 0

Solving for x, we get:

x ≤ 4

So the domain of the function is all real numbers less than or equal to 4.

For the range, we know that the square root of any non-negative number is always non-negative. Therefore, the smallest value that y can take is 0, which occurs when x = 4. As x decreases, y increases without bound. So the range of the function is [0,∞).

Step-by-step explanation:

We can see here that the statement that best describes the zeros of the function h(x) = (x – 6)(x² + 8x + 16) is: C. The function has one real zero and two complex zeros.

In mathematics, a function is a special type of relation. A relation is a set of ordered pairs, where each ordered pair consists of two elements.

To determine the zeros of the function h(x) = (x - 6)(x^2 + 8x + 16),

we can set the function equal to zero and solve for x.

Setting h(x) = 0, we have:

(x - 6)(x^2 + 8x + 16) = 0

Setting x - 6 = 0, we find:

x = 6

Setting x^2 + 8x + 16 = 0,

we can attempt to factor or use the quadratic formula.

Therefore, the function:

h(x) = (x - 6)(x^2 + 8x + 16) has one real zero (x = 6) and two complex zeros.

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As a result, $17.55 should be chosen as the selling price to sell 480,000 units for a profit of $1,500,000.

We must add the desired net profit of $1,500,000 to the total cost of producing the 480,000 units to determine the selling price.

You can determine the overall cost as follows:

Total cost equals fixed costs plus. (Variable costs per unit x Number of units)

Total expense equals $984,000 plus ($14.50 x 480,000)

Cost in total is $7,224,000.

To reach a net profit of $1,500,000, we must add the following sum to the whole expense:

Selling price is calculated as Total Cost + Desired Net Profit / Units Sold.

($7,224,000 + $1,500,000) / 480,000 = selling price

Price to Sell: $17.55

As a result, $17.55 should be chosen as the selling price to sell 480,000 units for a profit of $1,500,000.

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Answer:

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

To determine the selling price, we first need to calculate the total  variable cost:

Now calculate the required revenue:

Find the required selling price per unit:

Answer:

Since the order of choice matters, we will permute the values.                       a bit more explanation for this:

If the order of choice did NOT matter, ABC and BCA will be counted as one since order of choice does NOT matter

Since order of choice does matter, ABC , BCA and CAB are all different possibilities for the arrangement of the same 3 letters

Since we have 3 slots:

___  ___ ___

Now, for the first slot. You can out either one if the 4 alphabets in the first slot since no slot has been used as of now

So:

_4_ ___ ___

**Keep in mind that the 4 is the possible number of values this slot can have**

Now that one slot has been used, one of the 4 alphabets has been used and since we are not allowed to repeat the same alphabets, we are left with  3 more alphabets

we can put any one of the 3 alphabets in this second slot, Hence:

_4_ _3_ ___

Now that 2 of the 4 alphabets have been used, we are left with only 2 alphabets, so there are only 2 possible alphabets for slot 3

Therefore:

_4_ _3_ _2_

Now that we know the possible alphabets for all 3 slots, we will multiply them with each other to get the total possible number of 3 - alphabet words we can make with 4 alphabets

Total possible words = 4 * 3 * 2

Total possible words = 24

We could've used the formula for Permutation as well

Answer: See image

Step-by-step explanation:

The bases are 5cm times 3cm, meaning that 2 parallel sides have to be 5cm by 3cm, 2 other parallel sides have to 2cm by 3cm, and the 2 other parallel sides have to be 5cm by 2cm.

The dimensions of the room are approximately 7 meters by 10.5 meters.

In Mathematics, dimensions are referred to as measures of size such as length, width, and height of an object or a shape. A rectangle has length and width as its dimensions that define the area of a rectangle.

Let's start by using algebra to represent the information given in the problem. Let x be the width of the rectangular room, then the length is 1.5 times the width or 1.5x.

The perimeter of a rectangle is the sum of the lengths of all its sides, which can be expressed as:

\(\text{Perimeter} = 2(\text{length} + \text{width})\)

Substituting the values we have for length and width, we get:

\(\rightarrow35 = 2(1.5\text{x} + \text{x})\)

Simplifying the equation, we get:

\(\rightarrow35 = 2(2.5\text{x})\)

\(\rightarrow35 = 5\text{x}\)

\(\rightarrow\text{x}=\dfrac{35}{5}\)

\(\rightarrow\bold{x\thickapprox7}\)

So the width of the room is 7 meters.

To find the length, we can substitute x into the expression we have for the length:

\(\rightarrow\text{Length} = 1.5\text{x}\)

\(\rightarrow\text{Length} = 1.5(7)\)

\(\rightarrow\bold{Length=10.5}\)

So the length of the room is 10.5 meters.

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Answer:

Step-by-step explanation:

xy = 180° = a + b + c

180 = 21 + b + 33

180 - 21 - 33 = b

b = 126°

Solution

9 (a) Using product rule

The product rule formula is quoted below

9(b) Verifying the resuts of 9(a) by bexpanding the product first and subsequently differentiating

In conclusion , we observe that the results of the derivatives are the same irrespective of the approach used as shown in 9(a) and 9(b) above

F and G are inverse if both of them satisfy the condition h(x)=x. f(g(x))=g(f(x))=x, as we discovered. The argument f(x) and g(x) are inverse functions is thus established.

If f (x) and g (x) are inverse functions, it can be determined using one of two ways. For more information, see the explanation.

Explanation:

Instance 1

Inverse functions of both functions can be found using the first method.

Example.

Inverse of f (x) = x + 7 is what we're looking for.

We attempt to determine x using the equation y = x + 7.

y = x + 7

Inferring that g (x) is the inverse of f (x) from the fact that x = y 7

Finding g (x inverse )'s is now necessary.

g( x ) = x − 7

y = x − 7

x = y + 7

As a result, we discovered that f (x) is the inverse function of g (x).

f and g are equal if g is inverse of f and vice versa.

The second approach entails locating the compound functions f ( g ( x ) ) and g ( f ( x ) ). In this case, f and g are inverse if they are both h (x ) = x.

Example:

f ( g ( x ) =  [ x − 7 ] + 7

G ( x ) placed as x is the expression in brackets.

f ( g ( x ) ) = x − 7  + 7 = x

g (f ( x ) =  [ x + 7 ] − 7

f ( x ) inserted as x is the expression in brackets.

g ( f ( x ) ) = x + 7 − 7 = x

The equation f ( g ( x ) ) = g ( f ( x ) ) = x was what we discovered. The argument f (x) and g (x) are inverse functions is thus established.

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Answer:

Below

Step-by-step explanation:

32/2 x 100% = 1600 %

Answer:

A map has a scale of 1 inch:18 km, three distances on the map are listed in the chart below drag an actual distance into each box to match the corresponding distance on the map

Step-by-step explanation:

1-18

Area of a rectangle = length x width

A = 9 (3x-8)

A = 9(3x) + 9(-8)

A= 27x - 72

Answer:

7x-11

Step-by-step explanation:

Answer:

7x-11=

X= 11/7

Step-by-step explanation:

This function written in vertex form include the following: A. f(x) = (x –1)² – 7.

In Mathematics, the axis of symmetry of a quadratic function can be calculated by using this mathematical equation:

Axis of symmetry = -b/2a

Where:

a and b represents the coefficients of the first and second term in the quadratic function.

For the given quadratic function f(x) = x² – 2x – 6, we have:

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

Axis of symmetry, Xmax = -b/2a

Axis of symmetry, Xmax = -(-2)/2(1)

Axis of symmetry, Xmax = 2/2

Axis of symmetry, Xmax = 1.

Next, we would determine vertex as follows;

f(x) = x² – 2x – 6

f(x) = 1² – 2(1) – 6

f(x) = -7.

Now, we can write quadratic function in vertex form;

f(x) = a(x - h)² + k

f(x) = (x - 1)² - 7

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Complete Question:

The image shows a geometric representation of the function f(x) = x² – 2x – 6 written in standard form.

What is this function written in vertex form?

f(x) = (x –1)² – 7

f(x) = (x +1)² – 7

f(x) = (x –1)² – 5

f(x) = (x +1)² – 5