Please Factorise 8x - 6
​

Answer: 32

Step-by-step explanation:

48 - 16 is 32

Answer:

  (a)  The mold growth rate of the banana bread was three times the mold growth rate of the whole wheat bread

Step-by-step explanation:

The equation for exponential growth can be written in the form ...

  f(t) = a·b^t

where a is the initial value, and b is the growth factor for time period t. The growth factor is related to the growth rate by ...

  b = 1 +r . . . . . where r is the growth rate in time period t

__

The equation for the area of mold on the banana bread is given as ...

  B(t) = 20·1.06^t

Comparing to our generic equation, we see ...

The growth rate of the mold on the banana bread is given as 0.06 = 6% per week.

__

We are given some values of t and area that we can use to find the growth rate of mold on the whole wheat bread.

  W(1) = 40.8 = a·b^1

  W(4) = 43.30 = a·b^4

The ratio is ...

  W(4)/W(1) = (a·b^4)/(a·b^1) = b^3 = 43.30/40.8

Then the value of b can be found to be ...

  b = ∛(43.30/40.8) ≈ 1.02002 ≈ 1 + 0.02

The growth rate of mold on the whole wheat bread is about 0.02 = 2% per week.

__

The mold growth rate on the banana bread compared to that on the whole wheat bread is ...

  (banana bread growth rate)/(whole wheat bread growth rate) = 6%/2% = 3

We can conclude ...

  The mold growth rate of the banana bread was three times the mold growth rate of the whole wheat bread

The average rate of change of the function f(x) = √(x+4) over the interval 2 ≤ x ≤ 6 is approximately 0.29 to the nearest hundredth.

To find the average rate of change of the function f(x) = √(x+4) over the interval 2 ≤ x ≤ 6, we need to calculate the change in the function divided by the change in the input variable over that interval.

The change in the function between x = 2 and x = 6 is:

f(6) - f(2) = √(6+4) - √(2+4) = √10 - √6

The change in the input variable between x = 2 and x = 6 is:

6 - 2 = 4

So, the average rate of change of the function over the interval 2 ≤ x ≤ 6 is:

(√10 - √6) / 4

To approximate the answer to the nearest hundredth, we can use a calculator or perform long division to get:

(√10 - √6) / 4 ≈ 0.29

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Answer:

4/12

Step-by-step explanation:

Because the bottom numbers are the same just subtract the top numbers:

8/12 -4/12 = 4/12

4/12 can simplify to 1/3

Answer:

A.  x ≥ 60

Step-by-step explanation:

Amount already saved + amount tutoring = at least $2,460

⇒ 840 + 27x ≥ 2,460

⇒ 27x ≥ 1620

⇒ x ≥ 60

Therefore, Sheri has to give at least 60 tutoring sessions.

Option A. The only graph that could represent the function with the zeros of -2 and 4 is the graph is : A parabola declines from (negative 3 point 1, 10) through (negative 3, 8), (negative 2, 0), (negative 1, negative 4), (1, negative) and rises through (2, negative 8), (3, negative 4), (4, 0), (5, negative 6), and (5 point 5, 10).

The zeros of a quadratic function are the x-values where the function equals zero (where it crosses the x-axis). In this case, you mentioned that the zeros of the function are -2 and 4.

Looking at the provided options:

A. This graph crosses the x-axis at (-2, 0) and (4, 0), which are indeed the zeros of the function. Therefore, this could be a possible representation of the function.

B. This graph crosses the x-axis at (-4, 0) and (2, 0). These are not the zeros given for the function (-2 and 4), so this graph is not a possible representation of the function.

C. This graph crosses the x-axis at (-4, 0), but it never crosses at x=4. Instead, it crosses at x=2. Therefore, this is not a possible representation of the function.

D. This graph crosses the x-axis at (2, 0), but does not cross the x-axis at x=-2. Therefore, this is not a possible representation of the function.

So, the only graph that could represent the function with the zeros of -2 and 4 is the graph provided in Option A.

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9514 1404 393

Answer:

  32 dm

Step-by-step explanation:

Use the formula for the area of a triangle, and solve for the unknown.

  A = 1/2bh

  200 dm² = 1/2(12.5 dm)b

  b = (200 dm²)/(6.25 dm) = 32 dm

The base of the triangle is 32 dm.

The unit rate for cost is $0.30 per pound and the unit rate for quantity is 3.33 pounds per dollar

To find the unit rates, we can divide the given values by their corresponding units:

The above means that:

To find out how much hay can be purchased for $1, we can use the unit rate for quantity:

$1 × 3.33 pounds per dollar = 3.33 pounds

Therefore, $1 can purchase 3.33 pounds of hay.

To find out how much 1 pound of hay costs, we can use the unit rate for cost:

$0.30 per pound × 1 pound = $0.30

Therefore, 1 pound of hay costs $0.30.

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The answer is:  4100x  +  21390

We need to know the number of months Marian wants to save to get the specific value.

In the equation, we will need to calculate the maximum amount of money Marian can spend on the house.

We can calculate the maximum amount of money Marian can spend on a house by multiplying her monthly income by the number of months she would want to save.

Marian earns $4,100.00 per month

Suppose Marian wants  to save for  x months,  then the maximum amount that she can spend on the house is:

4100  *   x    +  21390

The answer is:  4100x  +  21390

We need to know the number of months Marian wants to save to get the specific value.

Hope this helps!

The value of the car after 4.53 years will be $19,642.64.So after 4.53 years, the value of the car will equal the amount Chantel has paid to date


To solve this problem, we need to use the formula for exponential decay:

V(t) = V(0) *

where:

V(t) is the value of the car after t years

V(0) is the initial value of the car, which is $46,600

k is the decay rate, which is 10.3% or 0.103 per year

t is the time in years

Let's first find the value of the car after t years:

V(t) = 46,600 * \(e^(-0.103t)\)

Now let's find the amount Chantel paid to date. She put $12,000 down and pays $800 per month, so after t years, she would have paid:

P(t) = 12,000 + 800 * 12 * t

where:

P(t) is the amount Chantel paid to date

12 * t is the number of months Chantel has been paying for (since there are 12 months in a year)

We want to find the time t when V(t) = P(t). That is, we want to find the time when the value of the car equals the amount Chantel has paid. So we can set the two equations equal to each other and solve for t:

46,600 * \(e^(-0.103t)\) = 12,000 + 800 * 12 * t

Dividing both sides by 46,600, we get:

= (12,000/46,600) + (800/46,600) * 12 * t

Taking the natural logarithm of both sides, we get:

-0.103t = ln[(12,000/46,600) + (800/46,600) * 12 * t]

Simplifying, we get:

t = -ln[(12,000/46,600) + (800/46,600) * 12 * t]/0.103

Using a calculator or a computer algebra system, we can solve for t numerically. The solution is approximately 4.53 years.

, which is:

V(4.53) = 46,600 * \(e^(-0.103\) * 4.53) = $19,642.64

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Answer:

9

Step-by-step explanation:

Answer:c, the answer is c

Step-by-step explanation:

Answer:

Sample Response: Yes, Billy is correct. The fractions are placed on the correct tick marks. The smaller fraction is located to the left of the larger fraction.

Step-by-step explanation:

The number of pea is 6. By using formulas of mean, median and mode.

A dataset's mean (also known as the arithmetic mean, which differs from the geometric mean) is calculated by dividing the sum of all values by the total number of values. It is frequently referred to as the "average" and is the most widely used measure of central tendency.

Taking pea counts into account,

A pod of peas contains 4, 5, 6, 7 or 8 peas.

Number of pods: 2, 10, 18, 6, and 14

The mode is the number that corresponds to the highest frequency.

The frequency of each number in the list is 1.

Mode is not possible with the information provided.

The middle value, after sorting the numbers in ascending or descending order, is the median if all of the numbers are odd.

The median of the given numbers is.

Replace the values in the formula to get the mean value.

Mean = 4+5+6+7+8/5 = 30/5 = 6

Consequently, based on the quantity of peas provided, the values of the following measure are as follows:

It is impossible to use Peas in a Pod mode.

The median number of peas in a pod is 6.

the typical quantity of peas is 6.

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Answer:

\(\frac{7}{5}\)

Step-by-step explanation:

I am thinking that you mean 84 minutes compared to an hour?

\(\frac{84}{60}\) ÷ \(\frac{12}{12}\) = \(\frac{7}{5}\)

The system of equations has an infinite number of solutions.

An equation is a mathematical statement that is made up of two expressions connected by an equal sign.

Example:

2x + 4 = 8 is an equation.

We have,

3x + 2y = 6 ____(1)

6x + 4y = 12 _____(2)

Applying the substitution method.

3x + 2y = 6

x = (6 - 2y)/3 in (2)

6 (6 - 2y)/3 + 4y = 12

2 (6 - 2y) + 4y = 12

12 - 4y + 4y = 12

12 = 12

This means,

It has an infinite number of solutions.

Thus,

An infinite number of solutions.

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The complete question is:

Graph the system of equations

3x + 2y = 6

6x + 4y = 12

and find the solution to the system.

Step-by-step explanation:

you need to calculate coordinates first. just by having the function definitions you don't have any coordinates yet.

I typically pick x = 0 as a first point.

so, that gives

-2×0 - 5 = -5

as y result for the first line.

the point on line 1 is then (0, -5)

and we get -0 - 4 = -4 as y result for the second line.

the point for the second line is (0, -4)

for second points I typically go for x = 1.

for the first line we get

-2×1 - 5 = -2 - 5 = -7

and the second point is (1, -7) for the first line.

for the second line we get

-1 - 4 = -5

and the second point is (1, -5) for the second line.

so, make points on the chart for all 4 points, and connect them (and extend the connecting lines to the left and right to the end of the grid).

and the crossing point ?

that is where both equations deliver the same result.

so,

-2x - 5 = -x - 4

-x = 1

x = -1

and the y is then e.g. -2×-1 - 5 = 2 - 5 = -3

and the crossing point is (-1, -3)

Answer:

Step-by-step explanation:

Let \(x\) be the total points on the quiz, then

\(\frac{60}{100}\) × \(x\) = 15

\(60x=1500\) (multiplied both sides by 100)

\(x=25\) (divided both sides by 60)

So there were 25 points on the quiz

The length of the third side of the triangle, to the nearest hundredth, is approximately 54.75 units.

1. We have a triangle with two known side lengths: 43 and 67 units.

2. The angle included between these sides measures 27 degrees.

3. To find the length of the third side, we can use the Law of Cosines, which states that \(c^2 = a^2 + b^2\) - 2ab * cos(C), where c is the third side and C is the included angle.

4. Plugging in the known values, we get \(c^2 = 43^2 + 67^2\) - 2 * 43 * 67 * cos(27).

5. Evaluating the expression on the right side, we get \(c^2\) ≈ 1849 + 4489 - 2 * 43 * 67 * 0.891007.

6. Simplifying further, we have \(c^2\) ≈ 6338 - 5156.898.

7. Calculating \(c^2\), we find \(c^2\) ≈ 1181.102.

8. Finally, taking the square root of \(c^2\), we get c ≈ √1181.102 ≈ 34.32.

9. Rounding to the nearest hundredth, the length of the third side is approximately 34.32 units.

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Answer:

8494.87 is the actual answer but the rounded version is 8494.9

Step-by-step explanation:

3.142×52^2=8494.866535

8494.9 nearest tenth

Answer:    It's not entirely clear what is being asked for in the given question, as it is not clear what the numbers represent or what operation is being performed. If you could provide more information or context, I would be happy to try and help you.

Step-by-step explanation:

The statements that give a correct interpretation of the above expressions is Expression A decays at a rate of 5% every three months, while expression B grows at rate of 12% every four months.

Expression A has initial value of 624, while expression B has initial value of 725

An expression is a combination of numbers, variables, functions (such as addition, subtraction, multiplication or division etc.) Expressions can be thought of as similar to phrases.

according to the data given,

The company's records show the sales of short boards decrease every three months as represented by expression A.

The company's records show that the sales of long boards increase every four months by expression B.

Expression A decays at a rate of 5% every three months, while expression B grows at rate of 12% every four months

Expression A has initial value of 624, while expression B has initial value of 725.

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By taking the difference between the distances, we see that Priya hiked (1 + 1/6) miles more than Diego.

To find this, we just need to take the difference betwee the two distances given.

We know that Priya hiked 1 2/3 miles and Diego hiked 1/2 mile, then the difference is:

D = (1 + 2/3) mi - (1/2) mi

D = (1 + 2/3 - 1/2) mi

D = (1 + 4/6 - 3/6) mi

D = (1 + 1/6) mi

We can see that Priya hiked (1 + 1/6) miles more than Diego.

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The distance farther Priya hike than Diego is 1  1 / 6 miles.

Priya hiked 1  2/3 miles. Diego hiked 1/2 mile. Therefore, let's find how much farther Priya hiked than Diego.

Hence,

Distance hiked by Priya = 1 2 / 3  = 5 / 3 miles

Distance hiked by Diego = 1 / 2 miles

Therefore,

Amount of distance farther Priya hiked than Diego = 5 / 3  - 1 / 2

Amount of distance farther Priya hiked than Diego = 10 - 3 / 6

Amount of distance farther Priya hiked  than Diego= 7 / 6 miles

Amount of distance farther Priya hiked than Diego = 1  1 / 6 miles

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Answer:

the answer would be Point F

Answer:

The answer is F

Step-by-step explanation:

Answer: %82

Step-by-step explanation: First you want to subtract 200-36 because you need the final price to help you get the percentage. Next, you times 200 by different percentages to try to get to 164 which is the final price. I assumed it was %80 first, so I did 200 times .80, but that was 160, so then I proceeded to times it by .82 or %82 and that was the answer. Hope this helps!

Answer:

.20x = 72, so x = 360

.30(360) = 108