Two functions are given below. f(x) = - 2x ^ 2 + 4x + 1; g(x) = 5x - 3 What is the value of - 4f * (x) - g(x) ?

Answer:(7/3)x - 8/3.

Step-by-step explanation:

To simplify this expression, you need to distribute the 1/3 to the expression inside the parenthesis. This gives:

1/3(5x-8) = (1/3)*5x - (1/3)*8 = (5/3)x - (8/3)

Now, you can distribute the 2/3 to the x-term:

2/3x = (2/3)x

Putting the two terms together, you get:

(5/3)x - (8/3) + (2/3)x = (5/3 + 2/3)x - 8/3 = (7/3)x - 8/3

So, the simplified expression is (7/3)x - 8/3.

Answer:

Step-by-step explanation:

1/3(5x-8)+2/3x

multiply everything by the LCM of the denomenators

LCM of the denomenators=3

1/3 x 3=0

(5x-8)x3=15x-24

2/3x x3=2x

15x+2x-24

=17x-24

Answer:

106.8

Step-by-step explanation:

126.16÷106.8

thank you

Answer:

Hi! The answer to your question is A. \(-5\)

Step-by-step explanation:

☆*: .｡..｡.:*☆☆*: .｡..｡.:*☆☆*: .｡..｡.:*☆☆*: .｡..｡.:*☆

☆Brainliest is greatly appreciated!☆

Hope this helps!!

- Brooklynn Deka

The slope of the line represented by the equation y= -2/3 - 5x is -5.

A line's slope is determined by how its y coordinate changes in relation to how its x coordinate changes. y and x are the net changes in the y and x coordinates, respectively. Therefore, it is possible to write the

change in y coordinate with respect to the change in x coordinate as,

m = Δy/Δx where, m is the slope

We have,

y= -2/3 - 5x

We know from slope intercept form

y= mx + b

Where m is the slope and b is the y intercept.

Now, Comparing with given equation we get

m = -5 and b= -2/3

Thus, the slope of line is -5.

Learn more about Slope here;

https://brainly.com/question/3605446

#SPJ7

Answer:

∠ W = 53°

Step-by-step explanation:

the measure of the secant- secant angle W is half the difference of the measures of the intercepted arcs , that is

∠ W = \(\frac{1}{2}\) (YC - GT) = \(\frac{1}{2}\) (160 - 54)° = \(\frac{1}{2}\) × 106° = 53°

For the population to double, it takes around 7.07 hours.

The continuous exponential growth model is given by:

\(N(t) = N0 * e^{rt}\)

Where:

N(t) is the population size at time t

N is the initial population size (at t = 0)

r is the growth rate parameter

t is the time elapsed

We want to find the time t it takes for the population size to double, which means N(t) = 2N. Substituting into the growth model, we get:

\(2N = N * e^{rt}\)

Dividing both sides by N, we get:

\(2 = e^{rt}\)

Taking the natural logarithm of both sides, we get:

ln(2) = rt

Solving for t, we get:

t = ln(2)/r

Substituting r = 0.098 (9.8% as a decimal), we get:

t = ln(2)/0.098

t ≈ 7.07 hours

Therefore, it takes approximately 7.07 hours for the population size to double.

Learn more about exponential growth and decay here:

https://brainly.com/question/17161065

#SPJ1

Applying the tangent ratio, the angle of elevation of the sun, to the nearest degree, is: 36°.

In a right triangle, tan ∅ = opposite length / adjacent length is the tangent ratio.

Given the following:

Apply the tangent ratio:

tan ∅ = 125/172

tan ∅ = 125/172

∅ = tan^(-1)(125/172)

∅ ≈ 36°

Learn more about the tangent ratio on:

https://brainly.com/question/4326804

#SPJ1

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:

The most appropriate measure of center for the given dot plot is the median, which is 3. The interquartile range is 3, indicating 50% of the data lies between 1 and 4.

The given dot plot shows the number of televisions owned by the families in a neighborhood. There are different measures of central tendency and variation that can be used to describe the data set. The most appropriate measure of center for this data set is the median, which is the middle value when the data is arranged in ascending or descending order.
This is because the data is not normally distributed and there are outliers in the data set.
The median value is 3, which is the middle value when the data is arranged in ascending order. The median is a better measure of center for this data set because it is not affected by outliers, unlike the mean, which can be skewed by extreme values.
The appropriate measure of variation for this data set is the interquartile range (IQR). This is because the data set is not normally distributed and there are outliers present. The IQR is the range between the 25th and 75th percentile of the data set. The IQR is 3, which indicates that 50% of the data lies between 1 and 4.
In summary, the median value of televisions owned by families in the neighborhood is 3, which is a better measure of center because it is not affected by outliers. The interquartile range is 3, which indicates that 50% of the data lies between 1 and 4.

For more questions on median

https://brainly.com/question/14532771

#SPJ8

Answer:

105/13 = x ; 64/13 = y

Step-by-step explanation:

12x + 2 = y + 94  --> 24x + 4 = 2y + 188

11x + 12 = 2y + 91 -->

13x - 8 = 97 -->

13x = 105 -->

105/13 = x -->

64/13 = y

Answer:

The correct answer is B. No, it is not possible because all three sides must be different lengths.

Step-by-step explanation:

As you might guess, the largest angle will be opposite 18 because it is the longest side. Therefore, the angle measure in the middle will be opposite 13. Theorem: If one side of a triangle is longer than another side, then the angle opposite the longer side will be larger than the angle opposite the shorter side.

Answer:

the answer is 0

Step-by-step explanation:

6 (4) -2 (3)(4)

24-24=0

Answer:

4352 i think

Step-by-step explanation:

hmmmm let's say our numbers are "a" and "b",  but we know they're consecutive integer, therefore "b" is either a-1 or a+1, hmm let's use the latter

a    = first integer

a+1 = second integer

we know their reciprocals add up to 5/6, so

\(\begin{cases} a\\ a+1 \end{cases}\qquad \stackrel{\textit{sum of their reciprocals}}{\cfrac{1}{a}+\cfrac{1}{a+1}}=\cfrac{5}{6}\)

let's use the LCD of (a)(a+1)(6) and multiply both sides by it, to do away with the denominators

\(6a(a+1)\left[ \cfrac{1}{a}+\cfrac{1}{a+1} \right]=6a(a+1)\left[ \cfrac{5}{6} \right] \\\\\\ 6(a+1)+6a = 5a(a+1)\implies 6a+6+6a=5a^2+5a \\\\\\ 12a+6=5a^2+5a\implies 0 = 5a^2-7a-6\implies 0 = (a-2)(5a+3) \\\\\\ \begin{cases} 2=a&\textit{\large \checkmark}\\ -\frac{3}{5}=a&\textit{not an integer} \end{cases}~\hfill \begin{cases} a &= 2\\ a+1 &= 3 \end{cases}\)

1) A

the lowest number is -3 and as it goes on, the number gets bigger and bigger therefore x must be larger than -4 but not equal to it.

2) D

the largest number is 9 and as it goes on, the number gets smaller therefore x must equal to and less than 9.

3) D

the largest number is 0 and the arrows points towards the negative numbers and the solid dot tells us that x can be equal to the number therefore the x must be equal to or less than 0.

4) A

the smallest number is -6 and the arrow points towards the positive numbers and the open dot tells us that x does not equal that number therefore x must be greater than -6 but not equal to it.

Answer:

There was a 45% increase in furniture sales.

Furniture sales rose by 9 percentage points.

Step-by-step explanation:

absolute difference = new - old

29-20= 9 percentage points

absolute difference / initial value = 9/20 = .45 * 100 = 45%

Two statements which are true about furniture sales are  \((a)\) There was a \(45\%\) increase in furniture sales and  \((f)\)  Furniture sales rose by \(9\) percentage points.

Percentage is a number or ratio expressed as a fraction of 100. It is often denoted using the percent sign, "%".

Percentage \(=\frac{Obtained\ number}{Total\ number}\ * 100\)

We have,

Sales of furniture in \(2015=20\%\)

Sales of furniture in \(2016=29\%\),

So,

Change in Percentage \(=29-20=9\%\)

i.e.

Sales rise by \(9\%\) points,

And,

Increase in Percentage \(=\frac{9}{20}\ *100=45\%\)

Hence, we can say that Two statements which are true about furniture sales are \((a)\) There was a \(45\%\) increase in furniture sales and \((f)\) Furniture sales rose by \(9\) percentage points.

To know more about Percentage click here

https://brainly.com/question/24159063

#SPJ3

a. False. The proportion cannot be determined from the confidence interval.

b.  False. The population parameter's likely range is indicated by the confidence interval.

c. True. Around 98% of the confidence intervals for each sample that we took from repeated random sampling of top-loading and front-loading washers would contain the actual difference.

d. True. The probability that an interval contains the actual population parameter is represented by the confidence level of the interval. So the level of confidence is 98% in this instance.

e.  False. The 98% confidence interval does not offer a probability or confidence level about a certain sample mean.

a) False. The percentage or proportion of top loaders that are faster than front loaders cannot be determined from the confidence interval. It merely offers a range of reasonable values for the mean cycle time difference.

b) False. The confidence interval does not indicate the likelihood that a specific event will occur once, but rather the likely range of the population parameter.

c) True. The confidence intervals for each sample would contain the real difference in mean cycle time in around 98% of the repeated random samples of top-loading and front-loading washers.

d) True. A confidence interval's confidence level indicates the likelihood that the interval contains the actual population parameter. Since there is a 98% degree of confidence in this situation, we would anticipate that 98% of the generated confidence intervals will contain the actual difference in mean cycle time.

e) False. The 98% confidence interval does not offer a probability or confidence level about a certain sample mean. Instead, it offers a range of logical estimates for the mean cycle time difference.

To learn more about percentage refer to

brainly.com/question/30348137

#SPJ4

Answer:

386.75

Step-by-step explanation:

added in the picture

The cost of joining the gym for 6 months is 386.75.

Given,

The function G(m) = 49.5m + 89.75 represents the cost of joining the gym in addition to the one-time membership fee.

The cost, G, is measured in dollars for m months.

We need to find the value of G(6).​

Here,

The one-time membership = 89.75.

Now,

Putting m = 6 months in:

G(m) = 49.5m + 89.75

G(6) = 49.5 x 6 + 89.75

       = 297 + 89.75

       = 386.75

Thus the cost of joining the gym for 6 months is G(6) = 386.75.

Learn more about finding the value of a function here:

https://brainly.com/question/8822000

#SPJ2

When you accrue interest, it means that A. monetary value is added to your account.

Accruing interest means computing, determining or adding the interest amount due on the principal (sometimes on the principal and accumulated interest) fora period.

When a person accrues interest, it does not mean that they get discounts off their monthly charges or have to pay extra.  It does not mean that people want to be involved in your account.

Thus, when a person accrues interest, it involves adding additional monetary value to the account.

Learn more about accruing interest at https://brainly.com/question/1542335.

#SPJ1

Answer:

12π units² or 37.68 units²

Hope that helps

Answer:

interior alternative angles

x=--4°

Step-by-step explanation:

please mark me as brainlest

Answer:

r 0.6 kWh to run for 30 minutes.

Answer:

ok so it takes 1200 watts for a hair dryer to run for a full hour, that means it takes 600 watts, or 600 Wh, or 0.6 kWh to run for 30 minutes

Step-by-step explanation:

Step-by-step explanation:

This is a sequence of multiply by 2

3 6 12 24 48

Answer:

3,6,12,18

Step-by-step explanation:

hope i helped

The length of the rectangle is twice its width. If its perimeter is 7 1/3 cm, its length will be 22/9 cm, and the width is 11/9 cm.

Let's assume the width of the rectangle is "b" cm.

According to the given information, the length of the rectangle is twice its width, so the length would be "2b" cm.

The formula for the perimeter of a rectangle is given by:

Perimeter = 2 * (length + width)

Substituting the given perimeter value, we have:

7 1/3 cm = 2 * (2b + b)

To simplify the calculation, let's convert 7 1/3 to an improper fraction:

7 1/3 = (3*7 + 1)/3 = 22/3

Rewriting the equation:

22/3 = 2 * (3b)

Simplifying further:

22/3 = 6b

To solve for "b," we can divide both sides by 6:

b = (22/3) / 6 = 22/18 = 11/9 cm

Therefore, the width of the rectangle is 11/9 cm.

To find the length, we can substitute the width back into the equation:

Length = 2b = 2 * (11/9) = 22/9 cm

So, the length of the rectangle is 22/9 cm, and the width is 11/9 cm.

For more information on the Perimeter of the Rectangle, click:

https://brainly.com/question/13757874

Answer:

2/3

Step-by-step explanation:

1 and 2 are taken away, therefore you have 3, 4, 5, and 6 left as options to roll. So the answer is 4/6 since there's 4 numbers, but simplified it's 2/3.

Answer:

There are six possible outcomes when rolling a die, each of which is equally likely. Of these six outcomes, three are greater than 2 (3, 4, 5) and three are not (1, 2, 6). Therefore, the odds in favor of rolling a number greater than 2 are 3 to 3, or simply 1 to 1. Alternatively, we could express this as a probability: the probability of rolling a number greater than 2 is 3/6, or 1/2, since there are three favorable outcomes out of a total of six possible outcomes.

Step-by-step explanation:

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

\(\blue\textsf{\textbf{\underline{\underline{Question:-}}}}\)

Solve the inequality -2z-3≤5

\(\blue\textsf{\textbf{\underline{\underline{Answer and How to Solve:-}}}}\)

First add 3 on both sides:-

-2z≤8

Divide by -2 on both sides:-

z≥-4

Since we divided both sides by a negative number, we flopped the inequality sign over (from "less than or equal to" to "greater than or equal to")

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

Using multiplication, In Alfred's store, there are 75 bags of potato chips.

The fundamental concept of repeatedly adding the same number is represented by the process of multiplication.

The results of multiplying two or more numbers are known as the product of those numbers, and the factors that are multiplied are referred to as the factors. Repeated addition of the same number is made easier by multiplying the numbers.

When we need to merge groups of similar sizes, we employ it. For instance, if there are 5 baskets, each containing 4 apples, we can use multiplication to get the total number of apples, which is 5 x 4 = 20 apples.

In Cecilia's store, there are five times fewer bags of potato chips than there are in Alfred's. This indicates that Alfred's has five times as many bags as Cecilia's does. We must multiply to determine how many bags there are in Alfred's store:

15 x 5 = 75

In Alfred's store, there are 75 bags of potato chips.

To learn more about multiplication from given link

https://brainly.com/question/28768606

#SPJ1

The answer to the sum is: ∑ k⁴ (k  ranges from 1 to 6)

Express the sum in sigma notation :

According to the question,

1 = lower limit of summation

k = the index of summation

1 + 16 + 81 + 256 + 625 + 1296 = 1² + 4² + 9² + 16² + 25² + 36²

                                                 = 1⁴ + 2⁴ + 3⁴ + 4⁴ + 5⁴ + 6⁴ ( i.e 16 = 4²=(2²)²)

                                                 = ∑ k⁴ (k ranges from 1 to 6)

 So, The answer to the sum is - ∑ k⁴ (k ranges from 1 to 6).    

Read more about  sigma notation :

https://brainly.com/question/28163163

#SPJ4                                      

Answer:

0.75 miles

Step-by-step explanation:

15/20 = 3/4 = 0.75

15 is 3/4 of 20

0.75 mile  is 3/4 of 1mile

9514 1404 393

Answer:

  9 cups

Step-by-step explanation:

The ratio of flour to oats is ...

  flour/oats = (3 cups)/(2 cups) = F/(6 cups)

The amount of flour needed for 6 cups of oats is ...

  F = (6 cups)(3/2) = 9 cups

Shawn needs 9 cups of flour if 6 cups of oats are used.