Given f(x) = 5x + 2 and g(x) = 5x - x5x. What is the value of (f g)(1)?
A) O
B) 20
C) 140
D) 190

Answer:

2/5

Step-by-step explanation:

cross simplify the 4 and 2

the equation becomes:

2/5 • 1/1 = 2/5

Answer:

2/5

Step-by-step explanation:

you just cross multyply so 4x1 is 4 and 5x2 is 10 and you get 4/10 and then you simplify it by 2 and that will get you 2/5

Using the Rational Zero Theorem to find all real zeros for given expression are:

\($-\frac{1}{3}, 1$$\)

What is rational zero theorem?

The Rational Zero Theorem is a theorem in algebra that helps find possible rational zeros (roots) of a polynomial equation with integer coefficients. The theorem states that if a polynomial equation with integer coefficients:

ax^n + bx^(n-1) + ... + kx + l = 0

has any rational roots, then they must be of the form: p/q, where p is a factor of the constant term l, and q is a factor of the leading coefficient a.

To use the Rational Zero Theorem, we need to find all possible rational zeros of the polynomial:

\($$3x^3 - 5x^2 + 7x + 3 = 0$$\)

The possible rational zeros are given by:

\($$\pm\frac{p}{q}$$\)

where \($p$\) is a factor of the constant term 3 and \($q$\) is a factor of the leading coefficient 3. Therefore, the possible rational zeros are:

\($$\pm 1, \pm 3, \pm \frac{1}{3}$$\)

To find the real zeros, we can use synthetic division or long division to divide the polynomial by each of the possible rational zeros. After testing each possible zero, we find that the real zeros of the polynomial are:

\($x=-\frac{1}{3}, x=1$$\)

Therefore, the solution is:

\($-\frac{1}{3}, 1$$\)

To learn more about rational zero theorem visit:

https://brainly.com/question/31070385

#SPJ1

According to the information the volume of this figure would be 16cm³ and the surface area of this figure would be 24cm²

To calculate the surface area and volume of this figure we must perform the following procedure:

Volume:

Multiply height, width and length

2cm * 2cm *2cm = 16cm³

Surface area:

Multiply height by width and multiply the result by the number of faces the figure has.

2cm * 2cm = 4cm²

4cm² * 6 = 24cm²

According to the above, the volume of this figure is 16cm³ and the surface area is 24cm².

Learn more about surface area at: https://brainly.com/question/29101132

#SPJ1

Step-by-step explanation:

B = J + 3

hope this helps. have a great day

Answer:

9,40,41

Step-by-step explanation:

Answer:

C. 9,40,41

Step-by-step explanation:

The last number in any answer is always the hypotenuse and that is what u will use, because according to the formula:

hypotenuse² = opposite²+adjacent² so;

41²=40²+9²

1,681 = 1600 + 81

1,681 = 1,681

so it is balanced and that means the answer is ✅

Answer:

-125 is the answer!!!!!!!!!!!!!

Step-by-step explanation:

:)

Answer:

Step-by-step explanation:

To find g[f(2)], we need to evaluate the composite function g[f(2)] by first finding f(2) and then substituting the result into g(x).

Let's start by finding f(2):

f(x) = 2x² - 3x

f(2) = 2(2)² - 3(2)

= 2(4) - 6

= 8 - 6

= 2

Now that we have the value of f(2) as 2, we can substitute it into g(x):

g(x) = 5x - 1

g[f(2)] = g(2)

= 5(2) - 1

= 10 - 1

= 9

Therefore, g[f(2)] is equal to 9.

Learn more about composite function here: brainly.com/question/30660139

#SPJ11

To calculate the receivable days, divide the trade receivables (RM63,000) by the average daily sales (RM1,400) to get approximately 45 days.



To calculate the receivable days, we need to determine the average daily sales and then divide the trade receivables by that figure.

First, we calculate the average daily sales by dividing the total sales by the number of days in the year:

Average daily sales = Total sales / Number of days

Since the year ended on 30th June 2019, there are 365 days in total.

Average daily sales = RM511,000 / 365 = RM1,400

Next, we divide the trade receivables by the average daily sales to find the receivable days:

Receivable days = Trade receivables / Average daily sales

Receivable days = RM63,000 / RM1,400 ≈ 45 days

Therefore, Alice's receivable days on 30th June 2019 is approximately 45 days.

To learn more about average daily sales click here brainly.com/question/15711496

#SPJ11

=\(9\sqrt{2}\)

Answer:

bro this is answer or questions

Step-by-step explanation:

can u repeat at short

Answer: -5  < x < -2 or (-5, -2)

Step-by-step explanation:

Graph- (-5, -2)

Inequality- -5  < x < -2

The probability of the team having at most 1 injury in the game can be calculated using a Poisson distribution.

To find the probability of the team having at most 1 injury in a typical football game, we can use a Poisson distribution. The Poisson distribution is commonly used to model the occurrence of rare events, such as injuries in this case.

The parameter for the Poisson distribution is the average number of injuries per game, which is given as 3.2.

Let's denote the random variable X as the number of injuries in a game. We need to calculate the probability P(X ≤ 1), which represents the probability of having at most 1 injury.

Using the Poisson distribution formula, we can compute this probability:

P(X ≤ 1) = P(X = 0) + P(X = 1)

Using the Poisson probability mass function, we substitute the values into the formula and calculate the probability.

The result will be the probability that the team will have at most 1 injury in the game.

To learn more about “probability” refer to the https://brainly.com/question/13604758

#SPJ11

Answer: nope u get it

Step-by-step explanation:

The following are the solution to each equation;

5(d + 2) = 3(d - 6)

open parenthesis

5d + 10 = 3d - 18

5d - 3d = -18 - 10

2d = -28

divide both sides by 2

d = -28/2

d = -14

Solution is less than 0

-6m = 2(3m - 1)

-6m = 6m - 2

combine like terms

-6m - 6m = -2

-12m = -2

divide both sides by -12

m = -2/-12

m = 1/6

Solution is greater than 0

⅔(3y + 6) = 0

option parenthesis

6/3y + 12/3 = 0

2y + 4 = 0

2y = -4

y = -4/2

y = -2

Solution is less than 0

-4 = ½p - 7

-4 + 7 = ½p

3 = ½p

divide both sides by ½

p = 3 ÷ ½

multiply by the reciprocal of ½

p = 3 × 2/1

p = 6

Solution is greater than 0

15 - (4z + 3) = 12

15 - 4z - 3 = 12

12 - 4z = 12

-4z = 12 - 12

-4z = 0

Solution is less than 0

0.4(3.2x + 2) = 2x + 1.8

1.28x + 0.8 = 2x + 1.8

1.2x - 2x = 1.8 - 0.8

- 0.8x = 1

x = 1/-0.8

x = -1.25

Solution is less than 0

Read more on equation:

https://brainly.com/question/2972832

#SPJ1

In accordance with the comparison of the given expression to the definition of exponential function, we conclude that the rate of growth is 1/6.

In this question we need to analyze an exponential function of the form:

y = a · (1 + r)ˣ      (1)

Where r is the growth rate. Please notice that there is a decay for r < 0. Thus, we find the following finding by comparing the given expression to (1):

y = 0.84 · (1 + 1/6)ˣ

In accordance with the comparison of the given expression to the definition of exponential function, we conclude that the rate of growth is 1/6.

To learn more on exponential functions: https://brainly.com/question/14355665

#SPJ1

The solution to the system is (x, y) = (7, 13), which means Lena bought 7 small postcards and 13 large postcards.

What is algebra?

Algebra is a branch of mathematics that deals with mathematical operations and symbols used to represent numbers and quantities in equations and formulas.

Let x be the number of small postcards that Lena bought, and let y be the number of large postcards she bought.

From the problem statement, we know that:

Lena bought a total of 20 postcards, so x + y = 20.

Lena bought 6 more large postcards than small, so y = x + 6.

Now we can substitute the second equation into the first one to eliminate y:

x + (x + 6) = 20

Simplifying the equation, we get:

2x + 6 = 20

2x = 14

x = 7

So Lena bought 7 small postcards and y = x + 6 = 13 large postcards.

The solution to the system is (x, y) = (7, 13), which means Lena bought 7 small postcards and 13 large postcards.

Interpretation: Lena bought more large postcards than small postcards, and the difference between the two is 6. Out of the 20 total postcards, 13 were large and 7 were small.

To learn more about algebra from the given link:

https://brainly.com/question/24875240

#SPJ1

Answer:

point A

Step-by-step explanation:

on the number line, point A represent -2

The midpoint of diagonal PR is: B. (5, 4).

The midpoint of diagonal QS is: D. (5, 4).

The midpoint of the diagonals: E. coincide.

This implies that the diagonals of the parallelogram PQRS G. are equal to each other.

In order to determine the midpoint of a line segment with two (2) end points, we would add each end point together and then divide by two (2):

Midpoint = [(x₁ + x₂)/2, (y₁ + y₂)/2]

For line segment PR, we have:

Midpoint of PR = [(4 + 6)/2, (7 + 1)/2]

Midpoint of PR = [10/2, 8/2]

Midpoint of PR = [5, 4].

For line segment QS, we have:

Midpoint of QS = [(8 + 2)/2, (7 + 1)/2]

Midpoint of QS = [10/2, 8/2]

Midpoint of QS = [5, 4].

In conclusion, we can reasonably infer and logically deduce that the midpoint coincides and the diagonals of parallelogram PQRS are equal to each other.

Read more on midpoint here: brainly.com/question/29298470

#SPJ1

To find the slope and y-intercept for each situation, we need to have the equations in the form y = mx + b, where m represents the slope and b represents the y-intercept.

Situation 1:

Let's say we have the equation y = 2x + 3. In this case, the slope is 2 and the y-intercept is 3. The slope represents the rate of change of y with respect to x, and the y-intercept represents the value of y when x is 0.

Situation 2:

Suppose we have the equation y = -0.5x + 4. Here, the slope is -0.5 and the y-intercept is 4. The negative slope indicates a downward trend, and the y-intercept tells us that when x is 0, the value of y is 4.

Situation 3:

Consider the equation y = 3x. In this case, the slope is 3, and the y-intercept is 0. The absence of a constant term in the equation implies that the line passes through the origin, resulting in a y-intercept of 0.

Comparison statements:

In Situation 1, the slope is positive (2), indicating that as x increases, y increases as well. The y-intercept is positive (3), meaning that when x is 0, y is 3.

In Situation 2, the slope is negative (-0.5), indicating that as x increases, y decreases. The y-intercept is positive (4), indicating that when x is 0, y is 4.

In Situation 3, the slope is positive (3), indicating that as x increases, y increases. However, the y-intercept is 0, meaning that when x is 0, y is also 0.

These full sentences compare the slopes and y-intercepts of the given situations, highlighting the direction and magnitude of the relationships between x and y in each case.

To know more about slope visit:

https://brainly.com/question/3605446

#SPJ11

Answer:

A

Step-by-step explanation:

6 is the square root of 36 since it is to the left of it it should be less than 36. That leaves 35 and 30. 35 is closer to 6 as it is almost there so the answer is\(\sqrt35\)

If Two similar cuboids have corresponding widths of 11 cm and 9 cm.

a. the ratio of their surface area is: 11/9

b. The surface area of the smaller cuboid are shapes​ is  243 cm².

a) Let's call the length of the larger cuboid "L1" and the width "W1". The length of the smaller cuboid can be represented as "L2" and the width "W2".

Since the two cuboids are similar, we have the relationship:

L1/L2 = W1/W2 = √(W1/W2)

We know that W1 = 11 cm and W2 = 9 cm, so W1/W2 = 11/9.

Squaring both sides, we get:

(W1/W2)^2 = (11/9)^2 = 121/81

Now, the ratio of their surface area can be found by taking the square root of the ratio of their lengths squared:

(L1/L2)^2 = (W1/W2)^2 = 121/81

Taking the square root of both sides:

L1/L2 = √(121/81) = 11/9

b) Let use the ratio of their surface area to find the surface area of the smaller cuboid:

SA1/SA2 = (L1/L2)^2 = (11/9)^2 = 121/81

SA2 = SA1 / (L1/L2)^2 = 363 / (121/81) = 363 * 81/121 = 243 cm²

Therefore the surface area of the smaller cuboid is 243 cm².

Learn more about surface area here:https://brainly.com/question/16519513

#SPJ1

For the given triangle, its greatest possible perimeter is 45 cm.

The term perimeter has to do with the distance round on object. In this case we do have a triangle and the triangle has three sides. The perimeter of the triangle would be the distance round the triangle.

From the statements we have;

Third side = 15

second side = x

first side = 3x

Then;

x + 15 > 3x

15 > 3x - x

15> 2x

x < 7.5

Thus;

For the first side; 3 * 7.5 = 22.5

For the second side = 7.5

Third side = 15

Greatest possible perimeter of the triangle = 22.5 + 7.5  + 15

= 45 cm

Learn more about perimeter:https://brainly.com/question/6465134

#SPJ1

Meiosis is comparable to flipping thousands of coins and acquiring one gene for each head or tail result (one allele).

Sexual reproduction involves a significant amount of chance in how genes are passed down. Meiosis is the process through which homologous chromosomes split and go to distinct poles. Each gene in the haploid daughter cells has one allele, but the specific allele that each cell possesses is random. Meiosis can be compared to flipping thousands of coins and getting either a head or a tail (one allele) for each one. Each parent at a single locus has a 50% chance of passing either a head or a tail. Every allele in a population should be transmitted proportionally to its frequency.

In other words, if 10% of a population's alleles are allele A, then 10% of the gametes should also have allele A. Results, particularly for small sample sizes, don't always follow probability, though. The outcome of one coin flip does not affect the outcome of the following coin flip. It is not improbable that a coin will come up heads or tails after being flipped twice. It is extremely unlikely that 10 coin flips will produce 10 heads or 10 tails.

And since it is highly unlikely that all 100 flips of the coin will result in heads (or tails), it can be viewed as impossible. In a small population, random chance can also quickly and significantly alter the frequency of alleles. Genetic drift only has a very little impact on a generation at a time in a huge population. To check your understanding of the idea, watch the animation below and then answer the questions.

The complete question is:

Why is genetic drift a more powerful force in small populations?

To learn more about genetic drift refer to;

https://brainly.com/question/1027688

#SPJ1

Part A: The two transformations that could be performed on Figure A to show the figures are congruent are: A reflection across the x-axis, A translation directly to the right.

Part A: The two transformations that could be performed on Figure A to show the figures are congruent are:

1. A reflection across the x-axis.

2. A translation directly to the right.

Part B: The true statement about Figure A, Figure A', and Figure A'' is:

Only Figure A is congruent to Figure A'.

Learn more about transformations at https://brainly.com/question/4289712

#SPJ1

It Will take approximately 1.99 minutes for the element to decay to 80 grams.

To solve this problem, you can use the formula for exponential decay: y = a * b^x

Where "y" is the final amount of the substance, "a" is the initial amount of the substance, "b" is the decay constant (in this case, b = 0.5 since the half-life of element x is 11 minutes), and "x" is the time in which the decay occurs.

In this case, we are trying to find the value of "x" (the time in which the decay occurs) given the values of "y" (80 grams) and "a" (300 grams).

Substituting these values into the formula, we get:

80 = 300 * 0.5^x

To solve for x, we can divide both sides by 300 and take the logarithm of both sides: log(80/300) = log(0.5^x)

-1.386 = x * log(0.5)

-1.386 = x * -0.693

x = 1.99

This tells us that it would take approximately 1.99 minutes for the element to decay to 80 grams. Rounding to the nearest tenth of a minute, this is approximately 2.0 minutes.

Therefore, it would take approximately 1.99 minutes for the element to decay to 80 grams.  

To learn more about Exponentials,

Visit; brainly.com/question/28596571

#SPJ4

Answer:

Step-by-step explanation:

To express the confidence interval 0.039 < p < 0.479 in the form p ± E, we need to find the midpoint of the interval and half of the width.

The midpoint of the interval is the average of the lower and upper bounds:

Midpoint = (0.039 + 0.479) / 2 = 0.259

The width of the interval is the difference between the upper and lower bounds:

Width = 0.479 - 0.039 = 0.44

Half of the width is obtained by dividing the width by 2:

Half Width = 0.44 / 2 = 0.22

Therefore, the confidence interval 0.039 < p < 0.479 can be expressed as:

p ± E = 0.259 ± 0.22

So, the correct option is:

D. 0.259 ± 0.22

know more about confidence interval: brainly.com/question/32546207

#SPJ11

●✴︎✴︎✴︎✴︎✴︎✴︎✴︎✴︎❀✴︎✴︎✴︎✴︎✴︎✴︎✴︎✴︎✴︎●

               Hi my lil bunny!

   ❧⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯☙

\(( \frac{p^{2} }{2} + \frac{2}{2_{q} }) ( p^{2} - \frac{2}{2_{q}})\)

\(= \frac{\frac{1}{2}p^{4}q^{4} + p^{2} q^{2} - 4 }{q^{4}}\)

 ❧⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯☙

 ●✴︎✴︎✴︎✴︎✴︎✴︎✴︎✴︎❀✴︎✴︎✴︎✴︎✴︎✴︎✴︎✴︎✴︎●

        Have a great day/night!

                   ❀*May*❀

Answer:

ree

Step-by-step explanation:

For the equation x^3 + 27y^4 = In  y' at (-3, 1) is -27/107 by using implicit differentiation y' = 3x^2 / (y - 108y^3).

To find y' using implicit differentiation and then evaluate y' at (-3,1) for the given equation x^3 + 27y^4 = ln(y), follow these steps:

1. Differentiate both sides of the equation with respect to x, remembering to apply the chain rule when differentiating with respect to y.

d/dx(x^3) + d/dx(27y^4) = d/dx(ln(y))

2. Apply the chain rule on the right-hand side:

3x^2 + 27(4y^3)(dy/dx) = (1/y)(dy/dx)

3. Solve for dy/dx (which is y'):

dy/dx(y - 108y^3) = 3x^2

y' = dy/dx = 3x^2 / (y - 108y^3)

4. Evaluate y' at (-3, 1):

y'(-3, 1) = 3(-3)^2 / (1 - 108(1)^3)

y'(-3, 1) = 27 / (-107)

So, y' = 3x^2 / (y - 108y^3), and y'(-3, 1) = -27/107.

Learn more about  implicit differentiation : https://brainly.com/question/11887805

#SPJ11