Graph the functions and approximate an x-value in which the exponential function surpasses the polynomial function. In your final answer, include a copy of the graph. y = 2x2 + 7 y = 5(x-4)

Answers

Answer 1

Answer:

x-value is 6.87

Step-by-step explanation:

we are given

Polynomial as

[tex]y=2x^2+7[/tex]

Exponential as

[tex]y=5^{x-4}[/tex]

Firstly, we can draw graph

We can see that intersection point is (6.87,101.392)

so, x=6.87


Graph The Functions And Approximate An X-value In Which The Exponential Function Surpasses The Polynomial
Answer 2

At (6.97, 101.392) the exponential function surpasses the polynomial function.

What is the graphical solution of a system of equations?

Graphical solutions of a system of equations are way of finding the intersection points of all the equations given.

A system with two or more than two equations has a solution only when they have a common intersection point.

Given, A system of equation y = 2x² + 7 and y = 5^(x - 4).

Now by graphing these two equations we observe that at 6.87 the exponential function surpasses the polynomial function.

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Graph The Functions And Approximate An X-value In Which The Exponential Function Surpasses The Polynomial

Related Questions

find f(x).g(x) if f(x) = 3x+11 and g(x)= -2x+7

Answers

Answer:

f(x)·g(x) = -6x² -x +77

Step-by-step explanation:

Given:

f(x) = 3x + 11

g(x) = -2x+7

f(x) * g(x) = (3x+11)*(-2x+7)

              = -6x²+21x-22x+77

              = -6x² -x +77

what is the value of B

Answers

Answer:

B = 2

Step-by-step explanation:

using the rule of exponents

• [tex]a^{\frac{m}{n} }[/tex] = [tex]\sqrt[n]{a^{m} }[/tex]

consider [tex]83^{\frac{2}{3} }[/tex] = [tex]\sqrt[3]{83^{2} }[/tex]

⇒ B = 2


For what value of p will the pair of linear equations have infinitely many solutions (p-3)x + 3y = p , px+ py = 12

Answers

Answer: p = 6


Step-by-step explanation:

HI !


 px + 3y - ( p-3)=0


a₁ = p , b₁ = 3 , c₁ = - (p-3)


=====================


12x + py - p=0


a₂ = 12  , b₂ = p , c₂ = -p


since , the equations have infinite solutions , 


a₁/a₂ = b₁/b₂ = c₁/c₂


p/12 = 3/p =  p-3/p



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


p/12 = 3/p


cross multiply ,


p² = 36


p = √36

 p = 6


for the value of p = 6 , the equations will have infinitely many solutions





PLEASE HELP QUICKLY!!! BRAINLIEST!!!

Answers

Answer:

3/1

Step-by-step explanation:

think in this question we have to find the ratio .



Question:

There are 9 tennis balls in 3 cans. What is the RATIO of number of tennis balls to number of cans?



Solution:



Given:


Number of tennis ball= 9


Number of cans = 3


Ratio of number of tennis balls to number of cans= tennis ball : cans


= 9/3 = 3/1


Hence, Ratio of number of tennis balls to number of cans= tennis ball : cans= 3:1


==================================================================


Hope this will help you....

"The area of a triangle is given by the formula A = 1/2bh. Solve this equation for the height, h, in terms of the base, b, and area, A." Help!!!!

Answers

Answer:

2A/b =h

Step-by-step explanation:

A = 1/2bh

Multiply each side by 2

2*A = 2*1/2bh

2A = bh

Divide each side by b

2A/b = bh/b

2A/b =h

Gabriela has dinner at a cafe and the cost of her meal is \$45.00$45.00. Because of the service, she wants to leave a 15\%15% tip.
What is her total bill including tip?

Answers

$51.75 is ur answer $45 plus $6.75 15% =0.15 the answer is 51.75 hoped this helped add ne and may I get braniest

Answer: Her total bill including tip is $51.75

Step-by-step explanation:

Hi, first, we have to multiply the cost of the meal by the tip percentage in decimal form (percentage divided by 100).

Mathematically speaking:

45 x (15/100) = 45 x 0.15 = 6.75 tip amount

Finally, add the amount of the tip to the meal's cost.

45 +6.75 = $51.75

Her total bill including tip is $51.75

Feel free to ask for more if needed or if you did not understand something.

find the slope of the line through each pair of points.

Answers

Slope = change in y / change in x = (20– -14)/(-18– -19) = 34/1 =34

Step by step problem solving for 3.99 + 39.9 decimal problem

Answers

Answer:

You are going to line up the decimal points to each other and add a zero to the end of the shortest decimal.

3.99+39.9=43.89

Step-by-step explanation:

You are going to take the 3.99 and add that to the 39.9 like normal but you are first going to line up the decimals.


what is the solution to the system of equations y=x+3, y=3x+1

Answers

Substitution method

y = x + 3   (*)

y = 3x + 1  (**)

Substitute (*) to (**):

3x + 1 = x + 3      subtract 1 from both sides

3x = x + 2       subtract x from both sides

2x = 2        divide both sides by 2

x = 1

Put the value of x to (*):

y = 1 + 3

y = 4Answer: x = 1 and y = 4 → (1, 4).

A dozen eggs cost 3.84. At this rate how much wood 50 eggs cost

Answers

Answer:

$16

Step-by-step explanation:

A dozen is equal to 12 eggs. In order to find the amount for 50 eggs, we need to find the unit rate. In this problem, we can assume that each of the eggs cost the same amount.  Therefore, we can divide 3.84 by 12 to get the amount of one egg.

3.84/12= 0.32

Now that we have found the unit rate, we simply have to multiply it by 50 to get the cost. To explain why we do this, I will set it up as a proportion.

3.84/1 = ?/50

In order to get the equivalent amount you must multiply by 50.  

0.32 x 50= 16

Therefore, the answer is $16

The cost of 50 eggs is $16.

Given that, a dozen eggs cost $3.84.

What is the unitary method?

The unitary method is a technique for solving a problem by first finding the value of a single unit, and then finding the necessary value by multiplying the single unit value.

Here, the cost of one egg = 3.84/12

= $0.32

Now, the cost of 50 eggs

= 50 × 0.32

= 16

Therefore, the cost of 50 eggs is $16.

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Which expression is equivalent to 9(w+8)?
72W
9W+72
9W+8
17W

Answers

Answer:

9W + 72

Step-by-step explanation:

using the distributive property, you would multiply both the w and the 8 by 9 to obtain 9*w and 9*8. 9*w + 9*8 = 9w + 72.

This works because if you have 9 of (w+8), you have 9 w's and 9 8's. Adding these up is simply multiplying 9 by w (since there are 9 w's) and 9 by 8 (since there are 9 8's).



Answer:

I’m patty’s urge in 9W + 8

Step-by-step explanation:

I just got the question right on Edge!

Russell has a collection of 1,200 pennies. Of these pennies, 25% are dated before 1980, 35% are dated from 1980 to 2000, and the rest are dated after 2000. How many pennies in Russell’s collection are dated after 2000

Answers

40% dated after 2000

Answer:

The total pennies in Russell's collection dated after 2000 is 800

Step-by-step explanation:

Given

Total Pennies: 1,200

Pennies before 1980: 25%

Pennies between 1980 and 2000: 35%

Required

Number of pennies in Russell’s collection are dated after 2000

Let P1 represent pennies dated before 1980

Let P2 represent pennies dated between 1980 and 2000

Let P3 represent pennies dated after 2000

To calculate the number of pennies dated after 2,000. you have to understand that his total collection of pennies is 100%

This means that

P1 + P2 + P3 = 100%

Where P1 = 25% and P2 = 35%.

So, we're solving for P3

By substituting, P1 = 25% and P2 = 35%, we have

25% + 35% + P3 = 100%

60% + P3 = 100%

Make P3 the subject of formula

P3 = 100% - 60%

P3 = 40%

The quantity of pennies dated after 2,000 is then calculated by P3 * Total.

i.e. 40% * 2000

= 0.4 * 2000

= 800

Hence, the total pennies in Russell's collection dated after 2000 is 800

You want to use square tiles to cover the top of a stepping stone you're making. The top is 24 inches by 20 inches. What is the side measure of the largest-sized square tile you can use to cover the stepping stone without any overlap or cutting?

Answers

The side measure of the largest-sized square tile will be 4 in.

What is the greatest common factor?

The greatest common factor (GCF) of a set of numbers is the largest factor that all the numbers share.

Given that, The top of a stepping stone  is 24 inches by 20 inches.

GCF of 24 and 20 = 4

Hence, The side measure of the largest-sized square tile will be 4 in.

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Calculate the measure of angle x

Answers

Answer:

x =56.4 degrees

Step-by-step explanation:

For right triangles, we know that the sin x = opposite/ hypotenuse

sin x = 20/24

Taking the arcsin of each side

arcsin (sin x) = arcsin (20/24)

x = 56.44269024 degrees

To the nearest tenth

x =56.4 degrees

Which characteristics describe the scatterplot? Check all that apply.

1.Negative Correlation
2.Positive Correlation
3.Strong Correlation
4.Weak Correlation
5.Linear
6.Nonlinear

Answers

A. Negative Association

C. Strong Association

E. Linear

Answer:

1. Negative Correlation

3. Strong Correlation

5. Linear

Step-by-step explanation:

We have been given a scatter-plot. We are asked to choose the characteristics of the given scatter-plot.

Upon looking at our given scatter-plot, we can see that as the values of x are increasing values of y are decreasing.

We know that the relationship between two variables in which one variable increases as the other decreases is known as negative correlation. Therefore, the given scatter-plot represents negative correlation and 1st option is a correct choice.

We can also see that the slope of the line connecting all data points is approximately [tex]-1[/tex], which represents a strong negative correlation, therefore, 3rd option is correct as well.

If we draw a line on our given scatter-plot, it will connect all the data points. Therefore, the given scatter-plot has a linear correlation and 5th option is correct as well.

Simplify completely 12x+36/x^2-4x-21 and find the restrictions on the variable

Answers

Answer:

[tex]\dfrac{12}{x-7},[/tex]

[tex]x\neq 7,\ x\neq -3.[/tex]

Step-by-step explanation:

Consider the expression

[tex]\dfrac{12x+36}{x^2-4x-21}.[/tex]

1. The numerator can be factored as

[tex]12x+36=12(x+3).[/tex]

2. The denominator [tex]x^2-4x-21[/tex] has the discriminant

[tex]D=(-4)^2-4\cdot (-21)\cdot 1=16+84=100.[/tex]

Then

[tex]x_{1,2}=\dfrac{-(-4)\pm \sqrt{100}}{2\cdot 1}=\dfrac{4\pm 10}{2}=7,\ -3.[/tex]

Then

[tex]x^2-4x-21=(x-7)(x+3).[/tex]

Note that restrictions on the variable x are [tex]x\neq 7,\ x\neq -3.[/tex]

3. Simplify the fraction:

[tex]\dfrac{12x+36}{x^2-4x-21}=\dfrac{12(x+3)}{(x-7)(x+3)}=\dfrac{12}{x-7}.[/tex]


what is seven decreased by 3 times some number

Answers

the answer to the question is 7-3x.

Answer:

7 - 3x

Step-by-step explanation:

let "some number" = x

"3 times x" = 3(x)

"seven decreased by" 7 -

Put together the phrases.

"seven decreased by 3 times x" is 7 - 3x

7 - 3x is your answer

~

if you have a net spendable income of $1,450 per month, what is the maximum amount of money you should spend on food each month

Answers

Answer:

The maximum amount of money that should be spent on housing each month is $522.

The maximum amount of money that should be spent on transportation each month is $290.

The maximum amount of money that should be spent on food each month is $246.50.

The maximum amount of money that should be spent on entertainment each month is $116.


Answer:

$522

Step-by-step explanation:

The maximum amount of money that should be spent on housing each month is $522.

The maximum amount of money that should be spent on transportation each month is $290.

The maximum amount of money that should be spent on food each month is $246.50.

The maximum amount of money that should be spent on entertainment each month is $116.

a Panda eats about 20 kg of bamboo per day. About how many pounds of bamboo will the panda eat in 6 weeks?

Answers

Answer:

840 kg of bamboo in 6 weeks

Step-by-step explanation:

if a panda eats 20 kg of bamboo per day he eats 140 kg of bamboo every week. multiply the amount he eats per week (140) by the amount of weeks (6) and you get 840 kg of bamboo

Answer:

1,848

Step-by-step explanation:

The panda eats 20kg of bamboo per day, and 1 L = 2.2 Ib, so multiplying 20 x 2.2 = 44, and there is 42 days in 6 weeks, so you multiply 44 x 22 = 1,848. I hope this is the correct answer, you're welcome!

Lia finds a second dress that was originally $72.00 and now was marked 15% off. How much did she pay for the second dress?

Answers

Answer:

The answer is $61.20

Step-by-step explanation:

First you multiply 72 by .15 (which is 15% converted to a decimal), which gives you 10.8. You then subtract 10.8 from 72.

x + 2y = 5
x - 3y = 7
What is the value of the y-determinant?
-2
-1
2

Answers

Answer:

y-determinant = 2

Step-by-step explanation:

Given the following system of equation:

x + 2y = 5 x - 3y = 7

Let's represent it using a matrix:

[tex]\left[\begin{array}{ccc}1&2\\1&-3\end{array}\right] = \left[\begin{array}{ccc}5\\7\end{array}\right][/tex]

The y‐numerator determinant is formed by taking the constant terms from the system and placing them in the y‐coefficient positions and retaining the x‐coefficients. Then:

[tex]\left[\begin{array}{ccc}1&5\\1&7\end{array}\right] [/tex]

y-determinant = (1)(7) - (5)(1) = 2.

Therefore, the y-determinant = 2

Provide the first six terms of the following sequence: t1=81 tn=13tn-1n ≥ 2

Answers

Answer: 81, 27, 9, 3, 1, 1/3

There are six terms listed. The first five are whole numbers and the sixth term is a fraction.

==============================================

Explanation:

The equation t1 = 81 means that the first term "t" is 81. The second term is t2 = 27 because we multiply 1/3 by 81, or divide 81 over 3, and we end up with 81/3 = 27 as the second term.

We know to multiply by 1/3 because of the equation tn = (1/3)*t_(n-1) where the "n-1" portion is smaller than 't'. We can write it like this[tex]t_n = \frac{1}{3}*t_{n-1}[/tex]

To get the next term, we multiply by 1/3 again: 27*(1/3) = 27/3 = 9 giving us the third term

And repeat until we have six terms

9*(1/3) = 9/3 = 3 is the fourth term

3*(1/3) = 3/3 = 1 is the fifth term

1*(1/3) = 1/3 is the sixth term

So that is how I got the first six terms to be 81, 27, 9, 3, 1, 1/3

Please help me with this and dont get any wrong!!!!!

Answers

1. The answer is A.

Based on the line plot, we can see that Sandy drank 12 juice boxes on October 12th. Each X on the plot represents 2 juice boxes, and there are 6 of them, meaning she drank 12. October 2nd has 1 X, meaning she drank 2 that day.


2. The answer is A.

On a graph, the point (1, 3) would mean that 1 is on the x-axis, and 3 is on the y-axis. Therefore, point B is correct because it is 1 space to the right, and 3 spaces up from the origin.


3. The answer is C.

If the coordinate we're looking for is (4, 0) then on a graph you would move 4 spaces to the right, and 0 spaces up or down. Therefore, point B is the correct choice.

Write an exponential function to model the following situation
A population of 140,000 grows 4% per year for 16 years .
How much will the population be after 16 years?

Answers

Answer:

[tex]y = 140000(1.04)^{x}[/tex]; 262 000

Step-by-step explanation:

The general formula for an exponential function is

[tex]y = a(b)^{x}[/tex]

a = 140 000; b = 1.04; x = 16

[tex]y = 140000(1.04)^{x}[/tex]

y = 140 000(1.04)¹⁶

y = 140 000 × 1.873

y = 262 000

The graph below shows the population growth over time.

Final answer:

An exponential function to model the population growth is P(t) = P_0 * e^{rt}, where the initial population P_0 is 140,000, the rate of growth r is 0.04, and the time t is 16 years. The population after 16 years is calculated by P(16) = 140,000 * e^{0.64}.

Explanation:

To model the population growth, we can use the formula for exponential growth which is P(t) = P_0 e^{rt}, where:

P(t) is the future population after time t,

P_0 is the initial population size,

e is the base of natural logarithms (approximately equal to 2.71828),

r is the rate of growth (expressed as a decimal), and

t is the time in years.

In the given situation, the initial population P_0 is 140,000, the growth rate r is 4% per year which is 0.04 when expressed as a decimal, and the time period t is 16 years. Plugging these values into the formula:

P(16) = 140,000 * e^{0.04 * 16}

To calculate the future population after 16 years, solve the equation:

P(16) = 140,000 * e^{0.64}

Using a calculator to compute e^{0.64}, and then multiplying by 140,000, we obtain the future population.

In Phoenix, Arizona, the average n​​ umber of sunny days is 211 per year. About what percent of the year is Phoenix sunny?

Answers

Answer:

21100%


Step-by-step explanation:

Move the decimal point two places to the right.



The answer is 57.8% because you divide 211 by 365 (days in a year) which gives you 0.578 and you move the decimal point over two places which would give you 57.8

what is 7x+14 = to 7(1+x), 7x-7 or 7(x+2)

Answers

Answer:

7(x + 2)

Step-by-step explanation:

7x + 14 =

7 can be factored out of each term.

= 7 * x + 7 * 2

= 7(x + 2)

What is the formula to
u-5=-4(w-1)

Answers

Answer: u = -4w + 9

Step-by-step explanation:

u - 5 = -4(w - 1)

u - 5 = -4w + 4

  +5           +5  

u         = -4w + 9

The proper formula to solve the equation u - 5 = -4(w - 1) for w is w = (u + 9) / 4, after rearranging and simplifying the terms of the equation.

The question involves solving a linear equation with variables u and w. Initially, we have the equation u - 5 = -4(w - 1). To solve for w, we need to isolate w on one side of the equation. A statement in the information provided seems to mistakenly give the result of w, which probably arises from a typo or error, stating w = -40 - 5. However, this is incorrect given the initial equation.

Let's start by expanding the right side of the initial equation:

u - 5 = -4w + 4

And then rearranging to solve for w:

Add 4w to both sides: u + 4w - 5 = 4Add 5 to both sides: u + 4w = 9Divide by 4: w = (u + 9) / 4

From this process, we see that the correct formula to isolate and solve for w is w = (u + 9) / 4.

what is i + 6i? You have to simplify

Answers

[tex]i=1i\\\\i+6i=1i+6i=(1+6)i=\boxed{7i}[/tex]

The coordinates of a triangle are given as A(3, 2), B(-4, 1), C(-3, -2). What are the coordinates of the image after the triangle is reflected in the line y = x? A'( a0, a1) B'( a2, a3) C'( a4, a5)

Answers

Look at the picture.

[tex]A(3,\ 2)\to A'(2,\ 3)\\\\B(-4,\ 1)\to B(1,\ -4)\\\\C(-3,\ -2)\to C'(-2,\ -3)[/tex]

Anu bought an air cooler as shown below. Its water tank is in the shape of a cuboid and can take 40 litres of water. Its dimensions are 50cmx 20cm. What will be the length of the water tank?

Answers

Answer:

40 cm

Step-by-step explanation:

Using the conversion

1 litre = 1000 cm³, then

40 litres = 40 × 1000 = 40000 cm³

The volume ( V) of a cuboid is

V = lbh ( divide both sides by bh )

l = [tex]\frac{V}{bh}[/tex] = [tex]\frac{40000}{50(20)}[/tex] = [tex]\frac{40000}{1000}[/tex] = 40 cm


Length of water tank is 40 cm

Given that;

Capacity of tank = 40 liters

Dimensions of tank = 50cm × 20cm

Find:

Length of water tank

Computation:

Capacity of tank = 40 liters

Capacity of tank = 40 × 1000

Capacity of tank = 40,000 cm³

Length of water tank = 40,000 / [50cm × 20cm]

Length of water tank = 40,000 / 1,000

Length of water tank = 40 cm

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