The function f(t) = 12(1+0.03) can be used to determine the population in thousands of a town t years

We can reject the null hypothesis   since the p -value is less than 0.01. This means that there is enough   evidence to support the alternative hypothesis.

To compute the p-value,   we need the t test statistics.

t = (x1 - x2) / s / √(n1 +n2   - 2)

Where

x1 is the mean of the first group

x2 is the mean of the second group

s  is the pooled standard deviation

n1 is the sample size of the first group

n2 is the sample size of the second group

Calulation shows that the pooled standard deviation is s = $10.

Thus,

t = (25 - 42) / 10 / √(15 + 18 - 2)

= -0.30532901344

= -0.305

Since the p  -value is less than 0.01,we can reject the null hypothesis.

This means that there is enough evidence to support the alternative hypothesis that the mean allowance receivedby children between 11 and 14 years   is greater than the allowance received by children between 8 and 10 years.

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[tex]~~~~~~ \textit{Continuously Compounding Interest Earned Amount} \\\\ A=Pe^{rt}\qquad \begin{cases} A=\textit{accumulated amount}\\ P=\textit{original amount deposited}\dotfill & \$500\\ r=rate\to 15\%\to \frac{15}{100}\dotfill &0.15\\ t=years\dotfill &3 \end{cases} \\\\\\ A = 500e^{0.15\cdot 3} \implies A=500e^{0.45}\implies A \approx 784.16\hspace{6em}\underset{ interest }{\stackrel{ 784.16~~ - ~~500 }{\boxed{\approx 284.16}}}[/tex]

The sample size for the Gallup poll is 1,627 adults. The 95% confidence interval for those who say they felt fully engaged with their mortgage provider is approximately 22.0% (rounded to 1 decimal place).

To calculate the 95% confidence interval, we need to consider the margin of error. The margin of error is given as 2.5%, which means that we need to account for plus or minus 2.5% around the observed proportion of 22%.

First, let's calculate the margin of error:

Margin of Error = 2.5% of 22% = 0.025 * 22% = 0.0055

Next, we can calculate the lower and upper bounds of the confidence interval:

Lower Bound = 22% - Margin of Error = 22% - 0.0055 = 21.995% ≈ 22.0%

Upper Bound = 22% + Margin of Error = 22% + 0.0055 = 22.005% ≈ 22.0%

Therefore, the 95% confidence interval for those who say they felt fully engaged with their mortgage provider is approximately 22.0% (rounded to 1 decimal place).

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The top right graph represents the exponential function [tex]f(x) = \left(\frac{1}{3}\right)^x[/tex]

An exponential function has the definition presented according to the equation as follows:

[tex]y = ab^x[/tex]

In which the parameters are given as follows:

The function for this problem is given as follows:

[tex]f(x) = \left(\frac{1}{3}\right)^x[/tex]

Hence the parameters are given as follows:

As the function is positive, the top right graph is the correct option.

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If we assume that the three measurements represent the sides of a cube, the surface area would be 8214 square feet.

To calculate the surface area of an object, we need more information about its shape.

Simply stating "37 ft" three times does not provide enough details to determine the surface area.

Surface area is typically calculated for three-dimensional objects such as cubes, spheres, cylinders, or prisms.

Each shape has a specific formula to calculate its surface area.

If we assume that all three measurements, 37 ft, represent the sides of a cube, we can calculate the surface area of the cube.

In a cube, all sides are equal in length.

The surface area of a cube is given by the formula: 6 [tex]\times[/tex] side [tex]\times[/tex] side, where "side" represents the length of one side of the cube.

In this case, if all sides of the cube measure 37 ft, we can substitute this value into the formula:

Surface Area = 6 [tex]\times[/tex] side [tex]\times[/tex] side

[tex]= 6 \times 37 ft \times37 ft[/tex]

[tex]= 6 \times 1369 ft^2[/tex]

[tex]= 8214 ft^2[/tex]

Therefore, if we assume that the three measurements represent the sides of a cube, the surface area would be 8214 square feet.

However, without specifying the shape or providing additional information, it is not possible to determine the surface area accurately.

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1. Revised Net Operating Income = $66,760

2. Revised Net Operating Income  =$64,640

3. Revised Net Operating Income  =$52,

1. If the sales volume increases by 40 units:

So, New Sales = 8,700 units + 40 units = 8,740 units

and, New Contribution Margin =

= $14.00 x 8,740 units

= 122, 360

New Fixed Expenses remain the same at $55,600

Then, Revised Net Operating Income

= New Contribution Margin - New Fixed Expenses

= 122360 - 55600

= 66,760.

2. If the sales volume decreases by 40 units:

New Sales = 8,700 units - 40 units = 8,660 units

New Contribution Margin

= 14 x 8660

= 121,240

New Fixed Expenses remain the same at $55,600

Then, Revised Net Operating Income

= New Contribution Margin - New Fixed Expenses

= 65,640

3. If the sales volume is 7,700 units:

New Sales = 7,700 units

New Contribution Margin

= 14 x 7700

= 107,800

New Fixed Expenses remain the same at $55,600

Then, Revised Net Operating Income

= New Contribution Margin - New Fixed Expenses

= 52, 200

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Answer:

Step-by-step explanation:

17/x + 75/x = 1, we can combine the two fractions by finding a common denominator. The common denominator is x. So we have:

(-17 + 75)/x = 1

58/x = 1

x = 58

(1) The area of the actual bridge deck in square feet is  5,280 square feet.

(2) The theoretical probability, P(gold), is 25% and the experimental probability, P(gold), is 27.5%.

(1) To find the area of the actual bridge deck, we need to convert the dimensions of the scaled bridge deck from inches to feet, and then scale up by a factor of 60.

48 inches = 4 feet

4 and 2/5 inches = 0.3667 feet (rounded to four decimal places)

Area of the scaled bridge deck = 4 feet x 0.3667 feet = 1.4668 square feet

Scaling up by a factor of 60:

Area of actual bridge deck = 1.4668 square feet x 60^2 = 5,280.48 square feet

Therefore, the area of the actual bridge deck is approximately 5,280 square feet.

(2) Based on the given data,

The theoretical probability of pulling a gold marble from the bag is 25% since there are a total of 40 marbles and 11 of them are gold.

Meanwhile, the experimental probability is calculated by dividing the total number of marbles pulled by the number of times gold was pulled.

As a result, the accurate answer is that the theoretical probability, P(gold), is 25% and the experimental probability, P(gold), is 27.5%.

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Given statement solution is :- a) The expression for the time taken for the ball to reach John is:

Time1 = 10 / x.

b) The expression for the time taken for the ball to go from John to Pierre becomes:

Time2 = (10 / x) - 0.5

c) The equation with a positive x, we can multiply both sides by -1:

-1 * (2x^2 - 9x - 2) = 0

This simplifies to:

-2x^2 + 9x + 2 = 0

a) The time taken for the ball to reach John can be calculated using the formula:

Time = Distance / Speed

In this case, the distance is 10m and the speed is x m/s. Therefore, the expression for the time taken for the ball to reach John is:

Time1 = 10 / x

b) The time taken for the ball to go from John to Pierre can be calculated as:

Time2 = Time1 - 0.5

Since Time1 is already expressed as 10 / x, the expression for the time taken for the ball to go from John to Pierre becomes:

Time2 = (10 / x) - 0.5

c) Let's calculate the time taken by Ahmed to throw the ball to John, John to throw the ball to Pierre, and the time between John catching and throwing the ball.

Total time = Time1 + Time2 + 2

Given that the total time is 7 seconds, we can write the equation:

Time1 + Time2 + 2 = 7

Substituting the expressions for Time1 and Time2:

10 / x + (10 / x) - 0.5 + 2 = 7

Simplifying the equation:

(10 + 10 - 0.5x) / x + 2 = 7

(20 - 0.5x) / x + 2 = 7

Multiplying through by x to eliminate the denominator:

20 - 0.5x + 2x = 7x

Combining like terms:

1.5x - 20 = 7x

Bringing all terms to one side:

1.5x - 7x = 20

-5.5x = 20

Dividing by -5.5:

x = -20 / 5.5

Simplifying:

x = -4/11

To rewrite the equation with a positive x, we can multiply both sides by -1:

-1 * (2x^2 - 9x - 2) = 0

This simplifies to:

-2x^2 + 9x + 2 = 0

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8a,the answer will be 30-40 or 30-35

b,it will be 5 because it the one that is in the 50th percentile

Answer:

Step-by-step explanation:

A solution for x would mean that when you plugged in that value for x, the equation will be balanced and equal.  It will make a true statement.  

Ex.  100=100 is a true statement

      whereas if you picked something wrong for x and got 100=50 that is not true.

[tex]\frac{7+8q}{12}[/tex]  is the simplified form of the given expression.

Given the expression below:

[tex]\frac{11}{12}-\frac{1}{6}q+\frac{5}{6}q-\frac{1}{3}[/tex]

We need to determine the simplified form of the expression. This is expressed:

[tex]\frac{11}{12}-\frac{1}{6}q+\frac{5}{6}q-\frac{1}{3} = \frac{11}{12}-\frac{1}{3}-\frac{1}{6}q+\frac{5}{6}q[/tex]

Find the LCM of the resulting expression:

[tex]\frac{11}{12}-\frac{1}{3}-\frac{1}{6}q+\frac{5}{6}q=\frac{11-4}{12 } -\frac{q-5q}{6}\\ \frac{11}{12}-\frac{1}{3}-\frac{1}{6}q+\frac{5}{6}q = \frac{7}{12}+\frac{4q}{6} \\ \frac{11}{12}-\frac{1}{3}-\frac{1}{6}q+\frac{5}{6}q = \frac{7+8q}{12}[/tex]

Hence the simplified sum expression is given as [tex]\frac{7+8q}{12}[/tex]

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The only solution for the equation 8 tan^2 θ = 3 cos^2 θ in the given Range is θ ≈ 19.47 degrees.

a) We are given the equation 8 tan θ = 3 cos θ.

Dividing both sides of the equation by cos θ, we have:

8 tan θ / cos θ = 3

Using the identity tan θ = sin θ / cos θ, we can substitute it into the equation:

8 (sin θ / cos θ) / cos θ = 3

Simplifying further, we get:

8 sin θ / cos^2 θ = 3

Now, multiplying both sides of the equation by cos^2 θ, we have:

8 sin θ = 3 cos^2 θ

Using the identity cos^2 θ = 1 - sin^2 θ, we can substitute it into the equation:

8 sin θ = 3(1 - sin^2 θ)

Expanding the equation, we get:

8 sin θ = 3 - 3 sin^2 θ

Rearranging the terms, we have:

3 sin^2 θ + 8 sin θ - 3 = 0

Therefore, we have successfully shown that the equation can be rewritten in the form 3 sin^2 θ + 8 sin θ - 3 = 0.

b) Now, let's solve the equation 3 sin^2 θ + 8 sin θ - 3 = 0.

To solve the quadratic equation, we can use factoring, quadratic formula, or other appropriate methods.

In this case, the equation factors as:

(3 sin θ - 1)(sin θ + 3) = 0

Setting each factor equal to zero, we have two equations:

3 sin θ - 1 = 0    or    sin θ + 3 = 0

For the first equation, solving for sin θ, we get:

3 sin θ = 1

sin θ = 1/3

Taking the inverse sine (sin^-1) of both sides, we find:

θ = sin^-1(1/3) ≈ 19.47 degrees (to 2 decimal places)

For the second equation, solving for sin θ, we have:

sin θ = -3

Since the range of sine is between -1 and 1, there are no solutions for this equation in the given range (0 ≤ θ ≤ 90 degrees).

Therefore, the only solution for the equation 8 tan^2 θ = 3 cos^2 θ in the given range is θ ≈ 19.47 degrees.

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If Isabel Louw is indeed paying R80,000 more over a period of 15 years, the total amount she would pay would be R1,200,000 more than the original payment.

To verify whether Isabel Louw's claim is valid or not, we would need more information about the context or specific terms of the agreement or payment plan.

Without additional details, it is not possible to determine the accuracy of the statement.

However, if we assume that the claim is related to a fixed payment over 15 years, we can calculate the amount she would pay in total by multiplying the additional amount of R80,000 by the number of years (15):

[tex]R80,000 \times 15 = R1,200,000[/tex]

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Question: To verify whether Isabel Louw's claim is valid or not, we would need additional information. The statement mentions that Isabel Louw will pay R80,000 more over a period of 15 years, but it doesn't provide any context about what she is paying for or any specific details regarding the payments or interest rates involved. Without this information, it is not possible to determine the validity of the claim.

Sarah claims that she will score 20 points higher on her math exam compared to her previous test score. Verify whether this statement is valid or not.

Answer:

m∪n = {0, 1, 2, 4, 6, 8, 9, 10, 12, 14, 16, 18, 20, 22, 24, 25, 26, 28, 36, 49, 64}.

Step-by-step explanation:

To find the intersection (m∩n) of the set of square numbers less than 80 and the set of non-negative even numbers under 30, we need to find the numbers that are in both sets.

The set of square numbers less than 80 is: {0, 1, 4, 9, 16, 25, 36, 49, 64}

The set of non-negative even numbers under 30 is: {0, 2, 4, 6, 8, 10, 12, 14, 16, 18, 20, 22, 24, 26, 28}

The numbers that are in both sets are: {0, 4, 16}

Therefore, m∩n = {0, 4, 16}.

To find the union (m∪n) of the set of square numbers less than 80 and the set of non-negative even numbers under 30, we need to find all the unique numbers that are in either set.

The set of square numbers less than 80 is: {0, 1, 4, 9, 16, 25, 36, 49, 64}

The set of non-negative even numbers under 30 is: {0, 2, 4, 6, 8, 10, 12, 14, 16, 18, 20, 22, 24, 26, 28}

Combining both sets and removing duplicates, we get:

{0, 1, 2, 4, 6, 8, 9, 10, 12, 14, 16, 18, 20, 22, 24, 25, 26, 28, 36, 49, 64}

Therefore, m∪n = {0, 1, 2, 4, 6, 8, 9, 10, 12, 14, 16, 18, 20, 22, 24, 25, 26, 28, 36, 49, 64}.

Step-by-step explanation:

Let's solve the given questions step by step:

1. Determine the equation of f:

From the given information, we know that the turning point of f is (1, 4). The general form of a quadratic function is f(x) = ax^2 + bx + c. We are given that f(x) = a(x + p)^2 + q, so let's substitute the values:

f(x) = a(x + p)^2 + q

Since the turning point is (1, 4), we can substitute x = 1 and f(x) = 4 into the equation:

4 = a(1 + p)^2 + q

This gives us one equation involving a, p, and q.

2. Determine the equation of g:

The equation of g is given as g(x) = 0.3x + p1.

3. Determine the coordinates of the x-intercept of g:

The x-intercept is the point where the graph of g intersects the x-axis. At this point, the y-coordinate is 0.

Setting g(x) = 0, we can solve for x:

0 = 0.3x + p1

-0.3x = p1

x = -p1/0.3

Therefore, the x-intercept of g is (-p1/0.3, 0).

4. For which values of x will f(x) ≥ g(x)?

To determine the values of x where f(x) is greater than or equal to g(x), we need to compare their expressions.

f(x) = a(x + p)^2 + q

g(x) = 0.3x + p1

We need to find the values of x for which f(x) ≥ g(x):

a(x + p)^2 + q ≥ 0.3x + p1

Simplifying the equation will involve expanding the square and rearranging terms, but since the equation involves variables a, p, and q, we cannot determine the exact values without further information or constraints.

To summarize:

We have determined the equation of f in terms of a, p, and q, and the equation of g in terms of p1. We have also found the coordinates of the x-intercept of g. However, without additional information or constraints, we cannot determine the exact values of a, p, q, or p1, or the values of x for which f(x) ≥ g(x).

Answer:

To obtain a function g whose graph is a reflection in the x-axis of the graph of f(x) = |4x - 1| - 6, we can simply take the negative of f(x). Thus, the function g(x) is given by:

g(x) = -|4x - 1| + 6

Step-by-step explanation:

Answer: [tex]g(x) = -4x + 9[/tex]

Step-by-step explanation:

So we know that:

[tex]f(x)=4x+9[/tex]

To reflect across the y-axis, instead of x, use -x. Therefore: [tex]g(x)=f(-x)=4(-x)+9[/tex]

Simplified as:

[tex]g(x)=-4x+9[/tex]

Which is the answer.

Hope it helped :D

Please mark me brainliest

The number of labor hours Melanie needed to complete the job was 19.5 hours, using the equation x = (1,370 - 200) ÷ 60.

An equation is a mathematical statement showing the equality or equivalence of two or more mathematical expressions.

An expression may be a combination of variables, numbers, and mathematical operands, like subtraction and division without the equal symbol (=).

The total bill = $1,370

The cost of parts = $200

Hourly rate for labor = $60

Let the number of hours Melanie needed to complete the job = x

x = (1,370 - 200) ÷ 60

x = 1,170 ÷ 60

x = 19.5 hours

Thus, Melanie needed 19.5 hours, based on the equation above.

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Answer:

The time is 2 years

Step-by-step explanation:

we know that

The simple interest formula is equal to

A=P(1+rt)

where

A is the Final Investment Value

P is the Principal amount of money to be invested

r is the rate of interest  

t is Number of Time Periods

in this problem we have

t= ? years

P= $600

A= $600 + $84 = $684

r = 0.07

substitute in the formula above

$684 = $600(1+(0.07)t)

solve for t

t = [(684/600) - 1]/0.07 = 2 years

Answer:

Step-by-step explanation:

The area of the bullseye is the difference between the areas of the two circles:

Area of inner circle = π(4 cm)² = 16π cm²

Area of outer circle = π(8 cm)² = 64π cm²

Area of bullseye = Area of outer circle - Area of inner circle = 64π cm² - 16π cm² = 48π cm²

The total area of the target is the area of the outer circle:

Total area of target = π(8 cm)² = 64π cm²

So the probability of randomly selecting a point in the bullseye is:

Probability = (Area of bullseye) / (Total area of target)

Probability = (48π cm²) / (64π cm²)

Probability = 3/4

Therefore, the probability that the randomly selected point is in the bullseye is 3/4.

Multiplication of the given matrix is not possible by definition of matrix multiplication.

Since, To multiply means to add a number to itself a particular number of times. Multiplication can be viewed as a process of repeated addition.

We have to given that;

Expression for multiply,

⇒ [4, 0, -1, 2, -3, -1] x [0, 1, -3, 1]

Since, We can see that;

First matrix have order 1 x 6

And, Second matrix have order 1 x 4

We know that;

Matrix multiplication is possible when number of column in first matrix is same as number of rows in second matrix.

Hence, By given matrices we get;

Number of column in first matrix (6) ≠ number of rows in second matrix (1)

So, Multiplication of the given matrix is not possible by definition of matrix multiplication.

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Answer: 3 ≤ 47

Step-by-step explanation:

The inequality given is 3 ≤ 47.

To determine the solutions to this inequality, we need to find the values of x that satisfy the inequality.

Looking at the options provided:

x = 24: This is not a solution because 24 is less than 47.

x = 51: This is a solution because 51 is greater than or equal to 47.

x = 6: This is not a solution because 6 is less than 47.

x = 99: This is a solution because 99 is greater than or equal to 47.

Therefore, the solutions to the inequality 3 ≤ 47 are x = 51 and x = 99.

The angle LKJ in the triangle is 49 degrees.

The sum of angles in a triangle is 180 degrees. The measure of the angle LKJ can be found as follows:

Therefore, the angle LKJ can be found using trigonometric ratios as

follows:

Not the triangle is a right angle triangle. Therefore, one of its angles is 90 degrees.

Hence,

tan x = opposite / adjacent

tan x = 8.9 / 7.7

tan x = 1.15584415584

x = tan ⁻¹ 1.15584415584

x = 49.1346675513

Therefore,

angle LKJ = 49 degrees

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Answer:

C. f(x) = x

The function f(x) = 2[x - 6] is a linear function where the input value x is multiplied by 2 and then shifted horizontally 6 units to the right. The parent function for this linear function is f(x) = x.

Step-by-step explanation:

The p-value is greater than the significance level of 0.05 do not have enough evidence to reject the null hypothesis.

We cannot conclude that the proportion of adults own a cat is greater than 30% based on the given data.

To determine the p-value in this scenario, we need to conduct a hypothesis test.

Let's define our hypotheses:

Null hypothesis (H0):

The proportion of adults who own a cat is equal to or less than 30%.

Alternative hypothesis (Ha):

The proportion of adults who own a cat is greater than 30%.

Next, we can calculate the test statistic using the sample data.

The test statistic for this situation is the z-score measures how many standard deviations the sample proportion is away from the hypothesized proportion under the null hypothesis.

Let's calculate the sample proportion of adults who own a cat:

[tex]\^p[/tex] = 22/68

≈ 0.3235

Now, we need to calculate the standard error measures the variability of the sample proportion:

SE = [tex]\sqrt{[(\^p(1-\^p))/n][/tex]

= √[(0.3235(1-0.3235))/68]

≈ 0.0584

To find the z-score, we use the formula:

z = [tex](\^p - P_0)/SE[/tex]

= (0.3235 - 0.30)/0.0584

≈ 0.4046

Using a standard normal distribution table or a statistical calculator, we can find the p-value associated with the calculated z-score.

The p-value is the probability of obtaining a test statistic as extreme or more extreme than the one observed, assuming the null hypothesis is true.

For a one-tailed test with the alternative hypothesis stating that the proportion is greater than 30% want to find the area to the right of the z-score.

Consulting the standard normal distribution table find that the area to the right of 0.4046 is approximately 0.3431.

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The recursive formula for the sequence an = { 3/5, 1/10, 1/60, 1/360 } is an = an-1 / (6 - n). So, the recursive formula for the sequence is an = an-1 / (6 - n).

The given sequence an = { 3/5, 1/10, 1/60, 1/360 } can be written as follows: a1 = 3/5

a2 = 1/10

a3 = 1/60

a4 = 1/360

To find the recursive formula for the sequence, we need to find an-1 and an.

We have, a2 = a1 / (6 - 2) = a1 / 4,

which gives us a1 = 4a2a3 = a2 / (6 - 3) = a2 / 3,

which gives us a2 = 3a3a4 = a3 / (6 - 4) = a3 / 2,

which gives us a3 = 2a4

Substituting these values in the above formula, we get: an = an-1 / (6 - n)a2 = a1 / 4 => a1 = 4a2a3 = a2 / 3 => a2 = 3a3a4 = a3 / 2 => a3 = 2a4

Substituting a1, a2, and a3 in the recursive formula, we get: a2 = a1 / 4 => a1 = 4a2 = 4/10 = 2/5a3 = a2 / 3 => a2 = 3a3 = 3/60 = 1/20.  a4 = a3 / 2 => a3 = 2a4 = 2/360 = 1/180. Therefore, the recursive formula for the sequence is an = an-1 / (6 - n).

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Step-by-step explanation:

The 'mean' is the 'average'

    add all of the heights together .....thien divide by the NUMBER of heights that were used.

The length of the slide is approximately 16.56 feet.

To solve this problem, we can use basic trigonometry.

The angle of elevation refers to the angle between the horizontal ground and the line of sight from the bottom of the slide to the top of the slide.

Given that the angle of elevation is 44 degrees and the height of the top of the slide is 16 feet, we can use the tangent function to find the length of the slide.

The tangent of an angle is equal to the ratio of the opposite side to the adjacent side.

The opposite side is the height of the slide (16 feet), and the adjacent side is the length of the slide that we want to find (let's call it x).

So, we have:

tan(44 degrees) = 16 feet / x

To solve for x, we rearrange the equation:

x = 16 feet / tan(44 degrees)

Using a calculator, we can find the value of the tangent of 44 degrees, which is approximately 0.9659.

Thus, we can calculate:

x = 16 feet / 0.9659

≈ 16.56 feet

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The relation and equation that is modelled by the graph is y = x - 1.

To determine the relation and equation that is modelled by the graph, we must analyze the characteristics of the graph.The graph is a straight line that passes through the points (0, -1) and (4, 3).

The slope of the line can be determined by using the slope formula:slope = (y2 - y1) / (x2 - x1) = (3 - (-1)) / (4 - 0) = 4/4 = 1

Therefore, the slope of the line is 1. We can use the point-slope form of the equation of a line to determine the equation of the line.y - y1 = m(x - x1)

where y1 = -1, x1 = 0, and m = 1Substituting these values, we get:y - (-1) = 1(x - 0)y + 1 = x Simplifying this equation, we get the relation y = x - 1.

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Answer:

(0, -3) and (1, -2)

Step-by-step explanation:

This question essentially asks at which points do these two quadratic functions intersect. By looking at the graph, the two points of intersection are at (0, -3) and (1, -2)

Answer:

The solutions are (0, -3) and (1, -2).

Step-by-step explanation:

The solutions to a graphed system of equations are the points of intersections.

Points of intersection refer to the coordinates where the graphs of the equations intersect on a coordinate plane.

From inspection of the given graphs, we can observe that the blue and red curves intersect at points (0, -3) and (1, -2).

Therefore, the solutions are (0, -3) and (1, -2).