Solve:

a = 0

a = 8

no solution

Answer:

p^2+n

Step-by-step explanation:

When you divide exponents, you subtract them and keep the base (the large number attached to the exponent) the same.

If we subtract two negatives (in this case it's p^-2 - p^n) the answer ends up being positive. So, the answer is p^2+n.

Hope this helped!

If a variable needs to be eliminated, to solve -7x - 10y = -83 4x - 10y = 16, the correct first step is to:

Subtract to eliminate y.

In order to solve a system of linear equations, we can use elimination method. The goal of elimination method is to simplify the system of equations by making one of the variables disappear or equal to zero.

Here, the system of equations is:

To eliminate one of the variables, we can add or subtract the equations so that one of the coefficients cancels out.

In this case, we want to eliminate y. We can do that by subtracting the first equation from the second equation.

When we subtract the first equation from the second equation, the y-term will cancel out because the coefficients are the same:

--------- (subtract the two equations)

11x = 99

Now, we only have one variable, x, and we can easily solve for it:

x = 9

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Answer:

Step-by-step explanation:

Answer:

I the answer is number 3

x(x-7)+4(x-7)

x²-7x + 4x-28

=x²-3x-28

(x+4)(x-7)

x²-7x+4x-28

=x²-3x-28

(x-7)(x+4)

x²+4x-7x-28

=x²-3x-28

x2 – 3x – 28

the factored form is

=(x+4)(x-7)

Answer:

Step-by-step explanation:

Hello!

15 < x + 4

We can subtract 4 from both sides, to cancel it out.

15 - 4 is 11.

11 < x

x = {12,13,14,15,16,..........................................................................Infinity}

Hope I Helped!

Answer:

x = 29.7 or 29.69848480

Step-by-step explanation:

Use the formula a² + b² = c²

21² = 441

20² = 400

400 + 441 = 882

√882 = 29.7

You square the number at the end to cancel out the squared number, since both 21 and 20 aren't originally squared.

Answer:

Step-by-step explanation:

U right it’s not any of them and if u single I’m here

Answer:

B.

Step-by-step explanation:

AD, the entire segment, is composed of the three segments AB, BC, and CD. In other words:

\(AD=AB+BC+CD\)

Since AB=CD, we can substitute:

\(AD=CD+BC+CD\\ AD=2CD+BC\)

We know that CD is 9 and BC is 5x. AD is 53. So, substitute:

\(53=2(9)+5x\)

Solve for x:

\(\begin{aligned} 53&=18+5x \\ 35&=5x \\ 7&=x \end{aligned}\)

The value of x is 7.

Hence, our answer is B.

Step-by-step explanation:

The body reverses direction whenever we go from Positve velocity to negative velocity or vice versa.

So here it is (2,7) exclusive then (7,10) exclusive.

A constant speed means a slope of 0. Here it is (3,6).

c. Since speed is non negative, we would reflect any part of the velocity function that is below the time.axis about the time axis

So we would get

Above is the function, don't worry bout the math part.

D. Knowing that acceleration is the derivative of velocity with respect to time, the derivative of any linear function is the slope of that linear function. So if we find the slope of different paths, we will get a constant and then we can graph it

We must use the original graph because acceleration is a vector meaning it can be negative.

We would get

the second graph is acceleration vs time

Given:

The function is,

As the given function is continous at x= 3 ,

Answer:

x = 5

Step-by-step explanation:

We know that BD = 2x - 1 and BC + CD = BD.  Thus, we can set the sum of (x- 3) and 7 equal to 2x - 1 to find x:

BC + CD = BD

x - 3 + 7 = 2x - 1

x + 4 = 2x - 1

x + 5 = 2x

5 = x

Thus, x = 5

Checking the validity of our answer:

We can check that our answer is correct by plugging in 5 for x in x - 3 and 2x - 1 and checking that we get the same answer on both sides of the equation:

5 - 3 + 7 = 2(5) - 1

2 + 7 = 10 - 1

9 = 9

Thus, our answer is correct.

The solution to the system of equations is x = 1 and y = -3.

To solve the system of equations using the substitution or elimination method, let's start with the substitution method.

Given equations:

y = 4x - 7

4x + 2y = -2

We'll solve equation 1) for y and substitute it into equation 2):

Substituting y from equation 1) into equation 2):

4x + 2(4x - 7) = -2

4x + 8x - 14 = -2

12x - 14 = -2

Now, we'll solve this equation for x:

12x = -2 + 14

12x = 12

x = 12/12

x = 1

Now that we have the value of x, we can substitute it back into equation 1) to find y:

y = 4(1) - 7

y = 4 - 7

y = -3

Therefore, the solution to the system of equations is x = 1 and y = -3.

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Tim should order approximately 6 pizza.

Division in mathematics is the process of dividing an amount into equal parts. For instance, we may split a group of 20 people into four groups of 5, five groups of 4, and so on. One of the four fundamental arithmetic operations, or how numbers are combined to create new numbers, is division. The other operations are multiplication, addition, and subtraction. Mathematicians use addition, subtraction, multiplication, and division as their four fundamental arithmetic operations. The division is one of these four operations that we employ most frequently in our daily work. It involves dividing a huge group into equally sized smaller units. Divide 25, for instance, by 5.

Given Data

Number of employees = 22

Slice of pizza one should get = 1/4

Dividing 22 by 1/4

\(\frac{22}{4}\)

5 and \(\frac{1}{2}\)

Tim should order approximately 6 pizza.

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This function written in vertex form include the following: A. f(x) = (x –1)² – 7.

In Mathematics, the axis of symmetry of a quadratic function can be calculated by using this mathematical equation:

Axis of symmetry = -b/2a

Where:

a and b represents the coefficients of the first and second term in the quadratic function.

For the given quadratic function f(x) = x² – 2x – 6, we have:

a = 1, b = -2, and c = -6

Axis of symmetry, Xmax = -b/2a

Axis of symmetry, Xmax = -(-2)/2(1)

Axis of symmetry, Xmax = 2/2

Axis of symmetry, Xmax = 1.

Next, we would determine vertex as follows;

f(x) = x² – 2x – 6

f(x) = 1² – 2(1) – 6

f(x) = -7.

Now, we can write quadratic function in vertex form;

f(x) = a(x - h)² + k

f(x) = (x - 1)² - 7

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Complete Question:

The image shows a geometric representation of the function f(x) = x² – 2x – 6 written in standard form.

What is this function written in vertex form?

f(x) = (x –1)² – 7

f(x) = (x +1)² – 7

f(x) = (x –1)² – 5

f(x) = (x +1)² – 5

Answer:

∡C=53°

∡F=102°

AB=11

DF=27

Step-by-step explanation:

Similar triangles have the same shape but not necessarily the same size. If two triangles are similar, their corresponding angles are equal and their corresponding sides are proportional.

Some of the properties of similar triangles:

For the question:

In ΔABC and ΔEFD

Since the respective corresponding angles are equal.

so,

∡A=∡E=25°

∡B=∡F=102°

∡C=∡D=53°

so, ΔABC  \(\sim\)  ΔEFD

Again

Since their corresponding sides are proportional.

First, we need to find the ratio of their respective side:

DE: CA=63:14=9:2 when compared to big triangle to small triangle.

CA: DE=14:63=2:9 when compared to big triangle to small triangle.

AB=2/9*EF=2/9*49.5=11

DF=9/2*CB=9/2*6=27

Answer:

53.846153846154%

Step-by-step explanation:

Answer:

35/65 x 100 = about 53.85

9 1/2 years on Venus is equivalent to approximately 2137.65 days on Earth.

To find how many days on Earth are equivalent to 9 1/2 years on Venus, we need to use the ratio of 224.7 days on Earth to 1 year on Venus. First, we convert 9 1/2 years to a decimal form, which is 9.5 years. Then, we multiply 9.5 years by the conversion ratio: 9.5 years * 224.7 days/year = 2137.65 days on Earth. Therefore, 9 1/2 years on Venus is equivalent to approximately 2137.65 days on Earth in decimal form.

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Using the concept of word problems and quadratic equation it will take 1 year until the sum of square of their ages be 45.

Word problems are mathematical problems that are delivered in ordinary words, instead of mathematical symbols.

Part of the problem with dealing with word problems that they first need to be translated into mathematical equations, and then the equations need to be solved.In this problem;

let x represent the number of years from now when the sum of square of their respective age will be

45.(x + 2)² + (x + 5)² = 45

Expanding the brackets;

x² + 4x + 4 + x² + 10x + 25 = 45

2x² + 14x + 29 = 45

2x² + 14x + 29 - 45 = 0

2x² + 14x - 16 = 0

Solving the quadratic equation for x;

x = 1, x = -8

Taking the positive value, the value of x is 1

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Answer:

K5.60.

Step-by-step explanation:

Answer:

£503.75

Step-by-step explanation:

100-7=93

6500×0.93=6045

6045/12=503.75

Answer:

$503.75 per month

Step-by-step explanation:

%7 of 6500= 455

6500-455=6045

6045 divided by 12=503.75

The approximate shortest distance between the treasure chest and driftwood is 3.2 yards

The correct answer is an option (C)

From the attached figure of the coordinate plane,

the coordinates of the palm tree = (1, 2),

the coordinates of the  treasure chest = (5, 8)

and the coordinates of the driftwood = (8, 7)

We know that the distance formula between two points (x₁, y₁) and (x₂, y₂) is:

d = √[(x₂ - x₁)² + (y₂ - y₁)²]

We need to find the distance between the treasure chest and driftwood.

Let (x₁, y₁) = (5, 8)

and (x₂, y₂) = (8, 7)

Using distance formula, the approximate shortest distance between the treasure chest and driftwood would be,

d = √[(x₂ - x₁)² + (y₂ - y₁)²]

d = √[(7 - 8 )² + (8 - 5)²]

d = √[(-1)² + (3)²]

d = √[1 + 9]

d = √(10)

d = 3.1622

d ≈ 3.2 yards

This is the required distance between the treasure chest and the driftwood.

Therefore, the correct answer is an option (C)

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Find the complete question below.

Answer:

A

Step-by-step explanation:

Answer:

A.  the growth factor

Step-by-step explanation:

Area:-

Answer:

408 ft²

Step-by-step explanation:

Given that,

→ Length (l) = 12 ft

→ Breadth (b) = 34 ft

Formula we use,

→ Area of rectangle = l × b

Then the area will be,

→ l × b

→ 12 × 34

→ 408 ft²

Hence, the area is 408 ft².

The line plot, histogram, and box plot provide different visual representations of the reading time data. By analyzing these plots, we can observe the distribution and characteristics of the data, such as central tendency, spread, and outliers.

Line Plot:

A line plot displays data points on a number line, representing the frequency or count of each value.

In this case, the line plot will show the minutes spent reading on the x-axis and the count of students on the y-axis.

For the given data, the line plot will show 10, 20, 30, 40, and 60 on the x-axis, with the corresponding counts displayed above each value.

Histogram:

A histogram displays data distribution by dividing the range of values into intervals or bins and representing the frequency of values falling into each bin.

The histogram will have the minutes spent reading on the x-axis and the count or frequency of students on the y-axis.

The intervals will be 10-19, 20-29, 30-39, 40-49, and 50-59, with the last interval being 60+.

The height of each bar in the histogram will represent the number of students falling into each interval.

Box Plot:

A box plot (also known as a box-and-whisker plot) provides a visual representation of the distribution of data, including measures of central tendency and variability.

The box plot will show a horizontal line inside a box, with whiskers extending from the box, and possibly individual data points beyond the whiskers.

The box will represent the interquartile range (IQR), showing the middle 50% of the data.

The line within the box will represent the median value.

The whiskers will indicate the minimum and maximum values, excluding outliers.

By analyzing these plots, you can observe the central tendency, spread, and distribution of the reading time data. For example, you can identify any outliers, notice the most common reading durations, and observe any patterns or trends within the dataset.

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The 99% confidence interval for the population proportion p is (0.776, 0.824).

To find the 99% confidence interval for a proportion, we can use the formula:

CI = p^ ± z*(SE)

where p^ is the sample proportion, SE is the standard error, and z is the critical value from the standard normal distribution corresponding to the level of confidence.

For a 99% confidence interval, the critical value z is 2.576.

Substituting the given values into the formula, we have:

CI = 0.80 ± 2.576*(0.03/√200)

Simplifying this expression, we have:

CI = 0.80 ± 0.024

This means that we are 99% confident that the true population proportion falls between 0.776 and 0.824. We can interpret this interval as a range of plausible values for the population proportion, based on the sample data.

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Answer:

The anser is

Step-by-step explanation:

DO IT YOURSELF BRO GO LEARN AND STOP USING BRAINLY PU_$$y

Answer:

The probability is 0.857

Step-by-step explanation:

We know that:

There is a total of 440 cars

There are 63 cars with defective turn signals

There are 39 with defective tires.

Now we want to find the probability that a randomly selected car does not have defective turn signals.

If all the cars have the same probability of being selected, this probability will be equal to the quotient between the number of cars that do not have defective turn signals and the total number of cars.

We know that the total number of cars is 440

And 63 of these have defective turn signals, then the rest don't.

440 - 63 = 377 cars do not have defective turn signals.

Then the probability is:

P = 377/440 = 0.857