How do I solve this problem. Please explain step by step if u could


0.25 + (-3) =

The Expression x^2 - 6x + 9 when x = 2 + i   is -2i

To evaluate the expression x^2 - 6x + 9 when x = 2 + i, we substitute the value of x into the expression:

(2 + i)^2 - 6(2 + i) + 9

Simplifying the first term, we get:

(2 + i)^2 = 2^2 + 2(2)(i) + i^2 = 4 + 4i + i^2

Since i^2 = -1, we can substitute that in and simplify further:

(2 + i)^2 = 4 + 4i - 1 = 3 + 4i

Now we substitute this into the original expression:

(2 + i)^2 - 6(2 + i) + 9 = (3 + 4i) - 6(2 + i) + 9

Simplifying further, we get:

= 3 + 4i - 12 - 6i + 9

= 0 - 2i

= -2i

Therefore, the value of x^2 - 6x + 9 when x = 2 + i is -2i.

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The solution for this system of equation is x = 3 and y = 2.

By Substitution Method:

When using the Elimination method,

The equations are :

3x - y = 7

2x + y = 8

here in both equations y has the same cofficient with different sign so, we can simply use Elimination methord by adding both equation .

We get ,

3x + 2x = 7+8

⇒ 5x = 15

⇒ x = 3

Now,

3x -y  = 7

⇒ 3*3 - y = 7

⇒y = 2

The solution for this system of equation is x = 3 and y = 2.

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The solution for this system of equation is x = 3 and y = 2.

What is Substitution and Elimination methord of Solving Equation ?
Resolve ONE of the x or y equations. If one of the equations has previously been solved for x or y, this step can be avoided.

Substitute the outcome for that variable in the other equation.

Either all x terms or all y terms will now make up the new equation. Fix the variable's place in the equation.

To obtain the alternative answer, plug the solution back into the beginning equation (the one you used to solve for x or y).

When using the Elimination method,

Start by aligning the x- and y-coordinates on the same side of the equation.

Whichever you decide to remove, find a common multiple for the Xs OR the Ys.

To enable the addition of the equations, make one of those multiples negative.

One of the variables will be removed when the equations are combined. Give the variable that is still present its final solution.

To determine the other number, enter your response from step four into either of the equations.

The equations are :
3x - y = 7
2x + y = 8
here in both equations y has the same cofficient with different sign so, we can simply use Elimination methord by adding both equation .
We get ,
3x + 2x = 7+8
⇒ 5x = 15
⇒ x = 3
Now,
3x -y  = 7
⇒ 3*3 - y = 7
⇒y = 2

The solution for this system of equation is x = 3 and y = 2.

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9514 1404 393

Answer:

  y = -4x -2

Step-by-step explanation:

The slope is given by the formula ...

  m = (y2 -y1)/(x2 -x1)

  m = (-10 -10)/(2 -(-3)) = -20/5 = -4

__

The y-intercept is given by ...

  b = y1 -m(x1)

  b = 10 -(-4)(-3) = 10 -12 = -2

Then the slope-intercept equation is ...

  y = mx +b

  y = -4x -2

The class width used for the frequency distribution is 6.

The class midpoint for the class 23-29 is 26.

The class midpoint for the class 30-36 is 33.

The class midpoint for the class 37-43 is 40.

To find the class width of the frequency distribution, we need to determine the range of each age class. The range is the difference between the upper and lower boundaries of each class. Looking at the table, we can see that the class boundaries are as follows:

23-29

30-36

37-43

For the class 23-29, the lower boundary is 23 and the upper boundary is 29. To find the class width, we subtract the lower boundary from the upper boundary:

Class width = 29 - 23 = 6

So, the class width for the frequency distribution is 6.

To find the class midpoint for each class, we take the average of the lower and upper boundaries of each class.

For the class 23-29:

Class midpoint = (23 + 29) / 2 = 52 / 2 = 26

For the class 30-36:

Class midpoint = (30 + 36) / 2 = 66 / 2 = 33

For the class 37-43:

Class midpoint = (37 + 43) / 2 = 80 / 2 = 40

So, the class midpoint for the class 23-29 is 26, for the class 30-36 is 33, and for the class 37-43 is 40.

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Answer:

A salad costs $2.50

A sandwich costs $4.50

A drink costs $1.25

Step-by-step explanation:

Let x represent the salad, y represent the sandwich, and z represent the drink.

Since three salads, two sandwiches, and one drink cost $17.75:

3x + 2y + z = 17.75  (1)

Since one salad, one sandwich, and three drinks cost $10.75:

x + y + 3z = 10.75  (2)

Since a salad costs twice as much as a drink:

x = 2z  (3)

Multiply the equation 2 by -2 then, sum the equation 1 and equation 2:

-2x - 2y - 6z = -21.50

3x + 2y + z = 17.75

→ x - 5z = -3.75

Replace the x with 2z using equation 3:

2z - 5z = -3.75

-3z = -3.75

z = 1.25

x = 2z → x = 2.50

x + y + 3z = 10.75 → 2.50 + y + 3.75 = 10.75 → y + 6.25 = 10.75 → y = 4.50

Answer:34,000

Step-by-step explanation:

Answer:

its 34,000 because it below 5

Step-by-step explanation:

brainliest please

Step-by-step explanation:

Let's denote the width of the rectangle as "w".

According to the problem statement, we know that the length of the rectangle is 7 yards more than twice the width.

Therefore, the length of the rectangle can be expressed as:

length = 2w + 7

We also know that the area of the rectangle is 99 square yards.

Therefore, we can set up an equation:

area = length x width

Substituting the expressions for length and area, we get:

99 = (2w + 7) x w

Expanding the expression on the right-hand side, we get:

99 = 2w^2 + 7w

Moving all the terms to one side, we get:

2w^2 + 7w - 99 = 0

We can solve this quadratic equation using the quadratic formula:

w = (-b ± sqrt(b^2 - 4ac)) / 2a

where a = 2, b = 7, and c = -99.

Plugging in these values, we get:

w = (-7 ± sqrt(7^2 - 4(2)(-99))) / 2(2)

w = (-7 ± sqrt(1093)) / 4

The two solutions for w are:

w ≈ 5.5 or w ≈ -9

Since the width of the rectangle cannot be negative, we can discard the negative solution.

Therefore, the width of the rectangle is approximately 5.5 yards.

Using the expression for the length that we derived earlier, we can find the length of the rectangle:

length = 2w + 7

length ≈ 2(5.5) + 7

length ≈ 18

Therefore, the dimensions of the rectangle are approximately:

width = 5.5 yards

length = 18 yards

Answer:

The number is 16

Step-by-step explanation:

Answer:

butterflies (b)=50

butterflies in 6 months =20/100×50=10+b =60

butterflies in 12 months =2(6months)

butterflies in 12 months= 120

The population of butterflies after 1 year is 72 butterflies

What is an Equation?

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Let the present population of butterflies be A = 50 butterflies

The percentage increase after 6 months = 20 %

The population of butterflies after 6 months = present population of butterflies + percentage increase after 6 months

The population of butterflies after 6 months = 50 + ( 20/100 ) x 50

                                                                         = 50 + ( 0.2 x 50 )

                                                                         = 50 + 10

                                                                         = 60 butterflies

The population after 6 more months =  population of butterflies after 6 months + percentage increase after 6 months

The population after 6 more months =  60 + ( 20/100 ) x 60

                                                              = 60 + 0.2 x 60

                                                              = 60 + 12

                                                              = 72 butterflies

Hence , The population of butterflies after 1 year is 72 butterflies

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Answer:

$1272.28

Step-by-step explanation:

Our equation is

\(p*(1+x)^{t}\) , with p being the starting amount, x being the interest rate, and t being the time. Plug our variables in to get

\(1000*(1+0.035)^{7}\) = around 1272.28

The value of z-score such that 0.02 of the area lies to the right of z would be 2.06.

Given that,

0.02 of the area lies to the right of z.

Now, for the value of z such that 0.02 lies to the right of z, we can make use of the standard normal distribution table.

Since to determine the value of z such that 0.02 of the area lies to the right, we need to find the z-score associated with the cumulative probability of (1 - 0.02) = 0.98

Now for the value of 0.98 in the standard normal distribution table, we find that the corresponding z-score is 2.06.

Therefore, the value of z, rounded to two decimal places, is 2.06.

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The value of z such that 0.02 of the area lies to the right of z is approximately 2.05 (rounded to two decimal places).

To find the value of z such that 0.02 of the area lies to the right of z, we need to determine the z-score associated with that probability.

Since we're looking for the area to the right of z, we can use the standard normal distribution table or a statistical calculator to find the corresponding z-score.

By searching the table or using a calculator, we can find that the z-score associated with a right-tail probability of 0.02 is approximately 2.05.

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Answer:

1.  3 factors

2.  2 terms

Step-by-step explanation:

1.  

\(\text{The entire expression} \ \frac{1}{2} \left( 2a+1\right) \left( a+3\right)\)

is the product of 3 factors.

The 3 factors are :

1/2  and  (2a + 1)  and  (a + 3)

2.

On its own, (2a + 1) is a sum with 2 terms.

The two terms are :

2a  and  1

Consider the expression

\( \frac{1}{2}(2a + 1)(a + 3)\)

Complete 2 descriptions of the parts of the expression.

1. The entire expression is the product of 3 factors.

2. On its own, (2a + 1) is a sum with 2 terms.

The theoretical probability of spinning red is given as follows:

1/3.

The parameters that are needed to calculate a probability are listed as follows:

Then the probability is calculated as the division of the number of desired outcomes by the number of total outcomes.

For the spinner in this problem, 2 out of 6 regions are red, hence the theoretical probability is given as follows:

2/6 = 1/3.

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The median would be 22:

Step-by-step explanation: The median is the number that is in the middle

Simply defined, the median is the number right in the middle of a set.

But before I get down to finding the median, I will order the numbers from least to greatest:

15, 17, 19, 20, 21, 22, 23

Now, the middle number is 20. So that's the median.

As for the range, it's the difference between the largest number and the smallest one:

Range = Greatest number - Smallest number

           = 23 - 15

           = 6

In summary, the median, the number in the middle, is 20, and the range, the difference between the largest number and the smallest one, is 6.

Answer:

Graph 4)

Step-by-step explanation:

Absolute Value

The absolute value of x, written as |x| is a positive number that represents the distance from the origin and the number.

In practice, the absolute value is found writing the number without the negative sign, if present.

For example:

|-3| = 3

|12| = 12

|0| = 0

We are given the function:

y = - | x - 3 |

Since the absolute value is positive, the minus sign before the bars make this function always negative. All options except 4) are automatically discarded because they have positive values for y.

Give x some values: x={-1,0,3,4}

And evaluate y:

x=-1

y = - | -1 - 3 | = - | -4 | = -4

x=0

y = - | 0 - 3 | = - | - 3 | = -3

x=2

y = - | 2 - 3 | - | -1 | = -1

x=3

y = - | 3 - 3 | - | 0 | = 0

x=4

y = - | 4 - 3 | - | 1 | = -1

Plotting these points and drawing the graph, we get the graph shown in option 4)

Answer:

Diane had 0.3 grams of pepper left

Step-by-step explanation:

If she had 0.9 grams of pepper, we can subtract the amount of pepper she used (0.6) to find out how much she has left.

0.9 - 0.6 = 0.3

(sorry if this is confusing but I hope it helped)

Answer:

She has 0.3 grams of pepper left.

Step-by-step explanation:

0.9 g - 0.6 g = 0.3 g

It's just like answering 9 - 6 (= 3) but moving he decimal forward 1 placement.

9514 1404 393

Answer:

  slope = 4

Step-by-step explanation:

The rise between two adjacent marked points is 4 units. The run (horizontal distance to the right) between the same points is 1 unit. The slope is ...

  m = rise/run = 4/1 = 4

The slope of the line is 4.

Answer:

B

I think

Step-by-step explanation:

y=1 ( -1,1)(0,1)(1,1)(2,1) and etc

Step-by-step explanation:

Multiply the factors

\((x - 1)(x + 1)(x + 3)\)

\(( {x}^{2} - 1)(x + 3)\)

\({x}^{3} + 3 {x}^{2} - x - 3\)

The highest exponent is 3, so the degree is 3

Answer:

Each side of the original square is One-fourth the length of each side of the scale model

Step-by-step explanation:

Given that the square is a scaled copy of a smaller orginal square that was scaled up using a scale factor of 4, it means that the side length of the original square was multiplied by 4 to get the new side lenght of the scaled copy given in the question, which is 8ft.

Let original lenght be x.

x * 4 = 8 ft

4x = 8

x = 8/4 = 2.

Side lenght of the original square = 2 ft

Side of the original square to side of scale model = 2 ft to 8 ft = 2/8 = ¼.

Therefore, the statement that is true is: "Each side of the original square is One-fourth the length of each side of the scale model".

Answer:

A

Step-by-step explanation:

Answer:

Step-by-step explanation:

Yes the answer is true.

A declarative statement is one that

That being said, it can make a statement that is testable. It is testable, it can be assigned a probability.

Answer:

for 1 pound =10/22

for 51/ 2 pounds = 10/22x51/2

= 510/ 44

= 11.590kg

Step-by-step explanation:

The quadratic equations are classified as follows:

If the discriminant of the quadratic equation is positive, then the equation has two real solutions.

If the discriminant is zero, then the equation has one real solution.

If the discriminant is negative, then the equation has no real solutions (but may have complex solutions).

Let's classify the given quadratic equations based on the number of solutions:

20² +5 = 9 is not a quadratic equation because it does not have a variable with a degree of two. Instead, it is just a number that evaluates to a false statement.

Therefore, it has no solution.

2x² + 3x = 5 is a quadratic equation with a = 2, b = 3, and c = -5. The discriminant is 3² - 4(2)(-5) = 49, which is positive.

Therefore, the equation has two real solutions.

3x² + 2x = 22 is a quadratic equation with a = 3, b = 2, and c = -22. The discriminant is 2² - 4(3)(-22) = 100, which is positive.

Therefore, the equation has two real solutions.

4x² + 12x = 19 is a quadratic equation with a = 4, b = 12, and c = -19. The discriminant is 12² - 4(4)(-19) = 400, which is positive.

Therefore, the equation has two real solutions.

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Drag each equation to the correct location on the table.

Classify the quadratic equations based on the number of solutions.

20² +5 = 9

2x² + 3x = 5

3x² + 2x = 22

4x² + 12x = 19

One Solution

Two Solutions

No Solution

Answer:

slope (m) = 2/3

Step-by-step explanation:

slope = change in x /change in y

Also, slope is y2 - y1 / x2 -x1. That is what I apply for this activity, hence:

slope = 3 - (-1) / 0 - (-6)

         = 3 + 1 / 0 + 6

         = 4 / 6

         = 2/3

∴ slope(m) = 2/3

The perimeter of the square is 16√5 mm, and the area of the square is 80 mm².

To calculate the perimeter and area of the square, we can use the formulas:

Perimeter = 4 * side length

Area = side length * side length

Substituting the given side length of 4√5mm into the formulas, we have:

Perimeter = 4 * 4√5mm = 16√5mm

Area = (4√5mm) * (4√5mm) = 16 * 5mm = 80mm²

Therefore, the perimeter of the square is 16√5mm, and the area of the square is 80mm².

Please note that the values are based on the provided side length of 4√5mm. If there are any changes to the side length, the perimeter and area will differ accordingly.

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The perimeter of the square is 16√5 mm, and the area of the square is 80 mm².

I took the test on plato.

Answer:

5.44 meters

Step-by-step explanation:

We Know

0.3048 meter = 1 ft

How many ft makes a height of 1.66m?

We Take

1.66 ÷ 0.3048 ≈ 5.44 meters

So, the answer is 5.44 meters.

Answer:

\(15-4\sqrt{15}\)

Step-by-step explanation:

\(\sqrt{5}\left(3\sqrt{5}-4\sqrt{3}\right)\\\\\mathrm{Apply\:the\:distributive\:law}:\\\quad \:a\left(b-c\right)=ab-ac\\\\a=\sqrt{5},\\\:b=3\sqrt{5},\:c=4\sqrt{3}\\\\=\sqrt{5}\times\:3\sqrt{5}-\sqrt{5}\times\:4\sqrt{3}\\\\=3\sqrt{5}\sqrt{5}-4\sqrt{5}\sqrt{3}\\\\Simplify\:\:\:3\sqrt{5}\sqrt{5}-4\sqrt{5}\sqrt{3} \: :15-4\sqrt{15}\\\\=15-4\sqrt{15}\)

Answer:

L = length

W = width

L = 2(2W + 8)

W = 2W

Perimeter: 96 = 4W + 16 + 2W

96 = 6W + 16

80 = 6W

13.33 = W

Plug this into the equation:

2(13.33) + 8

26.67 + 8 or 34.67 = L

Step-by-step explanation: