-23x² + x² - 6x + 10 + 2x²

Step-by-step explanation:

Mean means the average

So to find the average, add all the numbers then divide by how many numbers there are.

Total=389

Divide by 10 = 38.9

(66 inches) because i don't know

but my answer is correct

The domain for the given graph would be [-5,10] and range for the graph would be [0.4,5.6]. in both the case whether increasing or decreasing graph.

The range of values that we are permitted to enter into our function is known as the domain of a function. The x values for a function like f make up this set (x). The entire range of independent variable values is the domain of a function.

The range of a function is the set of outputs the function achieves when it is applied to its whole set of outputs. In the function machine metaphor, the range is the set of objects that actually come out of the machine when you feed it all the inputs.

Graphs can also be used to determine the domain and range of functions. The domain of a graph consists of all the input values shown on the x-axis because the domain refers to the set of possible input values. The range represents the set of possible output values shown on the y-axis.

Here, The domain would be [-5,10] as the graph is depicting.

The range would be[0.4,5.6].

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We will prove both of the identities by expanding the exponents, only in the first one we need to use a little trick that is multiplying by (-1)^2 = 1.

Let's start with the first one:

(a + b)^2 = (- a - b)^2

We can start with the left side and write:

(a + b)^2 = (a + b)*(a + b)

Now, remember the rule of signs:

(-1)*(-1) = 1

So we can multiply by one the expression above and get:

(a + b)*(a + b) =  (a + b)*(a + b)*1 =  (a + b)*(a + b)*(-1)*(-1)

Now we can reorder the product to get:

(a + b)*(a + b)*(-1)*(-1) = (-1)*(a + b)*(-1)*(a + b) = (-a - b)*(-a - b) = (-a - b)^2

So we proved the first part, now the second one:

(a - b)^2

Let's just expand this:

(a - b)^2 = (a - b)*(a - b) = a*a + a*(-b) + (-b)*a + (-b)*(-b) = a^2 - 2ab - b^2

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Given,

ΔABC and ΔDEF are similar triangles.

AB = 6 feet, BC = 4 feet, AC = 7 feet

Let the shortest side of ΔDEF be  EF = 12 feet.

Let DE = x and DF = y

Since,  ΔABC and ΔDEF are similar,

[tex]\frac{BC}{EF}[/tex]  = [tex]\frac{AB}{DE} = \frac{AC}{DF}[/tex]

⇒ [tex]\frac{4}{12} = \frac{6}{x} =\frac{5}{y}[/tex]

On Solving,

x = 18 feet and y = 15 feet

We know,

Perimeter of a triangle = sum of all three sides

Hence, perimeter of ΔDEF = DE + EF + DF = 18 + 15 + 12 = 45 feet.

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Answer:

[tex]\boxed{\sf{r < -4\quad r\geq 2}}[/tex]

Step-by-step explanation:

Isolate the term of r.

First, subtract by 5 from both sides.

r+5-5<1-5

Solve.

r<-4

Add by 1 from both sides.

r-1+1≥1+1

Solve.

Add the numbers from left to right.

r≥2

Therefore, the correct answer is r<-4 and r≥2.

I hope this helps, let me know if you have any questions.

Answer:

5 bottles of hand sanitizer
2 thermometers
4 packets of masks

Step-by-step explanation:

We start by factoring each of the numbers to find the common factor which will give us the number of bags used to distribute.

1155  = 5 x 231

462 =  2 x 231

924 =  4 x 231

We see that 231 is the common factor for all 3 numbers. It is also the greatest common factor.

Therefore the greatest number of bags that can be packed = 231

Each bag will contain:
5 bottles of hand sanitizer
2 thermometers
4 packets of masks

The width of her bedroom is x - 5

It is important to note that the formula for area of a rectangle is expressed as;

Area = lw

Where;

Now, let's substitute the values into the formula, we have;

2x²-7x-15 = (2x+3)w

Divide both sides by the coefficient of w

w = 2x²-7x-15/(2x+3)

Factorize the numerator

w = 2x²- 10x + 3x - 15/(2x+3)

Factor the common terms of the numerator

w = 2x(x - 10) + 3(x - 5)/(2x+3)

enclose the expressions

w = (2x + 3)(x-5)/(2x+3)

Divide the common terms

w = x - 5 feet

Hence, the value is x - 5

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Answer:

y = -5/9x

Step-by-step explanation:

Two points on the line; (4,-2) & (-5,3)

Finding the slope (m):

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

= 5/-9

= -5/9

y = -5/9x + c

Since it passes through the origin, c = 0.

Hence, y = -5/9x

Hope this helps and feel free to mark this as brainliest :)

Answer:

k = 5

Step-by-step explanation:

f(x) = x + 4

g(x) = x + 9 = (x + 5) + 4 = f(x + 5)

So k = 5

Using the Law of Detachment, the conclusion is that it is not safe to be out in the open, as the conclusion is true, since the conditional and the hypothesis are true.

The Law of Detachment is a logic axiom which states that if a conditional and the hypothesis are true, then the conclusion is also true.

Supposing a conditional statement p -> q, we have that:

For this problem, the sentence is:

"If there is lighting, then it is not safe to be out in the open."

Hence p and q are given as follows:

Marla sees lighting from the soccer field, hence the statement p is correct, and we know that the conditional is true, hence the conclusion that it is not safe to be out in the open can be reached.

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Answer: y=32/x^2

Step-by-step explanation: Please mark brainilest. Since y and x^2 are inversely proportional, x^2(y)=k. K is some constant. Since they gave us an example of x and y, we can calculate k as 4*8=32. So our updated equation is y(x^2)=32. Dividing both sides by x^2 we get y=32/x^2, so we have y in terms of x

Answer:

y = 32x

Step-by-step explanation:

y = k/x^2

8 = k/2^2

8 = k/4

8×4 = 32

k = 32

y = 32x

Hi

[tex]\star\sim\star\sim\star\sim\star\sim\star\sim[/tex]

      bc a negative over a negative gives us a positive , so -72:(-9) is the same as 72:9 which is 8. Then we divide that by 2 and arrive at 4

[tex]\star\sim\star\sim\star\sim\star\sim\star\sim[/tex]

Answer:

September2020

13outcomes

The time taken to create the driveway is 7 hours 42 minutes

The dimensions of the rectangle tile = 3 inch by 5 inches

The area of the rectangle tile = Length × width

= 3×5

= 15 square inches

Time taken to position each rectangle = 6 minutes

The dimensions of the driveway = 2 foot by 4 foot

Convert the dimensions to inches

2 foot by 4 foot = 2×12 inches by 4×12 inches

= 24 inches by 48 inches

The area = Length × Width

= 24×48

= 1152 square inches

Number of tiles needed = Area of the driveway/ Area of the tile

= 1152/15

= 76.8

≈77 tiles

Time taken to create the drive way = Number of tile× Time taken to position each rectangle

= 77×6

= 462 minutes

= 7 hours 42 minutes

Hence, the time taken to create the driveway is 7 hours 42 minutes.

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ΔDEF ≅ Δ RPQ by ASA rule and line segment RF ≅ line segment HR.

In triangle DEF and triangle PQR,

We can see that:

DF = RQ = 5cm

0∠D = ∠Q = 60°

∠F = ∠R = 80°

So, we get that:

ΔDEF ≅ Δ RPQ ( ASA rule.)

Also, we are given that:

quadrilateral RAUF ≅ Quadrilateral HBQR

This means that:

line segment RF ≅ line segment HR.

Therefore we get that, ΔDEF ≅ Δ RPQ by ASA rule and line segment RF ≅ line segment HR.

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Answer: B

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

let the 2 consecutive odd numbers be x and x + 2 , then the sum is

x + x + 2 = 72 , that is

2x + 2 = 72 → B

subtract 2 from both sides

2x = 70 ( divide both sides by 2 )

x = 35

x + 2 = 35 + 2 = 37

the 2 consecutive odd numbers are 35 and 37

A linear equation in slope-intercept form for computer; y = -187.5(x) + 1200.

The value of the computer after 6 years will be $75.

Tim spends $1200 on a new computer.

He sells this same computer to that of a friend for $450 after four years.

Let y represent the computer's current value and x depict the number of years.

Create a linear equation in slope-intercept pattern to model the computer's value over time.

y = mx + b

y = 1200,

when x (time) is 0, thus b = 1200

when x = 4, y = 450,

Calculate the slope m.

4m + 1200 = 450

4m = 450 - 1200

m = -750/4

m = -187.5

Put the value of m in linear equation;

y = -187.5x + 1200

Noe, the value of computer after 6 years, put x = 6.

y = -187.5(6) + 1200

y = 75

Thus, the value of the computer after 6 years will be $75.

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Answer:

x = -3

Step-by-step explanation:

6x + 4 = 4x - 2

-4x        -4x

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

2x + 4 = -2

      -4    -4

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

2x = -6

÷2     ÷2

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

x = -3

I hope this helps!

6x +  4 = 4x -2

2x = -6

x = -3

Zach’s gross income was $79,500.

Given:

Zach's salary = $75,000

His interest income from a CD = $4,500  

Expenses = $5,000

Contribution to an IRA = $4,000

Standard deduction = $5700

Exemption rate = $3,650

Zach’s gross income =  Salary + interest income

                                  = $75,000 + $4,500

                                  = $79,500

Therefore, Zach’s gross income was $79,500.

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Answer: 5/3

Step-by-step explanation:

The scale factor is the same as the ratio of the length of a side of the image to the length of the corresponding side in the preimage.

We know that N'Q'=10 and NQ=6, so the scale factor is 10/6 = 5/3.

The cube of the number five is written in these following forms:

The cube of a number n is equivalent to multiplying the number n by itself three times.

Hence, in expanded form, the cube of a number n is written as follows:

n x n x n.

In exponential form, the cube of a number n is written as follows:

n³.

In this problem, the number of interest is the number five, hence:

The result of the expression, which is the evaluation, is given by:

5 x 5 x 5 = 25 x 5 = 125.

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Answer:

x-4<16

x<16+4

x<20

S:[20] TRUE

Answer:

01234

Step-by-step explanation:

Sequence is smallest to largest therefore the sequence is 01234

Answer:01234

Step-by-step explanation:

Hope this helps.

4.25 light years is 2.4984x10¹³ miles

What is light years?

A light-year, sometimes spelt light year, is a huge measure of length used in astronomy that is comparable to approximately 9.46 trillion kilometers (9.461012 kph) or 5.88 trillion miles (5.881012 mi). A light-year, as defined by the International Astronomical Union (IAU), is the distance that light travels in a vacuum in one Julian year (365.25 days). The phrase light-year is frequently misconstrued as a unit of time since it contains the time-measurement word "year." The light-year is most commonly used in non-specialist contexts and popular scientific publications to indicate distances to stars and other cosmic distances.

1 light years is = 5.8786x10¹² miles

4.25 light years = 5.8786x10¹²x4.25 = 2.4984x10¹³ miles

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Proved that ∠ 2 = 107° because these two angles are supplementary angles .

Angles that add up to 180 degrees are referred to as supplementary angles. For instance, angle 130° and angle 50° are complementary angles since the sum of these two angles is 180°. If the two additional angles are combined, they create a straight line and an angle.

However, it should be emphasized that the two complementary angles do not necessarily need to be close to one another. As a result, any two angles can be supplementary if their sum is 180 degrees. However, it should be emphasized that the two complementary angles do not necessarily need to be close to one another. So, if two angles are complementary, they can be any two angles.

Given : ∠ 1 and ∠ 2 are supplementary angles

that is ∠ 1 + ∠2 = 180 °

Given ∠ 1 = 73°

thus when we substitute this value in the equation we get ∠ 2 = 180 - 73

∠ 2 = 107 °

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After estimation the area of the composite figure is equal to about           22 square units.

As given in the question,

For the given composite figure:

Let us estimate the area of 1 square = 1 square units

Total number of full squares = 12

Total number of more than half = 6

Consider area of more than half as 1 square units.

Total number of half squares = 8

Area of less than half is negligible.

Total estimated area of given composite figure

= 12 + 6 + [(1/2) ×8]

=12 + 6 +4

=22 square units

Therefore, after estimation the area of the composite figure is equal to about 22 square units.

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For the given data set, median is better choice for measure than mean because:

Median is usually a better measure of the center when there are extreme values as it is remains unaffected by the precise numerical value. The most common measure of the center is mean.

Adding all numbers in the data and dividing it by the number of values in the set gives mean of a data. Whereas, median is the middle value in a data set, implying that 50% of data points can have a value smaller or equal to the median and 50% of data points can have a value higher or equal to the median.

For a small data set, firstly, count the number of data points and arrange them in increasing order. If the number of data is odd, then add 1 to the number and divide the result by 2 to obtain the rank of the data whose value is the median.

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The total number of leaves that the science display have is 101 leaves.

As per the question, Thomas wants to display leaf specimens for a science fair.  Thomas has 98 leaves.

Total number of leaves Thomas have = 98

Thomas has 98 leaves, which is 3 fewer than the total needed. To calculate the total number of leaves Thomas need in the science display , we need to add 3 leaves in the total number of leaves Thomas have. So, we can write this mathematically as,

Total number of leaves that the science display have = Total number of leaves Thomas have + 3

Total number of leaves that the science display have = 98 + 3 = 101

So, the science display have a total of 101 leaves.

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Answer:

40°

Step-by-step explanation:

By the exterior angle theorem, [tex]m\angle 1=100^{\circ}[/tex]. Applying the theorem again, we get [tex]m\angle 2=40^{\circ}[/tex]