Given the algebraic expression 5x + a² - x² , what is its numerical value for x = 2 and a = 3
a) 20
b) 18
c) 15
d) 12​

The correct option for the midpoint of the line segment , where (-1,-2) and (4,-2), is  (1.5,-2).

To find the midpoint of a line segment, we use the midpoint formula, which states that the coordinates of the midpoint (M) are the average of the coordinates of the endpoints.

The midpoint formula is given by:

M = ((x1 + x2) / 2, (y1 + y2) / 2)

Let's apply this formula to find the midpoint of the line segment AB:

x1 = -1, y1 = -2 (coordinates of point A)

x2 = 4, y2 = -2 (coordinates of point B)

Using the midpoint formula:

M = ((-1 + 4) / 2, (-2 + (-2)) / 2)

 = (3 / 2, -4 / 2)

 = (1.5, -2)

Therefore, the midpoint of the line segment , with endpoints (-1,-2) and (4,-2), is (1.5, -2).

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Answer:

-1 and -2

Step-by-step explanation:

The function 2 represented by the equation f(x) = -(x - 2)² + 5 has the larger maximum.

Function, in mathematics, an expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable.

The functions are given as:

Function 1

f(x) = -(x - 4)² + 1

Function 2:

f(x) = -(x - 2)² + 5

A quadratic function is represented as a (x - h)² + k, when a is negative then, the vertex of the function is a maximum. In both functions, the value of a is -1. This means that both functions are at a maximum

The values of k in both functions are k = 1 and k = 5. By comparison, 5 is greater than 1. Therefore, function 2 has larger maximum.

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complete question;

The following graph describes function 1, and the equation below it describes function 2. Determine which function has a greater maximum value, and provide the ordered pair. Function 1 graph of function f of x equals negative x squared plus 8 multiplied by x minus 15 Function 2 f(x) = −x2 + 2x − 15 Function 1 has the larger maximum at (4, 1). Function 1 has the larger maximum at (1, 4). Function 2 has the larger maximum at (−14, 1).

Answer:

Step-by-step explanation:

1. 1.643

2. -0.03

Step-by-step explanation:

hope it helps.

Answer:

13 vertices. In geometry, the augmented hexagonal prism is one of the Johnson solids (J54). As the name suggests, it can be constructed by augmenting a hexagonal prism by attaching a square pyramid (J1) to one of its equatorial faces. When two or three such pyramids are attached, the result may be a parabiaugmented hexagonal prism, a metabiaugmented hexagonal prism or a triaugmented hexagonal prism. Augmented hexagonal prism.

Type: Johnson J53 - J54 - J55

Faces: 2x2 triangles 1+2x2 squares 2 hexagons

Edges: 22

Vertices: 13

Answer:

9 − 2y

x + 2y = 9

2x + 4y = 20

x + 3y = 16

2x − y = 11

y = 11 − 2x

4x − 3y = -13

y = 10 + x

-3x + 3y = 30

2x + y = 11

x − 2y = -7

x = 2, y = 7

arrowRight

x = 5, y = 2

arrowRight

x = 3, y = 5

arrowRight

x = 7, y = 3

arrowRight

Step-by-step explanation:

is the right equation and trust me take from a math teacher

Answer:

Step-by-step explanation:

1.3-y/0.2=1.8

-y/0.2=0.5

y=-0.1

Answer:

y = -0.1

Step-by-step explanation:

1. subtract 1.3 from both sides 1.3 - y/0.2 - 1.3 = 1.8 - 1.3

2. simplify -y/0.2 = 0.5

3. multiply both sides by 0.2 0.2(-y/0.2) = 0.5 x 0.2

4. simplify -y = 0.1

5. divide both sides by -1 -y/-1 = 0.1/-1

and you’re done! c:

The length of s in the ΔRST  when  r = 58 cm, m∠S=48° and  m∠T=29°: 42cm

It states that the ratio of the length of a side of a triangle to the sine of the angle opposite that side is equal for all sides of the triangle:

sin(α)/a = sin(β)/b = sin(γ)/c,

where α, β, and γ are the angles of the triangle, and a, b, and c are the lengths of the sides opposite those angles.

Given that,

The triangle  ΔRST,

r = 58 cm

m∠S=48° and m∠T=29°

the length of  s = ?

we can use here sine rule,

sin(S)/s = sin(R)/r

It is known that sum of all the interior angles of a triangle is 180°

m∠S + m∠T + m∠R = 180°

48° + 29° +  m∠R = 180°

m∠R =  103°

So, now we can substitute the value angle R in the formula:

sin(48°)/s = sin(103°)/58

s  = [sin(48°) x 58] / sin(103°)

s  = 41.99 ≈ 42 cm

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Answer:

2

Step-by-step explanation:

Answer:

I would say 8.

Step-by-step explanation:

Using the Pythagorean Theorem, a2+b2=c2.

7^2+5^2=c^2

49+25=74

Now find the square roots of all numbers...

7+5= about 8.

The line of intersection between two planes can be represented by symmetric equations. In this case, the symmetric equations for the line of intersection are:

x = 0

y = -c

z = c

To find the symmetric equations for the line of intersection,

first we set up a system of equations using the normal vectors of the planes.

The normal vector of Plane 1 is [5, -2, -2].

The normal vector of Plane 2 is [4, 1, 1].

Let's call the direction vector of the line of intersection "d = [a, b, c]".

Next, we set up a system of equations using the dot product between the direction vector and the normal vectors of the planes.

For Plane 1: [5, -2, -2] ⋅ [a, b, c] = 0

For Plane 2: [4, 1, 1] ⋅ [a, b, c] = 0

Simplifying these equations, we have:

5a - 2b - 2c = 0

4a + b + c = 0

Solving the system of equations,

Multiplying the second equation by 2, we get:

8a + 2b + 2c = 0

Adding this equation to the first equation, we eliminate b and c:

13a = 0

a = 0

Substituting a = 0 back into the second equation, we find:

0 + b + c = 0

b + c = 0

b = -c

Therefore, the direction vector of the line of intersection is d = [0, -c, c], where c can be any real number.

Then, write the symmetric equations for the line of intersection.

We can choose a point on the line of intersection as the origin, which gives us the point (0, 0, 0).

Thus, the symmetric equations for the line of intersection are given below:

x = 0, y = -c, z = c

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Answer:

only 2

Step-by-step explanation:

because a parallel line through a point can only go through the point once

(cool pfp... NLE fire tho)

Answer:

3x^2 - 15 = 0

-x^2 + 14 = 0

-2x^2 + 4x - 5 = 0

Step-by-step explanation:

3x^2 = 15

3x^2 - 15 = 0

-x^2 = -14

-x^2 + 14 = 0

4x - 2x^2 = 5

-2x^2 + 4x - 5 = 0

There would be 260 lifegurads

The easy way is to divide 18.2 by 0.07 to get your answer

If my answer is wrong pls let me know i try my best to edit and make it right

Answer:

Benidorm quiz  

1. Where is Benidorm holiday resort located?  

JORDAN  

2. What is the average temperature of Benidorm in summer?  

26 C  

3. Before 1950s Benidorm was a small ___FISHING______ village.  

4. Why did the town council encourage tourism in Benidorm?  

TO VISIT BENIDORM  

5. How many hotels were found in Benidorm in 1959?  

6. Explain package holidays as they were used in Benidorm                                                                                

7. Give three reasons why Benidorm is an excellent tourist resort  

(a)  

(b)  

©  

8. State four tourist attractions at Benidorm

Step-by-step explanation:

Benidorm quiz  

1. Where is Benidorm holiday resort located?  

JORDAN  

2. What is the average temperature of Benidorm in summer?  

26 C  

3. Before 1950s Benidorm was a small ___FISHING______ village.  

4. Why did the town council encourage tourism in Benidorm?  

TO VISIT BENIDORM  

5. How many hotels were found in Benidorm in 1959?  

6. Explain package holidays as they were used in Benidorm                                                                                

7. Give three reasons why Benidorm is an excellent tourist resort  

(a)  

(b)  

©  

8. State four tourist attractions at Benidorm

Answer:

m<3 = 68°

Step-by-step explanation:

Given that m<7 = 22°, you can use the Alternate Exterior Angles Theorem to solve for m<5, which is also 22°.

Given that m<5 = 22°, you can use the Vertical Angle rule to solve for m<2, which is also 22°.

If m || n and y is perpendicular to m, that also makes y perpendicular to n.

Since y and x are parallel, this makes x also perpendicular to n.

This makes the m<2 + m<3 = 90°.

m<2 = 22°

22° + m<3 = 90°

m<3 = 68°

Where is the picture?

Considering that the data has no outliers, the mean of 3.2 inches should be used to describe the center of the data represented in this line plot.

It depends if the data-set has outliers or not.

The dot plot gives the number of times each measure appears. Since there is no outliers, that is, all values are close, the mean should be used. It is given by:

M = (2 x 1 + 3 x 2 + 2 x 3 + 1 x 5 + 1 x 6 + 1 x 7)/(2 + 3 + 2 + 1 + 1 + 1) = 3.2 inches.

The mean of 3.2 inches should be used to describe the center of the data represented in this line plot.

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Answer: median 2.5

Step-by-step explanation:

Step-by-step explanation:

If you dilate a image by a factor of 2 you are multiplying each side by 2.

Side AC = Original AC x 2 = 8 x 2 = 16

Side AB = Original AB x 2 = 15 x 2 = 30

Side BD = Original BD x 2 = 8 x 2 = 16

Side CD = Original CD x 2 = 15 x 2 = 30

Answer:

A.

Step-by-step explanation:

A benchmark is a halfway point between two set points. Typically, the best way to find a benchmark is to make a number line with both of the points that you need to find the benchmark between, then you basically just find the halfway mark.

I hope this helps. If you need a further explanation let me know :)

Accounts receivable (Art) $1,078Sales Discount    $22Cash $1,100

Journal entry is a process of recording every transaction in a business in the order they take place. In the case of Cabela's, the following merchandising transactions were recorded:1. Purchased merchandise from Boden Company for $6,000 under credit terms of 1/15, n/30, FOB shipping point, invoice dated July 1The cost of merchandise purchased from Boden Company is debited while Accounts payable (Boden Company) is credited. The cost of merchandise is calculated as $6,000 * (1-1%) = $5,940 while the remaining $60 is the discount received.

Cost of merchandise   $5,940Accounts payable (Boden)     $5,9402. Sold merchandise to Creek Company for $900 under credit terms of 2/10, n/60, FOB shipping point, invoice dated July 2.The sales revenue is credited while the cost of goods sold is debited with the cost of the merchandise. This is because the cost of merchandise sold is an expense and expenses are debited.

Sales revenue $900Cost of goods sold $500Merchandise inventory $5003. Paid $125 cash for freight charges on the purchase of July 1The Freight Out expense is debited while Cash is credited.

Freight out expense $125Cash $1254. Sold merchandise that had cost $1,300 for $1,700 cashThe cash received for the sale is debited while the cost of goods sold is credited with the cost of the merchandise. This is because the cost of merchandise sold is an expense and expenses are debited.

Cash $1,700Cost of goods sold $1,300Merchandise inventory $1,3005. Purchased merchandise from Leight Company for $2,200 under credit terms of 2/15, n/60, FOB destination, invoice dated July 9The cost of merchandise purchased is debited while Accounts payable (Leight Company) is credited. The cost of merchandise is calculated as $2,200 * (1-2%) = $2,156 while the remaining $44 is the discount received.

Cost of merchandise   $2,156Accounts payable (Leight)     $2,1566. Returned $200 of merchandise purchased on July 9 from Leight Company and debited its account payable for that amount.The Accounts payable is debited with the amount of merchandise returned while the Merchandise inventory account is credited with the cost of the returned merchandise.Accounts payable (Leight)   $200Merchandise inventory $2007. Received the balance due from Creek Company for the invoice dated July 2, net of the discountThe accounts receivable account is debited with the net amount received while the sales discount account is credited with the discount received.

Accounts receivable (Creek) $882Sales discount     $18Cash $9008. Sold merchandise that cost $800 to Art Company for $1,200 under credit terms of 2/15, n/60, FOB shipping point, invoice dated July 19The sales revenue is credited while the cost of goods sold is debited with the cost of the merchandise.

This is because the cost of merchandise sold is an expense and expenses are debited.Sales revenue $1,200Cost of goods sold $800Merchandise inventory $8009. Gave a price reduction (allowance) of $100 to Art Company for merchandise sold on July 19 and credited Art's accounts receivable for that amount.

The allowance account is debited while Accounts receivable (Art Company) is credited.Allowance    $100Accounts receivable (Art) $10010. Paid Leight Company the balance due, net of discountAccounts payable (Leight) is debited with the net amount paid while Cash is credited.Accounts payable (Leight)   $2,128Cash $2,12811.

Received the balance due from Art Company for the invoice dated July 19, net of discount The accounts receivable account is debited with the net amount received while the sales discount account is credited with the discount received.

Accounts receivable (Art) $1,078Sales discount    $22Cash $1,100

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The integer values of sp, 4, and T are 5, 4, and 18, respectively.

Given the formula 5"(.)f(+h) - 25() + f(-5)1++O(M)2, use the Taylor series f(+h) – 5(0) + 18"(c) + "(.) (6) + O(h***) to determine the integer values of sp, 4, and T. (Note that integer values can be negative).

When using the Taylor series f(+h) – 5(0) + 18"(c) + "(.) (6) + O(h***) to determine the integer values of sp, 4, and T for the formula 5"(.)f(+h) - 25() + f(-5)1++O(M)2, we can consider the value of f(x) in the formula given above to be f(x) = 5x³ − 2x² + x + 4.

This implies that:

sp = 5 (i.e., f(+h) = f(-5) = 5)

f(0) = 4

T = 18 (i.e., c = 1)

Therefore, the integer values of sp, 4, and T are 5, 4, and 18, respectively.

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Answer:

11 people ate at least 1 banana.

Answer:

f(-9)= 135

Substitute the -9 everywhere there's an x.