The parabola X = y-9 opens:

Answer:

6

(If you like this answer i would appreciate if u give brainliest but otherwise, i hope this helped ^^)

Step-by-step explanation:

To find the missing number in the given sequence, let's analyze the pattern:

2, 4, 3, 6, 6, 3, 8, 9, 7, 9, 8, ???

Looking at the sequence, we can identify a few patterns:

The sequence alternates between increasing and decreasing numbers.

The first two numbers, 2 and 4, are increasing.

The next two numbers, 4 and 3, are decreasing.

The following two numbers, 3 and 6, are increasing.

The subsequent two numbers, 6 and 3, are decreasing.

The next two numbers, 3 and 8, are increasing.

The subsequent two numbers, 8 and 9, are increasing.

Based on these observations, it appears that the sequence is following a pattern where it alternates between increasing and decreasing numbers, but the specific values being added or subtracted are not consistent.

Now let's determine the missing number:

From the pattern, the next two numbers should be decreasing. Following the pattern of alternating between increasing and decreasing numbers, the missing number after the last given number (8) should be less than 9.

Let's assume the missing number is x:

8 - x

Since the previous decreasing sequence was 6 - 3, we can assume that x is 1 less than the previous number (3):

8 - (3 - 1) = 8 - 2 = 6

Therefore, the missing number in the sequence is 6.

The complete sequence is:

2, 4, 3, 6, 6, 3, 8, 9, 7, 9, 8, 6

Answer:

8 units, 3 units, √73 units

16 units, 30 units, √50 units

Step-by-step explanation:

Given the above side lengths of a triangle, to determine which triangles are right triangles, we would make use of the Pythagorean theorem which holds that the sum of the square of two smaller legs of a right triangle would give us the square of the length of the longest leg.

That is a² + b² = c²

Thus, let's check each options given.

Let c be the 3rd units given in each option, which is the longest leg.

Option 1:

c² = 8² + 15²

c² = 64 + 225 = 289

c = √289 = 17

∆ with lengths 8 units, 15 units, √75 units is not a right triangle because c ≠ √75, from calculation.

Option 2:

c² = 8² + 3²

c² = 64 + 9 = 73

c = √73 units

∆ with lengths 8 units, 3 units, √73 units is a right triangle because c = √73 from calculation

Option 3:

c² = 16² + 30²

c² = 256 + 900 = 1156

c = √1156 = 34

∆ with lengths 16 units, 30 units, √50 units is not a right triangle because c ≠ √50 units from calculation.

Option 4:

c² = 5² + 7²

c² = 25 + 49 = 74

c = √74 units

∆ with lengths 16 units, 30 units, √50 units is a right triangle because c =  √74 units from calculation.

Therefore, based on the sets of side lengths given, the following are right triangles:

8 units, 3 units, √73 units

16 units, 30 units, √50 units

Answer:

8 units, 3 units, √73 units

16 units, 30 units, √50 units

Step-by-step explanation:

Answer:

- Banking Operations salary in India with less than 1 year of experience to 10 years ranges from ₹ 1.4 Lakhs to ₹ 7 Lakhs with an average annual salary of ₹ 3.1 Lakhs based on 261 latest salaries

Answer:

3x(7-3)y2=21

Step-by-step explanation:

hope it is write

Answer:

0.75 g ≤ 35

Step-by-step explanation:

if each games costs $0.75, then the answer of g will be given by 35/0.75.

he can go up to exactly $35 but not over

so, the inequality is given by 0.75 g ≤ 35

Answer:

27

Step-by-step explanation:

Answer:

3

Step-by-step explanation:

because I said so my dude

The probability that both disc are white will be 1/9.

The probability that both disc are red will be 10 /27.

Number of red disc = 6

Number of white disc = 3

Total number of disc = 3 + 6 = 9 disc

The probability that both disc are white will be:

= 3/9 × 2/8

= 6/72

= 1/9

The probability that both disc are red will be:

= 6/9 × 5/9

= 30/81

= 10/27

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Answer:

D

Step-by-step explanation:

Because of how they have a pie and a six involved meaning if you were to divided both you could get the same thing.

Answer:

tan(-pie/6)

Step-by-step explanation:

Answer:

Dependent variable = Total daily cost

Independent variable = number of items manufactured

2500 ;

9750

Step-by-step explanation:

Given the cost function in. A manufacturing company :

C(x) = 7.25x + 2500 ; Where

C(x) = total daily cost

x = number of items manufactured

The Independent variable is the variable whose value causes a change in the measured variable, this is the number of items manufactured, and the variable which charges as the predictor variable charges is the dependent variable (Total daily cost).

2.)

C(0) ;

C(x) = 7.25x + 2500

Put x = 0

C(0) = 7.25(0) + 2500

Cost = 2500

This is the total daily cost even if no items are produced, this is probably the fixed cost of daily production.

3.)

C(1000)

C(x) = 7.25x + 2500

Put x = 1000

C(0) = 7.25(1000) + 2500

Cost = 7250 + 2500

Cost = 9750

This is the total cost including variable cost of producing 1000 items.

Answer:

The answer is 19.

Step-by-step explanation:

3x+1+12=9x+1

3x+13=9x+1

13=6x+1

12=6x

x=2

3(2)+1+12=19

Answer:

CA = 19

Step-by-step explanation:

3x + 1 + 12 = 9x + 1

combine like terms

3x + 13 = 9x + 1

Subtraction property of equality

3x - 3x + 13 = 9x - 3x + 1

13 = 6x + 1

Subtraction property of equality

13 - 1 = 6x + 1 - 1

12 = 6x

Division property of equality

12/6 = 6x/6

2 = x

Symmetric property of equality

x = 2

Substitute x for 2

9(2) + 1 = 19

The solutions to the equation x² + 6x + 1 = 0 are x = -3 + 2√(2) or x = -3 - 2√(2)

What is a quadratic equation?

A quadratic equation is a second-degree polynomial equation of the form ax² + bx + c = 0 where a, b, and c are constants, and x is the variable. The solutions can be found using the quadratic formula x = (-b ± √(b² - 4ac)) / (2a) or by factoring the quadratic expression into two linear factors.

To solve the quadratic equation x² + 6x + 1 = 0, we can use the quadratic formula:

x = (-b ± √(b² - 4ac)) / (2a)

where a, b, and c are the coefficients of the quadratic equation. Substituting the values from our equation, we get:

x = (-6 ± √(6²- 4(1)(1))) / (2(1))

Simplifying inside the square root, we get:

x = (-6 ± √(32)) / 2

We can simplify the square root further by factoring out a 4:

x = (-6 ± 4√(2)) / 2

Simplifying the fraction, we get:

x = -3 ± 2√(2)

Therefore, the solutions to the equation x² + 6x + 1 = 0 are:

x = -3 + 2√(2) or x = -3 - 2√(2)

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Step-by-step explanation:

When x = 1, then y = _-2___

Answer:

bro ngl idek

Step-by-step explanation:

:/

Answer: ok

Step-by-step explanation: :D

Answer:

F

Step-by-step explanation:

because 1 dozen cost $1

The system of equations as an augmented matrix is \(\left[\begin{array}{ccc|c}1&0&0&100\\0&-5&-7&350\\0&-5&-9&200\end{array}\right]\)

From the question, we have the following parameters that can be used in our computation:

x                  = 100

   -5m  - 7c  = 350

   -5m  - 9c  = 200

The above means that the variables in the system of equations are

x, m and c

So, we have the following representation

x    m     c        

1    0      0        100

0   -5    -7        350

0   -5    -9        200

When represented as an augmented matrix, we have

\(\left[\begin{array}{ccc|c}1&0&0&100\\0&-5&-7&350\\0&-5&-9&200\end{array}\right]\)

Hence, the augmented matrix is \(\left[\begin{array}{ccc|c}1&0&0&100\\0&-5&-7&350\\0&-5&-9&200\end{array}\right]\)

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Given:

Grethen's gross annual salary = $34, 788

The maximum amount of rent she can afford to pay per month can be found using the formula:

Applying the formula:

Hence, the maximum amount of rent she can afford to pay per month is $2899

Answer: $2899

Cylindrical Shells Method: volume = 2π∫0^5 x (x^3) dx = 2π∫0^5 x^4 dx = 2π[x^5/5]^5_0 = 2π(5^5/5) = 200π.

To find the volume of the solid generated by rotating the region bounded by the given curves (y = x^3 and y = 0) around the y-axis, we use the Cylindrical Shells Method. First, we need to set up the integral. We have 2π∫0^5 x (x^3) dx. To solve this integral, we use the power rule for integration. This states that if we have an integral of x^n, the antiderivative is x^(n+1)/(n+1). Therefore, the antiderivative of our integral is 2π∫0^5 x^4 dx. Now that we have the antiderivative, we can solve the integral by applying the fundamental theorem of calculus. This states that the integral of a function is equal to the difference between the evaluated antiderivative at the upper and lower limits of the integral. Therefore, the volume of the solid generated is V = 2π[x^5/5]^5_0 = 2π(5^5/5) = 200π.

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Answer:

15/2

Step-by-step explanation:

Answer:

7.5

Step-by-step explanation:

4+2x-7= 12

2x-7= 12-4

2x= 8+7

x= 15/2

x= 7.5

a. The answer is: The fewest number of multibase blocks required to represent 20 longs in base seven is 2 flats.

b. The answer is: The fewest number of multibase blocks required to represent 10 longs in base three is 3 flats and 1 unit.

a. To represent 20 longs in base seven, we need to find the fewest number of multibase blocks required.

In base seven, we have the following conversions:

1 long = 1 unit

1 flat = 10 units

1 block = 10 flats

To represent 20 longs, we can use 2 flats (each flat representing 10 units) and 0 units since there are no remaining units.

So, the fewest number of multibase blocks required would be 2 flats.

Therefore, the answer is: The fewest number of multibase blocks required to represent 20 longs in base seven is 2 flats.

b. To represent 10 longs in base three, we need to find the fewest number of multibase blocks required.

In base three, we have the following conversions:

1 long = 1 unit

1 flat = 3 units

1 block = 3 flats

To represent 10 longs, we can use 3 flats (each flat representing 3 units) and 1 unit since there is one remaining unit.

So, the fewest number of multibase blocks required would be 3 flats and 1 unit.

Therefore, the answer is: The fewest number of multibase blocks required to represent 10 longs in base three is 3 flats and 1 unit.

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Answer:

5.099

Step-by-step explanation:

Answer:

x = 1, y = -1

Step-by-step explanation:

If we have the two equations:

\(4x+3y=1\) and \(-3x - 6y = 3\), we can look at which variable will be easiest to eliminate.

\(y\) looks like it might be easy to get rid of, we just have to multiply \(4x+3y=1\)  by 2 and y is gone (as -6y + 6y = 0).

So let's multiply the equation \(4x+3y=1\)  by 2.

\(2(4x + 3y = 1)\\8x + 6y = 2\)

Now we can add these equations

\(8x + 6y = 2\\-3x-6y=3\\\)

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

\(5x = 5\)

Dividing both sides by 5, we get \(x = 1\).

Now we can substitute x into an equation to find y.

\(4(1) + 3y = 1\\4 + 3y = 1\\3y = -3\\y = -1\)

Hope this helped!

Answer:

20

Step-by-step explanation:

5 x 4 x 1

The numeric value of the expression in this problem is given as follows:

-77.

The expression in the context of this problem is defined as follows:

\(2^5\) x (-2) - 4 x 5 + 7.

Considering the PEMDAS acronym, the power operation has the precedence over the remaining operations, hence:

\(2^5\) x (-2) - 4 x 5 + 7 = 32 x (-2) - 4 x 5 + 7.

Then, following the same acronym, we have that the multiplication operation has precedence over the addition/subtraction operations, hence:

32 x (-2) - 4 x 5 + 7 = -64 - 20 + 7.

Finally, we can just subtract and add the numbers to obtain the numeric value of the expression as follows:

-64 - 20 + 7 = -77.

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Answer:

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

Vertex form of a quadratic function:

Given (h, k) = (-2, -13) and a point (0, - 5).

Substitute all into equation and solve for a:

The parabola is:

Convert it to the standard form:

Answer:

\(f(x)=2x^2+8x-5\)

Step-by-step explanation:

\(\boxed{\begin{minipage}{5.6 cm}\underline{Vertex form of a quadratic equation}\\\\$y=a(x-h)^2+k$\\\\where:\\ \phantom{ww}$\bullet$ $(h,k)$ is the vertex. \\ \phantom{ww}$\bullet$ $a$ is some constant.\\\end{minipage}}\)

Given:

Substitute the given vertex and point into the Vertex formula and solve for a:

\(\implies -5=a(0-(-2))^2+(-13)\)

\(\implies -5=a(0+2)^2-13\)

\(\implies -5=4a-13\)

\(\implies 4a=8\)

\(\implies a=2\)

Substitute the given vertex and found value of a into the Vertex formula:

\(y=2(x+2)^2-13\)

The standard form of a quadratic function is  f(x) = ax² + bx + c

Expand the function in vertex form to standard form:

\(\implies y=2(x^2+4x+4)-13\)

\(\implies y=2x^2+8x+8-13\)

\(\implies y=2x^2+8x-5\)

Answer:

Step-by-step explanation:

Given vector the following vector equations OA = 13x+7y , OB = 5x+12y and CO = -15x+12y, the following expression is true about vector OA, OB and OC;

OA+OB = CO (CO is the resultant since its is moving in the opposite direction compare to OA and OB)

Also BO+OA = BA and AO+OC = AC

If OB = 5x+12y, then BO = -(5x+12y)

BO = -5x-12y (BO = -OB)

Since BO+OA = BA

BA = -5x-12y + 13x+7y

BA = -5x+13x-12y+7y

BA = 8x-5y

Similarly AO+OC = AC

Since AO = -OA and OC = -CO

-OA-CO  = AC

AC = -(13x+7y)-(-15x+12y)

AC = -13x-7y+15x-12y

AC = -13x+15x-7y-12y

AC = 2x-19y

we solved the compound  inequalities and got the solution, x≤3 And x≥17 or 3≥x≥17

An algebraic expression that represents the inequalities between two or more terms. These inequal terms are separated by either "and " or "or"

In order to solve compound inequalities, we add or subtract the same number on both side or same number is used for division and multiplication on both sides.

As example, -x+10≥7 and x-10≥7

  the above are compound inequalities. So as to solve, firstly we subtract 10 in both side and in the next we add 10 in both sides.

   -x+10-10≥7-10    and x-10+10≥7+10

-x≥-3 and x≥17

due to negative sign   the inequal sign is reversed.

hence, x≤3 and x≥17

finally, 3≥x≥17

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Step-by-step explanation:

To find the quartile, decile, and percentile for the given dataset, we need to first organize the data in ascending order:

63.0, 63.4, 63.7, 64.2, 64.3, 69.1, 75.3, 81.6, 82.2, 82.9, 83.4, 84.2, 84.6, 84.6, 87.0

Now, we can use the following formulas to find the quartile, decile, and percentile:

Quartile: A quartile is a type of quantile that divides the dataset into four equal parts. To find the quartile, we can use the following formulas:

Q1 (first quartile): (n+1)/4th term

Q2 (second quartile or median): (n+1)/2nd term

Q3 (third quartile): 3(n+1)/4th term

Using the above formulas and the given data, we get:

Q1 = (15+1)/4 = 4th term = 64.3

Q2 = (15+1)/2 = 8th term = 81.6

Q3 = 3(15+1)/4 = 12th term = 84.2

Decile: A decile is a type of quantile that divides the dataset into ten equal parts. To find the decile, we can use the following formula:

D(n) = (n+1)/10th term, where n = 1, 2, ..., 9

Using the above formula and the given data, we get:

D1 = (15+1)/10 = 1.6th term = 63.4

D2 = 3.6th term = 64.2

D3 = 5.6th term = 69.1

D4 = 7.6th term = 81.6

D5 = 9.6th term = 82.9

D6 = 11.6th term = 84.2

D7 = 13.6th term = 84.6

D8 = 15.6th term = 87.0