What is the remainder of (2x^(3)+2x^(2)-9x+9) -:- (x+3)?

This just means that the y coordinate will  always be 3 for all coordinates of x that means that the y coordinate of the point ( -7,1) will change to

(-7,3)

Answer:

x= 1

y= -2

Step-by-step explanation:

1. y+3x=1 subtract 3x from both side to get y= 1-3x

2. Put the new found y value in the equation

3x-4(1-3x)=11

3. Distribute the 4

3x-4+12x=11

4. Add 4 to both sides

3x+12x=15

5. Add the x's

15x=15

6. Solve for x

x=1

7. Plug in the x in the y equation y= 1-3x

y=1-3(1)

8. Solve for y

y= -2

The solution to the system of equations is x = 1 and y = -2.

To solve the system of equations using substitution, we need to solve one of the equations for one variable in terms of the other variable and then substitute that expression into the other equation. Let's solve the second equation for y and then substitute it into the first equation:

Given system of equations:

3x - 4y = 11

y + 3x = 1

Step 1: Solve the second equation for y:

y = 1 - 3x

Step 2: Substitute the value of y from equation (2) into equation (1):

3x - 4(1 - 3x) = 11

Now, let's solve for x:

3x - 4 + 12x = 11

Combine like terms:

15x - 4 = 11

Step 3: Solve for x:

15x = 11 + 4

15x = 15

x = 15 / 15

x = 1

Step 4: Now that we have the value of x, we can find y using equation (2):

y = 1 - 3(1)

y = 1 - 3

y = -2

So, the solution to the system of equations is x = 1 and y = -2.

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The actual consumer spending at a price of $27 per unit is $268.26.

Substitute the given price into the supply equation to get the corresponding quantity supplied:

p = q + 10

27 = q + 10

q = 17

Substitute q = 17 into the demand equation to get the corresponding price:

4q² + p² = 1405

4(17)² + p² = 1405

p² = 1405 - 1156

p² = 249

p = 15.78

The actual consumer spending can be calculated by multiplying the quantity demanded by the price:

Actual consumer spending = quantity demanded x price per unit

= 17 x 15.78

= $268.26

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The demand and supply equations for a certain product are given by space 4 q squared plus p squared equals 1405 and p equals q plus 10 where p is in dollars per unit and q is in units. For a price of $27 per unit, determine the actual consumer spending.

Geometric Sequence

Where:

Therefore

Answer: Letter B

The estimate of 179% of 41 by rounding is about 73.19.

To find this estimate, first convert the percentage to a decimal by dividing it by 100: 179/100 = 1.79. Then, multiply this decimal by 41: 1.79 * 41 = 73.39.

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Answer:

=7:2

Step-by-step explanation:

63:18

divide both sides by 3

=21.6

divide by 3 again

=7:2

Answer:

6 cups to make 126 cookies

Step-by-step explanation:

dozen = 12 cookies

7 x 12= 84

126 - 84 = 42

so you will have to make 42 cookies more and that will be 2 more cups of flour

it total is 6 cups to make 126

Answer:

3/4

Step-by-step explanation:

The 0 <= theta <= pi/2 makes it so the angle must be in the first quadrant. From there, you can use the fact that sin = opposite / hypotenuse.

Thus the opposite side length would be 5, the hypotenuse would be 5, and the adjacent side length would be 3 (by Pythagorean theorem).

Recall that cot = cotangent = 1 / tan. And recall that tan is opposite of adjacent. So tan(theta) = 4/3, and cot (theta) = 3/4.

Answer: (6, 9)

Step-by-step explanation:

We have the pairs:

x   y

0  0

2   3

4   6

These can be written as points (0, 0), (2, 3) and (4, 6)

This seems to be a linear relationship:

A linear relationship can be written as:

y = a*x + b

where a is the slope and b is the y-axis intercept.

For a line that passes through the points (x1, y1) and (x2, y2), the slope can be written as:

a = (y2 - y1)/(x2 - x1).

In the cases where the point (0, 0) belongs to the graph, we have a proportional relationship, which is written as:

y = k*x

In this case we have that point, then this is a proportional relationship.

Now we could just replace the values of one of the points (not the (0,0) point) in the equation in order to find the value of x.

If we use the point (2, 3) we get:

y = 3

x = 2

then:

3 = k*2

3/2 = k

Then the relationship is:

y = (3/2)*x

Now we want to know the ordered pair such that x = 6, then we just eed to replace x by 6 in the above equation:

y = (3/2)*6 = 9

Then we have x = 6 and y = 9

The correct option is (6, 9)

F and G are inverse if both of them satisfy the condition h(x)=x. f(g(x))=g(f(x))=x, as we discovered. The argument f(x) and g(x) are inverse functions is thus established.

If f (x) and g (x) are inverse functions, it can be determined using one of two ways. For more information, see the explanation.

Explanation:

Instance 1

Inverse functions of both functions can be found using the first method.

Example.

Inverse of f (x) = x + 7 is what we're looking for.

We attempt to determine x using the equation y = x + 7.

y = x + 7

Inferring that g (x) is the inverse of f (x) from the fact that x = y 7

Finding g (x inverse )'s is now necessary.

g( x ) = x − 7

y = x − 7

x = y + 7

As a result, we discovered that f (x) is the inverse function of g (x).

f and g are equal if g is inverse of f and vice versa.

The second approach entails locating the compound functions f ( g ( x ) ) and g ( f ( x ) ). In this case, f and g are inverse if they are both h (x ) = x.

Example:

f ( g ( x ) =  [ x − 7 ] + 7

G ( x ) placed as x is the expression in brackets.

f ( g ( x ) ) = x − 7  + 7 = x

g (f ( x ) =  [ x + 7 ] − 7

f ( x ) inserted as x is the expression in brackets.

g ( f ( x ) ) = x + 7 − 7 = x

The equation f ( g ( x ) ) = g ( f ( x ) ) = x was what we discovered. The argument f (x) and g (x) are inverse functions is thus established.

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Answer:

It is not true. 19 - 10 = 9.

:) Hope this helps

Answer:

I think 450

Step-by-step explanation:

I'm not sure but ehh sorry if I'm wrong

Answer:

A is the corect answer

Step-by-step explanation:

when solved it will equal 0=4 which is a contridition.

Answer:

B,C And D have no solution

A has infinit solutions

Answer:

c = 25

Step-by-step explanation:

c = (10/2)² = 25

Answer:

100

Step-by-step explanation:

So this equation would look something like this -->

8(9.75 - 3.25) + 12 x 4 => Since we have decimals then we should subtract in the parenthasees.

9.75 - 3.25 = 6.5

--> 8(6.5) + 12 x 4 --> 8(6.5) + 48 =>

8(6.5) = 52 --> 52 + 48 = 50 + 50 = 100

Thus, we have our answer of 100

Hope this helps!

Answer:

The answer is 100

Step-by-step explanation:

The equation that we are solving is 8(9.75 - 3.25) + 12 x 4

The order of operations are:

These are my steps that I did to solve the problem:

The final answer is 100.

The younger sister is 29.

The older sister is 49.

Mr Fishman's age is 47.

Let:

The difference between the older sister and younger sister's age: y - x = 20 equation 1

Mr Fishman's is 11 years less than twice his young sister's age: 2x - 11 = c equation 2

The difference between Mr Fishman and his older sister's age : y - c = 2

y  - 2 = c equation 3

Let equation 2 and 3 be equal : 2x - 11 = y - 2

2x - y = 11 - 2

2x - y = 9

-y + 2x = 9 equation 4

The two equations that would be used are:

y - x = 20 equation 1

-y + 2x = 9 equation 4

Add both equations together

x = 29

Substitute for x in equation 1

y - 29 = 20

y = 29 + 20

y = 49

y - c = 2

49 - c = 2

c = 49 - 2

c = 47

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Answer:

remember that you start in the [ ] and work your way out

Step-by-step explanation:

Answer:

1x3

2x3

                                                            2x2

                                                             3x2

Step-by-step explanation:

with the 1x3 you get 3 and with 2 x 3 you get 6 which means for the first one you get  3/6 .

for the second one 2x2 =4 and 3x2=6 which equals 4/6

Answer:

\(log_e16=x\)

Step-by-step explanation:

Exponential to Logarithmic: \(b^m=x\) → \(log_bx=m\)

Step 1: Define

eˣ = 16

b = e

x = 16

m = x

Step 2: Rewrite

\(log_bx=m\)

\(log_e16=x\)

EXPLANATION:

To convert degrees to radians, multiply by π / 180 °

since a full circle is 360° or 2π radians.

240°⋅π / 180° radians

Cancel the common factor of 60

4 × π / 3 radians

Combine 4 and π / 3.

4π / 3 radians

HOPE ITS HELPS !!!!!

The coordinates of the points on unit circle at the given angle 240 degrees is\((\frac{-1}{2} ,\frac{-\sqrt{3} }{2} )\)

\(radians= (degrees)\)×\(\frac{\pi }{180}\)

x=rcosθ

y=rsinθ           (where r is the radius of  circle for unit circle r=1)

According to the question

we have

θ = 240 degrees and, r =1

so,  240 degrees = 240×\(\frac{\pi }{180}\)

⇒240 degrees = \(\frac{4\pi }{3}\)   (in radians)

Therefore, the coordinates of the points on unit circle at angle \(\frac{4\pi }{3}\) is calculated as

\(x=(1)cos\frac{4\pi }{3}\)                    (for unit circle r=1)

\(x=\frac{-1}{2}\)

And,

\(y=(1)sin\frac{4\pi }{3}\)                 (for unit circle r=1)

\(y=\frac{-\sqrt{3} }{2}\)

Hence, the coordinates of the point on unit circle at angle 240 degrees is \((\frac{-1}{2} ,\frac{-\sqrt{3} }{2} )\)

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Answer:

Step-by-step explanation:

We will first translate the situation to propositional logic. First, some notation is needed: \(\lor\) is the or logical operation and \(\implies\) is the symbol for logical implication. Define the following events:

J: Jose took the jewelry. L: Mrs Krasov lied, C: a crime was committed. T: Mr Krasov  was in town.

We will symbol the propositions in logical symbols. Recall that \(\neg\) means negation

If Jose took the jewelry or Mrs. Krasov lied, then a crime was committed: \(J\lor L \implies C\)

Mr. Krasov was not in town: \(\neg T\)

If a crime was committed, then Mr. Krasov was in town: \(C\implies T\)

We want to check if the conclusion Jose did not take the jewerly: \(\neg J\) can be deduced from the premises.

First, recall the following:

- if \( a\implies b\) and a is true, then b is true.

- \( a\implies b\) is logically equivalent to \(\neg b \implies a\)

Coming back to the problem, we have the following premises

\(J\lor L \implies C, \neg T, \neg T \implies \neg C, \neg C \implies \neg(J\lor L)\)

where the equivalence for the logical implication was applied. REcall that the negation of an or  statement is g iven by

\( \neg( a \lor b ) = \neg a \land \neg b \) where \( \land\) is the and logical operator.

USing this, we get the premises

\(J\lor L \implies C, \neg T, \neg T \implies \neg C, \neg C \implies \neg J\land \neg L\)

Since \(\neg T\), by having \(\neg T \implies \neg C\), then it must be true that \(\neg C\). Since \(\neg C \implies \neg J\land \neg L\), then it must be true that \( \neg J\land \neg L\). This final conclusion implies that it is true that \(\neg J\) which is the statement that Jose did not take the jewelry.

Answer:

224

Step-by-step explanation:

360.-136.

The linear function through the points (-9,-9) and (-6,0) is given as follows:

y = 3x + 18.

The slope-intercept representation of a linear function is given by the equation shown as follows:

y = mx + b

The coefficients m and b have the meaning presented as follows:

Considering the two points, we have that when x increases by 3, y increases by 9, hence the slope m is given as follows:

m = 9/3.

m = 3.

Hence:

y = 3x + b.

When x = -6, y = 0, hence the intercept b is given as follows:

0 = 3(-6) + b

b = 18.

Hence the equation is:

y = 3x + 18.

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Answer:5

Step-by-step explanation:

The unknown angle of the triangle is 58 degrees.

A triangle is a polygon with three sides. The sum of angles in a triangle is 180 degrees.

Therefore, the unknown angle can be found using the external angle theorem.

The exterior angle theorem states that the measure of an exterior angle is equal to the sum of the measures of the two remote interior angles of the triangle

Hence,

138 = x + 80

x = 138 - 80

x = 58 degrees

Therefore, the unknown angle is 58 degrees.

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The value of square root of x + y squared + z squared is 30

x = 2, y = 3 and z = -5

\(( \sqrt{x + y} )^{2} + z ^{2} \)

substitute the value of x, y and z

\( = ( \sqrt{2 + 3} )^{2} + - 5 ^{2} \)

simplify the square root and square

\( = (2 + 3) + 25\)

\( = 5 + 25\)

\( = 30\)

Ultimately, x + y squared + z squared is 30

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Since -1.7 > -2.33, we faiI tο reject the nuII hypοthesis. Therefοre, we cannοt cIaim with 99% cοnfidence that the mean weight οf the manufacturer's cοmputer parts is Iess than 275 grams

Standard deviatiοn is a statisticaI measure that shοws hοw much variatiοn οr dispersiοn there is frοm the mean οf a set οf data. It is caIcuIated by finding the square rοοt οf the variance.

Tο test this hypοthesis, we need tο perfοrm a οne-sampIe t-test with the fοIIοwing hypοtheses:

NuII hypοthesis: The mean weight οf the cοmputer parts prοduced by the manufacturer is greater than οr equaI tο 275 grams.

AIternative hypοthesis: The mean weight οf the cοmputer parts prοduced by the manufacturer is Iess than 275 grams.

We wiII use a οne-taiIed test with a IeveI οf significance οf 1%, which cοrrespοnds tο a t-scοre οf -2.33 (frοm the t-distributiοn tabIe with 255 degrees οf freedοm).

The test statistic fοr this sampIe is:

t = (sampIe mean - hypοthesized mean) / (sampIe standard deviatiοn / √(sampIe size))

t = (274.3 - 275) / (25.9 / √(256))

t = -1.7

Since -1.7 > -2.33, we faiI tο reject the nuII hypοthesis. Therefοre, we cannοt cIaim with 99% cοnfidence that the mean weight οf the manufacturer's cοmputer parts is Iess than 275 grams

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Answer:Fail to reject the null hypothesis. There is not enough evidence to oppose the company's claim.

Step-by-step explanation:The mean weight from a sample of 256 computer parts created by a computer manufacturer was 274.3 grams, with a standard deviation of 25.9 grams. Can this company claim that the mean weight of its manufactured computer parts will be less than 275 grams? Test this hypothesis using a 1% level of significance.

Reject the null hypothesis. There is not enough evidence to oppose the company's claim.

Fail to reject the null hypothesis. There is not enough evidence to oppose the company's claim.

Reject the null hypothesis. There is enough evidence to oppose the company's claim.

Fail to reject the null hypothesis. There is enough evidence to oppose the company's claim.

The test statistic needs to fall within the rejection regions that are above and below the critical z-score associated with a 1% level of significance in order to reject the null hypothesis. Otherwise, we will fail to reject the null hypothesis.

1

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