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Answer 1
Answer:

Answer:

From the 1st picture to the 2nd it is an reduction

Step-by-step explanation:


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Is (0,5) a solution to the equation y=2x?​

Divide 44 in the ratio 2:8:6

Answers

Answer:

0.15384615384

Step-by-step explanation:

There are 16 entrees available at a restaurant. From these, Archie is to choose 6 for his party. How many groups of 6 entrees can he choose, assuming that the order of the entrees chosen does not matter ?

Answers

Answer: 8008

Step-by-step explanation:

Total entrees = 16

Number of entrees to choose = 6

Since order does not matter , so we combinations .

Number of combinations to choose r things out of n = C(n,r)=(n!)/(r!(n-r)!)

Then, total ways to choose 6 entrees = C(16,6)=(16!)/(6!10!)

=(16*15*14*13*12*11*10!)/((720)10!)\n\n=	8008

Hence, the required number of ways= 8008

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Answers

Really, now, do you think it fair (or realistic) to hope that someone will do all your homework for you?  Please be thoughtful and courteous and post no more than one or two questions at a time.

Rodney Ranger is a shoe salesman for More Co. He is paid $4.60 per hour plus a commission of 3% on all sales. For the week, assuming Rodney works 30 hours and has sales of $2,400, what is his gross pay?

Gross Pay = ($4.60/hr)(30 hrs) + 0.03($2400).  Complete the multiplications to obtain your final answer.


A, B & C form the vertices of a triangle.CAB = 90°, ABC = 60° and AB = 8.6.

Calculate the length of BC rounded to 3 SF.

BC =

Answers

Answer:

BC = 17.2.

Step-by-step explanation:

Since CAB = 90º, this is a right triangle.

The triangle format is given below:

C

A           B

We have that AB = 8.6, and angle B measures 60º.

Length of BC:

BC is the hypotenyse.

Side AB is adjacent to angle B = 60º.

In a right triangle, angle \alpha, it's adjacent side with length s and the hypotenuse h are related by the cosine of the angle, that is:

cos(\alpha) = (s)/(h)

In this question, we have an angle of 60º, with has cosine 0.5. We also have that side AB = s = 8.6, and the hypotenuse h is side BC. So

cos(\alpha) = (s)/(h)

0.5 = (8.6)/(h)

0.5h = 8.6

h = (8.6)/(0.5)

h = 17.2

BC = 17.2.

Let a1equals[Start 3 By 1 Matrix 1st Row 1st Column 1 2nd Row 1st Column 2 3rd Row 1st Column negative 1 EndMatrix ]​, a2equals[Start 3 By 1 Matrix 1st Row 1st Column negative 7 2nd Row 1st Column negative 7 3rd Row 1st Column 2 EndMatrix ]​, and bequals[Start 3 By 1 Matrix 1st Row 1st Column 3 2nd Row 1st Column negative 22 3rd Row 1st Column h EndMatrix ]. For what​ value(s) of h is b in the plane spanned by a1 and a2​?

Answers

Answer:

For h= 25,  b in the plane spanned by a1 and a2​

Step-by-step explanation:

a1= \left[\begin{array}{c}1\n2\n-1\end{array}\right] \na2 = \left[\begin{array}{c}-7\n-7\n2\end{array}\right] \n\nb   = \left[\begin{array}{c}3\n-22\nh\end{array}\right]

we have to find value of h for which  b in the plane spanned by a1 and a2.

For this the linear systems given by the  following augmented matrix must be consistent.

\left[\begin{array}{cc|c}1&-7&3\n2&-7&-22\n-1&2&h\end{array}\right]

Reduce the augmented matrix into row echelon form:

R_(2) - 2R_(1) , R_(3) + R_(1)\n\n\left[\begin{array}{cc|c}1&-7&3\n0&7&-28\n-0&-5&h+3\end{array}\right]\n\n7R_(3)+5R_(2)\n\n\left[\begin{array}{cc|c}1&-7&3\n0&7&-28\n-0&0&7h-175\end{array}\right]

For system to be consistent:

                         7h-175 =0\n7h=175\nh=25

Which statement is true regarding the graphed functions?f(0) = 2 and g(–2) = 0
f(0) = 4 and g(–2) = 4
f(2) = 0 and g(–2) = 0
f(–2) = 0 and g(–2) = 0

Answers

let's analyze each case to determine the solution

case 1) f(0) = 2 and g(–2) = 0

For x=0-----> find the value of f(0) in the graph-----> f(0)=4

For x=-2-----> find the value of g(-2) in the graph-----> g(-2)=0

therefore

the statement of the case 1) is false

case 2) f(0) = 4 and g(–2) = 4

For x=0-----> find the value of f(0) in the graph-----> f(0)=4

For x=-2-----> find the value of g(-2) in the graph-----> g(-2)=0

therefore

the statement of the case 2) is false

case 3) f(2) = 0 and g(–2) = 0

For x=2-----> find the value of f(2) in the graph-----> f(2)=0

For x=-2-----> find the value of g(-2) in the graph-----> g(-2)=0

therefore

the statement of the case 3) is true

case 4) f(–2) = 0 and g(–2) = 0

For x=-2-----> find the value of f(-2) in the graph-----> f(-2) is greater than 12

For x=-2-----> find the value of g(-2) in the graph-----> g(-2)=0

therefore

the statement of the case 4) is false

therefore

the answer is

f(2) = 0 and g(–2) = 0-------> this statement is true





The correct option is \boxed{\left(c\right)f\left(2\right)=0{\text{ and }}g\left({-2}\right)=0}.

Further explanation:

Consider a function f\left(x\right) as y.

\boxed{f\left(x\right)=y}                                                     ...... (1)

Consider the function g\left(x\right) as z.

\boxed{g\left(x\right)=z}                                                   ...... (2)

Substitute 0 for x in equation (1) to obtain the value of f\left(0\right) and also the value of f\left(0\right) can be obtained from the graph by finding the value of y at x=0.

\boxed{f\left(0\right)=4}

Substitute 2 for x in equation (1) to obtain the value of f\left(2\right) and also the value of f(2) can be obtained from the graph by finding the value of y at x=2.

\boxed{f\left(2\right)=0}

Substitute -2 for x in equation (2) to obtain the value of g(-2) and also, the value of g(-2) can be obtained from the graph by finding the value of z at x=-2.

\boxed{g\left({-2}\right)=0}

Now check the option that is satisfied by the obtained value.

In the option (a) the value of f(0) is 2 which is not equal to the obtained value so this option is not correct.

In the option (b) the value of f(0) is 4 which is not equal to the obtained value so this option is not correct.

In the option (c) the value of f(2) is 0 which is equal to the obtained value and the value of g(-2) is 0 which is also equal to the obtained value so this option is correct.

In the option (d), the value of f(-2) is 0 but from the graph it can be observed that the value of f(-2) is greater than 12, so this option is not correct.

Learn more:

1. Problem on Function brainly.com/question/1691598

2. How to solve Function brainly.com/question/1632445

Answer details:

Grade: High school

Subject: Mathematics

Chapter: Function

Keywords:

Graphed function, f(0), f(2),g(0), f(x), g(x), intercept, intersection, axis, vertical, horizontal, lines, parabola function.