Solve for j: J/-2+7=-12

Mathematics

1 answer:

Anestetic [448]2 years ago

6 0

Answer:

J=38

Step-by-step explanation:

Subtract 7 to both sides so J/-2=-19

Then multiply -2 to both sides to get -19 times -2

That equals to 38

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e vertices of a rectangle are R(-5,-5), S(-6,-5),T(-1,1),U(-5,1) a translation maps R to the point (2,-9)

Tema [17]

Answer:

The rule of translation : $(x,y)\rightarrow (x+7,y-4)$

The vertices of image is R'(2,-9), S'(1,-9), T'(6,-3) and U'(2,-3).

Step-by-step explanation:

The vertices of a rectangle are R(-5,-5), S(-6,-5), T(-1,1), U(-5,1).

It is given that a translation maps R to the point (2,-9).

Difference between x-coordinates:

$-5-2=-7$

Difference between y-coordinates:

$-5-(-9)=-5+9=4$

The x-coordinate increased by 7 and y-coordinate decreased by 4. It means the figure shifts 7 units right and 4 units down.

The rule of translation is

$(x,y)\rightarrow (x+7,y-4)$

The vertices of image are

$R(-5,-5)\rightarrow R'(-5+7,-5-4)=R'(2,-9)$

$S(-6,-5)\rightarrow S'(-6+7,-5-4)=S'(1,-9)$

$T(-1,1)\rightarrow T'(-1+7,1-4)=T'(6,-3)$

$U(-5,1)\rightarrow U'(-5+7,1-4)=U'(2,-3)$

Therefore, the vertices of image are R'(2,-9), S'(1,-9), T'(6,-3) and U'(2,-3).

7 0

3 years ago

The probability of a getting a new sales contract with any given client is 0.29. A sales representative works with 18 clients th

Radda [10]

Answer:

The expected number of contracts the sales representative will get this week is 5.22

Step-by-step explanation:

For each client, there are only two possible outcomes. Either there is a sales contract, or there is not. The probability of having a sale contract with each client is independent of other clients. So we use the binomial probability distribution to solve this problem.

Binomial probability distribution

Probability of exactly x sucesses on n repeated trials, with p probability.

The expected value of the binomial distribution is:

$E(X) = np$