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3 years ago

Bradley needs at least $280 for a new laptop. He has already saved $40. He earns $8 an hour at his job.

Mathematics

1 answer:

Serjik [45]3 years ago

4 0

280 -40 =240
X($8.00)= $240.00

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Y and Z are vertical angles <br> Y=(2X + 7)<br> Z=(4X - 17)<br> value of x

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Vertical angles are equal to each other, so to solve this, you can set the angle measures equal to each other and solve for x.

Z = Y Replace X and Y with their values
4x - 17 = 2x + 7 Isolate the value. Start by adding 17 to both sides
4x = 2x + 24 Subtract 2x from both sides
2x = 24 Divide both sides by 2
x = 12

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3 years ago

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4 years ago

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How do you find the area of 3

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Answer:

Example: What is the area of this rectangle?

Area Count

The formula is:

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3 years ago

For each function below, determine whether or not the function is injective and whether or not the function is surjective. Be su

olga55 [171]

Answer:

The function is neither injective nor surjective

Step-by-step explanation:

f: P({1,2,3}) -> N is given by f(A) = |A|

where P(S) denotes the power set of a set S and |A| the number of elements of A

$P(\left \{ 1,2,3 \right \})=\left \{ \varnothing ,\left \{ 1 \right \},\left \{ 2 \right \},\left \{ 3 \right \},\left \{ 1,2 \right \},\left \{ 1,3 \right \},\left \{ 2,3 \right \},\left \{ 1,2,3 \right \} \right \}$

$f(\varnothing )=0$

$f(\left \{ 1 \right \})=f(\left \{ 2 \right \})=f(\left \{ 3 \right \})=1$

$f(\left \{ 1,2 \right \})=f(\left \{ 1,3 \right \})=f(\left \{ 2,3 \right \})=2$

$f(\left \{ 1,2,3 \right \})=3$

The function is not injective, for

$P(\left \{ 1 \right \})=P(\left \{ 2 \right \})$

but

$\left \{ 1 \right \}\neq \left \{ 2 \right \}$

The function is not surjective either, because 5 is a natural number which is not the image of any element A under f, i.e., there is no element in A in P({1,2,3}) such that f(A)=5

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4 years ago