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3 years ago

What is the range of the function y = x?? Oyo oxio all real numbers

Mathematics

1 answer:

Naya [18.7K]3 years ago

3 0

Answer:

All Real Numbers

General Formulas and Concepts:

<u>Algebra I</u>

Range is the set of y-values that are outputted by function f(x)

Step-by-step explanation:

If we graph the function, we see that the line stretches out from negative infinity to infinity for both x-values and y-values.

If that is the case, then that means that there is no restrictions on the y-values.

Therefore, our range is (-∞, ∞) or All Real Numbers.

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Solve the following system of equations: −2x + y = 1 −4x + y = −1

Katyanochek1 [597]

Answer:

Step-by-step explanation:

$\left\{\begin{array}{ccc}-2x+y=1\\-4x+y=-1&\text{change the signs}\end{array}\right\\\\\underline{+\left\{\begin{array}{ccc}-2x+y=1\\4x-y=1\end{array}\right}\qquad\text{add both sides of the equations}\\.\qquad2x=2\qquad\text{divide both sides by 2}\\.\qquad x=1\\\\\text{Put it to the first equation:}\\\\-2(1)+y=1\\-2+y=1\qquad\text{add 2 to both sides}\\y=3$

5 0

3 years ago

The joint probability mass function of XX and YY is given by p(1,1)=0p(2,1)=0.1p(3,1)=0.05p(1,2)=0.05p(2,2)=0.3p(3,2)=0.1p(1,3)=

inessss [21]

Answer:

P(Y=1|X=3)=0.125

Step-by-step explanation:

Given :

p(1,1)=0

p(2,1)=0.1

p(3,1)=0.05

p(1,2)=0.05

p(2,2)=0.3

p(3,2)=0.1

p(1,3)=0.05

p(2,3)=0.1

p(3,3)=0.25

Now we are supposed to find the conditional mass function of Y given X=3 : P(Y=1|X=3)

P(X=3) = P(X=3,Y=1)+P(X=3,Y=2) +P(X=3,Y=3)

P(X=3)=p(3,1) +p(3,2) +p(3,3)

P(X=3)=0.05+0.1+0.25=0.4

$P(Y=1|X=3)=\frac{P(X=3,Y=1)}{P(X=3)} =\frac{p(3,1)}{P(X=3)}=\frac{0.05}{0.4}= 0.125$

Hence P(Y=1|X=3)=0.125

8 0

3 years ago

Find the cost of kg of apples and the cost of an orange using simultaneous equations method:

PtichkaEL [24]

Cost of kg of apples = £1.08
cost of an orange = £0.12
hi, the solution is in the pic below. sorry for the messy working!

6 0

3 years ago

You would like to make a nutritious meal of eggs, edamame, and elbow macaroni. The meal should provide at least 40 g of carbohyd

arsen [322]

Answer:

2x + 12y + 43 ≥ 40

17x + 12y + 8z ≥ 20

14x + 6y + z ≤ 50

x ≥ 0

y ≥ 0

z ≥ 0

Step-by-step explanation:

given:

Cost Eggs = $2

Cost of edema = $5

cost of elbow Macaroni = $3

Lets eggs = x,

edamame = y

elbow macaroni = z

TC = 2x+5y+3z

Therefore;

2x + 12y + 43 ≥ 40

17x + 12y + 8z ≥ 20

14x + 6y + z ≤ 50

x ≥ 0

y ≥ 0

z ≥ 0

the first objective is to make sure the total cost is subject to the required nutritional requirements.

So the total cost function (TC) is denoted by the number of servings multiplied for each costs. Eggs cost $2, edamame $5, and macaroni $3.

The problem subjects that each meal contains at least 40g of carbohydrates (this is the condition).

to get this we need to add what each meal component adds to the total, eggs add 2g of carbs, edamame 12g, and macaroni 43g.

Same should be done for protein, we require at least 20 grams of protein, Eggs add 17g, edamame adds 12g, and macaroni adds 8g.

and lastly we don't want more than 50 grams of fat, Eggs add 14g, edamame add 6g and macaroni 1g.

4 0

3 years ago

Find the value of y so that the line passing through the two points have the given slope (2,3) (7,y) m=-2/5

Liono4ka [1.6K]

Answer:

y = 1

Step-by-step explanation:

Find the slope of the line passing through the points $(2,3)$ and $(7,y):$

$m=\dfrac{y-3}{7-2}=\dfrac{y-3}{5}$

The slope of the line is equal to

$m=-\dfrac{2}{5},$

then

$\dfrac{y-3}{5}=-\dfrac{2}{5}\\ \\y-3=-2\\ \\y=-2+3\\ \\y=1$

8 0

3 years ago