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3 years ago

Find f(5) and f(-1) for the equation:

Mathematics

2 answers:

valkas [14]3 years ago

8 0

Answer:

C. -8 and 4

Step-by-step explanation:

Step 1: Plug in f(5)

f(5) = -2(5) + 2

f(5) = -10 + 2

f(5) = -8

Step 2: Plug in f(-1)

f(-1) = -2(-1) + 2

f(-1) = 2 + 2

f(-1) = 4

adoni [48]3 years ago

3 0

Answer:

-8 and 4

Step-by-step explanation:

Put x as 5 and solve.

f(5) = -2(5) + 2

f(5) = -10 + 2

f(5) = -8

Put x as -1 and solve.

f(-1) = -2(-1) +2

f(-1) = 2 +2

f(-1) = 4

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Suppose you just received a shipment of twelve televisions. Three of the televisions are defective. If two televisions are rando

qwelly [4]

Answer: The probability that both televisions work is 0.5625 .

The probability at least one of the two televisions does not work is 0.4375.

Step-by-step explanation:

Given : Number of televisions received in shipment= 12

Number of defective televisions received in shipment= 3

Then proportion of defective televisions = $\dfrac{3}{12}=0.25$

Using binomial probability formula, the probability of getting success in x trials is given by :-

$P(x)=^nC_xp^x(1-p)^{n-x}$

If two televisions are randomly selected, then the probability that both televisions work will be :-

$P(0)=^2C_0(0.25)^0(0.75)^2=(0.75)^2=0.5625$

The probability at least one of the two televisions does not work will be :-

$P(x\geq1)=1-P(0)=1-0.5625=0.4375$

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3 years ago

For graph f what is f(0)?

Darina [25.2K]

Answer:

Step-by-step explanation:

The function shows a point at 2 where x = 0.

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3 years ago

On a coordinate plane, points (2, 4), (4, 8), and (5, 10) are plotted.

mario62 [17]

Step-by-step explanation:

(2, 4), (4, 8) and (5, 10) are on the line y = 2x.

Hence they line on a straight line,

The line passes through the origin, and

it shows a proportional relationship.

4 0

3 years ago

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Which of the following is how we find slope from a graph?

stellarik [79]

Answer:

m= rise/ run

Step-by-step explanation:

We can find the slope by

m= rise/ run

= change in y/ change in x

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

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3 years ago

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Triangle BAC was rotated 90° clockwise and dilated at a scale factor of 2 from the origin to create triangle XYZ. Based on these

ANEK [815]

Answer:

The correct option is;

∠A ≅ ∠X

Step-by-step explanation:

The given coordinates of the points of triangle ACB are;

A(-4, 4), C(-1, 3), B(-4, 0)

The given coordinates of the points of triangle XYZ are;

X(0, 8), Y(8, 8), Z(6, 2), therefore, we have

The length. l. of segment is given by the following formula;

$l = \sqrt{\left (y_{2}-y_{1} \right )^{2}+\left (x_{2}-x_{1} \right )^{2}}$

For the length of the segment AC; (x₁, y₁) = (-4, 4), (x₂, y₂) = (-1, 3), l = √(10)

For the length of the segment AB; (x₁, y₁) = (-4, 4), (x₂, y₂) = (-4, 0), l = 4

For the length of the segment BC; (x₁, y₁) = (-4, 0), (x₂, y₂) = (-1, 3), l = 3·√2

For the length of the segment XY; (x₁, y₁) = (0, 8), (x₂, y₂) = (8, 8), l = 8

For the length of the segment XZ; (x₁, y₁) = (0, 8), (x₂, y₂) = (6, 2), l = 6·√2

For the length of the segment ZY; (x₁, y₁) = (6, 2), (x₂, y₂) = (8, 8), l = 2·√(10

Therefore;

XY ~ AB, XZ ~ BC, ZY ~ AC

Which gives;

∠A ≅ ∠X, ∠B ≅ ∠Y, ∠C ≅ ∠Z

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3 years ago

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