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2 years ago

(5x - 1, if x < -2 Evaluate f(x) = Lx+ 3, if x > -2 when z = 3.

Mathematics

1 answer:

Brilliant_brown [7]2 years ago

5 0

Answer:

(5x - 1, if x < -2

Evaluate f(x) =

Lx+ 3, if x > -2

when z = 3.

Step-by-step explanation:

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A deck of cards contains RED cards numbered 1,2,3 and BLUE cards numbered 1,2,3,4,5,6. Let R be the event of drawing a red card,

Tatiana [17]

Answer:

e. R′

Step-by-step explanation:

Let the Sample Space be a universal set consisting of 3 red and 6 blue cards. Then the event of of getting 4 blue cards will be given

R complement = R` = Universal Set minus Red cards will give blue cards.

a. R OR O

It cannot be this option because we need 4 blue card

b. B AND O

It cannot be this choice as well because 4 is not odd.

c. R OR E

4 is even but we need blue

d. R AND O

Red and odd is again not required

e. R′ = It will give our required result.

f. E′= 4 is even if it is complemented it cannot be obtained and will be left out.

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3 years ago

Identify the property that the statement illustrates

oksian1 [2.3K]

Answer:

6 units away from 0.

Step-by-step explanation:

when move to 6 you count the units.

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3 years ago

What numbers multiplied by themselves give the following: 4 36 64 121

Dmitry [639]

Answer:

2, 6, 8, 11

Step-by-step explanation:

A number multiplied by itself gives a perfect square.

4 = 2²

36 = 6²

64 = 8²

121 = 11²

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3 years ago

Purchasing a TV that is 20% off will save $180.

Flauer [41]

Answer:

$900

Step-by-step explanation:

a)Off given on purchasing a TV= 20%

20% on TV = $ 180

Let the original price of TV set $ x

According to question,

20% of x= $180

$\frac{20}{100}$ ×x= $180

x = $ 180× 5

x= $ 900

Hence, Original price of TV set= $ 900

b) By second method,

20%= $180

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100% = $900

Hence, the original price $ 900

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3 years ago

1.- What type of parabola is this?

xz_007 [3.2K]

Answer:

Part 1

Sideways or "horizontal" parabola with a horizontal axis of symmetry.

Part 2

The vertex is the turning point: (-3, 1)

Part 3

Vertex form of a horizontal parabola:

$x=a(y-k)^2+h$

where:

(h, k) is the vertex
a is some constant
If a > 0 the parabola opens to the right.
If a < 0 the parabola opens to the left.

Point on the curve: (-1, 2)

Substituting the vertex and the found point into the formula and solving for a:

$\implies -1=a(2-1)^2-3$

$\implies -1=a-3$

$\implies a=2$

Part 4

Equation for the given parabola in vertex form:

$x=2(y-1)^2-3$

Equation in standard form:

$x=2y^2-4y-1$

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1 year ago