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3 years ago

What is the domain of y = log Subscript 4 Baseline (x + 3)?

Mathematics

2 answers:

quester [9]3 years ago

5 0

Answer:

All real numbers greater than -3

Step-by-step explanation:

The domain of a log is the baseline is greater than 0.

Set x + 3 greater than zero and solve

x + 3 > 0

x > -3

Virty [35]3 years ago

5 0

Answer:

(B) all real numbers greater than –3

Step-by-step explanation:

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If you choose a card at random from a well shuffled deck of 52 cards, what is the probability that the card chosen is not a hear

Vinvika [58]

Sample space ={13 H + 13 D + 13 S + 13 C} = 52 cards

P(getting one heart) = 13/52 = 1/4
P( getting NO heart) = 1-1/4 = 3/4 = 0.75

4 0

3 years ago

polygon ABCD is defined by the points A(-4,2), B(-2,4), C(1,3), and D(2,2). match the coordinates of the points you f the transf

Tomtit [17]

Answer:

D' ..................> (-2,2)

C'' .................> (3,-1)

A''' ................> (4,-2)

B'' .................> (4,2)

Step-by-step explanation:

Before we begin, we should remember the rotation rules:

1- Rotation 90° clockwise:

Coordinates (x,y) become (y,-x)

2- Rotation 90° counter clockwise:

Coordinates (x,y) become (-y,x)

3- Rotation 180° clockwise:

Coordinates (x,y) become (-x,-y)

4- Rotation 270° counter clockwise:

Coordinates (x,y) become (y,-x) ...........> same as rotation 90° clockwise

Now, let's consider the given problem:

1- Coordinates of D' if polygon ABCD rotates 90° counter clockwise to create A'B'C'D'

Original coordinates of point D are (2,2)

Rotation 90° counter clockwise means that the new coordinates will be (-y,x) which is (-2,2)

2- Coordinates of C'' if polygon ABCD rotates 90° clockwise to create A''B''C''D''

Original coordinates of point C are (1,3)

Rotation 90° clockwise means that the new coordinates will be (y,x) which is (3,-1)

3- Coordinates of A''' if polygon ABCD rotates 180° clockwise to create A'''B'''C'''D'''

Original coordinates of point A are (-4,2)

Rotation 180° clockwise means that the new coordinates will be (-x,-y) which is (4,-2)

4- Coordinates of B'' if polygon ABCD rotates 270° counter clockwise to create A''B''C''D''

Original coordinates of point B are (-2,4)

Rotation 270° counter clockwise means that the new coordinates will be (y,-x) which is (4,2)

Hope this helps :)

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3 years ago

In the diagram, the distance from A to B is 4 inches. Find the actual distance if the scale is 1 in:6 mi

aksik [14]

1 inch = 6 miles
4 inches = ? miles

1 = 6
2 = 12
3 = 18
4 = ?

6 0

4 years ago

State the reason why >K = >M KLMN is a parallelogram.

Semmy [17]

The opposite angles of a parallelogram are equal. Therefore, for parallelogram KLMN, <K = <M

3 0

3 years ago

The ratio of boys to girls in Mrs.Graingers class is 3 to 2. what is the % of the class are boys

marshall27 [118]

In plain and short, the whole class is 100%, so we first split it by the ratios, namely by 3+2, so 100/(3+2) and then give 3 pieces to the girls and 2 pieces to the boys, let's do so,

$\bf \cfrac{girls}{boys}\qquad 3:2\qquad \cfrac{3}{2}\qquad \qquad \cfrac{3\cdot \frac{100}{3+2}}{2\cdot \frac{100}{3+2}}\implies \cfrac{3\cdot 20}{2\cdot 20}\implies \cfrac{60}{40}$

3 0

3 years ago