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Leokris [45]
3 years ago
10

I need some help with this

Mathematics
1 answer:
lapo4ka [179]3 years ago
4 0

Answer:

A. 1

Step-by-step explanation:

Since it's g(-4), we have to use the first option because that means that x is equal to less than -4.

3√x + 5

3 √-4 + 5

= 1

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Which graph represents the function f(x) =1/3 |x|?
Arisa [49]

Step-by-step explanation:

f(x) = 1/3|x|

then

f(x) = 1/3x  , if x ≥ 0

and

f(x) = -1/3x  , if x ≤ 0

the slope of f(x) = 1/3x is 1/3

the slope of f(x) = -1/3x is -1/3

this two above conditions apply on to the fourth graph to the right.

5 0
3 years ago
Nathan bought a cd for his friend. The length and width of the cd case is 4 18⁄25 inches. What is the area of the cd case?
ale4655 [162]

Answer:

Hence the area of CD bought by Nathan is <em>22.2784 square inches.</em>

Step-by-step explanation:

The length and width of a CD bought by Nathan is 4\frac{18}{25}=\dfrac{118}{25} inches.

As CD have the same length and width this means it will be of the shape of a square.

Hence, the area of CD is given by:

Area of CD=length×width

                 = 4\dfrac{18}{25}\times4\dfrac{18}{25}

                 =\dfrac{118}{25}\times\dfrac{118}{25}

                 =\dfrac{118\times118}{25\times25}

                 =\dfrac{13924}{625}

                 =22.2784

Hence the area of CD bought by Nathan is 22.2784 square inches.


3 0
3 years ago
A basket contains four apples and six peaches. You randomly select one piece of fruit and eat it. Then you randomly select anoth
Sveta_85 [38]

Answer:

Answer as a fraction: 4/15

Answer as a decimal: 0.267

The decimal version is approximate rounded to three decimal places.

Step-by-step explanation:

6 apples, 4 peaches

6+4 = 10 pieces of fruit total

The probability of picking an apple is 6/10 = 3/5

After you pick and eat the apple, there are 10-1 = 9 pieces of fruit left. Also, the probability of picking a peach is 4/9, as there are 4 peaches out of 9 fruit left over.

Multiply out 3/5 and 4/9 to get (3/5)*(4/9) = (3*4)/(5*9) = 12/45 = 4/15

Using a calculator, 4/15 = 0.267 approximately.

6 0
2 years ago
The principal at valley elementary school had 840 stickers that he gave to 42 children. 2/3 of the children were boys and each o
STatiana [176]

Answer: each girl received 30 stickers.

Step-by-step explanation:

Let x represent the number of stickers that the boys received.

Let y represent the number of stickers that the girls received.

The total number of children was 42. 2/3 of the children were boys. It means that the number of boys were

2/3 × 42 = 28

The number if girls would be

42 - 28 = 14

The total number of stickers that the school principal shared was 840. It means that

28x + 14y = 840- - - - - - - - -1

Each of the boys received the same number of stickers while each girl received twice as many as each boy. It means that

y = 2x

Substituting y = 2x into equation 1, it becomes

28x + 14 × 2x = 840

28x + 28x = 840

56x = 840

x = 840/56

x = 15

y = 2x = 15 × 2

y = 30

4 0
3 years ago
what is the value of c? enter your answer in the box. round only your final answer to the nearest whole number.
muminat

Answer:

c ≈ 21

Step-by-step explanation:

By applying cosine rule in the given triangle ABC,

c² = a² + b² - 2abcos(C)

c² = (17)² + (10)² - 2(17)(10)cos(98.8°)

c² = 289 + 100 - 340(-0.1530)

c² = 441.015

c = 21

c ≈ 21

4 0
3 years ago
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