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2 years ago

Need the domain and range!

Mathematics

1 answer:

o-na [289]2 years ago

4 0

Answer: Domain: [-1, 1]

Range: [-2, 3]

Step-by-step explanation:

Domain: The x-values go from -1 to 1 with x=-1 and x=1 included.

Range: The range starts at the vertex of the function which is y=-2 and goes up to y=3 where the graph is cut off by 2 points on y=3.

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A map of New York has a scale of 1/2 inch : 5 miles. Cindy knows the

saveliy_v [14]

Answer:

8.5 inches

Step-by-step explanation:

1/2 in = 5 miles

? = 85 miles.

So you would do 85/5 to figure out how many times you have to multiply 5 to get to 85.

85/5= 17

So then you would multiply 17 by 1/2 to get the answer 8.5. So that would b 8.5 inches

7 0

3 years ago

Find the values of x and y leave answers in simplest radical form. *The altitude is:

jok3333 [9.3K]

$x = \sqrt{ { \sqrt{18} }^{2} + {2}^{2} } = \sqrt{18 + 4} = \sqrt{22} \\ y = \sqrt{ { \sqrt{18} }^{2} + {9}^{2} } = \sqrt{18 + 81} = \sqrt{99} = 3\sqrt{11}$

5 0

4 years ago

Considera um quadrado de lado 2x e um rectângulo de comprimento x e largura x  2 . Qual é o valor de x para o qual as duas figu

ki77a [65]

Answer:

3 unidades de comprimento

Step-by-step explanation:

O perímetro é definido como a soma de todos os lados.

O perímetro de um quadrado de lado 2x é dado por:

$Q=4*2x=8x$

O perímetro de um retângulo de comprimento x e largura x² é dado por:

$R=2x+2x^2$

Para que ambos os perímetros sejam iguais:

$R=Q\\8x=2x+2x^2\\x^2=\frac{6}{2}x\\ x=3$

O valor de x é igual a 3 unidades de comprimento.

4 0

3 years ago

10) An amount of $1500.00 is invested for 3 years at rate of 2% for the first year and 5%, for

AnnyKZ [126]

Answer:

the interest is 195dollars

6 0

3 years ago

In a certain lottery, you must select 5 numbers (in any order) out of 26 correctly to win. a. How many ways can 5 numbers be

Step2247 [10]

Answer:

a. 7893600

$b.\ \dfrac{1}{26}$

Step-by-step explanation:

Given that there are 26 numbers out of which 5 numbers are to be chosen.

Here repetition is not allowed.

For each of the 5 cases, the total number of possibilities will keep on decreasing by 1.

1st case, number of possibilities = 26

2nd case, number of possibilities = 25

3rd case, number of possibilities = 24

4th case, number of possibilities = 23

5th case, number of possibilities = 22

a. Total number of possibilities = 26 $\times$ 25 $\times$ 24 $\times$ 23 $\times$ 22 = <em>7893600</em>

b. Probability of winning by choosing one number:

Formula for probability of an event E can be observed as: $P(E) = \dfrac{\text{Number of favorable cases}}{\text {Total number of cases}}$

Number of favorable cases = 1

Total number of cases = 26

So, required probability:

$P(E) = \dfrac{1}{26}$

So, the answers are:

a. 7893600

$b.\ \dfrac{1}{26}$

5 0

4 years ago