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tankabanditka [31]
3 years ago
8

Which of the following points is a solution of y > Ixl + 5?

Mathematics
1 answer:
Step2247 [10]3 years ago
7 0

Answer:

B. (1,7)

Step-by-step explanation:

We can substitute the x and y values of each coordinate into the inequality and test if they work.

Let's start with A, 5 being y and 0 being x .

5 > |0|+5\\5> 0+5\\5 > 5

5 IS NOT greater than 5, they are the exact same, so A is out.

Let's try B, 1 being x and 7 being y.

7 > |1| + 5\\7 > 1 + 5\\7 > 6

7 IS greater than 6, so B. (1,7) does work for this inequality!

Let's do C for fun, when 7 is x and 1 is y.

1 > |7| + 5\\1>7+5\\1>12

1 IS NOT greater than 12, it is quite less than 12, so C doesn't work.

Therefore B. (1,7) works for the inequality of y > |x|+5.

Hope this helped!

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Find the root of each of the following equation x+8=24​
kupik [55]

Answer:

4

Step-by-step explanation:

If you mean root of x, 24-8=16

square root of 16=4

4 0
3 years ago
Rewrite each of the following statements in the form "∀ _____ x, _____." (a) All dinosaurs are extinct. ∀ x, . (b) Every real nu
jasenka [17]

Answer:

See below

Step-by-step explanation:

Essentially, we have to replace "quantifier words" like "All", "Every" by the universal quantifier ∀.

a) ∀ dinosaur x, x is extinct.

b) ∀ real number x, x is positive, negative, or zero.

c) ∀ irrational number x, x is not an integer.

d) ∀ logician x, x is not lazy.

e) ∀ integer x, x²≠ 2,147,581,953.

f)  ∀ real number x, x²≠ -1.

In a) and b) we replace the words without major changes. In the other statements, we modify the statement using negation. For example, "No irrational numbers are integers." is equivalent to "Every irrational number is not integer".

8 0
4 years ago
How can you write 1,360/200 as a repeating decimal?
Alisiya [41]
1360/200

13.6/2

6.8

It is a finite decimal, but if you want repeating, there are zeroes that follow, like so:

6.8000000000000 . . . (and on to infinity)
6 0
3 years ago
how do you know what order to put the letters of a similarity statement in? ex. WZYX ~ ABCD (why would they be stated this way)
Nimfa-mama [501]
The order should be that of the corresponding equal angles 
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8 0
3 years ago
If light travels at 3. 108 m/s and its frequency is 6. 1015 Hz, then its wavelength is:
Sergio039 [100]

Answer:

5 * 10^{-8} m

Step-by-step explanation:

The speed of light is 3 * 10^8 m/s and its frequency is 6 * 10^{15} Hz.

The speed of light is given as:

c = λ * f

where λ = wavelength of light

f = frequency of light

Therefore, the wavelength is given as:

λ = c / f

=> λ = \frac{3 * 10^8}{6 * 10^{15}}

=> λ = 5 * 10^{-8} m

The wavelength of the light is 5 * 10^{-8} m

7 0
3 years ago
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