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2 years ago

What is the greatest integer value of y for which 5y - 20 < 0?

2 answers:

6 0

5y - 20 < 0...add 20 to both sides
5y < 20...divide both sides by 5
y < 20/5
y < 4 (this states that y is less then 4)

Therefore, the greatest integer that y could be is 3 (because integers cannot be fractions, they have to be whole numbers)

Maru [420]2 years ago

5 0

Answer:

Greatest value of y is 3 .

Step-by-step explanation:

Given : 5y - 20 < 0.

To find : what is the greatest integer value of y

Solution : We have given that

5y - 20 < 0.

On adding both sides by 20.

5y < 20 .

On dividing by both sides 5.

y < 4.

We can see y is less than 4 , it mean all the values of y must be less than 4 but not including 4 like 3 ,2, 1, 0, -1, -2 ........so on.

So , the greatest value is 3 .

It can not be in fraction because we asked about integer.

Therefore, greatest value of y is 3 .

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What is the greatest common factor (gcf) of the numerator and denominator in the rational expression below? 7x+14/2x^2+x-6

Mashutka [201]

The answer is C. The numerator 7x+14 can be factored as 7(x+2). The denominator 2x^2+2x-6 can be factored as (x+2)(2x-3). The greatest common divisor of 7(x+2) and (x+2)(2x-3) is obviously x+2, which is contained in both of the two expressions.

4 0

2 years ago

A=<3,0,-1>, find a vector b such that comp(sub a) b=2.

Anna35 [415]

Compab=a.b/|a|
b=<0,1,−2√10>
a.b= 2√10
|a| = √10
a.b/|a|=2√10 / √10=2

5 0

2 years ago

Which option lists an expression that is not equivalent to 4 2/3?

I am Lyosha [343]

Answer:

Option A and Option B are not equivalent to the given expression.

Step-by-step explanation:

We are given the following expression:

$4^{\frac{2}{3}}$

Applying properties of exponents and base:

$(a^x)^y = a^{xy}\\a^{-x}= (\frac{1}{a})^x\\$

A. Using the exponential property $a^{-x}= (\frac{1}{a})^x\\$ , we can write:

$0.25^{\frac{3}{2}} = (\frac{1}{0.25})^{\frac{-3}{2}} = (4)^{\frac{-3}{2}}$

which is not equal to the given expression.

B. Using the exponential property $a^{-x}= (\frac{1}{a})^x\\$ , we can write:

$(0.25)^{\frac{-3}{2}} = (\frac{1}{0.25})^{\frac{3}{2}} = (4)^{\frac{3}{2}}$

which is not equal to the given expression.

C. First we convert the radical form into exponent form. Then by using the property $(a^x)^y = a^{xy}$ of exponent, we can write the following:

$^3\sqrt{16} = (16)^{\frac{1}{3}} = (4^2)^{\frac{1}{3}} = 4^{\frac{2}{3}}$

which is equal to the given expression.

D. First we convert the radical form into exponent form. Then by using the property $(a^x)^y = a^{xy}$ of exponent, we can write the following:

$(^3\sqrt{4})^2 = (4^{\frac{1}{3}})^2 = 4^{\frac{2}{3}}$

which is equal to the given expression.

Option D and Option C are equivalent to the given expression.

7 0

2 years ago

Read 2 more answers

Shannon rolls 2 fair dice and adds the results from each. Work out the probability of getting a total of 13.

Bingel [31]

Answer:

Step-by-step explanation:

Fair dice are dice that have 6 sides, and the probability of rolling a side is the same as rolling another.

Since each die has 6 sides, the most you can get from the two dice are 6 + 6 = 12. Therefore, getting a 13 is impossible. So, there is a probability of 0.

Hope this helps!

4 0

2 years ago

Explain why you would make one of the addends a tens number when solving an addition problem

leonid [27]

<span> You refer to a multiple of ten. As a multiple of ten you can just add it to another number easier than a "ones number".</span>

4 0

2 years ago