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Alenkinab [10]
3 years ago
9

Evaluate f(x) = 1/4 x for x =-5.

Mathematics
2 answers:
Marianna [84]3 years ago
7 0

Answer:

f(x) = -1.25

Step-by-step explanation:

Substitute x with -5, so our equation would look this:

<em>Note: We were already given the value of x</em>

f(x) = 1/4(-5)

Multiply 1/4 and -5:

1/4 * -5 = -1.25

So, our answer would be -1.25

tester [92]3 years ago
4 0
<h3>Answer:</h3>

-1.25

<h3>Step-by-step explanation:</h3>

In order to find the answer to your question, we're going to need to plug in a number to the variable x.

We know that x = -5

This means that whenever you see x, you would replace it with what it equals to. In this case, we would plug in -5 to x, since that's what it equals to.

Your equation would look like this:

\frac{1}{4}( -5)

Now, you would solve to get your answer.

\frac{1}{4} (-5)=-1.25\\\\\text{1/4 is the same as 0.25} \\\\0.25(-5)=-1.25

Once you're done solving, you should get -1.25

This means that f(x) = -1.25

<h3>I hope this helps you out.</h3><h3>Good luck on your academics.</h3><h3>Have a fantastic day!</h3>
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Simplify 2x – 9y + 4x + 11y by combining like terms and then evaluate at x = -2<br> and y = 4.
Mashcka [7]

Step-by-step explanation:

= 2x - 9y + 4x + 11y

First of all combining like terms

So

= 2x + 4x - 9y + 11y

= 6x + 2y

Now putting values

= 6 (-2) + 2(4)

= - 12 + 8

= - 4

7 0
3 years ago
What is the completely simplified equivalent of 2/(5+i)?
Bezzdna [24]

namely, let's rationalize the denominator in the fraction, for which case we'll be using the <u>conjugate</u> of that denominator, so we'll multiply top and bottom by its <u>conjugate</u>.

so the denominator is 5 + i, simply enough, its conjugate is just 5 - i, recall that same/same = 1, thus (5-i)/(5-i) = 1, and any expression multiplied by 1 is just itself, so we're not really changing the fraction per se.

\bf \cfrac{2}{5+i}\cdot \cfrac{5-i}{5-i}\implies \cfrac{2(5-i)}{\stackrel{\textit{difference of squares}}{(5+i)(5-i)}}\implies \cfrac{2(5-i)}{\stackrel{\textit{recall }i^2=-1}{5^2-i^2}}\implies \cfrac{2(5-i)}{25-(-1)} \\\\\\ \cfrac{2(5-i)}{25+1}\implies \cfrac{2(5-i)}{26}\implies \cfrac{5-i}{13}

4 0
3 years ago
What percent of 55 is 21.1
Rama09 [41]

11.6, if you need a decimal. it's in between 11 and 12

5 0
3 years ago
A country's population in 1993 was 116 million.
labwork [276]

Answer:

124 million in 2007

Step-by-step explanation:

This is a proportion match question, we consider 121-116 to represent a 9 year change = 5 rate of change per 9 years. We need to find one year so we divide 5/9=0.55 per year growth. =2002- 2007= 0.55 million x 5 = 2.8million growth add 121 million = 121 =123.8 in 2007 = 124 million to nearest m.

7 0
3 years ago
The meat department of a local supermarket packages ground beef using meat trays of two sizes: 1 designed to hold 1 lb of meet a
r-ruslan [8.4K]

Answer:

c) 0.932

99% confidence interval for average weights of all packages sold in small meat trays.

(0.932 ,1.071)

Step-by-step explanation:

Explanation:-

Given random sample of 35 packages in small meat trays produced weight with an average of 1.01 lbs. and standard deviation  of 0.18 lbs.

size of the sample 'n' = 35

mean of the sample x⁻= 1.01lbs

standard deviation of the sample 'S' = 0.18lbs

<u>The 99% confidence intervals are given by</u>

(x^{-} - t_{\alpha } \frac{S}{\sqrt{n} } , x^{-} +t_{\alpha } \frac{S}{\sqrt{n} } )

The degrees of freedom γ=n-1 =35-1=34

tₐ =  2.0322

99% confidence interval for average weights of all packages sold in small meat trays

(1.01 - 2.0322 \frac{0.18}{\sqrt{35} } , 1.01+2.0322 \frac{0.18}{\sqrt{35} } )

( 1.01 - 0.06183 , 1.01+0.06183)

(0.932 ,1.071)

<u>Final answer</u>:-

<u>99% confidence interval for average weights of all packages sold in small meat trays.</u>

<u>(0.932 ,1.071)</u>

5 0
3 years ago
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