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3 years ago

Evaluate f(x)=1/4x for x = –5

Mathematics

2 answers:

Sav [38]3 years ago

8 0

F(-5)=1/(4*-5) --> -1/20

hoa [83]3 years ago

8 0

Answer: $-0.25$

Step-by-step explanation:

The given function : $f(x)=\dfrac{1}{4}x$

To find the value of the given function at -5, we need to substitute the value of -5 in the given function, we get

$f(-5)=\dfrac{1}{4}\times-5\\\\\Riaghtarrow\ f(-5)=\dfrac{-5}{4}\\\\\Riaghtarrow\ f(-5)=-1\dfrac{1}{4}$

Hence, the value of $f(x)=\dfrac{1}{4}x$ at $x =-5=-1\dfrac{1}{4}\ or \ -0.25$

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Ben ran 3/10 of a mile. Shelly ran 8/10 of a mile. How many more miles did Shelly run than Ben? A) 11/10 B) 11/20 C) 5/0 D) 5/10

attashe74 [19]

Hello there! Shelly ran D) 5/10 more miles than Ben.

To find the difference between the two runner's distances, subtract the smaller distance from the greater distance.

8/10 - 3/10 = 5/10

Since there is a difference of 5/10, this means Shelly ran 5/1 more miles.

I hope this helps, & have a great rest of your day! :)

8 0

3 years ago

A single gram of a certain metallic substance has 0.52 g of copper and 0.25 g of zinc the remaining portion of the substance is

andrezito [222]

Ben's estimate gives 7 g of nickel; the actual amount is 8.03 g.

In 1 g of the substance, there is 0.52 g of copper and 0.25 g of zinc; this gives
0.52+0.25 = 0.77 g of the substance.

The remaining part of the substance is nickel:
1-0.77 = 0.23 g of nickel.

Using Ben's estimate, 0.2 g of nickel per gram of substance, we have
0.2(35) = 7 g of nickel in 35 g of the substance.

The actual amount is 0.23(35) = 8.03 g of nickel in 35 g of the substance.

6 0

3 years ago

Of the people who fished at Clearwater Park today, 48 had a fishing license, 32and did not. Of the people who fished at Mountain

horrorfan [7]

Answer:

The probability that the fisher chosen from Clearwater did not have a license and the fisher chosen from Mountain View had a license is 0.32.

Step-by-step explanation:

Denote the events as follows:

<em>X</em> = a fisher at Clearwater Park had a fishing license

<em>Y</em> = a fisher at Mountain View Park had a fishing license

The two events are independent.

The information provided is:

n (X) = 48

n (X') = 32

n (Y) = 72

n (Y') = 18

Then,

N (X) = n (X) + n (X')

= 48 + 32

= 80

N (Y) = n (Y) + n (Y')

= 72 + 18

= 90

Compute the probability that the fisher chosen from Clearwater did not have a license and the fisher chosen from Mountain View had a license as follows:

$P(X'\cap Y)=P(X')\times P(Y)$

$=\frac{n(X')}{N(X)}\times \frac{n(Y)}{N(Y)} \\\\=\frac{32}{80}\times\frac{72}{90}\\\\=0.32$

Thus, the probability that the fisher chosen from Clearwater did not have a license and the fisher chosen from Mountain View had a license is 0.32.

7 0

3 years ago

Simplify: 12xy - 6x + 3y -10xy - 5y

Darina [25.2K]

Answer:

2xy - 6x +2y

Step-by-step explanation:

12xy - 10xy = 2xy

5y - 3y = 2y

2xy - 6x + 2y

5 0

3 years ago

Read 2 more answers

A zookeeper predicted the weight of a new baby elephant to be 250 pounds when it was born. The elephant actually weighed 282 pou

worty [1.4K]

About 11% - I first subtracted 250 from 282, to get 32. I then did 32/282 to get .11.... You round that out to about 11%

3 0

3 years ago