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alina1380 [7]
3 years ago
12

Consider the function f(x)=‐⅔x+5

Mathematics
2 answers:
mr_godi [17]3 years ago
7 0

Here, A polynomial f(x) is given in the Question and we have to find the value of f(1/2). This can be done by substituting x by 1/2.

Given,

f(x) =  \dfrac{ - 2}{3} x + 5

So, replace every x in this expression by 1/2, because we have to find the value of f(1/2)

f( \frac{1}{2} ) =   \dfrac{ - 2}{3}  \times  \dfrac{1}{2}  + 5

f( \frac{1}{2} ) =  \dfrac{ - 1}{3}  + 5

So, let's simplify it by solving further,

f( \frac{1}{2} ) =  \dfrac{ - 1 + 15}{3}

f( \frac{1}{2} ) =  \dfrac{14}{3}

So, the final value of f(1/2) is 14/3 that is around:

{ \boxed{ \bf{ \red{4.67}}}}

And we are done !!

#CarryOnLearning

<u>━━━━━━━━━━━━━━━━━━━━</u>

Naya [18.7K]3 years ago
6 0

Answer:

<h2>f( \frac{1}{2} ) =  \frac{14}{3}</h2>

Step-by-step explanation:

<h3>f(x) =  -  \frac{2}{3} x + 5</h3>

To find f(½) substitute the value of x that's ½ into f(x). That is for every x in f(x) replace it with 1/2

That's

<h3>f( \frac{1}{2} ) =  -  \frac{2}{3} ( \frac{1}{2} ) + 5 \\  =  -  \frac{1}{3}  + 5</h3>

<u>Find the LCM</u>

The LCM is 3

We have

<h3>-  \frac{1}{3}  +  \frac{5}{1}  \\   \rarr  \frac{ - 1 + 15}{3}</h3>

We have the final answer as

<h3>f( \frac{1}{2} ) =  \frac{14}{3}</h3>

Hope this helps you

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In an endurance race, Rachel ran
Reil [10]

Answer:

31\frac{1}{5}\ miles

Step-by-step explanation:

we know that

The speed is equal to divide the distance by the time

so

The distance is equal to multiply the speed by the time

we have

speed=9\frac{3}{5}\ \frac{miles}{hour}

time=3\frac{1}{4}\ hours

distance=(9\frac{3}{5})(3\frac{1}{4})

Convert mixed number to an improper fraction

9\frac{3}{5}=9+\frac{3}{5}=\frac{9*5+3}{5}=\frac{48}{5}

3\frac{1}{4}=3+\frac{1}{4}=\frac{3*4+1}{4}=\frac{13}{4}

substitute

distance=(\frac{48}{5})(\frac{13}{4})=\frac{624}{20}=31,2\ miles

Convert to mixed number

31.2\ mi=31+0.2=31+\frac{1}{5}=31\frac{1}{5}\ miles

3 0
3 years ago
Dalton's sister Dorina plays basketball and makes 84% of her free throws. If she attempts 225 free
mrs_skeptik [129]
She would make C. 189
6 0
3 years ago
Natalie walked
creativ13 [48]

Answer:

7 miles / hour

Step-by-step explanation:

I'm taking this to mean she walked 3.5 miles. She did this 1/2 hour.

Givens

d (distance ) = 3.5 miles

t (time) = 1/2 hour

r (rate) = ?

Formula

r = d/t

Solution

The easiest way to do this is to change the fractions to decimals.

t = 1/2 = 0.5 hours

r = 3.5 / 0.5

r = 7 miles per hour.

7 0
2 years ago
What is the difference between adding and subtracting??/
Naya [18.7K]
Yep he said it best good job


7 0
3 years ago
Compute the exact interest on $5,870 at 12% if the money is borrowed from June to December of the same year.
yawa3891 [41]

Answer:

The exact interest on $5,870 at 12% is $410.9

Step-by-step explanation:

From the information provided we know that

Principal amount: $5,870

Interest rate: 12% -> 0.12

Time: 7 months (From June to December)

When you know the principal amount, the rate, and the time, the amount of interest can be calculated by using the formula:

I=P\cdot r\cdot t

where P is principal, r is the rate of interest and t is the time in years.

We need to convert the 7 months into 1 year.

7 \>months \cdot \frac{1 year}{12 months} = \frac{7}{12} year

Now we can use the above formula

I=P\cdot r\cdot t=5870\cdot 0.12 \cdot \frac{7}{12} \\I = 0.12\cdot \frac{7\cdot \:5870}{12}\\I = 0.12\cdot \frac{20545}{6}\\I = \frac{2465.4}{6}\\I = 410.9

Therefore the exact interest on $5,870 at 12% is $410.9

7 0
3 years ago
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