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3 years ago

Given the function ƒ( x ) = 3 x + 1, evaluate ƒ( a + 1).

Mathematics

2 answers:

Goshia [24]3 years ago

8 0

The equation would equal Axf+f

Nadya [2.5K]3 years ago

5 0

We were given $f(x)=3x +1$

To find $f(a+1)$ , just plug in
$(a+1)$ wherever you see $x$

$f(a+1)=3(a+1)+1$

$f(a+1)=3a +3+1$

$f(a+1)=3a +4$

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The perimeter of a triangle is 32 feet. One side of the triangle is 3 times the second side. The third side is 12 feet longer

Ivenika [448]

We have a triangle whose perimeter is 32 feet. Some information regarding the sides of the triangle is given:

GiveN:

One side is 3 times the second side.
Third side is 12 feet longer than the second side.

As we can see that, two sides of the triangle are defined the second sides. It means First and third side can be expressed in the form of second side.

So let the second side be x

Then,

First side = 3x
And, third side = x + 12

We know that, perimeters is the sum of the lengths of all sides of the triangle, So it can be written as:

$3x + x + x + 12 = 32$

Solving it further,

$5x + 12 = 32$

Subtracting 12 from both sides,

$5x + 12 - 12 = 32 - 12$

$5x = 20$

Dividing 5 from both sides,

$\frac{5x}{5} = \frac{20}{5}$

$x = 4$

Then,

First side = 3x = 12 feet
Second side = 4 feet
Third side = x + 12 = 16 feet

And we are done with the answer !!

#CarryOnLearning

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4 0

3 years ago

a country's population in 1992 was 169 million in 1999 it was 174 million estimate the population in 2010 using the exponential

ahrayia [7]

In 1992: t=0 and A=169 million
In 1999: t=7 and P= 174 million

Solve for k: blah blah blah

In 2010: t=18

The answer is : 182 million (trust me)

7 0

3 years ago

A taxi costs 1.65 for the first mile and 0.85 for each additional mile. Which equation could be solved to find the number x of a

diamong [38]

1.65 + 0.85x= $20
0.85x=$18.35
x=21 10/17
first you write the equation
then you have to subtract 1.65 from the equation but you also have to subtract it from 20
then you divide 0.85 from 0.85x and from the 18.35 left over from subtracting 1.65 from 20
then you should get x=21 10/17 (simplified) but the decimal form is a ongoing fraction so you can just round it up to the nearest hundredth

5 0

3 years ago

A wood stove burns 4 same-sized logs in 2 hours. How many logs does the stove burn in 8 hours?

Liono4ka [1.6K]

(4logs/2hours) = (x logs/8 hours)

(4/2) = x/8)

Cross multiplication gets you:

(4)(8) = (2)x
32 = 2x
x = 16

16 logs

8 0

3 years ago

Read 2 more answers

<img src="https://tex.z-dn.net/?f=%20%5Csqrt%7B2536%7D%20" id="TexFormula1" title=" \sqrt{2536} " alt=" \sqrt{2536} " align="abs

fgiga [73]

Answer:

50.35