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3 years ago

If f(x) = 2x-5, which expression represents f(x+1)

Mathematics

2 answers:

ANEK [815]3 years ago

7 0

Answer: The required expression for f(x+1) is 2x-3.

Step-by-step explanation: We are given the following function :

$f(x)=2x-5~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~(i)$

We are to find the expression for f(x+1).

To find the expression for f(x+1), we need to substitute x+1 in place of x in (i).

So, we get from expression (i) that

$f(x+1)\\\\=2(x+1)-5\\\\=2x+2-5\\\\=2x-3.$

Thus, the required expression for f(x+1) is 2x-3.

ra1l [238]3 years ago

4 0

F(x)=2x-5
Insert the value of x which is x+1 ->
F(x+1)= 2(x+1)-5
Distribute ->
F(x+1)=2x+2-5
Then, add like terms->
F(x+1)=2x-3

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Find the value of r so the line that passes through (-5,2) and (3,r) has a slope of -1/2

soldier1979 [14.2K]

The value of r so the line that passes through (-5,2) and (3,r) has a slope of -1/2 is -2

<u>Solution:</u>

Given that line is passing through point (-5, 2) and (3, r)

Slope of the line is $\frac{-1}{2}$

Need to determine value of r.

Slope of a line passing through point $\left(x_{1}, y_{1}\right) \text { and }\left(x_{2}, y_{2}\right)$ is given by following formula:

$\text { Slope } m=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}$ --- eqn 1

$\text { In our case } x_{1}=-5, y_{1}=2, x_{2}=3, y_{2}=\mathrm{r} \text { and } m=-\frac{1}{2}$

On substituting the given value in (1) we get

$\begin{array}{l}{-\frac{1}{2}=\frac{r-2}{3-(-5)}} \\\\ {\text { Solving the above expression to get value of } r} \\\\ {=>-\frac{1}{2}=\frac{r-2}{3+5}} \\\\ {=>-8=\frac{r-2}{3+5}} \\\\ {=>-8=2(r-2)} \\\\ {=>-8=2 r-4} \\\\ {=>2 r=-8+4} \\\\ {=>2 r=-4} \\\\ {=>r=\frac{-4}{2}=-2}\end{array}$

Hence the value of "r" is -2

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3 years ago

How do you change a battery in a car

Nutka1998 [239]

Answer:

Simple

Step-by-step explanation:

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A line has a slope of 3/5. a line parallel to that line would have a slope of

nekit [7.7K]

-3/5 they have opposite slopes so they would never touch but are parallel.

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3 years ago

Please help. Thank you :)

mixer [17]

Okay, first let's look at what they give us!

The measure of angle 2 is 3x + 1

Measure of angle 3 is 2x + 4

And they give us that one angle is right which means it is 90°

Now if we use what we know of triangles, we know that all the angles in a triangle add up to equal 180 which means if we add angle 2, angle 3, and the right angle together we should get 180. Let's write an equation for it:

3x + 1 + 2x + 4 + 90 = 180

First we will add together liked terms!

3x + 2x = 5x

1 + 4 + 90 = 95

This gets us:

5x + 95 = 180

Second, let's get rid of that 95 by subtracting it from both sides, after doing this it should leave us with:

5x = 85

Third we need to get the x by itself and we can do it by dividing both sides by 5 to get:

x = 17

Now the question asks to find the measure of angle 2, given that angle 2 is 3x + 1 all there is left to do is to plug in 17 for x!

3(17) + 1

51 + 2 to get us 52!

Answer: 52

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Katarina [22]

Answer:

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Step-by-step explanation:

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