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max2010maxim [7]
3 years ago
5

What is the effect on the graph of the function f(x) = 2x when f(x) is replaced with f(x + 5)? A) translate vertically 5 units u

p B) translate vertically 5 units down C) translate horizontally 5 units left D) translate horizontally 5 units right
Mathematics
2 answers:
tresset_1 [31]3 years ago
6 0

Answer:

C) translate horizontally 5 units left

Step-by-step explanation:

f(x + 5)

Is a change in domain

The graph of f(x) is shifted 5 units towards the left to obtain the graph of f(x+5)

Leto [7]3 years ago
5 0

Answer:

C

Step-by-step explanation:

When we only change the x part of the function (that is, we add, subtract, multiply, or divide something in relation to the x part of f(x)), that is called a horizontal transformation. When we change the entire function, that's a vertical transformation.

In this case, because we are only changing the x (we turn f(x) into f(x + 5)), this is a horizontal transformation. One thing to note about horizontal transformations is that they are "backwards", which means that if we add to the x, we actually move the graph in the negative direction (which is to the left), whereas if we subtract from x, we move the graph in the positive direction (which is to the right).

Here, we're adding 5 to x, which we know means that we are translating the graph of f(x) horizontally to the left 5 units.

Thus, the answer is C.

Hope this helps!

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How many total fat grams should you consume eating 2600 cal per day hint: use 30%
kotykmax [81]

Answer:

780 fat grams

Step-by-step explanation:

30%×2600=780

3 0
3 years ago
2/5(g - 7) = 3 <br> can i please get some help..
Flura [38]

Answer:

14.500

Step-by-step explanation:

Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :

                    (2)/(5)*(g-7)-(3)=0

Step by step solution :

STEP

1

:

           2

Simplify   —

           5

Equation at the end of step

1

:

  2              

 (— • (g - 7)) -  3  = 0

  5              

STEP

2

:

Equation at the end of step 2

 2 • (g - 7)    

 ——————————— -  3  = 0

      5        

STEP

3

:

Rewriting the whole as an Equivalent Fraction

3.1   Subtracting a whole from a fraction

Rewrite the whole as a fraction using  5  as the denominator :

        3     3 • 5

   3 =  —  =  —————

        1       5  

Equivalent fraction : The fraction thus generated looks different but has the same value as the whole

Common denominator : The equivalent fraction and the other fraction involved in the calculation share the same denominator

Adding fractions that have a common denominator :

3.2       Adding up the two equivalent fractions

Add the two equivalent fractions which now have a common denominator

Combine the numerators together, put the sum or difference over the common denominator then reduce to lowest terms if possible:

2 • (g-7) - (3 • 5)     2g - 29

———————————————————  =  ———————

         5                 5  

Equation at the end of step

3

:

 2g - 29

 ———————  = 0

    5  

STEP

4

:

When a fraction equals zero

4.1    When a fraction equals zero ...

Where a fraction equals zero, its numerator, the part which is above the fraction line, must equal zero.

Now,to get rid of the denominator, Tiger multiplys both sides of the equation by the denominator.

Here's how:

 2g-29

 ————— • 5 = 0 • 5

   5  

Now, on the left hand side, the  5  cancels out the denominator, while, on the right hand side, zero times anything is still zero.

The equation now takes the shape :

  2g-29  = 0

Solving a Single Variable Equation:

4.2      Solve  :    2g-29 = 0

Add  29  to both sides of the equation :

                     2g = 29

Divide both sides of the equation by 2:

                    g = 29/2 = 14.500

One solution was found :

g = 29/2 = 14.500

8 0
3 years ago
Read 2 more answers
PLEASE HELP ME I BEG I REALLY NEED HELP WITH THIS PROBLEM!
lozanna [386]
Area = length x width

x² + 12x = l * x


A.  

First, you factor x from x² + 12x

x^{2} +12x=x(x+12)

area = x (x+12)

area = (x+12) * x

Length = x + 12



B.

If x = 10,
l = x + 12 = 10 +12 = 22
length = 22
and
Area = x² + 12x = 10² + 12(10) = 100 + 120 = 220
area = 220
        

Hope this helps :)
6 0
4 years ago
Hey ive been stuck on this question please help
Rudiy27

Answer:

$905

Step-by-step explanation:

Okay, so he's renting it for 12 days, there is a week in 12 days so 12-7=5.

$355 (cause it's an oversized truck)+110d

$355 + $110(5)

$355 + $550

$905

7 0
3 years ago
Find the area of this trapezoid. Include the correct unit in your answer.
NemiM [27]

Answer:

\displaystyle A _{ \text{trapezoid}} =  70 {m}^{2}

Step-by-step explanation:

we are given a trapezoid

we want to figure out the area

remember that,

\displaystyle A _{ \text{trapezoid}} =  \frac{a + b}{2} h

where a and b represent the parallel lines and h represents the height

we get from the pic that a and b are 5 and 15 respectively and h is 7

so substitute:

\displaystyle A _{ \text{trapezoid}} =  \frac{5 + 15}{2} \times  7

simplify addition:

\displaystyle A _{ \text{trapezoid}} =  \frac{20}{2} \times  7

simplify division:

\displaystyle A _{ \text{trapezoid}} =  10\times  7

simplify multiplication:

\displaystyle A _{ \text{trapezoid}} =  70

since we multiply two same units we of course have to use square unit

hence,

\displaystyle A _{ \text{trapezoid}} =  70 {m}^{2}

4 0
3 years ago
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