The graph of y=|x| is shifted down 9 units

Need help in question 2 can someone help me

Margarita [4]

They have advanced weapons and are used to war i suppose.

6 0

4 years ago

Every summer, Kendra plants a vegetable garden. Last year, she planted 6 rows of tomatoes and 8 rows of peppers. Kendra wants to

Usimov [2.4K]

Answer:

16 rows of peppers

Step-by-step explanation:

ratio x 2 :)

5 0

3 years ago

Read 2 more answers

If 2(4x + 3)/(x - 3)(x + 7) = a/x - 3 + b/x + 7, find the values of a and b.

zmey [24]

Answer:

$a=3$ and $b=5$ .

Step-by-step explanation:

So I believe the problem is this:

$\frac{2(4x+3)}{x-3}(x+7)}=\frac{a}{x-3}+\frac{b}{x+7}$

where we are asked to find values for $a$ and $b$ such that the equation holds for any $x$ in the equation's domain.

So I'm actually going to get rid of any domain restrictions by multiplying both sides by (x-3)(x+7).

In other words this will clear the fractions.

$\frac{2(4x+3)}{x-3}(x+7)}\cdot(x-3)(x+7)=\frac{a}{x-3}\cdot(x-3)(x+7)+\frac{b}{x+7}(x-3)(x+7)$

$2(4x+3)=a(x+7)+b(x-3)$

As you can see there was some cancellation.

I'm going to plug in -7 for x because x+7 becomes 0 then.

$2(4\cdot -7+3)=a(-7+7)+b(-7-3)$

$2(-28+3)=a(0)+b(-10)$

$2(-25)=0-10b$

$-50=-10b$

Divide both sides by -10:

$\frac{-50}{-10}=b$

$5=b$

Now we have:

$2(4x+3)=a(x+7)+b(x-3)$ with $b=5$

I notice that x-3 is 0 when x=3. So I'm going to replace x with 3.

$2(4\cdot 3+3)=a(3+7)+b(3-3)$

$2(12+3)=a(10)+b(0)$

$2(15)=10a+0$

$30=10a$

Divide both sides by 10:

$\frac{30}{10}=a$

$3=a$

So $a=3$ and $b=5$ .

4 0

3 years ago

Read 2 more answers

Find the first four iterates of the function f(x) = x2 with an initial value of x0 = -1.

jasenka [17]

Option A: 1,1,1,1 is the right answer

Step-by-step explanation:

In finding the function iterates we start with the initial value and put the initial value into the function and then the output of previous iterate is used as input for next iterate

Given

$f(x) = x^2\\and\\x_0 = -1$

First iterate:

Putting x=-1 in the function

$f(-1) = (-1)^2\\=1$

Second iterate:

Putting x=1

$f(1) = (1)^2\\=1$

Third iterate:

Putting x=1

$f(1) = (1)^2\\=1$

Fourth iterate:

Putting x=1

$f(1) = (1)^2\\=1$

First four iterates of given function with initial value -1 are: 1,1,1,1

Hence,

Option A: 1,1,1,1 is the right answer

Keywords: Functions, iterates

Learn more about function iteration at:

#LearnwithBrainly

5 0

4 years ago

37.67 x 70.71 (please show the work)

Aliun [14]

Answer:

2663.6457

Step-by-step explanation:

37.67 *70.71

Multiply without the decimal points then put the decimal point in the answer :

3767*7071

37.67 has 2 decimal places :

70.71 has 2 decimal places :

Therefore , the answer has 4 decimal places :

=2663.6457

Hope it Helps :) !!!

6 0

3 years ago