In which quadrant does the point lie? Write the coordinates of the point.

Which of the following rational functions is graphed below?

Anarel [89]

Answer:

D. F(x) = $\frac{1}{(x+4)}^{2}$

8 0

3 years ago

A rectangle has a perimeter of 36 feet. The length of the mat is twice the width. Write and solve an equation to determine the l

Lorico [155]

❍ Concept :-

⠀

We have been provided with some information regarding a rectangular shaped mat. And on the basis of that information, we will create some assumptions and create and equation and equate it to get our required answer.

⠀

✱ Given Information :-

⠀

A rectangular mat with,

Perimeter = 36 ft.
Length = twice the width

⠀

✱ To Find :-

⠀

The dimensions of the mat
Area of the mat

⠀

✱ Formula Used :-

⠀

$\diamond \: \underline{ \boxed{\begin{array}{cc} \sf1. \: Perimeter_{Rectangle} = 2(l+b) \\ \\ \sf 2. ~Area_{Rectangle} = l\times b \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \end{array}}} \: \star \\$

⠀

✱ Solution :-

⠀

Let the breadth of the mat be x, therefore,

Length = 2x

⠀

Now, according to the question,

⠀

$\sf \hookrightarrow 36 \: = 2(2x + x) \\ \\ \\ \sf \hookrightarrow 6x = 36 \: ft. \: \: \: \: \: \: \: \: \: \\ \\ \\ \sf \hookrightarrow x = \cancel\frac{36}{6} = 6 \: ft. \: \: \\$

Thus,

Length = 2x = 2 x 6 = 12 ft.
Breadth = x = 6 ft.

⠀

Now, we have to find out the area of the mat, thus,

⠀

$\sf \hookrightarrow Area=6 \times 12 \\ \\ \\\sf \hookrightarrow Area=72 \: sq. ~ft. \\ \\$

Thus, the area of the mat is 72 sq. ft.

⠀

$\underline {\rule{221pt}{2.5pt}} \\ \\$

7 0

3 years ago

0.62 with the 2 repeating as a fraction

Kaylis [27]

Answer:put a bar over the 2, not sure what you’re asking!

Step-by-step explanation:

5 0

4 years ago

Read 2 more answers

kristen invests money in a bank and makes no additional deposits or withdrawals. The bank pays 1.4% interest compounded annually

frosja888 [35]

Answer:approximately 50 years.

Step-by-step explanation:

Let $P represent the initial amount that she deposited. It means that principal,

P = $P

It was compounded annually. This means that it was compounded once in a year. So

n = 1

The rate at which the principal was compounded is 1.4%. So

r = 1.4/100 = 0.014

The formula for compound interest is

A = P(1+r/n)^nt

A = total amount in the account at the end of t years. For the initial amount to double, it means that

A = 2P

Therefore

2P = P (1+0.014/1)^1×t

2P/P = (1.014)^t

2 = (1.014)^t

Taking log to base 10 of both sides, it becomes

Log 2 = log 1.014^t

Log 2 = tlog 1.014

0.301 = 0.006t

t = 0.301/0.006 = 50.2 years

4 0

3 years ago

Read 2 more answers

Need help! Write the answer down on a paper plzzzzzzzz I will give brainlyest to person who gets it right!‼️❤️

natima [27]

Answer:

a. yes

b. no

c. yes

d. yes

e. yes

f. yes

g. no

h. no

7 0

3 years ago