Which equation has a narrower graph than y = 4x^2?

PLS help ME!!!!<br> Simplify the expression

Vanyuwa [196]

Answer: -2.1p + 1.7

2.4 - 6p - 0.7 + 3.9p

Subtract 6p from 3.9p. (-2.1p)

Subtract 0.7 from 2.4. (1.7)

5 0

3 years ago

Please help The perimeter of a rectangular shape electronic keyboard is 14 ft. Its width is 3 ft longer than its depth

kipiarov [429]

Answer:

Width = 6ft Area = 54 sq ft

Step-by-step explanation:

First, re-read the problem until you understand it and can put it into your own words. I re-wrote it like this: "Find the area of a rectangle by first finding the length (L) and the width (W)." [note that I added "find L and W," but that is how I'm going to solve the problem; I could also have said that we will need the formulas, P=2L+2W and A=LW, but you knew that already, right?).

Translate the problem:

"The length of a rectangle is 3 ft longer than its width" means

L = 3 + W (eq1)

"the perimeter of the rectangle is 30 ft" means

P = 30 (eq2)

So, now the math is easy, just find L and W so we can compute the area:

P = 30 = 2L + 2W (eq3; from eq2 and the formula for P)

30 = 2(3+W) + 2W (use eq1 to substitute for L)

30 = 6 + 2W + 2W (distribute)

30 = 6 + 4W (collect terms)

24 = 4W (subtract 6 from both sides)

6 ft = W (divide both sides by 4)

Use the easiest equation (either eq1 or else eq3) to find L:

L = 3 + W (eq1)

L = 3 + 6

L = 9 ft

What is the area (A)?

A = L*W

A = (9 ft)*(6 ft)

A = 54 sq ft

3 0

3 years ago

Please please help. I have a bunch of these and I don’t understand it at all

shtirl [24]

The correct option is: Option (B) $\sum_{i=1}^{7} (5i-2)$

Explanation:

First thing is that the difference between each number in the series with the next number is 5. It means it must be the multiple of 5. There are two options that contain multiples of 5: Option B and Option D. Now in the option D, the upper limit is 6. If we put 6 in the expression: 5(6)-2, the last term would be 28. However in the series given in the question, the last term is 33. Hence 5(7) - 2 = 35 - 2 = 33 which is Option B.

When i=1: 5(1)-2 = 3
When i=2: 5(2)-2 = 8
When i=3: 5(3)-2 = 13
.
.
When i=7: 5(7)-2 = 35-2 = 33
Hence the correct option is (B).

3 0

3 years ago

A bank manager wants to encourage new customers to open accounts with principals of at least $2 comma 500. He decides to make a

prisoha [69]

Answer:

To earn $10 in 1st month, the principal must be $4,000.

No, the poster cannot claim that "Open an account of $2 comma 500 and earn at least $10 interest in 1 month!".

Step-by-step explanation:

We have been given that a bank manager wants to encourage new customers to open accounts with principals of at least $2,500. He decides to make a poster advertising a simple interest rate of 3%. We are asked to find the principal to advertise that one can earn $10 the first month.

We will use simple interest formula to solve our given problem.

$I=Prt$ , where,

I = Amount of interest,

P = Principal amount,

r = Annual interest rate in decimal form,

t = Time in years.

$r=3\%=\frac{3}{100}=0.03$

1 month will be equal to $\frac{1}{12}$ .

$\$10=P\cdot0.03\cdot \frac{1}{12}$

$\$10=0.0025P$

$\frac{\$10}{0.0025}=\frac{0.0025P}{0.0025}$

$P=\$4000$

Therefore, to earn $10 in 1st month, the principal must be $4,000.

Now, we will check if an account of $2,500 can earn at least $10 interest in 1 month.

$I=\$2500\cdot 0.03\cdot \frac{1}{12}$

$I=\$6.25$

Since the account earns an amount of $6.25 in one month, therefore, the poster is not true.

4 0

3 years ago

Which diagram shows lines that must be parallel lines cut by a transversal?

eimsori [14]

9514 1404 393

Answer:

2 horizontal lines are intersected by another line. At the intersection with the first line, the bottom right angle is 91 degrees. At the intersection with the second line, the top right angle is 89 degrees.

Step-by-step explanation:

The last of the statements describes consecutive (same-side) interior angles at the transversal that are supplementary. That condition exists when the lines are parallel.

7 0

3 years ago

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