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3 years ago

Help me on question 9

Mathematics

2 answers:

gogolik [260]3 years ago

7 0

Answer:

Step-by-step explanation:

The problen asks for 5 more than two times n. 2 times n suggests multiplication. So we start out with 2n. When it says 5 more it suggests addition. So we end up with 2n+5

saul85 [17]3 years ago

3 0

The correct answer is C

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The function f(x) =2(3)^x is to be multiplied by the function g(x) 3(3)^(2x) to create the function h(x). Which function is prod

maria [59]

Answer C is the right answer.

Step-by-step explanation:

h(x) = f(x) * g(x)

h(x) = (2*3^x ) * ( 3*3^2x )

2 * 3 is easy, that will be 6.

The ground number 3 remains 3 in h(x), so that is easy too...

But with multiplying exponents, you can add them.

Let's concentrate only on the exponents of f(x) and g(x)... and add them...

x + 2x =3x

So, now combine the easy part with this new exponent, and you get h(x) = 6*(3)^(3x)

So answer C is the right answer.

7 0

3 years ago

You have 100 feet of fencing and decide to make a rectangular garden. What is the largest area enclosed

k0ka [10]

Answer:

625 ft^2

Step-by-step explanation:

Given

$P = 100$ --- perimeter

Required

The largest area

The perimeter is calculated as:

$P = 2 * ( L + W)$

So, we have:

$2 * ( L + W) = 100$

Divide both sides by 2

$L + W = 50$

Make L the subject

$L = 50 - W$

The area is calculated as:

$A= L * W$

Substitute $L = 50 - W$

$A= (50 - W) * W$

Open bracket

$A = 50W - W^2$

Differentiate with respect to W

$A' = 50 -2W$

Set to 0; to get the maximum value of W

$50 - 2W = 0$

Collect like terms

$-2W = -50$

Divide by -2

$W = 25$

So, the maximum area is:

$A = 50W - W^2$

$A = 50 * 25 - 25^2$

$A = 1250 - 625$

$A = 625$

3 0

3 years ago

What is The simple interest earned on a deposit of $3000 at 6% for five years

Norma-Jean [14]

Answer: $900

Step-by-step explanation:

The simple interest is calculated using the formula:

(P × R × T)/100

where,

P = Principal = $3000

R = Rate = 6%

T = Time = 5 years

Simple Interest = (P × R × T)/100

= ($3000 × 6 × 5)/100

= 90000/100

= $900

Therefore, the simple interest is $900

4 0

3 years ago

7 = -x+3. Consider the line y = Find the equation of the line that is parallel to this line and passes through the point (-5, 6)

artcher [175]

Answer with explanation:

The equation of line is, y= -x +3

→x+y-3=0---------(1)

⇒Equation of line Parallel to Line , ax +by +c=0 is given by, ax + by +K=0.

Equation of Line Parallel to Line 1 is

x+y+k=0

The Line passes through , (-5,6).

→ -5+6+k=0

→ k+1=0

→k= -1

So, equation of Line Parallel to line 1 is

x+y-1=0

⇒Equation of line Perpendicular to Line , ax +by +c=0 is given by, bx - a y +K=0.

Equation of Line Perpendicular to Line 1 is

x-y+k=0

The Line passes through , (-5,6).

→ -5-6+k=0

→ k-11=0

→k= 11

So, equation of Line Parallel to line 1 is

x-y+11=0

4 0

3 years ago

An average of 15 people visited a neighborhood lemonade stand over 3 days.On the first day 18 people came to the stand on the se

Lunna [17]

11 people. Hope this helped!!

6 0

3 years ago

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