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Svet_ta [14]
3 years ago
12

Give the equation for each of the following statements.

Mathematics
1 answer:
emmasim [6.3K]3 years ago
4 0

Answer:

Step-by-step explanation:

1. Y varies jointly as R and T

Y = k*R*T

Y = kRT

Where,

k = constant of proportionality

2. B is directly proportional to the square of A and inversely proportional to the cube of C.​

B = k(A²) / C³

B = kA²/C³

Where,

k = constant of proportionality

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A rectangle has sides measuring (2x + 7) units and (5x + 9) units. Part A: What is the expression that represents the area of th
andrey2020 [161]

Answer:

Part A:  

(2x+7)(5x+9)

=(2x+7)(5x+9)

=(2x)(5x)+(2x)(9)+(7)(5x)+(7)(9)

=10x2+18x+35x+63

=10x2+53x+63

A)

The formula for determining the area of a rectangle is given as

Area = length × width

Given that the length and width are (2x + 6) units and (5x + 3) units, the expression for the area is

(2x + 6)(5x + 3) = 10x² + 6x + 30x + 18

Area = 10x² + 36x + 18

B)

The degree is 2 because the highest power of the terms is 2. It is classified as a trinomial because it has 3 terms.

C) it is closed under multiplication. the exponents in the polynomials are whole numbers(2 and 1). The whole numbers are closed under addition, which means that the new exponents formed are also whole numbers. The exponents were whole numbers before multiplication and doesn't change after multiplication.

Step-by-step explanation:

3 0
3 years ago
Express in form of (2x)^4 continued product​
Svetradugi [14.3K]

(2x)^4 = 16x^4 is the continued product

3 0
3 years ago
Which of the following equations has one real solution?
erastovalidia [21]

Answer:

4x2−12x+9=0

Step-by-step explanation:

The equation, 2x2+x+3=0, does not have a solution

The equation, x2+5x−3=0, equals -5/2+1/2√37 and -5/2+-1/2√37

The equation, x2−5x+4=0, equal 1 and 4

The equation, 4x2−12x+9=0, equals only 3/2

Hope this Helps

4 0
3 years ago
How many inches are in feet
GaryK [48]
Answer: 12 inches

Explanation:

12 inches = 1 feet
3 0
3 years ago
Read 2 more answers
A website received 2500 registered members in July. And the number of registered members in August decreased to 2245. What was t
quester [9]

Number of registrations a website received during July = 2500

Number of registrations a website received during August = 2245

Number by which the registrations decreased :

=\tt 2500 - 2245

=\tt 255

Thus, the registrations decreased by 255.

Let x be the perrcentage of decrease.

Which means :

=\tt 255 =  \frac{x}{100}  \: of \: 2500

= \tt255 =  \frac{x \times 2500}{100}

=\tt 255 =  \frac{2500x}{100}

= \tt255 \times 100  = 2500x

= \tt25500 = 2500x

=\tt  \frac{25000}{2500}  = x

\color{plum} =\tt  \bold{10.2\%}

▪︎Thus, the percentage of decrease in the number of registered members = 10.2%

5 0
3 years ago
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