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Debora [2.8K]
4 years ago
10

The length of a rectangle is 5 inches more than its width, x. The area of a rectangle can be represented by the equation x 2 + 5

x = 300. What are the measures of the width and the length?
Mathematics
1 answer:
pochemuha4 years ago
4 0
This is a system of equations. We know that if L is length, L=x+5, and area=L*w, where w=x. So, 2+5x=(x+5)x therefore 2+5x=x^2+5x. Subtracting 5x from both sides, x^2=2, therefore x=sqrt(2). So, the width is sqrt(2) and length=sqrt(2)+5
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Calculate the rf value for the reactant b spot. estimate the ruler to the nearest tenth, report the answer using two significant
Aliun [14]
<span>1. Measure the distance the solvent front traveled from the baseline (m1). 2. Measure the distance the reactant b spot traveled (the center of the spot) (m2). 3. To determine the rf, divide (m2/m1). 4. Significant figures- use 2 so the answer should be written to the hundredths place as the spot will not travel farther than the solvent front.</span>
8 0
3 years ago
If f(x) = 2x2 + 1 and g(x) = x2 - 7, find (f + g)(x).​
pishuonlain [190]

Answer:

(f+g)(x) = 3x^{2} - 6

Step-by-step explanation:

First, lets understand what (f+g)(x) means.

(f+g)(x) is when you are taking the values in the function f(x) and adding it to the values in the function g(x).

So, this is what the equation looks like when you substitute the functions in to (f+g)(x):

(f+g)(x) = (2x^{2} +1) + (x^{2}  -7)

Now, combine like terms and Simplify:

(f+g)(x) = 3x^{2} - 6

This is your final answer.

7 0
4 years ago
During strenuous work a human body generates about 2,400 BTUs of body heat per hour. If 7 bodybuilders are in a gym that is 20 f
Ede4ka [16]
By doing dimensional analysis, we can easily calculate for what is being asked here. We do as follows:

Given:
Energy per time = 2400 BTU/hr
time period = 3 hrs
number of subjects = 7
Measurement of the weights = <span>20 ft × 25 ft × 12 ft

The energy produced for 3 hours would be:

2400 BTU/hr ( 3hr) = 7200 BTU
Volume of each weight = </span><span>20 ft × 25 ft × 12 ft = 6000 ft^3

Energy per volume = 7200 / 6000 = 1.2 BTU/ft^3

However, we have 7 bodybuilders producing this amount therefore,

Total energy produced = 7 (1.2 BTU/ft^3) = 8.4 BTU/ft^3</span>
4 0
3 years ago
Plzz help me with this question ​
Olegator [25]

Answer:

4

Step-by-step explanation:

The degree is equal to the largest exponent on a variable. In this instance, it is 4.

8 0
3 years ago
NOTE -- THIS QUESTION HAS BEEN ANSWERED ALREADY!!!
DanielleElmas [232]

Answer:

The cubic polynomial is: x³ - x² - 6x.

Step-by-step explanation:

Given the degree and the roots of the polynomial we can find it.

An n - degree polynomial has n roots.

Here, given that the degree of the polynomial is 3 and three roots are given. Also, if (x - a) is a factor of a polynomial then x = a is a root of the polynomial. The converse is also true.

Since, the roots of the polynomial are given to -2, 0, 3 then it should have had the following factors.

(x + 2)(x - 0)(x - 3) = 0

Multiplying them we get:

⇒ $ (x^2 + 2x)(x - 3) $

$ = x^3 - 3x^2 + 2x^2 - 6x $

$ = x^3 - x^2 - 6x $ which is the required cubic polynomial.

Hence, the answer.

4 0
3 years ago
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