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andreev551 [17]
3 years ago
9

an integer is one more than four times another. if the product of two integers is 39, then find the integers

Mathematics
2 answers:
Sholpan [36]3 years ago
8 0
Sorry if its illegible, you can ask if its not clear

strojnjashka [21]3 years ago
3 0

Answer:

The integers are 3 and 13

Step-by-step explanation:

Let the integers are x and y.

Then from the given directions we can frame two equations.

x=4y+1.........(1)\\\\xy=39..........(2)\\\\

From equation 2, the value of x is x=\frac{39}{y}

On substituting this value in equation 1, we get

\frac{39}{y}=4y+1\\4y^2+y-39=0

Applying the quadratic formula, we get

y_{1,\:2}=\frac{-1\pm \sqrt{1^2-4\cdot \:4\left(-39\right)}}{2\cdot \:4}\\\\y=3,\:y=-\frac{13}{4}

Among these two values, 3 is an integer.

Hence, y= 3

The value of x is x= 39/3 = 13

Therefore, the integers are 3 and 13

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Answer:

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Step-by-step explanation:

perimeter of a kite formula: 2(a+b)

a= 18 inches

b= 21 inches

2(18+21)

2(39)

78 inches

8 0
3 years ago
Given limit f(x) = 4 as x approaches 0. What is limit 1/4[f(x)]^4 as x approaches 0?
stepladder [879]

Answer:

\displaystyle 64

General Formulas and Concepts:

<u>Calculus</u>

Limits

Limit Rule [Variable Direct Substitution]:                                                             \displaystyle \lim_{x \to c} x = c

Limit Rule [Variable Direct Substitution Exponential]:                                         \displaystyle \lim_{x \to c} x^n = c^n

Limit Property [Multiplied Constant]:                                                                     \displaystyle \lim_{x \to c} bf(x) = b \lim_{x \to c} f(x)

Step-by-step explanation:

<u>Step 1: Define</u>

<em>Identify</em>

\displaystyle  \lim_{x \to 0} f(x) = 4

<u>Step 2: Solve</u>

  1. Rewrite [Limit Property - Multiplied Constant]:                                           \displaystyle \lim_{x \to 0} \frac{1}{4}[f(x)]^4 = \frac{1}{4} \lim_{x \to 0} [f(x)]^4
  2. Evaluate limit [Limit Rule - Variable Direct Substitution Exponential]:       \displaystyle \lim_{x \to 0} \frac{1}{4}[f(x)]^4 = \frac{1}{4}(4^4)
  3. Simplify:                                                                                                         \displaystyle \lim_{x \to 0} \frac{1}{4}[f(x)]^4 = 64

Topic: AP Calculus AB/BC (Calculus I/I + II)

Unit: Limits

Book: College Calculus 10e

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zhannawk [14.2K]

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