All categories

3 years ago

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

You might be interested in

Find the measure of arc EC.

miss Akunina [59]

Answer:

Step-by-step explanation:

$7x = (90 + 5x) \times \frac{1}{2}$

$7x = {2.5x} + 45$

$4.5x = 45$

$x = 10$

Plug 10 in for x.

$5(10) = 50$

8 0

3 years ago

Jacey obtains a 30-year 6/2 ARM at 4% with a 2/6 cap structure in the amount of $224,500. What is the monthly payment during the

beks73 [17]

In this case we have an ARM fixed for 6 years and adjust after the initial first 6 years every 2 years after. The basic idea behind a ARM is that the interest changes periodically, but since our ARM is fixed for 6 years, our going to calculate the monthly payment during the initial period using the formula: $m= \frac{P( \frac{r}{12}) }{1-(1+ \frac{r}{12})^{-12t} }$
where
$m$ is the monthly payment
$P$ is the amount
$r$ is the interest rate in decimal form
$t$ is the number years

First we need to convert our interest rate of 4% to decimal form by dividing it by 100%:
$\frac{4}{100} =0.04$
We also know from our question that $P=224500$ and $t=30$ , so lets replace those values into our formula to find the monthly payment:
$m= \frac{224500( \frac{0.04}{12}) }{1-(1+ \frac{0.04}{12})^{-(12)(30)} }$
$m=1071.80$

We can conclude that the monthly payment during the initial period is $1071.58<span />

7 0

3 years ago

4-inch by 6-inch what is the width of 15 inches for a ratio table

quester [9]

This is a ratio problem; the ratio of the length to width is constant (and therefore equal):

4 /6 = 15 / x

Now, with a ratio, we may do any allowable algebra operation: cross-multiply, invert both sides, multiply or divide both sides by the same amount, etc.

Let's cross-multiply:

4x = (15)(6)

x = 90/4

x = 22.5 in.

3 0

3 years ago

Plz help .......................

Makovka662 [10]

$\frac{ 6\sqrt{2}}{ \sqrt{3} }$

Multiply the square root of 3 by the square root of 2 and itself.
The 3 cancels itself out and then you get A

6 0

3 years ago

Please help math problem

dedylja [7]

Answer :im not very sureeee

Step-by-step explanation:

8 0

3 years ago