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3 years ago

True or false that integers can be negative numbers

Mathematics

1 answer:

lisov135 [29]3 years ago

5 0

Answer:

true

Step-by-step explanation:

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Find two positive numbers satisfying the given requirements. The product is 432 and the sum of the first plus three times the se

kogti [31]

Answer:

Step-by-step explanation:

Let the two positive integers be x and y.

If their product is 432, then

xy = 432 ......... 1

Also if the sum of the first plus three times the second is a minimum, then;

p(x) = x + 3y

From 1;

y = 432/x ..... 3

Substitute 3 into 2;

p(x) = x+3y

p(x)= x + 3(432/x)

p(x) = x + 1296/x

Since the expression is at minimum when dp(x)/dx = 0

dp/dx = 1 + (-1296)/x²

dp/dx = 1 -1296/x²

0 = 1 -1296/x²

0 = (x²-1296)/x²

cross multiply

0 = x²-1296

x² = 1296

x = √1296

x = 36

Since xy = 432

36y = 432

y = 432/36

y = 12

Hence the two positive numbers are 36 and 12

4 0

3 years ago

Y=19x+19b solve for b in the literal equation

Ymorist [56]

Y=19x+19b
To solve for b you first need to subtract 19x from both sides giving you:

y-19x=19b

Then, divide by 19 on both sides to get

(y/19)-x=b

So b=(y/19)-x

Hope this helps!!! Follow me :)

3 0

3 years ago

Write the point-slope form of an equation of the line through the points (-2, -3) and (-7, 4).

Ivenika [448]

Answer:
7x+5y +29= 0
Step-by-step explanation: first we have to find slop of the line that is.( Y2-Y1)/x2-x1
M = slope = 4+3)/-7+2
M= 7/-5
Equation of line y - y 1 = M (X - X1)
Y+3 = 7/-5 (x+2)
7x + 5y +29 =0 Ans .

4 0

2 years ago

When Mary and jack bought their house,their property taxes were $2650 annually. After 8years, their property taxes are now $5035

Morgarella [4.7K]

Please find the attached file of solution

8 0

3 years ago

Indicate in standard form the equation of the line passing through the given point and having the given slope

Naddik [55]

ANSWER

The equation is

$y - 5x + 20 = 0$

EXPLANATION

Let the equation be
$y = mx + c$

where
$m = 5$
is the slope of the line.

We substitute this value to obtain,

$y = 5x + c$

Since the line passes through
$(4,0)$
we can use this point to determine the value of c.

We substitute this point to obtain,

$0 = 5(4) + c$

$0 = 20 + c$

$c = - 20$

Our equation now becomes

$y = 5x - 20$

We can write this in standard form as

$y - 5x + 20 = 0$

6 0

3 years ago