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Sedbober [7]
4 years ago
10

Determine whether the number is divisible by 5. Give a reason based on the tests for divisibility. 15

Mathematics
1 answer:
prohojiy [21]4 years ago
3 0
15 is divisible by 5 because the last digit of 15 is 5.

A number is divisible by 5 if the last digit of the number ends in 0 or 5
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If a function is one to one then the range becomes the what of the inverse function
Ganezh [65]

One-to-One Functions. ... If no horizontal line intersects the graph of the function f in more than one point, then the function is 1 -to- 1 . A function f has an inverse f−1 (read f inverse) if and only if the function is 1 -to- 1 .

4 0
4 years ago
Suppose log subscript a x equals 2, space log subscript a y equals 5, and log subscript a z equals short dash 3. Find the value
sineoko [7]

The value of the logarithmic expression  \log _a (\frac{x^3y}{z^4} ) is 24.

Given the following logarithmic expressions \log _ax = 3, \log _ay = 7, \log _az = -2 , we are to find the value of \log _a (\frac{x^3y}{z^4} )

from the above \log _ax = 3, x = a^3

\log _ay = 7, y = a^7

Substituting x = a^3, y = a^7  and z = a^{-2} into the log function\log _a (\frac{x^3y}{z^4} )  we will have;

\log _a (\frac{x^3y}{z^4} )\\=\log _a (\frac{(a^3)^3 \times a^7}{(a^{-2})^4} )\\= \log _a (\frac{a^9 \times a^7}{a^-^8} )\\= \log _a (\frac{a^1^6}{a^-^8} )\\= \log _a (\frac{x^3y}{z^4} )\\= \log _a a^2^4\\= 24 \log _a a\\= 24 \times 1\\= 24

Hence, the value of the logarithmic expression is 24

<h3>What is logarithmic expression?</h3>
  • In an exponential equation, the variable is expressed as an exponent. An equation using the logarithm of an expression containing a variable is referred to as a logarithmic equation.
  • Check to determine if you can write both sides of the equation as powers of the same number before you attempt to solve an exponential equation.

To learn more about logarithmic expression with the given link

brainly.com/question/24211708

#SPJ4

3 0
2 years ago
C an anyone solve this 3(2b + 3)2 = 36<br> and if so what is it
Natali [406]
3(2b + 3)^2 = 36

Divide by 3 on both sides:
(2b + 3)^2 = 12

Square root both sides:
2b + 3=  \pm \sqrt{12}

Take away 3 from both sides:
2b= \pm \sqrt{12} - 3

Divide by 2 on both sides:
b=  \dfrac{ \sqrt{12} -3 }{2}  \ or \ b=  \dfrac{ -\sqrt{12} -3 }{2}

Answer:
b=  0.23 \ or \ -3.23


5 0
3 years ago
Read 2 more answers
If two sides of adjacent acute angles are perpendicular, then the angles are perpendicular.
Flauer [41]
False, they would be called Complementary
6 0
3 years ago
Suppose a rectangular plot is to be fenced in, with the fencing on each of the four sides (labeled east, west, north, south) cos
Damm [24]

Answer:

A = 1701,38 ft²

Dimensions :

x (north and south sides )  =  38.89 ft

y ( east and west sides )    =   43,75 ft

Step-by-step explanation:

North  and south (sides of same length) equal  "y"  cost  (4 + 5 ) = 4,5  $/ft²

East and west   (sides of same length)  equal   "x"   cost   ( 3 + 5 ) = 4 $ /ft²

Equation of cost is

C  = Cost of (north + south ) + Cost (east + west)

C = 2 * 4,5 * x  + 4*2* y

C = 9x + 8y                        

700 = 9x + 8y    ⇒              y = ( 700- 9x)/ 8

A = x*y

A(x)  =  x * ( 700 - 9x ) /8

A(x)  =  ( 700 x  -9x²) / 8       A´(x)  = ( 700 - 18 x )/ 8    A´(x) = 0

( 700 - 18 x )/ 8 = 0       ⇒  700 - 18 x  = 0   ⇒ x = 700/18

x = 38.89 ft

y  = ( 700 - 9x )/8      ⇒  y = 349.99 / 8     ⇒  y = 43.75

And maximum ara is

A = x*y         A = 38.89 * 43.75  =  1701,38 ft²

5 0
4 years ago
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