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Sidana [21]
3 years ago
8

How many even 3 digit integers greater than 700 with distinct non zero digits are there?

Mathematics
1 answer:
vredina [299]3 years ago
8 0
For numbers 710-720 there are 4 integers  (712,714,716 and 718)
       numbers 720-730 there are 3 (724,726,728)

for 730-740 ,  750-760,  there are 4 in each case.
     740-750 , 760-770, 780-790   there are  3 in each case
and for 790-800 there are  4.  None for 770-780.

so for numbers  700 - 800 we have a total of  28 integers which fit the requirements.

The number for integers 800 to 900 and 900 to 999 will also be 28 in each case. 

Answer is  3*28 = 84 answer.
             
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Find a basis for the orthogonal complement of the subspace of R4 spanned by the vectors. v1 = (1, 4, -5, 3), v2 = (4, 15, 0, 5),
Arlecino [84]

Answer:

W1 =  ( -75, 20, 1 , 0 )

W2 = ( 25, -7 , 0, 1 )

Step-by-step explanation:

attached  below is the remaining part of the solution

for a homogenous system of equation ; Ax = 0

x1 + 4x2 -5x3 + 3x4 = 0

-x2 + 20x3 -7x4 = 0         note: x3 and x4 are free variables

we can take x3 = 0 and x4 = 1 , hence ; x2 = -7

∴ x1 - 28 + 3 = 0 = x1 = 25

W2 = ( x1 ,x2, x3, x4 ) = ( 25, -7 , 0, 1 )

now lets take x3 = 1  and x4 = 0   hence x2 = 20 , x1 = -75

∴ W1 =  ( x1 , x2 , x3, x4 ) = ( -75, 20, 1 , 0 )

7 0
2 years ago
Help Me, Now! C. At what value of x will each function equal 90? Both functions will equal 90 when x = ​
timama [110]

Answer:

When x=2

Step-by-step explanation:

Well in the first one it tells you that 2x is 90.

In the second it's y=40x+10

So you plug 2 in as the x.

y=40(2)+10

y=80+10

y=90

Hope this helps

7 0
3 years ago
Read 2 more answers
Let x be a real number. Find the lowest possible value of |5x^2 - 16| + |10x - 2|.
BlackZzzverrR [31]

Since the equations are for absolute value this means any negative number used the answer would become positive, so to get the lowest value possible x would need to equal 0, which would eliminate the x variable from the equations.

Replace x with 0 and solve:

|5(0)^2 - 16| + |10(0) - 2|

Simplify:

|0 - 16| + |0 - 2|

|-16| + |-2|

Combine:

|-18|

Absolute Value = 18

4 0
2 years ago
Please answer asap!!
bixtya [17]

Answer:

2.3328

Step-by-step explanation:

4 0
3 years ago
Someone please help‍♀️
andrew11 [14]

Answer:

D. y=-1/5(x)

Step-by-step explanation:

To find the equation of a line, use the formula y=mx+b, where x and y represent your x and y coordinates, m is your slope and b is your y-intercept.

b is you y-intercept, this is where the line cuts the y-axis. We can see from the graph that the line cuts the y-axis at (0,0), so c=0.

Now we have y=mx

Sub in one of our points (10,-2):

-2=m10

m=-1/5

So our equation looks like this:

y=-1/5(x)

3 0
2 years ago
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