Answer:
D
Step-by-step explanation:
2 x 1/4 is 1/2
2 x 2 is 4
4 + 1/2 is 4 1/2
Answer:
y=2x+13
Step-by-step explanation:
Gradient of parallel lines are equal and in the equation,y=2x-5, 2 represents the gradient.
Therefore the gradient of the other line will also be 2.
Introduce another point (x,y) and then equate using the gradient as follows:
y-1/x--6=2
y-1/x+6=2
Cross multiplication;
(y-1)=2(x+6)
y-1=2x+12
y=2x+12+1
y=2x+13
<em>Answer:</em>
n²+3
<em>Explanation:</em>
The differences between the terms are not the same, so this is not "linear". Knowing that the sequence may have started with a 1, you can try subtracting the first number with a number to get 1, and use that number to subtract the rest.
4 - 3 = 1
7 - 3 = 4
12 - 3 = 9
19 - 3 = 16
28 - 3 = 25
In this case, subtracting 3 to all the numbers gave us perfect squares! So this means the nth term has to do with squaring the number and adding three afterward! This can be checked.
√1 = 1
√4 = 2
√9 = 3
√16 = 4
√25 = 5
As we found the values of these terms by subtracting three first and then finding its square root, the nth term will be the opposite; squaring and then adding three! Again, this can be checked!
1² + 3 = 4
2² + 3 = 7
3² + 3 = 12
4² + 3 = 19
5² + 3 = 28
Hope this helps !! :D
Answer:
$246
Step-by-step explanation:
The price of the product is $390, after 6 months the price is marked down by 10% which is $39 so the total will be $351. After another 6 months the price is marked down again by 30%, which is $105 and 3 cents ($105.3). For a total of $245 and 7 cents ($245.7). To round the number you only need to look at the number after the decimal which is 7 in this case. Any number bellow 5 counting 5 in it, will stay the same number, any number above 5 without counting 5 will be the next number. So $245.7 rounded to the nearest dollar will be $246.
Hope it was helpful ^^ <3
Good Luck
Answer:
The four consecutive odd integers = 15, 17, 19, 21
Step-by-step explanation:
Four consecutive odd integers in Mathematics when x is an integer is given as:
x , x + 2 , x + 4, x + 6
Where:.
First integer = x
Second integer = x + 2
Third integer = x + 4
Fourth integer = x + 6
The sum of the first and fourth is 55 greater than the opposite of the third
Hence :
x + x + 6 = -(x + 4) + 55
x + x+6 = (-x - 4) + 55
2x + 6 = -x + 51
Collect like terms
2x + x = 51 - 6
3x = 45
x = 15
Therefore,
First integer = x = 15
Second integer = x + 2 = 15 + 2 = 17
Third integer = x + 4 = 15 + 4 = 19
Fourth integer = x + 6 = 15 + 6 = 21
The four consecutive odd integers = 15, 17, 19, 21
