Answer:
6
Step-by-step explanation:
I like to line up my addition problems vertically
2 1/5
+ 3 4/5
--------------
5 5/5
but 5/5 = 1
5 + 1
6
8*100=20*x
800 =20x
40 =x
40 items are in the basket
You could rewrite

as

and be tempted to cancel out the factors of

. But this cancellation is only valid when

.
When

, you end up with the indeterminate form

, which is why

is not a zero.
Answer:
v = 7
is the value for which
x = (-21 - √301)/10
is a solution to the quadratic equation
5x² + 21x + v = 0
Step-by-step explanation:
Given that
x = (-21 - √301)/10 .....................(1)
is a root of the quadratic equation
5x² + 21x + v = 0 ........................(2)
We want to find the value of v foe which the equation is true.
Consider the quadratic formula
x = [-b ± √(b² - 4av)]/2a ..................(3)
Comparing (3) with (2), notice that
b = 21
2a = 10
=> a = 10/2 = 5
and
b² - 4av = 301
=> 21² - 4(5)v = 301
-20v = 301 - 441
-20v = -140
v = -140/(-20)
v = 7
That is a = 5, b = 21, and v = 7
The equation is then
5x² + 21x + 7 = 0
You can take two of the x and y on the table to find the slope:
y2 - y1 / x2 - x1
Lets use (3, 12) and (4, 15)
15 - 12 / 4 - 3
3/1
The slope is 3
Now you can use the point-slope formula to find the equation: y - y1 = m(x - x1)
y - 9 = 3(x - 2)
y - 9 = 3x -6
y = 3x + 3
So you are correct with choice B.
Hope this helped! Mark as Brainliest Please! :)))