4 + y = 9.5
subtract 4 from both sides :
4 + y - 4 = 9.5 - 4
y = 5.5
Answer:
Yes, they should.
Step-by-step explanation:
If she is using the data from her table to graph her function they should represent the same function.
To find the x and y-intercept, we can write an equation in slope intercept form.
first, we need to find the slope
the formula for slope is
m= (y₂-y₁)/(x₂-x₁)
now just put any two points into the equation
m=(10-5)/(-9-(-15)
m=5/6
so now we can write the slope-intercept equation
y=5/6x + b
in a slope-intercept equation, b is equal to the y-intercept, so we can take one of our 3 pairs of points and put them into the equation to solve for b
15= 5/6(-3) +b
15=-2.5 + b
17.5 = b
so now we know the y-intercept is (0,17.5)
now we can write the equation as
y= 5/6x + 17.5
since the x intercept is when y=0, we can set y to 0 and then solve for x
0= 5/6x +17.5
-17.5 = 5/6x
-21 = x
by setting y to zero, we figured out that the x-intercept is (-21,0)
hope this helped!
There is a very simple way of dealing with percentages.
"increase" means add
"decrease/discount/reduce" means subtract
Now, we know that the original price is 100%.
100% = 1 (like 50% = 0.5)
So if an object's price is x and it is 20% off, we get:
100%x - 20%x
Taking x common,
x(100% - 20%)
= 0.8x
Therefore, if we fist add/subtract the percentages we can multiply directly with the original to get the answer. This is as follows:
5] Increase 101 by 16%
1 + 0.16 = 1.16
So the answer is:
101 * 1.16
= 117.16
6] Decrease 36 by 21%
1 - 0.21 = 0.79
The answer is:
36 * 0.79
= 28.44
7] Let original price be x, we know it is 35% off
1 - 0.35
= 0.65
0.65x = 13
x = 20
His answer should be a square because a square is a parallelogram with four similar sides and four right angles. A quadrilateral is a square<span> if its a rhombus and/or rectangle.</span>
