The correct answer would be choice
D
There is a 50% chance to roll an even number
D(-1,-1), E(-8,-4), F(-8,-8)
Answer:
Step-by-step explanation:
4d-4=5d-8
add 4 to both sides
4d=5d-4
subtract 5d from both sides
-d=-4
switch so d is positive
d=4
Answer:
<h2>
Q 11. A and E</h2><h2>
Q 12. A</h2><h2>
Q 13. 4/3 cups of sugar</h2>
Step-by-step explanation:
The points (1, 3) and (15, 45) are proportional to point (3, 9) since they correspond with each other so if you multiply the point (1, 3) by a factor of 3, it would be (3, 9). If you divided the point (15, 45) by a factor of 5, it would be (3, 9).
In this equation, 2.95 represents the price of the gallons since it is being multipied by g, or the number of gallons.
If you were to multiply 2/3 cup of sugar and 1/2 cup of flour by 2, I would get 4/3 cups of sugar and 1 cup of flour. Why did I do this? Well, she uses 1 cup of flour so you can divded 1 by 1/2 is which 2.
Hope this helps, you can ask me why certain choices were not correct if you'd like.
Remember (a²-b²)=(a-b)(a+b)
solve for a single variable
solve for y in 2nd
add y to both sides
x²-7=y
sub (x²-7) for y in other equaiton
4x²+(x²-7)²-4(x²-7)-32=0
expand
4x²+x⁴-14x²+49-4x²+28-32=0
x⁴-14x²+45=0
factor
(x²-9)(x²-5)=0
(x-3)(x+3)(x-√5)(x+√5)=0
set each to zero
x-3=0
x=3
x+3=0
x=-3
x-√5=0
x=√5
x+√5=0
x=-√5
sub back to find y
(x²-7)=y
for x=3
9-7=2
(3,2)
for x=-3
9-7=2
(-3,2)
for √5
5-7=-2
(√5,-2)
for -√5
5-7=-2
(-√5,-2)
the intersection points are
(3,2)
(-3,2)
(√5,-2)
(-√5,-2)
