Answer:
the vertex is (1,-1)
Step-by-step explanation:
y = −3x^2 + 6x − 4
the vertex is at
h= -b/2a where ax^2 +bx+c
h= -6/2(-3)
h= -6/-6
h=1
substitute this in to find the y value
y = -3(1)^2 +6(1)-4
y = -3+6-4
y = -1
the vertex is (1,-1)
X+y=70
x=2y-5
x=larger number
y=smaller number
now plug in the value of x to only have one variable in the equation...
Way to solve for y:
(2y-5)+y=70
3y-5=70
add 5 on both sides...
3y=75
divide by 3 on both sides
y=25
1st way to solve for x:
now plug in y in the original equation...
x+25=70
subtract 25 on both sides...
x=45
2nd way to solve for x:
plug in y for the second equation...
x=25(2)-5
x=50-5
x=45
answer: the two numbers are 45 and 25.
Answer:
155.25= 12
Step-by-step explanation:
17/2*2*1/2 = 12
17*1/2 = 12
8 1/2 17/1* 1/2
8*2+1 17*1/1*2
2 17*1/1*2
16+1 17/1*2
2 17/2
17 8.5=12
2
After Sally had given 1/9 of her stamps to Andy, she had 280 stamps (since they now have equal shares). So 280 was 8/9 of what she started with, making the 1/9 she handed over equal to 280/8, that’s 35. And Andy was “under” by the same amount she was “over” an equal share, that’s 35 under matching her 35 over, which is 70 altogether.
By all means use algebra but you may find you can reason a word problem through in words.
Answer:
Agree.
Step-by-step explanation:
1. (5^r)^t can be represented simply as 5^rt.
2. when r as negative integer, t as positive integer, rt is always a negative integer
3. when ever the indices rt is negative, the number 5^rt will be less than 1, thus cannot be a whole number for sure.