Answer:
3
Step-by-step explanation:
Simply follow the translation rule by adding 5 to the x value and subtracting 4 from the y value
The question is essentially asking us to find the y value after the translation
If 7 was the pre image y value and the rule for y value = is -4 then the new y value = 7 - 4 = 3
Answer: 50w+150>650
w>10
Step-by-step explanation: Subtract 150 on both sides, leaving 50w>500. Divide both sides by 50 to get w>10
Let the number of seats of the smaller van be "x". Since it travels two times in the morning, it will be 2x. The bigger van has 14 more seats than the small one, so it will be x + 14. To find the value of x, the formula would be,
65 = 2x + x + 14
65 = 3x + 14
65 - 14 = 3x
51 = 3x
51/3 = x
17 = x
The value of x is 17.
Van A = 17 seats + 14 seats = 31 seats
Van B = 2 (17 seats) = 34 seats
Van A has 31 seats for 31 people for a single trip.
Van B has 17 seats, and since it has two trips, it can transport 34 people.
Answer:
Step-by-step explanation:
2x^2+8x-12=0
with form
ax^2+bx+c=0
move c to the other side
2x^2+8x=12
x^2 is multiplied -> divide equation by 2
x^2+4x=6
complete square:
divide b=4 by 2
4*1/2=2
square 2
2^2=4
add 4 to both sides
x^2+4x=6
x^2+4x+4=6+4
x^2+4x+4=10
transform to polynom
(x+2)^2=10
this left side is option B multiplied by a factor of 16 and therefore equal:
(4x + 8)^2
(4*4)x^2+(4*2*8)x+8*8
16x^2+64x+64
x^2+4+4
bonus: calculate root
x+2=+/-sqrt(10)
x=-2+/-sqrt(10)
<h2 /><h2>so it is option B</h2>
- <em>2x^2 + 8x - 12 = 0..divide by 2</em>
- <em>x^2 + 4x - 6 = 0</em>
- <em>x^2 + 4x = 6...add 4 to both sides of the equation</em>
- <em>x^2 + 4x + 4 = 6 + 4</em>
- <em>(x + 2)^2 = 10....<== ur constant is 10</em>
- <em>x + 2 = (+-)sqrt 10</em>
- <em>x = -2 (+ - ) sqrt 10</em>
- <em></em>
- <em>x = -2 + sqrt 10</em>
- <em>x = -2 - sqrt 10</em>
- <em></em>
- <em></em>
- <em></em>
Answer:
A=12 B=11 C=14
Step-by-step explanation:
12(a)+11(b)=23
12(a)+14(c)=26
11(b)+14(c)=25
