Answer:
1) A
2) min; min; max; max
3) y = x² + 5x - 3
Step-by-step explanation:
f(x) = x² + 2(x)(5) + 5² - 5² + 24
f(x) = (x + 5)² - 25 + 24
f(x) = (x + 5)² - 1
In ax² + bx + c,
if a > 0, it's a min
if a < 0, it's a max
y = ax² + bx + c
Using (0,-3)
-3 = a(0)² + b(0) + c
c = -3
y = ax² + bx - 3
Using (1,3)
3 = a + b - 3
a + b = 6
Using (-1,-7)
-7 = a(-1)² + b(-1) - 3
-7 + 3 = a - b
a - b = -4
b = a + 4
a + (a + 4) = 6
2a = 2
a = 1
b = 5
y = x² + 5x - 3
The number of students who do not like puzzles and ride the bus to school is 205
To find the answer it is necessary to do the following procedure:
To find out how many people the 2/5 traveling by bus are equivalent to, divide the total number (2000) of people by 5, and then multiply that value by 2.
- 2000 ÷ 5 = 400
- 400 × 2 = 800
From the above, it can be established that 800 people travel by bus to school. Now, to know how many people travel by bus and do not like puzzles, the following operation must be done.
Subtract the number of students who do like puzzles and ride the bus (595) from the total number of students who ride the bus (800)
So the answer is 205 students ride the bus and they don't like puzzles.
Learn more at: brainly.com/question/24558946
a) To find the missing side length on triangle A, we can use the Pythagorean theorem.
a^2 + 12^2 = 13^2
a^2 + 144 = 169
a^2 = 25
a = 5 cm
5 and 12 = 5 and 12
b) The two triangles are congruent because they have two side lengths in common. If at least two side lengths are the same on two triangles, then they are congruent. In addition, these triangles have one angle in common as well.
Hope this helps!! :)
Answer:
x = 2
Step-by-step explanation:
10x + 1 = 2(3x + 5) - 1
- mutlipy the 2 to the 3x and the 5
- you should get 10x + 1 = 6x + 10 - 1
- now you have to add the combine terms
- so it will now be 10x + 1 = 6x + 9
- now you.have to get the x's on one side and the constants (numbers alone) on the other side
- so you can subtract the 6x on both sides
- once you do that you wil get 4x + 1 = 9
- After you get this equation you will have to subtract the one from both sides.
- you will get 4x = 8
- All you have to do it divide 4 on both sides. Your final answer is x = 2.
