Answer
A) one and three fourths
Step by step explanation
y = x^2 - x + 2
Here we have to use the formula.
The x coordinate of the vertex = -b/2a
Compare the given equation y = x^2 - x + 2 with the general form y = ax^2 + bx + c and identify the value of "a" and "b"
Here a = 1 and b = -1
Vertex of x coordinate = -b/2a, now plug in the value of a and b, we get
x = - (-1)/2(1)
x = 1/2
Now we have to find the y-coordinate of vertex.
Now plug in x = 1/2 in the given equation, we get
y = (1/2)^2 - 1/2 + 2
y = 1/4 - 1/2 + 2
y = 1 3/4
That is one and three fourths.
The answer is A) one and three fourths.
Thank you.
Answer:
16 pounds.
Step-by-step explanation:
As you said, objects weigh 6 times more than what they weigh on the moon. Therefore, the robot originally weighing 96 pounds will be reduced to 16 pounds.
16*6=96. (Original Weight)
96/6=16. (Weight after being on the moon.)
The answers are 3/8 and 1/6.
There are 8 possible outcomes in the sample space for flipping 3 coins. Of those, 3 include two heads and 1 tail. This makes the probability 3/8.
Choosing a quarter for the first coin is 3/10, since there are 3 quarters out of 10 coins. After this, choosing a dime is given by 5/9, since there are 5 dimes out of 9 coins left:
3/10(5/9) = 15/90 = 1/6
Answer:
2
Step-by-step explanation:
Take any 2 points on the graph,
(50, 10) & (90, 90)
Use the slope formula:
= (90-10)/(90-50)
= (80)/(40)
= 2
Hence, the slope is 2.
<em>Feel free to mark this as brainliest! :D</em>
Answer:
1. 2(3x−2)(2x−3)
2. 3(3x+1)(2x+5)
3. 2(4x+1)(2x−5)
4. 4(2x+1)(2x+7)
5. 5(3x+1)(2x−5)
6. 3(3x−7)(2x+1)
7. 3(5x+3)(3x−2)
8. 2(7x−2)(2x−5)
9. 2(7x−3)(2x−3)
10. 4(5x−11)(2x+1)
11. 5(x−2)(x+12)
12. (x−1)(x−8)
15. x=1 or x=4
Step-by-step explanation:
1. Factor 12x2−26x+12
12x2−26x+12
=2(3x−2)(2x−3)
2. 3(3x+1)(2x+5)
3. Factor 16x2−36x−10
16x2−36x−10
=2(4x+1)(2x−5)
4. Factor 16x2+64x+28
16x2+64x+28
=4(2x+1)(2x+7)
5. Factor 30x2−65x−25
30x2−65x−25
=5(3x+1)(2x−5)
6. Factor 18x2−33x−21
18x2−33x−21
=3(3x−7)(2x+1)
7. Factor 45x2−3x−18
45x2−3x−18
=3(5x+3)(3x−2)
8. Factor 28x2−78x+20
28x2−78x+20
=2(7x−2)(2x−5)
9. Factor 28x2−54x+18
28x2−54x+18
=2(7x−3)(2x−3)
10. Factor 40x2−68x−44
40x2−68x−44
=4(5x−11)(2x+1)
11. Factor 5x2+50x−120
5x2+50x−120
=5(x−2)(x+12)
12. Let's factor x2−9x+8
x2−9x+8
The middle number is -9 and the last number is 8.
Factoring means we want something like
(x+_)(x+_)
Which numbers go in the blanks?
We need two numbers that...
Add together to get -9
Multiply together to get 8
Can you think of the two numbers?
Try -1 and -8:
-1+-8 = -9
-1*-8 = 8
Fill in the blanks in
(x+_)(x+_)
with -1 and -8 to get...
(x-1)(x-8)
15. Let's solve your equation step-by-step.
(x−2)(x−3)=2
Step 1: Simplify both sides of the equation.
x2−5x+6=2
Step 2: Subtract 2 from both sides.
x2−5x+6−2=2−2
x2−5x+4=0
Step 3: Factor left side of equation.
(x−1)(x−4)=0
Step 4: Set factors equal to 0.
x−1=0 or x−4=0
x=1 or x=4
Sorry I wasn't able to do 13 and 14 but hope this helps! :)
