Answer: the right cost is $1.05 for a bat and 0.5c for a ball.
Step-by-step explanation:
Let's imagine x in the price of bat and y is the price of the ball
From the infor we know that:
x + y= 1.10 (dollars)
and since the bat is $1 more than the ball we can ensure that:
x - 1 = y
Now we can replace y as follow:
x + x - 1 = 1.10
2x - 1 = 1.10
2x = 1.10 + 1
2x = 2.10
x= 2.10/2= 1.05 (dollars)
Answer and Step-by-step explanation:
The step that was wrong is at C: when Jennifer added the 1 into the parentheses, she forgot to subtract 1 from the 7. The reason she needs to do that is because now, if you compare her equation at C with her original, they're not the same:
Original: x^2 + 2x + 7
Step C: x^2 + 2x + 8
So, Jennifer actually needs to subtract 1 from the 7 if she wants to add 1 into the parenthetical expression:
Correct Step C: (x^2 + 2x + 1) + 7 - 1 = (x^2 + 2x + 1) + 6
Now, the correct vertex form is: (x + 1)^2 + 6
Hope this helps!
Answer:
3072ft
Step-by-step explanation:
we have,
h(t)=-16t²+192t+2560
where
h -----> is the height in feet of the rock
t -----> the time in seconds
For t=8 seconds
substitute the value of t in the function and find the value of h
h(8)=-16(8)²+192(8)+2560
=3072ft
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Answer:
2. A = 30°
3. x = 12
Step-by-step explanation:
2.
The angle OPPOSITE of the angle "8x +4" is also same because they are vertical angles (makes a "cross").
The angle beside (adjacent) to the 130 degree angle is 50. Because a straight line is 180 degrees. So 130 ADDED to WHAT will make 180?
130 + WHAT = 180
WHAT = 180 - 13- = 50
Now, we have all the 3 angles of a triangle. We know sum of 3 angles in a triangle is 180, thus we can write:
3x - 6 + 50 + 8x + 4 = 180
Now, we can first, solve for x:

The value of "x" is 12. But we need measure of Angle A which is "3x - 6". So we plug in x = 12 in it.
A = 3x - 6
A = 3(12) - 6
A = 36 - 6
A = 30°
3.
The Square inside the triangle means the angle is a 90 degree angle. The other 2 angles are shown as algebraic expression.
We know sum of 3 angles in a triangle is 180 degrees. Thus we can write an equation in "x" and solve for x. Shown below:

Thus, the value of x is 12