Answer:
Sarita’s solution is correct. She made an error in her verification. Sarita was supposed to add the 5 and 7 in the first step.
Step-by-step explanation:
Given the following equation:
The steps to solve it are:
5(x-3)+7(x+4)-73
1. Apply the Distributive property:
5x-15+7x+28=73
2. Add the like terms:
12x+13=73
3. Subtract5 13 from both sides of the equation:
12x+13-(13)=73-(13
12x=60
4. Divide both sides of the equation by 12:
12r/12 = 60/12
x = 5
To verify it, let's substitute into the equation:
5(5-3)+7(5+4)=73
Evaluating, we get:
5(2)+7(9)=73
10+63=73
73=73
Based on this, we can determine that Sarita's solution is correct, but she made an error in her verification (Observe that 5-3 is not equal to -2 )
Answer:
0.25feet
Step-by-step explanation:
The equation is not well written. Let the equation of the height be modelled as;
h = -16d²+8d+4
The velocity of the ball is zero at its maximum height.
Velocity = change in displacement/time
v = dh/dd
Differentiate
v = -32d+8
Since dh/dd = v = 0
0 = -32d+8
Add 32d to both sides
0+32d = 8
32d = 8
Divide both sides by 32
32d/32 = 8/32
d = 1/4
d = 0.25feet
Hence the maximum height of the tennis ball is 0.25feet
Note that the modeled equation was assumed. You can apply the same calculation to any equation given
Answer:
85 degrees Fahrenheit
Step-by-step explanation:
Answer:
d
Step-by-step explanation:
ddddddddddddddddddddddddddfffffdff
Answer:
• 2/3|2 -x| = 1/15
• |2 -x| = 1/10
• 1/5 +|4/3 -2/3x| = 4/15
Step-by-step explanation:
Starting with the given equation, subtract 1/5 = 3/15.
(2/3)|2 -x| = 4/15 - 3/15
(2/3)|2 -x| = 1/15 . . . . . . . . matches the first choice
Now, multiply by 3/2.
|2 -x| = 3/30
|2 -x| = 1/10 . . . . . . . . . . . . matches the third choice
___
If you decide to distribute the coefficient 2/3 instead, you have
1/5 + |2·2/3 -x·2/3| = 4/15
1/5 + |4/3 -2/3x| = 4/15 . . . . matches the selected choice
