Mike and Kate plan to save money for their wedding over a 20 month period. They will need to save $8,000 to help pay for the wedding. They set aside the same amount each month. After a year they saved $4,000. Mike and Kate know they must adjust their plan in order to meet their goal, so they came up with the following options:Option A: Stay with saving the same amount they've been saving each month but postpone the wedding 2 months.
Option B: Increase the amount of money they save each month by $80 from what they've been saving.
Which of the following is a true statement?
a.
Only option A will allow them to meet their goal.
b.
Only option B will allow them to meet their goal.
c.
Both options A and B will allow them to meet their goal.
d.
Neither option A nor option B will allow them to meet their goal.
Please select the best answer from the choices provided
A
B
C
D
Answers
4000/12 = 333
333+80 = 413
413*20= 8260 they have enough
400/12=333
333*22= 7326 not enough
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B. y = -3(x + 3)2 - 6
C. y = -3(x - 3)2 + 6
D. y = -3(x - 3)2 - 6
Answers
Based on the calculations, the equation of this parabola is equal to: A. y = -3(x + 3)² + 6.
How to determine the equation of a parabola?
Mathematically, the standard equation with the vertex for any parabola is given by:
y = a(x - h)² + k.
where:
- h and k are the vertex.
- a is a point.
Substituting the given parameters into the formula, we have;
y = -3(-3 - (-3))² + 6
y = -3(x + 3)² + 6
Read more on parabola here: brainly.com/question/2346582
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A is your answer
(-3,6) must be a point of the curve.
A) if x=-3 then y=-3(-3+3)²+6=6
y'=-3(x+3)=0==>x=-3
and y=6
B) if x=-3 then y=-3(-3+3)²-6=-6 and not 6
C) if x=-3 then y=-3(-3-3)²+6=-3*36+6= -102 and not 6
D) -3(-3-3)²-6=-3*36-6=-114
Answers
Answers
Answer:
Step-by-step explanation:
Answer: No Solution.
Step-by-step explanation:
So remember that you first need to solve for the parenthesizes, as it is the thing you need to do first in the order of operations: PEMDAS (Parenthesis, Exponents, Multiply, Divide, Add, Subtract)
So, what you should do first is distribute the 3 into x - 1 as well as the 2 on the right side into 2x + 3.
7x-3(x-1) = 2(2x+3)
7x - 3x - 3 = 4x + 6
Then what you should do next is combine like terms on the left side, which is 7x & -3x.
So what you would get after combining like terms is:
4x - 3 = 4x + 6
Then what you should do next, is move the 4x from the right side to the left. In order to do that, you must subtract 4x by 4x on the right side, which would cancel it out.
And remember, what you do on one side, you do to the other.
So in the end, you should end up with this:
-3 = 6
Now, due to how there is no more x you are solving for, it would be no solution.
Answers
Answer:The answer is x =4
Step-by-step explanation:
Answers
Answer:
Step-by-step explanation:
What is the correct sequence of steps to solve Mrs. Blake’s equation?
A. Subtract 6h from both sides. Subtract 5 from both sides. Divide each side by –2.
B. Subtract 4h from both sides. Subtract 5 from both sides. Divide each side by 2.
C. Subtract 4h from both sides. Add 5 to both sides. Divide each side by 2.
D. Subtract 4h from both sides. Subtract 5 from both sides. Divide each side by 6.
Answers
Answer:
Option B: Subtract 4h from both sides. Subtract 5 from both sides.Divide each side by 2.
Step-by-step explanation:
So why option B?
When solving equations one of the best method is to bring like terms together to a side (LHS or RHS) of the equation.
What are liked terms? This are numbers or integers with similar structure. From the question the liked terms are 5 and 10, and 6h and 4h.
Going by the workflow described in option B we will see that the end game here was to bring liked terms together.
So lets carry out the workflow step by step:
- Subtract 4h from both sides: 6h + 5 -4h = 4h + 10 -4h => 2h + 5 = 10
- Subtract 5 from both sides: 2h + 5 -5 = 10 -5 => 2h = 5 (Victory!!! we have succeeded in briinging like terms to a side)
- Divide each side by 2: 2h/2 = 5/2 => h = 2.5
So for the Babysitters to charge the same amount they have to have worked for 2.5 hours (that is 2 hours 30 minutes)