MATHEMATICS HIGH SCHOOL

Which of the following options is a better purchase for a microwave? Option 1: A cash sale for $120 Option 2: $5 down with equal payments of $10 for 15 weeks Option 3: $10 down with equal payments of $5 for 24 months Option 4: $0 down with equal payments of $15 for 9 months A. Option 4 B. Option 3 C. Option 2 D. Option 1

Answers

Answer 1

Answer:

Answer:

D. Option 1

Step-by-step explanation:

Let's evaluate each option separately:

Option 1 will cost $120.

Option 2:

Total cost = Down payment + Weekly payment

= $5+10*15$

= $155$

Therefore, option 2 will cost $155 which is worse compared to option 1.

Option 3:

Total cost = Down payment + Monthly payment

= $10+5*24$

= $130$

Therefore, option 3 will cost $130 which is worse compared to option 1.

Option 4:

Total cost = Down payment + Monthly payment

= $0+15*9$

= $135$

Therefore, option 4 will cost $135 which is worse compared to option 1.

So the best option is option 1.

So answer is D. Option 1

Answer 2

Answer: The first option is a better choice heres why...
option 1) is $120
option 2) is $155
option 3 is $130
option 4) is 135
SO all and all the first payment method is the cheapest option.

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Which type of interest rate reflects the effects of compounding?

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Answers

7.7, 0.77, 0.7, 0.077

In the last 2 weeks, a plant grew 1/16 in. and 3/16 in. respectively.How much did the plant grow in the last 2 weeks?

Express your answer in lowest terms.

in.

Answers

Answer: $(1)/(4)\ in.$

Step-by-step explanation:

Given: In the last 2 weeks, a plant grew $(1)/(16)\ in.$ and $(3)/(16)\ in.$ respectively.

To find the total plant growth in the last 2 weeks, we need to add the growth registered in each week.

Thus, the total growth = $(1)/(16)+(3)/(16)=(4)/(16)=(1)/(4)\ in.$

Hence, the plant grow $(1)/(4)\ in.$ in the last 2 weeks.

1/16 + 3/16=4/16 = 2/8 = 1/4 = The total amount of growth in the last two weeks.

Write an expression for the shaded area

Answers

Answer:

4x(x+2) - x(3x+5)

Step-by-step explanation:

the area of the whole box is 4x(x+2)

to find the area of the shaded portion you have to subtract the area of the tiny box from the big box

the area of the tiny box is x(3x+5)

so, 4x(x+2) - x(3x+5) is the expression you can use to find the area of the shaded portion

Which equation has exactly one solution?A. 4 $x^(2)$ - 12x - 9 = 0
B. 4 $x^(2)$ + 12x + 9 = 0
C. 4 $x^(2)$ - 6x - 9 = 0
C. 4 $x^(2)$ + 6x + 9 = 0

(Please show how you get the answer)

Answers

The equation 4x² + 12x + 9 = 0 has exactly one solution. The correct answer would be an option (C).

What is a quadratic function?

The quadratic function is defined as a function containing the highest power of a variable is two.

The solutions to a quadratic equation are found using the quadratic formula, which is:

x = (-b ± √(b² - 4ac)) / 2a

As per option (C),

4x² + 12x + 9 = 0

Compare the given function to the standard quadratic function f(x) = ax² + b x + c.

We get a = 4, b = 12, and c = 9.

The discriminant of the equation,

b² - 4ac = (12)² - 4×4(9) = 144 - 144 = 0

Since the discriminant is zero, this means the equation has only one solution.

Therefore, the equation 4x² + 12x + 9 = 0 has exactly one solution.

Hence, the correct answer would be option (C).

Learn more about the quadratic function here:

brainly.com/question/14083225

#SPJ2

I would answer this by using the quadratic formula to figure out which equation only has one solution.
quadratic formula: (-b(+or-)√(b^2-(4ac)))/2a.
You find that the equation 4x²+12x+9=0 only has the root of x=-1.5.

Since the solution is where the parabola crosses the x-axis, you can also figure out which equation has only one solution by whether or not the axis of symmetry lands is a solution or not. If the axis of symmetry is a solution, the function only has one solution (that being the vertex). If the axis of symmetry is not a solution, the function has to have either two or no roots. You can find the axis of symmetry by using the equation x=-b/2a. Using that equation you can find that the equation 4x²+12x+9 has the axis of symmetry being at x=-1.5 which means that the vertex is (-1.5,0). Since the equation 4x²+12x+9 has its vertex at (-1.5,0) and the vertex is the lowest or highest point of the function, that function only has one x-intercept meaning it only has 1 solution.

I hope this helps. Let me know in the comments if anything is unclear.

A baker is calculating the charge for two types of cookies. What formula tells the cost, in dollars, if chocolate chip cookies are $1.50/dozen and lemon frosteds are $2.50/dozen? Let c = number of dozens of chocolate chip cookies; L= number of dozens of lemon frosteds; T= total charge