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Dimas [21]
3 years ago
15

Consider the following graph of a quadratic function.

Mathematics
1 answer:
allochka39001 [22]3 years ago
6 0

Answer:( x-4) ^2+3

Step-by-step explanation:Shifted to the right by 4. Shifted upward by 3

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There are 12 triangles and 3 squares. What is the simplest ratio of<br> squares to triangles?
grigory [225]
Squares : Triangles
3 : 12
Divide both sides by 3.
The simplest ratio is

1 : 4
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Abygail is building a dollhouse. She has boards that are two different lengths. One long board is 10 inches longer than the tota
nikitadnepr [17]

Answer:

9 in

Step-by-step explanation:

a short bored is 9 in

37-10=27

27÷3=9

So that means a short bored is 9 in

7 0
2 years ago
Solve the system graphically<br> 1. x-2y=6 and 3x+2y=-6<br><br> 2. x-y=0 and 2x+3y=-5
zysi [14]

Step-by-step explanation:

1)The given equations are:

x − 2y = 6 ...(i)

3x − 6y = 0 ...(ii)

Putting x = 0 in equation (i) we get

=> 0 - 2y = 6

=> y = -3

x = 0, y = -3

Putting y = 0 in equation (i) we get

⇒x-2×0=6

⇒x=6

x = 6, y = 0

Use the following table to draw the graph

x 0 6

y -3 0

Plotting the two points A(0, -3) and B(6,0) equaion (1) can be drawn

Graph of the equation ..(ii)

3x - 6y = 0 ...(ii)

Putting x = 0 in equation (ii) we get

⇒3×0-6y=0

=> y = 0

x = 0, y = 0

Putting x = 2 in equation (2) we get

⇒3×2-6y=0

=> y = 1

x = 2, y = 1

Use the following table to draw the graph.

x 0 2

y 0 1

Draw the graph by plotting the two points O(0,0) and D(2,1) from table

We see that the two lines are parallel, so they won’t intersect

Hence there is no solution

2)

3 0
2 years ago
Harrison and Sherry are making decisions about their bank accounts Harrison wants to deposit $200 as a principal amount with an
AlekseyPX

Answer:

Sherry's Method of depositing $200 as a principal now with an interest at 4% compound at monthly will result in more money after two years.

Step-by-step explanation:

We use the Total Amount generated using compound interest formula to solve this question

Formula =

Total Amount(A) = P(1 + r/n)^nt

a) For Harrison

Principal = $200

Interest rate = 2% = 0.02

Time = 2 years

n = compounding quarterly = 4

A = P(1 + r/n)^nt

A = $2,000(1 + 0.02/4)^2×4

A = $2,000(0.005)^8

A = $ 2081.4140878

A = $ 2,081.41

b) For Sherry

Principal = $200

Interest rate = 4% = 0.04

Time = 2 years

n = compounding monthly = 4

A = P(1 + r/n)^nt

A = $2,000(1 + 0.04/12)^2×12

A = $2166.2859184

A = $ 2,166.29

The Total Amount for

Harrison = $ 2,081.41

Sherry = $ 2,166.29

Hence, from the above calculation, Sherry's Method of depositing $200 as a principal now with an interest at 4% compound at monthly will result in more money after two years.

7 0
3 years ago
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