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BartSMP [9]
3 years ago
7

For the function y=-2x^2+4x+1, what are the coordinates of the vertex? Is it a maximum or minimum point? Hint: use the vertex/ax

is of symmetry formula for x. Show all work algebraically to earn full credit and use Desmos only to check your answer
Mathematics
1 answer:
masya89 [10]3 years ago
8 0

Step-by-step explanation:

y = -2x² + 4x + 1

Complete the square.

y = -2 (x² − 2x) + 1

y = -2 (x² − 2x + 1) + 1 − (-2)(1)

y = -2 (x − 1)² + 3

The vertex is (1, 3).  The leading coefficient is negative, so the vertex is a maximum.

Graph: desmos.com/calculator/qsih3rd8ev

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Find the area of the figure
weqwewe [10]

Answer:

31 mm

Step-by-step explanation:

5mm + 2mm + 8mm + 16mm

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3 years ago
what interest rate is needed to turn $2500 into $15,000 in 14 years if interest is compounded weekly?
Anastasy [175]

Answer:

0.6845% per week.

Step-by-step explanation:

Simple Interest Calculation A = P(1 + rt)

Solving our equation:

r = (1/730.5)((15000/2500) - 1) = 0.00684463

r = 0.00684463

Converting r decimal to R a percentage

R = 0.00684463 * 100 = 0.6845%/week

Calculating the annual rate

0.6845%/week × 52 weeks/year = 35.594%/year.

The interest rate required to get a total amount, principal plus interest, of $15,000.00 from simple interest on a principal of $2,500.00 over 14.05 years (730.5 weeks) is 0.6845% per week.

7 0
3 years ago
Reggie is playing a game. If he gets a total of 45 points, he will have a new high score. He currently has -15 points. What is t
barxatty [35]

Answer:

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Step-by-step explanation:

7 0
3 years ago
Which of the following numbers is between -3/4 and 5/8?<br> a.-1<br> b.-1/2<br> c.7/8<br> d.0.9
grin007 [14]
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7 0
3 years ago
Read 2 more answers
Could someone please help me with this? Solution set of lx^2+mx+n=0 is...?
IgorLugansk [536]

Answer:

Simplifying

lx2 + mx + n = 0

Solving

lx2 + mx + n = 0

Solving for variable 'l'.

Move all terms containing l to the left, all other terms to the right.

Add '-1mx' to each side of the equation.

lx2 + mx + -1mx + n = 0 + -1mx

Combine like terms: mx + -1mx = 0

lx2 + 0 + n = 0 + -1mx

lx2 + n = 0 + -1mx

Remove the zero:

lx2 + n = -1mx

Add '-1n' to each side of the equation.

lx2 + n + -1n = -1mx + -1n

Combine like terms: n + -1n = 0

lx2 + 0 = -1mx + -1n

lx2 = -1mx + -1n

Divide each side by 'x2'.

l = -1mx-1 + -1nx-2

Simplifying

l = -1mx-1 + -1nx-2

Step-by-step explanation:

Hope this helped you!

6 0
3 years ago
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