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Alexeev081 [22]

3 years ago

7

What is the vertex of the graph of the function f(x) = 2(x − 2)2 + 3? Enter your answer in the boxes.

1 answer:

Pani-rosa [81]3 years ago

3 0

Answer:

The vertex of the function is at (2,3).

Step-by-step explanation:

I graphed the equation on the graph below.

If this answer is correct, please make me Brainliest!

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Determine whether statement (3) follows from statements (1)

larisa [96]

Answer: Law of Detachment

Step-by-step explanation:

1) If you swim (p), you must use earplugs (q)

2) Roy swims (p)

3) Roy must use earbuds (q)

4 0

3 years ago

How do you do this? Please help

PtichkaEL [24]

Answer:

$PO=86.2\\ OM=23.8\\$

Step-by-step explanation:

To preface, your figure is going to be a line segment, with $O$ as your midpoint, in between points $P$ & $M.$

With that being said:

$PO+OM=PM$

Identify your values:

$PO=7y+12\\OM=3y-8\\PM=110$

Substitute the values into the first equation:

$7y+12+3y-8=110$

Combine like terms:

$10y+4=110$

Subtract $4$ from both sides of the equation:

$10y=106$

Divide by the coefficient of $y$ , which is $10$ :

$y=10.6$

Substitute $10.6$ for $y$ in segments $PO$ & $OM$ :

$PO=7(10.6)+12$

$OM=3(10.6)-8$

$PO=74.2+12$

$OM=31.8-8$

Solve:

$PO=86.2$

$OM=23.8$

Check your answers by substituting:

$PO+OM=PM$

$86.2+23.8=110$

8 0

3 years ago

Which equation has the solutions x=1+/- 5?

nikitadnepr [17]

Answer:

$x^{2} -2x-4=0$

Solving Steps

Use the quadratic formula

$x=\frac{-(-2)(+/-)\sqrt{(-2)^2-4*1*(-4)} }{2*1}$

Multiply / Remove the parentheses / Evaluate

$x=\frac{2(+/-)\sqrt{4+16} }{2}$

Calculate

$x=\frac{2(+/-)\sqrt{20} }{2}$

Separate the solutions

$x=\frac{2(+/-)2\sqrt{5} }{2} \\x=\frac{2-2\sqrt{5} }2}$

Simplify

$x=1+\sqrt{5} \\x=1-\sqrt{5}$

4 0

2 years ago

Which answer is the most reasonable estimation? Lance is organizing his baseball card collection into albums. Each album can hol

RSB [31]

Hello there.

Which answer is the most reasonable estimation? Lance is organizing his baseball card collection into albums. Each album can hold up to 50 cards. He has 202 cards in his collection. About how many albums will Lance need? A. about 5 B. about 10 C. about 50 D. about 150

Answer: A) 5

8 0

3 years ago

Read 2 more answers

The Coopers own two vehicles, a mini-van and sedan. The following functions represent the resale value of both cars, in thousand

velikii [3]

Answer:

$h(x) = 57(0.8)^x$

Step-by-step explanation:

Given

$f(x) = 32(0.8)^x$

$g(x) = 25(0.8)^x$

Required

A function that represents the total resale value of the two vehicles

To do this, we simply add up the functions

$h(x) = f(x) + g(x)$

$h(x) = 32(0.8)^x + 25(0.8)^x$

Factorize

$h(x) = (32 + 25)(0.8)^x$

$h(x) = 57(0.8)^x$

6 0

2 years ago