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bearhunter [10]
2 years ago
12

Explain how you can write a quadratic function in a factored form that would have a vertex with an x-coordinate of 3 and two dis

tant roots
Mathematics
1 answer:
Elena-2011 [213]2 years ago
3 0

Answer:

Step-by-step explanation:

(x-3)²-4=0

(x-3)²=4=2²

x-3=±2

x=3±2

x=3-2,3+2

x=1,5

it has two distinct roots and a vertex at x=3

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Michael just became a personal trainer and is finalizing his pricing plans. One plan is to charge $36 for the initial consultati
nexus9112 [7]

The cost will be same for one session. The cost will be $128.

Step-by-step explanation:

Given,

Initial consultation charges for Plan One = $36

Per session fee = $92

Let,

x be the number of sessions.

O(x) = 92x+36

Initial consultation charges for Plan Two = $86

Per session fee = $42

T(x) = 42x+86

For same cost;

O(x) = T(x)

92x+36=42x+86\\92x-42x=86-36\\50x=50

Dividing both sides by 50

\frac{50x}{50}=\frac{50}{50}\\x=1

Putting x=1 in T(x)

T(1)=42(1)+86\\T(1)=42+86\\T(1)=128\\

Putting x=1 in O(x)

O(x) = 92(1)+36\\O(x) = 92+36\\O(x) = 128

The cost will be same for one session. The cost will be $128.

Keywords: function, division

Learn more about functions at:

  • brainly.com/question/3614284
  • brainly.com/question/3783529

#LearnwithBrainly

5 0
3 years ago
Greatest common factor of 18,36 and 45
satela [25.4K]

Answer:

9

Step-by-step explanation:

List out the factors of the three numbers.

18: 1, 2, 3, 6, 9, 18

36: 1, 2, 3, 4, 6, 9, 12, 18, 36

45: 1, 3, 5, 9, 15, 45

The largest number that all three of these lists share is 9, so 9 is the GCF.

Please mark as Brainliest! :)

7 0
3 years ago
Read 2 more answers
Simplify the expression 3 (5x)
Dovator [93]

Answer:

15x

Step-by-step explanation:

i just know (100% positive)

3 0
3 years ago
Read 2 more answers
Osvoldo has a goal of getting at least 30% of his grams of carbohydrates each day from whole grains. Today, he ate 220 grams of
pochemuha

Answer:

Answer: Osvoldo did not meet his goal.

Step-by-step explanation:

Total carbohydrate ate by Osvoldo = 220 g

carbohydrate from grains = 55 g

Percentage of carbohydrate of grain is

\begin{gathered}=\dfrac{\text { carbohydrate taken from grains}}{\text {Total carbohydrate}} \times 100\\\\= \dfrac{55}{220} \times 100= 25 \%\end{gathered}

=

Total carbohydrate

carbohydrate taken from grains

×100

=

220

55

×100=25%

Goal of getting carbohydrate from grains = at least 30%

but he ate only 25% of carbohydrate

Hence, Osvoldo did not meet his goal as he ate less carbohydrate than his goal.

8 0
3 years ago
20 POINTS<br> HELP ME PLEASE<br> How many solutions does the system have
finlep [7]

Answer:

Two

Step-by-step explanation:

x² + 4 = 4x + 1

x² - 4x + 3 = 0

x² - 3x - x + 3 = 0

x(x - 3) - (x - 3) = 0

(x - 3)(x - 1) = 0

x = 1, 3

y = 4(1) + 1 = 5

y = 4(3) + 1 = 13

Two solutions: (1,5) (3,13)

3 0
3 years ago
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