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Ivanshal [37]
3 years ago
5

The problems in this lesson review basic arithmetic skills.

Mathematics
1 answer:
gladu [14]3 years ago
3 0

Answer:

false

Step-by-step explanation:

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F(x) = | 3x+1 | find the vertex of value function
PilotLPTM [1.2K]

Answer:

The vertex is the point (-\frac{1}{3},0)

Step-by-step explanation:

we know that

The general form of an absolute value equation is

y=a\left|x-h\right|+k

The variable a tells us how far the graph stretches vertically, and whether the graph opens up or down. The variables  h, and k, tell us how far the graph shifts horizontally and vertically

The vertex is the point (h,k)

we have

f(x)=\left|3x+1\right|

Rewrite the expression (3x+1)

(3x+1)=\frac{3}{3} (3x+1)=3(x+\frac{1}{3})

substitute

f(x)=\left|3(x+\frac{1}{3})\right|

f(x)=3\left|(x+\frac{1}{3})\right|

a=3\\h=-\frac{1}{3}\\k=0

therefore

The vertex is the point (-\frac{1}{3},0)

see the attached figure to better understand the problem

4 0
3 years ago
Y varies directly as the square of x. If y is 25 when x is 3 find y when x is 2
Vilka [71]

Answer:

y = \frac{100}{9}

Step-by-step explanation:

given y varies as the square of x then the equation relating them is

y = kx² ← k is the constant of variation

to find k use the given condition y = 25 when x = 3

k = \frac{y}{x^{2} } = \frac{25}{9}

⇒ y = \frac{25}{9} x²

when x = 2

y = \frac{25}{9} × 4 = \frac{100}{9}



8 0
3 years ago
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Can smart people answer.??????? Corinna is taking a test in which short-answer questions are worth 10 points each and essay questions are worth 15 points each. She estimates that it takes 3 min to answer each short- answer question and 6 min to answer each essay question. The total time allowed is 60 min, and no more than 16 questions can be answered. Assuming that all her answers are correct, how many questions of each type should Corinna answer in order to get the best score?
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Ray created the list of factors for 48 below.
nasty-shy [4]
The number 7 should be removed from his list to make the list accurate.
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Nine less than a number z
Vsevolod [243]
So your number is z and you want 9 less z-9 
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