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3 years ago

Which of the following functions is graphed below?

Mathematics

2 answers:

velikii [3]3 years ago

7 0

Answer: The correct option is (D)

$y=\begin{array}{cc}\{ &\begin{array}{cc}x^2-4 & x\leq 1\\x^2+3 & x>1\end{array}\end{array}$

Step-by-step explanation: We are given to select the correct function that is graphed in the figure.

We have,

$\textup{If }y=x^2-4,\textup{ then }y(1)=1^2-4=1-4=-3,\\\\\textup{If }y=x^2+3,\textup{ then }y(1)=1^2+3=1+3=4.$

In the graph, there is closed hole at y = - 3, so y = - 3 (x = 1) is included.

Also, there is an open hole at y = 4, so y = 4 (x = 1) is excluded.

So, If y = x² - 4, then x will be greater than or equal to 1.

If y = x² + 3, then x will be less than 1.

Also,

$\textup{for }x\leq 1,~~y\leq x^2-4,\\\\\textup{for }x> 1,~~y> x^2+3.$

Therefore, the graphed function will be

$y=\begin{array}{cc}\{ &\begin{array}{cc}x^2-4 & x\leq 1\\x^2+3 & x>1\end{array}\end{array}$

Option (D) is the correct function.

ella [17]3 years ago

5 0

Answer:

Hi there!

Step-by-step explanation:

Is there anyway you can do a better picture of it please

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Suppose that in a senior college class of 500500 students, it is found that 179179 smoke, 228228 drink alcoholic beverages, 1

olga2289 [7]

Answer: a) 0.16, b) 0.058, and c) 0.856.

Step-by-step explanation:

Since we have given that

Number of students = 500

Number of students smoke = 179

Number of students drink alcohol = 228

Number of students eat between meals = 119

Number of students eat between meals and drink alcohol = 59

Number of students eat between meals and smoke = 72

Number of students engage in all three = 30

a) Probability that the student smokes but does not drink alcohol is given by

$P(S-A)=P(S)-P(S\cap A)\\\\P(S-A)=\dfrac{179}{500}-\dfrac{99}{500}\\\\P(S-A)=\dfrac{179-99}{500}\\\\P(S-A)=\dfrac{80}{500}\\\\P(S-A)=0.16$

b) eats between meals and drink alcohol but does not smoke.

$P((M\cap A)-S)=P(M\cap A)-P(M\cap S\cap A)\\\\P((M\cap A)-S)=\dfrac{59}{500}-\dfrac{30}{500}\\\\P((M\cap A)-S)=\dfrac{59-30}{500}\\\\P((M\cap A)-S)=\dfrac{29}{500}\\\\P((M\cap A)-S)=0.058$

c) neither smokes nor eats between meals.

$P(S'\cap M')=1-P(S\cup M)\\\\P(S'\cap M')=1-\dfrac{72}{500}\\\\P(S'\cap M')=\dfrac{500-72}{500}\\\\P(S'\cap M')=\dfrac{428}{500}=0.856$

Hence, a) 0.16, b) 0.058, and c) 0.856.

5 0

3 years ago

The school band is selling items to raise $9,500 for a trip. For each item sold, the band's profit is a percent of the sellin

Finger [1]

The goal amount of the student groups are given in percentages, which are fractions based on one hundred.

The flutist raised more money than the trumpeters

The difference in the amounts the student raised is $256.5

Reasons:

The amount the school band is raising for the trip = $9,500

Goal of the flutist = To raise 18% of the total amount

Goal of the trumpeters = 85% of the flutist's goal

Required:

The group that raise more money, given that their goals are met

Solution:

Given that the goal of the trumpeters trumpeters is 85% of the goal of the flutist, the flutist raised more money.

Required:

The difference in the amount raised by the students

Solution:

The amount raised by the flutist = 18% of $9,500 = 0.18 × $9,500 = $1,710

Amount the trumpeters raised = 85% of $1,710 = 0.85 × $1,710 = $1,453.5

The difference in the amount raised = $1,710 - $1,453.5 = $256.5

Learn more about percentages here:

brainly.com/question/1367867

7 0

3 years ago

Answer only if you know and NOT because you want brainliest ( ill report you if you do )

Korvikt [17]

12x6.5x1.25=97.5 cubic centimeters answer B

3 0

2 years ago

Help me please, I beg of you. ;w;

Soloha48 [4]

The solution should be x=-1 y=-2

8 0

3 years ago

X=1 2 3 4 5. y=5 7 9 11 13 what's the rule

larisa86 [58]

x = 1 2 3 4 5

Rule:

x = (n+1)

Where n is the number

y = 5 7 9 11 13

Rule:

y = (n+2)

Where n is the number

Must click thanks and mark brainliest

8 0

3 years ago