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3 years ago

Which graph is a function, and explain how you knew whether each graph was a function or not.

Mathematics

1 answer:

romanna [79]3 years ago

7 0

C is a function. You can tell easily by doing the vertical line test. Put your finger pen pencil, etc. up to the graph vertically and see if at any point it touches more than one point at once. If it doesn't, it's a function.

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Simplify 8 + 3{x - 2[x + 5(x + 3)]}.<br><br> -33x + 82<br> 33x - 82<br> -33x - 82

77julia77 [94]

Answer:

Step-by-step explanation:

Use

PEMDAS:

P Parentheses first

E Exponents (ie Powers and Square Roots, etc.)

MD Multiplication and Division (left-to-right)

AS Addition and Subtraction (left-to-right)

and the distributive property a(b + c) = ab + ac.

$1)\qquad5(x+3)=5x+15\\\\2)\qquad x+5(x+3)=x+5x+15=6x+15\\\\3)\qquad2[x+5(x+3)]=2(6x+15)=12x+30\\\\4)\qquad x-2[x+5(x+3)]=x-(12x+30)=x-12x-30=-11x-30\\\\5)\qquad3\{x-2[x+5(x+3)]\}=3(-11x-30)=-33x-90\\\\6)\qquad8+3\{x-2[x+5(x+3)]\}=8+(-33x-90)=-33x-82$

5 0

3 years ago

A college-entrance exam is designed so that scores are normally distributed with a mean of 500 and a standard deviation of 100.

Crank

Answer: 1.25

Step-by-step explanation:

Given: A college-entrance exam is designed so that scores are normally distributed with a mean $(\mu)$ = 500 and a standard deviation $(\sigma)$ = 100.

A z-score measures how many standard deviations a given measurement deviates from the mean.

Let Y be a random variable that denotes the scores in the exam.

Formula for z-score = $\dfrac{Y-\mu}{\sigma}$

Z-score = $\dfrac{625-500}{100}$

⇒ Z-score = $\dfrac{125}{100}$

⇒Z-score =1.25

Therefore , the required z-score = 1.25

6 0

3 years ago

A new app was download 175 times in the first week. Since then the number of downloads has increased continuously by 16.5% each

julia-pushkina [17]

Answer:

Step-by-step explanation:

8 0

3 years ago

HELPPP PLEACECECECECEC

WITCHER [35]

Answer:

60 degrees

Step-by-step explanation:

5 0

3 years ago

Pls answer asap!!ty!!<br> Please label the missing angles below.

marusya05 [52]

Answer:

Triangle A: 38 degrees

Triangle B: Unknown (not enough information)

Triangle C: Unknown (not enough information)

Triangle D: 70 degrees

Triangle E: 40 degrees

Step-by-step explanation:

Work for Triangle A: 90 + 52 = 142. 180 - 142 = 38.

Work for Triangle B: Unidentifiable because there is no indicator to tell you if any of the angles/lines are equal. Generally there will be a "double lined" indicator in the corners of which a triangles angles are equal.

Work for Triangle C: Same as B.

Work for Triangle D: 90 + 20 = 110. 180 - 110 = 70.

Work for Triangle E: 90 + 50 = 140. 180 - 140 = 40.

7 0

3 years ago