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WINSTONCH [101]
3 years ago
15

Does the data below describe a linear, quadratic, or exponential function?

Mathematics
1 answer:
Savatey [412]3 years ago
5 0

Answer:

Quadratic.

Step-by-step explanation:

Both linear and exponential equations are monotone increasing or monotone decreasing functions.

This means that, as the input increases, the output will only increase or only decrease, but never both.

Here for our data, we can see that first we have:

x = -8

y = 13

Then x increases to x = -6, and y decreases to y = 9

Then x increases to x = -4 and y increases to y = 13

Then this function is not monotone increasing nor monotone decreasing, so the data can not describe a linear nor an exponential function.

Then the correct option is quadratic.

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A major baseball diamond is a square with side lengths of 90 feet.
iren2701 [21]

Answer: \bold{a)\quad 90\sqrt2\qquad \qquad b)\quad 45\sqrt2}

<u>Step-by-step explanation:</u>

Since you are looking for the distance from home plate to second base, you are actually looking for the length of the diagonal of the square.  Use the Pythagorean Theorem: a² + b² = c² where a and b are the side lengths and c is the length of the diagonal.

90^2+90^2=c^2\\8100+8100=c^2\\16200=c^2\\\sqrt{16200}=c\\\boxed{90\sqrt2}=c\qquad \qquad \text{which is approximately 127.28}\\\\\\\\\text{Halfway between home plate and 2nd base means divide that length by 2:}\\\\\dfrac{90\sqrt2}{2}=\boxed{45\sqrt2}

7 0
3 years ago
What element are u?<br><br> A<br> fire<br> b<br> air<br> c<br> water<br> d<br> earth
likoan [24]

Answer:

Air

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8 0
2 years ago
The difference between two numbers is 4. Three times the larger is 2 more than five times the smaller. Find the numbers.
Vitek1552 [10]

Let x represent the larger number.
Let y represent the smaller number.
x-y=4 Given
3x=5y-2 Given 
Now we can just substitute; let x=4+y 
Substitute 4+y for x in the second equation:
3(4+y)=5y-2
12+3y=5y-2
-2y=-14
y=7
Substitute back (into BOTH equations to double check work).
x, the larger number, is 11 
8 0
3 years ago
Read 2 more answers
I need help on this one
Tanzania [10]
What is it? I will help. :)
4 0
3 years ago
A store was keeping track of how many bottles of hand sanitizer and soap bars were sold last week. A bottle of hand sanitizer co
agasfer [191]

Answer:

Hand sanitizer=135 bottles

Bar soap=83 bottles

Step-by-step explanation:

Let x represent the hand sanitizer and y the sop.

-Our problem can be expressed as:

x+y=218\ \ \ \ \  ...i\\\\4.25x+2.15y=752.20\ \ \ \ \  ...ii

#Make x the subject in i then substitute in ii to solve;

x=218-y\\\\\therefore 4.25(218-y)+2.15y=752.20\\\\926.5-4.25y+2.15y=752.20\\\\174.3=2.1y\\\\y=83\\\\x=218-83=135

Hence, 135 bottles of hand sanitizer and 83 bottles of bar soap were sold.

5 0
3 years ago
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