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2 years ago

Is this graph a function?

Mathematics

1 answer:

Alex17521 [72]2 years ago

5 0

No.

To check if a graph is a function, make sure there is exactly one y value for every x value. To find this, pretend you are moving a vertical line across the entire graph. As long as it stays straight up and down, it should only touch the line in one place.

For example, put an imaginary vertical line at the x value of -4. There are 3 different places the lines touch, so this graph doesn’t represent a function.

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Name a pair of overlapping congruent triangles in each diagram. State whether the triangles are congruent by SSS, SAS, ASA, AAS,

MariettaO [177]

Answer:

ΔPTS≅ΔRTA by AAS axiom of congruency

Step-by-step explanation:

Consider ΔPQA and ΔRQS

∠PQA=∠RQS (Vertically Opposite Angles)

∠QAP=∠QSR (Complementary of two equal angles, ∠RAT and∠PST)

Due to angle sum property of a triangle, we come to the conclusion that

∠APQ=∠SRQ

Consider ΔPTS and ΔRTA

TA=TS (Given)

∠RAT=∠PST(Given)

∠APQ=∠SRQ (Proved above)

Therefore, ΔPTS≅ΔRTA by AAS axiom of congruency.

8 0

3 years ago

.............................................................................................

Lady_Fox [76]

Answer:.............................................................................................

Step-by-step explanation:

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5 0

3 years ago

A certain pickup truck gets 20mpg in the city and 28 mpg on the highway. If the driver drives 270 mi on 11 gal of gas, determine

Snezhnost [94]

Answer:

95 city and 175 highway miles.

Step-by-step explanation:

The driver gets 20 mpg in city, and 28 mpg on the highway.

An equation that could be written is

20x+28y=270

This equation accounts for the distance traveled.

x+y=11

This equotion accounts for how many gallons were driven.

Multiply the bottom equation by 20, so you can solve the set of equations.

20x+28y=270

20x+20y=220

subtract them

8y=50

y=6.25

now plug this back into x+y=11

x+6.25=11

x=4.75

Now 4.75×20=95 city miles and 6.25×28=175 highway miles.

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3 years ago

13. Basil Tomlin's online checking account had a balance of $371.07. The balance did not

poizon [28]

Answer:

Step-by-step explanation

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2 years ago

A dairy scientist is testing a new feed additive. She chooses 13 cows at random from a large population of cows. She randomly as

Alina [70]

Answer:

Step-by-step explanation:

Hello!

The objective of this experiment is to test if a new feed + additive generates a better production of milk in cows. For this, the owner selects 13 cows and randomly separates them into two groups.

Group 1 has 8 cows that receive the new feed + additive.

Group 2 has 5 cows that were fed with the old feed.

After two weeks of feeding the animals with the different feeds, the production of milk of each group was recorded so that they can be compared.

Since you have two separate groups to wich at random two different treatments were applied and later the variable was measured, these two samples/groups are independent and the proper test to compare the population means of the milk production in both groups is a pooled t.

I hope this helps!

6 0

3 years ago