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Paraphin [41]
3 years ago
13

Help me with this question of O math​

Mathematics
1 answer:
vagabundo [1.1K]3 years ago
3 0

Answer:

domain is { - 1, 0, 1 }

Step-by-step explanation:

The domain are the values of the input x

Substitute the value from the range y into the equation and solve for x

y = 1

2x + 3 = 1 ( subtract 3 from both sides )

2x = - 2 ( divide both sides by 2 )

x = - 1

-------------------------------

y = 3

2x + 3 = 3 ( subtract 3 from both sides )

2x = 0 , then

x = 0

-------------------------------

y = 5

2x + 3 = 5 ( subtract 3 from both sides )

2x = 2 ( divide both sides by 2 )

x = 1

Then the domain is { - 1, 0, 1 }

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Norachai traveled to the recycling plant and back. The trip back took 5 hours. He averaged 9mph faster on the trip there than on
irina1246 [14]

Answer:

His\ average\ speed\ to\ trip\ there\ =45\ mph\\\\His\ average\ speed\ in\ return\ trip=45-9=36\ mph\\\\His\ average\ speed\ during\ whole\ trip=40\ mph

Step-by-step explanation:

Let\ distance\ from\ one\ side=d

Trip:

Let\ speed\ when\ he\ was\ going=x\ mph\\\\Time\ taken=4\ hours\\\\distance=d\\\\distance=speed\times time\\\\d=x\times 4\\\\d=4x\ ...................................eq(1)

Return Trip:

Speed=x-9\ \ \ \ \ (as\ it\ is\ 9\ mph\ slower)\\\\Time\ taken=5\ hours\\\\Distance=d\\\\Distance=speed\times time\\\\Distance=5\times (x-9)\\\\d=5x-45\ ........................................eq(2)

from\ eq(1)\ and\ eq(2)\\\\5x-45=4x\\\\5x-4x=45\\\\x=45\ mph\\\\from\ eq(1)\\\\d=4\times 45=180\ miles

Average\ speed\ during\ whole\ trip=\frac{total\ distance}{total\ time}=\frac{2\times 180}{5+4}=\frac{360}{9}=40\ mph

His\ average\ speed\ to\ trip\ there\ =45\ mph\\\\His\ average\ speed\ in\ return\ trip=45-9=36\ mph\\\\His\ average\ speed\ during\ whole\ trip=40\ mph

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3 years ago
I need help with this Algebra question
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Step 2 = Addition Property ( adding like terms)

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Step 4 = Division Property. ( dividing both sides by 17)


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4 years ago
The vectors are linearly independent if and only if?
Alexeev081 [22]

The vectors are linearly independent if and only if k ≠ -11

<h3>How to solve the vector</h3>

In mathematics, the definition of a vector is a quantity that is made up of both magnitude and also have direction. This type of quantity is not one that is considered based on its position. A very good example of such a quantity with magnitude and direction is acceleration.

Vectors are used to represent items such as position, velocity, physical quantities and others in mathematics and in physics.

In this question,

We have 2v - 3w

We have to multiply 2 by the values of v and multiply 3 with the values of w

this would produce

[2,6,8]-[6,6,12]

subtract w from v

= [-4, 0, -4]

We u as -1, 0 and 10+k

It is not possible to -1 = 10 + k

-11 = k

Hence we have to conclude that they are linearly independent if and only if k ≠ -11

Read more on vectors here:

brainly.com/question/22363471

#SPJ1

6 0
3 years ago
Erika found out that after working in her current job for 9 months she has earned 6 days of vacation
Arte-miy333 [17]

Answer:

4 days

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9/6 = 6/x

x = 4

6 0
3 years ago
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