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disa [49]
2 years ago
5

What is the value of the expression 3a+b/2 when α = 1/4 and b = 3/2 ?

Mathematics
2 answers:
n200080 [17]2 years ago
5 0

Answer: 9/8

Step-by-step explanation:All this question is asking you to do is to solve your given equation when those variables are what they are

(

a

=

1

and

b

=

−

2

)

So that's exactly what we're going to do:

3a + 2b ; a=1, b =-2

3

(

1

)

+

2

(

−

2

)

(substitute the values of the variables)

From here on, it's just a matter of condensing down the numbers. Very straightforward, and easy points on tests and quizzes. You can do this in your head if you want, or you can just do it on your calculator (which is probably the best way to go as it's faster and more accurate).

3

+

(

−

4

)

(simplify)

3

−

4

=

−

1

So here, what we've proven is that in our given equation, if

a

=

1

and

b

=

−

2

, then it would yield us a product of

−

1

.

Once again, these types of evaluation problems are very straightforward, and are usually always easy points on tests and quizzes if you have an inkling of an idea of what the concept is about. Again, if you have a calculator with all the appropriate functions, that makes it even easier.

Try another:

6

a

2

−

b

+

8

with a = 1 and b = 3

6

(

1

)

2

−

(

3

)

+

8

6 - 3 + 8

= 11

Just as a sidenote here, make sure you're aware of the difference between

(

6

x

)

2

and

6

x

2

. The former refers to both the 6 and the

x

being squared, whereas the latter shows only the

x

being squared. Just be careful not to mix the two.

Try one more:

2

c

−

5

3

b

+

4

with b = 2 and c = 4

2

(

4

)

−

5

3

(

2

)

+

4

=

8

−

5

6

+

4

=

3

10

(or 0.3)

Speaking from experience, when you work with rational (fraction) polynomials on paper, it often tends to take up a bit of space and get messy. Therefore, I'd suggest you tried solving one equation at a time if you have the same issue.

Also, sometimes you may come across values that you don't want to type again in your calculator (like non-recurring decimals). For these, use the store function on your calculator to get maximum accuracy. With TI-84 and 83s, you can save values as letters (X, Y, etc.). Hence, you can just write out your equation using these, and hence significantly reduce the risk of typing the number wrong, while saving yourself some time.

Finally, when substituting in negative values, be SURE to use parentheses to remind you of certain order of operations issues that may affect the problem!

katrin2010 [14]2 years ago
3 0

Answer:

1.5 i think

Step-by-step explanation:

3 times 1/4 is .75, and so is b divided by 2

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frutty [35]

Answer:

Proportional: Non-Proportional: How to tell the difference: A proportional graph is a straight line that always goes through the origin. A non-proportional graph is a straight line that does not go through the origin.

Step-by-step explanation:

<h3>hope it helps</h3>
4 0
2 years ago
On the blueprint of a house, 42 millimeters represents 8 meters. The actual length of the living room is 5 meters. What is its l
RideAnS [48]

Answer:

26.25 mm

Step-by-step explanation:

On the blueprint of a house, 42 millimeters represents 8 meters. Thus,

42 mm - 8 m,

x mm - 5 m,

mathematically,

\dfrac{42}{x}=\dfrac{8}{5},\\ \\42\cdot 5=8x,\\ \\x=\dfrac{210}{8}=\dfrac{105}{4}=26.25\ mm.

5 0
3 years ago
The distance that Scott walks is a function of the time he spends walking. Scott can walk 1 half
MaRussiya [10]

Step-by-step explanation:

It is given that,

The distance that Scott walks is a function of the time he spends walking. Scott can walk 1 half  mile every 8 minutes.

Let y is the distance (in miles) and x is time (in minutes).

\dfrac{0.5}{8}=\dfrac{y}{x}\\\\\dfrac{x}{y}=16\\\\y=\dfrac{x}{16}

The attached graph predicts the shape of the function. Hence, this is the required solution.

8 0
3 years ago
Karissa deposits $165 into a new savings account. The account earns 2.75% simple interest per year. Karissa plans on keeping the
enyata [817]

Answer:$382

Step-by-step explanation:

To get The interest for 4 years

Amount*rate*time*duration

165*0.0275*12*4=$217

165+217=$382

3 0
3 years ago
Use a=-2, b=-3 and c= 6 to write an expression that has a value of 6
DaniilM [7]

Answer:

Step-by-step explanation:

7 0
3 years ago
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