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EastWind [94]
2 years ago
6

Use the terms 4,12a,6,2a,and 24 to make equivalent expressions. Use each term only once. Use substitution to prove that the expr

essions are equivalent
Mathematics
1 answer:
kvasek [131]2 years ago
7 0
In this problem, our best option is to just guess-and-check.

6(2a + 4) = 12a + 24

Now let’s check this!

Distribute the 6:: 12a + 24 = 12a + 24

Both sides look the same so that’s our answer.

And there you have it! 6(2a + 4) = 12a + 24 is your final equation. You can split up both sides into individual expressions (writing them separately without = ).

For using substitution, choose a random number for a and put it into both separate expressions, and they should result in the same number.

Ex. a = 1
6(2+4) = 6(6) = 36. 12+24=36

And that should be it for this question!
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Consider the quadratic equation x2=4x-5. How many solutions does the equation have
Norma-Jean [14]
The quadratic formula is =(-b+-sqrt(b^2-4ac))/2a
as you notice the term under the square root is b^2-4ac if it is postive then the equation clearly will have two real soultions if it is negative then the equation will have two imaginary soultion if it is zero then the the equation will have one soultion
so let us calculate b^2-4ac for our given equation
x^2=4x-5 so let us write it in general form which is ax^2+bx+c=0
subtracting 4x from both sides
x^2-4x=-5
adding 5 to both sides
x^2-4x+5=0
a=1,b=-4,c=5
b^2-4ac=(-4)^2-4(1)(5)=16-20=-4
which means the equation has two imaginary soultions
3 0
3 years ago
Read 2 more answers
What is the base 2 equivalent of 6010? * 111101 base 2 111100 base 2 110000 base 2 110100 base 2
Nuetrik [128]

Answer:

111100 base 2

Step-by-step explanation:

The conversion of 60 base 10 to base 2

When converting a number from base 10 to base 2, the following steps are taken:

a) The number in base 10 is divided by 2 and the remainder is recorded, this continues until the remainder is less than 2.

b) The remainder from the bottom to the top are arranged so as to get the representation of the number in base 2.

60 base 10 to base 2

60 ÷ 2       =       30  remainder  0

30 ÷ 2       =        15 remainder   0

15 ÷ 2       =         7   remainder   1

7 ÷ 2        =          3  remainder   1

3 ÷ 2        =          1   remainder   1

1 ÷ 2         =          0  remainder   1

The remainder from bottom to top is 111100 base 2.

(60)₁₀ = (111100)₂

4 0
3 years ago
What is teh units form 0.12
tia_tia [17]

Answer:

I think 5/60.......

u welcome

5 0
2 years ago
Read 2 more answers
You and your friend are selling subscriptions for a fundraiser. After w weeks you have sold (3w+4) subscrions and your friend ha
soldier1979 [14.2K]
3w + 4 - 5w + 1

-2w + 5
6 0
3 years ago
A study investigated whether price affects people's judgment. Twenty people each tasted six cabernet sauvignon wines and rated h
patriot [66]

Answer:

t=5.5080( to 3 d.p)

Step-by-step explanation:

From the data given,

n =20

Deviation= 34/20= 1.7

Standard deviation (sd)= 1.3803(√Deviation)

Standard Error = sd/√n

= 1.3803/V20 = 0.3086

Test statistic is:

t = deviation /SE

= 1.7/0.3086 = 5.5080

ndf = 20 - 1 = 19

alpha = 0.01

One Tailed - Right Side Test

From Table, critical value of t =2.5395

Since the calculated value of t = 5.5080 is greater than critical value of t = 2.5395, the difference is significant. Reject null hypothesis.

t score = 5.5080

ndf = 19

One Tail - Right side Test

By Technology, p - value = 0.000

Since p - value is less than alpha , reject null hypothesis.

Conclusion:

From the result obtained it can be concluded that ,the data support the claim that the mean rating assigned to the wine when the cost is described as $90 is greater than the mean rating assigned to the wine when the cost is described as $10.

5 0
3 years ago
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