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FrozenT [24]
3 years ago
8

What will be the result of substituting 2 for x in both expressions below?

Mathematics
2 answers:
hram777 [196]3 years ago
7 0

Answer:  The correct option is

(A) Both expressions equal 5 when substituting 2 for x because the expressions are equivalent.

Step-by-step explanation:  We are given to find he result of substituting 2 for x in both the following expressions :

E_1=\dfrac{1}{2}x+4~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~(i)\\\\\\E_2=x+6-\dfrac{1}{2}x-2~~~~~~~~~~~~~~~~~~~~~~~~~(ii)

Substituting x = 2 in both the expressions, we get

(i)~\Rightarrow E_1=\dfrac{1}{2}\times2+4=1+4=5,\\\\\\(ii)~\Rightarrow E_2=2+6-\dfrac{1}{2}\times2-2=8-1-2=5.

So, the both the expressions equal 5.

Now, from equation (ii), we get

E_2=x+6-\dfrac{1}{2}x-2=\dfrac{2-1}{2}x+6-2=\dfrac{1}{2}x+4=E_1.

That is, both the expressions are equivalent.

Thus, both the expressions equal 5 when substituting 2 for x because the expressions are equivalent.

Option (A) is CORRECT.

Gnom [1K]3 years ago
3 0

Answer: pretty sure the answer is A

Step-by-step explanation:

1/2(2) + 4 = 1 + 4 = 5

2 + 6 - 1/2(2) -2 = 8 - 1 - 2 = 5

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Does 10,15,20 form a right triangle
sveta [45]
A right triangle can only be formed when you use the 3/4/5 rule.
The 3/4/5 rule is a^2 + b^2 = c^2.

We will use 10 for a, 15 for b, and 20 for c.

a^2 + b^2 = c^2

Plug in 10 for a, 15 for b, and 20 for c.

10^2 + 15^2 = 20^2

10^2 = 100

15^2 = 225

20^2 = 400

100 + 225 = 400
This is not applicable, as 100 + 225 = 325.

Your answer is:

No, 10,15,20 does not form a right triangle.

I hope this helps!
5 0
3 years ago
THE VOLLEYBALL TEAM WON 80% OF THE GAMES THEY PLAYED THIS SEASON. THE
Pavlova-9 [17]

Answer:

20 games won

Step-by-step explanation:

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8 0
2 years ago
Krystal will be 31 years old in thirteen<br> years. How old is she now?
pogonyaev
Answer:

She’s 18

Step by step explanation:

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7 0
2 years ago
Three girls cut out decimal models of hundredths. Amber doesn't shade any of her models. Grace qualifies three fifths of a model
Varvara68 [4.7K]

Answer:

Amber = 0

Grace = 0.60

Marsha =1.70

Step-by-step explanation:

Given

<em>Decimal Grid = Hundredths</em>

Amber = None

Grace = \frac{3}{5}th

Marsha = 1 + \frac{7}{10}th

To solve for each:

We have:

For Amber:

Amber = 0 * 100

Amber = 0

For Grace:

Grace = \frac{3}{5}th

Grace = \frac{3}{5} * 100

Grace = \frac{300}{5}

Grace = 60

This means that Grace shaded 60 of the hundredth models.

Decimal shaded is:

Grace = 60 * \frac{1}{100}

Grace =\frac{60}{100}

Grace = 0.60

For Marsha:

Marsha = 1 + \frac{7}{10}th

Marsha = \frac{10 + 7}{10}th

Marsha = \frac{17}{10}th

Marsha = 1.7th

Multiply this by 100, to get the number of shaded

Marsha = 1.7 * 100

Marsha = 170

This means that Marsha shaded 170 of the hundredth models.

Decimal shaded is:

Marsha = \frac{170}{100}

Marsha =1.70

5 0
3 years ago
A series of quarterly payments of P1,300 each at the first payment is due at 4 years, and the last payment at the end of 12 year
gtnhenbr [62]

Answer:

The Value of Payments is  P18,557.15

Step-by-step explanation:

The quarterly payment is an annuity payment.

Use the following formula to calculate the present value of the payments.

PV of Annuity = Annuity Payment x ( 1 - ( 1 + interest rate )^-Numbers of periods ) / Interest rates

Where

Annuity Payment = Quarterly payment = P1,300

Interest rate = 5.12% x 3/12 = 1.375%

Numbers of periods = 4 years x 12/3 = 16 quarters

PV of Annuity = Value of Payments  = ?

Placing values in the formula

Value of Payments = P1,300 x ( 1 - ( 1 + 1.375% )^-16 ) / 1.375%

Value of Payments =  P18,557.15

4 0
2 years ago
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