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3 years ago

Which equation is an identity?

Mathematics

2 answers:

AfilCa [17]3 years ago

5 0

Answer: The Answer is C. 2x+3+1/2 (4x+2)+2

Step-by-step explanation:

Scilla [17]3 years ago

5 0

For this case we have that an identity is an equation in which the left side of the equation is equal to the right side of the equation.

We then have the following equation:

$2x + 3 = \frac {1} {2} (4x + 2) + 2$

When applying the distributive property on the right side we have:

$2x + 3 = \frac {1} {2} (4x) + \frac {1} {2} (2) + 2$

Rewriting we have:

$2x + 3 = 2x + 1 + 2\\2x + 3 = 2x + 3$

We observe that both sides are equal. Therefore, the equation is an identity.

Answer:

$2x + 3 = \frac {1} {2} (4x + 2) + 2$

Option C

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3 years ago

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3 years ago

AFLATI 2 NUMERE STIIND CA AL DOILEA NUMAR ESTE DE 7 ORI MAI MARE DECITPRIMUL IAR SUMA DINTRE DUBLUL PRIMULUI NUMAR SI TRIPLUL CE

postnew [5]

Answer:

The numbers are 20 and 140

Step-by-step explanation:

The question in English is

Find 2 numbers knowing that the second number is 7 times greater than the first, and the sum between the double of the first number and the triple of the second is 460

Define the variables

Let

x ----> the first number

y ----> the second number

we know that

$y=7x$ -----> equation A

$2x+3y=460$ ----> equation B

Solve the system of equations by substitution

Substitute equation A in equation B

$2x+3(7x)=460$

solve for x

$2x+21x=460$

$23x=460$

$x=20$

Find the value of y

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The numbers are 20 and 140

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3 years ago

Leroi and Sylvia both put $100 in a savings account. Leroi decides he will put in an additional $10 each week. Sylvia decides to

Nimfa-mama [501]

Sylvia puts in $121.

10% of (multiply) $210.
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3 years ago

What conjecture can you make about the sum of the first 22 positive even numbers?

alekssr [168]

Answer:

A.) The sum of the product of the number of terms and the number of terms plus one.

Step-by-step explanation:

So, we have the sum of the first 22 positive even numbers:

S = 2 + 4+ 6 + ... + 44

We know the sum of such sequence is given by the (sum of the first number (2) and the last number (44)) multiplied by the number of terms (11).

S = (2 + 44) * 11 = 46 * 11 = 506

Answer A tells us it should be the sum of the number of terms (22) by the number of terms plus one (22 + 1 = 23).

S = 22 * 23 = 506

That's confirmed.

Answer B would give 22 * 21 = 462, so it's not right

Answer C would give 22 * 2 = 44, obviously not right

Answer D would give 22 * 22 = 484, close but not right.

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3 years ago