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3 years ago

14

What value of y makes y + (4 - 2y) = 2 true?

1 answer:

BlackZzzverrR [31]3 years ago

8 0

Answer:

y = 2

Step-by-step explanation:

Given

y + (4 - 2y) = 2 ← remove parenthesis on left side

y + 4 - 2y = 2, that is

- y + 4 = 2 ( subtract 4 from both sides )

- y = - 2 ( multiply both sides by - 1 )

y = 2

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Under what operations are the set of integers closed? Explain your answer.

Ostrovityanka [42]

Integers are closed under addition, subtraction, and multiplication.Integers are not closed under division, For example, 1 divided by 3 is not an integer.

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3 years ago

To place a picture in his class newsletter, Joaquin must reduce the picture by a scale factor of 0.3. Find the dimensions of the

Law Incorporation [45]

This is the concept of scale factors. Given that Joaquin has reduce the dimensions of a picture by scale factor of 0.3 and the original dimension was 10 cm length by 10 cm width, the new dimension will be:
New length=(old length)×(scale factor)
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3 years ago

Factor. 9x^2+42xy+49y^2 <br> Enter your answer in the box

Sonbull [250]

$\qquad \qquad\huge \underline{\boxed{\sf ᴀɴsweʀ}}$

The factorized form of the given equation is ~

$\boxed{ \sf(3x + 7y) {}^{2} }$

Let's solve ~

$\qquad \sf \dashrightarrow \: 9 {x}^{2} + 42xy + 49 {y}^{2}$

$\qquad \sf \dashrightarrow \: (3x) {}^{2} + 2(3x \times 7y) + (7y) {}^{2}$

Now, as we can see, an Identity is applied here ~

that is ;

$\qquad \sf \dashrightarrow \: {a}^{2} + 2ab + {b }^{2} = (a + b) {}^{2}$

So, let's use this identity in our next step, taking :

a = 3x

b = 7y

$\qquad \sf \dashrightarrow \: (3x + 7y) {}^{2}$

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2 years ago

How do you model -2-(-4) using integer chips?

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3 years ago

Suppose that the consumer price index (CPI), which measures the cost of a typical package of consumer goods, stood at 113.5 in

notka56 [123]

Answer:

Equation: y=2x+113.5

CPI in 1992 and 2001 are 117.5 and 135.5 respectively.

Step-by-step explanation:

Let x equal 0 correspond to 1990.

The cost of a typical package of consumer goods, stood at 113.5 in 1990 and 133.5 in 2000.

It is given that the data can be modeled by a straight. So, the line passes through (0,113.5) and (10,133.5).

The equation of line is

$y-y_1=\dfrac{y_2-y_1}{x_2-x_1}(x-x_1)$

$y-113.5=\dfrac{133.5-113.5}{10-0}(x-0)$

$y-113.5=2(x)$

$y=2x+113.5$ .... (1)

Therefore, the best liner equation that models the CPI is y=2x+113.5.

Note: The given options are incorrect.

We need to estimate the CPI in 1992 and 2001.

Substitute x=2 in equation (1), to find the CPI in 1992.

$y=2(2)+113.5=117.5$

Substitute x=11 in equation (1), to find the CPI in 2001.

$y=2(11)+113.5=135.5$

Therefore, the CPI in 1992 and 2001 are 117.5 and 135.5 respectively.

8 0

3 years ago