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andriy [413]
3 years ago
6

Which of the following is a solution of x2 + 2x + 4?

Mathematics
1 answer:
ivolga24 [154]3 years ago
3 0
Strictly speaking, x^2 + 2x + 4 doesn't have solutions; if you want solutions, you must equate <span>x^2 + 2x + 4 to zero:

</span>x^2 + 2x + 4= 0.  "Completing the square" seems to be the easiest way to go here:

rewrite   x^2 + 2x + 4  as   x^2 + 2x + 1^2 - 1^2 = -4, or
                                              (x+1)^2 = -3
or                                            x+1 =i*(plus or minus sqrt(3))

or                                            x = -1 plus or minus i*sqrt(3)

This problem, like any other quadratic equation, has two roots.  Note that the fourth possible answer constitutes one part of the two part solution found above.
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The point slope form of the equaton of the line that passes through (-9, -2) and (1, 3) is y-3=1/2(x-1). What is the slope-inter
igomit [66]

Answer: y=1/2x+5/2

Step-by-step explanation:

y-3=1/2 (x-1)

y-3(-3)=1/2x-1/2(+3)

y=1/2x-1/2+6/2

y=1/2x+5/2

hope this helped!!

3 0
3 years ago
Ginny’s favorite cookie recipe requires 1 1/2 cups of sugar to make 24 cookies. How much sugar does Ginny need to make 36 of the
Delicious77 [7]

Ginny needs 2\frac{1}{4} cups of sugar to make 36 cookies.

Step-by-step explanation:

Given,

Sugar cups required for 24 cookies = 1\frac{1}{2}=\frac{3}{2}\ cups

Ratio of sugar cups to cookies = \frac{3}{2}:24

Let,

x be the number of cups needed for 36 cookies.

Ratio of sugar cups to cookies = x:36\\

Using proportion;

Ratio of sugar cups to cookies :: Ratio of sugar cups to cookies

\frac{3}{2}:24::x:36

Product of mean = Product of extreme

24*x=\frac{3}{2}*36\\24x=54

Dividing both sides by 24

\frac{24x}{24}=\frac{54}{24}\\x=\frac{9}{4}\\x=2\frac{1}{4}

Ginny needs 2\frac{1}{4} cups of sugar to make 36 cookies.

Keywords: fraction, proportion

Learn more about fractions at:

  • brainly.com/question/96882
  • brainly.com/question/96535

#LearnwithBrainly

7 0
3 years ago
Tarik rides a stationary bike and Janet rides her bike on a trail. Their data is shown
KiRa [710]

Answer:

Part a. The graph does not model a proportional relationship.

Part b. The values in table model a proportional relation.

3.5 minutes per mile.

Step-by-step explanation:

Part a.

The graph shown in the question representing Janet's data is not a straight line although it passes through the origin.

That is why the rate of change of distance with time is not constant.

Therefore, the graph does not model a proportional relationship.

Part b.

If we plot the data in the table using distance in miles along the y-axis and time in minutes along the x-axis, then we will get a straight line passing through the origin.

So, the values in the table model a proportional relation.

Now, Tarik's unit rate in minutes per miles will be \frac{7-0}{2-0} =3.5 minutes per mile. (Answer)

6 0
3 years ago
Suppose legislation requiring the Fed to keep the inflation rate between 1.5% and 2.5% per year is passed by Congress. This law
Alborosie

Answer:

goal independence.

Step-by-step explanation:

The Fed is comprised of 12 regional federal reserve banks and its affairs are been directed by a board of governors. The characteristics fed has, granted to it by the congress, make they to remain very independent from the activities of the executive and legislative arms of the government. The Fed makes different policies and also implement them - which helps to ensure the employment of persons are up at all times and to create stability in prices and that of the interest rates.

4 0
3 years ago
Which is the best prediction for the number of pages in a chapter that takes 18 minutes to read?
mario62 [17]

Answer with explanation:

Time taken by a person to read number of pages in a chapter= 18 minutes

It is not given what is the length of the page.So,we can't say exactly  how many pages can a person read by completely understading what is written in each page in a chapter.

So, to fully understand each and every page in 18 minutes you can read minimum number of pages from the option given.

Option A:⇒ 15, is most appropriate.

9 0
3 years ago
Read 2 more answers
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