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2 years ago

Find the axis of symmetry and the vertex of the graph of y=3x^2+2x

Mathematics

1 answer:

loris [4]2 years ago

4 0

Answer:

Vertex is (-1/3, -1/3) and the axis of symmetry is x = -1/3

Hope this helps :)

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What is the distance between (4,2) and (-1,-3)

Sati [7]

<h2>Solving for the Distance between two Points</h2><h3>Answer:</h3>

$5 \sqrt{2}$ or $7.071$

<h3>Step-by-step explanation:</h3>

<em>Please refer to my answer from this Question to know more about distances between two points: <u>brainly.com/question/24629826</u></em>

Given:

$(4,2)$

$(-1,-3)$

Solving for the Distance:

$\sqrt{(4-(-1))^2 +(2 -(-3))^2} \\ \sqrt{(4 +1)^2 +(2 +3)^2} \\ \sqrt{5^2 +5^2} \\ \sqrt{25 +25} \\ \sqrt{50} \\ \sqrt{25 \cdot 2} \\ 5 \sqrt{2}$

<u>Note:</u>

$5 \sqrt{2} \approx 7.071$

4 0

3 years ago

Each section of a race is 25 mile. the race has 4 sections.

In-s [12.5K]

The answer is to that is 100
25times 4

5 0

4 years ago

The table below shows the ages of employees over 50 at a company and the amount of money they have in their retirement accounts.

sp2606 [1]

Answer:

Step-by-step explanation:

plot your graph and then you will see there is no line which shows there is a correlation. they're too scattered

4 0

3 years ago

5/8 + -3/4 i don’t know this

Deffense [45]

Answer:

-0.125

Step-by-step explanation:

6 0

3 years ago

Number 1 and 2 please (25 points)

Elenna [48]

Answers:

1) $(3x+2)+(4-5x)=-2x+6$

$(3+2i)+(4-5i)=7-3i$

2) $(1-3x)(2+x)=-3x^{2}-5x+2$

$(1-3i)+(2+i)=5-5i$

Step-by-step explanation:

In mathematics there are rules related to complex numbers, specifically in the case of addition and multiplication:

<u>Addition: </u>

If we have two complex numbers written in their binomial form, the sum of both will be a complex number whose real part is the sum of the real parts and whose imaginary part is the sum of the imaginary parts (similarly as the sum of two binomials).

For example, the addition of these two binomials is:

$(3x+2)+(4-5x)=3x-5x+2+4=-2x+6$

Similarly, the addition of two complex numbers is:

$(3+2i)+(4-5i)=3+4+2i-5i=7-3i$ Here the complex part is the number with the $i$

<u>Multiplication: </u>

If we have two complex numbers written in their binomial form, the multiplication of both will be the same as the multiplication (product) of two binomials, taking into account that $i^{2}=-1$ .

For example, the multiplication of these two binomials is:

$(1-3x)(2+x)=2+x-6x-3x^{2}=-3x^{2}-5x+2$

Similarly, the multiplication of two complex numbers is:

$(1-3i)+(2+i)=2+i-6i-3i^{2}=2-5i-3(-1)=5-5i$

8 0

3 years ago