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Leya [2.2K]
2 years ago
6

X-intercepts of the graph of y = = 3x2 + 2x – 2?

Mathematics
1 answer:
olga_2 [115]2 years ago
7 0

Answer:

(-1.215,0) (0.549,0)

hope this helps

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The area of a triangle is one half the base and times the height. If the area of the triangle is 16 square inches and the vase i
sergij07 [2.7K]

Step-by-step explanation:

so, yes, the area of a triangle is

baseline × height / 2

so, we have here

16 = 8 × height / 2 = 4 × height

height = 16/4 = 4 in.

8 0
2 years ago
Find the 13th term of the arithmetic sequence -3x – 1,42 + 4,112 + 9, ...
Strike441 [17]

Answer:

The 13th term is 81<em>x</em> + 59.

Step-by-step explanation:

We are given the arithmetic sequence:

\displaystle -3x -1, \, 4x +4, \, 11x  + 9 \dots

And we want to find the 13th term.

Recall that for an arithmetic sequence, each subsequent term only differ by a common difference <em>d</em>. In other words:

\displaystyle \underbrace{-3x - 1}_{x_1} + d = \underbrace{4x + 4} _ {x_2}

Find the common difference by subtracting the first term from the second:

d = (4x+4) - (-3x - 1)

Distribute:

d = (4x + 4) + (3x + 1)

Combine like terms. Hence:

d = 7x + 5

The common difference is (7<em>x</em> + 5).

To find the 13th term, we can write a direct formula. The direct formula for an arithmetic sequence has the form:

\displaystyle x_n = a + d(n-1)

Where <em>a</em> is the initial term and <em>d</em> is the common difference.

The initial term is (-3<em>x</em> - 1) and the common difference is (7<em>x</em> + 5). Hence:

\displaystyle x_n = (-3x - 1) + (7x+5)(n-1)

To find the 13th term, let <em>n</em> = 13. Hence:

\displaystyle x_{13} = (-3x - 1) + (7x + 5)((13)-1)

Simplify:

\displaystyle \begin{aligned}x_{13} &= (-3x-1) + (7x+5)(12) \\ &= (-3x - 1) +(84x + 60) \\ &= 81x + 59 \end{aligned}

The 13th term is 81<em>x</em> + 59.

3 0
3 years ago
CAN SOMEONE PLEASE ANSWER THIS SOON! THANK YOU!
lyudmila [28]

We want to find one-half of the reciprocal of 7/sqrt(98). Let's write down an expression for this:

\dfrac{1}{2} \times \dfrac{\sqrt{98}}{7}

We can rewrite 98 into 2 \times 49

\dfrac{1}{2} \times \dfrac{\sqrt{2 \times 49}}{7}

=\dfrac{1}{2} \times \dfrac{\sqrt{2} \times \sqrt{49}}{7}

The square root of 49 is 7

=\dfrac{1}{2} \times \dfrac{\sqrt{2} \times 7}{7}

=\dfrac{1}{2} \times\sqrt{2}

=\dfrac{\sqrt{2}}{2}

This should be your answer. Let me know if you need any clarifications, thanks!

5 0
3 years ago
Read 2 more answers
Convert 6 liters to quarts
maksim [4K]

Answer:

6.34013 quarts

Step-by-step explanation:

i looked it up

4 0
3 years ago
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Answer both questions please
alex41 [277]

Answer:

Sorry I can't because i don't know this : (

Step-by-step explanation:

6 0
3 years ago
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