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4 years ago

Solve this quadratic equation using the quadratic formula. 3x2 + 5x + 1 = 0

1 answer:

3 0

Solve for x over the real numbers:
3 x^2 + 5 x + 1 = 0
Hint: | Using the quadratic formula, solve for x.
x = (-5 ± sqrt(5^2 - 4×3))/(2×3) = (-5 ± sqrt(25 - 12))/6 = (-5 ± sqrt(13))/6:
Answer: x = (-5 + sqrt(13))/6 or x = (-5 - sqrt(13))/6

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Write an equation of the line that passes through (2,7) and is parallel to the line shown ( please help !! )

Anna007 [38]

Answer:

$y=2x+3$

Step-by-step explanation:

We will first need to determine the slope of the line shown.

We know that it passes through the two points (-2, -2) and (1, 4).

Thus, we can use the slope formula to find the slope between the two points:

$\displaystyle m=\frac{y_2-y_1}{x_2-x_1}$

Let (-2, -2) be (x₁, y₁) and let (1, 4) be (x₂, y₂). Substitute:

$\displaystyle m=\frac{4-(-2)}{1-(-2)}=\frac{6}{3}=2$

Hence, the slope of the original line was 2.

Since we want the new line to be parallel, the slope of the new line must also be 2.

We know that the slope is 2 and it passes through the point (2, 7).

So, we can use the point-slope form:

$y-y_1=m(x-x_1)$

We will substitute 2 for m. We will also let (2, 7) be (x₁, y₁). Substitute:

$y-7=2(x-2)$

Solve for y. Distribute the right:

$y-7=2x-4$

Add 7 to both sides. Hence, our equation is:

$y=2x+3$

6 0

3 years ago

A man spent 58% of his income and the amount of money left was $210. Find his income

professor190 [17]

Answer:

500 $

Step-by-step explanation:

$\frac{42\%}{210}=\frac{100\%}{x}$

$\frac{\frac{21}{50}}{210}=\frac{1}{x}$

$\frac{21}{50}x=210\\$

$\frac{21}{50}x\cdot \:50=210\cdot \:50\\$

x=500

Red

6 0

3 years ago

(Worth 30 points) What are the explicit equation and domain for an arithmetic sequence with a first term of 5 and a second term

kolbaska11 [484]

Answer:

$a_n=5-2(n-1)$ , all integers where n≥1

Step-by-step explanation:

we know that

The explicit equation for an arithmetic sequence is equal to

$a_n=a_1+d(n-1)$

a_n is the th term

a_1 is the first term

d is the common difference

n is the number of terms

we have

$a_1=5\\a_2=3$

Remember that

In an Arithmetic Sequence the difference between one term and the next is a constant, and this constant is called the common difference.

To find out the common difference subtract the first term from the second term

$d=a_2-a_1=3-5=-2$

substitute the given values in the formula

$a_n=5-2(n-1)$

The domain is all integers for $n\geq 1$

3 0

3 years ago

2.6 X 16 fourth grade answers

Masteriza [31]

Answer:

41.6 lol

Step-by-step explanation:

3 0

3 years ago

<img src="https://tex.z-dn.net/?f=0.6%20%5Csqrt%7B33.54%7D%20" id="TexFormula1" title="0.6 \sqrt{33.54} " alt="0.6 \sqrt{33.54}

ki77a [65]

$0.6\sqrt{33.54}$

$=5.79137$

$0.6*5.79137$

$=3.4$

Hope this helps!

Thanks!

-Charlie

6 0

3 years ago