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timurjin [86]
3 years ago
13

Step 1: Use equations to solve problems.

Mathematics
1 answer:
vladimir2022 [97]3 years ago
8 0

Answer:

Step-by-step explanation:

Yctct

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Write 270 as a product of its prime factors
marshall27 [118]
270 = 90 \times 3 \\\\ = 3\times 3\times 5\times 2\times 3\\\\= \boxed{\bf{2\times 3^3 \times 5}}
5 0
3 years ago
If the mean is 7, what is the total amount?
tatuchka [14]

Answer:

mean if 7

Step-by-step explanation:

the mean is 7

3 0
3 years ago
Which is the equation of a hyperbola centered at the origin with x-intercept +\- 3 and asymptote y=2x
Radda [10]

Answer:

{\dfrac{x^{2}}{9} - \dfrac{y^{2}}{36} = 1}

Step-by-step explanation:

The hyperbola has x-intercepts, so it has a horizontal transverse axis.

The standard form of the equation of a hyperbola with a horizontal transverse axis is  \dfrac{(x - h)^{2}}{a^{2}} - \dfrac{(y - k)^{2}}{b^{2}} = 1

The center is at (h,k).

The distance between the vertices is 2a.

The equations of the asymptotes arey = k \pm \dfrac{b}{a}(x - h)

1. Calculate h and k. The hyperbola is symmetric about the origin, so  

h = 0 and k = 0

2. For 'a': 2a = x₂ - x₁ = 3 - (-3) = 3 + 3 = 6

a = 6/2 = 3  

3. For 'b': The equation for the asymptote with the positive slope is  

y = k + \dfrac{b}{a}(x - h) = \dfrac{b}{a}x

Thus,  asymptote has the slope of

\begin{array}{rcl}m& =& \dfrac{b}{a}\\\\2& =& \dfrac{b}{3}\\\\b& =& \mathbf{6}\end{array}

4.  The equation of the hyperbola is

\large \boxed{\mathbf{\dfrac{x^{2}}{9} - \dfrac{y^{2}}{36} = 1}}

The attachment below represents your hyperbola with x-intercepts at ±3 and asymptotes with slope ±2.

7 0
3 years ago
2 different companies offer online subscriptions. Company A charges $75 upfront and $20 per month. Company B does not charge the
ki77a [65]

Answer:

15 months

Step-by-step explanation:

Given that company A charges  \$75 upfront and \$20 per month and company B does not charge the upfront fee but charges \$35 per month.

Let after n months both the company charges the same amount.

Total charges by the company A=\$ (75+n\times 20) and total charges by the company B=\$ (n\times 35).

Now, from the given condition both the charges are equal, so

75+n\times 20=n\times 35 \\\Rightarrow 75= 35 n - 20 n\\\Rightarrow 75= 15 n \\\Rightarrow n= \frac {75}{5} \\\Rightarrow n= 15

Hence, after 15 months both the company charges the same amount.

4 0
3 years ago
Evaluate the expression when a=3 and b=-6.<br> -a +6b
Tcecarenko [31]

Answer:

Step-by-step explanation:

-a + 6b = -3 + 6 * (-6) = -3 - 36 = -39

5 0
3 years ago
Read 2 more answers
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