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Ipatiy [6.2K]
1 year ago
14

¿Cuál es la ecuación de la recta con pendiente -2 y el punto (4, 10)?

Mathematics
1 answer:
Sophie [7]1 year ago
4 0

The general slope-intercept form equation is:

\begin{gathered} y=mx+b \\ \text{Wher m is the slope and b is the y-intercept value} \end{gathered}

In this case, m=-2 and with the point (4, 10) we can find the value of b:

\begin{gathered} We\text{ evalute the equation in the point (x, y) = (4 , 10):} \\ 10=-2\cdot4+b \\ 10=-8+b \\ b=10+8=18 \end{gathered}

We found that b = 18, so:

y=-2x+18

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What is the completely factored form of x^4+8x^2-9
denis-greek [22]

Remark

You'll see it a whole lot easier if you make a substitution so that it looks like something you have already seen

Solution

let y = x^2

x^4 = x^2 * x^2

x^4 = y * y

x^4 = y^2

Now the expression becomes

y^2 + 8 y - 9  =  z

(y + 9)(y - 1) = z

Now put the x^2 back in.

(x^2 + 9) ( x^2 - 1) = z

x^2 - 1 becomes x + 1 and x - 1. At this level x^2 + 9 can't be factored.

Answer

(x^2 + 9) (x + 1)(x - 1)


3 0
4 years ago
Read 2 more answers
The distribution of the amount of money spent by students on textbooks in a semester is approximately normal in shape with a mea
Archy [21]

Answer:

Step-by-step explanation:

Given data:

\mu = 473

standard deviation is \sigma=  28

As distribution is normal in shape and values are symmetrical

The standard deviation rule says that 95% of observation lies between the second standard deviation of the mean

so, approximately only 5% of observation lies outside the interval and normal shape is symmetric. hence approximately 0.15% of observation lies above the interval

             = \mu + 2\times \sigma

             = 473 + 2\times 28 = 529

almost 0.15% of students spent more amount is 529

6 0
3 years ago
13 Answer:
Marizza181 [45]

Step-by-step explanation:

13.

132 miles in 3 h = 132miles/3hours = 132/3 miles/h =

= 44 miles/h

so,

how long for 110 miles ?

speed = distance/time

time = distance/speed = 110 miles / 44 miles/h =

= 110/44 h = 55/22 h =

= 5/2 h = 2.5 h

14.

60% = 60/100 = 6/10 = 3/5

15.

300% = 300/100 = 3

16.

116 2/3% = (348 + 2)/3% = 350/3% = 350/3/100 =

= 350/300 = 1 50/300 = 1 1/6

17.

19% = 19/100

18.

3.8% = 3.8/100 = 38/1000 = 19/500

19.

166 2/3% = (498 + 2)/3% = 500/3% = 500/3/100 =

= 500/300 = 5/3 = 1 2/3

20.

4/5 = 0.8 = 80%

21.

7/4 = 1.75 = 175%

22.

1/3 = 0.3333333... ≈ 33.33%

23.

2 = 200/100 = 200%

24.

0.4 = 40%

25.

0.375 = 37.5/100 = 37.5%

26.

80% of 60 = 60×80/100 = 60×4/5 = 48

27.

24% of 65 = 65×24/100 = 65×6/25 = 13×6/5 =

= 15.6

28.

115% of 138 = 138×115/100 = 138×23/20 =

= 69×23/10 = 158.7

29.

18.3% of 74 = 74×18.3/100 = 74×183/1000 =

= 37×183/500 = 13.542 ≈ 13.54

30.

6.5% of 115 = 115×6.5/100 = 115×65/1000 =

= 23×13/40 = 7.475 ≈ 7.48

31.

0.75% of 93 = 93×0.75/100 = 93×75/10000 =

= 93×3/400 = 0.6975 ≈ 0.70

4 0
2 years ago
Which equation is equivalent to log3(x+5)=2
Lisa [10]
In exponential form: 10^2=3(x+5)
If we were to solve, x=85/3
7 0
3 years ago
Read 2 more answers
Which is a flat surface with no thickness that contains many lines and extends without end in the directions of all its lines?
Lina20 [59]

Answer: A <em>plane </em>

This needs to be 20 characters long so this is ok

3 0
3 years ago
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