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g100num [7]
3 years ago
10

Please factor this problem x^2+7x-8

Mathematics
1 answer:
oksian1 [2.3K]3 years ago
5 0
(x+8)(x-1)

Check:
8-1=7
8*-1=-8
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PLZ HELP OR I FAIL MY TEST
Volgvan

Answer:

time upstream=24/8=3 hours

time downstream=24/12=2 hours

Step-by-step explanation:

If R*T=D, and R is speed + or - current, how can you find the rate without the time, and how can you find the time without the rate?

THE KEY WAS WHEN WE WERE TOLD THAT IT TAKES ONE HOUR LONGER TO GO UPSTREAM THAN DOWNSTREAM BECAUSE T=D/R AND WE ARE TOLD THAT:

D/R(Upstream) minus 1 equals D/R (DOWNSTREAM)



Let x=rate of current

distance(d)=rate(r) times time(t) or d=rt or t=d/r

distance upstream=distance downstream=24 mi

rate upstream=10-x

rate downstream=10+x

time upstream=(distance upstream)/(rate upstream)=24/(10-x)

time downstream=(distance downstream)/(rate downstream)=24/(10+x)

Now, we are told that time upstream minus one hour equals time downstream. So our equation to solve is:

24/(10-x)-1=24/(10+x) Multiply both sides by (10-x)(10+x)

24(10+x)(10-x)/(10-x)-1(10-x)(10+x)=24(10-x)/(10+x)/(10+x) clear fractions


24(10+x)-(10-x)(10+x)=24(10-x) clear parens

240+24x-100-10x+10x+x^2=240-24x subtract 240 from and add 24x to both sides

240-240+24x+24x-100+x^2=240-240-24x+24x collect like terms

x^2+48x-100=0 ----------------quadratic equation in standard form

This equation can be factored:

(x+50)(x-2)=0

x=-50 mph----------------discount the negative value for speed

and

x=2 mph----------------------speed of the current

CK

10-x=10-2= 8 mph -----------------------speed upstream

10+x=10+2=12 mph--------------------------speed downstream

time upstream=24/8=3 hours

time downstream=24/12=2 hours

so 3-2=1----takes 1 hour longer upstream

7 0
3 years ago
There are 4 grams of fiber in 1/2 cup of oats how many grams of fiber are in 3 1/2
Anna71 [15]

Answer:

28 grams

Step-by-step explanation:

In  cup of oats, amount of fiber is = 4 grams

In 1 cup of oats amount of fiber is =  = 8 grams

So, in  or  cups of oats, amount of fiber is = 28 grams

3 0
2 years ago
Read 2 more answers
N- 0.125= 4.1 what is N?
guajiro [1.7K]
Well, lets add 0.125 to 4.1.

We would get 4.225.

Finally we can check.

4.225-0.125= 4.1

How did we get it? What i did is I did the opposite. Instead of subtracting 0.125 I added it.

N= 4.225
4 0
3 years ago
Read 2 more answers
Minor surgery on horses under field conditions requires a reliable short-term anesthetic producing good muscle relaxation, minim
iren [92.7K]

Answer:

We accept  H₀

Step-by-step explanation:

Normal Distribution

size sample   n  = 69

sample mean  18.94

standard deviation  8.3

Is a one tailed-test to the left we are traying of find out is we have enough evidence to say that the mean is less than 20 min.

1.-Test hypothesis                              H₀         ⇒   μ₀  =  20

   Alternative hypothesis                  Hₐ         ⇒    μ₀  < 20

2.- Critical value

for α = 0.1  we find from z Table

z(c) = - 1.28

3.-We compute z(s)

z(s) = [ (  μ  -  μ₀ ) / (σ/√n)                ⇒    z(s) = [( 18.94  -  20  )*√69)/8.3]

z(s) = ( -1.06)*8.31/8.3                    

z(s) =  - 1.061

4.- We compare

z(c)   and z(s)           -1.28 > -1.061

Then z(c)    >  z(s)

z(s) in inside acceptance region  so we accept H₀

5 0
3 years ago
He length of a rectangle is three times its width. The perimeter of the rectangle is at most 112 cm.
g100num [7]
The equation relating length to width
L = 3W
The inequality stating the boundaries of the perimeter
LW <= 112
When you plug in what L equals in the first equation into the second equation, you get
3W * W <= 112
evaluate
3W^2 <= 112
3W <= 4 \sqrt{7}
W <= \frac{4 \sqrt{7} }{3} cm
8 0
3 years ago
Read 2 more answers
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