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blsea [12.9K]
3 years ago
5

{5y}{2} - \frac{1}{2} " alt=" \frac{5y}{2} - \frac{1}{2} " align="absmiddle" class="latex-formula">
​
Mathematics
1 answer:
Maru [420]3 years ago
4 0

Answer:

5y+1/ 2

Step-by-step explanation:

this is the answer

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Solve the equation. Show all your work. <br> x/x-2+x-1/x+1=-1
Oliga [24]
Multiply both sides by (x-2)(x+1) to clea fractions
x(x+1)+(x-1)(x-2)=(-1)(x-2)(x+1)
distribute
x^2+x+x^2-3x+2=-x^2+x-2
add like terms
2x^2-2x+2=-x^2+x+2
add x^2 to both sdes
3x^2-2x+2=x+2
minus x from both sides
3x^2-3x+2=2
minus 2 both sides
3x^2-3x=0
factor
(3x)(x-1)=0
set to zero

3x=0
x=0

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<span>x=0 or 1</span>
3 0
3 years ago
Find the linear function given h(4)=-13 h(-2)=17 find h(1)
sleet_krkn [62]

Answer:

h(1) = -11.75

Step-by-step explanation:

-13/4 = -3.25

17/-2 =- 8.5

6 0
4 years ago
Read 2 more answers
Rewrite the function y = x^2 - 6x + 14 in vertex form, y = (x - h)^2 + k.
Mila [183]

the equation of a parabola in

vertex form

is.


¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯

∣

∣

∣

2

2

y

=

a

(

x

−

h

)

2

+

k

2

2

∣

∣

∣

−−−−−−−−−−−−−−−−−−−−−


where

(

h

,

k

)

are the coordinates of the vertex and a


is a multiplier


to obtain this form

complete the square


y

=

x

2

+

2

(

4

)

x

+

16

−

16

+

14


⇒

y

=

(

x

+

4

)

2

−

2

←

in vertex form


⇒

vertex

=

(

−

4

,

−

2

)


to obtain the intercepts


∙

let x = 0, in the equation for y-intercept


∙

let y = 0, in the equation for x-intercept


x

=

0

⇒

y

=

0

+

0

+

14

=

14

←

y-intercept


y

=

0

⇒

(

x

+

4

)

2

−

2

=

0

←

add 2 to both sides


⇒

(

x

+

4

)

2

=

2


take the square root of both sides


√

(

x

+

4

)

2

=

±

√

2

←

note plus or minus


⇒

x

+

4

=

±

√

2

←

subtract 4 from both sides


⇒

x

=

−

4

±

√

2

←

exact values

graph{(y-x^2-8x-14)((x+4)^2+(y+2)^2-0.04)=0 [-10, 10, -5, 5]}

3 0
3 years ago
Read 2 more answers
Find the volume of the figure shown 2m 6m 6m 9m 16m
navik [9.2K]

Answer:

the answer is 10368 hope this help have a great day mark brainliest pls

Step-by-step explanation:

5 0
3 years ago
Sammy usually takes a 18 minute shower in the morning. If a 4 minute shower uses an average of 20-40 gallons of water, what is t
Luda [366]

Answer:

Step-by-step explanation:

This can be set up like an inequality.  Chances are just as likely that you are in ratios and proportions, but since I'm not sure, I'm going with the easier way for this particular situation.  The inequality, before reducing, is:

20 < 4x < 40,

which states that a 4 minute shower uses less than 40 gallons but greater than 20 gallons, where x is the number of gallons of water.  Therefore,

5 < x < 10 results when you simplify.  This puts things in terms of 1 minute now.  This states that a 1 minute shower uses less than 10 gallons of water but more than 5 gallons.  We got this by dividing everything by 4.

Now that things are in terms of a single minute, all you have to do is multiply the greatest number of gallons by 18 and the least number of gallons by 18 (and the x as well) to get the number of gallons used in an 18 minute shower as a range:

90 < 18x < 180

4 0
3 years ago
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