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solong [7]
4 years ago
12

Which function, h(x), results when f(x) = 2x2 – 6 is subtracted from g(x) = 2x2 + 5x - 1?​

Mathematics
1 answer:
Leno4ka [110]4 years ago
5 0
2x^2-6-2x^2-5x+1
-6-5x+1
-5-5x
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Four students were discussing how to find the unit rate for a proportional relationship. Which method is valid? “Look at the gra
IgorC [24]

Answer:  The correct answer is: [A]:

__________________________________________________

       " Look at the graph of the relationship.  Find the y-value of the point that corresponds to x = 1 .   That value is the unit rate. "

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Step-by-step explanation:

__________________________________________________

Note that the "unit rate" is the term that refers to:

a "quantity" / or "quantitative value" ;  

       →  of some type of "countable units"

{e.g. "currency"  — [such as:  dollars, cents,  pounds] ; "distance/length/ width/ height" — [such as:  miles, kilometers, meters, centimeters, yards, feet, inches] ;  pieces of fruits — [such as:  number of apples;  cans of soda, number of red dresses] ;  

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 per "single unit" of something — {e.g. per hour; per minute; per mile; per ounce; per hour; per dollar, per kilometer, per day, per week.

   {e.g.

             →    " 3 apples eaten  per [single] apricot eaten" ;

             →  " 46 miles per hour.

             →   " 8.3 cents per oz."  ;

             →  " 5 Liters of soda per dollar " ;

             →   " 2.3 grams per mole " ;

             →  " 4.6 mg solute / kg of solvent " ;  

             →  " 5 km / hr " ;  {that is:  " 5 km per hr " } .

             →  " 3 yds. per [single] square inch."

             →  " 35 parts per hundred" ; {that is:  " 35 percent" ; or: " 35 % " . } .

             →    " ... The cilantro is on sale for 33 cents per bundle ...} ."

   →  ... to provide a few examples.  

__________________________________________________

     On on Cartesian plane graph,  the  "x-axis" is located on the "horizontal axis" that represents the "independent variable" (or, at times, the "experimental value" — which can be manipulated — or "controlled" —or  be subjected to being "manipulated" / "controlled" / or, "selected".

   The "y-axis" is located on the "vertical axis" that represents the "dependent variable" (or, at times, the "control value") that cannot be "manipulated" / controlled/ or "selected" / since it represents the "y-value" of the corresponding coordinate to which the "x-value" happens to corresponds to at the given value for "x" .

   So, if the "unit rate" represents the "single unit rate" ;  we look at "x = 1 " ;  since we are "choosing" this particular "single" rate of per "single" (i.e. "1" ) ; so we do not have a choice in what "y-value" of the particular graph to select.  We can control the fact that we are "choosing" to find the "unit" rate, so we select the "independent variable" , "x = 1 " . We then examine the "corresponding y-value" that happens to exist when "x = 1 " .

 {Note that we have "no control" over what that "y-value" is ; at the: "[point which:  " x = 1 .] . "

_________________________________________________  

→  As such, that "y-value" [insert that numeric "y-value" ;                        followed by the units represented by the "y-axis" ] ;

            per  " 1 " [insert "single unit" represented by the "x-axis" ] ;

_________________________________________________    

           →   is the:  "unit rate" .

__________________________________________________

So:  

    The correct answer is:    [A]:  

__________________________________________________

     " Look at the graph of the relationship.  Find the y-value of the point that corresponds to x = 1 .   That value is the unit rate. "

__________________________________________________

Hope this answer is helpful to you!

    Best wishes to you in your academic endeavors —

            and within the "Brainly" community!

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6 0
3 years ago
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Are the triangles similar? Justify your answer​
cluponka [151]

Answer:

Yes

Step-by-step explanation:

If you divide all the sides of the larger triangle by 3, it's equivalent to the sides of the smaller triangle. Therefore, they are similar.

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Will require a less costly investment in
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Answer:

The Shoe Hut

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Star's Coffee and Coffee

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The value of k such that (x-5) divides the polynomial p(x)= x^3-6x^2+kx+30 exactly,is
mixas84 [53]

Answer:

k = - 1

Step-by-step explanation:

If (x - 5) is a factor of p(x) then p(5) = 0

p(5) = 5³ - 6(5)² + 5k + 30 = 0 , that is

125 - 150 + 5k + 30 = 0

5 + 5k = 0 ( subtract 5 from both sides )

5k = - 5 ( divide both sides by 5 )

k = - 1

3 0
3 years ago
19. The present age of brother and sister are in the ration 4:5 Before three years the ration of their age was 3:4. find their p
Lyrx [107]

Answer:

Sister = 15 years old

Brother = 12 years old

Step-by-step explanation:

Right now, if the brother is B years old and the sister is S years old, B = (4/5)S because the ratio from brother to sister is 4:5, so if one unit is X, B = 4X and S = 5X

Three years ago, the brother was B-3 years old and the sister was S-3 years old. Keeping one unit as X, we have

B = 3X

S = 4X

B-3 = (3/4)(S-3)

Therefore, we have a system of equations

B = (4/5)S

B-3 = (3/4)(S-3)

Substitute (4/5)S for B into the second equation to only have one variable

(4/5)S - 3 = (3/4)(S-3)

(4/5)S - 3 = (3/4)S - 9/4

add 3 to both sides and subtract (3/4)S from both sides to isolate the variable and its coefficient

(1/20)S = 3/4

multiply both sides by 20 to isolate the S

S = 15

B = (4/5)S = 12

5 0
3 years ago
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