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NISA [10]
3 years ago
14

How many subsets of exactly two elements does a set of five elements have?

Mathematics
1 answer:
Sedaia [141]3 years ago
4 0
Do you have any options?


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What is the y-intercept of the quadratic function f(x) = (x – 8)(x + 3)? (8,0) (0,3) (0,–24) (–5,0)
DiKsa [7]
The correct answer is:  [C]:  " (0, 24) " .
___________________________________________________________

Explanation:
___________________________________________________________

Given the quadratic function:
___________________________________________________________

          →  "  y = (x <span>− 8) (x + 3) "  ;   </span>←  Note:  Replace the "f(x)" with: "y" ; 

→  Find the "y-intercept".
___________________________________________________________

→  Note:  The "y-intercept" is the coordinate of the point(s) of the graph of the equation at which the graph crosses the "x-axis" when "x = 0" . 

   → So;  we set plug in "0" for "x" into our equation; and solve for "y" ; 

          → " y = (x − 8) (x + 3) " ;

          →   y = (0 − 8) (0 + 3)  ; 

          →   y = (-8) * (3)  ;  
 
          →   y = - 24 ; 
___________________________________________________________

So, the "y -intercept" of the <em><u>given</u></em> quadratic function is:
 
the point at which:  "x = 0 ; y = -24 " ;

      →  that is; the point  the coordinates:  " (0, - 24) " ;
___________________________________________________________
  →  which is:  Answer choice:  [C]:  " (0, - 24) " .
___________________________________________________________
9 0
3 years ago
Read 2 more answers
Jake made a total of 7 copies at a copy shop, with some being black-and-white copies and some being color copies. Black-and-whit
Arada [10]
Jake spent a total of 70 cents.
b = black-and-white = 8 cents
c = color = 15 cents

70 = 8b + 15c

he made a total of 7 copies
b + c = 7

system of equation:
70 = 8b + 15c
b + c = 7

--------------------------

b + c = 7
b + c (-c) = 7 (-c)
b = 7 - c

plug in 7 - c for b

70 = 8(7 - c) + 15c
Distribute the 8 to both 7 and - c (distributive property)

70 = 56 - 8c + 15c
Simplify like terms

70 = 56 - 8c + 15c
70 = 56 + 7c

Isolate the c, do the opposite of PEMDAS: Subtract 56 from both sides

70 (-56) = 56 (-56) + 7c
14 = 7c

divide 7 from both sides to isolate the c

14 = 7c
14/7 = 7c/7
 c = 14/7
 c = 2

c = 2
---------------

Now that you know what c equals (c = 2), plug in 2 for c in one of the equations.
b + c = 7
c = 2
<em>b + (2) = 7
</em><em />Find b by isolating it. subtract 2 from both sides
b + 2 = 7
b + 2 (-2) = 7 (-2)
b = 7 - 2
b = 5

Jake made 5 black-and-white copies, and 2 color copies

hope this helps
8 0
4 years ago
Read 2 more answers
2nd term in expansion of the binomial theorem (4x+2y^3)^3 show work
Roman55 [17]

I hope this helps with you

7 0
3 years ago
The sum of five more than a certain number and 10 more than twice the number is equal to the product of 2 and the number increas
d1i1m1o1n [39]

Answer:

No solution

Step-by-step explanation:

10+2x=2x+8

2x=2x-2

0≠-2

7 0
3 years ago
Forth grade math: What happens to the area of the triangle when one of the dimensions is doubled and halved?
Alja [10]

\bf \textit{area of a triangle}\\\\ A=\cfrac{1}{2}bh~~ \begin{cases} b=base\\ h=height\\[-0.5em] \hrulefill\\ b=\stackrel{doubled}{2b} \end{cases}\implies A=\cfrac{1}{2}(2b)(h)\implies \stackrel{\textit{twice as the original area}}{A=bh} \\\\[-0.35em] ~\dotfill

\bf \textit{area of a triangle}\\\\ A=\cfrac{1}{2}bh~~ \begin{cases} b=base\\ h=height\\[-0.5em] \hrulefill\\ h=\stackrel{halved}{\frac{h}{2}} \end{cases}\implies A=\cfrac{1}{2}b\left( \cfrac{h}{2} \right)\implies \stackrel{\textit{half of the original area}}{A=\cfrac{1}{2}bh\left( \cfrac{1}{2} \right)}

7 0
4 years ago
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