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guajiro [1.7K]
4 years ago
5

Which of the following represents the factorization of the trinomial below?

Mathematics
2 answers:
PolarNik [594]4 years ago
8 0

Answer: d

Step-by-step explanation:

This a trinomial so to find the factorization you need just to solve this equation :

  • x²-2x-48=0
  1. a=1
  2. b=-2
  3. c=-48
  • Δ=(-2)²-4*1*(-48)=196
  • so our trinomial has 2 solutions :
  • \left \{ {{y=\frac{2+\sqrt{196} }{2} } \atop {x=\frac{2-\sqrt{196} }{2} }} \right.

x=8 and y=-6

the factorisation is  f(x)=a* (x-8)(x-(-6))

       the answer is : (x+6) (x-8)

saw5 [17]4 years ago
3 0

Answer: (x-8)(x+6)

Step-by-step explanation: For this equation, you need to figure out what two numbers add up to add -2, and multiply to get -48.

These numbers are +6 and -8. So the factored pair will be (x+6)(x-8)

Hope this helps:)

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You found $6.60 on the ground at school, all in nickels, dimes, and quarters. you have twice as many quarters as dimes and 42 co
Veseljchak [2.6K]
Let the number of nickels found be n, the number of dimes be d and the number of quarters be q.

i) "you have twice as many quarters as dimes and 42 coins in all."

means that 2d=q, and n+d+q=42

we can reduce the number of unknowns by substituting q with 2d:

n+d+q=42
n+d+2d=42
n+3d=42

We can write all n, d and q in terms of d as follows:

there are n=42-3d nickels, d dimes and q=2d quarters.

ii) In total there are $6.60 dollars,

1 nickel     =  5 cent   =  $0.05
1 dime      =  10 cent  =  $0.1
1 quarter   =  25 cent  = $0.25 

thus

(42-3d)*0.05 + d*0.1 +2d*0.25= $6.60

2.1 - 0.15d+0.1d+0.5d=6.60

2.1+0.45d=6.6

0.45d=6.6-2.1=4.5

d=4.5/0.45=10

iii)

so, there are 10 dimes, 2d=2*10=20 quarters and 42-3d=42-3*10=12 nickels.


Answer: 10 dimes, 20 quarters, 12 nickels
8 0
3 years ago
State the domain and range of the relation. Determine whether the relation represents a function.
dangina [55]

Answer:

Domain {-2,0,2}

Range {-2,0,2}

Relation is a Function

Step-by-step explanation:

We are given a relation:

{ (-2,-2) , (0,0) , (2,2) }

Domain can be defined as the all possible values of x for a relation. It is considered as a set of all first values of the ordered pairs of a given relation.

Domain of the given relation is {-2,0,2}

Range can be defined as all possible value of y which corresponds to the values of x in the domain. It is considered as a set of all second values of the ordered pairs of a given relation.

Range of the given relation is {-2,0,2}

A relation is a function if only there is one value of y for each value of x. If in the set of ordered pair of the relation, the value of x gets repeated, then the relation is not a function.

As no values of x are getting repeated, the relation is a function.

4 0
3 years ago
Hey guys can you please help. I been on this problem for so long now
Ostrovityanka [42]

tan(70)=12cm/y The tangent of the angle equals the opposite over the adjacent

y=12cm/tan(70) Isolate y and plug into calculator

y = 4.4 cm (Rounded to the nearest tenth)

6 0
3 years ago
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Find an equation in standard form of the parabola passing through the points (1, -2), (2, -2), (3, -4)?
strojnjashka [21]

9514 1404 393

Answer:

  y = -x^2 +3x -4

Step-by-step explanation:

We are given two points with the same y-value, so we know the axis of symmetry lies halfway between their x-coordinates, at ...

  x = (1 +2)/2 = 3/2

Then the vertex form of the equation can be written ...

  y = a(x -3/2)^2 +k

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We can use two of the points to find the values of 'a' and 'k'.

<u>For (x, y) = (1, -2)</u>

 -2 = a(1 -3/2)^2 +k = a/4 +k

<u>For (x, y) = (3, -4)</u>

  -4 = a(3 -3/2)^2 +k = 9a/4 +k

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So, the vertex form equation is ...

  y = -(x -3/2)^2 -7/4

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Expanding this, we can find the standard form.

  y = -(x^2 -3x +9/4) -7/4)

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5 0
3 years ago
The Substitution Property of Equality states that if LM = 7, and ER + LM = NP, then _____ = NP.
vlabodo [156]

It has been given that ER + LM = NP

and LM = 7

Substituting value of LM in the equation above

ER + 7 = NP

Hence, the answer is NP = ER + 7

7 0
3 years ago
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