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babymother [125]
3 years ago
5

4|w − 5| = 4

Mathematics
1 answer:
anastassius [24]3 years ago
7 0

Answer:

   w = 9 or  w = 1

Step-by-step explanation:

4|w − 5| = 4

Divide both sides by 4

w - 5 = 4                         w - 5 = -4

   + 5    + 5                          + 5     + 5

     w = 9                             w = 1

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11. What is the location of the vertex of the parabola defined by f(x) = −3x2 − 18x − 35 and in what direction does the parabola
lbvjy [14]

11. The given parabola has equation: f(x)=-3x^2-18x-35

We complete the square to have the function in the vertex form: f(x)=-3(x^2+6x)-35

f(x)=-3(x^2+6x+9)+3*9-35

f(x)=-3(x^2+6x+9)+27-35

f(x)=-3(x+3)^2-8

The vertex is (-3,-8), the graph opens down because a=-3<0

Ans: B. Vertex: (−3, −8), opens downward

12.  We know the graph of y=x^2  is a parabola that opens up and has its minimum point at the origin.

The range of this function is y\ge 0

A straight line that has its y-intercept below the x-axis (y=3x-6) will not intersect y=x^2 and hence will form a system with no solution.

Ans: D. y equals x squared, y equals 3x minus 6

 14.  We want to find the zeros of x^2+21x=5x-63

x^2+21x-5x+63=0

x^2+16x+63=0

The factored form is (x+7)(x+9)=0

x=-7\:or\: x=-9

Ans: C. x = −7, −9

15. The given quadratic expression is 6x^2-17x+10

We split the middle term to obtain:

6x^2-12x-5x+10=0

We factor by grouping to get:

6x(x-2)-5(x-2)=0

(x-2)(6x-5)=0

Ans: D. 6x − 5

8 0
4 years ago
Read 2 more answers
Let S be the universal set, where: S={1,2,3,...,18,19,20}
just olya [345]

Answer:

A∪B = {1,2,3,4,5,6,7,8,9,11,13,14,15,16,18,20}

A∩B = {1,5,6,7,8,9,11,14,15}

Step-by-step explanation:

A∪B is the elements in A or B. So, for this question, we just need to find the numbers that are in A or B. Remember not to add anything that is not in set A or B and not write the same number twice.

A∩B is the elements in A and B. Therefore, for this question, we just need to find the numbers which appeared in both set A and B.

Hope this helps :)

3 0
3 years ago
Read 2 more answers
25 POINTS <br> Solve this equation PLEASE AND STEPS<br> 4=1/2(2x+4+x)(x-2)
Keith_Richards [23]

Answer:

x=−2, 2.6666

Step-by-step explanation:

Let's solve your equation step-by-step.

4=(1/2(2x+4+x))(x−2)

Step 1: Simplify both sides of the equation.

4=3/2 x2−x−4

Step 2: Subtract 3/2x^2-x-4 from both sides.

4−(3/2 x2−x−4)=

3/2 x2−x−4−(3/2 x2−x−4)

−3/2 x2 +x+8=0

For this equation: a=-1.5, b=1, c=8

−1.5x2+1x+8=0

Step 3: Use quadratic formula with a=-1.5, b=1, c=8.

x=−b±√b2−4ac

2a

x=−(1)±√(1)2−4(−1.5)(8)

2(−1.5)

x=−1±√49

−3

x=−2,2.66666666666666666666666666666

5 0
3 years ago
How many lines of symmetry does figure have
Sever21 [200]
3 lines of symmetry
4 0
3 years ago
POINTS!!!!!!
Mamont248 [21]

Answer:

  7.7 seconds

Step-by-step explanation:

Put the given height into the formula and do the arithmetic.

  t = √(290.57/4.9) = √59.3 ≈ 7.7 . . . seconds

The object will take 7.7 seconds to hit the ground.

7 0
3 years ago
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