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Lena [83]
3 years ago
10

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

open?
A. Vertex: (2, −12), opens upward


B. Vertex: (−3, −8), opens downward


C. Vertex: (3, 8), opens downward


D. Vertex: (−3, 8), opens downward



12. Graph the following systems of equations. Which system has no solution?


A. y equals x squared, y equals 3x plus 3


B. y equals x squared, y equals 3x plus 1


C. y equals x squared, y equals 3x


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



14. Determine the zeros of x2 + 21x = 5x − 63.


A. x = 7, −9


B. x = −7, 9


C. x = −7, −9


D. x = 0, −7, −9



15. What is one factor of 6x2 − 17x + 10?


A. 3x − 5


B. 4x − 3


C. 8x + 3


D. 6x − 5



16. What are the zeros for the function f(x) = 2x2+ 20x + 68 and how many times does the graph cross the x-axis?


A. x = −5 ± 3i, never


B. x equals start fraction five over two end fraction plus or minus start fraction one over two end fraction i comma two times


C. x = 5 ± 14i, two times


D. x = −5 ± i, one time



17. When solving x2 + 10x − 7 = 0 by completing the square, which of the following is a step in the process?


A. (x − 5)2 = 32


B. (x + 5)2 = 18


C. (x − 5)2 = 18


D. (x + 5)2 = 32



19. Solve 2x2 + 5x − 6 = 0 using the quadratic formula.


A. x equals start fraction negative five plus or minus square root of 23 end square root over four end fraction


B. x equals start fraction five plus or minus square root of 23 end square root over four end fraction


C. x equals start fraction negative five plus or minus square root of 73 end square root over four end fraction


D. x equals start fraction five plus or minus square root of 73 end square root over four end fraction



22. Solve 2x2 + 16x + 27 = 0 by completing the square.


A. x equals four plus or minus square root of start fraction five over two end fraction end square root


B. x equals four plus or minus square root of five end square root


C. x equals negative four plus or minus square root of start fraction five over two end fraction end square root


D. x equals negative four plus or minus square root of five end square root



23. Use completing the square to rewrite y = x2 + 4x − 13 in vertex form, then identify the maximum or minimum value.


A. Minimum: −17


B. Maximum: −2


C. Minimum: −13


D. Maximum: −13

Mathematics
2 answers:
lbvjy [14]3 years ago
8 0

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

mart [117]3 years ago
4 0

the Answer isss:

b

d

c

d

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2 What is the range of the numbers 11, 24, 37, 44, and 62? 24.44 11372 A6 A А 62 B. 52 С 51 D 49​
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Step-by-step explanation:

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5 0
3 years ago
Solve the system of linear equations by elimination.<br> 5 - 2y = -8<br> 4x – 4y= 8
Alenkasestr [34]

Answer:

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Step-by-step explanation:

Hope this helps!

6 0
2 years ago
Answer this please it’s for algebra 2
Sergeu [11.5K]

Part a)

P(junior) = (number of juniors)/(number total)

P(junior) = 235/705

P(junior) = 1/3 exactly

P(junior) = 0.33333 approximately

======================================

Part b)

P(freshman and LG) = (number of freshman who have LG)/(number total)

P(freshman and LG) = 70/705

P(freshman and LG) = 14/141 exactly

P(freshman and LG) = 0.09929 approximately

======================================

Part c)

n(junior) = number of juniors = 235

n(samsung) = number of people who have samsung = 274

n(junior and samsung) = number of juniors who have samsung = 93

----

n(junior or samsung) = n(junior)+n(samsung)-n(junior and samsung)

n(junior or samsung) = 235+274-93

n(junior or samsung) = 416

----

P(junior or samsung) = n(junior or samsung)/n(total)

P(junior or samsung) = 416/705 exactly

P(junior or samsung) = 0.59007 approximately

======================================

Part d)

n(sophomore and apple) = number of sophomores who have apple

n(sophomore and apple) = 80

n(apple) = number of students who have apple

n(apple) = 261

P(sophomore | apple) = n(sophomore and apple)/n(apple)

P(sophomore | apple) = 80/261 exactly

P(sophomore | apple) = 0.30651 approximately

======================================

Part e)

define the events

A = junior who has apple

B = junior who has samsung

C = person is a junior

n(A or B) = number of juniors who have apple or samsung

n(A or B) = n(A) + n(B) ... A and B assumed mutually exclusive

n(A or B) = 87+93

n(A or B) = 180

n(C) = 235

P( (Apple or Samsung) | Junior ) = n(A or B)/n(C)

P( (Apple or Samsung) | Junior ) = 180/235

P( (Apple or Samsung) | Junior ) = 36/47 exactly

P( (Apple or Samsung) | Junior ) = 0.76596 approximately

4 0
3 years ago
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