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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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What is the decimal value of 3 quarters and 2 dimes?
Radda [10]

Answer:

0.95

Step-by-step explanation:

Quarter = 0.25

Dime = 0.10

0.25+0.25+0.25= 0.75

0.10+0.10= 0.10

0.10+0.75 = 0.95

6 0
2 years ago
I will mark u brainalist
melisa1 [442]

Answer:

1) Positive

2) Undefined

3) Negative

4) Zero

<h2><u>Hope This Helped!</u></h2>

3 0
2 years ago
The five-number summary suggests that about 75% of salons in Janesville have fewer than how many stylists employed?
Archy [21]

The 5 - number summary :

Min____ Q1 ___ median ____ Q3 ____ max

7 ______ 9 _____ 12 _______ 15 _____ 18

Answer:

Hence, from the 5 number summary, about 75% of sons have fewer than 15 stylist.

Step-by-step explanation:

Explaining the table :

Minimum number of stylist salons have = 7

Maximum number of stylist = 18

Q1 = first quartile, (25 /100) ;About 25% of salons have fewer Than 9 stylist

Q2 = second quartile or median ; About 50% of salons have fewer Than 12 stylist

Q3 gives the 75th percentile value.

Q3 = third quartile (75/100) ; About 75% of salons have fewer Than 15 stylist

6 0
3 years ago
The question is below
Anna35 [415]

Answer:

12) A = 27

13) B =  36

14) C = 25

15) D = 30

Step-by-step explanation:

We need to complete the ratio tables

We are given:

Footballs 15   5   20   C     D

Baseballs A   9    B    45   54

The table shows the ratio of footballs to baseballs.

We are given the ratio \frac{Football}{Baseball}=\frac{5}{9}

All other ratios will also be simplified to get \frac{5}{9}

12) Calculate A

Footballs = 15

Baseballs = A

Common ratio is 5/9, we need to find a number that multiplies by 5 to get 15, same number will be multiplied by denominator to get A.

We know that \frac{5\times3}{9\times3}= \frac{15}{27}

So, A = 27

13) Calculate B

Footballs = 20

Baseballs = B

Common ratio is 5/9, we need to find a number that multiplies by 5 to get 20, same number will be multiplied by denominator to get B.

We know that \frac{5\times4}{9\times4}= \frac{20}{36}

So, B = 36

14) Calculate C

Footballs = C

Baseballs = 45

Common ratio is 5/9, we need to find a number that multiplies by 9 to get 45, same number will be multiplied by numerator to get C.

We know that \frac{5\times5}{9\times5}= \frac{25}{45}

So, C = 25

15) Calculate D

Footballs = D

Baseballs = 54

Common ratio is 5/9, we need to find a number that multiplied by 9 to get 54, same number will be multiplied by numerator to get D.

We know that \frac{5\times6}{9\times6}= \frac{30}{54}

So, D = 30

8 0
3 years ago
Is this a function? Yes or No
tester [92]

Answer:

No

Step-by-step explanation:

Because the number 4 repeats itself in a function no numbers repeat themselves

4 0
3 years ago
Read 2 more answers
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