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ikadub [295]
3 years ago
14

The functions f(x) = (x + 1)2 − 2 and g(x) = -(x − 2)2 + 1 have been rewritten using the completing-the-square method. Is the ve

rtex for each function a minimum or a maximum? Explain your reasoning for each function
Mathematics
1 answer:
Ksenya-84 [330]3 years ago
7 0

Answer:

The negative outside the parentheses indicates that the vertex is a maximum

f(x) has a minimum vertex

g(x) has a maximum

Step-by-step explanation:

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1. Simplify the following by combining like terms (5 points).<br> 4x-10+14+7x-10x+2
ycow [4]

Answer:

X+6

Step-by-step explanation:

Combined like terms.

7 0
3 years ago
Read 2 more answers
Triangle A″B″C″ is formed by a reflection over x = −1 and dilation by a scale factor of 4 from the origin. Which equation shows
juin [17]

Answer:

\frac{AB}{A''B''}  = \frac{1}{4}

Step-by-step explanation:

Given the information:

  • A'B'C' reflection over x = −1
  • dilation by a scale factor of 4 from the origin

<=> the two triangles are similar to each other, triangles are similar if they have the same shape, but can be different sizes, so  A″B″C″ is 4 time bigger than ABC

=> the relationship between ΔABC and ΔA″B″C″

= \frac{AB}{A''B''}  = \frac{1}{4}

We choose C.

Hope it will find you well.

7 0
3 years ago
214 people used a public swimming pool. $1.50 for kids and $2.25 for adults. The receipt totaled to $390 How many children and h
zysi [14]

Answer:the number of kids that used the public pool that day is 122

the number of adults that used the public pool that day is 92

Step-by-step explanation:

Let x represent the number of kids that used the public pool that day.

Let y represent the number of adults that used the public pool that day.

214 people used a public swimming pool. This means that

x + y = 214

1.50 for kids and $2.25 for adults. The receipt totaled to $390. This means that

1.5x + 2.25y = 390 - - - - - - - - - -1

Substituting x = 214 - y into equation 1, it becomes

1.5x

1.5(214 - y) + 2.25y = 390

321 - 1.5y + 2.25y = 390

- 1.5y + 2.25y = 390 - 321

0.75y = 69

y = 69/0.75 = 92

Substituting y = 92 into x = 214 - y, it becomes

x = 214 - 92 = 122

5 0
3 years ago
In a 3 hour examination of 350 questions, there are 50 mathematics problems. if twice as much time should be allowed for each ma
Margarita [4]

Answer: 7 minutes

Step-by-step explanation:

350/50=7

3*2.3333=7

3 0
4 years ago
Find the area of the shaded region. Use 3.14 for pi.
daser333 [38]

Answer:

326

Step-by-step explanation:

First you find the area of the triangles. Since squares have equal sides we know that the triangle has a side of 20 and 12. We plug this information into the formula A=20x12/2 which equal 120 but since we have 2 triangles we multiply by 2 and get 240. Then we find the area of the square which is 400 when you multiply 20x20. Then you find the area of the circle which is 3.14x10^2 which equals 314. You add 240 and 400 to get 640. You subtract 460 from 314 and get 326.

4 0
3 years ago
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