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aksik [14]
3 years ago
8

What’s the vertex of #8 ? Please help!!!!

Mathematics
1 answer:
ANTONII [103]3 years ago
6 0

y = x^2 + 2x + 1

It's already a square; we don't need to add anything to complete the square.

y = (x + 1)^2

That's a vertex at x = -1.   The corresponding y is y=0.

Answer: Vertex at (-1,0)

As for the other questions cut off there, the axis is the vertical  line x = -1 and the range is y ≥ 0.

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A taxi cab driver charges a $2.00 initial fee and $1.75 for each mile.
umka21 [38]

1. She can travel 18 miles. Subtract 35 - 2 (initial fee) to have 33. divide 33 by 1.75 to get 18.85. To check how much her total would be, use inverse operations. 18.85 * 1.75 = 32.9875. 32.9875 + 2 = 34.9875. It is barely under $35 but still in her budget.

2. 20m * $1.75 = $35. $70 - $35 = $35. Yes, she can cover the fare. Samantha has more than needed. She can afford the taxi fare and still have money left for future use.

7 0
3 years ago
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Just need help with #6
Anarel [89]

Answer:

Step-by-step explanation:

a) The rate of change is referred to as slope

Slope = change in value of y on the vertical axis / change in value of x on the horizontal axis

change in the value of y = y2 - y1

Change in value of x = x2 -x1

From the graph,

y2 = 160 = final value of y

y 1 = 260 = initial value of y

x2 = 10 = final value of x

x1 = 5 = initial value of x.

Slope = (160 - 260)/10 - 5)=-100/5

Slope = -20

b) initial height of the biker above the Canyon was 360 feets. It is reducing as the time is increasing.

c) it took the hiker 18 minutes to reach the Canyon floor.

d) After 9 minutes, the hiker was 180 feets above the Canyon floor

e) it took 7 minutes for the hiker to reach 220 feets above the Canyon floor.

f) The domain is the set of all possible values of the independent variable and the independent variable is time.

The time between which the hiker was at the maximum height and the minimum height lies between 18 minutes and 0 minutes.

The domain is 0 lesser than or equal to t lesser than or equal to 18.

The range is the set of all possible values of the dependent variable and the dependent variable is height of the hiker above the Canyon. The maximum height of the hiker was 360 feet and the minimum height of the hiker was 0 feet. Let the height be h.

The range is 0 lesser than or equal to h lesser than or equal to 360

3 0
3 years ago
how many ounces of water must be added 100 oz. of 60% iodine to produce a 55% solution ? round your answer to the nearest hundre
algol [13]

Answer:

10 ounces

Step-by-step explanation:

8 0
2 years ago
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What is the equation of the line expressed in slope-intercept form?
Alisiya [41]
(x,y)
x=how far to the right
y=how far up
ok so
y=mx+b
m=slope
b=y intercept or where the line intercept the y axis

it looks like the line intercept the y axis at 2 high so
y=mx+2
we look at our options and we see that there is only 1 equation that has y=mx+2
that is B
B is the answer
4 0
3 years ago
The answer to the problem
larisa86 [58]

She puts 8% of her salary in, so multiply her pay by 8% to get her yearly amount she saves:

45000 x 0.08 = $3,600 per year.

The company puts 6% of that in the account:

3600 x 0.06 = $216

So per year 3600 + 216 = $3,816 is saved.

3,816 x 2 = $7,632 is the 2 year total.

The answer is A.

6 0
3 years ago
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