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WINSTONCH [101]
3 years ago
13

Identify the turning point of the function f(x)= x^2 -2x + 8 by writing its equation in vertex form . show work

Mathematics
1 answer:
Snowcat [4.5K]3 years ago
7 0
The turning point of a parabola is its vertex.

f(x)=x^2-2x+8\\
f(x)=x^2-2x+1+7\\
f(x)=(x-1)^2+7
The vertex is (1,7)
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The width of the rectangle
Nikolay [14]

Answer:

84cm^2

Step-by-step explanation:

P=2l+2w

We are given,

P=40cm

l=2w+2

Plug these into the first formula and solve for the dimensions,

length and width, of the rectangle:

40=2(2w+2)+2w              Simplify

40=4w+4+2w

40=6w+4

36=6w

6=w OR the width is 6cm, therefore,

the length is

l=2(6)+2

l=14cm

To calculate the area of a rectangle, A=lw,

plug the length,14cm, and the width, 6cm, into this formula

A=(14)(6)

A=84cm2 OR the area of the rectangle is 84cm^2

7 0
2 years ago
A medical company tested a new drug on 100 people for possible side
zzz [600]

Answer:

Step-by-step explanation:

The given information is expressed as

Side effect no side effect total

Adult 7 43 50

Children 22 28 50

Total 29 71 100

Probability is expressed as

Number of favorable outcomes/number of total outcomes

For the probability that an adult has side effects,

Total number of outcomes = 50

Number of favorable outcomes = 7

Probability that an adult has side effects = 7/50 = 0.14

For the probability that a child has side effects,

Total number of outcomes = 50

Number of favorable outcomes = 22

Probability that an adult has side effects = 22/50 = 0.44

Therefore, it is more likely that a child has side effects compared to an adult

5 0
3 years ago
Simplify.<br>(-w^2 + 4w - 7)+(2w+3w+6)​
stiv31 [10]

Answer:

-w2 + 9w - 1

..............

6 0
3 years ago
your school is setting up a row of 5 tables for a craft fair. each table is 72 inches long. the space between each pair of neigh
juin [17]

The total space needed is 600 feet. Because 5 tables times 72 feet is 360 and 5 tables times 48 feet a part is 249. You add them and it comes out to be 600. It should be worked out like this 5(72+48)

6 0
3 years ago
Read 2 more answers
Take some time to fill in your notes, the area that is not shown in this video. Fill in the table with the values you think are
joja [24]

The x-values are the heartbeat(s) and the y-values are the time(s)

<h3>How to determine the x and y values?</h3>

The variables are given as:

Time(s) and Heartbeat(s)

As a general rule, the action that is being done is the independent variable.

The action here is the heartbeat.

So, the x-values are the heartbeat(s) and the y-values are the time(s)

A possible value of this is;

x = 100, y = 60 seconds

So, the ordered pair is (100,60)

When represented as ratio, we have;

Ratio = 60/100

Simplify

Ratio = 0.6 heartbeat per second

Read more about ordered pairs at:

brainly.com/question/8406931

#SPJ1

8 0
1 year ago
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