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Bond [772]
3 years ago
5

Graph y = x^2 - 4x + 1 on your paper and find the vertex.

Mathematics
2 answers:
Readme [11.4K]3 years ago
8 0

Answer:

Step-by-step explanation:

Here is a graph that came from Desmos which is a computer program that you can download. There is no cost and you can use it to graph questions that you are given. It least it will tell you what points you should plot.

The two roots are pretty exact to the hundredth place which Desmos will accurately calculate. The vertex is whole numbers which helps.

rodikova [14]3 years ago
5 0

Answer:

the vertex is (2,-3)

Step-by-step explanation:

i used a graphing calculator

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An experiment consists of rolling two fair number cubes. What is the probability that the sum of the two numbers will be >3
liraira [26]

Answer:   \bold{\dfrac{5}{12}}

<u>Step-by-step explanation:</u>

greater than 3 means the sum is either 4, 5, or 6.

There are 15 permutations that meet the criteria:

(1, 3), (1, 4), (1, 5), (1,6)

(2, 2), (2, 3), (2, 4), (2, 5), (2,6)

(3, 1), (3, 2), (3, 3), (3, 4), (3, 5), (3,6)

(4, 1), (4, 2), (4, 3), (4, 4), (4, 5), (4,6)

(5, 1), (5, 2), (5, 3), (5, 4), (5, 5), (5,6)

(6, 1), (6, 2), (6, 3), (6, 4), (6, 5), (6,6)

There are 6²= 36 total permutations for 2 dice.

Probability=\dfrac{\#\ of\ permutations> 3}{total\ \#\ of\ permutations}\\\\.\qquad \qquad =\dfrac{15}{36}\\\\.\qquad \qquad =\dfrac{5}{12}\\\\

3 0
3 years ago
Find the length of the missing side in the figure below. a = _______ cm.
WITCHER [35]

Answer:

\frac{2 \sqrt{177} }{5}

or

5.32cm correct to 2 decimal places

Step-by-step explanation:

This is a right angled triangle from what I know so we have to apply pythagoras theorem.

{7.1}^{2}  =  {a}^{2}  +  {4.7}^{2}

we need to rearrange this to find a²

{a}^{2}  =  {7.1}^{2}  -  {4.7}^{2}

a =  \sqrt{ \frac{708}{25} }

This can either be written as a fraction or decimal.

a =  \frac{2 \sqrt{177} }{5}

OR

a = 5.32

correct to 2 decimal places

5 0
1 year ago
What is the radius of a hemisphere with a volume of 94 m", to the nearest tenth of a<br><br> meter?
Andrej [43]

Answer:

3.553774

Step-by-step explanation:

\frac{2}{3} \pi {r}^{3} = 94

h

works out to 3.553774

4 0
2 years ago
The function f(x) = 32,000(.723)x models the value of the car after x years. What is the percent change?
Zielflug [23.3K]
.723 is the percentage change, just move the decimal over 2 places. 72.3%
6 0
3 years ago
What requirements must be met by a mathematical system in order to be a field?
Romashka-Z-Leto [24]

Answer:

Step-by-step explanation:

n mathematics, a set having an addition that must be commutative, and associative, and a multiplication that must be associative

5 0
3 years ago
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