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1 year ago

Can someone help me with this

Mathematics

1 answer:

babunello [35]1 year ago

6 0

たはたらさあらたはたはあらたさらやたはまさらたはまりあはらたはたさたはあらあらたはたひたはらたら、らま、らま、らまはたはたはさまらたらまはあはあらたはたひまひはたらたはまはたらまはた

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Find the range of the quadratic function. (y=2x^2-20x+53)

Anit [1.1K]

Answer: The range is y ≥ 3.

Step-by-step explanation:

When we have an equation:

y = f(x)

The range is the set of the possible values of y.

In this case, we have:

y = f(x) = 2*x^2 - 20*x + 53

This is a quadratic equation, and the leading coefficient is positive. This means that the arms of the graph will open upwards.

Then the minimum value of y will be the vale at the vertex.

We know that for a quadratic equation of the form:

a*x^2 + b*x + c

The vertex is at:

x = -b/2a

Then in this case, the vertex will be at:

x = -(-20)/(2*2) = 20/4 = 5

Then the smallest value of this function will be:

f(5) = 2*5^2 - 20*5 + 53 = 3

This is the smallest value that y can take, and y can take any value greater than 3.

Then the range can be written as:

y ≥ 3.

4 0

2 years ago

At central high school there are 398 sophomores who do not own a car and 29 who do there are 64 juniors who own a car and 339 wh

sertanlavr [38]

The proportion of sophomores that do not own a car is equal to 0.93.

<h3>What is ratio?</h3>

Ratio is a mathematical expression that is used to denote the proportion of two (2) or more quantities with respect to one another and the total quantities.

The proportion of sophomores that do not own a car is given by:

Number of sophomores that do not own a car = 398.

Total number of sophomores = 427

Therefore, proportion = 398/427 = 0.93.

The proportion of all students who are seniors who own cars is given by:

Number of seniors who own cars = 123

Total number of students = 1192

Therefore, proportion = 123/1192 = 0.10.

The proportion of non-car owners who are juniors is given by:

Number of juniors who are non-car owners = 339

Total number of students that do not own a car = 976.

Therefore, proportion = 339/976 = 0.35.

Read more on ratio here: brainly.com/question/13513438

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<u>Complete Question:</u>

At Central High School, there are 398 sophomores who do not own a car and 29 who do. There are 64 juniors who own a car and 339 who do not. There are 123 seniors who own a car, compared to 239 who do not. The above is a two-way table depicting this situation. Complete the following statements below by finding the ratio, then converting to a decimal. Round to the nearest hundredth.

The proportion of sophomores that do not own a car is?

The proportion of all students who are seniors who own cars is?

The proportion of non-car owners who are juniors is?

3 0

1 year ago

Teresa says that the 3 most frequent measurements in order from shortest to longest are 3 1/4 inches,3 2/4 inches,and 3 3/4 inch

Blizzard [7]

Answer: We agreed with this.

Step-by-step explanation:

Since we have given that

$3\dfrac{1}{4}\ inches,\ 3\dfrac{2}{4}\ inches,\ 3\dfrac{3}{4}\ inches$

As we know that

$3\dfrac{1}{4}=\dfrac{13}{4}\ inches$

$3\dfrac{2}{4}=\dfrac{14}{4}\ inches$

$3\dfrac{3}{4}=\dfrac{15}{4}\ inches$

So, $\dfrac{13}{4}$

Hence, we agreed with this.

6 0

2 years ago

Can someone help me?

Nezavi [6.7K]

There are 1+3 = 4 people from brazil (focus on row2)
There are 4+3+2 = 9 people who scored exactly 85 points (look at column 2)

So there are 4+9 = 13 people who are from brazil or scored exactly 85 points. Subtract out those who fit both criteria. So we'll subtract off 3 people
13-3 = 10

There are 10 people who fit the criteria out of 19 total. The 19 is from adding up all the values in the table.

Divide the two values to get 10/19

Answer: 10/19

5 0

2 years ago

Simplify the expression.

dsp73

Answer:b

Step-by-step explanation:

3 0

3 years ago

Read 2 more answers