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natima [27]
3 years ago
7

The ratio of the number of boys to the number of girls at school is 4:5. a. What fraction of the students are boys? b. If there

are 120 boys, how many students are there altogether? *
Mathematics
2 answers:
My name is Ann [436]3 years ago
6 0

Answer:

270

Step-by-step explanation:

120÷4= 30

30×5=150

150+120=270

Sergio [31]3 years ago
4 0

Answer: a. 4/9

b. 270 students

Step-by-step explanation:

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madam [21]

The true statement is:

"The range of the function is all real numbers less than or equal to 9."

<h3>Which statements are true?</h3>

Here we have the quadratic function:

f(x) = -x^2 - 4x + 5

And we want to see which of the given statements are true.

The first one is:

"The domain is al real numbers less than or equal to -2"

This is false, for all quadratic functions the domain is the set of all real numbers (unless the domain is defined).

The second statement is:

" The domain of the function is all real numbers less than or equal to 9."

Also false

Third one:

" The range of the function is all real numbers less than or equal to −2"

The range of a quadratic function with a negative leading coefficient will be the set of all the values smaller than the y-value of the vertex.

In this case, the quadratic function is:

f(x) = -x^2 - 4x + 5

So the vertex is at:

x = 4/(2*-1) = -2\\

Then the y-value of the vertex is:

f(-2) = -(-2)^2 - 4*(-2) + 5 = -4 + 8 + 5 = 9

So the range is the set of all real numbers less than or equal to 9.

So the above statement is false, and the final one:

"The range of the function is all real numbers less than or equal to 9."

Is the true statement.

If you want to learn more about quadratic functions:

brainly.com/question/1214333

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Answer:

Step-by-step explanation:

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Steps:
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Free coins- 1) what is 2+2?
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Answer:

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Step-by-step explanation:

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