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anzhelika [568]
3 years ago
14

How many solutions are there to the equation n^2-13n=-40

Mathematics
2 answers:
Marizza181 [45]3 years ago
8 0
It has 2 real solutions which are 5 and 8
Nitella [24]3 years ago
4 0

Answer:

n = 5

n = 8

Step-by-step explanation:

n^2 - 13n = -40

Equate everything to zero

n^2 - 13n + 40 = 0

Factorise

(n - 5)(n - 8) = 0

Either

n - 5 = 0

Add 5 to both sides

n - 5 + 5 = 0 + 5

n = 5

Or

n - 8 = 0

Add 8 to both sides

n - 8 + 8 = 0 + 8

n = 8

n = 5 or

n = 8

It has two real solutions

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The function f(x) = –x2 – 4x + 5 is shown on the graph. On a coordinate plane, a parabola opens down. It goes through (negative
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

#SPJ1

8 0
1 year ago
How many solutions does this linear system have?
vagabundo [1.1K]
It is no solution, bc the answer is (0,0)
7 0
3 years ago
Read 2 more answers
Plz help i suck art math
True [87]

um 600?? I'm sorry if that's wrong

5 0
3 years ago
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Suppose a deep sea diver dives from the surface to 202 feet below the surface. He then dives down 12 more feet. Use integers to
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Answer:

B.) (-202)+(-12)

Step-by-step explanation:

The undersea level is negative then going under again will produce a completely negative answer.

6 0
2 years ago
Can someone please help me with this problem please?
Svetlanka [38]

Answer:

6.86

Step-by-step explanation:

ask if you dont understand

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