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Tju [1.3M]
3 years ago
12

Factor:

Mathematics
1 answer:
Darina [25.2K]3 years ago
5 0
Z4+x33[23+32)
JanalN
Uhajaia
Jain
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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
2 years ago
Please help me and explain this.
Zina [86]
You are supposed to answer where the function, h(x), is decreasing. In other words, where is “y” decreasing.

In this graph, I believe it would be from (-3,4)U(8,infinity). I hope this helps.
8 0
3 years ago
WILL GIVE BRAINLET<br><br> 5/6 + 7 1/3
Tems11 [23]

Answer:

It would be 8 1/6 im 90% sure

Step-by-step explanation:

6 0
3 years ago
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The values of x and y vary directly
ss7ja [257]

Answer:

y = (1/4)x

Step-by-step explanation:

"Direct variation" here signifies y = kx, where k is the constant of proportionality.

Then y = kx.  Here we are to find k using the info that x = 12 and y = 3:

3 = k(12), or

k = 3/12, or k = 1/4

Then y = (1/4)x

6 0
3 years ago
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Subtract -7n +2 from 2n - 1
Irina18 [472]
2n - 1    -      -7n + 2     You combine like terms with subtracting
2n - 7n = -5n
-1 - 2 = -3
So -7n + 2     -     2n - 1 = -5n - 3
4 0
3 years ago
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