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liberstina [14]
3 years ago
12

Which graph represents the function f(x) = −|x − 2| − 1? Image for option 1 Image for option 2 Image for option 3 Image for opti

on 4

Mathematics
1 answer:
vesna_86 [32]3 years ago
4 0

Answer:

The graph in the attached figure

Step-by-step explanation:

we have

f\left(x\right)=-\left|x-2\right|-1

The function represents an inverted V-shaped graph

The vertex of the function is the point (2,-1)

The y-intercept of the function is the point (0,-3)

The domain is all real numbers -----> (-∞,∞)

The range is all real numbers less than or equal to -1 ----> (-∞,-1]

Using a graphing tool

The graph in the attached figure

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nadya68 [22]

Answer:

x=14.87

Step-by-step explanation:

What we want to use is pythagoras theorem:

a^2+b^2=c^2, where c is the hypotenuse

10^2+11^2=x^2

221=x^2

x=\sqrt{221}

x=14.866...

x=14.87

4 0
2 years ago
Rewrite the following equation in slope-intercept form.
Tamiku [17]

Hi there!

Slope intercept form is y=mx+b. To do this, we just need to isolate y. This can be done by first moving everything that doesn't involve a y to the other side, and then dividing by the coefficient:

16x+17y=-2

17y=-2-16x

y=-\frac{2}{17}-\frac{16}{17}x

And there you have your answer, just above.

Hope this helps, feel free to let me know if you have any additional questions about this specific problem!

8 0
3 years ago

pashok25 [27]
To answer this, set up a system of equations. What we know is that

5x + 2y = 100
And...
x+y=38

x represents the unknown number of 5 points questions
y represents the unknown number of 2 point questions

In my opinion the easiest way to solve this is to use substitution (that is when you find out the value of one variable, either x or y, and substitute that value as the variable).

So,

x+y=38

Subtract x from both sides

y=38-x

Now, plug (38-x) in as y in the other equation.

5x + 2(38-x) = 100
5x + 76-2x= 100
3x+76=100
3x=24
x=8

Now that you know that x=8, you can solve for y.

5x+2y=100
5(8)+2y=100
40+2y=100
2y=60
---- ------
2 2
y=30


X=8
Y=30

There are 8 five point questions on the test and 30 two point questions on the test

8 0
3 years ago
If f(x) = [X1 + 9 and g(x) = -6, which describes the value of (f + g)(x)?
Sergio [31]

Answer:

(F+g)(x) greater than or equal to 3 for all values of x

Step-by-step explanation:

5 0
3 years ago
Solve D=RT for D, if T=5hrs and R=65mph
Iteru [2.4K]
Distance = rate * time
Distance = 65 * 5
Distance = 325 miles

3 0
3 years ago
Read 2 more answers
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