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umka2103 [35]
3 years ago
8

I need to know what this table is cause I need the answer

Mathematics
2 answers:
aivan3 [116]3 years ago
6 0

Answer:

f(-2) = 1

Step-by-step explanation:

Actually, you need to know how to use this table to find the value of the function defined by the table when x = -2.  

Look in the first column of the table for x = -2.  When x = -2, f(x) = 1.  This is the desired result ("What is f(-2)?")

olga2289 [7]3 years ago
4 0

Answer:

f(- 2) = 1

Step-by-step explanation:

f(- 2) means what is the value of f(x) when x = - 2

From the table we can see that when x = - 2 f(x) = 1

Hence

f(- 2) = 1

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I believe it is 60 inches
3 0
2 years ago
Please help me with this thanks​
Karolina [17]

Answer:

agidls

Step-by-step explanation:

6 0
2 years ago
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Solve the equation by graphing. If exact roots cannot be found, state the consecutive integers between which the roots are locat
zavuch27 [327]

Answer:

The equation contains exact roots at x = -4 and x = -1.

See attached image for the graph.

Step-by-step explanation:

We start by noticing that the expression on the left of the equal sign is a quadratic with leading term x^2, which means that its graph shows branches going up. Therefore:

1) if its vertex is ON the x axis, there would be one solution (root) to the equation.

2) if its vertex is below the x-axis, it is forced to cross it at two locations, giving then two real solutions (roots) to the equation.

3) if its vertex is above the x-axis, it will not have real solutions (roots) but only non-real ones.

So we proceed to examine the vertex's location, which is also a great way to decide on which set of points to use in order to plot its graph efficiently:

We recall that the x-position of the vertex for a quadratic function of the form f(x)=ax^2+bx+c is given by the expression: x_v=\frac{-b}{2a}

Since in our case a=1 and b=5, we get that the x-position of the vertex is: x_v=\frac{-b}{2a} \\x_v=\frac{-5}{2(1)}\\x_v=-\frac{5}{2}

Now we can find the y-value of the vertex by evaluating this quadratic expression for x = -5/2:

y_v=f(-\frac{5}{2})\\y_v=(-\frac{5}{2} )^2+5(-\frac{5}{2} )+4\\y_v=\frac{25}{4} -\frac{25}{2} +4\\\\y_v=\frac{25}{4} -\frac{50}{4}+\frac{16}{4} \\y_v=-\frac{9}{4}

This is a negative value, which points us to the case in which there must be two real solutions to the equation (two x-axis crossings of the parabola's branches).

We can now continue plotting different parabola's points, by selecting x-values to the right and to the left of the x_v=-\frac{5}{2}. Like for example x = -2 and x = -1 (moving towards the right) , and x = -3 and x = -4 (moving towards the left.

When evaluating the function at these points, we notice that two of them render zero (which indicates they are the actual roots of the equation):

f(-1) = (-1)^2+5(-1)+4= 1-5+4 = 0\\f(-4)=(-4)^2+5(-4)_4=16-20+4=0

The actual graph we can complete with this info is shown in the image attached, where the actual roots (x-axis crossings) are pictured in red.

Then, the two roots are: x = -1 and x = -4.

5 0
3 years ago
An airplane ascended into the sky to a steady altitude of 35000 feet. The same plane descended to a steady altitude of 32000 fee
love history [14]

Answer:

3000 feets

Step-by-step explanation:

Given that :

Initial Ascent to steady altitude = 35,000 feets

Descent to steady altitude = 32,000 feets

Number of feets the plane descend :

(Initial ascent to steady altitude - descent to steady altitude)

(35000 - 32000) feets = 3,000 feets

6 0
2 years ago
At a dinner, one meal cost $22 and a sales tax of $1.87 was added to the bill.
raketka [301]

Answer:

5.61; 8.5 %

Step-by-step explanation:

Tax = $1.87 per $22 meal

For a $66 meal,

Tax = 66 × 1.87/22

Tax = 3 × 1.87

Tax = $5.61

=====

Tax rate = 1.87/22 × 100

Tax rate = 0.085 × 100

Tax rate = 8.5 %

3 0
2 years ago
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