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murzikaleks [220]
2 years ago
11

The graph of y = f(x) is shown. a) Find f(0) 4- 3. b) Give the roots of f(x) = 0

Mathematics
1 answer:
Fiesta28 [93]2 years ago
5 0

Answer:

f(0) = 2

Roots are;

-2 and -1

Step-by-step explanation:

F(0) simply refers to the y-values when x = 0

This is the point at which the graph crosses the y-axis

the value here is 2

To

find the roots of f(x) , we simply find the points at which the plot crosses the x-axis

we have this at x = -2 and x = -1

These are what represents the roots of the equation

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I know I need to use the change of base
Zinaida [17]
The change of base formula looks like this:
                                           log x
(log to the base b of ) x = -----------    (you could also use ln instead of log)
                                            log b

                                                       log 40       1.602
Then (log to the base 7 of) 40 = ------------ = ------------- = 1.896   (answer)
                                                        log 7         0.8451

check (on calculator):    7^1.896 = 40.023   (close enough to 40 to verify 
                                                                     that this method "worked")
7 0
3 years ago
NEEDED BY TOMORROW!
marissa [1.9K]

Answer:

0.375, Terminating

Step-by-step explanation:

Mackenzie has 32 books and 12 of which are by her favorite author.

One of the easier ways to convert something to a decimal is to first start as a fraction. We need to have it be the number of books by her favorite author (12) out of the total number of books that she owns (32)

This in the form of a fraction would be \frac{12}{32}

Now, let us reduce this fraction.

Both terms can be divided by 4

\frac{12}{32}/\frac{4}{4} \\\\\frac{3}{8}

Recall that \frac{1}{8} =0.125

This means that

\frac{3}{8} =3*0.125=0.375

As you can see. this decimal stops after 3 places, which means that it is terminating.

7 0
3 years ago
Sine, cosine, and tangent to calculate the height of the buildings in the diagram below.
DiKsa [7]

Answer: Around 68.0858 m

Step-by-step explanation:

  • Set the height of 37°-53°-90° triangle as x
  • Set the height of 50°-40°-90° triangle as y
  • The horizontal side both triangles share = 35

To find x                            To find y  

tan(37)=\frac{x}{35} \\\\35tan(37)=x\\\\x=26.37439...                     tan(50)=\frac{y}{35} \\\\35tan(50)=y\\\\y=41.7113757...

To find the height of the building, add the x-value and y-value:

x+y=26.3744+41.7114=68.0858  

<em>I hope this is correct o_o</em>

7 0
3 years ago
What is the volume of this sphere?
aev [14]

Answer:

choice 3) 11,488.21 cm³

Step-by-step explanation:

r= 28/2 = 14

volume = 4/3πr3 = 4/3(3.14)(14³) = 11,488.21 cm³

5 0
2 years ago
95-a(b+c) when a=9, b=3, c =7.4
AleksAgata [21]

Answer:

95-9 (3+7)

95-9 (10)

86 (10)

= 8600

Step-by-step explanation:

I hope this was helpful!

God bless you!

6 0
2 years ago
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