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Nesterboy [21]
3 years ago
9

Use the functions f(x) and g(x). to evaluate below.

Mathematics
1 answer:
svet-max [94.6K]3 years ago
6 0

Given the graph and the table of functions, f(x) and g(x), the following <em>evaluated</em>:

a. f(0) = 9

b. g(2) = -3

c. f(-1) = 5

Given the functions, f(x) and g(x), the following can be <em>evaluated</em>:

<em><u>a. Find f(0):</u></em>

Using the table given, what we need to determine is the of the output, f(0) that an input value, x = 0, will give.

  • From the table, we see that when x = 0, f(x) =9.

<em>Therefore,</em>

f(0) = 9

<em><u>b. Find g(2):</u></em>

From the graph, find the corresponding value of g(x) that corresponds with x = 2.

  • From the graph, when x = 0, g(x) = -3

<em>Therefore,</em>

g(2) = -3

<em><u>c. Find f(-1):</u></em>

From the table, find the corresponding value of f(x) that corresponds with x = -1.

  • From the table, when x = -1, f(x) = 5

<u />

<em>Therefore,</em>

f(-1) = 5

Learn more here:

brainly.com/question/19639627

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seraphim [82]
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Also, angle O from one of the triangles is equal to angle O of the other triangle because they are the same angle.

Thus, the two triangles are similar by SAS (side-angle-side) similarity theorem. This theorem is quite similar to the SAS congruence theorem.

To make a similarity statement, we just have to match corresponding parts when naming the triangle.

Similarity statement: ΔOJK~ΔOMN
3 0
3 years ago
7/10 + 2/10 , 13/16+ 2/16 , 4/5 + 1/5 , 7/15 + 2/15 , 9/20 + 3/20 , 5/8 + 1/8 . All in simplist form.
blondinia [14]

Hello!

<h3><em><u>Answers</u></em></h3>

1. \frac{7}{10} + \frac{2}{10} = \frac{9}{10}  Simplest form: \frac{9}{10}

2. \frac{13}{16} + \frac{2}{16} = \frac{15}{16}  Simplest form: \frac{15}{16}

3. \frac{4}{5} + \frac{1}{5} = \frac{5}{5}  Simplest form: \frac{1}{1}

4. \frac{7}{15} + \frac{2}{15} = \frac{9}{15}  Simplest form: \frac{3}{5}

5. \frac{9}{20} + \frac{3}{20} = \frac{12}{20}  Simplest form: \frac{3}{5}

6. \frac{5}{8} + \frac{1}{8} = \frac{6}{8}  Simplest form: \frac{3}{4}

<h3><em><u>Explanation:</u></em></h3>

Simply add the numerators of the like fractions together. The denominators remain the same.

4 0
3 years ago
Simplify this equation<br> (3X^2+21X+33)/(X+5)
Amiraneli [1.4K]

Answer:

(3x^2+21x+33) / (x+5)

You can use long division:

(3x^2+21x+33)

--------------------

       (x+5)

=3x+6+ 3/x+5

Step-by-step explanation:

6 0
3 years ago
Help anyone can help me do the question 4,I will mark brainlest.​
nasty-shy [4]

Answer:

Hello,

Step-by-step explanation:

A=(1,2)\\B=(0,-1)\\\overrightarrow{AB}=((0,-1)-(1,2)=(-1,-3)\ ||\overrightarrow{AB}||^2=1+9=10\\\overrightarrow{BC}=((3,-2)-(0,-1)=(3,-1)\ ||\overrightarrow{BC}||^2=9+1=10\\\\Triangle\ is\ isosceles.\\\\\overrightarrow{AB}.\overrightarrow{BC}=(-1,-3)*\left[\begin{array}{c}3\\-1\end{array}\right] =-3+3=0\\\\Triangle \ is\ right.\\\\

8 0
3 years ago
Read 2 more answers
As part of a research project on student debt at TWU, a researcher interviewed a sample of 35 students that were chosen at rando
Inga [223]

Answer:

Option a is right

Step-by-step explanation:

Given that as part of a research project on student debt at TWU, a researcher interviewed a sample of 35 students that were chosen at random concerning their monthly credit card balance.

Sample average = 2573

Variance = 4252

Sample size = 35

STd deviation of X = \sqrt{4252} \\=65.21

Score of student selected at random X=1700

Corresponding Z score = \frac{1700-2573}{65.201} \\=-13.38

Rounding of we get Z score = -13.4

option a is right

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