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ArbitrLikvidat [17]
2 years ago
13

HEEEELPP PLEAAAASEEEEEE

Mathematics
1 answer:
valentina_108 [34]2 years ago
3 0
Y= 1/2x+7

-2           6
-1            6.5
0             7
1              7.5
2              8

I think the equation is linear.

Hope this helped☺☺

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1.) Evaluate the indicated function, where f(x) = x2 − 8x + 3and g(x) = 7x − 5.
noname [10]

Answer:

1) (f + g) (5) = 18, 2) (f + g) (1/2) = - 13/4, 3) (f - g) (-1) = 14, 4) (f * g) (7) = 456, 5) (f/g) (- 2) = - 3/4, 6) (g ○ f)(x) = 6 x - 23, (f ○ g)(x) = 6 x - 6, 7) (g \circ f) (x) = \frac{9}{x} - 24, (f \circ g) (x) = \frac{1}{x - 2} + 5, 8) (f ○ g)(5) = 3

Step-by-step explanation:

1) (f + g) (x) = x^{2}-8\cdot x + 3 + 7 \cdot x - 5\\(f + g) (x) = x^{2} - x - 2\\(f + g) (5) = 18

2) (f + g) (x) = x^{2} - 7 \cdot x + 4 + 6 \cdot x - 7\\(f + g) (x) = x^{2} - x - 3\\(f + g) (\frac{1}{2} ) = - \frac{13}{4}

3) (f - g) (x) = x^{2} - 3 \cdot x + 4 - 4 \cdot x + 2\\(f - g) (x) = x^{2} - 7 \cdot x + 6\\(f - g) (-1) = 14

4) (f \cdot g) (x) = (x^{2}-4\cdot x + 3) \cdot (3\cdot x - 2)\\(f \cdot g) (7) = 456

5) (f / g) (x)  = \frac{x^{2}-3\cdot x + 2}{4 \cdot x - 8} \\(f / g) (-2) = - \frac{3}{4}

6) (g \circ f) (x) = 3 \cdot (2 \cdot x - 8) + 1\\(g \circ f) (x) = 6 \cdot x - 23\\(f \circ g) (x) = 2 \cdot (3 \cdot x + 1) - 8\\(f \circ g) (x) = 6 \cdot x - 6

7) (g \circ f) (x) = 3 \cdot (\frac{3}{x} - 6) - 6\\(g \circ f) (x) = \frac{9}{x} - 24\\(f \circ g) (x) = \frac{3}{3 \cdot x - 6} + 5\\(f \circ g) (x) = \frac{1}{x - 2} + 5

8) (f \circ g) (x) = 2 \cdot (x^{2} - 5 \cdot x) + 3\\(f \circ g) (x) = 2 \cdot x ^{2} - 10 \cdot x + 3\\(f \circ g) (5) = 3

3 0
3 years ago
What is the equation of the line that passes through the point (5, -2) and has a<br> slope of 6/5?
kozerog [31]

Answer:

y = 6/5x + 8

Step-by-step explanation:

m = 6/5

y - y1 = m (x - x1)

y - (-2) = 6/5(x - 5)

y + 2 = 6/5 x - 6

y = 6/5x + 8

6 0
3 years ago
The sum of two numbers is 59. The difference between the two numbers
Wittaler [7]

Answer:

35

Step-by-step explanation:

The numbers are 35 and 24

35 + 24 = 59

35 - 24 = 11

35 > 24

5 0
3 years ago
Write 2ft to 30 inch ratio as a fraction and simplest form
kykrilka [37]

\dfrac{2 \textrm{ feet}}{30 \textrm{ inches}} \times \dfrac{12 \textrm{  inches}}{\textrm{foot}} = \dfrac{24}{30} = \dfrac{4}{5}

Answer: \quad \dfrac 4 5


5 0
3 years ago
Work out 258% of 6300.<br> (Please show how you work it out)
vladimir1956 [14]

6300 * 2.58 = 16254


6300 * 2 = 12600

6300 * .58 = 3654

12600 + 3654 = 16254



3 0
3 years ago
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