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2 years ago

8f(x)=x

Mathematics

1 answer:

victus00 [196]2 years ago

6 0

Answer:

-2 and -4

Step-by-step explanation:

Given the function f(x) = x² + 6x + 8

If f(x) = 0

x² + 6x + 8 = 0

Factorize

x² + 4x + 2x+ 8 = 0

x(x+4)+2(x+4) = 0

(x+2)(x+4) = 0

x+2 = 0 and x+4 = 0

x = -2 and -4

Hence the zero of the function is -2 and -4

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Find two numbers such that one exceeds the other by 11 and their sum is 73.

Whitepunk [10]

Answer: 31 & 42

Step-by-step explanation:

1st #: x

2nd #: x + 11

1st# + 2nd# = sum

x + x + 11 = 73

2x + 11 = 73

2x = 62

x = 31

2nd #: x + 11 = 31 + 11 = 42

5 0

3 years ago

The graph below describes the journey of a train between two cities

UkoKoshka [18]

Answer:

Step-by-step explanation:

To find : Acceleration in first 15 min . Distance between two cities Average speed of journey

Solution:

Each horizontal block is 1/8 hr = 7.5 min

Each vertical block is 10 km/hr

Time Velocity km/hr

0 Min ( 0 hr) 0

15 Min (1/4 hr) 50

45 Min (3/4 hr) 50

60 MIn ( 1 hr) 100

90 Min ( 3/2 hr) 100

120 Min ( 2hr) 0

Acceleration in first 15 min (1/4 hr) = (50 - 0)/(1/4 - 0) = 50/(1/4)

= 200 km/h²

Distance between two cities

= (1/2)(0 + 50)(1/4 - 0) + 50 * (3/4 - 1/4) + (1/2)(50 + 100)(1 - 3/4) + 100 * (3/2 - 1) + (1/2)(100 + 0)(2 - 3/2)

= 25/4 + 25 + 75/4 + 50 + 25

= 125

Distance between two cities = 125 km

Average Speed of journey = 125/2 = 62.5 km/hr

Acceleration in first 15 min = 200 km/h²

Distance between two cities = 125 km

Average Speed of journey = 62.5 km/hr

Hope this helps..

3 0

3 years ago

Read 2 more answers

Cual de estas graficas son funciones

valkas [14]

Los funciones Son Y 3,

7 0

3 years ago

Sort the ratios listed at the right into bins so that equivalent ratios are grouped together:

cestrela7 [59]

Step $1$

Find the irreducible fraction in each ratio

case 1) $\frac{40}{64}$

Divide by $8$ boths numerator and denominator

$\frac{40}{64}=\frac{5}{8}$

case 2) $\frac{5}{75}$

Divide by $5$ boths numerator and denominator

$\frac{5}{75}=\frac{1}{15}$

case 3) $\frac{14}{35}$

Divide by $7$ boths numerator and denominator

$\frac{14}{35}=\frac{2}{5}$

case 4) $\frac{24}{64}$

Divide by $8$ boths numerator and denominator

$\frac{24}{64}=\frac{3}{8}$

case 5) $\frac{6}{15}$

Divide by $3$ boths numerator and denominator

$\frac{6}{15}=\frac{2}{5}$

case 6) $\frac{65}{104}$

Divide by $13$ boths numerator and denominator

$\frac{65}{104}=\frac{5}{8}$

case 7) $\frac{66}{176}$

Divide by $22$ boths numerator and denominator

$\frac{66}{176}=\frac{3}{8}$

case 8) $\frac{12}{30}$

Divide by $6$ boths numerator and denominator

$\frac{12}{30}=\frac{2}{5}$

case 9) $\frac{15}{225}$

Divide by $15$ boths numerator and denominator

$\frac{15}{225}=\frac{1}{15}$

case 10) $\frac{6}{16}$

Divide by $2$ boths numerator and denominator

$\frac{6}{16}=\frac{3}{8}$

case 11) $\frac{15}{24}$

Divide by $3$ boths numerator and denominator

$\frac{15}{24}=\frac{5}{8}$

case 12) $\frac{48}{128}$

Divide by $16$ boths numerator and denominator

$\frac{48}{128}=\frac{3}{8}$

Step $2$

Sort the ratios into bins

1) First Bin

$Ratio=\frac{5}{8}$

$\frac{40}{64}$

$\frac{65}{104}$

$\frac{15}{24}$

2) Second Bin

$Ratio=\frac{1}{15}$

$\frac{5}{75}$

$\frac{15}{225}$

3) Third Bin

$Ratio=\frac{2}{5}$

$\frac{14}{35}$

$\frac{6}{15}$

$\frac{12}{30}$

4) Fourth Bin

$Ratio=\frac{3}{8}$

$\frac{24}{64}$

$\frac{66}{176}$

$\frac{6}{16}$

$\frac{48}{128}$

3 0

3 years ago

Read 2 more answers

A scooter tracked 30 feet in 2 seconds at a constant speed what is the speed of the scooter in feet per second

svp [43]

15 feet per second. divide 30 by 2

4 0

2 years ago