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2 years ago

Let f(x)=3x+5 and g(x)=x^2 find (f-g)(x)

Mathematics

1 answer:

dlinn [17]2 years ago

7 0

Answer:

(f - g)(x) = -x² + 3x + 5

General Formulas and Concepts:

Pre-Algebra

Equality Properties

Algebra I

Function Notation
Combining Like Terms

Step-by-step explanation:

Step 1: Define

f(x) = 3x + 5

g(x) = x²

(f - g)(x) is f(x) - g(x)

Step 2: Find (f - g)(x)

Substitute: (f - g)(x) = 3x + 5 - x²
Rewrite: (f - g)(x) = -x² + 3x + 5

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A polygon has its vertices at the following points.

seropon [69]

Answer:

isosceles trapezoid

Step-by-step explanation:

1) find the distance of the points

$\sqrt{(x2-x1)^2 + (y2 -y1)^2}$

AB = $\sqrt{(4-2)^2 + (7-5)^2} = \sqrt{4 + 4} = \sqrt{8} = 2 \sqrt{2}$

BC = |7-4| = 3

CD = $\sqrt{(9-7)^2 + (5-7)^2}= \sqrt{4+4} = \sqrt{8} = 2 \sqrt{2}$

AD = |9-2| = 7

2) equation of the line that passes threw BC

y = 7

3) equation of the line that passes threw AD

y = 5

conclusion

the quadrilateral has two parallel sides and two congruent sides, so it is a isosceles trapezoid

3 0

2 years ago

ASAP PLEASE‼️‼️ What is the area rounded to the nearest 10th

Igoryamba

Answer:

379.56 ft

Step-by-step explanation:

25 squared = 625

diameter of the half circle is 25

Diameter divided by 2 is radius

pi r squared is the formula for area of circle

r=12.5

pi * 12.5 squared

4 0

3 years ago

#9 and #10 Please show work

Tatiana [17]

Answer:

Part 9) The number of items on Emily's grocery list is 5 and the number of items on Bobby's grocery list is 13

Part 10) The height of the taller bookshelf is 4 feet and the height of the shorter bookshelf is 1 foot

Step-by-step explanation:

Part 9)

Let

x ----> number of items on Emily's grocery list

x ----> number of items on Bobby's grocery list

we know that

$y=2x+3$ ----> equation A

$x=y-8$ ----> equation B

Solve by substitution

Substitute equation A in equation B

$x=(2x+3)-8$

solve for x

$x=2x-5$

$2x-x=5$

$x=5$

Find the value of y

$y=2(5)+3=13$

therefore

The number of items on Emily's grocery list is 5 and the number of items on Bobby's grocery list is 13

Part 10)

Let

x ----> the height of the taller bookshelf in feet

y ----> the height of the shorter bookshelf in feet

we have

$x=5y-1$ ----> equation A

Remember that

$1\ ft=12\ in$

To convert inches to feet divide by 12

$60\ in=60/12=5\ ft$

$x+y=5$ ----> equation B

Solve the system by substitution

substitute equation A in equation B

$(5y-1)+y=5$

solve for y

$5y+y=5+1$

$6y=6$

$y=1\ ft$

Find the value of x

$x=5(1)-1=4\ ft$

therefore

The height of the taller bookshelf is 4 feet and the height of the shorter bookshelf is 1 foot

3 0

2 years ago

Find the slope Show me

inn [45]

Answer:

the slope is

-3/2

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3 years ago

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Jaylon spent $21.60 of the $80 he got for his birthday. What percent of his money did he spend? Oh

Anika [276]

Answer:

27%

Step-by-step explanation:

Jaylon spent 27% of his birthday money.

5 0

2 years ago

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