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2 years ago

Solve the following for x:

Mathematics

1 answer:

taurus [48]2 years ago

3 0

Step-by-step explanation:

2x(squared)+9x+9=—1

2x(squared)+9x+9+1=0

2x(squared)+9x+10=0

multiply the coefficient of x and 10=2x10=20

2x(squared)+9x+10=0

look for two numbers that when added gives 9and when multiplied gives 20

2x(squared)+5x+4x+10=0

(2x(squared)+5x)+(4x+10)=0

find the number and letters that are common in the equations

x(2x+5)+2(2x+5)=0

(x+2) (2x+5)=0

x+2=0

collect like terms

x=0-2

x=-2

2x+5=0

collect like terms

2x=0-5

2x=-5

divide both sides by 2

2x/2=-5/2

x=-5/2

so x=-2 and -5/2

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The Sugar Sweet Company will choose from two companies to transport its sugar to market. The first company charges $3604 to rent

agasfer [191]

Answer: 14 tons

$3,860.50

Step-by-step explanation:

Let x = the amount of sugar transported.

First company:

The cost is $3157 truck rental plus $50.25 per ton of sugar.

Total cost = 3157 + 50.25x dollars

Second company:

There is no charge for truck rental, but it costs $275.75 per ton of sugar.

The total cost is

275.75x

When the two costs are the same, then

275.75x = 3157 +50.25x

225.5x = 3157

x = 14 tons

The total cost is 275.75*14 = $3,860.50

5 0

2 years ago

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4) There are 4 marbles and 3 cubes in a board game. The marbles are black, blue, yellow, and red. The cubes are numbered 1, 2, a

krek1111 [17]

Answer:

Here is the sample space, its size is 4*3 = 12:

Black 1
Black 2
Black 3
Blue 1
Blue 2
Blue 3
Yellow 1
Yellow 2
Yellow 3
Red 1
Red 2
Red 3

3 0

2 years ago

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I’m confused on questions c-f

Nadya [2.5K]

I gotchu !! just give me a moment to write it out

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3 years ago

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How many centimeters are there in 1 yard if there are 2.54 centimeters per inch? Show your work and express your answer without

sasho [114]

Answer: 91.44

Step-by-step explanation:

There are 3 feet in a yard, 12 inches in a foot. 2.54 x 12= 30.48

30.48 x 3= 91.44

I hope this helps!

3 0

2 years ago

!!!!!!!!!!!!!!!!!!!!

Andru [333]

Answer:

$f^{-1}(x)=4x+20$

Step-by-step explanation:

Given

$f(x)=\frac{x}{4}-5\\ \\y=\frac{x}{4}-5$

Swap x and y and solve for y

$y=\frac{x}{4}-5\\ \\x=\frac{y}{4}-5\\ \\x+5=\frac{y}{4}\\ \\4(x+5)=y\\\\y=4x+20$

Final answer

$f^{-1}(x)=4x+20$

Keep in mind that we need to swap the variables because a function and its inverse are symmetrical about the line y=x. See the graph below.

3 0

2 years ago