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3 years ago

What is 8.354 times 11.81?

Mathematics

2 answers:

anyanavicka [17]3 years ago

7 0

8.354 x 11.81
answer=98.66074

pashok25 [27]3 years ago

6 0

8.354 times 11.81 is equal to <span>98.66074</span>

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Find the solution set of this inequality|10x+20| ≤10

Pavlova-9 [17]

Answer:

solution is

[-3,-1]

Step-by-step explanation:

we are given

$|10x+20|\leq 10$

Firstly, we will find critical values

so, let's assume it is equal

$|10x+20|= 10$

now, we can break absolute sign

For $|10x+20|= -(10x+20)$ :

$-(10x+20)= 10$

we can solve for x

$-10x-20= 10$

Add both sides by 20

$-10x-20+20= 10+20$

$-10x= 30$

Divide both sides by -10

and we get

$x=-3$

For $|10x+20|= (10x+20)$ :

$(10x+20)= 10$

we can solve for x

$10x+20= 10$

Subtract both sides by 20

$10x+20-20= 10-20$

$10x= -10$

Divide both sides by 10

and we get

$x=-1$

so, critical values are

$x=-3$

$x=-1$

now, we can draw a number line and locate these values

and then we can check inequality on each intervals

For $(-\infty,-3)$ :

We can select any random value from this interval and plug that in inequality

and we get

we can plug x=-5

$|10\times -5+20|\leq 10$

$|-50+20|\leq 10$

$30\leq 10$

so, this is FALSE

For $[-3,-1]$ :

We can select any random value from this interval and plug that in inequality

and we get

we can plug x=-2

$|10\times -2+20|\leq 10$

$|-20+20|\leq 10$

$0\leq 10$

so, this is TRUE

For $(-1,\infty)$ :

We can select any random value from this interval and plug that in inequality

and we get

we can plug x=0

$|10\times 0+20|\leq 10$

$|0+20|\leq 10$

$20\leq 10$

so, this is FALSE

so, solution is

[-3,-1]

7 0

3 years ago

Part 3. Identify the X intercepts for<br><br>y = (x+4)^2-9

RSB [31]

Answer:

x = -1 or x = -7

Step-by-step explanation:

y = (x + 4)^2 - 9

To find x-intercept, set y = 0

=> (x + 4)^2 - 9 = 0

=> ( x + 1)( x + 7) = 0

=> x = -1 or x = -7

7 0

2 years ago

Read 2 more answers

Segment VY is a midsegment of trapezoid FEDC. Find x.

Morgarella [4.7K]

Answer:

x = 12

Step-by-step explanation:

The midsegment VY is half the sum of the parallel bases , that is

VY = $\frac{EF+CD}{2}$ , then

3x + 18 = $\frac{1}{2}$ (x + 96) ← multiply both sides by 2 to clear the fraction

6x + 36 = x + 96 ( subtract x from both sides )

5x + 36 = 96 ( subtract 36 from both sides )

5x = 60 ( divide both sides by 5 )

x = 12

8 0

2 years ago

Please helpppp! i really need help on this

nasty-shy [4]

Answer:

17,660,000

Step-by-step explanation:

First:

Multiply 14.6 x 10^6 which equals 14,600,000.

Second:

Multiply 3.06 x 10^6 which equals 3,060,000

Third:

Add Both answers together. You will get 17,660,000 as the answer!

7 0

2 years ago

The length of a rectangular driveway is five feet more than three times the width. The area is 350ft2. Find the width and length

crimeas [40]

Answer:

width -- 10 ft
length -- 35 ft

Step-by-step explanation:

We can let x represent the width. Then the length will be represented by (3x+5), a value 5 more than 3 times the width.

The area is the product of length and width, so is ...

A = (3x +5)(x) = 3x^2 +5x

To make the area 350, we can find the value of x from ...

3x^2 +5x = 350

This can be solved a number of ways. One of them is "completing the square".

3(x^2 +5/3x) = 350

We choose to divide by 3 and add the square of half the x-coefficient.

x^2 +5/3x +(5/6)^2 = (350/3) + (5/6)^2

(x +5/6)^2 = 4225/36 . . . . simplify

x +5/6 = ±√(4225/36) = ±10 5/6 . . . . take the square root

x = 10 or -11 2/3 . . . . subtract 5/6

The positive solution is the one of interest: x = 10.

The driveway is 10 ft wide and 35 ft long.

4 0

3 years ago