[tex]\bf x-17=-25[/tex]

Following are simplifications to the given expression:

Given:

[tex]\bold{(3x-1)(x-3)}[/tex]

To find:

simplify=?

Solution:

[tex]\to \bold{(3x-1)(x-3)}\\\\\to \bold{(3x^2-9x-x+3)}\\\\\to \bold{(3x^2-10x+3)}\\\\[/tex]

Therefore, the final answer is "[tex]\bold{3x^2-10+3}[/tex]".

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Answer:

No solution

Step-by-step explanation:

There are no values of x that make the inequality true.

Answer:

f=2

Step-by-step explanation:

f(x-2)=2x-4

divide x-2 to 2x-4

f=2

f(2-2)=4-4

Answer:

D 40,000nm

Step-by-step explanation: 1nm/10^-9m * 10^-6/1um = 10^3 nm/um

Therefore in 40 microns there are:

40um * 10^3 nm/um = 40 * 10^3 nm = 40,000 nm

The human hair is 40,000 nanometers wide.

Option D is the correct answer.

Given,

A human hair is approximately 40 microns (um) wide.

1 um is equal to [tex]10^{-6}[/tex] meters (m)

1 nanometer (nm) is equal to [tex]10^{-9}[/tex] m.

We need to find how many nanometers wide is human hair.

We can add the exponents if we have the same base.

Example:

a² x a³ = [tex]a^{(2+3)}[/tex] = [tex]a^{5}[/tex]

[tex]a^{-2}[/tex] x [tex]a^{-3}[/tex] = [tex]a^{(-2 +( -3))}[/tex] = [tex]a^{-5}[/tex]

We have,

Human hair = 40 microns (um) wide.

And,

1 um = [tex]10^{-6}[/tex] m

1 nm = [tex]10^{-9}[/tex] m

[tex]10^{-9}[/tex] m = 1 nm

Multiplying by 10³ on both sides.

[tex]10^{-9}[/tex] x 10³ = 10³ nm

[tex]10^{(-9+3)}[/tex] = 10³ nm

[tex]10^{-6}[/tex] m = 10³ nm

1 um = [tex]10^{-6}[/tex]m

1 um = 10³ nm

Human hair = 40 um

1 um = 10³ nm

Multiplying 40 on both sides.

40 x 1 um = 40 x 10³ nm

40 um = 40 x 1000 nm

40 um = 40,000 nm

Thus human hair is 40,000 nanometers wide.

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Answer:

Step-by-step explanation:

The ball carrier and defender were 20.62 ft apart

Let the path the ball carrier runs = x and y = path of pursuit and L = distance between defender and ball carrier when they started.

x, L and y form a right angled triangle with y being the hypotenuse side of the triangle.

From Pythagoras' theorem,

x² + L² = y²

So, L² = y² - x²

L = √(y² - x²)

Since x = 40 yards and y = 45 yards,

#substituting the values of the variables into the equation, we have

L = √(y² - x²)

L = √(45² - 40²)

L = √(2025 - 1600)

L = √425

L = 20.62 ft

So, the ball carrier and defender were 20.62 ft apart

Learn more about Pythagoras' theorem here:

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Hello BinibiningDel!

[tex] \huge \boxed{\mathbb{QUESTION} \downarrow}[/tex]

[tex] \large \boxed{\mathfrak{Answer \: with \: Explanation} \downarrow}[/tex]

__________________

Hope it'll help you!

ℓu¢αzz ッ

Answer:

Step-by-step explanation:

Divide the total by number of people to find the unit rate:

Answer:

[tex]\sf\longmapsto \frac{5}{18}pounds \:per\: person [/tex]

Step-by-step explanation:

[tex]\sf\longmapsto \: \frac{5}{6} : 3[/tex]

[tex]\sf\longmapsto \frac{5}{18} pounds \:per\: person [/tex]

Answer:

in 2019, $36 465.19

in 2021, $40 202.87

Step-by-step explanation:

2015 is $30 000 per year

if it is increased by 5% every year

then,

in 2019, her salary will be $30 000 x (1.05)^4 = $36 465.19

in 2021, her salary will be $30 000 x (1.05)^6 = $40 202.87

Step-by-step explanation:

The area = base × height

= 12 × 17 = 204

the perimeter = 2(17 + 15) = 2 × 32 = 64

please give me a brainliest answer

The inverse of f(x) is when you switch the position of the x's and y's (or f(x))

x=3y+7, and then isolate the y so you get a normal function

(x-7)/3

Answer:

y = 0.6x

Step-by-step explanation:

Look what happens as we move from point (4, 2) to point (8, 4).  The x coordinate increases by 4 and the y coordinate by 2.  Thus, the slope of the line representing Relationship A is m = rise / run = 2/4, or 0.5.

The only one of the four possible answers that could be correct is y = 0.6x, which has a greater rate (slope) than does the given line (m = 0.5).

Answer: 0.6

2/3

3/4

I took the test and got those as my answer. Btw here's the image for proof :)

Answer:

1) measure angle T= 72, measure angle U=54

2)measure angle M=76, measure angle N=76

3)EF= 18 inches, measure angle F=134

4)measure angle P,Q,R= 60

Step-by-step explanation:

Answer:

16g + 12

Step-by-step explanation:

6(3g + 2) - 2g

18g + 12 - 2g

16g + 12

Answer:

Step-by-step explanation:

What question do you need help with

Answer:

Vickie is about 1,256,428,800 seconds old.

Step-by-step explanation:

1 year = about 31,536,000 seconds

2021 - 1981 = 40

39 × 31,536,000 = 1,229,904,000 (total 365-day years in seconds discluding this year)

____________________________________________

Now, add the leap days.

Since 1981, there has been 10 leap years, meaning 10 leap days.

1 leap day = about 86,400 seconds

86,400 × 10 = 864,000 (total leap day seconds)

____________________________________________

Today is 10/24/2021, so it is the 297th day of the year.

1 day = exactly 86,400 seconds

297 × 86,400 = 25,660,800 (total seconds this year)

____________________________________________

Add all values to get the total amount of seconds.

1,229,904,000 + 864,000 + 25,660,800 = 1,256,428,800 (total seconds of how old is Vickie)

Answer:

The answer is letter E.........

Answer:

Step-by-step explanation:

Answer:

0.8 pounds

Step-by-step explanation:

Divide 9.6 pounds by 12 bags = 0.8 pound per bag

Answer:

0.8 lbs per bag

Step-by-step explanation:

9.6 / 12 = 0.8

Answer: 0.8

Answer:

WHAT TYPE OF MATH LIKE WHAT LESSON

Step-by-step explanation:

Answer:

No, the sum of the lengths of ANY 2 sides must be greater than the lengths of this 3rd side.

Step-by-step explanation:

Step-by-step explanation:

6x²-23x+20

=>6x²-8x-15x+20

=>2x(3x-4)-5(3x-4)

=>(3x-4)(2x-5)

hope this helps you.

Step-by-step explanation:

the answer is in the image above

Answer:

simplify of 15.8 is 16

Step-by-step explanation:

please mark me as brainliest

Answer:

15 4/5

Step-by-step explanation:

Divide actual feet by scaled feet then multiply by scale inches:

20 feet / 4 = 5

5 x 1/2 = 2 1/2

12 feet / 4 = 3

3 x 1/2 = 1 1/2

Dimensions are 2 1/2 inches by 1 1/2 inches

Answer:

Step-by-step explanation:

The first one is incorrect because would be 4,836,000 instead of 4,836,000,000. The correct notion would be [tex]4.836*10^9[/tex]

Answer:

[tex]d=2[/tex] and [tex]d=3[/tex]

Step-by-step explanation:

[tex]d^2-5d+6=0[/tex]

[tex](d-2)(d-3)=0[/tex]

[tex]d=2[/tex] and [tex]d=3[/tex]

Answer:

We can find the common multiples of two or more numbers by listing the multiples of each number and then finding their common multiples. For example, to find the common multiples of 3 and 4, we list their multiples and then find their common multiples. Multiples of 3: 3, 6, 9, 12, 15, 18, 21, 24, 27, 30, 33, 36, ...

Answer:

10 months

Step-by-step explanation:

30x=22x+80

8x=80

x=10

Answer:(-4 - 0.7 - 1)÷-4 = 57/40 = 1 17/40 = 1.425

Spelled result in words is fifty-seven fortieths (or one and seventeen fortieths).

How do you solve fractions step by step?

   Conversion a decimal number to a fraction: 0.7 = 7/10 = 7/10

   a) Write down the decimal 0.7 divided by 1: 0.7 = 0.7/1

   b) Multiply both top and bottom by 10 for every number after the decimal point. (For example, if there are two numbers after the decimal point, then use 100, if there are three then use 1000, etc.)

   0.7/1 = 7/10

   Note: 7/10 is called a decimal fraction.

   c) Simplify and reduce the fraction

   7/10 = 7 * 1/10 * 1 = 7 * 1/10 * 1

   Subtract: -4 - 0.7 = -4/1 - 7/10 = -4 · 10/1 · 10 - 7/10 = -40/10 - 7/10 = -40 - 7/10 = -47/10

   For adding, subtracting, and comparing fractions, it is suitable to adjust both fractions to a common (equal, identical) denominator. The common denominator you can calculate as the least common multiple of both denominators - LCM(1, 10) = 10. In practice, it is enough to find the common denominator (not necessarily the lowest) by multiplying the denominators: 1 × 10 = 10. In the following intermediate step, the fraction result cannot be further simplified by canceling.

   In other words - minus four minus seven tenths = minus forty-seven tenths.

   Subtract: the result of step No. 2 - 1 = -47/10 - 1 = -47/10 - 1/1 = -47/10 - 1 · 10/1 · 10 = -47/10 - 10/10 = -47 - 10/10 = -57/10

   For adding, subtracting, and comparing fractions, it is suitable to adjust both fractions to a common (equal, identical) denominator. The common denominator you can calculate as the least common multiple of both denominators - LCM(10, 1) = 10. In practice, it is enough to find the common denominator (not necessarily the lowest) by multiplying the denominators: 10 × 1 = 10. In the following intermediate step, the fraction result cannot be further simplified by canceling.

   In other words - minus forty-seven tenths minus one = minus fifty-seven tenths.

   Divide: the result of step No. 3 : (-4) = -57/10 : (-4) = -57/10 · -1/4 = -57 · (-1)/10 · 4 = 57/40

   Dividing two fractions is the same as multiplying the first fraction by the reciprocal value of the second fraction. The first sub-step is to find the reciprocal (reverse the numerator and denominator, reciprocal of -4/1 is 1/-4) of the second fraction. Next, multiply the two numerators. Then, multiply the two denominators. In the following intermediate step, the fraction result cannot be further simplified by canceling.

   In other words - minus fifty-seven tenths divided by minus four = fifty-seven fortieths.

Answer:

$306

Step-by-step explanation:

Adult cost = no of adult × adult cost

no of adult = 12

adult tickets cost = $8

= 12 x $8

= $96

kids cost = no of kids x kids tickets cost

no of kids = 42

kids tickets cost = $5

= 42 x $5

= $210

total sales for the theatre =$96 +$210

= $306