The quotient x of and 3

Answer:

f(x) = 12x³ - 19x² + 17x - 17

Step-by-step explanation:

We can the numerator by multiplying the denominator by the quotient, and then adding the remainder.

We're given a denominator of 4x - 5

a quotient of 3x² - x + 3

and a remainder of -2

so the original numerator is:

(4x - 5)(3x² - x + 3) - 2

= 12x³ - 4x² + 12x - 15x² + 5x - 15 - 2

= 12x³ - 19x² + 17x - 17

Let's test that by dividing it by 4x -5 with long division:

[tex]\ \ \ \ \ \ \ \ \ \ 3x^2 - x + 3\\4x - 5\overline{)12x^3 - 19x^2 + 17x - 17}\\.\ \ \ \ \ \ \ \ \ \underline{2x^3 - 15x^2}\\.\ \ \ \ \ \ \ \ \ \ \ \ \ \ -4x^2 + 17x\\.\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \underline{-4x^2 + 5x} \\.\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ 12x - 17\\.\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \underline{12x - 15}\\.\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ 2R[/tex]

That matches, so we know our answer's right, and:

f(x) = 12x³ - 19x² + 17x - 17

Answer:

Width is 41 inches

Step-by-step explanation:

Subtract 12 since there are two sides with lengths of 6, then divide that by to get the width of one of the sides

Answer:

Because the sum of the interior angles of a triangle is 180,

X=180-(65+35)

X=180-100=80

Answer:

Alternative exterior angles --> <1 and <7

Corresponding angles --> <2 and <6

Alternative Interior angles --> <3 and <5

Hope this helps and stay safe, happy, and healthy, thank you :) !!

Answer:

180 is the answer

Step-by-step explanation:

Step-by-step explanation:

To find out areas of rectangles, you have to count the left side of the rectangle which is (12) and then count the bottom of the rectangle which is (15)

Then multiply 12 times 15 to find out the area

15 x 12= 180

what do you mean CDEF

and can I get brainliest?

Answer:

95 0r 91

Step-by-step explanation:

Answer:

93

Step-by-step explanation:

trust me

Answer:

-1.25  ± 0.90i  correct to the nearest hundredth

Step-by-step explanation:

-40x = 16x2 + 38

16x^2 + 40x + 38 = 0    Simplify by dividing by 2:

8x^2 + 20x + 19 = 0

Using the quadratic formula:

x = [ -b  ±√(b^2 - 4ac) ] / 2a

Plug in the coefficients of our equation:

x = [ -20 ±√(20^2 - 4*8*19) ] / 2*8

=  -5/4  ± √(-208)/16

= -5/4 ± 14.4222i/16

= -1.25  ± 0.90i  correct to the nearest hundredth.

Answer:

[tex] {5 }^{2} [/tex]

that is an exponent

Step-by-step explanation:

an exponent is a number at the top right corner of a bigger (physichally) number. Exponents can also be said "to the power". for example 5 to the second power, or power of 2. this just means that instead of multiplying 5 x2 you are multiply 5 x itself the amount of times the exponent tells tou for example 5 x 5 (since my exponent is 2) is 25. so 5 to the second power is 25. and if it said 5 to the power of rhree i would have done 5x5x5 =125

Answer:

how many cups of what were sold

Step-by-step explanation:

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The equation could be used to determine x, the number of seconds, when the two tanks have the same amount of water is 120-1/2x = 100-1/4x

There are many different ways to define an equation. Algebraically speaking, an equation is a statement that shows the equality of two mathematical expressions.

Various kinds of equations: Algebraic math equations include the following.

Equation with Lines;

More than one variable may be present in a linear equation. An equation is said to be linear if the maximum power of the variable is consistently 1. Another name for it is a one-degree equation.

This equation is of second order. At least one of the variables in a quadratic equation needs to be raised to exponent 2.

A third-order equation is this one. At least one of the variables in cubic equations needs to be increased to exponent 2

Given ,

tank 1 = 120 - 1/2x

tank 2 =100 - 1/4x

Therefore 120-1/2x = 100-1/4x

So we can conclude that  the equation could be used to determine x, the number of seconds, when the two tanks have the same amount of water is 120-1/2x = 100-1/4x

The complete question is: A tank has 120 gallons of water and is being drained at a rate of 12 gallon each second. Another tank has 100 gallons of water and is being drained at a rate of 14 gallon each second. Which equation could be used to determine x, the number of seconds, when the two tanks have the same amount of water? Multiple choice question.

120x + 1/2 = 100x + 1/4

120 + 1/2x = 100 + 1/4x

120x - 1/2 = 100x - 1/4

120 - 1/2x = 100 - 1/4x

To learn more about equation refer to:

https://brainly.com/question/22688504

#SPJ2

Answer:

23

ewr

Step-by-step explanation:

Answer:

28 ft²

Step-by-step explanation:

Hello There!

To solve for the area of an irregular shape we want to split the irregular shape into regular shapes

For this irregular shape we would split it into a square with a side length of 2ft and a rectangle with a length of 6ft and a width of 4ft ( width was found subtracting total height of irregular figure (6ft) from height of square (2ft) 6ft - 2ft = 4ft so the width would be 4ft)

now we can easily solve for the area of each individual shape

area of square -

the area of a square can simply be found by raising the side length to the power of 2

so

[tex]a =2^2\\2^2=4\\a=4ft^2[/tex]

so we can conclude that the area of the square is 4ft^2

Now we want to find the area of the rectangle

the area of a rectangle is simply equal to the width times the length

so

[tex]a=6*4\\6*4=24\\\\a=24ft^2[/tex]

so we can conclude that the area of the rectangle is 24ft^2

Finally we add the two areas together

24 + 4 = 28

thus meaning the area of the irregular figure is 28 ft²

Answer:

1238

Step-by-step explanation:

hindi ko alam ask mo nalang sa mama mo hahaha baka sakaling alam niya yung sahot na tinatanong mo hahaha

Answer:$5.00

Step-by-step explanation:

Let c = the cost of each candy bar

3 + 8c = 43

8c = 40

c = $5.00

Answer:

each candy bar costs 5 dollars

Step-by-step explanation:

43-3=50 and 40÷8=5

Answer:

The area of triangle VZX is 210 cm^2

Step-by-step explanation:

Here, we want to get the measure of the area of triangle VZX

From the given diagram, we have two explicit triangles making up triangle VWX

These are triangles VWZ and VZX

By adding the areas of both triangles, we can get the area of VWX

Mathematically, the area of VZX is the difference between the area of VWX and VZW

To get the area of VZW, we can use the formula for the area of a triangle

We have this as 1/2 * base * height

base = 35 cm and height = 28 cm

The area of VWZ is 1/2 * 35 * 28 = 490 cm^2

The area of triangle VZX is thus;

700 cm^2 - 490 cm^2 = 210 cm^2

Answer:  y = 0.0005x+1

This is the same as saying y = (1/2000)x + 1

===============================================================

Explanation:

The blue line goes through (0,1) and (2000,2)

The slope is

m = (y2-y1)/(x2-x1)

m = (2-1)/(2000-0)

m = 1/2000

This says that each time we move up 1, we move to the right 2000 units.

Think of it as slope = rise/run = 1/2000

The slope 1/2000 means that each time you make 2000 soccer balls, it will cost you $1000. Keep in mind that y is in thousands (eg: y = 1 means 1000). This further implies that the marginal cost is ($1000)/2000 = $0.50 = 50 cents. The marginal cost is the cost to make one extra unit.

The fraction 1/2000 converts to the decimal form 0.0005 after using a calculator. So m = 0.0005 is the decimal form of the slope.

The y intercept of the blue line is b = 1 as this is the location where the blue line crosses the vertical y axis. The y intercept represents the fixed costs needed to set up production, for example: buying the machinery needed is a fixed cost.

-------------------

Since m = 0.0005 and b = 1, we go from y = mx+b to y = 0.0005x+1

We could say y = (1/2000)x + 1, though I think it's probably easier to use a decimal in this case.

Answer:

960

Step-by-step explanation:

12x10x16=1920

1920/2=960

Answer:

No

Step-by-step explanation:

Answer: 54

Step-by-step explanation:

63-9 you can't take 9 away from 3 so you must borrow, the 6 becomes a 5 and the 3 becomes 13. 13-9 is 4, bring the 5 down and you have 54.

Answer:

2 [tex]\frac{1}{20}[/tex]

Step-by-step explanation:

for question a)

It would be easier if you converted these to improper fractions (currently it is in the form of a proper fraction)

to convert to improper fraction, you would multiply the denominator (bottom no. of fraction) by the whole number , then add that with the numerator (top no. of fraction) and put the whole thing over the denominator.

E.g.

7 [tex]\frac{1}{4}[/tex] = 7x4 + 1 = 29

Thus, improper fraction would be [tex]\frac{29}{4}[/tex]

do same thing  for other one

thus , [tex]\frac{26}{5}[/tex]

now,

[tex]\frac{29}{4}[/tex] - [tex]\frac{26}{5}[/tex]

however, you can't do this as the denominators are not the same, so multiply them by a number which would give the a common denominator (20 would be the best option for common denominator)

[tex]\frac{145}{20} -\frac{104}{20}[/tex] = [tex]\frac{41}{20}[/tex]

convert back to mixed number

2 [tex]\frac{1}{20}[/tex]

Answer:

Step-by-step explanation:

a) Step1 : write in improper form

Step 2 : Find least common denominator

Step 3: Find equivalent fractions and then subtract

[tex]7\frac{1}{4}-5\frac{1}{5} = \frac{29}{4}-\frac{26}{5}\\[/tex]

            [tex]= \frac{29*5}{4*5}-\frac{26*4}{5*4}\\\\=\frac{145}{20}-\frac{104}{20}\\\\=\frac{145-104}{20}\\\\=\frac{41}{20}\\\\=2\frac{1}{20}[/tex]

b) Keep Change Flip method

[tex]4\frac{1}{4}[/tex] ÷ [tex]2\frac{1}{5} = \frac{17}{4}[/tex] ÷ [tex]\frac{11}{5}[/tex]

            [tex]=\frac{17}{4}*\frac{5}{11}\\\\=\frac{85}{44}\\\\=1\frac{41}{44}[/tex]

Answer:

540

Step-by-step explanation:

The multiples of 45 are 9,3,3,1

The multiples of 60 are 12,4,2,1

The multiples of 135 are 27,9,9,9,3

Therefore the LCM can be calculated as follows

= 5×3×2×2×3×3

= 540

Hence the LCM is 540

Answer:

160

Step-by-step explanation:

total = 100%

we know,

55 % of total = 88

or, 55/100 * total = 88

so total = 160

Answer:

42 rivets=32ft of the bridge

1 ft of the bridge =42/32 rivets

2200 ft of the bridge =42/32×2200=2887.5

2887 and half

rivets that will be needed for the entire bridge.

Answer:

Its A.

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

IM doing the test

0.16÷0.3220=0.49689440993