4. Fatore as expressões. a) 4x4y2 –6x3y3 +8x2y4 = b) 18ab3c² +27a3b4c3 -9a2b5c4 -45a2b3c2 = c) a2+3ab-2ac-6bc= d) x3–3x2y2 +6y3 – 2xy = e) x2 +z+x3y+xyz=zx2 -z2 = f) a4b6-9c2 = g) 9a4-b4 = h) 25x6 + 10x3y+y2 = i) 49x4 +14x2 +1= j) 20a2b2 – 2a4 – 50b4 =

Answer:

Step-by-step explanation:

find the height, width, and length.

multiply them

V=lwh

or

V=Bh

B=lw

43.9 + x = 49.65

Subtract 43.9 from both sides:

49.65 - 43.9 = 5.75

The missing number is 5

Answer:

2 cups of sugar:3 cups of flour

Step-by-step explanation:

Because there are 2 cups of sugar and 3 cups of flour used, you can represent this with a ratio - 2 cups sugar:3 cups flour.

Because 2:3 cannot be reduced (it is in its simplest form), this is the final answer.

Hey there!

Functions are basically like machines you put a number into and they give you a new one as an output. This f represents this machine. f(x) represents whatever the output is because it is the x after it has gone through the function machine.

We want to figure out what x is when f(x)=12. Well, we can simply replace f(x) with 12 in the first equation and solve for x!

12=-16x+8

We flip the equation so x is on the left side.

-16x+8=12

We subtract 8 from both sides.

-16x=4

We divide both sides by -16.

x=-1/4

Have a wonderful day! :D

Answer:

f(x) = -16x + 8

F(x) = 12

=> f(12) = -16x + 8

=> 12-8 = -16x + 8 - 8

=> 4 = 16x

=> 4/16 = 16x/16

=> 1/4 = x

So, the answer is 1/4.

You can just keep 0 as the whole number to answer this question.

Work Shown:

Replace every 'a' with 2, and replace every b with 3

a^2+b = 2^2 + 3 = 4 + 3 = 7

Answer:

Solution : 29

Step-by-step explanation:

As this is an equilateral triangle all sides present are congruent.

3x + 8 = 5x - 6 = 2x + 15

3x + 8 = 5x - 6

- 2x = - 14,

x = 7

And hence one side length will be say 3(7) + 8 = 21 + 8 = 29 units. We can double check this solution by substituting x for other side lengths. Remember that all the side length have an equal measure.

5(7) - 6 = 35 - 6 = 29 ✓

2(7) + 15 = 14 + 15 = 29 ✓

Answer:

40% and 60%

╰(*°▽°*)╯

Step-by-step explanation:

60% of 17 is 10.2 making 40% and 60% the closest choice to 9

So, the answer would be 40% and 60%

╰(*°▽°*)╯

Answer: p lies between 50% and 55%

Step-by-step explanation: if 9 is p percent of 17, then p is a number between what numbers

9 is p percent of 17

Lets make the equation for the given statement

9 = p percent times 17

p percent is p /100

Lets solve for p

multiply both sides by 100

Divide both sides by 17

p= 52.9

Hence we say that p lies between 50% and 55%

Answer:

A. The left side continues up, and the right side continues up.

Step-by-step explanation:

f(x) = 6x^4 + 4x^3 - 5x^2 -2x + 1

The highest power will describe the end behavior

f(x) = 6x^4

Let x = -∞

f(-∞) = 6 * (-∞)^4 = 6* ∞ = ∞

As x goes to -∞  f(x) goes to ∞

Let x = ∞

f(∞) = 6 * (∞)^4 = 6* ∞ = ∞

As x goes to ∞  f(x) goes to ∞

Answer:

80+96

= 176 total ounces of jam

176 ÷ 8

22 total jars

Answer:

the answer is -4

Step-by-step explanation:

-16-4g=6g-6g

    +4        +4

you add the -4g to both sides by changeing it to positive  

then you have -16=6g-2g

then you go to the right side of the equation and solve, 6-2 is 4 then you have

-16=4g then you divide on both sides

-16 divided by 4 is

-4

Answer:

[tex]\Huge \boxed{g=-4}[/tex]

Step-by-step explanation:

[tex]-16-4g=6g-6g[/tex]

Combining like terms.

[tex]-16-4g=0[/tex]

Adding 4g to both sides.

[tex]-16=4g[/tex]

Dividing both sides by 4.

[tex]-4=g[/tex]

65 miles per hour / 60 minutes per hour = 1.083 miles per minute.

126 miles/ 1.083 miles per minute = 116.03 minutes

Rounded to nearest whole number = 116 minutes.

Answer:

116 minutes

Step-by-step explanation:

speed = distance/time

speed * time = distance

time = distance/speed

time = 126 miles / 65 mph

time = 126/65 hours

time = 126/65 hours * (60 minutes)/(1 hour) = 116 minutes

Answer: $ 532

Step-by-step explanation:

Given: Ramona works in a clothing store where she earns a base salary of $140 per day plus 14% of her daily sales.

She sold $600 in clothing on Saturday and $1200 in clothing on Sunday.

To find : Earning in two days.

Total sales she did in 2 days = $600+$1200 = $1800

Then, her total earning for 2 days = 2 x( Base salary)+ 14% of (Total sales)

= 2 x ($140) + (0.14) ($1800)

= $(280+252)

= $ 532

Hence, she earned  $ 532 over the 2 days.

Answer:

$532

Step-by-step explanation:

Ramona worked for two days. So she would have already earned $280.

And she also earns 14% of $600 from the first day, and 14% of 1200.

14/100 * 600/1 = 8400/100 = $84

14/100 * 1200/1 = 16800/100 = $168

$280 + $84 + 168 = $532

Altogether, Ramona earned $532 in the total of two days! Wow that's more money then I get per month lol.

Hope this helps :D

- Anna

Answer:

[tex]\displaystyle \lim_{\Delta x \to 0} \frac{(x+\Delta x)^2-2(x+\Delta x)+1-(x^2-2x+1)}{\Delta x}=2x-2[/tex]

Step-by-step explanation:

We want to find the limit:

[tex]\displaystyle \lim_{\Delta x \to 0} \frac{(x+\Delta x)^2-2(x+\Delta x)+1-(x^2-2x+1)}{\Delta x}[/tex]

We can expand the numerator:

[tex]=\displaystyle \lim_{\Delta x \to 0} \frac{(x^2+2x\Delta x+\Delta x^2)+(-2x-2\Delta x)+1+(-x^2+2x-1)}{\Delta x}[/tex]

Simplify. Combine like terms:

[tex]\displaystyle \lim_{\Delta x\to 0} \frac{(x^2-x^2)+(-2x+2x)+(1-1)+(2x\Delta x+\Delta x^2-2\Delta x)}{y}[/tex]

The first three terms will cancel:

[tex]\displaystyle \lim_{\Delta x\to 0} \frac{2x\Delta x+\Delta x^2-2\Delta x}{\Delta x}[/tex]

Factor:

[tex]\displaystyle \lim_{\Delta x \to 0} \frac{\Delta x(2x+\Delta x-2)}{\Delta x}[/tex]

Cancel:

[tex]\displaystyle \lim_{\Delta x\to 0}2x+\Delta x-2[/tex]

Now, we can use direct substitution:

[tex]\displaystyle \begin{aligned} &\Rightarrow 2x+(0)-2\\ &=2x-2\end{aligned}[/tex]

Therefore:

[tex]\displaystyle \lim_{\Delta x \to 0} \frac{(x+\Delta x)^2-2(x+\Delta x)+1-(x^2-2x+1)}{\Delta x}=2x-2[/tex]

Answer:

2x-2

Step-by-step explanation:

let d = delta x

lim as d goes to 0  ( ( x+d)^2 - 2(x+d) +1 - ( x^2 -2x+1))/d

Expand the term in side the parentheses

( ( x+d)^2 - 2(x+d) +1 - ( x^2 -2x+1))

x^2 +2dx +d^2 -2x-2d+1 - x^2 +2x -1

Combine like terms

2dx +d^2 -2d

Replace

lim as d goes to 0  ( 2dx +d^2 -2d)/d

Factor out a d

lim as d goes to 0  d( 2x +d -2)/d

Cancel the d in the numerator and denominator

lim as d goes to 0  ( 2x +d -2)

Take the limit of each term as d goes to zero

2x +0-2

2x-2

Answer:

Step-by-step explanation:

How do you find a function for this story?

On your first day of work, you get $1. On your second day of work, you get $4. On your third day of work, you get $9. On your fourth day of work, you get $16. It continues this way for 30 days and then once you’ve completed the 30 days you receive a completion bonus of $500000.

No. of days Amount earned

1 1

2 4

3 9

4 16

. .

. .

. .

30 500,000

To find a function to the story

Let

No. of days = d

Amount earned = A

When,

d=1, A=1

d=2, A=4

d=3, A=9

d=4, A=16

It can be seen that amount earned is a square of the number of days

Therefore,

The function for the story is:

A=d^2

When d=30

A=30^2

=30*30

=900

Adding the total earnings for 30 days=$500,000

That is

1+4+9+16+25+36+49+64+81+100+121+144+169+196+225+256+289+324+361+400+441+484+529+576+625+676+729+784+841+900=500000

Answer:

Find the degree, leading term, and leading coefficient.

Polynomial Degree: 1

Leading Term: 20 m

Leading Coefficient:  20

Step-by-step explanation:

Answer: Adding a negative is the same as subtracting, so we will subtract 19 from 66.

66 - 19 = 47

The answer to -19 + 66 is equal to 47.

Given that :-

To Find :-

Solution :-

☆ When a negative digit is multiplied with negative digit then the result comes as positive digit .

→ x × y = (-12)(-3)

→ x.y = 36

So the answer is 36.

Answer:

36

Step-by-step explanation:

To find xy, multiply x and y

(-12)(-3) = 36

xy = 36

Answer:

5 units

Step-by-step explanation:

If both points are translated the same amount, then the length of the line will stay the same.

Answer:

The expected frequencies for all categories are at least 5.

Step-by-step explanation:

The chi-square goodness of fit test is useful when we have one categorical variable from a population. The test is used to determine whether the data collected are consistent with a hypothesized distribution.

The conditions required to use the chi-square goodness of fit test are:

The degrees of freedom of this test is:

d = k - 1

Here,

k = number of categories.

Thus, the expected frequencies for all categories are at least 5.

Answer:

7 cm

Step-by-step explanation:

We are told that the pyramid has a square base of an area of 49 cm².

Therefore, the side length of the base of the pyramid is still the same as the side length of a square having an area of 49 cm².

Area of a square = s², where s is the side length of the square.

The side length of the base can be gotten using the following equation,

[tex] s^2 = 49 [/tex]

Solve for s by looking for the share root of both sides.

[tex] \sqrt{s^2} = \sqrt{49} [/tex]

[tex] s = 7 [/tex]

The side length of the base = 7 cm

Answer:

67

Step-by-step explanation:

Answer:

Statements 1, 3, and 5

1) Two rays joined at the same end point form an angle.

3) A continuous section of the circumference of a circle is a circular arc.

5) A circle is the locus of all points a fixed distance from a given center point.

Step-by-step explanation:

Statement 2 is false because it says that intersecting lines that form right angles are parallel lines.  Actually, intersecting lines that form right angles are perpendicular lines.

Statement 4 is false because it says that lines that never intersect of cross each other are perpendicular.  Actually, lines that never intersect or cross each other are parallel.

Answer:

-7°F

Step-by-step explanation:

Answer: -7

Step-by-step explanation: if -4 was it's original number and the number has dropped means subtraction and by that means subtracting 3 to -4.

Answer:

n =2

Step-by-step explanation:

2=-9n+22-n

2 = -10n +22

-20 = -10n

n = 2

Step-by-step explanation:

Grouping like terms

9n+n=22-2

10n=20

Dividing through by 10

n=2

Answer:

During a translation the location of a figure changes, but the orientation, area, and lengths between it's points do not.

Answer:

the size and the shape

Step-by-step explanation:

Answer:

Read Exp:

Step-by-step explanation:

Exact Form:  

- 99/20

Decimal Form:  

- 4.95

Mixed Number Form:

- 4 19/20

Answer:

Step-by-step explanation:

[tex]-2\frac{3}{4}[/tex]  ÷  [tex]\frac{5}{-9}[/tex]  = [tex]\frac{-11}{4}[/tex] ÷ [tex]\frac{5}{-9}[/tex]

                 [tex]=\frac{-11}{4}*\frac{-9}{5}\\\\\\=\frac{99}{20}\\\\\\= 4\frac{19}{20}[/tex]

Answer: 17

Step-by-step explanation:

Given: [tex](ax+b)(2x+3)=20x^2+44x+21[/tex], where a and b are two distinct integers.

First simplify left hand side as

[tex](ax+b)(2x+3)=ax\cdot \:2x+ax\cdot \:3+b\cdot \:2x+b\cdot \:3\\\\=2axx+3ax+2bx+3b\\\\=2ax^2+(3a+2b)x+3b[/tex]

Then comparing left side and right side

[tex]2ax^2+(3a+2b)x+3b=20x^2+44x+21[/tex]

we get 2a = 20 (coefficient of [tex]x^2[/tex]) , and 3b = 21  (constant term)

⇒ a= 10 and b= 7

Then, a+b= 10+7=17

Hence, the value of sum a+b is 17.

Answer:

In this question the value of x is given 29 so put it in the equation to get answer

[tex]h(x) = {x}^{2} + 4[/tex]

put the value of x = 29 in the above equation

[tex]h(x) = {29}^{2} + 4[/tex]

so after solving this equation we get our answer

[tex]h(x)= 841 + 4[/tex]

[tex]h(x) = 845[/tex]

Hope it helps u mate

if u like leave a thank

Answer:

the variable x=12.5

Step-by-step explanation:

so first you will insert 29 to the equation

29= x2+4

now you subtract 4 from 29

29-4= 25

since you are multiplying you have to do the opposite operation which would be division so now divide 25 by 2

25/2

now insert your answer

h(12.5)=(12.5)2+4

h would be considered 2.32