(4a^2)b–ab^2–(3a^2)b+ab^2–ab+6 for a=−3, b=2

The graph of [tex] f(x) [/tex] is a straight line, so it is a linear function.

The graph of [tex] g(x) [/tex] has the same shape of the graph of [tex] y=e^x [/tex] (for example), so it is an exponential function.

Answer:

f(x) is linear

g(x) is exponential

Step-by-step explanation:

exponential  -> It is a graph of half curve

quadratic  -> it is a graph of a U shaped curve

cubic  -> it is a graph of a full curve that goes top and bottom

linear -> It is a graph of a line

In the give graph f(x) is a line graph , so it is Linear

The graph g(x) is a curve that goes at the top not at the bottom. Its like a half curve. so it is an exponential

Get the surd by itself, then square and solve the resulting linear equation.

1. Subtract 2, then square

... √c = 25

... c = 25² = 625

2. √x = 3

... x = 3² = 9

3. √(x-2) = 4

... x -2 = 4²

... x = 16 +2 = 18 . . . . add 2

5. √(2x) = 1

... 2x = 1²

... x = 1/2 . . . . . . . divide by the coefficient of x

Answer:

200,000 m

Step-by-step explanation:

We will multiply the length of the ant by the number of ants to find out how long the line is.

10 million is 10 with 6 zeros

20 * 10 ^-3   move the decimal 3 places to the left

20. * 10 ^-3  = .02

.02 * 10000000

200000

Answer:

Step-by-step explanation:

Deposited amount initially (P) = $250.

Rate of interest(r) = 2.5% compounded monthly = 0.025

Number of years (t) = 4.

Number of months in an year (n) = 12.

Formula for compound interest:

[tex]A=P(1+\frac{r}{n})^{nt}[/tex].

Plugging values in formula, we get

[tex]A= 250(1+\frac{0.025}{12})^{12\times 4}[/tex]

[tex]A= 250(1.00208)^{48}[/tex]

[tex]A= 250\times \:1.10506[/tex]

A=276.26.

Final answer:

To find the height of the arch 50 ft. from the center, we can use the equation of a semi-ellipse. The height of the arch is approximately 31 ft. when rounded to the nearest foot.

Explanation:

To find the height of the arch 50 ft. from the center, we can use the equation of a semi-ellipse. The equation of a semi-ellipse with a length of a and a maximum height of b is given by: ((x^2)/(a^2))+((y^2)/(b^2)) = 1. In this case, the length of the bridge is 400 ft. and the maximum height is 100 ft., so we have: ((x^2)/(200^2))+((y^2)/(100^2)) = 1. To find the height when x = 50 ft., we substitute x = 50 into the equation and solve for y. Plugging in the values, we get: ((50^2)/(200^2))+((y^2)/(100^2)) = 1. Simplifying, we have: (2500/40000)+((y^2)/(100^2)) = 1.

Multiplying both sides by 40000 to get rid of the denominators, we have: 2500 + 400((y^2)/10000) = 40000. Simplifying further, we get: 2500 + 40(y^2) = 40000. Subtracting 2500 from both sides, we have: 40(y^2) = 37500. Dividing both sides by 40, we have: (y^2) = 937.5. Taking the square root of both sides, we have: y = 30.62. So, the height of the arch 50 ft. from the center is approximately 31 ft. when rounded to the nearest foot.

Answer:

l = (P -2w)/2

Step-by-step explanation:

When you're working any "solve for ..." problem, first you look to see where the variable of interest is and what is done to it.

If it is only found on one side of the equation, as here, then you're in luck. If it is only found in one term, as here, you have even better luck.

Identify all the terms on the side of the equation where the variable is located that do not contain the variable. Add their opposite to both sides of the equation. The result will be a term containing the variable, equated to a bunch of other stuff.

... P -2w = 2l . . . . . we added -2w to both sides of the equation

Now, we divide the equation by the coefficient of the variable.

... (P -2w)/2 = (2l)/2

... (P -2w)/2 = l . . . . . . simplify. This is the solution you're looking for

If you like, you can distribute the multiplication by (1/2) to get

... l = P/2 - w

Answer:

each person owe $10.26

Step-by-step explanation:

Six friends go out to lunch and decide to split the bill evenly. The bill comes to $61.56.

Total bill for 6 friends = $61.56

To find bill cost for 1 person we divide the total cost by 6

Bill for each person = [tex]\frac{61.56}{6}= $10.26[/tex]

So each person owe $10.26

Answer:

The very first line has an error.

Step-by-step explanation:

When you are solving the second system of equations for y, you need to subtract 3x from both sides and therefore it should be negative.

3x + y = -9

y = -3x - 9

Since the 3x isn't negative in the first line, there is an error.

The point (3, 18) on the graph means the snail's position when the time is 3 units of time from the time reference is 18 units of distance from the the reference point for distance.

_____

We cannot conclude anything else. We don't know if the snail is moving (or has moved), or if there are any other points on the graph.

Answer: B) The snail traveled 18 ft in 3 h.

Step-by-step explanation: If you look at the graph they graphed (3, 18) the left side says distance (ft) and the dot is to the right of the 18 so it traveled 18 feet.  At the bottom it says time (h) and the dot above the 3 so it took to travel 8 feet.

Hope This Helped ^_^

Answer:

12

Step-by-step explanation:

Answer:

1

Step-by-step explanation:

The factors of 3 are: 1, 3

The factors of 4 are: 1, 2, 4

Then the greatest common factor is 1.

If the function has a ∪ shape (opens up), then it only goes so low—has a minimum value.

Any even-degree function with a positive leading coefficient will open up, so have a minimum. Your function is degree 2 (even) and has a leading coefficient of 3 (positive).

_____

Comment on other polynomial functions

If the leading coefficient of an even-degree function is negative, it will have an inverted-U shape (∩), so will have a maximum.

Any odd-degree function will have a generally rising (/) or generally falling (\) shape, depending on the sign of its leading coefficient. If positive, then rising; if negative, then falling.

First, let's subtract 1 (100%) by 2/6:

1 - 2/6 = 4/6

Knowing that Conner gave his neighbor 1/4 of the remainder, we simply have to multiply 4/6 by 1/4:

4/6 * 1/4 = 4/24 = 1/6

Conner gave 1/6 of his pears to his neighbor.

You are referring to the thousandths spot.

1.00(0)000001

So, between any given number n to n.01 there are 10 numbers.

n.001, n.002, n.003, ..., n.01

Given : The Cost of Laptop in 2007 is $1250

Given : The Cost of Laptop in 2009 is $1100

Decrease in Price of Laptop from 2007 to 2009 : (1250 - 1100) =  $150

A) Percent Decrease in the Price of the Laptop from 2007 to 2009 is :

[tex]\mathsf{\implies \frac{Decrease\;in\;Price\;of\;Laptop\;from\;2007\;to\;2009}{Price\;of\;Laptop\;in\;2007} \times 100}[/tex]

[tex]\mathsf{\implies \frac{150}{1250} \times 100}[/tex]

[tex]\mathsf{\implies 12\%}[/tex]

Given : Decrease in Price of Laptop from 2009 to 2010 = $165

B) Percent Decrease in the Price of the Laptop from 2009 to 2010 is :

[tex]\mathsf{\implies \frac{Decrease\;in\;Price\;of\;Laptop\;from\;2009\;to\;2010}{Price\;of\;Laptop\;in\;2009} \times 100}[/tex]

[tex]\mathsf{\implies \frac{165}{1100} \times 100}[/tex]

[tex]\mathsf{\implies 15\%}[/tex]

The percent decrease in laptop prices, use the formula ((Original Price - New Price) / Original Price) x 100%. The percent decrease from 2007 to 2009 is 12%, and from 2009 to 2010 is 15% with a $165 decrease.

The cost of a laptop computer in 2007 was $1,250. In 2009, the price decreased to $1,100.

A.) To find the percent decrease from 2007 to 2009, you use the formula: Percent decrease = ((Original Price - New Price) / Original Price) x 100%

Substitute the values: ((1250 - 1100) / 1250) x 100% = 12%

Therefore, the percent decrease in the price of the laptop from 2007 to 2009 is 12%.

B.) To find the percent decrease from 2009 to 2010 with a $165 decrease, you apply the same formula: Percent decrease = ((Price in 2009 - Price in 2010) / Price in 2009) x 100%.

Substitute the values: ((1100 - (1100 - 165)) / 1100) x 100% = 15%

Therefore, the percent decrease in the price of the laptop from 2009 to 2010 is 15%.

Answer:

117 girls

Step-by-step explanation:

If 64% are boys, the percentage of girls can be found by subtracting this amount from 100:

100 - 64 = 36

So 36% of 325 are girls.

To find the amount from a percentage use the following formula:

Original amount * [tex]\frac{percentage}{100}[/tex]

Now plug these values in:

[tex]325 * \frac{36}{100}[/tex] = 117

So there are 117 girls in the 325 children.

Answer:

117

Step-by-step explanation:

If 64% are boys, then 36% are girls. 36% of 325 equals 117, so there are 117 girls at the zoo.

Answer:

462 mi

Step-by-step explanation:

Gloria gets 420 mi/tank.

10 % of 420 is

420 × 0.10 = 42 mi

She will be able to drive an extra 42 mi.

420 + 42 = 462 mi

With her new tires, a tank of gas will take her 462 mi.

Answer:

462

Step-by-step explanation:

to find 10% of 420 you take

420 x .10 = 42

then add 42 to 420

420+42=462

Answer:

2500 total calories per day.

Step-by-step explanation:

Assuming that 3500 excess calories produces 1 pound gain, 7000 excess calories required for 2 pound gain

to be accomplished in 14 days

7000/14 = 500 excess calories per day

2000 required calories per day

2500 total calories per day.

Answer:

9×9×8×7×6= 27,216

Step-by-step explanation:

Your answer is :- 9×9×8×7×6= 27,216

Why did i multiply 9×9×8×7×6 ⤵️

Because we can fill each place of a five digit number with ten digits (0,1,2,3,4,5,6,7,8,9).

Now, let us assume the five digit number is abcde, where each alphabet represent a digit.

so according to our question a cannot be equal to 0 ( a≠0), because if a will be equal to zero then our number will be a four digit number. So a can be equal to 9 digits.

b digit can also be equal to 9 numbers. why??because we can place zero on the position of b and only one number will not be repeated which is a.

Now for c, d, e :- accordingly no number will be repeated so on the place of c, there can be 8 digits. On the place of d, there can be 7 digits. And on the place of e there can be 6 digits.

Therefore,

a×b×c×d×e=9×9×8×7×6=27,216

Answer:

Step-by-step explanation:

These sorts of calculations are best done with a calculator that knows statistics.

a) The z-value of the limit ofv interest is (45,000 -35,551)/(5100) ≈ 1.8743. The empirical rule tells you between 16 and 2.5% of the distribution will lie above a limit that is between 1 and 2 standard deviations. So, our calculator value of 3% is approximately correct.

b) The standard deviation of the sample mean is reduced by a factor of √75 from that of the parent distribution for a sample size of 75. Then the z-value is ...

... (38,000 - 35,441)/(5100/√75) ≈ 2559/588.90 ≈ 4.345

The probability of exceeding this valus is pretty small, about 6.95×10^-6.

y = x⁴ +4x³ +4x² +4x +3

The coefficients of the offered quartics (in order) have 1, 1, 1, and 0 sign changes, respectively. Descartes' rule of signs tells you this means the first three choices all have one (1) positive real root, so the negative real roots -1 and -3 are not the only ones.

The only possible polynomial is the last one. Synthetic division of that polynomial by roots -1 and -3 leave the remaining factor as x²+1, which has only complex zeros.

The appropriate choice is ...

... y = x⁴ +4x³ +4x² +4x +3

Answer:

A. You have $48 to spend on socks, but you need to save at least $8 to pay for the bus trip home. You plan to spend the rest on socks at $10 each (including tax).

Step-by-step explanation:

cause it's A

Answer:

A. You have $48.00 to spend on socks, but you need to save at least $8.00 to pay for the bus trip home. You plan to spend the rest on socks at $10.00 each (including tax).

Step-by-step explanation:

Answer:

d = 8t

Step-by-step explanation:

To find a correlation, you need to find what numbers correlate and how.

Lets try multiplying the t value by 8 to get the value ( as one value is 1 and the other is 8 so it would seem suitable)

1 * 8 = 8

2 * 8 = 16

Both values match up which means that to get d, you multiply t by 8.

This means that your answer is d = 8t.

a)7^-2=1/7^2=1/49

b) (8^4)^2/8^11=8^8/8^11=1/8^3=1/512.

To find the value of an expression without exponents, divide numbers and subtract the exponents for division, and when squaring, multiply the number by itself. Any number raised to the power of 2 is squared, and to the power of 3 is cubed.

To find the value of an expression without any exponents, you might need to use the rule: to divide two exponential numbers, divide the numbers out front and subtract the exponents. Here's an example:

If we have to find the value of 106 ÷ 103, you'll divide 10 by 10 (which is 1) and subtract the exponents (6 - 3), resulting in 103, which equals to 1000 when you remove the exponent.

In the context of squaring exponents, when you square a number like 52, it means 5 x 5, which equals 25. Squaring is also known as raising to the power of 2. Similar to this, any number raised to the power of 3 is said to be cubed.

These concepts are fundamental when calculating extreme values like $rac{4.81x10^4}{2.05x10^2}$, solving quadratics, and handling scientific notations.

https://brainly.com/question/5497425

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18. x = y = -3

21. y was substituted into the wrong equation. The solution is (x, y) = (2, 1).

18. Adding y to the first equation transforms it to ...

... x = y

Then you can substitute for either variable in the second equation.

... 2y -5y = 9 . . . . . substitute for x

... -3y = 9 . . . . . . . . simplify

... y = -3 . . . . . . . . . divide by the coefficient of y

.. x = -3 . . . . . . . . . x and y have the same value

___

21. The first equation is being used to find an expression for y in terms of x. If you substitute that expression back into the same equation, it will tell you nothing you didn't already know. (Here, it is telling you 5 = 5.) The expression is only useful if you substitute it into a different equation. Here, it needs to be substituted into the second equation:

... Step 2: 3x -2(-2x+5) = 4 ⇒ 7x -10 = 4 . . . . . substitute for y in the second eqn

... Step 3: 7x = 14 . . . . . add 10

... Step 4: x = 2 . . . . . . . divide by 7

... Step 5: y = -2·2 +5 = 1 . . . . . find the value of y from x using the expression from step 1. Now, you know the solution is (x, y) = (2, 1).

_____

The attached graph shows the solution to the problem of 21.

Answer:

[tex]Height=\sqrt{\frac{weight}{\text{body mass index}}}[/tex]

Step-by-step explanation:

We have BMI formula that is body mass index formula which is:

[tex]\text{Body mass index}=\frac{weight}{height^2}[/tex]

Now, we have to arrange the formula for height:

we will rearrange the terms and derive the formula for height in terms of weight and height.

[tex]Height^2=\frac{weight}{\text{body mass index}}[/tex]

Hence, the required result is:

[tex]Height=\sqrt{\frac{weight}{\text{body mass index}}}[/tex]

Answer:

5

Step-by-step explanation:

1. according to the condition

[tex]\frac{price \ radio1}{price \ radio2} =\frac{x}{y}[/tex]

2. when the both prices are increased the ratio is

[tex]\frac{x+20}{y+20}=\frac{5}{2}[/tex]

3. when the both prices are reduced the ratio is

[tex]\frac{x-25}{y-25} =\frac{5}{1}[/tex]

4. using the equations written in steps 2&3 it is possible to make up the system of the two equations:

[tex]\left \{ {{\frac{x+20}{y+20}=\frac{5}{2}  } \atop {\frac{x-25}{y-25}= \frac{5}{1} }} \right.[/tex]

where x=160; y=52.

5. ration x:y=5.

Answer:

The answer is 20

Step-by-step explanation:

Given that f(2)=1/5

And f(n+1)=f(n)*10

Let's start from n=2

f(2+1)=f(2)*10

f(3)=(1/5)*10

f(3)=2

Now let's take n=3

f(3+1)=f(3)*10

f(4)=2*10

f(4)=20

Answer:

.325

Step-by-step explanation:

If she had a quiz on 13 of the 40 days , the fraction is 13/40

13/40 = .325

Answer: The fraction of the days on which the quiz has been held expressed as a decimal is 0.325

Step-by-step explanation:

Decimal numbers are not considered as integers. They are rounded off to write an integer.

Fraction is present in the form of [tex]\frac{p}{q}[/tex] where [tex]q\neq 0[/tex]

We are given:

Number of days, the class had quiz = 13

Total number of days = 40

The fraction becomes: [tex]\frac{13}{40}[/tex]

Expression this as a decimal = 0.325

Hence, the fraction of the days on which the quiz has been held expressed as a decimal is 0.325

Answer:

The answer is option C i.e; y=0.9x-45

Step-by-step explanation:

When you substitute the values of x you have to get same values as given in the table

For example: substitute x=50 in the equation y=0.9x-45

Y= 0.9(50)-45

Y= 45-45

Y=0