Given f(x) = 2x2 + 4x - 3 and g(x) = 5x - 2, find f(x) - g(x).
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Answer:

Step-by-step explanation:

Given the expression

2a^3−10ab^2+3a^3−ab^2−7

We are to find the coefficient of a^3

First is to collect the like terms;

2a^3−10ab^2+3a^3−ab^2−7

= 2a^3+3a^3−10ab^2−ab^2−7

= 5a^3-11ab^2-7

From the resulting equation, you can see that the coefficient of the term having a^3 is 5

Answer:

5

Step-by-step explanation:

i took the quiz trust me

Answer:

A

C

i don't get the first slide

Step-by-step explanation:

Answer:

 A

 C

What is the 1st one?? i don't get it.

Step-by-step explanation:

Answer:

A, 5:6

Step-by-step explanation: :)

Answer:

YAH IM CONFUSEDDD

Step-by-step explanation:

Answer:

Hey there :)

h ( x ) = f [ g ( x ) ]

To find h ' ( x )  

We do → f ' [ g ( x ) ] × g ' ( x )  

This is called the chain rule

Given;

g ( 1 ) = 2  →  f ' ( 2 ) = 5

g ' ( 1 ) = 6

Apply the formula

h ' ( 1 ) = f ' [ g ( 1 ) ] × g ' ( 1 )

          = f ' ( 2 ) × 6

          = 5 × 6

h ' ( 1 ) = 30

If h(x) = g[f(x)], the value of h'(1) from the given table is calculated as 18.

To find the value of h'(1), we need to apply the chain rule. The chain rule states that if we have a composite function h(x) = g[f(x)], then its derivative h'(x) is given by [tex]\(h'(x) = g'(f(x)) \cdot f'(x)\)[/tex].

Let's use the table of values to find h'(1):

1. f(1) = 3

2. g(f(1)) = g(3) = 2

3. f'(1) = 2

4. g'(f(1)) = g'(3) = 9

Now, we can find h'(1) using the chain rule:

[tex]\[h'(1) = g'(f(1)) \cdot f'(1) = 9 \cdot 2 = 18.\][/tex]

Therefore, the value of h'(1) is 18.

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Answer: 8

please see below for work!

Answer:

[tex]17.5\ \text{feet}[/tex]

Step-by-step explanation:

A bookcase has 5 bookshelves. Each bookshelf is 42 inches long.

Total bookshelf length in the book case = [tex]5\times 42=210\ \text{inches}[/tex]

[tex]1\ \text{feet}=12\ \text{inches}\\\Rightarrow 1\ \text{inch}=\dfrac{1}{12}\ \text{feet}[/tex]

[tex]210\ \text{feet}=210\times \dfrac{1}{12}=17.5\ \text{feet}[/tex]

The bookcase has a total shelf space of [tex]17.5\ \text{feet}[/tex].

*One bookshelf has a space of [tex]\dfrac{42}{12}=3.5\ \text{feet}[/tex].

Answer:

Option (B)

Step-by-step explanation:

Relation between two numbers 3259 and 2,

3259 → 3 × 2 + 5 - 9 = 2

Now we will check the relation in the given options,

Option (A).

5789 → 5 × 7 + 8 - 9 = 34

Option (B).

3174 → 3 × 1 + 7 - 4 = 6

Option (C).

2749 → 2 × 7 + 4 - 9 = 9

Option (D).

9047 → 9 × 0 + 4 - 7 = -3

Therefore, Option (B) shows the same relation.

The correct number form for “one and twenty-five thousandths.” is 1.025.

A place value can be defined as a numerical value (number) which denotes a digit based on its position in a given number and it includes the following:

Twenty-five (25) thousandths as a decimal can be written as follows:

Decimal = 25/1000

Decimal = 0.025.

Combining the word sentence "one and twenty-five thousandths," we have:

Number = 1.025.

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Answer:

put it into slope intercept form. which is y=mx+b

Step-by-step explanation:

Answer:

A is the correct answer

Step-by-step explanation:

The not correct statement about residual plot is If there is an obvious pattern, the model is probably reasonable.

A residual plot shows the difference between the observed response and the fitted response values.

Given that, Which statement about residual plots is not true

In the given options,

If there is an obvious pattern, the model is probably reasonable, this option is not correct because, The pattern in the residual plot suggests that predictions based on the linear regression line will result in greater error as we move from left to right through the range of the explanatory variable.

So, it is not needed if there is an obvious pattern, then the model is probably reasonable,

Hence, the not correct statement about residual plot is If there is an obvious pattern, the model is probably reasonable.

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Given:

John invest $5,000 in one account and $8,000 in an account paying 4% more in interest.

Total interest in one year = $1230

To find:

The rates of the investments.

Solution:

Let x% be the rate of interest on investment $5000.

Then, (x+4)% is the rate of interest on investment $8000.

Total interest is $1230. So,

[tex]5000\times \dfrac{x}{100}+8000\times \dfrac{x+4}{100}=1230[/tex]

[tex]50x+80(x+4)=1230[/tex]

[tex]50x+80x+320=1230[/tex]

[tex]130x=1230-320[/tex]

[tex]130x=910[/tex]

Divide both sides by 130.

[tex]x=\dfrac{910}{130}[/tex]

[tex]x=7[/tex]

Now,

[tex]x\%=7\%[/tex]

[tex](x+4)\%=(7+4)\%=11\%[/tex]

Therefore, $5,000 is invested at 7% and $8,000 is invested at 11%.

Answer:

0.125 quarts

Step-by-step explanation: One quart divided by 8

Can i be brainliest

Answer:

The margin of error for the 94% confidence interval is 0.6154.

Step-by-step explanation:

The (1 - α)% confidence interval for population mean is:

[tex]CI=\bar x\pm z_{\alpha/2}\cdot\frac{\sigma}{\sqrt{n}}[/tex]

The margin of error of this interval is:

[tex]MOE=z_{\alpha/2}\cdot\frac{\sigma}{\sqrt{n}}[/tex]

The critical value of z for 94% confidence level is, z = 1.88.

Compute the margin of error for the 94% confidence interval as follows:

[tex]MOE=z_{\alpha/2}\cdot\frac{\sigma}{\sqrt{n}}[/tex]

          [tex]=1.88\times\frac{3}{\sqrt{84}}\\\\=0.6154[/tex]

Thus, the margin of error for the 94% confidence interval is 0.6154.

Answer: b=6

Step-by-step explanation:

I hope this helps on edge

To make the system have an infinite number of solutions, the value of b can be any real number.

Solutions are the values of an equation where the values are substituted in the variables of the equation and make the equality in the equation true.

We also find the solution in a system of equations using the substitution or elimination method.

Example:

2x + 4 = 8

The solution is x = 2.

We have,

For the system to have an infinite number of solutions, the two equations must be dependent, which means that one of the equations can be obtained by a linear combination of the other two equations.

So,

Let's rearrange the given equations into the slope-intercept form:

y = 6x - b _____(1)

3x + 12y = -3 ______(2)

-3x + y = -3 ______(3)

From equation (3),

y = 3x - 3 _______(4)

Now,

We can see that equation (1) is a multiple of equation (4) with a slope of 6/3 = 2.

Specifically, equation (1) can be obtained by multiplying equation (4) by 2 and then subtracting b from both sides.

So,

2(3x - 3) - b = 6x - b

Simplifying this expression.

6x - b = 6x - b

Since this equation is true for any value of x and b, we have an infinite number of solutions.

Therefore,

To make the system have an infinite number of solutions, the value of b can be any real number.

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Answer:

y=2

Step-by-step explanation:

that's the answer hope u understand it

Answer:

[tex]y = 2[/tex]

Step-by-step explanation:

Sure.

[tex]y - \frac{2}{5} = 1 \frac{3}{5} \\[/tex]

Convert to improper fraction

[tex]y - \frac{2}{5} = \frac{8}{5}[/tex]

Combine like terms

[tex]y - \frac{2}{5} = \frac{8}{5} \\[/tex]

[tex]+\frac{2}{5}[/tex] from both sides

[tex]y = \frac{8}{5} + \frac{2}{5} \\y = 2[/tex]

Love from Nepal :)

Answer:

8.35

Step-by-step explanation:

To get absolute value, just make it the opposite

Answer: |-8.35| = 8.35

Step-by-step explanation: |-8.35| = 8.35

Answer:

Let's simplify step-by-step.

y2+(

2xy

2

x)(y)

=y2+x2y2

Answer:

=x2y2+y2

Step-by-step explanation:

Answer:

The segment that is the diameter is EB

It is 8 cm long

Step-by-step explanation:

Incomplete question but the comnplete question is  how long will it take the object to travel 4 4/5km

Answer: time taken for the object to travel =  0.47 hrs

Step-by-step explanation:

Step 1 -- The formulae to represent the relationship of speed,  distance and time .

Speed = Distance / Time

Where Speed = 10 1/5 km/h

Distance = 4 4/5 km

Step 2 ---  Solving

Time = Distance / Speed

= 4 4/5 km / 10 1/5 km/h

= 24/ 5 x 5/ 51 = 24/51 =0.47 hrs

0r

4. 8 / 10.2 = 0.47 hrs

 Therefore the time taken for the object to travel =  0.47 hrs

answer: g=32 u should simplify

Answer:

The sum of two numbers is 78. If four times the smaller number is subtracted from the larger number, the result is 13. What are the two numbers?

Step-by-step explanation:

EQUATION:

x+ y = 78

x-4y = 13

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

solve by any method to get:

x = 65

y = 13

Answer:

1056 = 11 x 3.2 x 3

Step-by-step explanation:

Find hyptoenuse

Answer:

it is c if you add 2x8 wich makes 16

Answer:

|0.254 ≤ p ≤ 0.286|

Step-by-step explanation:

Given that:

In a made up poll :

Proportion of people who like dark chocolate than milk chocolate (p) = 27%

Margin of Error = 1.6%

Hence,

p ± margin of error

27% ± 1.6%

(27 - 1.6)% ; (27 + 1.6)%

25.4% ; 28.6%

0.254 ; 0.286

Therefore ;

Lower bound = 0.254

Upper bound = 0.286

Expressing p as an absolute value Inequality ;

|0.254 ≤ p ≤ 0.286|

Answer:

54

Step-by-step explanation:

92 (how much his sister has) - 38 (how much he has) = 54 (how much more money his sister has then him)

Answer: His sister had 54 more dollars than him.

Step-by-step explanation: 92 (sister's amount) -38 (Bobby's amount) = 54 (total difference).

Answer:

The customary system states that one pound is equivalent to sixteen ounces(oz).

Step-by-step explanation:

Since the package is one pound, it contains sixteen ounces(oz).

Answer: 98

Step-by-step explanation:

Formula to find sample size if population standard deviation is known:

[tex]n=(\dfrac{z^c\times\sigma}{E})^2[/tex] , where [tex]\sigma=[/tex]population standard deviation, [tex]z^c[/tex] =Critical z-value for confidence level, E= Margin of error.

Given: [tex]\sigma=30,\ \ \ E=10[/tex]

Critical z-value for 90% confidence = 1.645

[tex]n=(\dfrac{1.645\times60}{10})^2\\\\=(1.645\times6)^2\\\\=9.87^2\\\\=97.4169\approx98[/tex]

Required minimum sample size = 98