I need help asap solving this!​

I Need Help Asap Solving This!

Answers

Answer 1

Answer:

See Explanation

Step-by-step explanation:

[tex]f(x) = 4 - 6x + 3 {x}^{2}...(1) \\ plug \: x = a \: in \: (1) \\ f(a) = \boxed{ 4 - 6a + 3 {a}^{2} } \\ \\ next \: plug \: x = (a + h) \: in \: (1) \\ f(a + h) = 4 - 6(a + h) + 3 {(a + h)}^{2} \\ = 4 - 6a - 6h + 3( {a}^{2} + {h}^{2} + 2ah) \\ = 4 - 6a - 6h + 3 {a}^{2} + 3{h}^{2} + 6ah \\ f(a + h) = \boxed{3 {a}^{2} + 3{h}^{2} + 6ah - 6a - 6h + 4} \\ \\ now \\ \\ \frac{f(a + h) - f(a)}{h} \\ \\ = \frac{(3 {a}^{2} + 3{h}^{2} + 6ah - 6a - 6h + 4) -(4 - 6a + 3 {a}^{2} ) }{h} \\ \\ = \frac{3 {a}^{2} + 3{h}^{2} + 6ah - 6a - 6h + 4 -4 + 6a - 3 {a}^{2} }{h} \\ \\ = \frac{ 3{h}^{2} + 6ah - 6h }{h} \\ \\ = \frac{3h( {h} + 2a - 2) }{h} \\ \\ \frac{f(a + h) - f(a)}{h} = \boxed{ 3( 2a + h - 2)}[/tex]


Related Questions

An apple has a mass of 150g and a volume of 100cm³ Find its density in g/cm3? pls help

Answers

Answer:

1.5 g/cm³

Step-by-step explanation:

Density is g/cm³.  This means that you have divide the mass by the volume.

(150 g)/(100 cm³) = 1.5 g/cm³

The density of the apple is 1.5 g/cm³.

Answer:

[tex] \boxed{\sf Density = 1.5 g/cm^3} [/tex]

Given:

Mass (m) = 150 g

Volume (V) = 100 cm³

To Find:

Density in g/cm³

Step-by-step explanation:

[tex]\sf Density = \frac{Mass (m)}{Volume (V)} \\ \\ \sf \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = \frac{15 \cancel{0}}{10 \cancel{0}} \\ \\ \sf \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = \frac{15}{10} \\ \\ \sf \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = 1.5 \: g/cm^3 [/tex]

Two intersecting lines l and m form an angle of 56° with each other. The reflection of a point (–4, 1) along the line l followed by a reflection along line m will cause a ________ rotation. Question 18 options: A) 56° B) 112° C) 180° D) 28°

Answers

Answer:

  B)  112°

Step-by-step explanation:

After the double reflection the point is effectively rotated by an amount that is double the angle between the lines of reflection:

  2·56° = 112°

_____

In the attached, lines l and m are separated by 56°, as required by the problem statement.

Nina had 17 marbles in a bag. Her mother put a handful of marbles in the bag. When Nina counts her marbles, she discovers she now has 34 of them. Which of the following equations will help Nina solve for the number of marbles, m, that her mom put in the bag? 17 + 34 = m 17 + m = 34 17m = 34 m − 17 = 34

Answers

Answer:

17+m=34

Step-by-step explanation:

Nina had 17 marbles in a bag + the x amount of marbles that her mom gives her.

so 17+x=34

(x is the variable that I chose however it could be any variable, so it would also mean the same thing as 17+m=34)

Hope this helped!

Answer:

17 + m = 34.

Step-by-step explanation:

Nina had 17 marbles;

Mother put a handful of marbles, let's say m.

Now Nina has 34 marbles.

34 marbles is [=] 17 marbles Nina had before + m from her mother.

17 + m = 34 will be the right equation.

17 + 34 = m — wrong;17 + m = 34 — right;17m = 34 — wrong;m - 17 = 34 — wrong.

The tree house will be 8 feet off the ground. Peter will hang a rope, with knots tied for foot holds. Each knot uses an additional 2 inches of rope. Write an expression for the length of the rope needed if Peter ties n knots and wants the rope to touch the ground. How many inches of rope are needed if there are 8 knots? Explain.

Answers

Answer:

Step-by-step explanation:

The answer is 56.

Answer:

The tree house is 8 feet off the ground, or 96 inches up because (8)(12) = 96. Each knot needs 2 extra inches, so the expression for the length of rope needed is 96 + 2n. If n = 8, then Peter will need 96 + 2(8) = 112 inches of rope.

Step-by-step explanation:

edge

multiply your income by 2 to get your monthly income: $900​

Answers

Answer:

monthly income=$900

the monthly income was multipled by 2

so, real income was, $900/2

=$ 450

so, $450×2=$900...

The real income is $400.

Multiplication

The term multiplication refers to the product of two or more than two numbers.

How to find real income?

Let us assume that the real income is x.

We have to multiply the real income by 2 to get the monthly income of $900.

This implies that [tex]x\times 2=\$900[/tex],

Solving the above expression, we will get

[tex]x\times 2=\$900\\x=\dfrac{900}{2} \\x=400[/tex]

So, the real income is $400.

Learn more about expression here-https://brainly.com/question/14083225

#SPJ2

Please help meeeeeeeee

Answers

Answer:

The lines will intersect infinitely many times, because they are identical.

Step-by-step explanation:

Let's change the equations of the lines into (y=mx+b) form.

6x-4y=2 Divide by 2.

3x-2y=1 Move x and divide by -2.

-2y=1-3x ---> y= -1/2+3/2x

The equation of the first line is y=3/2x- 1/2

-2y+3x=1

-2y=1-3x

y = 3/2x -1/2

The equation of the second line is y = 3/2x- 1/2.

The lines are identical- infinitely many intersections.

Step-by-step explanation:

I think the answer is third because it doesn't has a solution.

I already completed part 1 as pictured, I need help solving part 2. Part 2: (c) How many new homes were completed in the 12-month period through January 2011, and how did that compare to the number of new homes started in 2010? If necessary, round your answer to the nearest whole number. In the 12 month period through January 2011, there were 423,831 new homes completed, which was _________ fewer OR more than the number of new homes in 2010.

Answers

Answer:

423,831104,840 fewer

Step-by-step explanation:

Given:

  281,000 homes sold through Jan 2011 was 66.3% of homes completed

  378,000 homes was a 28.5% decrease from starts in 2010

Find:

  (i) Homes completed in 12 months through Jan 2011

  (ii) Comparison to homes started in 2010

Solution:

(i) Using the given relation, we can find homes completed through Jan 2011.

  281,000 = 0.663×completed

  completed = 281,000/0.663 = 423,831

__

(ii) Similarly, we can find the number of 2010 starts:

  starts(1 -28.5%) = 378,000

  starts = 378,000/0.715 = 528,671

The relation of completions in 2011 to starts in 2010 is ...

  423,831 -528,671 = -104,840

__

Through Jan 2011, there were 423,831 homes completed, which was 104,840 fewer than the number of starts in 2010.

_____

Comment on your question

Your problem statement supplies the answer to the first question in 2(c). Part 1(b) tells you the relation between starts in 2011 and in 2010, so you can easily figure starts in 2010 from your answer to that question.

When graphing any equation what is a great fall back plan if you can't remember the learned procedure? (on all kinds of equations - some with x squared, x cubed etc)

Answers

Answer:

GOOGLE :)

equation:

y=mx+b

m= slope (how steep the line is(negative is \ positive is /))

b= y intercept (where it is on the vertical line(up and down line))

step by step

1. locate y intercept and plotthe point

2.from that point use slop to find second point and plot

Three Savings accounts are advertised. - One savings account offers an APR of 2.43% compounded daily - another one offers an APR of 2.46% compounded monthly - A third offers an APR of 2.47% compounded annually Which one pays the most interest at the end of the one-year explain how you know your answers right

Answers

Answer:

  2.46% monthly pays the most

Step-by-step explanation:

The formula for the effective annual rate of interest when nominal rate r is compounded n times per year is ...

  r' = (1 +r/n)^n -1

For 2.43% compounded daily, the effective annual rate is ...

  r' = (1 +0.0243/365)^365 -1 ≈ 2.4597%

For 2.46% compounded monthly, the effective annual rate is ...

  r' = (1 +0.0246/12)^12 -1 ≈ 2.4879%

For 2.47% compounded annually, the effective annual rate is ...

  r' = (1 +0.0247/1)^1 -1 = 2.47%

__

The account with an APR of 2.46% compounded monthly pays the most interest. (2.49% > 2.47% > 2.46% ⇔ monthly > annually > daily)

You are asked to lift something that is 15 kg. How many pounds is it? lbs

Answers

Answer:

33.0693394

Step-by-step explanation:

1 klio is 2.20462262,just mulipily by 15.

15 kg is about 33 pounds

• A researcher claims that the average wind speed in a certain city is 8 miles per hour. A sample of 32 days has an average wind speed of 8.2 miles per hour. The standard deviation of the population is .6 miles per hour. At 5% level of significance is there enough evidence to reject the claim?

Answers

Answer:

Not reject null hypothesis since the p value is greater than 0.05

Step-by-step explanation:

We have the following:

z = (x ^ -m) / (sd / n ^ (1/2))

Let m be the mean that is 8, sd the standard deviation that is 0.6, n the sample size that is 32 and x the value to evaluate that is 8.2, replacing:

z = (8.2-8) / (0.6 / 32 ^ (1/2)) = 1.89

P (x> 8.2) = P (z> 1.89)  

P (x> 8.2) = 1 - P (z <1.89)

We look for this value in the attached table of z and we have to:

P (x> 215) = 1 - 0.9713 (attached table)

P (x> 215) = 0.0287

since this is a two tailed test, the area of 0.0287 must be doubled the p value

the p value = 0.05794

Therefore, the decision is to not reject null hypothesis since the p value is greater than 0.05

help a girl out pls n thx!!

Answers

Answer:

The answer is option A.

50 degrees

Step-by-step explanation:

To find angle C we use the cosine rule

That's

AB² = AC ² + CB ² - 2(AC)(CB)cos C

AC = 7.5

AB = 6

CB = 6.5

6² = 7.5² + 6.5² - 2(7.5)(6.5)cosC

36 = 56.25 + 42.25 - 97.5cos C

36 - 98.5 = - 97.5 cos C

-62.5 = - 97.5 cos C

cos C = -62.5 / - 97.5

C = cos ^-1 25/39

C = 50.1

The final answer is

C = 50°

Hope this helps you.

A simple random sample of size nequals200 drivers were asked if they drive a car manufactured in a certain country. Of the 200 drivers​ surveyed, 106 responded that they did. Determine if more than half of all drivers drive a car made in this country at the alpha equals 0.05 level of significance. Complete parts ​(a) through ​(d). ​(a) Determine the null and alternative hypotheses. Upper H 0​: ▼ sigma mu p ▼ not equals less than equals greater than 0.5 Upper H 1​: ▼ p mu sigma ▼ less than greater than not equals equals 0.5 ​(b) Calculate the​ P-value. ​P-valueequals nothing ​(Round to three decimal places as​ needed.) ​(c) State the conclusion for the test. Choose the correct answer below. A. Do not reject Upper H 0 because the​ P-value is greater than the alphaequals0.05 level of significance. B. Do not reject Upper H 0 because the​ P-value is less than the alphaequals0.05 level of significance. C. Reject Upper H 0 because the​ P-value is less than the alphaequals0.05 level of significance. D. Reject Upper H 0 because the​ P-value is greater than the alphaequals0.05 level of significance. ​(d) State the conclusion in context of the problem. There ▼ is not is sufficient evidence at the alpha equals 0.05 level of significance to conclude that more than half of all drivers drive a car made in this country. Click to select your answer(s).

Answers

Answer:

Explained below.

Step-by-step explanation:

The information provided is:

n = 200

X = 106

α = 0.05

The sample proportion is:

[tex]\hat p=\frac{X}{n}=\frac{106}{200}=0.53[/tex]

(a)

A hypothesis test is to performed to determine whether more than half of all drivers drive a car made in this country.

The hypothesis is:

H₀: The proportion of drivers driving a car made in this country is less than or equal to 50%, i.e. [tex]\mu_{p}\leq 0.50[/tex]

Hₐ: The proportion of drivers driving a car made in this country is more than 50%, i.e. [tex]\mu_{p}> 0.50[/tex]

(b)

Compute the value of the test statistic:

[tex]Z=\frac{\hat p-\mu_{p}}{\sqrt{\frac{\mu_{p}(1-\mu_{p})}{n}}}[/tex]

   [tex]=\frac{0.53-050}{\sqrt{\frac{0.50(1-0.50)}{200}}}\\\\=0.8485\\\\\approx 0.85[/tex]

Compute the p-value as follows:

[tex]p-value=P(Z_{0.05}>0.85)\\=1-P(Z_{0.05}<0.85)\\=1-0.80234\\=0.19766\\\approx 0.198[/tex]

*Use a z-table.

Thus, the p-value of the test is 0.198.

(c)

Decision rule:

Reject the null hypothesis if the p-value is less than the significance level.

p-value = 0.198 > α = 0.05

The null hypothesis will not be rejected.

The correct option is (A).

(d)

Conclusion:

There is not enough evidence at 0.05 level of significance to support the claim that the proportion of drivers driving a car made in this country is more than 50%.

simplity 1-5(3 + 2-3)?

Answers

Answer:

-9

Step-by-step explanation:

1 - 5 (3 + 2 - 3)

1  −  5  ( 5  −  3 )

1 - 5 x 3

1 - 10

-9

Use pemdas

3+2 -3 = 2
1-5 = -4
-4 x 2 = -8
I hope that helps!

Not sure of how I would solve this

Answers

Third quadrant because the location according to the quadrant chart is matching the coordinates given.

Given: y ll z
Prove: m25+ m2 2 + m26 = 180°
L
A
M
1
2
3
y
4
5
6
7
Z
С
B
Assemble the proof by dragging ties to
the Statements and Reasons columns.

Answers

Answer:

As per the properties of parallel lines and interior alternate angles postulate, we can prove that:

[tex]m\angle 5+m\angle 2+m\angle 6=180^\circ[/tex]

Step-by-step explanation:

Given:

Line y || z

i.e. y is parallel to z.

To Prove:

[tex]m\angle 5+m\angle 2+m\angle 6=180^\circ[/tex]

Solution:

It is given that the lines y and z are parallel to each other.

[tex]m\angle 5, m\angle 1[/tex] are interior alternate angles because lines y and z are parallel and one line AC cuts them.

So, [tex]m\angle 5= m\angle 1[/tex] ..... (1)

Similarly,

[tex]m\angle 6, m\angle 3[/tex] are interior alternate angles because lines y and z are parallel and one line AB cuts them.

So, [tex]m\angle 6= m\angle 3[/tex] ...... (2)

Now, we know that the line y is a straight line and A is one point on it.

Sum of all the angles on one side of a line on a point is always equal to [tex]180^\circ[/tex].

i.e.

[tex]m\angle 1+m\angle 2+m\angle 3=180^\circ[/tex]

Using equations (1) and (2):

We can see that:

[tex]m\angle 5+m\angle 2+m\angle 6=180^\circ[/tex]

Hence proved.

Answer: yes

Step-by-step explanation: yes

How can you write arithmetic and geometric sequences using recursive and explicit formulas modeled in a real world context?

Answers

Answer:

The answer is below

Step-by-step explanation:

They would be written like this:

Arithmetic Progression:

Explicit formula

Tn = a + (n-1) * d

Recursive formula

Tn = Tn-1 + d

Where a is the first term, d is the common differance and n is the number of terms.

Geometric Progression:

Explicit formula

Tn = a * r ^ (n-1)

Recursive formula

Tn = Tn-1 * r

Where r is common ratio

Compare the function ƒ(x) = –x2 + 4x – 5 and the function g(x), whose graph is shown. Which function has a greater absolute maximum (vertex)? Question 4 options: A) g(x) B) g(x) and ƒ(x) have equal absolute maximums. C) ƒ(x) D) There isn't enough information given.

Answers

Answer:

A) g(x) has a greater absolute maximum.

Step-by-step explanation:

Given graph of g(x) which is a Parabola

1. Opens downwards

2. The absolute maximum (vertex) is at around (3.5, 6)

i.e. value of absolute maximum is 6.

Another function:

[tex]f(x) =-x^{2}+4x-5[/tex]

Let us convert it to vertex form to find its vertex.

Taking - sign common:

[tex]f(x) =-(x^{2}-4x+5)[/tex]

Now, let us try to make it a whole square,

Writing 5 as 4+1:

[tex]f(x) =-(x^{2}-4x+4+1)\\\Rightarrow f(x) =-((x^{2}-2 \times 2\times x+2^2)+1)\\\Rightarrow f(x) =-((x-2)^{2}+1)\\\Rightarrow f(x) =-(x-2)^{2}-1[/tex]

Please refer to attached graph of f(x).

We know that, vertex form of a parabola is given as:

[tex]f (x) = a(x - h)^2 + k[/tex]

Comparing the equations we get:

a = -1 (Negative value of a means the parabola opens downwards)

h = 2, k = -1

Vertex of f(x) is at (2, -1) i.e. value of absolute maximum is -1

and

Vertex of g(x) is at (3.5, 6)

i.e. value of absolute maximum is 6.

Hence, correct answer is:

A) g(x) has a greater absolute maximum.

Answer:

g(x) has a greater absolute maximum.

www.g "You roll a fair six-sided die twice. Find the probability of rolling a 4 the first time and a number greater than 3 the second time."

Answers

The probability of rolling a 4 is 1/6.

The probability of rolling a number greater than 3, means choosing 4 or 5 or 6.

That would be a probability of 1/2.

Therefore probability of both is 1/6 • 1/2 = 1/12

Answer is 1/12

what is the value of -x+ the absolute value of -y

Answers

Answer:

[tex]-x+| \: y\: |[/tex]

Step-by-step explanation:

[tex]-x+|-y|[/tex]

[tex]\mathrm{Apply\:absolute\:rule}: \left|-y\right|\:=| \: y\: |[/tex]

[tex]-x+| \: y\: |[/tex]

two bags contains 10 balls each. Every round you choose with equal probability one of the two bags and pick out a ball. After a while, you choose an empty ball. What is the probability for the other bag to contain exactly 4 balls at that time?

Answers

Answer:

6.10%

Step-by-step explanation:

For every round since we are choosing with equal probability, then the probability of choosing from either of the bags is 1/2

Here, this scenario is only possible when a particular bag has been chosen 10 times and the other bag has been chosen 6 times ( meaning a particular bag has been emptied and for a particular bag to be emptied, all of its content would have been picked)

Now on the 17th trial, an empty bag is chosen

Therefore the required probability will be;

16C0 * (1/2)^10 * (1/2)^6 * 1/2 = 0.0610 = 6.1%

Cereal costs 2.79 for 16.4 ounces. At this rate how much does 25 ounces of cereal cost? Round to the Nearest Cent.

Answers

Answer:

$4.25

Step-by-step explanation:

We can create a proportion to find how much 25 oz will cost:

[tex]\frac{2.79}{16.4}[/tex] = [tex]\frac{x}{25}[/tex]

We can cross multiply to find x.

16.4x = 69.75

x = 4.25

So, this means 25 ounces of cereal will be $4.25

help asapppp....thanks​

Answers

Answer:

a) -8x^3 + x^2 + 6x

b)16x^2 -9

c) 24x^4 + 37x^3 +13x^2 -18x

Step-by-step explanation:

a) distribute -2x to x and 4x^2 then do the same for the other part and then add the ones w the same exponent.

b) do foil ( multiply first outside inside last) which will be 4x times 4x then 4x times 3 then -3 times 4x and 3 times -3. add like exponents

c) do the same as above

Identify the function value which will be used for M,, the maximum function value on the i, j - th rectangle.
a. f (xi-1»Y;-1)
b. f (x-1,Y;)
c. f(x,y;-))
d. f(x;,y;)
e. None of these

Answers

Answer:

A.

Step-by-step explanation:

A. i just took the test

A particle moves along line segments from the origin to the points (2, 0, 0), (2, 5, 1), (0, 5, 1), and back to the origin under the influence of the force field F(x, y, z)
Find the work done.

Answers

Answer:

Work done = 0 J

Step-by-step explanation:

work done= ∫ F. dr

                   = [tex]\int\limits^2_0 {x} \, dx[/tex] +  [tex]\int\limits^2_2 {x} \, dx[/tex]  + [tex]\int\limits^0_2 {x} \, dx[/tex]  + [tex]\int\limits^0_0 {x} \, dx[/tex]  +  [tex]\int\limits^0_0 {y} \, dy[/tex]  + [tex]\int\limits^5_0 {y} \, dy[/tex]  + [tex]\int\limits^5_5 {y} \, dy[/tex]  + [tex]\int\limits^0_5 {y} \, dy[/tex] + [tex]\int\limits^0_0 {z} \, dz[/tex]  + [tex]\int\limits^1_0 {z} \, dz[/tex]  + [tex]\int\limits^1_1 {z} \, dz[/tex]  + [tex]\int\limits^0_1 {z} \, dz[/tex]

Work done= x²/2 + y²/2 + z²/2

Applying integral limits for entire pathway

Work done= 2 + 0 -2 + 0 + 0+ 25/2 - 25/2 + 0 + 1/2 + 0 - 1/2

Work done = 0 J

6th grade math , help me please :)

Answers

Answer:

A= 20x

B= 15n

C= 15x+ 9

D= a + 15

E= 9x + 3y

F= 10w + 10z

Step-by-step explanation:

Suppose that y is directly proportional to x and that y = 16 when x = 8. Find the constant of proportionality k.
Then, find y when x = 12.

Answers

Answer:  24

Step-by-step explanation:

Variation: y  ∞  x

y  =  kx , where k is the constant of proportionality

now to find k, we substitute for y and x in the equation above

16 = 8k

therefore,

k = ¹⁶/₈

  = 2.

Now, to find y , we move back to the equation above and substitute for x and k to get y

y =   12(2)

  =  24

Help ASAP! Which of the functions listen has the same graph as x + y = 11??

Answers

Answer:

f(x)=-x+11

Step-by-step explanation:

4 − –5f = –66 f = _______

Answers

Answer:

f = -14

Step-by-step explanation:

given:

4 − (–5f) = –66

4 + 5f = -66   ( subtract 4 from both sides)

5f = -66 - 4

5f = -70  (divide both sides by 5)

f = (-70) / 5

f = -14

please helpppp As soon as possible

Answers

Answer: 4 pairs

Step-by-step explanation:

121-16=105.   However, 121 can be made by squaring -11 or 11.  16 can be made by squaring 4 or -4.  Thus, the choices are 11,4 11,-4 -11,4 -11,-4

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