given f(x)=x(x-3)+4 what is the derivative of f at a?

Answer:

|Z| = |-4.089| > 1.645 at 0.10 level of significance

Null hypothesis is rejected at  0.10 level of significance

There is a difference between the two Population proportions

Step-by-step explanation:

Step(i):-

Given first sample size (n₁)  = 50

Given  proportion of the first sample p⁻₁= 0.2

Given second sample size (n₂)  = 50

Given proportion of the second sample p₂⁻ = 30/50 = 0.6

Null Hypothesis : H₀: p₁⁻=p₂⁻

Alternative Hypothesis : H₁: p₁⁻≠p₂⁻

Step(ii):-

Z-statistic

             [tex]Z = \frac{p_{1} -p_{2} }{\sqrt{pq(\frac{1}{n_{1} } +\frac{1}{n_{2}) } } }[/tex]

Where

         [tex]P = \frac{n_{1}p_{1} +n_{2} p_{2} }{n_{1} +n_{2} }[/tex]

        [tex]P = \frac{50X0.2+50X0.6}{50+50} = 0.4[/tex]

Z-statistic

      [tex]Z = \frac{0.2-0.6}{\sqrt{0.4 X 0.6(\frac{1}{50}+\frac{1}{50} } }[/tex]

     Z =  -4.089

Level of significance =0.10

Z₀.₁₀ = 1.645

|Z| = |-4.089| > 1.645 at 0.10 level of significance

Null hypothesis is rejected at  0.10 level of significance

Final answer:-

There is a difference between the two Population proportions

9514 1404 393

Answer:

  see below

Step-by-step explanation:

First row

Fill in the given x-value and solve for y:

  3(-4) +2y = -6

  -12 +2y = -6

  -6 +y = -3 . . . . . divide by 2

  y = 3 . . . . . . . . . add 6

__

Second row

Fill in the given y-value and solve for x:

  3x +2(0) = -6

  x = -2 . . . . . . . . . divide by 3

Answer:

I have no idea Im so sorry i tried to understand all i could think of is x+y=99

Correct question is;

Complete this division sentence.

9988 ÷ 23 = R

Answer:

9988 ÷ 23 = 434 R 6

Step-by-step explanation:

....... 434

_________

23|9988

......92

¯¯¯¯¯¯¯¯¯¯¯

........ 788

.........69

¯¯¯¯¯¯¯¯¯¯

........... 98

............92

¯¯¯¯¯¯¯¯¯¯¯

............. 6

Thus ; 9988 ÷ 23 = 434 R 6

Answer:

3/7

Step-by-step explanation:

12 ÷ 4

28 ÷ 4

Answer:

The equation of the parabola in standard is [tex]y=x^{2}+5x-1[/tex]

Step-by-step explanation:

The standard form equation of the parabola is:

[tex]y=ax^{2}+bx+c[/tex]

Using the three points we can find a, b and c.

Let's put the first point (0,-1)into the standard form equation.

[tex]-1=a(0)^{2}+b(0)+c[/tex]

[tex]c=-1[/tex]

Using the second point (1,5) and the value of c found above.

[tex]5=a(1)^{2}+b(1)+c[/tex]

[tex]5=a+b-1[/tex]

[tex]6=a+b[/tex] (1)

Finally using the las point (-1,-5)  

[tex]-5=a(-1)^{2}+b(-1)+c[/tex]

[tex]-5=a-b-1[/tex]

[tex]-4=a-b[/tex] (2)  

Solving the system of equations (1) and (2) we can find a and b.

[tex]6=a+b[/tex]

[tex]-4=a-b[/tex]

Adding both of them we have:

[tex]2=2a[/tex]

[tex]a=1[/tex]

And b = 5.

Therefore, the equation of the parabola in standard form will be.

[tex]y=x^{2}+5x-1[/tex]

I hope it helps you!  

Answer:

B 12x + 9.5y ≤ 220 AND x + y ≤ 20

Step-by-step explanation:

Answer:

A.12x + 9.5y ≤ 220 AND x + y ≥ 20

Step-by-step explanation:

≤ 220 symbolizes that he can earn 220 or more than 220.

≥ 20 symbolizes that he can work 20 hours or less.

Answer:

1/2x+3

Step-by-step explanation:

I graphed it

I’m pretty sure this is how you do these kinds of questions, but I may be entirely wrong, so don’t 100% trust me on this one

Answer:

4 shirts

Step-by-step explanation:

127.96 - 76 (54+22)

51.96 / 12.99 = 4

Answer:

The last choice 8,240,000.

Step-by-step explanation:

The exponent 6 tells us there are 6 digits after the first digit (8).

Answer is 8,240,000

Answer:

D

Step-by-step explanation:

Proportional relationships come in the form

[tex]y=kx[/tex]

and [tex]k[/tex] is the constant of proportionality. By comparing the general case [tex]y=kx[/tex] and your specific case [tex]y=12x[/tex], you can see that in your case [tex]k=12[/tex].

In the equation y = 12x the constant of proportionality is D. 12.

A ratio is a comparison between two similar quantities in simplest form.

Proportions are of two types one is the direct proportion in which if one quantity is increased by a constant k the other quantity will also be increased by the same constant k and vice versa.

In the case of inverse proportion if one quantity is increased by a constant k the quantity will decrease by the same constant k and vice versa.

Let y = kx.

∴ k = y/x.

Given, y = 12x.

12 = y/x.

So, the constant of proportionality is 12.

learn more about proportion here :

https://brainly.com/question/7096655

#SPJ5

Answer:

60 cm 2

Step-by-step explanation:

Answer:

60 cubic cm

Step-by-step explanation:

i just multiplied 3 x 4 x 5 and that gave me 60 and cubic cm

hoped it helped :)

Answer:

The awnser is A or -7/5

Step-by-step explanation:

you have to put the points into the formula y²-y¹/x²-x¹ (this is a fraction the y part is on top and the x part is on the bottom) then you need to plug in the numbers so it would look like 5-(-2)/-2-3. then you would add 5+2 since that is what -(-) means. then you would take 2+3 as -2-3. so the awnser would be -7/5.

Hope this helps

Answer:

8

Step-by-step explanation:

Since the sides are congruent, the angles are as well. So if you draw point W along line RT, then the angle W and S are the same, so the length is also the same, which is 8.

please hit the heart button :)

Answer:

6

Step-by-step explanation:

Answer:

3 milkshakes 3 sundaes

Step-by-step explanation:

First write the equation.

y = total cost

x = cost of sundae

z = cost of milkshake

21=2x+5z

x+z=6 or x = 6-z

substitute in x = 6-z into the first equation

21 = 2(6-z) + 5z

21 = 12 - 2z + 5z

21 = 12 + 3z

subtract 12 from both sides

21 - 12 = 12 - 12 + 3z

9 = 3z

divide both sides by 3

3 = z

so she bought 3 milkshakes.

That means x+z = 6 and z=3 so

x+ 3 = 6, then x=3 as well, so she bought 3 sundaes.

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Answer:

she bought 3 sundaes and 3 milkshakes

Step-by-step explanation:

let's call the amount of milkshakes M.

let's call the amount of sundaes S.

you know that in total, there are 6 children.

so, you can make the following equation:

M + S = 6

if the milkshakes cost 5$ each, then the cost of the milkshakes can be expressed as 5m

if the sundaes cost 2$ each, then the cost of the sundaes can be expressed as 2S

you also know that Mrs. Browning spent 21$ in total.

so, you can make the following equation:

5m + 2S = 21

this is a system of equations.

using the first equation, you know that M = 6 - S

you can substitute M for 6 - S in the second equation

5m + 2s = 21

5(6 - s) + 2s = 21

30 - 5s + 2s = 21

30 - 3s = 21

30 = 21 + 3s

30 - 21 = 3s

9 = 3s

now that you know how many sundaes there are, you can substitute that into the first equation:

m + s = 6

m + 3 = 6

m = 6 - 3

Answer:

False

Step-by-step explanation:

No options is attached to the question. However, I'll assume it's a true or false question.

Represent the radius with r.

The circumference is calculated as:

X = 2πr

When the radius is doubled, the new radius R is

R = 2r

And the new circumference, C is:

C = 2πR

Substitute 2r for R

C = 2π * 2r

C = 4πr

Factorize the above equation.

C = 2 * 2πr

Recall X = 2πr;

The expression becomes:

C = 2 * X

C = 2X

This means that the circumference is doubled, not quadrupled.

Hence, the statement is false.

Answer:

False.

Step-by-step explanation:

Any straight line may have infinite number of points (solutions) lying on it.

Therefor, straight line 'l' can't have exactly two solutions.

Line 'l' will have infinitely many solutions.

Exactly one or two solutions are possible only when two lines or functions intersect each other.

Therefore, answer is false.

Answer:

y = 1/3 x 2 +4 x + 15

Step-by-step explanation:

y = a (x - h)2 + k

where (h,k) are the coordinates of the vertex and a is a multiplier

here (h,k) = ( - 6, 3)

y = a ( x + 6)2 + 3

to find a substitute (12,9) into the equation

9 = 18 a + 3

18 a = 9 - 3 = 6 a = 6/18 = 1/3

y = 1/3 (x + 6)2 + 3

distributing gives

y = 1/3 (x2 + 12x + 36) + 3

y = 1/3x2 + 4x + 15

Answer:

i tkinhk it 1.30

Step-by-step explanation:

Answer:

Step-by-step explanation:

400 ÷ 16 = 25.

16 ÷ 16 = 1.

1 gallon = 25 miles.

275 ÷ 25 = 11

In conclusion, the car used 11 gallons for 275 miles.

Hope this helps!

Answer:

12,435 bats

Step-by-step explanation:

We need to figure out how many bats were produced.

First let's write the equation. Cost is $28 for each bat, and we start with fixed expenses of $58,780

y=28x + 58780

We are given y, total expenses at 406,960

so 406,960 = 28x + 58780

subtract 58780 from both sides

406,960 - 58,780 = 28x

348,180 = 28x

divide both sides by 28

12,435 = x

This means they produced 12,435 bats.

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Answer:

The answer is 2 : 3.

Step-by-step explanation:

First, you have to convert the units to minutes :

1 hr = 60 min

1/2 hr = 60 × 1/2 = 30 min

Then, you have to simplify the ratio to simplest form :

30 : 45

= (30÷15) : (45÷15)

= 2 : 3

Answer:

To see the ratio, we should have both in the same unit. We can pass 1/2 hour to minutes, as we know one hour are 60 minutes:

60/2 = 30

So we know half hour are 30 minutes.

Now, we know the ratio 30:45, but we can simplify it, as a fraction.

To simplify it, we will divide both numbers by the same quantity, in this case, divide 30 and 45 by 15 (a it's a divisor):

30/15 = 2 and 45/15 = 3, so the ratio is 30:45, which is equivalent to 2:3

Answer:

(b) the relationship between two quantitative variables

Step-by-step explanation:

Correlation and regression techniques can be explained as a statistical techniques which measures the degree and type of relationship that exists between two variables (dependent and independent). These evaluated variables must be quantitative in nature in other to apply thus statistical method of establishing relationship and making predictive analysis. The relationship may be univariate or multivariate in nature. The correlation and regression technique won't work on data presented or represented in categorical or labeled format. The relationship may be positive or negative with the correlation Coefficient measuring the strength of the relationship between the variables.

Answer:

77 is the answer your welcome

Answer:

The 3rd one

Step-by-step explanation:

Can have brainliest

Answer:

The 3rd one

Step-by-step explanation:

hope it helps

also can i have brainlist

Answer:

P>1

Step-by-step explanation:

Step 1: Simplify both sides of the inequality.

P+17>18

Step 2: Subtract 17 from both sides.

P+17-17>18-17

P>1