Given that x² - 6x + 1 = (x-a)² - b for all values of x, (i) find the value of a and the value of b.​

If the function is translated 5 units down of the graph of f, the resulting function will be g(x) =. |x|-8

Translation is the technique that is used to change the position of a figure on an xy-plane.

For instance, if the function f(x) is translated k units down the graph, the resulting function will be g(x) = f(x) - k

Given the function f(x)=|x|-3, if the function is translated 5 units down of the graph of f, the resulting function will be;

g(x) = f(x) -  5

g(x) = |x|-3 - 5

g(x) =. |x|-8

Learn more on translation here: https://brainly.com/question/12861087

#SPJ1

On subtracting 12.82 from 43.3 we get 30.48 as answer.

How to subtract decimal numbers?

Write down decimal numbers such that the number from which you have to subtract is written first and number which you have to subtract from the fist number is written just below it such that the decimal is just lined below another decimal

For example if we have to subtract 4.2 from 12.8

we write it like   1 2 . 8

                         - 0 4 . 2

                        ______

                            0 8 . 6       and the starting from right start subtracting

Given 43.3-12.82

          4 3 . 3 0

     -    1 2 . 8 2

_______________

          3 0  . 4  8    

Learn more about subtraction of  decimal numbers at

https://brainly.com/question/2346316

#SPJ1

Rating each statement below on a scale from best to worst will be:

1. You read an article in a science journal from 50 different labs around the world that have tested the temperature of water and found that it boils at 100°C in every location.

2. You used a thermometer to measure the temperature at which water boiled. You repeated the experiment 3 times. Each time the thermometer read 100°C.

3. Your cousin said that he tested the temperature of boiling water and found that it was 100°C.

4. Most people you know believe that water boils at 100°C.

It should be noted that the science journal will give the most accurate information. Therefore, it's the best.

It should be noted that the fact that most people you know believe that water boils at 100°C doesn't necessarily mean it's correct. It wasn't tested. Therefore, it's the worst.

Learn more about experiments on:

brainly.com/question/17274244

#SPJ1

5x+30=45

tkae the 30 to the other side and it becomes

5x=45-30

that gives you 15. then you want to divide 5 by 15

and then that gives you 3

x=3

Hope this helps you!

Answer:

1 lb corn and 4 lb lima beans

Step-by-step explanation:

Let x = weight of corn.

Let y = weight of lima beans.

x + y = 5

0.6x + 1.1y = 5

x = 5 - y

0.6(5 - y) + 1.1y = 5

3 - 0.6y + 1.1y = 5

0.5y = 2

y = 4

x + y = 5

x + 4 = 5

x = 1

Answer: 1 lb corn and 4 lb lima beans

The range of the population standard deviation with a 95% confidence level  = 0.33 ≤ σ ≤ 0.87.

A data distribution's spread is measured by standard deviation. It calculates the average separation between each data point. Whether we consider the data to be a population unto itself or a sample of a larger population affects the formula we use to calculate standard deviation.

Sample data, x: {6.5, 6.6, 6.7, 6.8, 7.1, 7.3, 7.4, 7.7, 7.7, 7.7}

Sample size n = 10

Applying chi-square statistics with df=n-1=9-1=8

now 95% confidence interval is given by:

= [tex]\sqrt{\frac{(n-1) S^2}{\chi_{8,0.025}^2}} < \sigma < \sqrt{\frac{(n-1) S^2}{\chi_{8,0.975}^2}}[/tex]

= [tex]\sqrt{\frac{(9-1) * 0.462^2}{17.53}} < \sigma < \sqrt{\frac{(9-1) * 0.462^2}{2.18}}[/tex]

=  0.107 ≤ σ² ≤ 0.757

= 0.33 ≤ σ ≤ 0.87

The range of the population standard deviation with a 95% confidence level  = 0.33 ≤ σ ≤ 0.87.

To know  more about standard deviation visit:

https://brainly.com/question/16555520

#SPJ4

I understand that the question you are looking for is:

The values listed below are waiting times (in minutes) of customers at the Jefferson Valley Bank, where customers enter a single waiting line that feeds three teller windows. Find the sample variance s2 then construct a 95% confidence interval for the population standard deviation σ. Round sample variance to three decimal places. Assume that the population has a normal distribution. Critical values should have three decimal places and confidence interval limits should have two decimal places.

6.5, 6.6, 6.7, 6.8, 7.1, 7.3, 7.4, 7.7, 7.7, 7.7

Answer: x∈(-∞,-2√6-2)U(2√6-2,+∞)

Step-by-step explanation:

[tex]\displaystyle\\y=\frac{1}{4} (x+2)^2-6\\y > 0\\Hence,\\\frac{1}{4}(x+2)^2-6 > 0 \\\\\frac{1}{4}(x+2)^2-6+6 > 0+6\\\\\frac{1}{4}(x+2)^2 > 6\\[/tex]

Multiply both parts of the equation by 4:

[tex](x+2)^2 > 24[/tex]

Extract the square root of both parts of the inequality:

[tex]|x+2| > \sqrt{24} \\|x+2| > \sqrt{4*6} \\|x+2| > 2\sqrt{6}[/tex]

Expand the modulus - we get a set of inequalities:

[tex]\displaystyle\\\left [{{x+2 > 2\sqrt{6}\ \ \ \ (1) } \atop {-(x+2) > 2\sqrt{6} \ \ \ (2)}} \right.\\[/tex]

Multiply both parts of inequality (2) by -1 and reverse the sign of the inequality:

[tex]\displaystyle\\\left [ {{x+2-2 > 2\sqrt{6}-2 } \atop {x+2 < -2\sqrt{6} }} \right. \ \ \ \ \ \left [ {{x > 2\sqrt{6}-2 } \atop {x+2-2 < -2\sqrt{6} -2}} \right. \ \ \ \ \ \left [ {{x > 2\sqrt{6}-2 } \atop {x < -2\sqrt{6}-2 }} \right.[/tex]

Thus,

[tex]x\in(-\infty,-2\sqrt{6}-2)U(2\sqrt{6} -2,+\infty)[/tex]

[tex]\begin{array}{ccll} \stackrel{hours}{t}&\stackrel{height}{h}\\ \cline{1-2} 3&20\\ 5&19 \end{array}[/tex]  with those values provided from the table, let's get its equation

[tex](\stackrel{x_1}{3}~,~\stackrel{y_1}{20})\qquad (\stackrel{x_2}{5}~,~\stackrel{y_2}{19}) ~\hfill \stackrel{slope}{m}\implies \cfrac{\stackrel{rise} {\stackrel{y_2}{19}-\stackrel{y1}{20}}}{\underset{run} {\underset{x_2}{5}-\underset{x_1}{3}}} \implies \cfrac{19 -20}{5 -3} \implies -\cfrac{ 1 }{ 2 }[/tex]

[tex]\begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{20}=\stackrel{m}{-\cfrac{ 1 }{ 2 }}(x-\stackrel{x_1}{3}) \implies y-20=-\cfrac{ 1 }{ 2 }x+\cfrac{3}{2} \\\\\\ y=-\cfrac{ 1 }{ 2 }x+\cfrac{3}{2}+20\implies y=-\cfrac{ 1 }{ 2 }x+\cfrac{43}{2}\implies \LARGE \begin{array}{llll} h=-\cfrac{ 1 }{ 2 }t+\cfrac{43}{2} \end{array}[/tex]

how talll will the candle be after 8 hours?  namely when t = 8.

[tex]h=-\cfrac{ 1 }{ 2 }(8)+\cfrac{43}{2}\implies h=-4+\cfrac{43}{2}\implies h=\cfrac{35}{2}\implies \LARGE \begin{array}{llll} h=17\frac{1}{2} \end{array}[/tex]

Answer:

D

Step-by-step explanation:

a×10=0.07

a=0.07/10

=0.007

Answer:

D

Step-by-step explanation:

0.007 if you multiply this by 10 you move the decimal one place to the right, t hat would be 0.07

Answer:

Step-by-step explanation:

One square millimeter converted into square meter equals = 0.0000010 m2 , sq m

1 mm2 , sq mm = 0.0000010 m2 , sq m

Answer:

I think 50,682,000 square milliliters

Step-by-step explanation:

Answer in the picture !!!

Answer: For each direct variation, find the constant of variation. Then find the value of $y$ when $x=-5 .$

$y=-\frac{2}{3}$ when $x=-\frac{1}{3}$

Step-by-step explanation:

The linear equation for the area is:

40 = 7*(x + 4)

The solution is x = 1.71 = x

Remember that for a rectangle of length L and width W, the area is:

A = L*W

In this case, we can see that:

W = 7

L = x + 4

A = 70

Replacing that, we can get the linear equation:

40 = 7*(x + 4)

Now we can solve this, we jus need to isolate x.

40/7 = x + 4

40/7 - 4 = x

5.71 - 4 = x

1.71 = x

The solution is x = 1.71 = x

Learn more about linear equations:

https://brainly.com/question/1884491

#SPJ1

Step-by-step explanation:

1. Cloud of Dust and gas

2. solar system formation

3. spinning disc

4. early solar system today

Answer:

8

Step-by-step explanation:

The biggest common factor number is the GCF number. So the Greatest Common Factor 16, 24, 48 is 8.

please make my answer as brainelist

The measurement of the actual angle NOP is 56° when it is being dilated by the scale factor of 2 to form the dilated angle NOP as 112° .

We are given the dilated angle as:

∠ NOP = 112°

The scale factor for dilation is given as 2.

Now, we need to find the value of actual angle NOP.

For this, we will divide the dilated angle NOP with the scale factor of dilation.

So, we will get the result as:

Actual ∠ NOP = 112° / 2

Actual ∠ NOP = 56°

Therefore, we get that, the measurement of the actual angle NOP is 56° when it is being dilated by the scale factor of 2 to form the dilated angle NOP as 112° .

Learn more about dilation here:

https://brainly.com/question/3457976

#SPJ9

Answer:

Charge 26, 78, 130, 182, 234

Step-by-step explanation:

If Heads is (1,3,5,7,9) CHARGE and charge is (26,0,0,0,0) if 1 head=26 then you can just multiply or use repetitive addition if you were to multiply do 3x26=78, 5x26=130, 7x26=182, and 9x26=324. If you were to use repetitive addition do 26+26+26=78, 26+26+26+26+26=130, 26+26+26+26+26+26+26=182, and 26+26+26+26+26+26+26+26+26=234.

I hope it helps!

~XxBells is a cute girlxX~

Answer:

(0,5)

Step-by-step explanation:

Answer:

subduction zones <3333

The Surface area to be painted = 512 ft²

The surface area of a rectangular prism = 2(w × l + h× l + h × w). Where:

w = width of the rectangular prism

h = height of the rectangular prism

l = length of the rectangular prism

The block column has a shape of rectangular prism. Therefore, the surface area that Richard needs to paint which excludes the bottom of the block = 2(w × l + h× l + h × w) - l × w.

Plug in the values

Surface area to be painted = 2(8 × 10 + 12 × 10 + 12 × 8) - 10 × 8

Surface area to be painted = 592 - 80

Surface area to be painted = 512 ft²

Learn more about the surface area of rectangular prism on:

https://brainly.com/question/1310421

#SPJ1

Kendra's samples are precise but not accurate.

To learn more about precision, visit :

https://brainly.com/question/28336863

#SPJ4

Step-by-step explanation:

you can ask questions for clarification

Answer:

64

Step-by-step explanation:

16 chapters per hour times 4 hours is 64 chapters

The angle of m1, angle of m2 and angle of m3 is 101°, 79° and 101° respectively.

It is given that the angle of m4 is 79°.

To find angles m1, m2 and m3 :

As we know that angle m4 is equal to angle m2 (because they are vertically off opposite angle).

So, angle m2 = 79º

In the same manner the angle of m1will be equal to angle m3.

Now, we can see that in the figure the angles m2 and m1 is lying on one plane, and a plane line makes a angle of 180º

So,

m2+m1 = 180º

79º+m1 = 180º

m1 = 180º-79º

Angle m1 = 101º

And, as we can see that the angles m1 and m3 are vertically of opposite angle.

So, m1= m3= 101º

Hence, angle m1=101º,

            angle m2= 79º,

 And,    angle m3=101º.

To learn more about vertically of opposite angle visit https://brainly.com/question/18588174

#SPJ9

The length of the circle's radius = 744.92 cm

Given the length of arc of a circle, arc length = 269⁢π cm

Central angle of a circle is the angle made between the radius through the arc length at the center of the circle.

The corresponding central angle = 65°

To find the corresponding central angle in radians = 65° x π/180 = 13π/36 radians

We have, arc length of a circle = radius x central angle

Therefore, radius of the circle = arc length / central angle

                                                  =  269⁢π /(13π/36)

                                                  = 744.92 cm

Learn more about arc length of a circle at https://brainly.com/question/28108430

#SPJ4

Answer:

3/1

Step-by-step explanation:

Beginning from 10, you count upward until you come across a point that's directly underneath a number to the x-axis.

In this case, you'd go upward 3 times, locating the y-axis at 30.

Then you would go either left or right and count how many times you do that.

In this case, you'd go right 1 time, locating the x-axis at 10.

Hence, the slope would be rise over run, or y over x.

In this case, the slope would be 30/10.

To simplify that, it would be 3 over 1.

To simplify it even more, it would just be 3.

Hope this helps.

The given quadratic polynomial function f(x) = 2x² - 4x - 6 has the vertex at (1, -8). Thus, the correct option is option C.

A quadratic polynomial function is a function which may be written in the form of ax² + bx + c = 0 where a, b and c are coefficients and x is the variable of the function. The quadratic polynomial function forms a parabola when plotted on the graph.

To find the vertex to the quadratic polynomial function we determine the value of x coordinate by the formula (-b/2a) and substitute the value of x in the polynomial function to get the value of y coordinate.

f(x) = 2x² - 4x - 6.

x coordinate = (-b/2a)

x = (4/2×2)

x = 4/4

x = 1

Now, the value of y coordinate = 2(1)² - 4(1) - 6

y = -8.

Thus, the given quadratic polynomial function f(x) = 2x² - 4x - 6 has the vertex at (1, -8).

Learn more about Quadratic polynomial function at:

brainly.com/question/18717144

#SPJ9

Step-by-step explanation:

39× 99

= -39×(100 - 1)

= (-39×100) - (-39 × 1)

= -3900 + 39

= -3861

Answer:

-3751

Step-by-step explanation:

you multiple times to the /number