Identify the vertex of the function f(x) = |x-^1/2|-2

9514 1404 393

Answer:

ii)

iii)

Step-by-step explanation:

Straightforward addition and subtraction. You could do this in 2nd grade. Work from lower right to upper left.

ii) 30 -11 = 19; 6 -5 = 1 . . . .  bottom two rows

  20 -1 = 19; 16 -5 = 11 . . . . right two columns

  36 -16 = 20 . . . . top row

Check

  36 -6 = 30 . . . . left column

Then the solution by row is ...

__

iii) Same deal, working from lower right.

  20 -4 = 16 . . . . bottom row

  9 +7 = 16 . . . . right column

  6 -2 = 4 . . . . middle column

  5 +2 = 7 . . . . middle row

  15 -6 = 9 . . . . top row

  15 +5 = 20 . . . . left column

The solution by row is ...

Answer:

i) pi×4500 cm³

ii) pi×600 cm²

iii) 14 liters

Step-by-step explanation:

in general : the diameter is 30 cm, the radius is half of that (15 cm)

i)

the volume of a cylinder is base area times height.

Vc = pi×r²×h = pi×15²×20 = pi×225×20 = pi×4500 cm³

ii)

similar to volume, the side "mantle" area of the cylinder is the circumference of the base area times height.

surface area of the cylinder mantle is

Scm = 2×pi×r×h = 2×pi×15×20 = pi×30×20 = pi×600 cm²

iii)

for this we need now to do the multiplication with pi and then convert the cm³ to liters.

1 liter = a cube of 10 cm side length = 10×10×10 = 1000 cm³

pi×4500 = 14137.17 cm³ = 14.13717 liters or rounded 14 liters

Answer:

16 cents per pound

Step-by-step explanation:

Take the cost and divide by the number of pounds

96 cents / 6 lbs

16 cents per pound

Answer:

Yes, your right!

Contribution per head

Option A

Answer:

-16

Step-by-step explanation:

The absolute value of 2 is 2 so -8*2=-16

Answer:

the answer=28.27cm

using formula

c=2πr

d=2r

solving for c

C=πd

=π.9

=28.27

hope it help you

Answer:

⅝ pounds

Step-by-step explanation:

Weight at birth = 8¼ pounds

Weight after two weeks = 8⅞ pounds

[tex]Weight \: gain \\ = Weight \: after \: two \: weeks - Weight \: at \: birth \\ = 8 \frac{7}{8} \: pounds - 8 \frac{1}{4} \: pounds \\ = (8 \frac{7}{8} \: - 8 \frac{1}{4}) \: pounds \\ = (8 \frac{7}{8} \: - 8 \frac{2}{8}) \: pounds \\ = ( \frac{7}{8} \: - \frac{2}{8}) \: pounds \\ = \frac{5}{8} \: pounds[/tex]

Answer:

How many siblings do you have?

I hope this helps you out :)

Answer:

21/8 yds or 2 5/8 yds

Step-by-step explanation:

First turn 1 3/4 yards into an improper fraction so you can add it to 7/8 yards.

1 3/4 as an improper fraction is 7/4 yds

7/4 yds = 14/8 yds

14/8 yds + 7/8 yds = 21/8 yds

So the total amount of ribbon Amanda has is 21/8  yds or 2 5/8 yds

Answer:

P(multiple of 5) = 0.1667

Step-by-step explanation:

    The multiples of 5 on the spinner are 5 and 10. This means out of 12 numbers, only 2 multiples of 5. Therefore, there is a 2/12 chance to get a multiple of 5.

[tex]\frac{2}{12}=\frac{1}{6}=0.1667[/tex]

Therefore, P(multiple of 5) = 0.1667.

I know tje answer

x+6kkkkkkkk

Answer:

X=75°;AND Y=30°

Step-by-step explanation:

Angle( x+75°)+(y)=180°

Angle(2x)+(y)=180°

[by subtracting both the equation we get;]

-1x=-75

x=75°

Now,value of y;

2x+y=180

2×75+y=180

150+y=180

y=180-150

y=30°

Answer:

-7

Step-by-step explanation:

63 divided by -9 = y

63 divided by -9 = -7

Check answers :

-9 x -7 = a

a= 63

Answer:

1st, keep value of x in 1st equation

Step-by-step explanation:

-6(-2y-1)+2y=48

12y+6+2y=48

14y=48-6

y=42/14

y=3

Now putting value of y in equation ii)

x= - 2y-1

x= - 2×3-1

x= - 6-1

x= - 7

Therefore, x= - 7

y=3

Answer:

Hello,

Answer 6

Step-by-step explanation:

[tex]\sqrt{9610} =98,03060...\\\\ENT(\sqrt{9610})=98\\\\9610-98^2=9610-9604=6\\\\[/tex]

The smallest number to be susbtracted is 6

[tex]\\ \sf\longmapsto 3x^2+5x-8-(2x^2-4x+3)[/tex]

[tex]\\ \sf\longmapsto 3x^2+5x-8-2x^2+4x-3[/tex]

[tex]\\ \sf\longmapsto 3x^2-2x^2+5x+4x-8-3[/tex]

[tex]\\ \sf\longmapsto x^2+9x-11[/tex]

Answer:

(3×2+5x-8)-(2×2-4x-3) = (6+5x-8)-(4-4x-3)

= 6+5x-8-4+4x+3

= -3+9x

Domain of a any cubic function [tex]f(x)=ax^3+bx^2+cx+d[/tex] is defined to be always [tex]\mathbb{R}[/tex].

The derivative with respect to x of your cubic function is,

[tex]\dfrac{d}{dx}f(x)=f'(x)[/tex]

to find the derivative of a polynomial function, simply take a derivative of each factor and sum them up,

[tex]\dfrac{d}{dx}x^3=3x^2[/tex] by the rule [tex]\dfrac{d}{dx}x^m=mx^{m-1}[/tex] where [tex]m\in\mathbb{R}[/tex]

[tex]\dfrac{d}{dx}-6x=-6[/tex]

[tex]\dfrac{d}{dx}3=0[/tex]

So the derivative is,

[tex]f'(x)=3x^2-6[/tex]

both derivative and the original function have equal domain.

Hope this helps :)

Step-by-step explanation:

[tex]thank \: you[/tex]

Answer:

Step-by-step explanation:

f(x,y)=10-x^2-y^2

To find derivative of z w.r.t. x is treat any other variable as a constant.

dz/dx=0-2x-0

dz/dx=-2x

Evaluating this at (7,-3) gives us dz/dx=-2(7)=-14.

Since this result is negative, it mrans as x increases z decreases.

f(x,y)=10-x^2-y^2

To find derivative of z w.r.t. y is treat any other variable as a constant.

dz/dx=0-0-2y

dz/dx=-2y

Evaluating this at (7,-3) gives us dz/dy=-2(-3)=6.

Since this result is positive it mrans as y increases z decreases.

Answer:

I thick the answer is 2277

Answer:

surface area = perimeter of base x slant height all of it divided by 2 and then add area of base

pb = 4(6)=24 x 9.5 = 228 /2 = 114 + 36 = 150

hope that answers your question :)

Answer:

y = 5x - 2

Step-by-step explanation:

(-1,3) (1,-7)

Slope (m) = (-7-3)/(1+1) = -10/2 = -5

(-1,3)

y-y = m(x-x) = y-3 = -5(x - -1) = y-3= -5(x+1) =

y-3 = 5x-5

y = 5x - 5 + 3

y = 5x - 2

Answer:

-14 and 4

Step-by-step explanation:

To find the values subtract 9 from -5, as well as add 9 to -5

-5-9= -14

-5+9= 4

Answer:

.87

Step-by-step explanation:

She gets 13 off so 100-13 =87

She will pay 87%

Multiply by .87

Kylie must multiply the price by 0.87 to get the discounted price.

Given that,
Kylie has a loyalty card good for a 13% discount at her local hardware store. What number should she multiply the prices on the tags by to find the price she would have to pay, is to be determined.

The percentage is the ratio of the composition of matter to the overall composition of matter multiplied by 100.

Here,
let the price be x,
Now,
According to the question,
discounted price = x - 13% of x
Discounted price = x - 0.13x
Discounted price = 0.87 x
The coefficient of the x represents the multiplication factor for Kylie.

Thus, Kylie must multiply the price by 0.87 to get the discounted price.

Learn more about percentages here:

brainly.com/question/13450942

#SPJ2

Answer:

[tex]\displaystyle x \approx 30.8[/tex]

Step-by-step explanation:

Note that the figure is a right triangle, and that we are given the length of the side adjacent to x and the hypotenuse of the triangle.

Therefore, we can use the cosine ratio. Recall that:

[tex]\displaystyle \cos \theta = \frac{\text{adjacent}}{\text{hypotenuse}}[/tex]

The adjacent side is 8.5 and the hypotenuse is 9.9. Therefore:

[tex]\displaystyle \cos x = \frac{8.5}{9.9}[/tex]

We can take the inverse cosine of both sides:

[tex]\displaystyle x = \cos^{-1} \frac{8.5}{9.9}[/tex]

Use a calculator. Hence:

[tex]\displaystyle x \approx 30.8[/tex]

Answer:

The 95% confidence interval for the proportion of respondents who say the Internet has strengthened their relationship with family and friends is:

[tex]0.72 \pm 1.96\sqrt{\frac{0.72*0.28}{n}}[/tex]

In which n is the sample size of the survey.

Step-by-step explanation:

In a sample with a number n of people surveyed with a probability of a success of [tex]\pi[/tex], and a confidence level of [tex]1-\alpha[/tex], we have the following confidence interval of proportions.

[tex]\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]

In which

z is the z-score that has a p-value of [tex]1 - \frac{\alpha}{2}[/tex].

The sample survey showed that 72% of Internet users said the Internet has generally strengthened their relationship with family and friends.

This means that [tex]\pi = 0.72[/tex]

95% confidence level

So [tex]\alpha = 0.05[/tex], z is the value of Z that has a p-value of [tex]1 - \frac{0.05}{2} = 0.975[/tex], so [tex]Z = 1.96[/tex].

Confidence interval:

[tex]\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]

[tex]0.72 \pm 1.96\sqrt{\frac{0.72*0.28}{n}}[/tex]

The 95% confidence interval for the proportion of respondents who say the Internet has strengthened their relationship with family and friends is:

[tex]0.72 \pm 1.96\sqrt{\frac{0.72*0.28}{n}}[/tex]

In which n is the sample size of the survey.