The function ƒ(x) = −(x + 3)^2 − 4 is not one-to-one. Find a portion of the domain where the function is one-to-one and find an inverse function.

Answer:

x-intercept is (2,0)

y-intercept is (0,-8)

Step-by-step explanation:

to find the 'x-intercept', substitute zero for 'y' and solve:

4x - 0 = 8

4x = 8

x = 2;  x-intercept is (2,0)

4(0) - y = 8

0 - y = 8

y = -8; y-intercept is (0,-8)

Answer:

LXVII

Step-by-step explanation:

The roman numeral for 67 is LXVII

LX represents 60 and VII represents 7

Answer:

No.

Step-by-step explanation:

Sadie goals = s

that means

2s+ s = 9 (2s is Connor's goals. Twice Sadie's)

3s=9

s=3

Sadie scored 3 goals

52km multiply by 4(days)=208

Answer:

The y-intercept of function A is less than the y- intercept of function B

hope it is helpful to you

Answer:

348 kiwis

Step-by-step explanation:

Jamie is packing Kiwie fruits into a tray

Each tray holds 58 kiwis

He can put 6 trays in a crate

Hence when the craye is full the number of kiwis it will contain can be calculated as follows

°= 58×6

= 348 kiwis

Answer:

(10 , -1)

Step-by-step explanation:

(10)+6(-1)=4

10-6=4

Answer: Choice C) 0.6964;  0.6972

============================================

Work Shown:

n = 15

p = 0.5

q = 1-p = 1-0.5 = 0.5

P(k) = (n C k)*(p)^k*(q)^(n-k)

P(k) = (15 C k)*(0.5)^k*(0.5)^(15-k)

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

If you plug in k = 7, then we get,

P(k) = (15 C k)*(0.5)^k*(0.5)^(15-k)

P(7) = (15 C 7)*(0.5)^7*(0.5)^(15-7)

P(7) = 6435*(0.5)^7*(0.5)^8

P(7) = 0.1964

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

Repeat for k = 8 all the way through k = 15. You could do this by hand, but I recommend using a spreadsheet to make things go much quicker.

Once you determine those values, add them up and you should get 0.6964 which is the binomial probability we want.

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

As for the normal approximation, you'll need to compute the mu and sigma to get

The normal distribution will have those parameters.

Since we're using a continuity correction, we need to bump the x = 6 up to x = 6.5, since we want to be larger than 6

Let's find the z score

z = (x - mu)/sigma

z = (6.5 - 7.5)/(1.93649)

z = -0.516398

Now use a Z table or a calculator to determine that P(Z > -0.516398) = 0.6972 approximately. If you're using a TI calculator, then you'll use the normalCDF function. If you're using excel, then you would use the NormDist function (make sure to turn the cumulative flag to "true"). Alternatively, you can search out free z calculators to get the job done.

Given:

In circle D, [tex]\angle EDH\cong \angle EDG[/tex].

To find:

The length of JG.

Solution:

We know that, if two central angles are congruent then the corresponding chords are congruent and their measures are equal.

We have,

[tex]\angle EDH\cong \angle EDG[/tex]

It means chords EH and EG are congruent and their measures are equal.

[tex]EH=EG[/tex]

[tex]9=EG[/tex]

Using segment addition property, we get

[tex]EJ+JG=EG[/tex]

[tex]4+JG=9[/tex]

[tex]JG=9-4[/tex]

[tex]JG=5[/tex]

Therefore, the length of JG is 5 units.

Answer:

5

Step-by-step explanation:

9514 1404 393

Answer:

 T

Step-by-step explanation:

The figure has 5-fold rotational symmetry, so each 72° of CCW rotation will bring point N to the next vertex in the CCW direction. Rotation of 288° will move point N 4 vertices CCW, equivalent to 1 vertex in the CW direction. Either way, that point is now occupied by point T.

  N' ≅ T

Answer:

- 50

Step-by-step explanation:

Given the equation :

2x³ - z

x = - 3 ; z = - 4

Substituting the values into the equation :

2(-3)³ - (-4)

-3³ = - 27

Hence,

2(-27) - (-4)

-54 + 4

= -50

2x³ - z at x = - 3 and z = - 4 is - 50

Answer:

9

Step-by-step explanation:

-5 , -4 , -3 , -2 , -1 , 0 , 1 , 2 , 3 , 4

-5 + 9 = 5

Step-by-step explanation:

use the simple interest formula

Step-by-step explanation:

y int

x=0

y=4(0)-6

y=-6

0;-6

x int

y=0

0=4x-6

6=4x

6/4=x

3/2=x

3/2;0

Answer:

Below in bold.

Step-by-step explanation:

y = 4x - 6

Find y-intercept:

y = 4(0) - 6 = -6

Y intercept is at (0, -6)

x-intercept:

4x - 6 = 0

4x = 6

x = 6/4 =1.5.

x intercept is at (1.5, 0)

Midpoint is at ((0+1.5)/2, (-6 + 0)/2)

= (0.75, -3)

Answer:

X = 3.2

Step-by-step explanation:

sin(42) = x/4.6

0.7 = x/4.6

3.2 = x

Answer:

Point p

Step-by-step explanation

The first number in your point is on the x axis, but since it's 0 you don't move anywhere.  

The second number in your point is on the y axis, it's -3, so you move down on the y axis 3 times.

When the x axis(first number) is negative you move left, and if the y axis(second number is negative you move down), and vise versa.

Answer:

0.9 is the correct answer

Answer:

20

Step-by-step explanation:

After 99,999 is 100,008 So start from there

100,008 1

100,017 2

Ten 9's later...

100,107 12

Eight 9's later...

100.179

Ther are 20

Answer:

Length of the arc = 10. 26

Step-by-step explanation:

14 × 11 / 15

= 154 / 15

= 10.26

Length of the arc = 10. 26

Hope this answer helps you :)

Have a great day

Mark brainliest

Answer:

The final balance is $36.5.

The total compound interest is $6.5.

Step-by-step explanation:

Answer:

volume of the triangular pyramid=1/3×base×height

=1/3×(1/2×6×5)×10

=1/3×15×10

=50 yd³

[tex]V = \frac{1}{3} (\frac{1}{2}\times base \: area) \: \times height[/tex]

[tex]V = \frac{1}{3} ( \frac{1}{2}\times base \: area) \: \times height \\ V = \frac{1}{3} (\frac{1}{2} (6)(5))(10) \\ V = \frac{1}{3} (150) \\ V = 50 {yd}^{3} [/tex]

[tex]D. \: \: V = 50 \: {yd}^{3} [/tex]

I hope it helps ┐(・_・┐)

Answer:

13500 people

Step-by-step explanation:

0.27 x 50000 = 13500

Using proportions, it is found that the clinic must outreach 13,500 people.

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

[tex]T = \frac{27}{100} \times 50000 = 0.27(50000) = 13500[/tex]

The clinic must outreach 13,500 people.

A similar problem is given at https://brainly.com/question/22295885

Answer:

1/52

Step-by-step explanation:

as there is only one of the three of clubs,

total possible outcomes= 52

favourable outcome= 1

P(getting a three of clubs) = total outcome/ favourable outcome

= 1/52

hope this helps

Answer:

Área de un polígono regular. El área o superficie de un polígono es igual al producto del perímetro por la apotema dividido por dos. El perímetro es la suma de todos los lados.

Step-by-step explanation:

Answer:

Step-by-step explanation:

El área de un polígono regular se calcula a partir de su perímetro y su apotema. Sea P el polígono regular con N lados, su área es:

Fórmula del área del polígono regular mediante su perímetro

Answer:

The upper 20% of the weighs are weights of at least X, which is [tex]X = 0.84\sigma + \mu[/tex], in which [tex]\sigma[/tex] is the standard deviation of all weights and [tex]\mu[/tex] is the mean.

Step-by-step explanation:

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

Upper 20% of weights:

The upper 20% of the weighs are weighs of at least X, which is found when Z has a p-value of 0.8. So X when Z = 0.84. Then

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]0.84 = \frac{X - \mu}{\sigma}[/tex]

[tex]X = 0.84\sigma + \mu[/tex]

The upper 20% of the weighs are weights of at least X, which is [tex]X = 0.84\sigma + \mu[/tex], in which [tex]\sigma[/tex] is the standard deviation of all weights and [tex]\mu[/tex] is the mean.

Answer:

[tex]-\frac{3 \cdot cos^2x}{(1+sinx)^3}[/tex]

Step-by-step explanation:

[tex]y = (\frac{cosx}{1+sinx})^3\\\\\frac{dy}{dx} = 3 \cdot (\frac{cosx}{1+sinx})^2 \cdot \frac{dy}{dx}(\frac{cosx}{1+sinx})[/tex]                        [tex][ y = x^n\ \ \ => \ \ \ \frac{dy}{dx} = b \cdot x^{n-1} \ ][/tex]

    [tex]= 3 \cdot (\frac{cosx}{1+sinx})^2 \cdot \frac{(1+sin x(-sinx) - cosx(cosx)}{(1+sinx)^2}\\\\[/tex]     [tex][\ \frac{u}{v} = \frac{v \dcot u'- u \cdot v'}{v^2}\ ][/tex]

    [tex]= 3 \cdot (\frac{cosx}{1+sinx})^2 \cdot \frac{-sin x-sin^2x- cos^2x}{(1+sinx)^2}\\\\= 3 \cdot (\frac{cosx}{1+sinx})^2 \cdot \frac{-sin x- (sin^2x+ cos^2x)}{(1+sinx)^2}\\\\= 3 \cdot (\frac{cosx}{1+sinx})^2 \cdot \frac{-sin x-1}{(1+sinx)^2}\\\\= 3 \cdot (\frac{cosx}{1+sinx})^2 \cdot \frac{-1 \cdot(sin x+1)}{(1+sinx)^2}\\\\= 3 \cdot (\frac{cosx}{1+sinx})^2 \cdot \frac{-1}{(1+sinx)}\\\\[/tex]

   [tex]= -3 \cdot \frac{cos^2x}{(1+sinx)^3}[/tex]

Answer:

359.19 And good morning to you

Step-by-step explanation:

Answer:

359.19 is the 39% of 921

good afternoon to you

Answer:

4cm ×6cm(parallelogram)

Answer:

n = 64/9

Step-by-step explanation:

3√n=8

Divide each side by 3

3/3√n=8/3

sqrt(n) = 8/3

Square each side

(sqrt(n))^2 = (8/3)^2

n = 64/9

Answer:

n = 64 / 9

Step-by-step explanation:

3√n = 8

Divide both side of equation by 3

3√n / 3 = 8/3

√ n = 8 / 3

Square both side of equation

√n² = √(8/3)

n = 64/9