A function is shown in the table.


x g(x)

−2 2

−1 0

0 2

1 8

Which of the following is a true statement for this function? (5 points)


Group of answer choices


The function is decreasing from x = 0 to x = 1.


The function is decreasing from x = −1 to x = 0.


The function is increasing from x = 0 to x = 1.


The function is increasing from x = −2 to x = −1.

Answer:

6 ft

Step-by-step explanation:

slope = [tex]\frac{rise}{run}[/tex] ( rise is vertical height and run is horizontal distance )

here vertical height = 3 and slope = [tex]\frac{1}{2}[/tex] , then

[tex]\frac{1}{2}[/tex] = [tex]\frac{3}{run}[/tex] ( cross- multiply )

run = 2 × 3 = 6 ft

The value of Exponent [tex](-1^{3}) ^{6}[/tex] is 1

Exponent:

A number's exponent indicates how many times we multiply a number by itself. For example, [tex]3^{4}[/tex] indicates that we have multiplied 3 four times. The expanded form is 3×3×3×3. An exponent is also known as a number's power. It can be an integer, a fraction, a negative number, or decimals.

Law of Power of a Power: [tex](x^{a}) ^{b}[/tex]=[tex]x^{ab}[/tex] {Here a,b can be an integer, a fraction, a negative number, or decimals}

Given question is [tex](-1^{3}) ^{6}[/tex]

⇒[tex](-1^{3}) ^{6}[/tex]=[tex](-1)^{6.3}[/tex]{ using Law of Power of a Power}

⇒[tex](-1)^{18}[/tex]=1 { -1 raised any even number= positive one}

Therefore,The value of Exponent [tex](-1^{3}) ^{6}[/tex] is 1

Learn more about Exponent here:

https://brainly.com/question/5497425  

#SPJ9

The length and width of the given rectangle is 10.77 and 5.385 respectively.

According to the question statement, The length of a rectangle is twice the width and the area of the rectangle is 58 square units.

We are supposed to find the length and width of the rectangle.

Before solving this we need to know that the area of the rectangle is the product of its length and width,

Let's assume the length be "l" and width be "w"

Therefore Area = l*w

Now as length is twice the width so [tex]l=2w[/tex]

Area = [tex]58 square units[/tex]

Therefore [tex]l*w=58\\[/tex]

but [tex]l=2w[/tex]

[tex]2w*w = 58\\2w^{2}=58\\w^{2} = \frac{58}{2} \\w^{2}= 29[/tex]

[tex]w=\sqrt{29} \\w=5.385[/tex]

as [tex]l=2w[/tex]

[tex]l=2*5.385\\l=10.77[/tex]

Hence length l = 10.77 unit and width w = 5.385 unit

To learn more about surface areas, click on the link given below.

https://brainly.com/question/92701

#SPJ9

Answer:

so there is a 5% change of or ordering a large cold drink

Step-by-step explanation:

first add the total of all drinks

5+48+22+8+12+5=100

the amount of large drinks that are cold are 5

so there is a 5% change of ordering a large cold drink

The total amount in the bank account after 7 years will be $1490

Simple interest is a way to figure out how much interest will be charged on a sum of money at a specific rate and for a specific duration of time. The principal amount in simple interest is constant.

The formula for simple interest = (P*R*T)/100

where P = principal amount

R = rate of interest

T = time in years

As per the question,

P = 1000

R = 7%

T = 7 Years

Simple interest will be = (1000*7*7)/100 = $490

The amount of money in the savings account at the end of 7 years will be $1000 + $490 = $1490

Learn more about simple interest:

https://brainly.com/question/25845758

#SPJ4

The sampling distribution of sample means is a mean of 79 and a standard deviation of 3.

The standard deviation mathematical and statistical analysis tool used to explain the diversity of treatments or values around the Mean is the standard deviation, which is also known as the square root of variance.

Given that,

Population mean,  [tex]\bar{x}[/tex] = 79

Population standard deviation, σ = 18

Sample size, n = 36

We have to determine the mean and standard deviation of a sampling distribution of sample means.

Let X denotes a random variable distributed with a mean and standard deviation of 85 and 28 respectively.

Also, if a random sample of size n is drawn from the population, then the sample mean is denoted by [tex]\bar{x}[/tex].

The sampling distribution of sample means [tex]\bar{x}[/tex] is given by:

ц [tex]\bar{x}[/tex] = ц

σ [tex]\bar{x}[/tex]  = σ/√n

Therefore, for the sample size n = 36, the sampling distribution of sample means [tex]\bar{x}[/tex] is obtained as:

ц [tex]\bar{x}[/tex] = 79

σ [tex]\bar{x}[/tex]  = 18/√36 = 3

Hence, the required sampling distribution of sample means is mean of 79 and a standard deviation of 3.

Learn more about the standard deviation here:

brainly.com/question/14747159

#SPJ4

The size of the car engine in cubic inches is 263.6 2 cubic inches

The given parameters are

Volume = 4320 cubic centimeters

By general conversion rule, we have

1 cubic centimeter = 0.0610237 cubic inches

Multiply both sides of 1 cubic centimeter = 0.0610237 cubic inches by 4320

4320 * 1 cubic centimeter = 0.0610237 cubic inches * 4320

Evaluate the product

4320 cubic centimeters = 263.6 2cubic inches

Substitute 4320 cubic centimeters = 263.6 2cubic inches  in Volume = 4320 cubic centimeters

Volume = 263.6 2cubic inches

Hence, the size of the car engine in cubic inches is 263.6 2cubic inches

Read more about volume at:

https://brainly.com/question/1972490

#SPJ1

The angle that the vector  [tex]\overrightarrow{\mathrm{A}}=2 \hat{i}+3 \hat{\mathrm{j}}[/tex]  makes with the y-axis is (B) tan⁻¹ 2/3.

To find the angle of the given vector:

Given: [tex]\overrightarrow{\mathrm{A}}=2 \hat{i}+3 \hat{\mathrm{j}}[/tex]

So,

[tex]\begin{aligned}&\overrightarrow{\mathrm{A}}=2 \hat{\mathrm{i}}+3 \hat{\mathrm{j}} \\&\overrightarrow{\mathrm{A}} \cdot \hat{\mathrm{j}}=\sqrt{13} \cos \theta \\&3=\sqrt{13} \cos \theta \\&\theta=\cos ^{-1}\left(\frac{3}{\sqrt{13}}\right)\end{aligned}[/tex]

Using the formula [tex]\tan \left(\cos ^{-1} x\right)=\frac{\sqrt{1-x^2}}{x}[/tex], we obtain:

[tex]\begin{aligned}&\theta=\tan ^{-1} \frac{\sqrt{1-\frac{9}{13}}}{\frac{3}{\sqrt{13}}} \\&\theta=\tan ^{-1}\left(\frac{2}{3}\right)\end{aligned}[/tex]

Therefore, the angle that the vector  [tex]\overrightarrow{\mathrm{A}}=22_1^{\mathrm{A}}+3 \hat{\mathrm{j}}[/tex]  makes with the y-axis is (B) tan⁻¹ 2/3.

Know more about a vector here:

https://brainly.com/question/25705666

#SPJ4

The correct question is given below:

The angle that the vector  [tex]\overrightarrow{\mathrm{A}}=2 \hat{i}+3 \hat{\mathrm{j}}[/tex]  makes with the y-axis is:

(A) tan⁻¹ 3/2

(B) tan⁻¹ 2/3

(C) sin⁻¹ 2/3

(D) cos⁻¹ 3/2

Answer: x = 3.6

Step-by-step explanation:

Combine multiplied terms into a single fraction

\frac{5}{8}(x+4)=0.25

\frac{5(x+4)}{8}=0.25

2 Distribute

3 Multiply all terms by the same value to eliminate fraction

4 denominators

5 Cancel multiplied terms that are in the denominator

6 Multiply the numbers

7 Subtract  20 from both sides

8 Simplify

9 Divide both sides by the same factor

10 Simplify

if theirs anything else you nead help with please asck

YW please mark branlest! =^.^=

In the given triangle ABC right angled at C and [tex]AC = b[/tex] and [tex]CB = a[/tex], the equation using value of b used for solving for a will be [tex]tan(22.6degrees) = \frac{a}{12}[/tex].

According to the question statement, Triangle A B C is shown. Angle A C B is [tex]90[/tex] degrees and angle C A B is [tex]22.6[/tex] degrees. The length of hypotenuse A B is [tex]13[/tex] centimeters, the length of A C is b, and the length of C B is a.

We are supposed to find the equation using value of b used for solving for a.

Solution: Given,

  [tex]AB = 13cm\\AC = b\\BC = a\\Angle BAC = 22.6degrees[/tex]

If hypotenuse is 13cm then value of b is either 5 or 12 as per Pythagorean Triplet. As there is no value such as 5 in the given options we take the value of [tex]b=12 cm[/tex].

[tex]cos(22.6degrees) = \frac{b}{13} =\frac{12}{13} \\sin(22.6degrees) = \frac{a}{13}\\[/tex]

Using the above two equations,

[tex]tan(22.6degrees)=\frac{a}{b} \\b=12\\tan(22.6degrees)=\frac{a}{12}[/tex]

Therefore option three "tan(22.6o) = StartFraction a Over 12 EndFraction" is the correct answer.

To learn more about Pythagoras theorem, click on the link given below:

https://brainly.com/question/343682

#SPJ9

Answer: C tan (22.6)=a/12

Step-by-step explanation: edge 2023

Let [tex]\vec K,\vec L,\vec M,\vec N[/tex] be vectors pointing the vertices K, L, M, and N, respectively.

The side KL is parallel to and has the same length as the vector

[tex]\vec L - \vec K = (2\,\vec\imath + 3\,\vec\jmath + 3\,\vec k) - (2\,\vec\imath+2\,\vec\jmath+\vec k) = \vec\jmath + 2\,\vec k[/tex]

Similarly, the side KN is parallel and as long as

[tex]\vec N - \vec K = (6\,\vec\imath+8\,\vec\jmath+\vec k) - (2\,\vec\imath+2\,\vec\jmath+\vec k) = 4\,\vec\imath+6\,\vec\jmath[/tex]

These vectors have magnitudes

[tex]\|\vec L - \vec K\| = \sqrt{0^2 + 1^2 + 2^2} = \sqrt5[/tex]

[tex]\|\vec N - \vec K\| = \sqrt{4^2 + 6^2 + 0^2} = 2\sqrt{13}[/tex]

and their dot product is

[tex](\vec L - \vec K) \cdot (\vec N - \vec K) = 0\cdot4 + 1\cdot6+1\cdot0 = 6[/tex]

The parallelogram spanned by the vectors [tex]\vec L-\vec K[/tex] and [tex]\vec N-\vec K[/tex] has area equal to the magnitude of their cross product, for which we have the identity

[tex]\bigg\|(\vec L - \vec K) \times (\vec N - \vec K)\bigg\| = \|\vec L - \vec K\| \|\vec N - \vec K\| \sin(\theta) \\\\ \implies \text{area} = 2\sqrt{65} \, \sin(\theta)[/tex]

where [tex]\theta[/tex] is the angle between the sides KL and KN.

From the dot product identity, we have

[tex](\vec L - \vec K) \cdot (\vec N - \vec K) = \|\vec L - \vec K\| \|\vec N - \vec K\| \cos(\theta) \\\\ \implies 6 = 2\sqrt{65} \cos(\theta)[/tex]

Then

[tex]\cos(\theta) = \dfrac3{\sqrt{65}} \implies \sin(\theta) = \sqrt{1-\cos^2(\theta)} = 2\sqrt{\dfrac{14}{65}} \\\\ \implies \text{area} = 2\sqrt{65} \cdot 2\sqrt{\dfrac{14}{65}} = \boxed{4\sqrt{14}}[/tex]

The scientific results to 5.97 x [tex]10^{24}[/tex] kg is the Earth's mass.

To learn more about the Earth's mass visit:

https://brainly.com/question/10674626

#SPJ9

The general solution of the given equation is y² = 8x²Inx + cx².

A first-order linear differential equation is one that has the formula:

[tex]\frac{d y}{d x}+p(x) y=q(x)[/tex]

where p(x) and q(x) are continuous functions of x.

We begin by determining the integrating factor for the first-order linear differential equation.

I.F. = [tex]e^{\int p(x) d x}[/tex]

The solution to the first order linear differential equation is:

[tex]y \cdot e^{\int p(x) d x}=\int q(x) \cdot e^{\int p(x) d x} d x+c .[/tex]

The solution to the first order linear differential equation is:

[tex]\int \frac{1}{x} d x=\ln x+c[/tex]

So, given: [tex]y^{\prime}=\frac{\left(4 x^2+y^2\right)}{(x y)}[/tex]

The above differential equation can be written as:

[tex]\begin{aligned}&\frac{d y}{d x}=4 \frac{x}{y}+\frac{y}{x} \\&\frac{d y}{d x}-\frac{y}{x}=\frac{4 x}{y} \\&y \frac{d y}{d x}-\frac{y^2}{x}=4 x\end{aligned}[/tex]

Substitute, [tex]y^2=t, 2 y \frac{d y}{d x}=\frac{d t}{d x}[/tex].

[tex]\begin{aligned}&\frac{1}{2} \frac{d t}{d x}-\frac{t}{x}=4 x \\&\frac{d t}{d x}-\frac{2 t}{x}=8 x\end{aligned}[/tex]

Because this is a first-order linear differential equation, we must first determine the integrating factor:

[tex]\text { I. F. }=e^{-2 \int \frac{1}{x} d x}=e^{-2 \ln x}\\\text { I.F. } F=\frac{1}{x^2}[/tex]

As a result, the following is the general solution to the given IVP:

[tex]$$t \cdot(I . F .)=\int(I . F .) \cdot 8 x d x+c$$$t \cdot\left(\frac{1}{x^2}\right)=\int\left(\frac{1}{x^2}\right) \cdot 8 x d x+c$$t \cdot\left(\frac{1}{x^2}\right)=8 \int \frac{1}{x} d x+c$$t \cdot\left(\frac{1}{x^2}\right)=8 \ln x+c$$t=8 x^2 \ln x+c x^2$[/tex]

By reversing the value of t:

[tex]y^2=8 x^2 \ln x+c x^2[/tex]

We now test the solution by substituting [tex]y^2=8 x^2 \ln x+c x^2[/tex] it in the original differential equation.

[tex]\begin{aligned}&\frac{d}{d x}\left(y^2\right)=\frac{d}{d x}\left(8 x^2 \ln x+c x^2\right) \\&2 y \frac{d y}{d x}=16 x \ln x+8 x+2 c x \\&\frac{d y}{d x}=\frac{16 x \ln x+8 x+2 c x}{2 y} \\&\frac{d y}{d x}=\frac{8 x \ln x+4 x+c x}{y}\end{aligned}[/tex]

We calculated the value of [tex]y^2[/tex] and [tex]\frac{d y}{d x}[/tex] from the original differential equation:

[tex]\begin{aligned}&\frac{8 x \ln x+4 x+c x}{y}=\frac{4 x^2+8 x^2 \ln x+c x^2}{x y} \\&8 x \ln x+4 x+c x=8 x \ln x+4 x+c x .\end{aligned}[/tex]

Therefore, the general solution of the given equation is y² = 8x²Inx + cx².

Know more about differential equations here:

https://brainly.com/question/1164377

#SPJ4

The complete question is given below:
For the following ODE, find a general solution, show the steps of derivation and check your answer by substitution.

[tex]y^{\prime}=\frac{\left(4 x^2+y^2\right)}{(x y)}[/tex]

Answer:

-2.5w<6.8

-2.5w/-2.5<6.8/-2.5

w>-2.72

Answer:

1 cookie

Step-by-step explanation:

75% = 75/100

75 and 100 are both divisible by 25, therfore the simplified verision is 3/4

[tex]\frac{75}{100} /\frac{25}{25} =\frac{3}{4}[/tex]

in order to get 100% we would need to:

3/4 + num of cookies = 4/4

re-arranged by subtracting 3/4 on bith sides:

num of cookie = 4/4 - 3/4

num of cookie = 1/4

meaning 1/4 of her orders is cookies

Answer:

Divisible rule of 11

If the number of digits of a number is even, then add the first digit and subtract the last digit from the rest of the number

Divisible rule of 5

Divisibility by 5 is easily determined by checking the last digit in the number.  If the last number is either 0 or 5, the entire number is divisible by 5.

First of all, the number 3456 is not divisible by 11 and 5.

But if we change position of digits then the numbers divisible by 11 are-

3564 / 11= 324

3465 / 11= 315

3465 / 5= 693

4356 / 11 = 396

4653 / 11 = 423

5346 / 11 = 486

5643 / 11 = 513

6534 / 11 = 594

6435 / 11 = 585

6435 / 5=1287

But the numbers 3465 and 6435 are also divisible by 5

So the numbers divisible by 11 but not with 5 are:

3564 , 4356, 4653, 5346, 5643 and 6534

Learn more about divisibility test here:

https://brainly.com/question/9462805

#SPJ9

The function which represents the jeepney fare in terms of the distance(d) in kilometers is F = 2x ₊ 3.

Given a bus ride costs 11 pesos for first 4 kilometers.

2.00 pesos for each succeeding kilometer.

Function of Fare (F) in terms of distance (d).

Let F represent the total fare and d represent the distance in kilometers.

F = rate of fare × distance

rate = 11 for 4 km, and 2 for each km

rate = 11, if x ≤ 4,

rate = 2, if (x₋4), and x > 4

hence the equation is:

F = 11 pesos, if x ≤ 4,

F = 11 ₊ 2(x₋4), if x > 4

Simplify the above equation.

F = 11 ₊ 2x ₋ 8

F = 2x ₊ 3

Hence we derived the function in terms of distance as F = 2x ₊ 3

Learn more about Linear equations here:

brainly.com/question/4074386

#SPJ9

Answer: 710

Step-by-step explanation:

260 + 450 = 710

Answer:

We are looking for a new number which is 260 more than 450.

We will get the new number by adding 260 to 450.

We write it down as:

450+260=710

And finally the solution for: What number is 260 more than 450?

is 710

All Done!

Please Mark as Brainliest

Answer:

Brian is 5, and Sharon is 10

Step-by-step explanation:

CURRENT AGES:

  Let   b = Brian's age

  Let 2b = Sharon's age

5 YEARS FROM NOW:

  b + 5 = Brian's age

  2b + 5 = Sharon's age

  The sum will be 25

  b + 5 + 2b + 5 = 25

  3b + 10 = 25

  3b = 15

   b = 5

So Brian is 5, and Sharon is 10

The price we have to pay for the disc after 10% discount is 1467 dollars.

Percentage is the value per hundredth.

According to the given question we bought a disc which costs 1630 dollars there's a 10% discount we have to find how much i have to pay.

10% of 1630 dollars will be

= (10/100) × 1630 dollars.

= 16300/100 dollars.

= 163 dollars.

So, the price we have to pay for the disc after 10% discount is

= (Total amount - Discount amount)

= ( 1630 - 163 ) dollars.

= 1467 dollars.

learn more about percentage here :

https://brainly.com/question/24159063

#SPJ4

The range of the function is x∈[(-8 ,16)]

It is required to find the  range.

A function is defined as a relation between a set of inputs having one output each. function is a relationship between inputs where each input is related to exactly one output. Every function has a domain and codomain or range. A function is generally denoted by f(x) where x is the input.

Given:

Since f(x) = -2x + 4  is linear, its limit values correspond to the limits imposed by the domain (in this case x∈[(-6 ,6)]

By put the value of x in the given function we get,

f(-6) = -2(-6) + 4

        =12+4

         =16

f(6) = -2*6 + 4

       =-12+4

        =-8

So the range is -8<x<16.

Therefore, the range of the function is x∈[(-8 ,16)]

Learn more about  function here

https://brainly.com/question/12431044

#SPJ4

Answer:

- p / 2

Step-by-step explanation:

4 / -8 =   - 1/2

p^3 / p^2   = p

- 1/2  * p   =  - p / 2

To stay within budget, she must use 3.9 gigabytes.

Giving the following information:

Under her cell phone plan, Sofia pays a flat cost of $54.50 per month and $5 per gigabyte. She wants to keep her bill at $ 74 per month.

First, we need to establish the total cost formula:

Total cost= 54.5 + 5*x

x= number of gigabytes

Now, we isolate x:

74= 54.5 + 5x

19.5/5= x

3.9= x

To stay within budget, she must use 3.9 gigabytes

learn more of equation here

https://brainly.com/question/21316351

#SPJ9

______________________________________________________

Five percent is considered a half of 10 percent. So, to find 5% of a number, all you need to do is divide 10 percent of the number by 2.

________________________________________________________

Hope this helps! If so, lmk! Thanks and good luck!

Answer: Click on this: a=13.6cm,b=9.5cm and c=2.6cm for the triangle show it has a step by step way

Step-by-step explanation:

Yes, The branch of statistical studies called descriptive statistics summarizes important aspects of a data set.

Here,

We have to find the statement,

''The branch of statistical studies called descriptive statistics summarizes important aspects of a data set.'' is true or not.

What is Descriptive statistics?

Descriptive statistics is a means of describing features of a data set by generating summaries about data samples.

Now,

The branch of statistical studies called descriptive statistics summarizes important aspects of a data set.

Because : Descriptive statistics refers to the summary of important aspects of a data set.

Hence, The statement ''The branch of statistical studies called descriptive statistics summarizes important aspects of a data set.'' is true.

Learn more about the descriptive statistics visit:

https://brainly.com/question/6990681

#SPJ4

The value of the functions are:

a. g(-4) + f(-2) = 24

b..  f(1) - g(0) = 1

A function can be defined as an expression showing the relationship between two variables.

Given the functions;

g(-4); substitute the value of x as - 4 in g(x)

g(-4) = (-4)² + 1

g(-4) = 16 + 1

g(-4)  = 17

f(-2); substitute the value of x as - 2 in f(x)

f(-2) = 3(-2) - 1

f(-2 = -7

a.  g(-4) + f(-2) = 17 -(-7)

g(-4) + f(-2) = = 24

f(1) = 3(1) - 1

f(1)  = 2

g(0) = (0)² + 1

g(0) = 1

b. f(1) - g(0) = 2 - 1

f(1) - g(0) = 1

Thus, the value of g(-4) + f(-2) and f(1) - g(0)  are 24 and 1 respectively.

Learn more about functions here:

https://brainly.com/question/17043948

#SPJ1

The equation of the modified graph is y = (x + 6)^2

The equation of the graph is given as

y = x^2

The graph is shifted to the left by 6 units

This is represented as:

(x, y) = (x + 6, y)

So, we have

y = (x + 6)^2

Hence, the equation of the modified graph is y = (x + 6)^2

Read more about transformation at:

https://brainly.com/question/4025726

#SPJ1