Find the range for the given domain: {-2, 0, and 1}and the function is y = 3x + 1.

Answer:

2ab(b + 4a​)

Step-by-step explanation:

2ab² + 8a²b​

Factor Out the 2:

2(ab² + 4a²b​)

Factor Out the a:

2a(b² + 4ab​)

Factor Out the b:

2ab(b + 4a​)

Answer:

[tex]\fbox {B. Exponential Decay}[/tex]

Step-by-step explanation:

As the exponent is applied to a number less than 1, the future values of the function f(x) will become smaller and smaller. Hence, it represents exponential decay.

Rational numbers are numbers that can be written in the form of a/b where a and b are integers.

Rational numbers are numbers that can be written in the form of a/b where a and b are integers.

Example: 1/2, 3.5 (which is writable as 7/5), 2(which is writable as 4/2), etc.

Irrational numbers are those real numbers that are not rational numbers.

For example √2, π, √13, etc.

It is an important thing to Know that all natural numbers are integers, and all integers are rational numbers. That means natural numbers are not irrational.

The given statement that any fraction is made up of two natural numbers is a rational number is true.

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Answer:

Step-by-step explanation:

Log x=4 ➡️ e⁴=x or x= e⁴

Hope it helps

Answer:

If a data set has many extremely small data values, than the median will be the same.

The middle number in a given sequence of number, taken as the average of the two middle numbers when the sequence has an even number of numbers.

The median is resistant to change no matter extremely small or large values.

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Answer:

y = 3x - 5

Step-by-step explanation:

We know that the equation 'y = 3x + ?' intersects the point (1, -2). This means that when x = 1, y = -2 in out equation above. To solve this just plug in the x and y values to get '?'.

[tex]y = 3x + ?\\-2 = 3(1) + ?\\-5 = ?[/tex]

Now that we know '?' is -5, we write it back into slope intercept form, so our final answer is y = 3x - 5

Answer:

27

Step-by-step explanation:

When solving complicated equations like this, we need to remember the order of operations (PEMDAS), which is the order that we solve an equation

P arentheses

E xponents

M ultiplication

D ivision

A ddition

S ubtraction

now, here's the thing: we actually to multiplication/division at the same time, and the same thing with addition/subtraction

(as in, adding -4 is the same thing as subtracting 4, so we can't truly make a distinction between the two)

so, when we have multiple instances of multiplication/division , we solve left to right

(and then the same thing for addition/subtraction)

8 × 3 + 70 ÷ 7 - 7

so, we first need to multiply 8 by 3

8 × 3 = 24

next, we move to the right:

and we divide 70 by 7

70 ÷ 7 = 10

let's rewrite our equation:

(24) + (10) - 7

24 + 10 - 7 = 27

so, the answer to this expression is 27

hope this helps!! have a lovely day :)

If the function is vertically stretched by a factor of 3, the resulting function will be g(x) = [tex]3(5^{x-2})[/tex]

Given the parent function f(x) = x, if the function is vertically stretched by k units, the resulting function will be g(x) = kx

Given the parent function

f(x) = [tex]5^{x-2}[/tex]

If the function is vertically stretched by a factor of 3, the resulting function will be g(x) = [tex]3(5^{x-2})[/tex]

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Answer: Option (4)

Step-by-step explanation:

We know that the radius of the circle is 3.

Using the distance formula, the distance from the given point to the center is

[tex]\sqrt{(\sqrt{6}-0)^{2}+(2-0)^{2}} = \sqrt{10} \neq 3[/tex]

Answer:d

Step-by-step explanation:

Using proportions, it is found that the amount that netball will receive is of:

B. $240,000

A proportion is a fraction of a total amount, and the measures are related using a rule of three.

Due to the ratios, the proportion of funding that is destined to netball is given by:

[tex]p = \frac{2}{5 + 3 + 2} = \frac{2}{10} = 0.2[/tex]

Hence, out of $1.200,000, the amount destined to netball is:

A = 0.2 x $1.200,000 = $240,000.

Which means that option B is correct.

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Answer: [tex]35^{\circ}[/tex]

Step-by-step explanation:

Angles ACB and DCA add to form angle ACB, which is a right angle, so:

So, [tex]m\angle ACB=6(7)-7=\boxed{35^{\circ}}[/tex]

Answer:

A rectangular prism in which BA = 20 and h = 6 has a volume of 120 units3; therefore, Shannon is correct

Got it right one the test! <3

Answer:

29

Step-by-step explanation:

87×156+29=13601

First do 13601/87=156.3333...
156 × 87 = 13572
13601-13572=29
so, 87×156+29=13601

Answer:

Step-by-step explanation:

What least number must be subtracted from 13601 to get a number exactly divisible by 87?

13601 : 87 = 156 and remainder 29

so your answer is 29

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

check

(13601 - 29) : 87 =

13572 : 87 = 156

Answer:

4/9 miles

Step-by-step explanation:

                 [tex]\sf Area = \dfrac{2}{3} \ square \ miles\\[/tex]

               [tex]\sf length = 1\dfrac{1}{2}=\dfrac{3}{2} \ miles[/tex]

[tex]\sf Width \ of \ rectangle = \dfrac{Area}{length}[/tex]

                             [tex]\sf = \dfrac{2}{3} \div \ \dfrac{3}{2}\\\\ =\dfrac{2}{3}*\dfrac{2}{3}\\\\ =\dfrac{4}{9} \ miles\\[/tex]

Use KCF method for faction division.

K- Keep the first fraction.

C - Change the division to multiplication.

F - Flip the second fraction.

Answer:

1

Step-by-step explanation:

The value of the output given by the inverse for a given input is the same as the input of the original function that results in the output equal to the given input.

So, 2x + 2 = 4, meaning the answer is 1

Answer:

4 ^3sqrt(2)

Step-by-step explanation:

two 2's can come out of the square root and it leaves one left in it and 2x2 is 4 which is on the outside.

Answer:

cbrt(x+1)-3=y

Step-by-step explanation:

The inverse of a function is when the domain and range are swapped. So to find the inverse simply swap the x and y in the equation and then solve for y.

[tex]y = (x+3)^3-1\\x=(y+3)^3-1\\x+1=(y+3)^3\\\sqrt[3]{x+1}=y+3\\\sqrt[3]{x+1}-3=y[/tex]

Answer:

A

Step-by-step explanation:

The parabola opens to the left, so this eliminates C and D.

Also, the vertex is at (-17, 2), and out of A and B, the only parabola with this vertex is A.

Answer:

Q(x) is = to 11x² that's my answer

Answer:

N: 30 B:150

Step-by-step explanation:

Supplementary angles add up to 180 meaning their equations must also add up to 180:

(3x + 18) + (2x + 142) = 180

Solve for x:

5x + 160 = 180

5x = 20

x = 4

Substitute 4 in all values of x to obtain the measure of the two angles:

N: 3(4) + 18 = 30

B: 2(4) + 142 = 150

Answer:

x = 59/12

Step-by-step explanation:

4x + 1/3 = 20

4x = 20 - 1/3

12x/3 = 60/3 - 1/3

12x = 60 - 1

12x = 59

x = 59/12

Check:

4*59/12 + 1/3 = 20

236/12 + 4/12 = 20

240/12 = 20

The probability of drawing a heart from the standard deck of cards and then drawing a 5 is 1/52

In a standard deck of cards, we have:

Total = 52

Heart = 13

5's = 4

Since the cards are replaced, the probability is calculated as:

P(Heart and 5) = Heart/Total * 5s/Total

This gives

P(Heart and 5) = 13/52* 4/52

Evaluate

P(Heart and 5) = 1/52

Hence, the probability of drawing a heart from the standard deck of cards and then drawing a 5 is 1/52

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The central tendency of the given data will be 22.79.

Mean is defined as the ratio of the sum of the number of the data sets to the total number of the data.

There are 3 ways in which we can express the centre of the data given: (1) mean or average, (2) mode, (3) median

For the mean, we sum up all the given and divide them by the number of data

mean = 433 / 19 = 22.79

For the mode, we just determine which among the given data appears more frequently and in this given that is 23.

For the median, we arrange the numbers from highest to lowest and determine which number will appear in the centre. Since there are 19 data, we need to find which among them will appear to be the 10th. That is also 23.

So, the value that would best describe the central tendency is 23. Since the values to the left of 23 are more scattered than those to its right, the distribution exhibits negative.

Therefore central tendency of the given data will be 22.79.

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Answer:

A) 2

Step-by-step explanation:

Because the slope is negative of line 2 the distance is getting smaller

Answer: 28,278.10

Step-by-step explanation:

[tex]a_{7} =16500(1.08)^7[/tex]

[tex]a_{7} =28278.1[/tex]

Answer:

[tex]\fbox {D. 10}[/tex]

Step-by-step explanation:

As the triangles are similar :

45/55 = (12x - 3)/143

9/11 = (12x - 3)/143

9 x 13 = 12x - 3

12x = 117 + 3

12x = 120

x = 10

Answer:

D. 10

Step-by-step explanation:

We can use similar triangles to solve this question. ΔRSE ≅ ΔFGE by SAS. We can set up this similarity equations: [tex]\frac{SE}{GE} = \frac{RE}{FE}[/tex] . Plugging in the numbers from the diagram, we get [tex]\frac{45}{12x-3} = \frac{55}{143}[/tex] . Using cross multiplication, we get the following equation:

[tex]45 * 143 = 55 *(12x-3)\\ 6435 = 660x - 165\\6600 = 660x\\x = 10[/tex]

Our final answer is D. 10

Answer:

83.80 = 69 + 4x
x = 3.7
Sarah can use up to 3.7 gigabytes per month to stay within her budget

Step-by-step explanation:

83.80 = 69 + 4x
14.8 = 4x
x = 3.7

The number of gigabytes of data Sarah can use while staying within her budget is 3.7 gigabyte.

Given that, Sarah pays a flat cost of $69 per month and $4 per gigabyte.

In mathematics, an equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =.

Let the number of gigabyte be g.

69+4g=83.80

The solution of an equation is the set of all values that, when substituted for unknowns, make an equation true.

Now, 4g=83.80-69

⇒ 4g=14.8

⇒ g=14.8/4

⇒ g=3.7 gigabyte

Therefore, the number of gigabytes of data Sarah can use while staying within her budget is 3.7 gigabyte.

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Answer:

the answer is D

Step-by-step explanation:

the answer is D because the

Answer: d

Step-by-step explanation: