Mathematics High School

## Answers

**Answer 1**

The **y-intercept **and the horizontal **asymptote **of g(x) = 7ˣ + 2 is (a) (0, 3) ; y = 2

How to determine the **y-intercept**?

The **equation **of the **function** is given as

g(x) = 7ˣ + 2

To calculate the **y-intercept, **we set x = 0

So, we have

g(0) = 7⁰ + 2

Evaluate the exponent

g(0) = 1 + 2

Evaluate the sum

g(0) = 3

So, we have

(x, y) = (0, 3)

How to determine the **horizontal asymptote**?

The **equation **of the **function** is given as

g(x) = 7ˣ + 2

To calculate the **horizontal asymptote, **we set 7ˣ

So, we have

y = 0 + 2

Evaluate the sum

y = 2

Hence, the solution is (a) (0, 3) ; y = 2

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**Answer 2**

The required** y-intercep**t of the given **function** is (0,3) and the **horizontal** asymptote is y = 2.

What is an asymptote?

**Asymptote **is the **line **on the curve that does not intersect the curve but **passes **as near to the **maximum **and **minimum **of the graph.

Here,

The** y-intercept** of the given function is evaluated as put the x coordinate to zero,

So,

g(0) = 1 + 2

g(0) = 3

Now, the horizontal asymptote is a line that passes near to the line but does not intersect with the curve,

So,

Terminating the x compositon of the function 7ˣ = 0 the rest will be the **horizontal asymptote**,

y = 7ˣ + 2

y = 0 + 2

y = 2

Thus, the required y-**intercept** of the given **function** is (0,3) and the horizontal asymptote is y = 2.

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## Related Questions

what is x when 2x + 5 = 15

period ahh period uhh

### Answers

**Answer:**

x=5

**Step-by-step explanation:**

2x + 5 = 15

2x5=10

5+10=15

Hopes this helps

**Answer:**

x = 5

**Step-by-step explanation:**

2x + 5=15 Set up equation

2x= 15-5 Put like terms together

2x= 10 Subtract like terms

x= 10/2 Isolate and divide

x= 5 Answer

What integer would represent a withdrawal of $170?

### Answers

**Answer:**

-170

**Step-by-step explanation:**

we are withdrawing so minus from original amount

Graph the image of the figure using the transformation given.

### Answers

A **graph** of the image of figure Q'R'S'T' after a **dilation** of 2 units about the origin is: **graph** C.

What is dilation?

**Dilation** simply refers to a type of transformation which changes the size of a geometric object, but not its shape. This ultimately implies that, the size of the geometric object would be increased or decreased based on the **scale factor** used.

What is scale factor?

A **scale factor** can be defined as the ratio of two (2) corresponding length of sides or diameter in two similar geometric figures such as triangles.

Note: Each interval on this **graph** represents 1 unit.

For the given coordinates, the **dilation** with a **scale factor** of 2 about the origin or a center of** dilation** (0, 0) should be calculated as follows:

Point Q (-2, -1) → Point Q' (-2 × 2, -1 × 2) = Point Q' (-4, -2).

Point R (-1, 2) → Point R' (-1 × 2, 2 × 2) = Point R' (-2, 4).

Point S (1, 0) → Point S' (1 × 2, 0 × 2) = Point S' (2, 0).

Point T (2, -2) → Point T' (2 × 2, -2 × 2) = Point T' (4, -4).

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if a vector a has components ax < 0, and ay > 0, then the angle that this vector makes with the positive x-axis must be in the range group of answer choices 180° to 270° 0° to 90° 270° to 360° it cannot be determined without additional information. 90° to 180°

### Answers

The **angle **vector '**a**' makes with the positive x-axis is 90° to 180°.

What is a vector?

A vector is a quantity that has **magnitude **as well as **direction **one such example of this is velocity where we describe speed and direction also.

Given a vector a with two **components **one in the x direction and another one in the y direction.

The x component of the vector ax < 0 which is on the 2nd quadrant and the y component of the vector is ay > 0 which we join to the tail of the component ax.

∴ The angle it makes with the positive x-axis is 90° to 180° as it is on the **second quadrant**.

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What symbol makes -3/4 and -11/12 a true sentence?

### Answers

**Answer: -3/4>-11/12**

**Step-by-step explanation:**

its a negative so there's more of the -3/4 than the -11/12 because the -11/12 is 2 more units below the -3/4

2. Expand each of the following functions in ascending powers of x up to the term in

x³. In each case state the values of x for which the expansion is valid.

### Answers

**Values** of x in ascending orders is shown below.

What are exponents?

The number of times a number has been multiplied by itself is referred to as an **exponent**. For instance, the expression 2 to the third (written as 2³) signifies 2 x 2 x 2 = 8. 2³ and 2 x 3 = 6 are not equivalent. Keep in mind that any number is itself when raised to the power of 1. Exponents and powers can be used to represent extremely big or extremely small numbers in a more straightforward fashion. To illustrate 3 x 3 x 3 x 3 in a straightforward manner, for instance, we could write it as 34, where 4 is the exponent and 3 is the base. It is claimed that the entire statement 34 has power.

Given Data

Expanding the **exponents**,

[tex]\sqrt{4+x}[/tex]

[tex]4^{1/2}[/tex] + [tex]x^{1/2}[/tex]

2) [tex]\frac{1}{2+x}[/tex]

2⁻¹ + x⁻¹

3) (3-2x)⁻²

(9)⁻¹ - 4x⁻²

4) (8 - 3x)¹⁾³

2 - [tex]3x^{1/3}[/tex]

In **Ascending** order,

(3-2x)⁻², [tex]\frac{1}{2+x}[/tex] , ([tex]8-3x^{1/3}[/tex]) , [tex]\sqrt{4+x}[/tex]

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16 is a what percen of 200

### Answers

**Answer:**

32

**Step-by-step explanation:**

What kind of transformation converts the graph of f(x)=3x+9 into the graph of g(x)=3x–10?

### Answers

**Answer:**

See below

**Step-by-step explanation:**

To get from +9 to -10 you will need to shift DOWN 19 units

Which number is most likely an irrational number?

OA. -33.948826765...

B. 10.600000000...

O C. -6.099999999...

OD. 0.874874874...

### Answers

**The answer is A because it's a non-recurring decimal.**

If you borrow $200 for 12 years atan annual interest rate of 2%, howmuch will you pay altogether?

### Answers

Answer:

$248

Explanations:

Let the money borrowed be the Principal, P = $200

Interest rate, R = 2%

Number of years, T = 12 years

The total amount to pay back will be:

Amount = Principal + Interest

Let us calculate the Interest, using the formula:

[tex]\begin{gathered} \text{Interest = }\frac{PRT}{100} \\ \text{Interest = }\frac{200\times2\times12}{100} \\ \text{Interest = 2}\times2\times12 \\ \text{Interest = 48} \end{gathered}[/tex]

Interest = $48

Amount = Principal + Interest

Amount = $200 + $48

Amount = $248

You will pay back $248 altogether

20. sarah and gabe are sharing a sheet of stickers. Sara has 2/7 of the sheet. Gabe has 1/4 of the sheet. What fraction of the sheet do sara and gabe have together?

### Answers

The answer is 15/28

Explanation:

Based on the given conditions, formulate 2/7+1/4

Expand the fraction to get the least common denominator 2x4/7x4 + 7/4x7

Calculate the product or quotient 8/7x4 + 7/4x7

Calculate the product or quotient 8/28 + 7/4x7

Calculate the product or quotient 8/28+7/28

Write the numerators over common denominator 8+7/28

Calculate the sum or difference 15/28

Convert to fraction 15/28

So the answer is 15/28

Hope that helped!!!!

Sarah have 2/7 and gabe have 1/4

To add two fraction together we should have the same denominator

We have to multiply Sarah’s fraction by 4 and gsbe’s by 7

Sarah:8/28

Gabe: 7/28

8/28+7/28=15/28

Simplify m^9 m^−3.

A. -m^12

B. 1 / m^27

C. 1 / m^6

D. m^6

### Answers

**I will the law of exponents:**

[tex]x^{n} *x^{m} \\=x^{n+m}[/tex]

⇒[tex]=m^{9+(-3)} \\=m^{9-3}\\ =m^{6}[/tex]

**Option D is the answer**

25 > w - 7 solve the inequality for w and simplify your answer as much as possible

### Answers

**Step-by-step explanation:**

so when we have 25> w -7 we must move the

-7 to the 25 for the w to stand on it own so

25+7 > w

32 > w

136/12 times 12 = ?

Anyone here have pinterest.....

### Answers

**Answer:**

136 divided by 12 you get 11.3 times 12 you get 136

**Answer:**

**(136÷12) × 12 = 136**

**Step-by-step explanation:**

You start with the numbers in the parentheses ( which look like "( )" ), which is 136**÷**12 which is 11.3

1.) 136**÷**12=**11.33**

Then you multiply it by 12 which will get you 136.

2.) 11.33× 12=**136**

**Your final answer will be 136**

**Have a nice day!**

what is the probability that maximum speed differs from the mean value by at most 2.5 standard deviations? (round your answer to four decimal places.)

### Answers

The** probability** that **maximum speed** differs from the mean value by at most 2.5 standard deviations is 0.8473

Let the required probability that the maximum speed of mopeds differs from the mean speed by 2.5** standard deviations** be given by P(U±2.5).

**Mean speed** U =46.7km/hr

P(46.7±2.5) = (44.2<= X <=49.2)

= P( 44.2<= Z <= 49.2)

= P(44.2 - 46.7/1.75 <= Z <= 49.2- 46.7/1.75)

= P( - 1.4286 <= Z <= 1.4285)

= P(1.4285) - P(-1.4285)

= P(1.43 ) - P(-1.43)

= 0.92364 - 0.07636

= 0.8473

Thus the **probability** that maximum speed differs from mean value by at most 2.5 standard deviations is 0.8473

*the question is incomplete and the full question is "Mopeds (small motorcycles with an engine capacity below 50 cm3) are very popular in Europe because of their mobility, ease of operation, and low cost. Suppose the maximum speed of a moped is normally distributed with a mean value of 46.7 km/h and a standard deviation of 1.75 km/h. Consider randomly selecting a single such moped*

*What is the probability that maximum speed differs from the mean value by at most 2.5 standard deviations? (Round your answer to four decimal places.) You may need to use the appropriate table in the Appendix of Tables to answer this question"*

problem on **mean** and **standard deviation**

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May someone please help me! I have to submit this tonight and do not know how to do it or the answer may you please help me thank you!

### Answers

Answer is: y= -3/2x + 2

Given points J(3,4), A(7.5), and R(5,2), graph AJAR and its reflection image across the given line.Rx-axis

### Answers

By reflection triangle JAR across x- axis, we get

By comparing the given options, **we can see that the answer is option D**

The first three terms of a sequence are given. Round to the nearest thousandth (if necessary).

5, 2, 5/3

Find the 10th Term

### Answers

**Answer:**

-22

**Step-by-step explanation:**

10=a+9d

the first term is 5 and the common difference is -2

a=5

common difference=-3

5+9(-3)

5+(-27)

5-22

answer is -22

Plsss help I don’t know if “B” is right so plsss help me

### Answers

**Answer:**

it is C

**Step-by-step explanation:**

it cannot be A or B because ether angles 2 or 3 would have to be an obtuse angle, which neither of them is. So, this leaves C and D. It is not D because angles 2 and 3 are not corresponding (angles 2 and 4 are). This leaves option C as the only answer.

Pls mark brainliest with the crown

Need help ASAP! will give brainliest!

### Answers

**Answer:**

first one.

**Step-by-step explanation:**

the slope of the line is the rise over run, in triangle STU this is 3 over 2

in triangle FED this is 6 over 4, which simplifies to 3 over 2

proving that the slope of the line is constant.

On Tuesday, the mailman delivers three check for $5 and two bills for $2 each. If you had a starting balance of $25, what is the ending balance?

### Answers

That would be $36 I believe. 5 x 3=15 15+25=40 40-4=36

2 10) (x y2)4. 2x (2xy-2) y4 A) DP B) +3 8714 1 C) D) 4xºy 2x7 y? 2

### Answers

We have to solve this expression:

[tex]undefined[/tex]

Help with 4.), 5.), 8.), 10.), 12.) ? It due at 8:00, it’s 5:12 rn

### Answers

**Answer:**

see explanation

**Step-by-step explanation:**

(4)

6 = hj + k ( subtract k from both sides )

6 - k = hj ( isolate j by dividing both sides by h )

[tex]\frac{6-k}{h}[/tex] = j

(5)

[tex]\frac{v}{w}[/tex] = 9 ( multiply both sides by w to clear the fraction )

9w = v ( divide both sides by 9 )

w = [tex]\frac{v}{9}[/tex]

(8)

A = [tex]\frac{1}{2}[/tex] bh ( multiply both sides by 2 to clear the fraction )

2A = bh ( divide both sides by h )

[tex]\frac{2A}{h}[/tex] = b

(10)

V = [tex]\frac{1}{3}[/tex] πr²h ( multiply both sides by 3 to clear the fraction )

3V = πr²h ( isolate h by dividing both sides by πr² )

[tex]\frac{3V}{\pi r^2}[/tex] = h

(12)

V = πr²h ( isolate r² by dividing both sides by πh )

[tex]\frac{V}{\pi h}[/tex] = r² ( take square root of both sides )

[tex]\sqrt{\frac{V}{\pi h} }[/tex] = r

Question 8 of 10Which is not a characteristic of the linear parent function?A. The range is positive real numbers (y> 0).B. It goes through the origin.OC. It has a slope of 1.OD. The domain is all real numbers.SUBM

### Answers

Let's determine the statement which is not a characteristic of the linear parent function.

The linear parent function has the form:

[tex]y=x[/tex]

We have the graph below:

The function has the following properties:

• The line goes through the origin.

,

• It has a range of all real numbers

,

• It has a domain of all real numbers

,

• It has a slope of 1.#

**Therefore, the statement which is not a characteristic of the linear parent function is:**

• The range is positive real numbers (y > 0).

**ANSWER:**

• A. The range is positive real numbers (y> 0)

What is equivalent to 4x-3y=15

### Answers

Answer: y = 4/3 x - 5

Step-by-step explanation: trust me

) Write 2350 million in standard form.

### Answers

2350 million is equals to 2350×10lakhs =23500 lakh that is equal to 235 crores as 1 crore is equal to 100lakhs

Step-by-step explanation:

1 million is 10 lakhs pls mark it as the brainliest and follow me

So the answer is 235 crores = 235,00000000

Marc usually rides his bike to school. He leaves his house and

goes east to the park and then turns south and continues until he

reaches school. How many blocks does he ride to get to school?

### Answers

**Answer:2 blocks**

**Step-by-step explanation:**

because just trust me

PLEASEEE HELP ME ON THIS QUESTION! I HAVE TO SUBMITTHIS IN A BIT PLEASE HELP! :))

### Answers

**Answer: 196.5 lbs**

**Step-by-step explanation:**

[tex]237-9(4.5)=196.5[/tex]

The segments shown below could form a triangle?

### Answers

**Answer:**

yes

**Step-by-step explanation:**

it would form a acute triangle.

Hello! What graph could be used to find the solutions to the system of equations? Thanks for your help!

### Answers

**The Solution:**

Given:

[tex]\begin{gathered} y=\frac{2x-2}{x-3} \\ \\ x-y=1 \end{gathered}[/tex]

Required:

To determine the graph that represents the given system.

**Below is the graph of the given system:**

Therefore, **the correct answer is [ option 2 ]**