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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The required y-intercept 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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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°
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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Simplify m^9 m^−3.
A. -m^12
B. 1 / m^27
C. 1 / m^6
D. m^6
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
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.....
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!
Need help ASAP! will give brainliest!
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.
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
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)
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.
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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If you borrow $200 for 12 years atan annual interest rate of 2%, howmuch will you pay altogether?
$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
Hello! What graph could be used to find the solutions to the system of equations? Thanks for your help!
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 ]
What integer would represent a withdrawal of $170?
Answer:
-170
Step-by-step explanation:
we are withdrawing so minus from original amount
What symbol makes -3/4 and -11/12 a true sentence?
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
The first three terms of a sequence are given. Round to the nearest thousandth (if necessary).
5, 2, 5/3
Find the 10th Term
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
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?
what is x when 2x + 5 = 15
period ahh period uhh
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
The segments shown below could form a triangle?
Answer:
yes
Step-by-step explanation:
it would form a acute triangle.
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.)
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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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?
Answer:2 blocks
Step-by-step explanation:
because just trust me
Plsss help I don’t know if “B” is right so plsss help me
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
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!
16 is a what percen of 200
Answer:
32
Step-by-step explanation:
Help with 4.), 5.), 8.), 10.), 12.) ? It due at 8:00, it’s 5:12 rn
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
) Write 2350 million in standard form.
What is equivalent to 4x-3y=15
Answer: y = 4/3 x - 5
Step-by-step explanation: trust me
Which number is most likely an irrational number?
OA. -33.948826765...
B. 10.600000000...
O C. -6.099999999...
OD. 0.874874874...
The answer is A because it's a non-recurring decimal.
PLEASEEE HELP ME ON THIS QUESTION! I HAVE TO SUBMITTHIS IN A BIT PLEASE HELP! :))
Answer: 196.5 lbs
Step-by-step explanation:
[tex]237-9(4.5)=196.5[/tex]
Given points J(3,4), A(7.5), and R(5,2), graph AJAR and its reflection image across the given line.Rx-axis
By reflection triangle JAR across x- axis, we get
By comparing the given options, we can see that the answer is option D
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?
What kind of transformation converts the graph of f(x)=3x+9 into the graph of g(x)=3x–10?
Answer:
See below
Step-by-step explanation:
To get from +9 to -10 you will need to shift DOWN 19 units
2 10) (x y2)4. 2x (2xy-2) y4 A) DP B) +3 8714 1 C) D) 4xºy 2x7 y? 2
We have to solve this expression:
[tex]undefined[/tex]Graph the image of the figure using the transformation given.
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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