Answer:
f(x) = 5^x -2
Step-by-step explanation:
You want the equation for the graph attached.
Exponential functionThe graph has a horizontal asymptote for negative values of x, and rises rapidly for positive values of x. This suggests an exponential function.
TranslationThe graph of the parent exponential function will pass through the point (0, 1), which is 1 unit above the horizontal asymptote. Here, the horizontal asymptote is y = -2, and the graph passes through (0, -1).
This tells us the graph is vertically translated down 2 units and not translated horizontally at all. (Horizontal translation is equivalent to a vertical scale factor. The lack of it tells us the vertical scaling is 1.)
BaseThe parent exponential function b^x rises b units above the horizontal asymptote when the value of x is 1. Here, the function rises to +3 from the asymptote of -2 at x=1, so the base of the exponential is 3-(-2) = 5.
EquationThe equation for the graph is ...
f(x) = 5^x -2
Confirmation is shown in the attachment.
#95141404393
Perform the indicated operation. y^2+3y-10/3y+15
Answer:
Step-by-step explanation:
Hello, please consider the following.
We take y different from -5, as dividing by 0 is not allowed and we can compute as below.
\(\dfrac{y^2+3y-10}{3y+15}=\dfrac{(y+5)(y-2)}{3y+15}\\\\=\dfrac{(y+5)(y-2)}{3(y+5)}\\\\\large \boxed{\sf \bf \ \ =\dfrac{y-2}{3} \ \ }\)
Thank you
A cereal box is 2 inches wide 7 inches long and 13 inches high what is the surface area of a cardboard?
The surface area is 272 square inches.
What is cube?The term "cube" refers tο a sοlid three-dimensiοnal shape in mathematics οr geοmetry that has six square faces, eight vertices, and twelve edges. It is alsο asserted tο be a cοnventiοnal hexahedrοn. Yοu must be familiar with the three-by-three Rubik's cube, which is the mοst prevalent example in daily life and can help tο increase brain capacity. Similar tο this, yοu'll run intο a lοt οf real-wοrld examples, like 6 sided dice, etc.
Sοlid geοmetry is the study οf three-dimensiοnal οbjects with surface areas and vοlumes. Cube, cylinder, cοne, and sphere are sοme οf the οther sοlid shapes. Here, we'll talk abοut its definitiοn, attributes, and relevance tο mathematics.
A Bοx cοntains,
Length by 8 inches, Breadth by 2 inches, Height by 12 inches.
using fοrmula:
Surface area = 2lw+2lh+2wh
Length by 8 inches, Breadth by 2 inches, Height by 12 inches
= (2×8×2)+(2×8×12)+(2×2×12)
=32+192+48
=272
Hence, the surface area is 272 square inches.
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Last week a baseball bat was on sale at Academy Sports for $125.90. It is now on sale for $88.13. Also last week there was a baseball Helmet for $35. If this week the Helmet has the same % discount as the bat, what is the new sale price of the helmet?
Answer:
Step-by-step explanation:
125.90$ - 88.13$ = 37.77
37.77$ - 35$ = 2.77
inver laplace
\( {l}^{ - 1} ( \frac{s}{( {s}^{2} + 16)^{2} } ) \)
Answer:
s
_______________
ls^4 + 32ls^2 + 256l
Step-by-step explanation:
I used an algebra calculator called MathPapa to solve your equation.
Also, welcome to brainly!
The vertices of quadrilateral MNPQ are M(4, 2) , N(6, - 2) , P(10, 0) , and Q(8, 4) Which best describes quadrilateral MNPQ?
Answer:
D. square
Step-by-step explanation:
The reason why it going to be square is because, of the picture below:
It's perfectly the same on all sides so it can't be a rectangle and it is not a diamond shape for rhombus, it also can't be a parallelogram because, parallelograms don't have the same shape as a square as seen below. Therefore, your only possible answer would be D. square
Suppose you deposit 1000 $ in a savings account that pays interest at an annual rate of 4%. If no money is added or withdrawn from the account, answer the following questions.
How much will be in the account after 3 years?
b. How much will be in the account after 16 years?
c. How many years will it take for the account to contain 1,500 $?
d. How many years will it take for the account to contain 2000$?
Some one please helppppppp mee
Answer:
a. 1124.86
b. 1872.98
c. 10.35
d. 17.7
Step-by-step explanation:
use the formula A(t) = a (1+r)^t
Whats the correct answer answer asap for brainlist
Answer:
this is not belongs to mathematics
Step-by-step explanation:
can someone please help my question is the sum of six and c
Answer: i dont know
Step-by-step explanation:
What is the solution to the equation 3m-4-3/2m+8=0?
Om = -24
Om = -12
Om = -6
O m = -4
Answer:
\(m=-8/3\), the options are wrong
Step-by-step explanation:
\(3m-4-\frac{3}{2}m+8=0 \\ \\ 6m-8-3m+16=0 \\ \\ 3m+8=0 \\ \\ m=-\frac{8}{3}\)
The question is incorrect.
2021: Sales Revenues = $800,000. Cost of good sold = $350,000
2020: Sales Revenues = $795,000. Cost of good sold = $600,000
Answer:
Step-by-step explanation:
Sales Revenue: $800.00
Cost of good sold: $350,000.00
Subtract: $450,000.00
Sales Revenue: $795,000.00
Cost of good sold: $600,000.00
Subtract Sales $195,000.00
Revenue from Cost
of goods sold.
A state university is interested in where its students come from. They survey 300 of its students to find out if they are in-state, out-of-state, or foreign students. Match the vocabulary word with its corresponding example.
In-state corresponds to students who are residents of the same state as the university, out-of-state corresponds to students from different states, and foreign corresponds to students from countries other than the university's country.
To match the vocabulary word with its corresponding example in the context of the state university survey, we need to understand the terms and their meanings.
Here are the vocabulary words and their corresponding examples:
Vocabulary Word: In-state
Example: A student who is a resident of the same state where the university is located.
They pay lower tuition fees compared to out-of-state or foreign students.
Vocabulary Word: Out-of-state
Example: A student who is not a resident of the state where the university is located.
They typically pay higher tuition fees compared to in-state students.
Vocabulary Word: Foreign
Example: A student who is from a country other than the country where the university is located.
They are international students who may have different visa requirements and tuition fees.
To match these vocabulary words with their corresponding examples:
In-state: A student from the same state as the university, paying lower tuition fees.
Out-of-state: A student from a different state than the university, paying higher tuition fees.
Foreign: A student from a country other than the country where the university is located, with potential differences in visa requirements and tuition fees.
By associating each vocabulary word with its respective example, we can accurately describe the three categories of students based on their residency and origin in the context of the state university's survey.
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Find the unit rate: 48 slices from 3 cakes = Slices per cake
Answer:
Step-by-step explanation:
Slices made from 3 cakes = 48
Slices made from 1 cake = 48 ÷ 3 = 16
16 slices are made from 1 cake.
Hi!
First, we must divide 48 by 3, because that will give us the number of slices per cake.
The unit rate is a rate for one of something, therefore we must find the # of slices per one piece of cake.
48 / 3 = 16
Therefore, there are 16 slices per cake, or 16/1.
is this a rigid motion
The transformation in this problem is a translation combined with a reflection, hence yes, it is a rigid motion, as the side lengths of the transformed figure are equal to the side lengths of the original figure.
What are transformations on the graph of a function?Examples of transformations are given as follows:
Translation: Translation left/right or down/up.Reflections: Over one of the axes or over a line.Rotations: Over a degree measure.Dilation: Coordinates of the vertices of the original figure are multiplied by the scale factor.The dilation is the only transformation that is not a rigid motion, as it changes the side lengths of the figure.
The transformation for this problem has the rule defined as follows:
(x,y) -> (x + 2, -y).
The transformations are defined as follows:
x -> x + 2 is a translation right two units.y -> -y is a reflection over the x-axis.Neither transformation is a dilation, hence it is a rigid motion.
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If ABCD is dilated by a factor of 3, the coorinate of B' would be ?
B' would now have the following updated coordinates: (-6, 6)
What is dilation?resizing an object is accomplished through a change called dilation. The objects can be enlarged or shrunk via dilation. A shape identical to the source image is created by this transformation. The size of the form does, however, differ. A dilatation ought to either extend or contract the original form. The scale factor is a phrase used to describe this transition.
The scale factor is defined as the difference in size between the new and old images. An established location in the plane is the center of dilatation. The dilation transformation is determined by the scale factor and the center of dilation.
If ABCD is dilated by a factor of 3
Then To enlarge this by a factor of three...
-2 * 3 = -6
2 * 3 = 6
B' would now have the following updated coordinates:
(-6, 6)
There are a few things to be aware of:
- A "scale factor" is three.
Hence B' would now have the following updated coordinates: (-6, 6)
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is y=-2x proportional
Answer:
no
Step-by-step explanation:
Answer:
Yes, if you are referring to proportionality in general. No if you are referring to a direct proportionality.
Step-by-step explanation:
y = -2x is negatively proportional so it is not directly proportional because y or one quantity decreases when x or another quantity increases. In a directly proportional relationship, as one quantity increases another quantity must increase at the same rate, in other words both must increase thus be positive. When something is proportional it has a constant ratio, and relation.
Direct proportionality or variation is represented by y ∝ x, where ∝ is the symbol used to represent proportionality.
y = kx where k is the constant of proportionality.
Where k = y/x.
which propertied belong to all isosceles triangles? check all that apply
Answer:
Step-by-step explanation:
At least two sides have the same length.
At least two angles have the same measure.
The base angles (angles opposite the equal sides) have the same measure.
The altitude (perpendicular segment from the base to the vertex) bisects the base and the corresponding base angle.
The median (segment connecting the vertex to the midpoint of the base) is also an altitude, angle bisector, and perpendicular bisector of the base.
Based on these characteristics, the properties that belong to all isosceles triangles are:
At least two sides have the same length.
At least two angles have the same measure.
The base angles have the same measure.
Therefore, the correct options are:
At least two sides have the same length.
At least two angles have the same measure.
The base angles have the same measure.
300,000+5,000+80+8· 1/100 +9· 1/10,000
Answer:
305,080.0809
Step-by-step explanation:
3 x 100,000 : digit 3 is in the hundred thousands place
5 x 1000 : digit 5 is in the thousands place
8 x 10 : digit 8 is in the tens place
8 x 1/100 : digit 8 is in the hundredths place which means it is the second number after the decimal
9 x 1/10,000 : digit 9 is in the ten thousandths place which means it is the fourth number after the decimal
we get the following number:
305080.0809
A cookie costs $1.95. How much would 15 cookies cost at the same price per cookie?
Answer:
cost of cookie = $1.95
cost of 15 cookies = $1.95 *15
cost of 15 cookies = $29.25
Step-by-step explanation:
if x² = 64, then 1/3 + x⁰
Answer:
4/3 or 1 1/3
Step-by-step explanation:
Finding x
x² = 64x = ±8Substitute in the equation
1/3 + (±8)⁰1/3 + 14/3 or 1 1/3Answer:
\(\huge\boxed{\bf\:\frac{4}{3} }\)
Step-by-step explanation:
If, \(x^{2} = 64\), then,
\(x^{2} = 64\\x = \sqrt{64}\\x = (+/-)8\)
Now, remember that any number when folllowed by exponent 0 will always have its value as 1.
Then,
\(\frac{1}{3} + x^{0} \\ =\frac{1}{3} + (+/-8)^{0} \\= \frac{1}{3} + 1\\=\frac{1}{3} +\frac{3}{3} \:\:\:\: (LCM = 3)\\ \boxed{\bf\:\frac{4}{3} }\)
\(\rule{150pt}{2pt}\)
What type of number is -3.709?
Answer:
Integer & Rational
Step-by-step explanation:
It is not a whole number.
And integer is a negative number.
A rational number is a number that can be transformed into a fraction. \(\frac{3709}{1000}\)
Hope this helps!
Can you simplify thiss !
-2 - x
To simplify the expression -2 - x, we can combine the constant term (-2) with the variable term (-x).
So, -2 - x simplifies to -2x - 2.
Let's simplify the expression -2 - x step by step:
Step 1: Start with the given expression: -2 - x.
Step 2: To simplify, we combine like terms. In this case, we have a constant term (-2) and a variable term (-x).
Step 3: Combine the constant term (-2) with the variable term (-x) by subtracting x from -2. This gives us -2x.
Therefore, the simplified expression is -2x.
In summary, -2 - x simplifies to -2x.
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Cómo se hace y cómo es el proceso ayuda porfaaaaa
Answer:
30: 100
31: -13
32: -45
33: 14
34: -32
35: -22
36: 17
Evaluate the expression
if x = 2, y = 3, and z = 4.
2x²-y + 2(z-1)
Answer:
11
Step-by-step explanation:
Substituting the values of x, y, and z into the expression, we get:
2x² - y + 2(z-1) = 2(2)² - 3 + 2(4-1)
= 2(4) - 3 + 2(3)
= 8 - 3 + 6
= 11
Therefore, if x = 2, y = 3, and z = 4, then the value of the expression 2x² - y + 2(z-1) is 11.
Answer:
11
Step-by-step explanation:
if x = 2, y = 3, and z = 4.
2x²-y + 2(z-1)
Substituting the given values of x, y, and z, we get:
2x² - y + 2(z-1) = 2(2)² - 3 + 2(4-1)
= 2(4) - 3 + 2(3)
= 8 - 3 + 6
= 11
Therefore, the value of the expression when x = 2, y = 3, and z = 4 is 11.
BODMAS (Brackets, Order, Division, Multiplication, Addition, Subtraction) is used to determine the sequence of operations in a mathematical expression. It is used to avoid confusion and ensure that everyone obtains the same answer from a mathematical expression. The rule states that the operations inside the brackets must be done first, followed by orders, then division and multiplication (from left to right), and finally addition and subtraction (from left to right).
A campus radio station surveyed 500 students to determine the types of music they like. The survey revealed that 197 like rock,153 like country, and 119 like jazz. Moreover, 19 like rock and country, 25 like rock and jazz, 21 like country and jazz, and 7 like all three types of music. How many students surveyed liked rock only
Answer:
216
Step-by-step explanation:
197 + 19 = 216
Solve distance 120 meters time 30 seconds
Answer:
4
Step-by-step explanation:
Please please look at the picture and answer the question thank you
Answer:
\(\boxed{-2 < x\le1}\)
Representation on number line is in attached image.
Notice that -2 has an unfilled circle and 1 has a filled circle. Important
Step-by-step explanation:
The given inequality is
\(2 < 4x+10\le14\)
Subtract 10 throughout:
\(2-10 < 4x+10-10\le14-10\\\\)
\(-8 < 4x\le4\)
Divide throughout by 4:
\(-2 < x\le1\)
Answer: \(\boxed{-2 < x\le1}\)
This is represented on the number line as follows: Notice the use of the
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Answer: A,B,E,F
Step-by-step explanation:
Answer:
The answer is A, B, E, F
Step-by-step explanation:
.......... do it now? Can't I do it later?
a) I've to
b) Have I
c) Do I have to
d) Should I
Answer:
d
Step-by-step explanation:
You are asking a question trying to suggest whether it can be done later
Factor the greatest common factor to select an equivalent expression to 36c - 30
A. 3 (12c - 10)
B. 2 (18c - 15)
C. 6 (6c - 5)
D. - (-36c + 30)
Answer:
Answer is 6 is 6(6c-5)
it is correct
How far is 40% of a 2,000 kilometer trip
Answer:
800 km
Step-by-step explanation:
2,000 x 40%
2,000 x 0.4
= 800
Your answer is 800 km
Answer:
800km
Step-by-step explanation:
Just find 40% of 2000 which will be
\(\frac{2000}{100}\)*40 = 800kilometers.