B. The function shown on the graph has a smaller rate of change, but a higher starting point.
What is rate of change in linear graph?Rate of change = slope of a linear graph.
Given the linear function, [tex]y=4x+2[/tex] , the rate of change here is represented by the slope of the line, which is 4.
Let's find the rate change of the function represented on the graph using slope formula:
Rate of change = [tex]\frac{y2-y1}{x2-x1}[/tex]
Use coordinates of any two points on the line. Let's take,
[tex](0,4)= (x1,y1)\\(1,7)=(x2,y2)[/tex]
Rate of change = [tex]\frac{7-4}{1-0} = 3[/tex]
Rate of change of the linear function of the graph = 3.
Thus the function on the graph has a smaller rate of change, than the function, y = 4x + 2.
The starting value of a function is the y-intercept, that is, the value of y, when x = 0. It is the point at which the line intercepts the y-axis.
The starting value of the linear function, y = 4x + 2 is 2.
The starting value of the function on the graph is 4. At this point, x = 0.
Thus, the function on the graph has a higher starting point.
The statement that correctly compares the function shown on this graph with the function y= 4x+2 is:
B. The function shown on the graph has a smaller rate of change, but a higher starting point.
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You and your friend go to a taco truck for lunch. You order 3 soft tacos and 3 burritos and spend $11. 25. Your friend orders 4 soft tacos and 2 burritos and spends $10. 0
Therefore ,As a result, the answer to the provided equation is that a burrito costs $2.50 and a soft taco costs $1.50.
Define equation .A number, a variable, or a mix of both plus certain operation symbols make up an expression. An equal sign separates two expressions that make up an equation. Word illustration The product of 8 and 3 is 11.
Here,
Let the price of a soft taco be set at s.
Let b be the price for one burrito.
Therefore, we have this system.
3s + 3b = 11.25
4s + 2b = 10.00 (1) (1)
By multiplying the first equation by 3, we get that.
If s + b = 3.75, take b off of both sides.
s = 3.75 - b (2) (2)
Subtract (2) from (1) and you get
Simplify 4 (3.75 - b) + 2 b = 10.00.
15 - 4b + 2b = 10.00
Subtract 15 from both sides (-2b + 15 = 10) to get the total.
Divide both sides by -2 to get -2b = - 5.00.
b = 2.50
as well as (2)
s = 3.75 - 2.50 = 1.50
As a result, the answer to the provided equation is that a burrito costs $2.50 and a soft taco costs $1.50.
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What is (3/2) raised to the power of -3?
What is (3/2)^-3?
There are two chords AB and CD in a circle. |AB| = 10 cm, |CD| 10 cm, |CD| = 8 cm and the radius of the circle is 12 cm. What is the distance of each chord from the centre of the circle?
The distance of each chord from the centre of the circle are √119 and √128 respectively .
Given,
Radius of a circle = 12 cm
AB = 10 cm
CD = 8 cm
Now, we get
BG = 10/2 = 5 cm
HD = 8/2 = 4 cm
(A perpendicular coming from the centre, which is not a diameter, bisects the chord.)
Now,
BE = ED = EF = 12 cm (All radii of a circle are equal.)
Now, by Pythagoras Theorem, we get
H² = P² + B²
For GE —
(BE)² = (GE)² + (BG)²
or, (12)² = GE² + (5)²
or, 144 = GE² + 25
or, GE² = 144 — 25
or, GE² = 119
or GE = ±√119
or GE = √119 (Since, length cannot be negative.)
For HE —
(DE)² = (HE)² + (HD)²
or, (12)² = HE² + (4)²
or, 144 = HE² + 16
or, HE² = 144 — 16
or, HE² = 128
or, HE = ± √128
or, HE = √128 or 8√2(Since, length cannot be negative.)
Hence , the distance of each chord from the centre of the circle are √119 and √128 respectively .
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Find the area of the regular polygon.
2.77
2.5
A
square units
The area of the heptagon is 24. 2 square units
How to determine the valueTo determine the area of the shape which is a heptagon, we have that;
A = 1/2)nsr.
Such that the parameters of the formula are written as;
n s the number of sidess is the length of the sidesr is the apothemFrom the information given, we have that;
n = 7
s = 2. 77
r = 2. 5
Substitute the values, we have that;
Area = 1/2 × 2. 5 × 2. 77 × 7
Multiply the values, we get;
Area = 1/2 × 48.475
Divide the values
Area = 24. 2 square units
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Can you help me with this
The graph of a line with a slope of 3/5 has an equation of y = 3/5x + 1 and the graph is attached
How to plot the graphFrom the question, we have the following parameters that can be used in our computation:
Graph of a line with a slope of 3/5
This means that
Slope = 3/5
And it also means that the equation is a linear equation
A linear equation is represented as
y = mx + c
Where
m = slope
i.e. m = 3/5
So, we have
y = 3/5x + c
Assume that c = 1
So, we have
y = 3/5x + 1
Hence, the equation is y = 3/5x + 1
See attachment for graph
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Find the work done by a force of 200 pounds acting in the direction in moving an object 75 feet from (0, 0) to (-75, 0).
Answer: [tex]15000\ lbf.ft[/tex]
Step-by-step explanation:
Given
Force acting is [tex]200\ Pounds[/tex]
The direction of action is from [tex](0,0)\ to\ (-75,0)[/tex]
Work done is given by
[tex]W=F\cdot ds[/tex]
As the displacement occurs in the x-direction
[tex]\therefore W=200\cdot 75\\\Rightarrow W=15000\ lbf-ft[/tex]
Can 123 make a triangle?
No, 1, 2, and 3 are not valid side lengths for a triangle. So 1, 2 and 3 cannot make a triangle.
In order for a shape to be a triangle, the sum of the lengths of any two sides must be greater than the length of the third side. This is known as the triangle inequality theorem.
3 + 2 = 5 > 1
3 + 1 = 4 > 2
1 + 2 = 3 not greater than 3
So as 1 + 2 not greater than 3, these set of side lengths does not follow the theorem. Thus a triangle cannot be formed with sides of length 1, 2, and 3.
--The question is incomplete, answering to the question below--
" Can 1, 2 and 3 make the sides of a triangle?"
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Write the additive inverse of 3/2
Answer:
1.5
Step-by-step explanation:
2/2=1 so 2/1=0.5 so answer is 1.5
Answer:
- [tex]\frac{3}{2}[/tex]
Step-by-step explanation:
The additive inverse is the value that requires to be added to make the sum zero, that is
[tex]\frac{3}{2}[/tex] - [tex]\frac{3}{2}[/tex] = 0
The additive inverse is - [tex]\frac{3}{2}[/tex]
Can someone help me step by step !!
Answer:
[tex]x=\sqrt{153}[/tex]
Step-by-step explanation:
[tex](\overline{BC})^2 = (\overline{AB})^2 + (\overline{AC})^2\\\\(13)^2=(x)^2+(4)^2\\\\169 = x^2+16\\\\169-16=x^2\\\\153=x^2\\\\\sqrt{x^2} = \sqrt{153}\\\\x=\sqrt{153}[/tex]
Given the following arithmetic sequence find the formula.
Answer:
D. an = 4n
Step-by-step explanation:
The formula for finding a term of an arithmetic sequence is:
an = a1 + (n-1)d
where an is the nth term, a1 is the first term and d is the common difference between the terms.
To find d we can take any two adjacent terms and subtract one from the other. e.g. 8 - 4 = 4, 16-12 = 4 etc.
The common difference here is 4, and we can see that the first term of the sequence is also 4, therefore our formula now looks like this:
an = 4 + (n-1)4
Now we can just expand out the brackets to find the final answer:
an = 4 + 4n - 4
an = 4n
Hope this helped!
What will be the simplified form of 21b − 32 7b − 20b?
The simplified form of 21b − 32 7b − 20b would be 8b - 32.
Reducing an equation is a technique for rewriting it in a more straightforward format. Although some mathematical equations are not in the form of linear equations, they can be converted into linear equations by applying certain mathematical operations to them. These equations can be easily solved after being reduced to linear form, and the value of the unknown can be determined.
21b – 32 + 7b – 20b
= 21b + 7b – 20b – 32
= 28b – 20b – 32 = 8b – 32
21b - 32 + 7b - 20b
= 21b + 7b - 20b -32
= 8b - 32
=8b - 32.
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Radicals
How Do I Simplify
(3√5+√3)(√5+ √3)
Answer:
18 + 4√15
Step-by-step explanation:
(3√5+√3)(√5+ √3)
= 3√5 (√5+ √3) + √3 (√5+ √3)
= 3√5 √5 + 3√5 √3 + √3 (√5+ √3)
= 3√5 √5 + 3√5 √3 + √3 √5 + √3 √3
= 18 + 4√15
If you can, please give me a Brainliest, thank you!
What are the 3 parts of a quadratic equation?
The 3 parts of a quadratic equation are standard form, factored form and vertex form.
A quadratic equation is a polynomial equation of degree two in one variable of type f(x) = ax² + bx + c where a, b, c, ∈ R and a ≠ 0.
There are three forms of quadratic equations
Standard form of quadratic equation y = ax² + bx + c
factored form of quadratic equation y = a(x − r₁)(x − r₂)
Vertex form of quadratic equation y = a(x − h)² + k
Each of the above quadratic forms looks unique, allowing the different problems to be more easily solved in one form than another.
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12[6.3+3(1.9)] what comes first
The value of the numerical expression 12 × [6.3 + 3 × (1.9)] will be 144.
What is Algebra?Algebra is the study of abstract symbols, while logic is the manipulation of all those ideas.
The acronym PEMDAS stands for Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This approach is used to answer the problem correctly and completely.
The numerical expression is given below.
⇒ 12 × [6.3 + 3 × (1.9)]
Simplify the numerical expression, then we have
⇒ 12 × [6.3 + 3 × (1.9)]
⇒ 12 × [6.3 + 5.7]
⇒ 12 × 12
⇒ 144
The value of the numerical expression 12 × [6.3 + 3 × (1.9)] will be 144.
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Solve.
x/2 - 7/6 < 4/3
x>-5
x>5
x<5
x<-5
Answer:
Answer is X<5
Please mark me brainliest
Step-by-step explanation:
1) Jesus has 100 and he expends 8 dollars every
day. How much money would he have left after 8.
days? Show all your work.
Answer: Jesus will have 36 dollars after 8 days
Step-by-step explanation: 8 x 8= 64
100-64=36
we would descried 9x+5 as an?
Answer:
an expression.
Step-by-step explanation:
have a nice day! ʀɪʙʙɪᴛ
~tsu-chan (>_<)
Answer:
value/expression
Step-by-step explanation:
Use the equation to answer the following question.
3x2 + 7x - 20 = 0
What are the solutions of the equation?
Ο Α.
5
X=- and x = 4
3
B
X =
4
and x = 5
3
O C
4
X= and x = -5
3
D
x - an
and x = -4
Answer:
d
Step-by-step explanation:
Warren is tiling his bathroom. He wants to cut three different sizes of square tiles. Tile A must be square inches, tile B must be square inches, and tile C must be square inches. He needs to know the side length of each tile. Part A In the table, note your guesses and checks to find the length of tile A, which has an area of square inches. Estimate the value to five decimal places
The length of tile A is 2.36068 inches.
The quantity of square units required to completely fill a square is known as the area of a square.
The region that lies inside the confines of a flat item or a two-dimensional figure is generally referred to as the area.
The measurement is made using square units, with square meters serving as the standard unit (m^2).
The square unit serves as the unit of area.
Let us recall that the area of a square is given by;
A = side^2
This is because, all the sides of a square are equal hence
When A = 5 square inches
5 = side^2
side = √5
side = 2.36068 inches
Therefore, The length of tile A is 2.36068 inches.
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Write a rule for g that represents the indicated transformations of the graph of f.
f(x)=x³-6; translation 3 units left, followed by a reflection in the y-axis.
The function obtained after transformation is given as -x³ + 9x²- 27x + 21.
How to transform a graph of the function?The graph of a function can be transformed by either shifting it in the right, left, up or down.
When the transformation is rightwards, the function becomes as f(x - a).
For left shifting it is f(x + a).
The function is given as f(x) = x³- 6.
The translation of 3 units towards left can be written as,
f(x + 3) = (x + 3)³ - 6
⇒ x³ + 9x² + 27x + 21
For reflection across y axis replace -x with x as below,
⇒ (-x)³ + 9(-x)² + 27 × -x + 21
⇒ -x³ + 9x²- 27x + 21
Hence, the required form of the transformed function is -x³ + 9x²- 27x + 21.
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The data below shows the orders that were placed at a local paint shop. 1 2 3 4 Paint orders 5 6 Gallons 7 8 9 10 Solve for the MEAN of this data set. If needed, round to the nearest tenth.
To find the MEAN of Natural numbers, such as 1, 2, 3, 4, 5, 6, 7, 8, 9, and 10, a + b + c3 is the sum of the three numbers a, b, and c. Therefore, 5.5 is the MEAN of the first 10 natural numbers.
Find the MEAN Of Data setFirstly The Given set of numbers Represents Natural numbers,
A natural number is an integer greater than 0. Natural numbers begin at 1 and increment to infinity: 1, 2, 3, 4, 5, etc.
Therefore, the first ten natural numbers are 1, 2, 3, 4, 5, 6, 7, 8, 9, 10.
And the mean of three numbers a, b, c is a + b + c3
Then the mean of 10 numbers 1, 2, 3, 4, 5, 6, 7, 8, 9, 10 is:-
⇒1+2+3+4+5+6+7+8+9+1010
Adding and dividing we get the value of the above term as,
⇒1+2+3+4+5+6+7+8+9+1010=5510=5.5
Hence, the mean of the first 10 natural numbers is 5.5.
Note: To solve this problem, you must understand that the integers greater than zero are natural numbers and that the mean of the three numbers a, b, and c equals a + b + c3. Knowing how to calculate the average number of elements and being familiar with natural numbers can help you arrive at the correct conclusion.
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graph the function in the image.
Answer:
Here is the graph to the intercepts.
Step-by-step explanation:
Graph of (6, 4), (4, 3), (-2, 0)
Hope it helps :)
What does 2 equivalents mean in chemistry?
An equivalent is the amount of a substance that reacts with an arbitrary amount of another substance in a given chemical reaction.
Arbitrary
It is a relative unit of measurement to show the ratio of amount of substance, intensity, or other quantities, to a predetermined reference measurement.
chemical reaction
chemical reaction is a process in which one or more substances, the reactants, are converted to one or more different substances, the products. Substances are either chemical elements or compounds.
Examples of chemical changes include baking soda and vinegar creating carbon dioxide, iron rusting, and wood burning.
There are five types of general chemical reactions: Combination or synthesis, decomposition, single displacement, double displacement, and combustion.
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What are the 4 ways to solve a quadratic equation?
The four ways are 1) Factoring 2) Completing the Square 3) Quadratic Formula and 4) Graphing
1. Factoring: Factoring is the process of breaking down an expression into its simplest components. To solve a quadratic equation using factoring, you must start by writing the equation in standard form (ax² + bx + c = 0). Then, you must factor the equation into two binomials (x + a)(x + b) = 0. Once this is done, you can solve for x by setting each factor equal to zero and solving for x.
2. Completing the Square: Completing the square is another method of solving a quadratic equation by rewriting it in the form of (x + a)² = b. To do this, you first start by writing the equation in standard form (ax² + bx + c = 0). Then, you must rearrange it so that all the terms are on one side of the equation and the constant is on the other side. Next, divide the coefficient of x² by two and then square this number. Finally, add this number to both sides of the equation, which will then allow you to solve for x.
3. Quadratic Formula: The quadratic formula is a useful tool for solving quadratic equations.
4. Graphing : is another method useful for solving quadratic equation.
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what is the sum of all the even numbers between 30 and 36?
Answer:
30 + 32 + 34 + 36 = 132
Hope this helps!!
The top of a plateau is the highest point in an area. The difference between the top of the plateau and the lowest point in the area is 250 meters. Which word describes this 250-meter measurement
Relief refers to the highest and lowest point elevation in an area.
Relief
Relief is the term used for the differences in height from place to place on the land’s surface and it is greatly affected by the underlying geology. Relief relies on the hardness, permeability and structure of a rock.
elevation
The elevation of a geographic location is its height above or below a fixed reference point, most commonly a reference geoid, a mathematical model of the Earth's sea level as an equipotential gravitational surface.
geology
Geology describes the structure of the Earth on and beneath its surface, and the processes that have shaped that structure. It also provides tools to determine the relative and absolute ages of rocks found in a given location, and also to describe the histories of those rocks.
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Answer: Relief
Step-by-step explanation:
Relief refers to the highest and lowest point elevation in an area.
Slope is the measure of steepness
Topography refers to the arrangement of the land in an area
Elevation on the other hand is the distance above sea level
What is the slope of the line on this graph?
Answer:
The slope would be 3! Hope this helps
PLEASE SOMEONE HELP. I’m FAILING MATH . WILL NAME BRAINLIEST AND ITS WORTH 30 points!!
Answer:
See below
Step-by-step explanation:
[tex] m\angle ABC = 2\times m\angle AEC = \boxed {60} \degree [/tex]
(By inscribed angle theorem)
[tex] m\widehat{AC} = m\angle ABC = 60\degree [/tex]
(Central angle and its corresponding arc theorem)
[tex] m\widehat {DC} = 180\degree - (60\degree + 80\degree) [/tex]
[tex] m\widehat {DC} = 40\degree [/tex]
[tex] m\angle DBC = m\widehat {DC} = \boxed {40} \degree [/tex]
(Central angle and its corresponding arc theorem)
[tex] m\angle ACE = \boxed {90} \degree [/tex]
(Angle inscribed in a semicircle)
[tex] m\angle DAE = \frac{1}{2}\times 80\degree = \boxed {40}\degree [/tex]
(By inscribed angle theorem)
[tex] m\angle ADE = \boxed {90}\degree [/tex]
(Angle inscribed in a semicircle)
[tex] m\angle FCB = \boxed {90}\degree [/tex]
(By tangent radius theorem)
[tex] m\angle CED = \frac{1}{2}\times 40\degree = \boxed {20} \degree [/tex]
(By inscribed angle theorem)
can someone explain how to get the answer for the following question ?
Find the coordinates of the point of intersection of the parabola y = 3x^2 - x - 7 and the line y = 5x - 10
the answer is (1,-5) if you need it just explain how to get it !!
Max's living room is 4 meters wide and 7 meters long. He wants to put a border around the top of the room. The cost of the border is $0.84 per meter. How much will it cost to buy enough of the border to go around the room?
Answer:
$18.48
Step-by-step explanation:
Find perimiter of room
4+4+7+7 =22
22•0.84 = 18.48
$18.48