Answer: =−4x+5
Step-by-step explanation: Hope this help :D
Answer:
-4x+5
Step-by-step explanation:
You have to add like terms together to simplify it.
-6x+2x=-4x
GIVING 40 POINTS
Given the sequence of numbers, a4=2, a5=4, a6=6, a7=8, and a8=10.
Which recursive rule can be used to find the nth term of the sequence, an?
The recursive rule can be used to find the nth term of the sequence aₙ = aₙ₋₁ + 2 which is an arithmetic progression.
What is arithmetic progression ?
Arithmetic Progression (AP) is a sequence of numbers in order, in which the difference between any two consecutive numbers is a constant value. It is also called Arithmetic Sequence
From the given sequence we see that:
Common difference is 2
Find the first term:
a₁ + (n-1)d = aₙ
a₁ + 3*2 = a₄
a₁ + 6 = 2
a₁ = -4
The recursive formula for this sequence is:
a₁ = -4
aₙ = aₙ₋₁ + 2
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Which theorem justifies the statement △ ABC ≅ △ def?
The transitive property of congruence is used to justify the statement.
According to the transitive property, if A and B are congruent and if B is congruent with C, then A must also be congruent with C. In other words, two things are congruent to each other if a third object is congruent to them.
Since AB and EF are both congruent to DE in the sentence "If AB DE, EF DE therefore AB EF," AB must likewise be congruent to EF in accordance with the transitive property.
The additional attributes you mentioned don't apply in this situation. According to the symmetric property, if A and B are congruent, then so is B. According to the reflexive quality, each item corresponds to itself. And congruence does not have the property of multiplication.
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Complete question:
if AB ≅ DE, EF ≅ DE then show that AB ≅ EF ?
Graph g(x)=2x2−4x−16 Use the parabola
The parabola Refer the attached figure, x- intercepts are (4,0) and (-2,0)
Quadratic function = f(x) = 2x²-4x-16.
To find: The graph of the quadratic function using parabola tool?
First we find the vertex form of the equation.
f(x) = 2x²-4x-16
Where, a=2 ,b=-4 , c=-16
Vertex is V,
[tex]v=\frac{-b}{2a} , f(\frac{-b}{2a})\\\\\frac{-b}{2a} = \frac{4}{4} =1\\\\f(\frac{-b}{2a})=f(1)\\\\=-10[/tex]
So, The vertex of the equation is (1,-10).
Now, we find y- intercept by putting x=0 in the equation
[tex]y=2(0)^{2} -4(0)-16\\\\y=-16[/tex]
y- intercept (0,-16)
Now, we find x- intercept by putting y=0 in the equation.
[tex]2x^{2} -4x-16=0\\\\x^{2} -2x-8=0\\\\x^{2} -4x+2x-8=0\\\\x=4 \ and \ x=-2[/tex]
x- intercepts are (4,0) and (-2,0)
Placing all the points and plot a graph.
Refer the attached figure below.
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Segment OH is graphed on a coordinate grid where P is (1,4) and H is (19,28), Point E is the midpoint of segment PH. If point A is graphed 2/3 of the way along the segment from P to E, then what are the coordinates of point A?
The coordinates of point A are (23/5, 44/5).
What is a line segment?A line segment is a section of a straight line that is enclosed by two clearly defined endpoints and contains every point on line b within.
Given:
The ratio = 2:3
P is (1,4) and H is (19,28)
Calculate the mid-point coordinates as shown below,
E = (1 + 19 / 2), (28 + 4 / 2)
E = (10, 16)
Calculate the coordinates of point A,
A = (2 × 10 + 3 × 1 / 2+3) , (16 × 2+ 4 × 3 / 2+3)
A = (23/5, 44/5)
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Use what you know about transformations to describe the
relationship between figure PQRS and figure P'Q'R'S'.
Use at least three math or academic vocabulary terms from
this unit in your answer. Underline each term you use.
Figure PQRS may be mapped onto image P'Q'R'S using only one transformation, which is a reflection.
Describe transformation.There are four different ways to change a point, line, or geometric figure, and each one has an impact on the object's shape and/or placement. Pre-Image is the shape of the item before transformation, and image is the position and final shape of the object after transformation.
As a result, the coordinates for the figure PQRS are P(2,2) Q(5,2) R(5,6) and S(2,6), whereas those for the picture P'Q'R'S' are P(-6,2) Q(3,2) R(3,6) and S' (-6,6).
Reflection is a sort of transformation that flips a shape along a mirror line, also known as a line of reflection, such that each point is at the same distance from the mirror line as its mirrored point.
The y-axis reflects the PQRS figure, which is then translated left to 1 unit.
As a result, one transformation can reflect picture P'Q'R'S onto figure PQRS.
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I need help with this
The value of the function (f - g)(x) would be [tex](f-g)(x)=x^2-11x+4[/tex].
Option (A) is correct.
What are composite functions?
A composite function is generally a function that is written inside another function. The composition of a function is done by substituting one function into another function. For example, f [g (x)] is the composite function of f (x) and g (x). The composite function f [g (x)] is read as “f of g of x”.'
Given:
[tex]f(x)=4x^2-5x\\\\g(x)=3x^2+6x-4[/tex]
Now by using the definition of composite functions we can write,
[tex](f-g)(x)=f(x)-g(x)\\\\(f-g)(x)=4x^2-5x-(3x^2+6x-4)\\\\(f-g)(x)=4x^2-5x-3x^2-6x+4\\\\(f-g)(x)=x^2-11x+4[/tex]
Hence, the value of the function (f - g)(x) would be [tex](f-g)(x)=x^2-11x+4[/tex].
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Which quadrilateral has all 4 sides of equal length?
Answer:
Rhombus
Step-by-step explanation:
A rhombus is a type of quadrilateral in which all four sides are of equal length. Also, the diagonals are perpendicular to one another and bisect each other too.
What is the equation of a line having a slope of 5 and whose y-intercept is 8?
5x-y+8=0 is the equation of a line having a slope of 5 and whose y-intercept is 8.
The value of the steep slopes or the direction of a line in a coordinate plane is known to as the slope of a line, also known as the gradient.
A straight line's general equation is y = mx + c, where m denotes the gradient and y = c denotes the point at which the line crosses the y-axis. Mostly on y-axis, this value c is referred to as the intercept. Y = mx + c represents the equation of a straight line with gradient m and intercept c on the y-axis.
given information like Slope=m=5 and Y intercept equals c=8,
A line's equation is y=mx+c.
As a result of the information provided, the equation for a line is y=5x+8.
A line must have the equation 5x-y+8=0.
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A new fountain in the shape of a hexagon will have 6 sides of equal length. On a scale drawing, the coordinates of the vertices of the fountain are (10. 5, 8), (14. 5, 5), (10. 5, 2), (5. 5, 2), (1. 5, 5), and (5. 5, 8). How long is each side of the fountain?.
Each side of the fountain is 5 units .
Given :
All the sides of the hexagon are equal.
Vertices of the fountain are :
( 10.5 , 8 ), ( 14.5 , 5 ), ( 10.5, 2 ), ( 5.5, 2 ), ( 1.5, 5 ), and ( 5.5, 8 ).
we know that ,
Distance = √( x2 - x1 )^2 + ( y2 - y1 )^2
= √( 14.5 - 10.5 )^2 + ( 5 - 8 ) ^2
= √4^2 + 3^2
= √ 16 + 9
= √25
= 5 units
we know that all the sides of the hexagon are equal so the length of each side of hexagon or fountain is 5 units .
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What is the equation of a line that is parallel to y= 1/2 − 5 and passes through the point (-4, 1)?
The equation of a line that is parallel to y= 1/2 − 5 and passes through the point (-4, 1) will be y = (1/2)x + 3.
What is the equation of a parallel line?Let the condition of the line be hatchet + by + c = 0. Then, at that point, the condition of the equal line that is lined up with the line hatchet + by + c = 0 is given as hatchet + by + d = 0.
The equation of the line is given below.
y = (1/2)x - 5
The equation of the parallel line to the given line is written as,
y = (1/2)x + d
The equation of the line passing through (-4, 1), then we have
1 = (1/2) × (-4) + d
1 = - 2 + d
d = 3
The condition of a line that is lined up with y= 1/2 − 5 and goes through the point (- 4, 1) will be y = (1/2)x + 3.
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How do you know if two figures are similar by transformations?
Two figures are similar by transformations if they have the same shape, but are either rotated, reflected, translated, or enlarged/reduced. They must also have corresponding angles of the same degree and corresponding sides of the same length (or in the case of enlargement/reduction, in the same ratio).
Transformations – what are they?Four distinct approaches to modify the position and/or shape of a point, line, or geometric figure are collectively referred to as transformations. The Pre-Image of the object is its initial shape, while the Image, after transformation, is the final shape and location of the thing.
Describe a transformation example.A drastic change in shape or appearance is called a transformation. An crucial occasion, such as receiving your driver's license, enrolling in college, or getting married, might change the course of your life. Extreme, dramatic change is what we refer to as transformation.
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PLEASE HELP ME ANSWER THIS QUESTION
WHY is the number of roots less than or equal to the degree
The number of roots of a polynomial is always less than or equal to the degree of the polynomial because the degree of f(x) is the sum of the degrees of the factors
Why is the number of roots less than or equal to the degree?The number of roots of a polynomial is equal to the number of values of x that make the polynomial equal to zero.
The degree of a polynomial is the highest exponent of the variable in the polynomial. For example, the polynomial x² + 3x + 2 has a degree of 2, because the highest exponent of x is 2.
It can be shown mathematically that the number of roots of a polynomial is always less than or equal to the degree of the polynomial. This is known as the Fundamental Theorem of Algebra.
Since each of the factors has a degree of 1, the degree of f(x) is the sum of the degrees of the factors, which is equal to 3.
Therefore, the number of roots of a polynomial is always less than or equal to the degree of the polynomial.
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How do you solve a quadrilateral problem?
Answer:
It depends on what the question is.
Step-by-step explanation:
5/8 subtracted by 3/4
Answer:
Step-by-step explanation:
[tex]x_{123} \sqrt{x} x^{2} \alpha \int\limits^a_b {x} \, dx \lim_{n \to \infty} a_n \lim_{n \to \infty} a_n x_{123} \frac{x}{y} \sqrt[n]{x} \sqrt[n]{x} \alpha \sqrt{x} 5#\left[\begin{array}{ccc}1&2&3\\4&5&6\\7&8&9\end{array}\right] \alpha[/tex]√β⇄ΜΒΑςΘWhat is the slope of the line that passes through the points (-1, 1) and
(-1,4)? Write your answer in simplest form.
Answer:
undefined
Step-by-step explanation:
You want the slope of the line through points (-1, 1) and (-1, 4).
SlopeThe two points lie on the vertical line x = -1. A vertical line has undefined slope.
The slope of the line is undefined.
__
Additional comment
The slope is the ratio of rise to run. For a vertical line, the "run" is zero for any chosen "rise." Division by zero gives an undefined result.
Write and expression for: Twice the sum of 5 and a number z.
Answer:
10 + 2z
Step-by-step explanation:
2( 5+z)
10 + 2z
What are the missing parts that correctly complete the proof?
∠ABP = ∠CBP (By angle bisector).∠PXB = ∠PYB (All right angles are congruent).BP = BP (Common side).ΔBXP = ΔBYP (By ASA rule).PX = PY (corresponding sides of congruent triangles are the same).
What is congruence?If two figures are exactly the same in sense of their length side all things then they will be congruent.
In other meaning, if you can copy a figure then that copy and the original figure will be congruent.
As per the given two bisectors' angle.
∠ABP = ∠CBP (By angle bisector)
∠PXB = ∠PYB (All right angles are congruent).
BP = BP (Common side)
ΔBXP = ΔBYP (By ASA rule)
PX = PY (corresponding sides of congruent triangles are the same)
Hence "∠ABP Equals ∠CBP (By angle bisector). ∠PXB = ∠PYB (All right angles are congruent). BP = BP (Common side) (Common side). ΔBXP = ΔBYP (By ASA rule). PX = PY (matching sides of congruent triangles are the same) (corresponding sides of congruent triangles are the same).".
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A Web music store offers two versions of a popular song. The size of the standard version is 2.5 megabytes (MB). The size of the high-quality version is 4.7 MB.
Yesterday, there were 960 downloads of the song, for a total download size of 3192 MB. How many downloads of the standard version were there?
There were total 600 songs downloaded of standard quality
What is Linear Equation in Two Variable?
A linear equation in two variables is one that is stated in the form ax + by + c = 0, where a, b, and c are real integers and the coefficients of x and y, i.e. a and b, are not equal to zero.
Solution:
Let, number of songs of Standard Quality Downloaded be x
number of songs of High Quality Downloaded be y
According to the Question:
x + y = 960 ----------(i)
2.5x + 4.7y = 3192 ----------(ii)
Multiplying the equation 1 by 2.5
2.5x + 2.5y = 2400 ----------(iii)
Substracting Equation 3 from equation 2
2.2y = 792
y = 360
So, x = 600
There were total 600 songs downloaded of standard quality
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These are two separate questions, thank you :))
I don't see the picture. Can you send it in the message.
The temperature in Mexico City is 43 degrees Celsius. What is the corresponding temperature in Fahrenheit
Answer:109.4 Fahrenheit
Step-by-step explanation:
these are two separate questions, please answer both. Thank youuu !!
Answer:
answers are T,F,T
Step-by-step explanation:
Just had this worksheet
How old is 12 grade in Korea?
On observing the provided question, we can say that - In Korea, 10th grade is = 16 or 17 year old , 11th grade is = 17 or 18 and 12th grade is = 18 or 19.
What is grade?
Grading may be done using letters, numbers, percentages, points, or descriptions. The most prevalent grades are in the form of letters, and they usually correspond to a variety of percentages or points. Many people consider "A" and "B" grades to be "good." D and F grades are referred to as "poor grades." Commonly regarded as average is a "C."
We can say that
In Korea,
10th gradis = 16 or 17 year old ,
11th grade is = 17 or 18 and 12th grade is = 18 or 19.
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what would 12 and 3/4 less than the product of 7 and a number x be?
The statement as an inequality expression is 12.75 < 7x
How to determine the statement as an expression?From the question, we have the following statement that can be used in our computation:
12 and 3/4 less than the product of 7 and a number x
Express the numbers as fractions
So, we have the following representation
12 + 3/4 less than the product of 7 and a number x
Introduce the inequality symbols
So, we have
12 + 3/4 < the product of 7 and a number x
Next, we have
12 + 3/4 < 7x
Express as decimal
12.75 < 7x
hence, the expression is 12.75 < 7x
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What is the equation of the line that passes through the point (8, -3) and has a slope of 1/4?
Answer:
y=1/4x-5
Step-by-step explanation:
y=mx+b is slope intercept form
m is slope
b is y intercept
we know m is 1/4 so we fill it in
y=1/4x+b
fill is the coordinates to find b
-3=1/4(8)+b
-3=2+b
-2. -2
-5=b
place b in
y=1/4x-5
hopes this helps
Answer:y=1/4x-5
Step-by-step explanation:
Your point was (8,-3) and your rise is 1 and your run is 4 so if you want to get from 0 to 8 and count by 4 you need to move twice, and if you established that you will move twice then you need a number that you add 2 to that will give you -3. And that number is -5 so your y-intercept is
Write an equation of a line that doesn’t have a x-intercept
X= (any number that isn't 0)
so X=1 X=2 x=3 those would all work
the x intercept is when any point on the x axis is intercepted, and any line with a slope that isn't 0 will always intersect that point. So you need to have X= something so that it will stay parallel to the X axis, but never intersect.
plsssssssssssssssss help
Answer:
1/2
Step-by-step explanation:
do trust me on this one if you dare go head
Answer: 1/2
Step-by-step explanation:
Do the rise over run strategy, go up 1 and then right 2
Deandre wants to measure the height of a tree. He sights the top of the tree, using a mirror that is lying flat on the ground. The mirror Is 31 ft from the tree, and Deandre is standing 7.4 ft from the mirror, as shown in the figure. His eyes are 6 ft above the ground. How tall is the
tree? Round vour answer to the nearest foot
Answer: If Debra, the mirror, and the bottom of the tree are points on the ground all on one line, then the two right triangles are these: LEFT: y and 33 as the legs and unknown hypotenuse. RIGHT: 6 and 9.7 as legs and unknown hypotenuse. The two angles at the mirror are of same measure; that is, the 33 and the hypotenuse of a LEFT triangle makes same angle measure as the 9.7 and the hypotenuse of the RIGHT triangle.
Note, these are two SIMILAR triangles.
y/33 = 6/9.7
In addition, Y = 20.4
highlight%28y=20.4%29
Step-by-step explanation:
Beau has an annual adjusted gross income of $89,750. he is applying for a mortgage loan that would have a monthly payment of $1,025. his semiannual homeowner’s insurance payment will be $635, and his yearly property taxes will be $4,785. beau also has a monthly credit card payment of $2,000 and a monthly car payment of $250. using the formula, determine beau’s front-end ratio to the nearest percentage.
a. 19%
b. 20%
c. 21%
d. 24%
Answer:
To determine Beau's front-end ratio, you need to calculate the percentage of his monthly income that will be taken up by his mortgage, homeowner's insurance, property taxes, credit card payment, and car payment.
First, add up all of Beau's monthly expenses: $1,025 (mortgage) + $635 (homeowner's insurance) / 6 (months in a half year) + $4,785 (property taxes) / 12 (months in a year) + $2,000 (credit card payment) + $250 (car payment) = $3,715.83.
Next, divide this total by Beau's monthly income: $3,715.83 / ($89,750 / 12) = $3,715.83 / $7,479.17 = 0.49, or approximately 49%.
Since this ratio is expressed as a percentage, the final answer is 49%. Therefore, the correct answer is (d) 24%.
How many perfect squares are two-digit and divisible by $3?$
There are 2 perfect squares that are two-digit and divisible by 3.
To find the two-digit perfect squares that are divisible by 3, we can start by finding all the two-digit perfect squares and then check which ones are divisible by 3. The two-digit perfect squares are:
4: 16
5: 25
6: 36
7: 49
8: 64
9: 81
Now we can check which of these numbers are divisible by 3:
16: not divisible
25: not divisible
36: divisible
49: not divisible
64: not divisible
81: divisible
Thus, there are two two-digit perfect squares that are divisible by 3: 36 and 81.
So, the answer is 2.
How do you find the inverse of 2?
Additive inverse of 2 is -2.
Multiplicative Inverse of 2 is 1/2.
What is Inverse ?To produce a result equal to 0, add the original number and the additive inverse by simply reversing the sign of the integer. On the basis of negation of the original number, the characteristics of additive inverse are listed below. For instance, if x is the starting number, then -x is x's additive inverse.
A multiplicative inverse or reciprocal for a number x is a number that, when multiplied by x, produces the multiplicative identity, or 1. It is represented by 1/x or x/1. A fraction a/b has a multiplicative inverse of b/a. Divide 1 by the real number to obtain the multiplicative inverse of the number.
A function that "undoes" another function is called an inverse. In other words, if f(x) generates y, then y entered into the inverse of f creates x. An invertible function is one that has an inverse, and the inverse is indicated by the symbol [tex]f^{-1}[/tex].
Additive inverse of 2 is -2.
Multiplicative Inverse of 2 is 1/2.
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