Algebraic expression of the product of a quarter of 3 more than a number a and two times a number b is equals to [tex](\frac{3}{4} +a)[/tex]×[tex](2b)[/tex]
What is an algebraic expression?" An algebraic expression is defined as the expression which is represents using variables, number and mathematical operation."
According to the question,
'a' represents a number
'b' represents another number
Algebraic expression as per the given condition we get,
The product of
Quarter of 3 more than a number a = [tex]\frac{3}{4} +a[/tex]
Two times a number b = 2b
Algebraic expression = [tex](\frac{3}{4} +a)[/tex]× [tex](2b)[/tex]
Hence, algebraic expression of the product of a quarter of 3 more than a number a and two times a number b is equals to [tex](\frac{3}{4} +a)[/tex]×[tex](2b)[/tex].
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how to solve for axis of symmetry for y=(x+2)(x-4)
Answer:
x = 1
Step-by-step explanation:
you can first find the two zeroes
that would be
x + 2 = 0
x - 4 = 0
x = {-2, 4}
then you average them
-2 + 4 = 2
2 / 2 = 1
the aos is 1
Answer:
x=1
Step-by-step explanation:
[tex]y=x^{2} -4x+2x-8[/tex]
[tex]y=x^{2} -2x-8[/tex] [tex](a=1, b=-2)[/tex]
[tex]x=-\frac{b}{2a} =\frac{-2}{2*1}[/tex]
[tex]x=1[/tex]
[tex]y=(x+2)(x-4), x=1[/tex]
[tex]y=(1+2)(1-4)[/tex]
[tex]y=-9[/tex]
Select the correct answer from each drop-down menu. Segment AB has seven equally spaced points on it. Starting at A and moving left to right, the points are C, D, E, F, G, H, and I. In the diagram, is divided into equal parts. The coordinates of point A are (-3, 9), and the coordinates of point B are (9, 5). The coordinates of point C are . The coordinates of point E are . The coordinates of point H are .
The coordinates of points C, E and G are respectively; C(-0.75, 8.5), E(3.75, 7.5) and H(7.5, 6)
How to find the Coordinates of a Line Segment?
We are told that the line AB is divided into 7 equally spaced points labelled as C, D, E, F, G, H and I.
Now, coordinates of A and B are; A(-3, 9) and B(9, 5)
Since they are equally spaced, then it means that point F is the midpoint of the line. If (x, y) is the coordinate of F, then;
x, y = (-3 + 9)/2, (9 + 5)/2
x, y = (6, 7)
H is the midpoint of FB. Thus;
H(x, y) = (6 + 9)/2, (5 + 7)/2
H(x, y) = (7.5, 6)
D is midpoint of A and F. Thus;
D(x, y) = (-3 + 6)/2, (9 + 7)/2
D(x, y) = (1.5, 8)
E is midpoint of F and D. Thus;
E(x, y) = (1.5 + 6)/2, (8 + 7)/2
E(x, y) = (3.75, 7.5)
C is midpoint of D and A. Thus;
C(x, y) = (-3 + 1.5)/2, (9 + 8)/2
C(x, y) = (-0.75, 8.5)
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Answer:
Select the correct answer from each drop-down menu.
Segment AB has seven equally spaced points on it. Starting at A and moving left to right, the points are C, D, E, F, G, H, and I.
In the diagram, is divided into equal parts. The coordinates of point A are (-3, 9), and the coordinates of point B are (9, 5).
The coordinates of point C are
.
The coordinates of point E are
.
The coordinates of point H are
.
cordinates for c are -1.5, 8.5 E is 1.5, 7.5 H is 6,6
Step-by-step explanation:
The sum of the digits of a three-digit number is 12. The tens digit, t, is 2 more than the hundreds digit, h. The units digit, u, is equal to the sum of the tens and hundreds digits. What is the number?
Answer:
246
Step-by-step explanation:
h = 2
t = 4
u = 6
t - h = 4 - 2 = 2
u = h + t = 2 + 4 = 6
Find the constant of proportionality for the table of values.
The constant of proportionality is k = ___
Answer:
K=3.5
Step-by-step explanation:
1. y/x=k
2. 7/2 or
[tex]7 \div 2 =[/tex]
( 3.5 )
3. 10.5/3 or divided by 3 is 3.5
4. Continue divided y/x and if you get same answer than your constant of proportionality is 3.5 only for this question.
Explain how the modern double-slit experiment showed different results than Young’s double-slit experiment.
Modern:
Where there are two open slits, the resulting pattern will simply be the sum of the two single-slit patterns (two vertical lines). But again and again, the experiment demonstrated that the coherent beams of light were interfering, creating a pattern of bright and dark bands on the screen.
Young's
In the end, the double slit experiment discovered that electrons, and all quantum particles, both exist as particles and probability waves. Quantum particles existing as probability waves means that we don't know for certain where these particles are, we can only know the probability of where they will be.
39°F = °C rounded to the nearest tenth of a degree
Answer:
3.9 degrees celsius
Step-by-step explanation:
(°F − 32) × 5/9 = °C
input 39
7 times 5/9 = c
35/9 = c
c = 3.9
Answer:
3.9 degrees Celsius.... it's 3.8888 when translated from Farenheit
Question 7(Multiple Choice Worth 1 points)
(01.03 MC)
What is the simplified expression for
4^4•4³
3
4^5
4² is simplified expression for [tex]\frac{4^{4} 4^{3} }{4^{5} }[/tex].
What is Indices?Index (indices) in Maths is the power or exponent which is raised to a number or a variable.
Here, Given expression = [tex]\frac{4^{4} 4^{3} }{4^{5} }[/tex]
[tex]\frac{4^{4} 4^{3} }{4^{5} }[/tex] = [tex]\frac{4^{4+3} }{4^{5} }[/tex]
= 4⁷/4⁵
= 4⁷⁻⁵
= 4²
Thus, 4² is simplified expression for [tex]\frac{4^{4} 4^{3} }{4^{5} }[/tex].
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Given f(x)=3x2+5 and g(x)=x−2.
What is (fg)(x)?
PURRRRRR:
yeat or cartiiii
ANSWER:
The product of the functions is 3x³ - 6x² + 5x - 10
Composite functions
Given the following functions expressed as
f(x) = 3x² + 5
g(x) = x - 2
In order to determine the value of (fg)x, we will take the product of the functions as shown
f(x)g(x) = 3x²+5)(x-2)
Expand to have;
f(x)g(x) = 3x³ - 6x² + 5x - 10
Hence the product of the functions is 3x³ - 6x² + 5x - 10
What is 20 divided by 1/2 inches
REPEATED SUBTRACTION TO DIVIDE
PLSSS TELL.
Answer:
40Step-by-step explanation:
What is 20 divided by 1/2 inches
20 : 1/2 =
20 * 2 =
40
Which of the following phrases are inequalities?Choose 2 answers: A. (8 + f)(8 - f) > 36
B.
C.
D.
E.
Given the graph of f(x), determine the range of f−1(x).
R
(2, infinity)
(-infinity, 2) U (2, infinity)
(-infinity, 3) U (3, infinity)
The range of a graph of a function is (-∞, 3) U (3, ∞) option (D) (-∞, 3) U (3, ∞) is correct.
What is a function?It is defined as a special type of relationship, and they have a predefined domain and range according to the function every value in the domain is related to exactly one value in the range.
It is given that:
The graph of a hyperbola function is given.
As we know the graph of an inverse of a function is reflections over the line y=x.
We get the same graph as given in the picture.
The range of a graph of a function:
Range: (-∞, 3) U (3, ∞)
Thus, the range of a graph of a function is (-∞, 3) U (3, ∞) option (D) (-∞, 3) U (3, ∞) is correct.
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Find the value of x.
25
X
20
X = [?]
Enter the number that belongs in
the green box.
Answer:
Step-by-step explanation:
x^2 + 20^2 = 25^2
x^2 + 400 = 625
625-400=225
sqrt(225) = 15
x = 15
30 POINTS ANSWER ASAP PLS
Complete the square to justify that Julia’s graph is correct.
6x2 + 12x + 6y2 – 48 ≤ 0
Answer:
1) x + 1
2) y - 0
3) 9
Step-by-step explanation:
Answer:
the first answer is (x+1) the second box (y-0) and the last box is 9
Step-by-step explanation:
When -3v = -18 is solved, the result is:
Answer:
When -3v = -18 is solved, the result is:
21v
The result of this mathematical sentence is v=6
First degree equationFirst degree equation is a mathematical sentence - having at least one unknown. Its representation is given by ax + b = 0. To calculate an equation, as it is in the expression in the statement, simply: isolate x and divide the second to the first member.
*Note: Equal signs, the result will be equated as positive.
-3v = -18
v = -18/-3
v = 6
Therefore, the correct value of this equation is v = 6.
Joe bought a $40 video game for only $28, what was the percent discount on
the item?
Answer:
30 % off
Step-by-step explanation:
12 dollars off of 40
40 (x) = 12
x = 12/40 = .3 or 30 %
Belle walks
7
10
mile each morning and
1
4
10
miles each evening.
How many miles does she walk in 5 days?
I'll mark brainliest
Answer:
I'm not really sure what you mean by the numbers because that's alot.
Step-by-step explanation:
But all you have to do is:
Plus the morning and evening amount and then times it by 5
Like this: y + z x 5
I hope this helped!
Sorry if it didnt...
But have a nice day
What is the midpoint of the segment shown below?
O A. (-9, 3)
O B. (-9, 3)
O c. (-9, ;)
D. (-9, 3)
Answer:
where the segment ??????!??!??!?
Step-by-step explanation:
give me the segment I may be able to answer
Triangle QRS is reflected across the x-axis. Then it is reflected across the y-axis. Finally, it is
translated according to the rule (x + 7, y + 3). What are the final coordinates of point R'?
Answer: (4,-4)
Step-by-step explanation:
Reflection across the x axis means [tex](x,y) \longrightarrow (x,-y)[/tex], so [tex](3,7) \longrightarrow (3,-7)[/tex].
Reflection across the y axis means [tex](x,y) \longrightarrow (-x,y)[/tex], so [tex](3,-7) \longrightarrow (-3,-7)[/tex].
Then, [tex](-3,-7) \longrightarrow R'\boxed{(4,-4)}[/tex]
Please help I will give the most points
Answer:
7
Step-by-step explanation:
The format for a coordinate pair is (x-coordinate, y-coordinate). This means the y-coordinate comes second, and since the 7 comes second here we can say that 7 is the y-coordinate.
That is the answer
- Kan Academy Advance
evaluate that equation 3√1÷125
Answer:
0.2683281573
Step-by-step explanation:
Mr Stephen saved 350 rupees per month how much money will he save in 3 years
Answer:
the answer to that question is 12,600 rupees
Which single transformation will have the same effect on the figure?
A. reflection over the x-axis
B. rotation of 270° about the point (0, 0)
C. translation described by (x, y) → (x-6, y)
D. translation described by (x, y) → (x, y-6)
Answer:
D. translation described by (x, y) → (x, y-6)
Step-by-step explanation:
The triangle stays in the same orientation just in a diffrent spot on the graph, that spot being 6 units down from where it starts.
Write down the letter of the shape that is congruent to the shaded shaPe
Answer:
E looks like it is most congruent
Step-by-step explanation:
Write the place value of the 1 in 742.513
Hi Student!
Looking at the problem statement, we are asked to find the place value of the 1 in the number 742.513. Let's go from right to left and name each of the place values. 7 is in the hundreds place, 4 is in the tens place, 2 is in the ones place, 5 is in the tenths place, 1 is in the hundredths place, 3 is in the thousandths place.
Therefore, our final answer for which place value the number 1 in 742.513 is, we come to the conclusion of the hundredths place.
Solve for x.
3x-3/4x+3
-
When angles form a linear pair, their sum is 180°.
8x 3 + 4x + 3 = 180
[?]+[] = 180
Hint: First we must combine like terms. Calculate the sum
of 8x and 4x and enter the value of the coefficient.
Enter
can anyone help me ? and show solving steps if possible
Answer:
Step-by-step explanation:
Remark
They are asking you to combine like terms. The total should be 180.
Givens
2 angles
8x - 3 4x + 3Total 180
Solution
8x - 3 + 4x + 3 = 180 The threes cancel. So add what's left. They are of opposite signs, so they cancel.
12x = 180 Divide both sides by 12
12x/12 = 180 /12
x = 15
In this question we are provided with the two angles that is 8x - 3 and 4x + 3 respectively. It is also given that the sum of this two angles is 180°.
To solve this question we will combine the like terms and there sum must be 180°.
[tex] \small\sf{ 8x - 3 + 4x + 3 = 180°} [/tex]
[tex] \bull \: \small\sf{ We \: will \: cancel \: 3 \: because \: they \: are \: of \: opposite \: signs }[/tex]
[tex] \small\rm 8x + 4x = 180 \degree[/tex]
[tex] \bull \: \small\sf{Addition} [/tex]
[tex] \small\rm{ 12x = 180 \degree}[/tex]
[tex] \bull \: \small\sf{ Divide\: both \: side \: by \: 12}[/tex]
[tex] \small\rm{ \dfrac{12x}{12} = \dfrac{180}{12} \: = 15 \degree}[/tex]
[tex] \small \underline{ \boxed{\sf{x = 15} }}[/tex]
[tex] \rule{71mm}{4pt}[/tex]
Question 6 (5 points)
Find the amplitude of the function y = 3/2 cos(3x) + 1.
A) 1
B) 3
C) 3/2
D) ¹/3
The amplitude of the function is 3/2 after comparing with the general equation option (C) is correct.
What is cos function?It is defined as the function which is in the form of cosine waves in nature, and it has a domain of all real numbers and lies between the [a, a] where is a amplitude of the function.
We have a cos function:
y = 3/2 cos(3x) + 1
We know,
f(x) = acos(bx - c) + d
The above function represents the cos function where:
a = amplitude
b = is the period of the function
c = phase shift
d = vertical shift
On comparing we get:
a = 3/2
Thus, the amplitude of the function is 3/2 after comparing with the general equation option (C) is correct.
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Find the area with the radius of 27
Answer: The answer is 2289.06
Step-by-step explanation: I assume it’s a circle as it has a radius so simply multiply 3.14 by the radius 27^2
For x/3 - 8 = 15, if x = 69
Answer:
x/3 - 8 =15
x/3 =15+8
69/3 =23
69 =23*3
69. =69
To receive monthly payments of $1500 for 20 years, how much would a person have to invest now in an annuity with an annual interest rate of 3.1% to achieve this goal? Round the answer to the nearest dollar.
Given the possibility of an investment with an annual interest rate of 3.1 %, the person must deposit $ 580645.16 to receive monthly payments of $ 1500 for 20 years.
How to determine the require investment to receive a desired monthly payment
According to this question, the person have decided to invest money to receive a monthly payment, meaning no savings and the adequacy of using the simple interest formula:
g = C · (r/100) (1)
Where:
C - Invested money, in monetary units.r - Monthly interest rate, in percentage.g - Monthly payment, in monetary units.If we know that g = 1500 and r = 3.1/12, then the invested money must be:
C = 100 · g/r
C = 100 · [1500/(3.1/12)]
C = 580645.16
Given the possibility of an investment with an annual interest rate of 3.1 %, the person must deposit $ 580645.16 to receive monthly payments of $ 1500 for 20 years.
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Given line PQ bisects line RS, LR=LS
Prove: Triangle PQR= Triangle PQS
Answer:
See Below
Step-by-step explanation:
Since PQ is perpendicular to RS, the angles PQR and PQS would be right angles, and right anglers are congruent, so <PQR ≅ <PQS. We are given that <R and <S are the same length, so they are congruent(<R ≅ <S). Since PQ is included in both triangles and it is the same length as itself(PQ ≅ PQ).
We have three congruent parts, two angles and one side. Therefore, using AAS, ΔPQR ≅ ΔPQS
Answer:
See below ~
Step-by-step explanation:
Given :
⇒ PQ ⊥ RS
⇒ ∠R = ∠S
===============================================================
Solving :
⇒ PQ = PQ (common side)
⇒ ∠R = ∠S (given)
⇒ ∠PQS = ∠PQR = 90° (⊥ bisector forms equal right angles)
⇒ ΔPQR ≅ ΔPQS (by ASA congruence)