Answer:
B
Step-by-step explanation:
-2|x - 1| = -4
|x - 1| = 2
since we are dealing with a function that brings 2 values to the same result, the reverse function (needed to find the values of x that create the result y) has 2 branches :
(x - 1) = 2
and
(x - 1) = -2
x - 1 = 2
x = 3
x - 1 = -2
x = -1
therefore, B is the right answer.
In the equation below, variables X and Y represent two matrices. Which property of matrix addition is illustrated below?
X+Y=Y+X
O inverse property
O commutative property
O associative property
O identity property
Answer: the answer is b
Step-by-step explanation:
It takes 1.5 seconds for a grandfather clock's pendulum to swing from left (initial position) to right, covering a horizontal distance of 10 inches. which function models the horizontal displacement as a function of time in seconds?
The function that models the horizontal displacement as a function of time in seconds is y = 5cos(2π/3 x)
How to model the function?The given parameters are:
Time, t = 1.5 secondsHorizontal distance, h = 10 inchesStart by calculating the amplitude, A using:
A = h/2
This gives
A = 10/2
A = 5
Next, we calculate the period using:
B = π/t
This gives
B = π/1.5
Evaluate
B = 2π/3
The pendulum is at the middle.
So, it has no vertical displacement
The function is then represented as:
y = Acos(Bx)
This gives
y = 5cos(2π/3 x)
Hence, the function that models the horizontal displacement as a function of time in seconds is y = 5cos(2π/3 x)
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A shopkeeper sold a watch for rupees 992 allowing 20% discount find its marked price
Answer:
⇒ Let marked price be Rs.x.
⇒ Discount = 20% of marked price.
⇒ Discount=
100
20
×x=
100
20x
⇒ Selling price = Marked price - Discount.
⇒ 192=x−
100
20x
⇒ 192=
100
80x
⇒ x=
80
19200
=Rs.240
MARK IT AS BRAINLIESTAND FOLLOW ME.Answer:
S.p = 992
discount = 20%
marked price = S. p + discount
= 992 + 20/100*992
= 992 + 198.4
= 1190.4
The first term of an arithmetic sequence is 1 and the sum of the first four terms is 100. Find the first four terms
Answer:
1, 17, 33, 49
Step-by-step explanation:
given the first term is 1 then the next 3 terms are
1 + d, 1 + 2d, 1 + 3d ( d is the common difference )
the sum of the first 4 terms is 100 , then
1 + 1 + d + 1 + 2d + 1 + 3d = 100 , that is
4 + 6d = 100 ( subtract 4 from both sides )
6d = 96 ( divide both sides by 6 )
d = 16
1 + d = 1 + 16 = 17
1 + 2d = 1 + 2(16) = 1 + 32 = 33
1 + 3d = 1 + 3(16) = 1 + 48 = 49
the first 4 terms are
1, 17, 33, 49
Answer:
see the file attached!!!!
HELPPP PLEASE!!!!!!!!!!!
Answer:
C
Step-by-step explanation:
calculate the slope m using the slope formula
m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
with (x₁, y₁ ) = (0, 2) and (x₂, y₂ ) = (4, 0) ← 2 points on the line
m = [tex]\frac{0-2}{4-0}[/tex] = [tex]\frac{-2}{4}[/tex] = - [tex]\frac{1}{2}[/tex]
the y- intercept is the value of y where the line crosses the y- axis , then
y- intercept = 2
what is the factored form of x^3 - 729
Answer:
(x - 9)(x^2 + 18x + 81).
Step-by-step explanation:
Use the difference of cubes factorization, which claims that a^3 - b^3 = (a - b)(a^2 + ab + b^2)
x^3 - 729 = (x - 9)(x^2 + 18x + 81)
Answer:[tex](x-9) (x^{2} +9x + 81)[/tex]
Step-by-step explanation:
when using the rational root theorem, which of the following is a possible root of the polynomial function below? f(x)=2x^2-4x+9
a)4
b)3
c)2
d)5
The only option that meets the root theorem is option b.
which of the following is a possible root of the polynomial function below?
The polynomial function is:
[tex]f(x) = 2x^2 - 4x + 9[/tex]
The rational root theorem says that if a root is a rational number, then the leading coefficient must be divisible by the denominator of the rational number and the constant term must be divisible by the numerator.
In this case, the constant is 9, and the only option such that the constant is divisible by the numerator is option b: 3
Where 3 is a rational number:
3 = 3/1
The numerator is 3 (which divides 9) and the denominator is 1 (which divides the leading coefficient 9. (notice that it meets the theorem, but it is not an actual root).
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Given the figure below solve for X
Answer:
x = 37
Step-by-step explanation:
What is the length of the missing side of this triangle?
A
2
B
10
C
50
D
100
top side is 26 bottom side is 24 left side is whats missing
Answer:
B
Step-by-step explanation:
pythagorus theorem
a² + b² = c²
c² - b² = a²
26² - 24² = a²
676 - 576 = a²
a² = 100
a = 10
If R = {(x, y): y = x = 2, 4, 6}, find the range of R. , 4 , 6 } , find the range of R.
Which features are present in this polar graph?
A. No symmetry
B. Symmetry about the pole (0,0)
C. Symmetry about the line Theta=pi/2
D. Symmetry about the polar axis Theta=0
[tex]\quad \huge \quad \quad \boxed{ \tt \:Answer }[/tex]
[tex]\texttt {D. Symmetry about the polar axis Theta = 0} [/tex]
____________________________________
[tex] \large \tt Solution \: : [/tex]
The given graph is symmetric along Theta = 0
[ polar axis ]
Because it's a horizontal line that divides the features on the graph into two equal halves. and there's no other suitable symmetric relation.
Answered by : ❝ AǫᴜᴀWɪᴢ ❞
The function f(x)= 4x + 3 represents the length of a rectangle. The function g(x)=2x-5 represents the width of the rectangle. Use ( g(4) to determine the area of the rectangle.
57
19
16
3
Answer:
57 square units
Step-by-step explanation:
Area is = Length x Width
Given:
f(x)= 4x + 3 Length
g(x)=2x-5 Width
x = 4
============
Width
g(x)=2x-5
g(4)=2(4)-5
g(4)= 3
Length
f(x)= 4x + 3
f(4) = (4)(4) + 3
f(4) = 19
Area = (length)*(width)
Area = f(x)*g(x) for x = 4
Area = (f(4))*(g(4))
Area = (19)*(3)
Area = 57 square units
2ⁿ+2ⁿ+2ⁿ+2ⁿ=2¹⁶
value of n?
Answer:
[tex]n = 14[/tex]
Step-by-step explanation:
[tex]~~~~~~~2^n+2^n+2^n+2^n = 2^{16}\\\\\implies 4 \cdot 2^n = 2^{16}\\\\\implies 2^2 \cdot 2^n = 2^{16}\\\\\implies 2^{n+2} = 2^{16}~~~~~~~~~~~~~~~~~~~~~~~~~~~~;[a^m \cdot a^n = a^{m+n}]\\\\\implies n+ 2 = 16\\\\\implies n = 16-2 \\\\\implies n = 14[/tex]
Solve the following inequality |x| < 13
Answer:
x < 13 and x > -13
Step-by-step explanation:
Split the absolute value equation into 2 equations to account for the positive and negative answers possible with absolute values.
Write the positive value first by removing the absolute value symbol.
x < 13
Flip the inequality and make the 13 negative for the other side.
x > -13
Find the value of x
Find the value of y
Answer:
x = 9
y = 61
Step-by-step explanation:
let me know if you want an explanation!
Determine the correct equation of the following graph.
The equation of the given sine graph is gotten as; y = 4 sin [(0.4(x + 2.5)] - 1
How to find the equation of a sine graph?
We know that the general formula for equation of a sine graph is;
y = A sin [(B(x - D)] + C
where;
A is Amplitude
Period = 2π/B.
Phase Shift = -C/B.
Vertical Shift = D.
From the graph;
A = 4
B = 2π/5π = 2/5
C = -1
D = -5/2
Thus;
y = 4 sin [(0.4(x + 2.5)] - 1
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For what values of x does f(x) = 0?
O-4, 0, 2
O-2, 0, 4
O-5, 0, 17
O-17, 0,5
The values of x does f(x) = 0 will be -4,0,2.Option A is corect.
What is a graph?A diagram depicting the relationship between two or more variables, each measured along with one of a pair of axes at right angles.
The graph shows the cubic polynomial equation found as;
⇒(x+4)(x)(x-2)
The points f(x) = 0 is;
⇒(x+4)(x)(x-2)
⇒(-4+4)(0)(2-2)
⇒0
The values of x does f(x) = 0 will be -4,0,2.
Hence, option A is corect.
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What are the solutions to the quadratic equation below in factored form?
(2x - 1)(3x + 4) = 0
0x=
0x =
O
X =
2
16
-
x =
x =
29
3|4
x = = 1/1, X =
2
4/3
x = − 1/1
1
حرا من
Answer:
[tex]\cfrac{-4}{3} [/tex] and [tex]\cfrac{1}{2} [/tex].
Step-by-step explanation:
Equation:
[tex] \rm \: \: (2x - 1)(3x + 4) = 0[/tex]
Solution:
Set factors equal to zero,that is:
[tex](2x - 1) = 0 \: \: \: \: \: \: \: \: \: \: \: ...(1)[/tex]
[tex](3x + 4) = 0 \: \: \: \: \: \: \: \: \: \: \: \: ...(2)[/tex]
Solving for equation 1:
[tex]2x - 1 = 0[/tex][tex]2x = 0 + 1[/tex][tex]2x = 1[/tex][tex] \boxed{x = \cfrac{ 1}{2} }[/tex]Solving for equation 2:
[tex]3x + 4 = 0[/tex][tex]3x = 0 - 4[/tex][tex]3x = - 4[/tex][tex]\boxed{x = \cfrac{ - 4}{3} }[/tex]Hence,the solutions to the quadratic equation in factored form is [tex]\cfrac{-4}{3} [/tex] and [tex]\cfrac{1}{2} [/tex].
[tex]\rule{225pt}{2pt}[/tex]
Good luck on your assignment!
x=1/2 and x=-4/3 are the solutions of the equation (2x - 1)(3x + 4) = 0
What is quadratic equation?A quadratic equation is a second-order polynomial equation in a single variable x , ax²+bx+c=0. with a ≠ 0 .
The given equation is (2x - 1)(3x + 4) = 0
We have to find the solutions of the equation
As the equation is in factored form
We take each factor and solve for solution
2x-1=0
2x=1
Divide both sides by 2
x=1/2
Now 3x+4=0
3x=-4
Divide both sides by 3
x=-4/3
Hence, x=1/2 and x=-4/3 are the solutions of the equation (2x - 1)(3x + 4) = 0
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Unit 8:Right triangles & Trigonometry
Answer:
[tex]24\sqrt{5}[/tex]
Step-by-step explanation:
So for this problem you can use the law of sines which states
[tex]\frac{a}{sin A} = \frac{b}{sin B}\\[/tex]
Since the angle is a right triangle we can find the hypotenuse by plugging in the values.
[tex]\frac{4\sqrt{15}}{sin 60} = \frac{hypotenuse}{sin 90}\\\\\frac{4\sqrt{15}}{sin 60} = hypotenuse\\hypotenuse = \frac{4\sqrt{15}}{\frac{\sqrt{3}}{2}} = \frac{8\sqrt{15}}{\sqrt{3}}\\hypotenuse = \frac{8\sqrt{45}}{3} = \frac{24\sqrt{5}}{3}\\[/tex]
we now just multiply that side by 3since all the sides should be equal since all the angles are equal and we get the length of 24sqrt(5)
help me to find b please
Answer:
its right there.
Step-by-step explanation:
What’s the value of x?
Answer:
the two angles equal 180 degree
so 2x+2+5x+3=180
2x+5x+3+2=180
7x=180-5
7x/7=175/7
x=25
Step-by-step explanation:
hope I helped
please mark me as brainlyst
The quotient of 7 more than three times a number m and the number 27 less than n
An expression is defined as a set of numbers, variables, and mathematical operations. The given statement can be modeled as (3m+7)/27 < n.
What is an Expression?In mathematics, an expression is defined as a set of numbers, variables, and mathematical operations formed according to rules dependent on the context.
The given statement "The quotient of 7 more than three times a number m and the number 27 less than n" can be modeled as an algebraic expression as shown below.
(3m+7)/27 < n
Hence, the given statement can be modeled as (3m+7)/27 < n.
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Solve: |2x − 1| < 11.
STEP 1 : Rearrange this Absolute Value Inequality
Absolute value inequalitiy entered
|2x-1| < 11
STEP 2 : Clear the Absolute Value Bars
Clear the absolute-value bars by splitting the equation into its two cases, one for the Positive case and the other for the Negative case.
The Absolute Value term is |2x-1|
For the Negative case we'll use -(2x-1)
For the Positive case we'll use (2x-1)
STEP 3 : Solve the Negative Case
-(2x-1) < 11
Multiply
-2x+1 < 11
Rearrange and Add up
-2x < 10
Divide both sides by 2
-x < 5
Multiply both sides by (-1)
Remember to flip the inequality sign
x > -5
Which is the solution for the Negative Case
STEP 4 : Solve the Positive Case
(2x-1) < 11
Rearrange and Add up
2x < 12
Divide both sides by 2
x < 6
Which is the solution for the Positive Case
STEP 5 : Wrap up the solution
-5 < x < 6
Solution in Interval Notation
(-5,6) .
Which expression represents the product of negative three-fourths x and –8x?
Answer:
6x²
Step-by-step explanation:
[tex]-\frac{3}{4} x\times \left( -8x\right) =\frac{3}{4} x\times 8x[/tex]
[tex]=\frac{3}{4} \times 8\times x\times x[/tex]
[tex]=\frac{24}{4} \times x^{2}[/tex]
[tex]=6x^2[/tex]
please solve this question
Step-by-step explanation:
please give this answer brainlist answer
Rayonnia is buying cans of frozen lemonade concentrate to make punch for a holiday party with each can she can make 6  cups of lemonade write an equation which gives the number of cups of lemonade that can be made with any number of cans of frozen lemonade concentrate
The number of cups of lemonade, y that can be made with any number of cans of frozen lemonade concentrate, x is y=6x.
What is an equation?An equation is formed when two equal expressions are equated together with the help of an equal sign '='.
Given that with a single can of frozen lemonade concentrate 6 cups of lemonade can be made. Therefore, the number of cups that can be made with x number of cans is,
Number of cups that can be made, y = 6x
Hence, the number of cups of lemonade, y that can be made with any number of cans of frozen lemonade concentrate, x is y=6x.
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a. Write an expression for the value of the account at the end of three years in terms of the growth factor x
solve simulteneusly equation 6p-4r=4 and p-2r=5
Answer:
r = - 3.25, p = -1.5
Step-by-step explanation:
→ Rearrange p - 2r = 5
p = 5 + 2r
→ Substitute into 6p - 4r = 4
6 ( 5 + 2r ) - 4r = 4
→ Expand
30 + 12r - 4r = 4
→ Simplify and solve
r = - 3.25
→ Substitute into p - 2r = 5
p + 6.5 = 5
→ Minus 6.5 from both sides
p = -1.5
The price of a coat is $65. In sale, the price is reduced by 15%. What is the price of the coat in sale?
Find the distance between the pair of points given on the graph. Distance = √ (blank)
Answer:
√2.236
Step-by-step explanation:
(2,0) (5,-2). 2 - 5 = -3. 0 - -2 = 2. -3 squared = -9. 2 squared = 4. -9 + 4 = -5. Square root of -5 = 2.236, so the distance would be √2.236
