Answer:
x = -1/3, 2/3
Step-by-step explanation:
Step 1: Isolate everything to one side
9x² - 3x - 2 = 0
Step 2: Factor
(3x + 1)(3x - 2) = 0
Step 3: Find roots
3x + 1 = 0
3x = -1
x = -1/3
3x - 2 = 0
3x = 2
x = 2/3
Help please ?
Solve 2x - 5 = 7
Answer:
x = 6
Step-by-step explanation:
2x - 5 = 7
Add 5 on both sides.
2x - 5 + 5 = 7 + 5
2x = 12
Divide both sides by 2.
2x/2 = 12/2
x = 6
Prompt
Describe how you would convince a friend that sin(x + y) does not equal sin x + sin y.
Answer:
Let's start first with sin(x+y) :
sin(x+y) sin(x)*cos(y)+cos(x)*sin(y)Now with sin(x)+sin(y) :
sin(x)+sin(y) 2*sin[(x+y)/2] * cos[(x-y)/2]We can see that both expressions are far away from being equal
We can prove the given expression, sin(x + y) ≠ sin x + sin y by taking the value of x and y as 90 respectively.
What is trigonometry?Trigonometry is a branch of mathematics that deals with the relationship between the sides and angles of a right-angle triangle. The trigonometric ratio is defined as the ratio of the pair of a right-angled triangle.
It is given that the expression is"sin(x + y) sin(x+y)
Suppose, x=0 and y=90
We have to prove the following expression,
sin(x + y) ≠ sin x + sin y
Left-hand side,
=sin(x + y)
=sin(90+90)
=sin 180
=0
Right-hand side,
=sin x + sin y
=sin90+sin90
=1+1
=2
As a result,
sin(x + y) ≠ sin x + sin y
Thus, we can prove the given expression, sin(x + y) ≠ sin x + sin y by taking the value of x and y as 90 respectively.
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Which set of points does NOT represent a function?
OA) (-4,-2), (-1,3), (0, 3), (5, -6)
OB) (1 -1), (3, -1), (5, -1), (-1, -1)
OC) (-2, 6), (5, 6), (-2,-6), (4,5)
OD) (7,4), (-4, 7), (-7,-4), (4, -7)
Answer:
OC is not a function
Step-by-step explanation:
It's not a function because the x cannot repeat.
Please answer it in two minutes now
Answer:
u = 14
t =8
Step-by-step explanation:
To make the triangles congruent
3u = u+28
Subtract u
3u-u = u+28-u
2u = 28
Divide by 2
2u/2 = 28/2
u = 14
12t = 16t -32
Subtract 16t
12t-16t = 16t-32-16t
-4t = -32
Divide by -4
-4t/-4 = -32/-4
t = 8
Answer:
t = 8
u = 14
Step-by-step explanation:
For the triangles to be congruent, the sides must be equal. Set each side on the first triangle equal to the corresponding side on the second triangle.
Solve.
u + 28 = 3u
28 = 2u
14 = u
12t = 16t -32
-4t = -32
t = 8
The two values for t and u are 8 and 14, respectively.
1. Garbage Production. Based on a sample of 62 households, the mean weight of discarded plastic is 1.93 pounds and the standard deviation is 1.08 pounds (data from the Garbage Project at the University of Arizona). Use a single value to estimate the mean weight of discarded plastic for all households. Also, find the 90% confidence interval.
Answer:
The answer is below
Step-by-step explanation:
Given that:
Mean (μ) = 1.93, standard deviation (σ) = 1.08 pounds, sample (n) = 62.
the mean weight of discarded plastic for all household is given by:
[tex]\mu_x=\mu = 1.93\ pounds[/tex]
The standard deviation of discarded plastic for all household is given by:
[tex]\sigma_x=\frac{\sigma}{\sqrt{n} } =\frac{1.08}{\sqrt{62} }=0.137\ pounds[/tex]
The confidence (c) = 90% = 0.9
α = 1 - c = 1 - 0.9 = 0.1
α/2= 0.1/2 = 0.05
The z score of 0.05 corresponds to the z score of 0.45 (0.5 - 0.05) which is 1.645. i.e. [tex]z_\frac{\alpha}{2}=z_{0.05}=1.645[/tex]
The margin of error (E) = [tex]z_{0.05}\frac{\sigma}{\sqrt{n} }=1.645*\frac{1.03}{\sqrt{62} }= 0.2256[/tex]
The confidence interval = [tex]\mu \pm E=1.93 \pm 0.2256=(1.7044,2.1556)[/tex]
We are 90% confidence that the value is between 1,7044 and 2.1556
Consider the expression 0.8x-3. Which of the following is an equivalent expression
Answer:
Option (C)
Step-by-step explanation:
Given question is incomplete; here is the complete question.
Consider the expression [tex]0.8^{x-3}[/tex] . Which of the following is an equivalent expression?
A- [tex]0.8^{\frac{x}{3}}[/tex]
B- [tex]0.8^{\frac{3}{x}}[/tex]
C- [tex]\frac{0.8^{x}}{0.8^3}[/tex]
D- [tex]\frac{0.8^{3}}{0.8^{x}}[/tex]
Given expression is [tex]0.8^{x-3}[/tex]
[tex]0.8^{x-3}=0.8^{x}\times 0.8^{-3}[/tex] [Since [tex]x^{b+c}=x^{b}\times x^{c}[/tex]]
[tex]=\frac{0.8x^{x}}{0.8^{3} }[/tex] [Since [tex]a\times b^{-1}=\frac{a}{b}[/tex]]
Therefore, Option C will be the equivalent expression.
Answer:
Consider the expression 0.8X-3. Which of the following is an equivalent expression?
A.
B.
C. <<<<correct
D.
Step-by-step explanation:
eDGE 2021
The projected worth (in millions of dollars) of a large company is modeled by the equation w = 266(1.05) t. The variable t represents the number of years since 2000. What is the projected annual percent of growth, and what should the company be worth in 2010?
Answer:
The yearly growth percentage is 5%
The worth of the company in 2010 is 433 million of dollars approximately
Step-by-step explanation:
The annual growth percentage;
We can write the equation of w as follows;
W = 266 (1 + 0.05)^t
Compare this with ;
W = I(1 + r)^t
Where W is the worth at a particular year
I is the initial worth at year 2000
r is the rate of increase per year
and t is the time since 2010
where it is the 0.05 that represents the yearly growth percentage (r)
0.05 as a percentage is 5/100 which is 5%
Now, we want to calculate the worth of the company in the year 2010
The first thing to do here is to calculate the value of t.
The value of t is the difference between the years 2000 and 2010 and that is 2010-2000 = 10 years
Now to find the worth at 2010, simply substitute that value of t = 10 in the equation
Thus;
W = 266(1.05)^10
W = 433.2859707228
Which is approximately 433
What is the volume of the sphere shown below with a radius of 3?
17.3-
A. 125 cu. units
B. 72s cu units
C. 365 cu. units
D. 108 cu. units
Answer:
volume of the sphere
=4/3π × r³
=4/3π × 3 × 3 × 3
=4/3π × 27
=36π ( c )
The value of volume of the sphere shown with a radius of 3 is,
⇒ 36π units³
What is Multiplication?To multiply means to add a number to itself a particular number of times. Multiplication can be viewed as a process of repeated addition.
Since, We know that;
volume of the sphere is,
V = 4/3π × r³
Here, We have;
r = 3
Hence, We get;
V = 4/3π × 3 × 3 × 3
= 4/3π × 27
=36π
Thus, The value of volume of the sphere shown with a radius of 3 is,
⇒ 36π units³
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Which graph represents this system? y = one-half x + 3. y = three-halves x minus 1 On a coordinate plane, a line goes through (0, 3) and (4, 5) and another goes through (0, negative 1) and (2, 2). On a coordinate plane, a line goes through (0, 3) and (1, negative 3) and another goes through (0, negative 1) and (3, 1). On a coordinate plane, a line goes through (negative 1, negative 2) and (1, 4) and another goes through (0, 1.5) and (1.5, 0). On a coordinate plane, a line goes through (negative 3, negative 3) and (0, 3) and another goes through (0, negative 1) and (3, 1).
Answer:
it is A or the first one
Step-by-step explanation:
The graph represents the system y = 1/2x + 3 and y = 3/2x - 1 is the lines and passes by (0, 3) and (4, 5), Option A.
Two equation of lines is given y = 1/2x + 3 and y = 3/2x - 1.
A graph to be identified showing the coordinate.
A line can be defined by a shortest distance between two points is called as a line.
Here, slope of equations of lines y = 1/2x + 3 and y = 3/2x - 1 are 1/2 and 3/2 and intercept is 3 and -1 now matching this with option we identified option A contains both the lines and passes by (0, 3) and (4, 5).
Thus, The graph represents the system y = 1/2x + 3 and y = 3/2x - 1 is the lines and passes by (0, 3) and (4, 5) ,Option A.
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Which composition of transformations will create a pair of similar, not congruent triangles?
a rotation, then a reflection
a translation, then a rotation
a reflection, then a translation
a rotation, then a dilation
Based on the information given, the composition of transformations that will bring about a pair of similar, not congruent triangles is D. a rotation, then a dilation.
What is a congruent triangle?A congruent triangle simply means when two triangles have exactly the same side and angles.
Therefore, the composition of transformations that will bring about a pair of similar, not congruent triangles is a rotation, then a dilation.
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if don't I will report you
A jar containing 17 coins (pennies, dimes and quarters) has a total value of $2.06. If you remove 5 pennies, 5 dimes and 5 quarters from the jar, which coins will remain in the jar?
Write 0.0000953 in scientific notation.
Answer: 9.53x10^-5
Step-by-step explanation:
Scientific notation means the coefficient must be between 0 and 10 and preferably without zeros because they are implied. move the decimal 5 times to the right to get 9.53 as your coeifficient and state the movement of the decimal
Answer:
Hello!
____________________-
0.000095 = 9.53 x 10^-5
Step-by-step explanation:
Hope this helped you!
which point is a solution to the inequality shown in this graph? A. (0,-5) B. (-3,0) C. (0,0) D. (5,-5)
Point (-3, 0) is required solution to the inequality. Hence option B. is correct.
What is inequality?Inequality can be define as the relation of equation contains the symbol of ( ≤, ≥, <, >) instead of equal sign in an equation.
As from graph,
The inequality can be define as -[tex]y > \frac{4}{3}x+4[/tex]
And the point(-3, 0) lies on the boundary line.
Which gives the solution to the given inequality.
Thus, point (-3, 0) is required solution to the inequality.
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Find the value of tanθ in the figure below
Answer:
tanΘ = [tex]\frac{3}{4}[/tex]
Step-by-step explanation:
tanΘ = [tex]\frac{opposite}{adjacent}[/tex] = [tex]\frac{6}{8}[/tex] = [tex]\frac{3}{4}[/tex]
The money m (in £) Xavier has to spend each week is his wage w (in £) subtract the tax t (in £) he pays on his income. Enter a formula for the money he can spend and enter how much he has to spend if he earns £120 a week and pays £41 in tax.
Answer: The answer is given below
Step-by-step explanation:
From the question, we are informed that the money m (in £) Xavier has to spend each week is his wage w (in £) subtract the tax t (in £) he pays on his income. Therefore, the formula for the money he can spend will be:
m = w - t
The amount of money that he has to spend if he earns £120 a week and pays £41 in tax will be:
m = w - t
m = £120 - £41
m = £79
PLEASE HELP ASAP THIS IS TIMED. If f(x) = –x2 + 3x + 5 and g(x) = x2 + 2x, which graph shows the graph of (f + g)(x)? On a coordinate plane, a straight line with a negative slope crosses the y-axis at (0, 5) and crosses the x-axis at (1, 0). On a coordinate plane, a parabola opens down. It goes through (negative 2, negative 4), has a vertex at (0, 5), and goes through (2, negative 2) On a coordinate plane, a parabola opens up. It goes through (negative 3, 7), has a vertex at (negative 1, 2), and goes through (0, 5). On a coordinate plane, a straight line with a positive slope crosses the x-axis at (negative 1, 0) and crosses the y-axis at (0, 5)
Answer:
4th Graph
Step-by-step explanation:
Step 1: Find (f + g)(x)
-x² + 3x + 5 + x² + 2x
3x + 5 + 2x
5x + 5
Step 2: Graph
Answer:
option d on edge trash
Step-by-step explanation:
Which of the following is the graph of y = negative 4 StartRoot x EndRoot?
Answer:
Use a graphing calculator.
Step-by-step explanation:
Graph:
f(x) = -4√x
━━━━━━━☆☆━━━━━━━
▹ Answer
f(x) = -4√x
▹ Step-by-Step Explanation
You can use a graphing calculator as the previous answer suggested as well. The image is attached below.
Hope this helps!
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Brainliest is greatly appreciated!
━━━━━━━☆☆━━━━━━━
Complete the table of values for y=x^2-2x+5 (see table in comments)
Step-by-step explanation:
Plug in each value of x into the equation and find y:
[tex]\left[\begin{array}{cc}x&y\\-2&(-2)^{2}-2(-2)+5=13\\-1&(-1)^{2}-2(-1)+5=8\\0&(0)^{2}-2(0)+5=5\\1&(1)^{2}-2(1)+5=4\\2&(2)^{2}-2(2)+5=5\\3&(3)^{2}-2(3)+5=8\end{array}\right][/tex]
A teacher covered the exterior of a rectangular prism-shaped box that measured 8 inches by 9 inches by 10 inches using one sheet of rectangular-shaped wrapping paper that measured 2 feet by 3 feet. There were no gaps or overlapping paper. How many square inches of wrapping paper were left over? Choose an answer
Answer:
380 square inches
Step-by-step explanation:
We are given the measurements of the Rectangular Prism as
8 inches by 9 inches by 10 inches
Where based on the order of arrangement:
8 inches = Length
9 inches= Width
10 inches = Height
Step 1
Find the amount of wrapping paper needed
Perimeter = 2L + 2W
= 2 × 8 + 2 ×9
= 16 + 18
= 34 inches
Base = L × W
= 8 × 9
= 72 inches
Surface Area of the Rectangular Prism =PH + 2B
Where P = Perimeter
H = Height
B = Base
= 34 × 10 + 2× 72
= 340 + 144
= 484 square inches
The area of the Rectangular prism = 484 square inches
Step 2
So we were told that she used wrapping paper the measured 2 feet by 3 feet.
We would convert the values in feet to inches
1 ft = 12 inches
Length = 2 ft = 2 × 12 = 24 inches
Width = 3 ft = 3 × 12 = 36 inches
We find the area of the wrapping paper
Length × Width = 24inches × 36 inches = 864 square inches.
Step 3
The amount of square inches of wrapping paper left over is calculated as:
Area of the wrapping paper used - Area of the Rectangular prism
= 864 square inches - 484 square inches
= 380 square inches.
Therefore, the amount of square inches of wrapping paper left over is 380 square inches.
Which ordered pair is in the solution of the system of inequalities shown in the accompanying graph
Answer:
(3, 2).
Step-by-step explanation:
It must be in the area containing the squares
Infinite solutions No Solution (0,3)
Answer:
1. no solution
2. (0,3)
3. IMS (Infinitely Many Solutions)
Step-by-step explanation:
First graph has parallel lines, which means the lines will never intersect, therefore it will be impossible to get a solution.
Second Graph has 2 lines that intersect at points (0,3) which will give only one solution.
Third Graph has 1 line that overlaps at every point, which means that any point which is on the that line is a solution.
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Infinite solutions No Solution (0,3)
Factor the polynomial completely using the X method. x2 + 13x – 48 An x-method chart shows the product a c at the top of x and b at the bottom of x. Above the chart is the expression a x squared + 13 x minus 48. What is the four-term polynomial and factored form of the polynomial? x2 + 7x + 6x – 48 = (x + 7)(x + 6) x2 – 12x + 4x – 48 = (x – 12)(x + 4) x2 + 16x – 3x – 48 = (x + 16)(x – 3) x2 – 16x + 3x – 48 = (x – 16)(x + 3)
Answer:
Step-by-step explanation:
The constant term of x^2 + 13x – 48 factors into either (3)(-16) or (-3)(16).
Note how 16 - 3 = 13, which is the coefficient of the middle term. Thus, the factors are
(x + 16)(x - 3) which is equivalent to x^2 + 16x - 3x - 48, or x^2 + 13x - 48.
The factored form of the given polynomial is (x - 3)(x + 6)
Calculation of the factor:Since the equation is [tex]x^2 + 13x - 48[/tex]
Now
The four-term polynomial is
[tex]x^2 + 16x - 3x - 48[/tex]
x(x + 16) - 3(x + 16)
(x - 3)(x + 6)
Here polynomial represents the expression that includes the additions, subtraction, etc
Therefore, The factored form of the given polynomial is (x - 3)(x + 6)
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lyle has 1/6 of a pound of sunflower seeds. he wants to divide them evenly into 5 snack containers. how many pounds of sunflower seeds will be in each container
Answer:
0.03333333333333
Step-by-step explanation:
1/6 = 0.1666666666666
0.16666666666666 / 5 = 0.03333333333
Can someone please help me I really need help please help me thank you
Answer:
71
Step-by-step explanation:
Because this triangle is an isosceles, the base angles are equal
the top angle is 38 and triangles add up to 180
so 180-38=142
then divide that by 2
which is 71 so x=71
A bus needs to cover a distance of 240 km in less than 5 hours. Which of the following inequality represents the speed (s) of the bus?.
Answer:
Step-by-step explanation:
Let s represent the speed of the bus.
From the information given, the bus needs to cover a distance of 240 km in less than 5 hours. The formula for calculating the speed of the bus, s is expressed as
Speed, s = distance covered by the bus/ time taken to cover the distance
Therefore,
Speed, s = 240/5 = 48 km/hr
A higher speed would ensure the bus covers the distance in less than 5 hours. Therefore, the inequality that represents the speed (s) of the bus would be
s ≥ 48
ASAP What is a downside of receiving a tax refund?
Answer:
You've given Uncle Sam an interest-free loan of your money for a full year. ... If you had received your expected refund incrementally as part of your pay, you could have used it to pay bills, start an emergency fund or save for something special.You are at the mercy of the IRS, which already is at the mercy of a frequently late-acting Congress when it comes to tax laws. If Congress and the IRS are slow, then so is your receipt of your refund.
ASAP!! Please help me. I will not accept nonsense answers, but will mark as BRAINLIEST if you answer is correctly with solutions.
Answer:
Range: y ≥ -1
Step-by-step explanation:
The are no limits on the domain because x can be any value
( x-3) ^2 must be greater than or equal to zero since it is squared
0 -1 = -1
The smallest value the range can be is -1
y ≥ -1
Tico’s Taco Truck is trying to determine the best price at which to sell tacos, the only item on the menu, to maximize profits. The taco truck’s owner decides to adjust the price per taco and record data on the number of tacos sold each day with each new price. When the taco truck charges $4 for a taco, it sells an average of 60 tacos in one day. With every $1 increase in the price of a taco, the number of tacos sold per day decreases by 7. The owner can calculate the daily revenue using the polynomial expression -7x2 + 32x + 240, where x is the number of $1 increases in the taco price. In this activity, you’ll interpret and manipulate this expression and the scenario it represents. Part D: What are some advantages of writing the polynomial expression -7x2 + 32x + 240 in factored form when interpreting this situation?
Answer:
The constant term is 240. It represents the initial daily revenue.
Step-by-step explanation:
It is given that Tico's Taco Truck is trying to determine the best price at which to sell tacos, the only item on the menu, to maximize profits.
The owner can calculate the daily revenue using the polynomial expression
where x is the number of $1 increases in the taco price.
Constant term does not contain any variable.
In the given expression 240 is free from variable x. So, the constant term is 240.
The value of expression is 240 for x=0. Since x is the number of $1 increases in the taco price, therefore 240 is the daily revenue when the taco price is not increased or the taco price increased by 0.
Therefore the constant term is 240 and it represents the initial daily revenue.
the picture is the qestion
Answer:
The answer is option D.
Step-by-step explanation:
Because -3/-5 = 3/5 since the negative sign cancel each other.
Hope this helps you
Answer:
The fourth option
Step-by-step explanation:
-3/5 is the same as - 3/5 or 3/-5 (it doesn't matter where the negative sign goes-on the side, numerator, or denominator)
-(-3/-5) is basically negative of -3/-5
-3/-5 is the not the same as -3/5