Answer:
A. x = 5 or 7
B. these are zeros of the quadratic
Step-by-step explanation:
A) To factor this equation, we look for factors of +35 that have a total of -12. We know that ...
35 = (-1)(-35) = (-5)(-7)
The latter factor pair has a total of -12, so we can use those in the binomial factors:
(x -5)(x -7) = 0
The solutions are the values of x that make these factors be zero:
x = 5 or x = 7
__
B) The graph of the quadratic on the left of the equal sign is shown in the attachment. The solution values are the values of x where that graph crosses the x-axis, where the quadratic is equal to 0. This should come as no surprise, since we're solving the equation x^2 -12x +35 = 0.
Can a person live a million days?
Answer:no
Step-by-step explanation:that’s just NOT POSIBBLE
Answer:
Um no.
Step-by-step explanation:
They’d be over 2,000 years old
if you subtract 1/2 from a number and multiply the result by 1/2 you get 1/8. What is the no.
Step-by-step explanation:
1/6
1/6- 1/2 = 1/4
1/4*1/2= 1/8
a Carnival charges $5 to enter, and $2 per ride. If you paid a total of $23, how many rides did you go at the carnival
Answer : 8$
you have 1$ left
The graph represents the number of hours that Walter sleeps in terms of the number of days.
Graph shows a ray plotted in quadrant 1 of a coordinate plane with Days on X-axis, and Hours of Sleep on Y-axis. The ray begins at the origin and it extends upward, slanting right, through (2, 16) and (4, 24).
Which function represents Walter’s situation?
A.
y = 6x
B.
y = 6
C.
y = 8
D.
y = 8x
Answer:
I believe D is the answer to the question above.
Step-by-step explanation:
Answer: pretty sure its D
Step-by-step explanation:
Nikhil and Mae work at the same company. Nikhil has been at the company 4 times as long as Mae. Nikhil's time at the company is 8 more than 2 times Mae's time. The following system of equations models the scenario: x = 4y x = 8 + 2y How many years has each person been employed by the company? Nikhil has been with the company for 16 years, while Mae has been there for 4 years. Nikhil has been with the company for 24 years, while Mae has been there for 6 years. Nikhil has been with the company for 20 years, while Mae has been there for 5 years. Nikhil has been with the company for 12 years, while Mae has been there for 3 years
The number of years of employment is A. Nikhil has been with the company for 16 years, while Mae has been there for 4 years.
How to find the years of employment ?The system of equations given is:
x = 4y
x = 8 + 2y
You can solve the system by setting the two expressions for x equal to each other:
4y = 8 + 2y
2y = 8
2y / 2 = 8 / 2
y = 4
Substitute y = 4 into the first equation to solve for x:
x = 4 x 4
= 16
So, Mae (y) has been at the company for 4 years and Nikhil (x) has been at the company for 16 years.
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Andrew left his house at time zero and drove to the store, which is 10 blocks away, at a
speed of 5 blocks per minute. Then he stopped and went into the store for 2 minutes.
From there, he drove in the same direction at a speed of 5 blocks per minute until he
got to the bank, which is 10 blocks away from the store. He stopped at the bank for 3
minutes. Then he drove home at a speed of 4 blocks every minute. Make a graph of
showing the number of blocks away from home that Andrew is 2 minutes after he
leaves his house, until he gets back home.
the graph of Andrew's distance from home will look like this: Time (x-axis) 0 1 2 3 4 5 6 7 8 9 10 Distance (y-axis) 0 5 10 10 15 20 20 24 28 32 0
What is graph?Graph is a data structure which is used to represent relationships between objects or data points. It is composed of nodes and edges, where nodes are the objects and edges are the connections between the objects. Graphs are used to represent mathematical equations, networks, and data structures such as trees. They are also used to represent relationships between data points in large datasets. Graphs can be used to represent both directed and undirected relationships, and are commonly used in many fields including computer science, engineering, mathematics, and data science.
From the given information, we can create a graph that shows Andrew's distance from home as he drives to the store, to the bank, and back again. The x-axis will represent time (in minutes), and the y-axis will represent the number of blocks away from home.
At time zero, Andrew is at his home, so the graph will begin with a point at (0, 0). As he travels to the store, the graph will move up 5 blocks for every minute he drives. Therefore, after 2 minutes, he will be 10 blocks away from home, so the graph will be at (2, 10). After he stops at the store for 2 minutes, he will still be 10 blocks away from home, so the graph will stay at (2, 10).
When he leaves the store and drives to the bank, he will move 5 blocks each minute. After 5 minutes, he will be 25 blocks away from home, so the graph will be at (5, 25). After he stops at the bank for 3 minutes, he will still be 25 blocks away from home, so the graph will remain at (5, 25).
Finally, when he drives home, he will move 4 blocks for each minute he drives. After 5 more minutes, he will be back at his home, so the graph will be at (10, 0).
Therefore, the graph of Andrew's distance from home will look like this:
Time (x-axis) 0 1 2 3 4 5 6 7 8 9 10
Distance (y-axis) 0 5 10 10 15 20 20 24 28 32 0
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Triangle ABC with vertices at A(-1,-1), B(1,1), C(0,1) is dilated to create triangle A’B’C with vertices at A’(-3,-3), B’(3,3), C’(0,3) determine the scale factor used.
A. 1
B. 1/2
C. 3
D. 1/3
The scale factor used in the dilation is 3.
First, the distance between points A and B in triangle ABC is:
AB = √[(x₂ - x₁)² + (y₂ - y₁)²]
AB = √[(1 - (-1))² + (1 - (-1))²]
AB = √[(2)² + (2)²]
AB = √[4 + 4]
AB = √8
The distance between points A' and B' in triangle A'B'C' is:
A'B' = √[(x₂' - x₁')² + (y₂' - y₁')²]
A'B' = √[(3 - (-3))² + (3 - (-3))²]
A'B' = √[(6)² + (6)²]
A'B' = √[36 + 36]
A'B' = √72
The scale factor can be determined by dividing the corresponding side lengths:
Scale factor = A'B' / AB
Scale factor = √72 / √8
Scale factor = (√(72/8))
Scale factor = √9
Scale factor = 3
Therefore, the scale factor used in the dilation is 3.
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In a recent year, the annual salary of the Governor of New York was $179,000. During the same year, the annual salary of the governor of Tennessee was $94,000 less. Write and solve an equation to find the annual salary of the Governor of Tennessee (y) in that year
Answer:
179,000-94,000=y y=85,000
Maybell just purchased $2075 worth of jewelry. If she marks up her cost by 30% and sells all of the jewelry, what will be the total retail cost of all the jewelry?
Answer:
times 2075 by .30 and that's your answer
The total retail cost of all the jewelry is $2697.5
What is Percentage?To determine the quantity or percentage of something in terms of 100, use the percentage formula. Per cent simply means one in a hundred. Using the percentage formula, a number between 0 and 1 can be expressed. A number that is expressed as a fraction of 100 is what it is. It is mostly used to compare and determine ratios and is represented by the symbol %.
Given:
Maybell just purchased $2075 worth of jewelry.
Now, marks up her cost by 30% then
= 2075 x 30/100
= 622.5
Thus, the total retail cost of all the jewelry
= 2075+ 622.5
= $2697.5
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What is the measure of angle AOB?
Answer:
let angle AOB and angle COD be x
the it would be
x+x+110=180
2x+110=180
2x=180-110
2x=70
x=70/2
x=35 degree.
hope it will help you.
The diagram shows a triangle.
31° / 6x / x+16°
What is the value of x?
Step-by-step explanation:
31 + 6x + x + 16 = 180
7x + 47 = 180
7x = 180 - 47
x = 133/7
x = 19
At a dance supply store dance pants cost $30 each and leotards cost $18 each you have $175 to spend you are going to buy 3 pairs of pants what is the greatest number of leotards you can buy
answer
4 pairs
Step-by-step explanation:
total is $175
when you buy three pairs of pants you have wasted $90
175-90 equals 85
In which quadrants is cosine positive?
A. I and II
B. I and III
C. II and IV
D. I and IV
D. I and IV are the quadrants the cosine function is positive
To determine in which quadrants the cosine function is positive, we need to consider the signs of cosine in different quadrants of the Cartesian coordinate system.
The unit circle is a useful tool to understand the behavior of trigonometric functions. In the unit circle, the x-coordinate represents the cosine value, while the y-coordinate represents the sine value. The cosine function is positive in the quadrants where the x-coordinate is positive.
Quadrant I is the top-right quadrant, where both the x and y coordinates are positive. In this quadrant, cosine is positive because the x-coordinate is positive.
Quadrant II is the top-left quadrant, where the x-coordinate is negative, but the y-coordinate is positive. In this quadrant, cosine is negative because the x-coordinate is negative.
Quadrant III is the bottom-left quadrant, where both the x and y coordinates are negative. In this quadrant, cosine is negative because the x-coordinate is negative.
Quadrant IV is the bottom-right quadrant, where the x-coordinate is positive, but the y-coordinate is negative. In this quadrant, cosine is positive because the x-coordinate is positive.
Based on this analysis, we can conclude that cosine is positive in Quadrant I and Quadrant IV. Therefore, the correct answer is D. I and IV.
It's important to note that this applies to the standard unit circle and the principal values of cosine. When considering periodicity and multiple revolutions around the unit circle, the positive regions of cosine will repeat every 360 degrees or 2π radians.
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What is the effect on the graph of f(x) = 1 when it is transformed to
g(x) = 1 - 16??
The graph of f(x) is shifted 16 units down
How to determine the effect of the graph of f(x) on the function g(x)?The equation of the functions are given as
f(x) = 1/x
g(x) = 1/x - 16
The transformed function is the function f(x)
i.e. from function f(x) to g(x)
By comparing the functions' equation, we can see that the function f(x) is translated to get to function g(x)
In this case, the function is f(x) is translated down by 16 units to get to function g(x)
So, the graph of g(x) is gotten by translating the function f(x) = 1/x down by 16 units to get to function g(x)
Hence, the graph of f(x) is shifted 16 units down
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Suppose the prices of a certain model of new homes are normally distributed with a mean of 150,000. Use the 68-95-99.7 rule to find the percentage of buyers who paid between $149,000 and $151,000 if the standard deviation is $1000
The percentage of buyers is approximately 68.26% of buyers of new houses paid between \($149,000\) and \($151,000\) .
We are given that the prices of the new homes are normally distributed with a mean of \($150,000\) and a standard deviation of $1000.
Using the 68-95-99.7 rule, we know that: approximately 68% of the data falls within one standard deviation of the mean approximately 95% of the data falls within two standard deviations of the mean, approximately 99.7% of the data falls within three standard deviations of the mean.
In order to determine the proportion of customers who spent between $149,000 and , we must first determine the z-scores for these values:
z1 = (149,000 - 150,000) / 1000 = -1 z2 = (151,000 - 150,000) / 1000 = 1
Now, we can determine the proportion of data that falls between z1 and z2 using the z-table or a calculator. The region to the left of z1 is 0.1587, and the area to the left of z2 is 0.8413, according to the z-table. Thus, the region bounded by z1 and z2 is:
0.8413 - 0.1587 = 0.6826
We can get the percentage of consumers who spent between by multiplying this by 100% is \($149,000\) and \($151,000\):
0.6826 x 100% = 68.26%
Therefore, the standard deviation of customers who paid between is \($149,000\) and \($151,000\) for this model of new homes.
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What is the value of x in the equation 8+4 = 2(x-1)2
O 5
11
o
2
끌
o
13
2
O 7
Step-by-step explanation:
→ 8 + 4 = 2(x -1)
→ 12 = 2x - 2
→ 2x - 2 = 12
→ 2x = 12 + 2 = 14
→ x = 14/2 = 7
→ x = 7
hence, option D (7) is correct.
Hope this answer helps you dear ! take care
Please help i will give extra points
Answer:
20
Step-by-step explanation:
solve expression like in the image attached
7. What is the y-intercept for the equation 5x-2y = -4?
о
(0,-2)
(0,2)
(0, -1/3)
(0,4/5)
Answer:
(0, 2)
Step-by-step explanation:
By selling a radio for $8400 a dealer gained 12% .how much money did she gain
Answer:
Amount gained = $900
Step-by-step explanation:
Let the cost price be = x
Given selling price = 8400
And profit% = 12%
Profit = selling price - cost price
= 8400 - x
\(Profit \ \% = \frac{profit}{cost \ price} \times 100\\\\12\% = \frac{8400 - x}{x} \times 100\\\\\ 12 \times \frac{1}{100} = \frac{8400 - x}{x}\\\\\frac{12 \ x}{100} = 8400 - x \\\\\frac{12x}{100} + x = 8400\\\\12x + 100x = 8400 \times 100\\\\112x = 8400 \times 100\\\\x = \frac{8400 \times 100}{112} = 7500\)
Therefore , cost price of the radio $7500
The amount she gained = 8400 - 7500 = $ 900
1. Decode the following ASCII code: [2 marks] 1010011 1110100 1100101 1110110 1100101 0100000 1001010 1101111 1100010 1110011
Answer:
The decoded message is: "Steve Jobs".
Step-by-step explanation:
The given code is a sequence of binary digits, which represents the ASCII code of a message in binary form. To decode the message, we need to convert each 8-bit binary sequence into its corresponding ASCII character.
1010011 1110100 1100101 1110110 1100101 0100000 1001010 1101111 1100010 1110011
To decode this message, we split it into 8-bit sequences:
01010011 --> 'S'
01110100 --> 't'
01100101 --> 'e'
01110110 --> 'v'
01100101 --> 'e'
00100000 --> ' '
01001010 --> 'J'
01101111 --> 'o'
01100010 --> 'b'
01110011 --> 's'
Therefore, the decoded message is: "Steve Jobs".
Answer:
The decoded message is: "Steve Jobs"
Step-by-step explanation:
Converting the binary code to ASCII, we get:
01010011 = S
1110100 = t
1100101 = e
1110110 = v
1100101 = e
0100000 = (space)
1001010 = J
1101111 = o
1100010 = b
1110011 = s
So the decoded message is: "Steve Jobs"
----------------
Here are the steps to decode the given binary code:
Break the binary code into groups of 8 digits, as each group represents a single ASCII character.
Convert each group of 8 digits into its corresponding ASCII character using a binary-to-text converter or an ASCII code chart.
Write down the decoded ASCII characters in the order in which they appear in the original binary code.
Let's follow these steps to decode the given binary code:
The given binary code is: 1010011 1110100 1100101 1110110 1100101 0100000 1001010 1101111 1100010 1110011
We break this binary code into groups of 8 digits:
1010011 = 53
1110100 = 74
1100101 = 65
1110110 = 76
1100101 = 65
0100000 = 32
1001010 = 74
1101111 = 111
1100010 = 98
1110011 = 115
We convert each group of 8 digits into its corresponding ASCII character using an ASCII code chart:
53 = S
74 = t
65 = e
76 = v
65 = e
32 = (space)
74 = J
111 = o
98 = b
115 = s
We write down the decoded ASCII characters in the order in which they appear in the original binary code:
Decoded message: "Steve Jobs"
ASCII mean?
ASCII stands for American Standard Code for Information Interchange. It is a character encoding standard that assigns unique numeric codes to represent text characters. The ASCII standard includes codes for uppercase and lowercase letters, digits, punctuation marks, and various other symbols. Each ASCII character is represented by a unique 7-bit binary code, allowing computers and other devices to communicate and display text in a consistent manner. The ASCII standard was first published in 1963 and has since been expanded and updated to include additional characters and support for different languages.
Harshdeep was playing basketball with his friends with seconds left before the game ended he attempted a 3 point shot the following equation models the path of the basketball y=-x^2+4x+5 where x is the elapsed time in seconds.
Pls help, also do i find how long and how high the ball reached or how long it took the basketball to reach the ground. Please answer them as well. Thank you so much.
Answer:
y = 9 at x = 2 seconds
y = 0 at x = 5 seconds
Step-by-step explanation:
y=-x^2+4x+5
First find the zeros
0 =-x^2+4x+5
0 = -(x^2 -4x -5)
What 2 numbers multiply to -5 and add to -4
-5*1 = -5
-5+1 = -4
0 = -(x-5)(x+1)
x-5 =0 x+1 =0
x=5 x =-1
The vertex is 1/2 way between the two zeros
(5+-1) /2 = 4/2 =2
The vertex is at x=2
The maximum value of y is when x=2
y = -(2)^2 +4(2) +5
y = -4+8+5
y = 9
The ball will hit the ground at x = 5 seconds
Find the measurement of m
The measure of the inscribed angle G in the circle is 85 degree.
What is the measure of angle G?An inscribed angle is simply an angle with its vertex on the circle and whose sides are chords.
The relationhip between an an inscribed angle and intercepted arc is expressed as:
Inscribed angle = 1/2 × intercepted arc.
Since the circle equals 360 degrees, we can determine the intercepted arc DF.
Hence:
Arc DF = 360 - ( 70 + 120 )
Arc DF = 360 - 190
Arc DF = 170°
Now, plug the value into the above formula:
Inscribed angle = 1/2 × intercepted arc.
Inscribed angle G = 1/2 × 170°
Inscribed angle G = 85°
Therefore, angle G has a measure of 85 degree.
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Please help! V^2 = 25/81
Answer:
C and D
Step-by-step explanation:
khan acedemy
An equation is formed when two equal expressions. The solutions to the given equation are A, B, and C.
What is an equation?An equation is formed when two equal expressions are equated together with the help of an equal sign '='.
The solution of the given equation v²=25/81 can be found as shown below.
v²=25/81
Taking the square root of both sides of the equation,
√(v²) = √(25/81)
v = √(25/81)
v = √(5² / 9²)
v = ± 5/9
Hence, the solutions of the given equation are A, B, and C.
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PLZ HELP!! What is the difference between unit rates and rates are different.
What is the equation of a circle with center (-4,7) and a radius 6
Answer:
( x +4)^2 + ( y-7)^2 = 36
Step-by-step explanation:
We can write the equation of a circle as
( x-h)^2 + ( y-k)^2 = r^2
where ( h,k) is the center and r is the radius
( x- -4)^2 + ( y-7)^2 = 6^2
( x +4)^2 + ( y-7)^2 = 36
Answer:
(x+4)[superscript]2 + (y-7)[superscript]2 = 36
2x^2 + 7x + 6 = 0 double root real and rational roots real and irrational roots non-real roots
Answer:
-3/2 & -2
Step-by-step explanation:
2x²+7x+6=0
ax²+bx+c=0
where a=2
b=7
c=6
using factorisation method we say a×c then we find factors that when u manipulate it it equals coefficient b
so
2x²+7x+6=0
ac=2×6=12 factors of 12. (1, 12 )(2. ,6.) (3 4) (6 4)
factors are 3 and 4
2x² +4x+3x+6=0
2x(x+2)+3(x+2)=0
(2x+3)(x+2)=0
2x+3=0 & x+2=0
2x= -3 & x= -2
x= -3/2 and -2
What is the y-intercept of this quadratic function? f(x)= -x^2
Answer:
x-intercept(s):
( 0 , 0 )
y-intercept(s):
( 0 , 0 )
Step-by-step explanation:
Answer:
(0,0)
Step-by-step explanation:
This has no real starting point. The x-intercept as well as the y-intercept is (0,0).
Simplify the expression.
fraction with negative 4 times the quantity 2 minus the cube root of 8 times 6 end quantity as the numerator and 5 as the denominator
ten fourths
negative ten fourths
8
−8
The simplified form of the given expression as required in the task content is; 8.
What is the simplified form of the expression as described?It follows from the task content that the simplified form of the given expression; -4 ( 2 - (³√8 × 6) ) / 5 is to be determined.
Therefore, By solving the innermost parentheses; we have;
-4 ( 2 - (2 × 6) ) / 5
= -4 ( 2 - 12 ) / 5
= -4 ( -10 ) / 5
= 40 / 5
= 8.
Therefore, the simplified form of the expression is; 8.
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Which equation represents "the product of a number and 24 is 72"?
24p-72
24 = 72p
(24(72) =p
= 72
Answer:
24p = 72
Step-by-step explanation:
The product refers to multiplication.
Let the number be p.
The product of p and 24 is 72.
24 × p = 72
24p = 72
(a) What is the value of x? Show your work.
(b) What is the measure of angle C? Show your work.
In triangle ABC
a) The value of x = 29⁰
b) The angle c equal to 93⁰
What is a triangle?A triangle is a closed plane figure that is formed by connecting three line segments, also known as sides, at their endpoints. The three endpoints, or vertices, where the sides of the triangle meet are not collinear. Triangles are important in mathematics and geometry because they are the simplest polygon that can exist in two-dimensional space.
According to the given informationIn a triangle, the sum of all interior angles is always 180 degrees. Therefore, we can use this fact to find the value of x and angle c.
We know that:
angle a = 35⁰
angle b = 52⁰
angle c = 3(x+2)⁰
Using the fact that the sum of all interior angles in a triangle is 180 degrees, we can write:
angle a + angle b + angle c = 180
Substituting the values we know, we get:
35 + 52 + 3(x+2) = 180
Simplifying the equation, we get:
87 + 3x + 6 = 180
3x + 93 = 180
3x = 87
x = 29
Therefore, x = 29⁰
To find angle c, we can substitute the value of x into the equation we were given for angle c:
angle c = 3(x+2)
angle c = 3(29+2)
angle c = 3(31)
angle c = 93
Therefore, angle c is equal to 93⁰.
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