Answer:
x= -3
x= 2.
Step-by-step explanation:
x^2 + x - 6 = 0
(x+3)(x-2)=0
x= -3
x= 2
x={2, -3}.
cesar gasto el 15% de sus ahorros en un celular por lo que ahora le queda 2.125 dolares ahorrados ¿cuanto dinero tenia inicialmente cesar?
Cesar initially had $2,500 in savings.
Let's solve the problem step by step.
Let's assume that the initial amount of money Cesar had is represented by "x" dollars.
According to the problem, Cesar spent 15% of his savings on a cellphone, which means he has 85% of his initial savings left. We can represent this mathematically as:
0.85x = 2,125
To find the initial amount of money Cesar had, we need to solve for x. We can do this by dividing both sides of the equation by 0.85:
x = 2,125 / 0.85
Calculating this value:
x = 2,500
Cesar initially had $2,500 in savings.
Please note that the calculations are done assuming a straightforward interpretation of the problem. If there are additional factors or context that could affect the interpretation, it's important to consider them in order to arrive at an accurate answer.
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#14
Graph the quadrilateral with the given vertices in the coordinate plane.
A(0, 1), B(4, 4), C(12, 4), D(8, 1)
Answer:
Because BC=AD=8, segment BC ≅ Segment AD. Because these are horizontal line segments, their slopes are 0 and they are parallel.
Segment BC and AD are opposite sides that are both congruent and parallel. So ABCD is a parallelogram by the opposite sides congruent theorem.
Step-by-step explanation:
So if you count the boxes of segment BC you will get 8, same for if you count the boxes that make up segment AD. If they are the same distance they are congruent. You can see how BC and AD are both horizontal lines. To find the slope you need to do the slope formula for BC and AD, which is y2-y1/x2-x1 in our case BC= 4-4/12-4 which equals 0/8. If you do the same formula for AD, you will get 0/8 making them congruent and the slope 0. If the opposite sides are congruent and parallel it has to be a parallelogram by the opposites and congruent theorem.
I need help I needa pass this test all 9 questions
Answer: The answer is b
Step-by-step explanation: Check the image! It matches. Hope this helps!
HPC Education
Year 5* 6 Problem Solving Questions
10. Megan and Olivia had some money. They made a donation of $100 together. Megan donated of
her money. After donating $24, Olivia found that she had $32 more than Megan. What was the
sum of money both of them had at first
9
It costs only $0.25 per hour to play at Cybernet Cafe, but
there is a one-time membership fee of $25.00. Which
equation could you use to find the total cost D, in dollars,
of playing for n number of hours?
A D = 25n + 2500
BD = 0.25n + 25
с
D
n = + 25
0.25
On = 0.250D + 25)
two poles are 80 meters and 60 meters tall. Their bases are located at a distance of 90 meters. A grounding wire needs to connect the top of the poles with each other and the ground. At what point should we connect the wire with the ground if we wanted to use the least amount of wire?
It needs to do that route I guess. But I don't understand the last question well.
Consider the quadratic equation x2 + 2x - 35 = 0. Solve by factoring and using the zero-product property.
What are solutions to quadratic equations called? Show your work.
Answer:
x = -7
x = 5
Step-by-step explanation:
The standard form of quadratic equations is
Ax^2 + Bx + C = 0
The factors need to multiply together to be C and add together to be B.
The two numbers that will multiply together to be -35 and add together to be 2 are -5 & 7.
The factor pairs are (x+7)(x-5). Zero product property means we set each of those factor pairs = 0 and solve.
x + 7 = 0
-7 -7 Subtract 7 from each side to solve
x = -7
x - 5 = 0
+5 +5 Add 5 to each side to solve
x = 5
To solve the equation, factor x²+2x−35 use the formula x² +(a + b) x + ab = (x + a)(x + b). To find a and b, set up a system to be solved.
a + b = 2
ab = −35
Since ab is negative, a and b have opposite signs. Since a+b is positive, the positive number has a greater absolute value than the negative. Show all pairs of integers whose product is −35.
−1.35−5.7Calculate the sum of each pair.
−1 + 35 = 34−5 + 7 = 2The solution is the pair that gives sum 2.
a = −5b = 7Rewrite the factored expression (x + a)(x + b) with the values obtained.
(x − 5)(x + 7)To find solutions to equations, solve x−5=0 and x+7=0.
x = 5x = −7What are the solutions of quadratic equations called?The "solutions" of a Quadratic Equation are the values where the equation equals zero. They are also called "roots", or even "zeros".
ヘ( ^o^)ノ\(^_^ )If you want to learn more about mathematics, I share this link to complement your learning:
https://brainly.com/question/16413695whats the equation of a line that passes through point (-1,3) with slope of 1
The equation of the line that passes through the point (-1, 3) with a slope of 1 is y = x + 4.
To find the equation of a line that passes through the point (-1, 3) with a slope of 1, we can use the point-slope form of a linear equation.
The point-slope form of a linear equation is given by:
y - y1 = m(x - x1)
where (x1, y1) represents the coordinates of a point on the line, and m represents the slope of the line.
Using the given point (-1, 3) and slope 1, we substitute these values into the point-slope form equation:
y - 3 = 1(x - (-1))
Simplifying:
y - 3 = x + 1
Now, we can rewrite the equation in the standard form:
y = x + 4
Therefore, the equation of the line that passes through the point (-1, 3) with a slope of 1 is y = x + 4.
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FIND THE STANDARD DIVATION OF THE FOLLWING SET OF DATA: 10,26,84,48,250,56
The required table:
xi (Xi -x)²
10 4761
26 2809
84 25
48 961
250 29241
56 529
Total 474 38326
x = \(\frac{1}{n}\) Σ xi
= \(\frac{1}{6}\) * 474
= 79
standard deviation:
S = \(\sqrt{\frac{E(xi - x)^{2} }{n} }\)
= \(\sqrt{\frac{38326}{6} }\)
= 79.92288 .
Standard deviation is a measure of how far the data are from the mean. A low standard deviation means that the data are clustered around the mean and a high standard deviation means that the data are more scattered. A data standard is a type of standard that is an agreed approach to enable consistent measurement qualification, or exchange of objects processes, or units of information. For example, the metric system of measurement is standard.
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The following exchange rate is given: £1 = 1.33 dollars. Convert £8 into dollars.
If £1 = $1.33, £8 is $10.64.
What is a unit rate?It is the quantity of an amount of something at a rate of one of another quantity.
In 2 hours, a man can walk for 6 miles
In 1 hour, a man will walk for 3 miles.
We have,
£1 = $1.33
Multiply 8 on both sides.
£8 = 8 x $1.33
£8 = $10.64
Thus,
£8 is $10.64
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provide an interpretation for V^-1(80)=
9514 1404 393
Answer:
the input that will cause function V to have an output of 80
Step-by-step explanation:
The interpretation of a function V(x) is ...
the output of function V that corresponds to the input x
__
The corresponding interpretation of the inverse function V^-1(x) is ...
the input to function V that will cause its output to be x
__
Then the meaning of V^-1(80) is ...
the input to function V that will cause its output to be 80
Is the answers correct at the bottom
Which term can be added to the list so that the greatest common factor of the three terms is 12h3?
36h3, 12h6, __________
The term that can be added to the list so that the greatest common factor of the three terms 12h3 36h3, 12h6, is 48h5
How can the term be known?A group of numbers' greatest common factor (GCF) is the biggest factor that all the numbers have in common. For instance, 12, 20, and 24 all share two characteristics.
The term that can fit in to the list so the GCF is 12h3 would be 48h5, this is so because 48 is first divisible by 12 without any fraction, and we can remove upon dividing 3 h's from this term as it contains a total of 5 h's.
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4. Which of the following angles is vertical to angle /DEB?
A
C
109°
E
D
B
Answer:
A
Step-by-step explanation:
b) 8xy +4y² factorise
Answer:
The answer is: 4y(2x+y)
Step-by-step explanation:
(9.6 × 109) – (8.9 × 109) = Question 3 options: A) 1.85 × 108 B) 7.0 × 108 C) 0.7 × 108 D) 18.5 × 1018
Answer:
Neither
Step-by-step explanation:
I did all of the steps and the closest answer was C) the actual answer is 76.3, but C was the closest it was 75.6
How do Dr. Livesey and Mr. Trelawney react to the map in chapters 4-6 of Treasure Island?
A. They are giddy and filled with delight.
B. They are confused and filled with wonder.
C. They are unimpressed and filled with doubt that it is real.
D. They are frightened and filled with terror.
In sections 4-6 of Treasure Island, C. describes how Dr. Livesey and Mr. Trelawney respond to the chart. People are disappointed and overwhelmed with skepticism about its authenticity.
In the novel Treasure Island, who is Dr. Livesey?Throughout Treasure Island, Dr. Livesey, a physician and judge, acts as the narrative's only sane figure. He is bold and straightforward enough already to start standing up to his pals and also the most infamous thieves.
here, we have,
What else does Dr. Livesey look like in Treasure Island?
Dr. Livesey describes oneself via deeds rather than being characterized by Stevenson. He possesses the traits that outweigh the cleverness and cruelty of his fearsome foe Silver: intelligence, bravery, and coolness.
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f ( x ) = { 2 x + 4 , x ≤ − 2 4 + 1 2 x , − 2 < x < 2 − x + 5 , 2 ≤ x Which of the following is the graph of the function shown above? A line starts at a closed circle (minus 2, 0) and passes through (minus 4, minus 4). The second line starts at a closed circle (2, minus 3) and passes through (5, 0). The third line with 2 open circles at (2, 6) and (minus 2, 3) W. A line starts at a closed circle (minus 2, 0) and passes through (minus 4, minus 4). The second line starts at a closed circle (2, minus 3) and passes through (5, 0). The third line with 2 open circles at (2, 3) and (minus 2, 5) X. A line starts at a closed circle (minus 2, 0) and passes through (minus 4, minus 4). The second line starts at a closed circle (2, 3) and passes through (5, 0). The third line with 2 open circles at (minus 2, 3) and (2, 5) Y. A line starts at a closed circle (minus 2, 0) and passes through (minus 4, minus 4). The second line starts at an open circle (2, 3) and passes through (5, 0). The third line with an open circle at (minus 2, 3) and a closed circle at (2, 5) Z. A. W B. X C. Y D. Z
Answer:
The correct graph of the given function is option C. Y.
Step-by-step explanation:
The correct graph is option B (X) because it satisfies all the conditions specified in the function definition.
The first segment of the graph starts at x=-2 and goes to the left, passing through the point (-4,-4) and representing the equation 2x+4. The second segment of the graph starts at x=-2 and goes to the right, passing through the point (2,3) and representing the equation 4+1/2x. The third segment of the graph starts at x=2 and goes to the right, passing through the point (5,0) and representing the equation -x+5.
Option A (W) has a line that passes through the point (2,6), which is not on the graph of the function, and option C (Y) has a line that passes through the point (2,5), which is also not on the graph of the function. Option D (Z) has an open circle at (-2,3), which should be a closed circle according to the function definition, and a closed circle at (2,5), which should be an open circle according to the function definition.
i need help finding the answer for this question . asap . 15 points
Answer:
-2ab^5 (1+2a^2b)
Step-by-step explanation:
The weights of bags of chips are normally distributed with a mean of 180 grams and a standard deviation of 4 grams.
What percent of the bags of chips weigh less than 176 grams?
2.5%
16%
32%
34%
The percent of the bags of chips weigh less than 176 grams is b 16%
What percent of the bags of chips weigh less than 176 grams?From the question, we have the following parameters that can be used in our computation:
Mean = 180
Standard deviation = 4
Bags of chips weigh less than 176 grams
This means that
x = 176
So, the z-score is
z = (176 - 180)/4
Evaluate
z = -1
The percent of the bags of chips weigh less than 176 grams is represented as
P = P(z < -1)
Using a graphing calculator, we have
Percentage = 0.15866
So, we have
Percentage = 16%
Hence , the percentage is 16%
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A model rocket is launched with an initial upward velocity of 30 m/s. The rockets height (in meters) after t seconds is given by the following. h=30t-5t2. Find all values of t for which the rockets height is 10 meters
9514 1404 393
Answer:
t = 3-√7 and 3+√7 seconds after launch
Step-by-step explanation:
You want to find the values of t that make h=10.
10 = 30t -5t^2
t^2 -6t = -2 . . . . . divide by -5
t^2 -6t +9 = 7 . . . add 9 to complete the square
(t -3)^2 = 7 . . . . . write as a square
t -3 = ±√7 . . . . . . take the square root
t = 3 ±√7 . . . . . . values of t for which height is 10 meters
__
These values are about 0.354 seconds, and 5.646 seconds.
. Write the equation of a line with a slope of 4 passing through the point (3, 1). Write the
equation in slope-intercept form.
Answer:
y = 4x - 11
Step-by-step explanation:
The general equation of the slope-intercept form of a line is given by:
y = mx + b, where
(x, y) are any point on the line,m is the slope,and b is the y-intercept.We can find b, the y-intercept of the line, by plugging in 4 for m and (3, 1) for (x, y) in the slope-intercept form:
1 = 4(3) + b
1 = 12 + b
-11 = b
Thus, the y-intercept is -11.
Thus, the equation of the line with a slope of 4 passing through the point (3, 1) in slope-intercept form is y = 4x - 11
The answer is:
y = 4x - 11Work/explanation:
First, we will write the equation in point slope:
\(\sf{y-y_1=m(x-x_1)}\)
where m = slope;
(x₁,y₁) is a point on the line.
Plug in the data:
\(\sf{y-1=4(x-3)}\)
Simplify
\(\sf{y-1=4x-12}\)
Add 1 on each side
\(\sf{y=4x-12+1}\)
\(\sf{y=4x-11}\)
Hence, the equation is y = 4x - 11.Question 2(Multiple Choice Worth 2 points)
(Slope-Intercept Form MC)
The table shown represents a linear relationship.
x 0 1 3 4
y −8 −6 −2 0
Based on the table, what is the equation of the linear relationship in slope-intercept form?
y = 2x − 8
y = 2x + 8
y = −2x + 4
y = −2x − 4
The equation of the linear relationship in slope-intercept form is y = 2x - 8. Option A is the correct answer.
To determine the equation of the linear relationship in slope-intercept form based on the table, we need to find the slope and y-intercept.
By observing the table, we can calculate the slope by selecting any two points. Let's choose the points (0, -8) and (4, 0).
Slope (m) = (change in y) / (change in x)
= (0 - (-8)) / (4 - 0)
= 8 / 4
= 2
Now that we have the slope, we can find the y-intercept by substituting the values of one point and the slope into the equation y = mx + b and solving for b.
Using the point (0, -8):
-8 = 2(0) + b
b = -8
Therefore, the equation of the linear relationship in slope-intercept form is: y = 2x - 8. Option A is the correct answer.
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A store opens at 8am. From 8 until 10am customers arrive at a Poisson rate of four an hour. Between 10am and 12pm they arrive at a Poisson rate of eight an hour. From 12pm and 2pm the arrival rate increases steadily from eight per hour at 12pm to ten per hour at 2pm; and from 2 to 5pm the arrival rate drops steadily from ten per hour at 2pm to four per hour at 5pm. Determine the probability distribution of the number of customers that enter the store on a given day.
The probability distribution of the number of customers that enter the store on a given day is described as follows:
Poisson with a mean of 70 customers.
What is the Poisson distribution?In a Poisson distribution, the mass function probability that X represents the number of successes of a random variable is given by the equation presented as follows:
\(P(X = x) = \frac{e^{-\mu}\mu^{x}}{(x)!}\)
The parameters are:
x is the number of successes that we want to find the probability of.e = 2.71828 is the Euler number.\(\mu\) is the mean in the given interval or range of values of the input parameter.A combination of Poisson variables is a Poisson variable, hence the daily distribution is a Poisson variable with mean given by the sum of these following observations:
8 customers from 8 am to 10 am.16 customers from 10 am to 12 pm.18 customers from 12 pm to 2 pm. (the average over the interval is of 9 an hour).28 customers from 2 pm to 5 pm.Hence the mean is of:
8 + 16 + 18 + 28 = 70 customers.
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The sun of the 2 digits of a certain number is 5. If 9 is added to the original number, the new number will have the original digits reversed. Find the number
Answer:
23
Step-by-step explanation:
Assume the digits are
1, 4 or 2,3
The number can be 14, 41, 23, 32
Test each one:
14 + 9 = 23 does not work
41 + 9 = 50 does not work
23 + 9 = 32 works
32 + 9 = 41 does not work
Please help 13. Phil works at a department store and gets an employee discount. The price he pays can be modeled by the function d(c) = c - 0.08c , where is the original price of the item. Find d(25) and describe what this means in context.
With the original price at 25 units , he paid 23 units and d(25) means the price he paid when the original price is 25 units.
How to solve a function?Phil works at a department store and gets an employee discount. The price he pays can be modelled by the function d(c) = c - 0.08c , where c is the original price of the item.
Therefore, let's find d(25) and describes what it means.
Hence,
d(c) = c - 0.08c
where
c = original priceTherefore,
d(25) = 25 - 0.08(25)
d(25) = 25 - 2
d(25) = 23
Therefore, d(25) is the price he paid when the original price is 25 units. Therefore, he paid 23 units
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sarah set up a lemonade stand and sold each glass for $1.25. write an algebraic expression to represent sarah's profit.
Answer:
Y=1.25M
Step-by-step explanation:
Y represents the total amount of money being earn
1.25 is how much 1 lemonade drink cost
M represents the number of lemonade that was sold
The amount of lemonade sold time's How much each lemonade drink cost shall give you the total amount of money earn.
the response times for a certain ambulance company are normally distributed with a mean of 13 minutes.95% of the response times are between 10 and 16 minutes
The average response time for the ambulance company is 13 minutes, with 95% of response times falling between 10 and 16 minutes.
The response times for a specific ambulance company follow a normal distribution with a mean of 13 minutes. This means that the majority of response times will cluster around the average of 13 minutes.
Furthermore, we know that 95% of the response times fall within the range of 10 to 16 minutes. This suggests that the response times are relatively consistent, with only a small percentage of outliers falling outside this range.
In summary, the average response time for this ambulance company is 13 minutes, and 95% of their response times fall between 10 and 16 minutes.
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Please answer this one I need it done in 10 MINUTES!!!
64 players started how many left after 3 rounds
Answer: 8
Step-by-step explanation:
I do not understand the question. But if my interpretation is correct, then:
If there are 64 players and 3 rounds, 32 will get out in the first round. 16 will get out in the second, and 8 will get out on the third. Thus, the answer is 64-(32+16+8) or just simply 8.