Step-by-step explanation:
Add the values
x - y = 6
x + y = 2
-------------
2x = 8
--------------
Substitute for x
2x = 8
x = 8/2
x = 4
insert x = 4 into equation x - y = 6
x - y = 6
4 - y = 6
-y = 6 - 4
-y = 2
-y/-1 = 2/-1
y = -2
∴ y = -2 , x = 4
Solved by elimination
Solved by elimination Through chibabykalu16
Find x
NOTE: Angles not necessarily drawn to scale.
Answer:
148 degrees
Step-by-step explanation:
b/c a line is 180 degrees and the angle given is 32 so 180- 32= 148
and the line is bisected at point p so it is 148 because of alternate interior angles.
Franco said 9.37×0.1=93.7 is he correct
Answer:
No, Franco's calculation is incorrect.
Step-by-step explanation:
No, Franco's calculation is incorrect. The correct answer is 9.37 x 0.1 = 0.937.
When multiplying a decimal number by a decimal number, the decimal point in the product should be placed so that the number of decimal places in the product is equal to the sum of the number of decimal places in the factors. In this case, the number 9.37 has two decimal places, and the number 0.1 has one decimal place. Therefore, the product of 9.37 x 0.1 should have a total of 2 + 1 = 3 decimal places.
To obtain the correct answer, we need to multiply 9.37 x 0.1 using standard long multiplication:
Copy code
9.37
x 0.1
0.937
Therefore, the correct answer is 0.937, not 93.7 as Franco stated.
Answer:
No. This is incorrect.
Step-by-step explanation:
9.37 × 1 = 9.37
Times by 1 the number stays the same.
If you multiply by 0.1 the decimal will move one place and the 9.37 should get smaller! The sentence in the problem shows 93.7 which is bigger.
9.37 × 10 = 93.7
9.37 × 0.1 = 0.937
No. of coffee sales (undred)
2
18
S
10
15
20
Temperature (°C)
25
30
Describe the relationship between the temperature and the coffee
sales
0
As the temperature decreases, the number of coffee sales
decreases
As the temperature increases, the number of coffee sales
increases
As the temperature increases, the number of coffee sales
decreases
D
There is no trend between the temperature and the number of
coffee sales
LT
The relationship between the temperature and the coffee sales is if the temperature decreases then the number of coffee sales decreases.
So, option a is correct.
What is meant by temperature?The SI unit of temperature according to the International System of Units is Kelvin, indicated by the sign K. The Kelvin scale is widely recognized or used in research and engineering. However, the global standard for measuring temperature is the Celsius or Fahrenheit scale. The unit of measurement known as temperature can be expressed on a number of scales, including the Fahrenheit and Celsius systems. Temperature depicts the direction in which heat energy spontaneously moves, i.e., from a hotter (body with a higher temperature) to a colder (body with a lower temperature) (one at a lower temperature).
The relationship between the temperature and the coffee sales is if the temperature decreases then the number of coffee sales decreases.
Hence, option a is correct.
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Jessica’s is making $300 less than four times what she was making when she started working. Let s represent her starting salary. Write an expression showing how much Jessica is making now in terms of her starting salary, s. Show work.
Answer:
4s-$300
Step-by-step explanation:
Two pieces of information given describe Jessica's salary in relation to her starting salary. This information is that she makes nearly four times her starting salary (multiplication) and the exact amount she is short of exactly four times is $300 (subtraction). As with the order of mathematical operations, start with multiplication, then put the subtraction into the expression.
s
4s
4s-$300
This final expression shows how much she is making now in terms of her starting. salary
Solve the inequality for x.
2(4x+9) ≤5x+3
Given a2 = 7 and a5 = −56 of a geometric sequence, what is the recursive equation for the nth term? a an = 2(an − 1), a1 = 3.5 b an = 2(an − 1), a1 = −3.5 c an = −2(an − 1), a1 = 3.5 d an = −2(an − 1), a1 = −3.5
Answer: an=-2(an-1), a1=3.5
Step-by-step explanation: took the quiz and got it right
An = -3.5(-2)ⁿ⁻¹ and -3.5 are the Nth and first terms of the above sequence, respectively.
What is Geometric sequence?Every term in a geometric series is obtained by multiplying the term before it by the same number. Aₙ = a₁ rⁿ⁻¹ is the general phrase for it. The common ratio is denoted by the number r.
Given a₂ = 7 and a₅ = −56 for a geometric sequence.
From the general formula of geometric sequence's nth term
Aₙ = a₁ rⁿ⁻¹
Thus
A₂ = 7 = a₁ r²⁻¹ = a₁ r
A₅ = -56 = a₁ r⁵⁻¹ = a₁ r⁴
comparing both equations
A₂/ A₅ = a₁ r / a₁ r⁴
=> -7/56 = 1/r³
=> r³ = -8
=> r = -2
putting this value of r in equation 1
a₁ = -7/2
Hence, for the nth term of the sequence
Aₙ = -7/2(-2)ⁿ⁻¹
Therefore, the Nth term and the first term of the given sequence are Aₙ = -3.5(-2)ⁿ⁻¹ and -3.5 respectively.
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100 POINTS
Find the focus. x^2 = 6y (please explain, I want to understand the solution)
The coordinate of the parabola's focus in the following equation, x2=6y, is (0,3/2)
What are Directrix and Focus?
What are a parabola's focus and directrix? Typically speaking, parabolas are the graphs of quadratic functions. They can alternatively be thought of as the collection of all points whose separation from the focus is the same as their separation from a certain line (the directrix).
What are the focus's coordinates?
The focus's coordinates f(0,a)
The equation that we have given is
x^2 = 6y
We are aware that the parabola's general equation is,
x^2 = 4ay
The axis of symmetry is a line that splits the parabola in half and runs through the focus.
We must ascertain the worth of
6y = 4ay
6 = 4a
a = 6/4 = 3/2
The focus' coordinate (0,3/2) is as a result.
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The proportion of households that own mutual funds but not individual stocks or individual stocks but not mutual funds is a. 40%. b. 60%. c. 80%. d. 100%
The proportion of households that own mutual funds but not individual stocks or individual stocks but not mutual funds is in option (b) 60%.
Proportion: Two ratios are said to be proportional if they express the same relationship.
Given that:
P (households owning mutual funds) = 60% = 0.6
P (households owning individual stocks) = 40% = 0.4
P (households owning both mutual funds and individual stocks) = 20% = 0.2
P (households that own mutual funds but not individual stocks or individual stocks but not mutual funds)
= P(A) only + P(B) only = [P(A) - P(A∩B)] + [P(B) - P(A∩B)]
= 0.4 + 0.2 = 0.6 = 60%.
Please refer to this complete question:
In a certain town, 60% of the households own mutual funds, 40% own individual stocks, and 20% own both mutual funds and individual stocks. The proportion of households that own mutual funds but not individual stocks or individual stocks but not mutual funds is
a. 40%.
b. 60%.
c. 80%.
d. 100%
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using the least-squares regression line, calculate the predicted value and residual value for the data point where the non-native grass biomass is equal to 35 and the coastal sage scrub biomass is equal to 20. give your answers precise to three decimal places.
By using the least-squares regression line the equation will be y = 1.518x + 0.305.
Let us find the value of slope and y-intercept that suits the data y = mx + b
And then , we have to find the value of x² ,∑x,∑y,∑x²,∑xy also N
Then, we have to calculate the slope m
m = n∑(xy) - ∑x ∑y / n ∑(x²) - (∑x)²
= 5 X 236 -26 X 41 / 40 - 676
= 249 / 164
= 1.5183
Then , we hace to calculate the intercept b
b = ∑y - m∑x / n
= 41 - 1.5183 X 26 / 5
= 0.3049
After this we have to assemble it in the equation of line
y =mx + b
Therefore ,
y = 1.518x + 0.305
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What is the equation, in stanard form, of a parabola that models the values in the table x-3 0 2 f(x) -8 -2 -28
The equation of the parabola is f(x)= 7x²+5x-2 when values of the x are -3,0,2 and the f(x) are -8,-2,-28.
Given that,
The values of the x are -3,0,2 and the f(x) are -8,-2,-28
We have to find the equation of the parabola with the x and f(x) values.
We know that,
The equation of the parabola of the form f(x) = ax²+bx+c
So,
-3a-3b+c=-8 ----->equation(1)
c=-2
2a+2b+c=-28 ------>equation(2)
Substituting c=-2 in equation(1) and equation(2)
-3a-3b-1+8=0
-3a-3b+7=0 ------>equation(3)
2a+2b-2+28=0
2a+2b+26=0 ------>equation(4)
Subtracting 2×equation(3) and 3×equation(4)
b=5
Substituting in equation(1)
a=7
Therefore, The equation of the parabola is f(x)= 7x²+5x-2 when values of the x are -3,0,2 and the f(x) are -8,-2,-28.
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The table and grab below shows the distance travel between two different objects which statement is correct about the speed of the two objects
The statement which is correct about the speed of the two objects is both travel at steadily increasing speed.
What is meant by direct relation?A direct relation exists when the two variables rise or fall together. In a straight link, as X rises, Y rises as well. A straight relationship will always have a positive slope on a graph.
What is speed?Speed is the pace at which an object's position changes in any direction. The distance travelled in relation to the time it took to travel that distance is how speed is defined. Since speed simply has a direction and no magnitude, it is a scalar quantity.
The graph shows the direct relation that means with increasing time and distance speed will increase. Moreover, the table also shows direct and increasing relation about the speed of two objects so the statement both travel at steadily increasing speed is correct.
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What is the slope of the line?
-3
3
-1
1
By analyzing the given line mathematically, we get the required slope of the line as 3.
What is Slope ?A line's steepness and direction can be expressed as a value called slope. It is frequently represented in variable format by the letter m. Its gradient or rate of change are other names for a line's slope.
The rise over run or slope formula, often known as the vertical change in y divided by the horizontal change in x, To determine the change in y over the change in x, the slope formula requires two points, (x1, y1) and (x2, y2).
As from the Line,
Two points = (1,2), (2,5)
(x1, y1) = (1,2)
(x2,y2) = (2,5)
Using two point we can calculate slope as
= [tex]\frac{y2-y1}{x2-x1}[/tex]
Putting the points in the formula, we get:
[tex]\frac{5-2}{2-1}[/tex]
= 3
Hence, we get the required slope as 3.
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What is 9/12 in simplest form? A 2/3 B 3/4 C 12/16 D 10/13
3/4 is 9/12 in simplest form.
What is 9/12 in simplest form?The simplest form of 9/12 is 3/4.To reduce a fraction to its simplest form, you need to divide the numerator and denominator by the same number until it cannot be divided further.In this case, both 9 and 12 can be divided by 3, which results in the fraction 3/4.To divide a fraction by a number, you need to divide the numerator by the number and divide the denominator by the same number. For example, if you divide 9/12 by 3, you would get 3/4.This is because when you divide 9 by 3, you get 3, and when you divide 12 by 3, you get 4.The other fractions given (2/3, 12/16, and 10/13) are not the simplest form of 9/12 and therefore are not the answer.The simplest form of 9/12 is 3/4.To learn more about simplifying fractions refer to:
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convert the following equation into standard form.
Y= -2x+6
Answer:
x = 3+y
Step-by-step explanation:
is your ans .................
An online streaming service charges a monthly fee as well as a one-time sign-up fee. The cost for this online streaming service is modeled by the following function where m represents the number of months the service is subscribed to and C(m) represents the total cost given that amount of time:
C(m) = 13m + 9
In the above function, what is the slope?
What is the y-intercept?
How do we interpret the slope of this function?
How do we interpret the y-intercept of this function?
The slope of the given line is 13 and the y - intercept of the line is 9.
What is equation of line?
A straight line's general equation is y = mx + c, where m denotes the gradient and y = c denotes the point at which the line crosses the y-axis. On the y-axis, this value c is referred to as the intercept.
Consider, the given equation of line,
C(m) = 13m + 9
We have to find the slope and y - intercept of the given equation.
From the given equation the slope of the equation is 13 and the y - intercept is 9.
Consider, the general equation of line
y = mx + c
where,
m is the slope of line and
c is the y - intercept of the line.
Compare the given equation C(m) = 13m + 9 with, y = mx + c
⇒ m = 13 and c = 9
Hence, the slope of the given line is 13 and the y - intercept of the line is 9.
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determine whether or not the distribution is a discrete probability distribution and select the reason why or why not. X = 0, 1, 9P( X = x ) | 0.41 | 0.6 | 0.06
Since the probabilities lie exclusively between 0 and 1 and the sum of probabilities is equal to 1 , therefore the yes , the distribution is discrete probability distribution.
As the probabilities range from 0 to 1, and the sum of probability equals 1.
Discrete probability distribution is a sort of probability distribution that provides all potential values of a discrete random variable along with the related probabilities. In other words, a discrete probability distribution describes the possibility of each potential value of a discrete random variable occurring.
Some common discrete probability distributions are geometric distributions, binomial distributions, and Bernoulli distributions. This page defines a discrete probability distribution, as well as its formulas, types, and numerous instances.
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10, 12, 11, 13, 14, 12, 13, 14, 13, and 12 find the mean.
The mean of the given data is 12.4
What is mean?The mean can be calculated only for numeric variables, no matter if they are discrete or continuous. It's obtained by simply dividing the sum of all values in a data set by the number of values.
Given that, a data, 10, 12, 11, 13, 14, 12, 13, 14, 13, and 12
Arranging the data in ascending order, 10, 11, 12, 12, 12, 13, 13, 13 14, 14
The sum is = 10+12+11+13+14+12+13+14+13+12 = 124
Total number of data = 10
Mean = sum of the numbers/ total numbers of data
Mean = 124/10
Mean = 12.4
Hence, the required mean is 12.4
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in a recent survey 70% of the community favored building a health center in their neighborhood. If 14 citizens are chosen find the probability that 8 of them favor building the health center
The probability of those that favors building the health center is 0.196
What is probability?The probability is the measure of the likelihood of an event to happen. It measures the certainty of the event. The formula for probability is given by; P(E) = Number of Favorable Outcomes/Number of total outcomes.
In a recent survey, 70% of the community favored building a health center in their neighborhood. If 14 citizens are chosen, find the probability that exactly 8 of them favor the building of the health center.
According to the scenario, 70% of the community favoured in building a health centre.
Hence , p=0.7.
In order to find the probability, binomial theorem will be used as follows :
= 0.196
Hence, The probability is 0.196
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8.
supplementary angles. IfAnswer:
Do u like m&m because I do
WILL MARK BRAINLIEST ‼️‼️
MULTIPLE CHOICE‼️
Which equation illustrates the identity property of multiplication?
Answer:
C
Step-by-step explanation:
Anything multiplied by one is itself...its identity
find the value of x in this problem
Answer: x=22
Step-by-step explanation:
Based on the given figure, we can tell that 2x and 44 are vertical angles. Vertical angles are congruent to each other, so we can set them equal to each other.
2x=44 [divide both sides by 2]
x=22
Therefore, x=22.
WILL GIVE BRAINLIEST!
The aquarium has one fewer redfish than blue fish. 60% of the fish are blue. How many blue fish are in the aquarium? Show your work.
Answer:
There are 3 blue fish in the aquarium.
Step-by-step explanation:
Let the total number of fish be denoted by T, total number of blue fish be B and total number of red fish be R
We can write, T = B + R
Since the aquarium has one fewer redfish than blue fish, R = B - 1
So,
T = B + (B - 1) = 2B - 1
As 60% of total fish is blue, we can write
60% of T = B
or, (60/100) x T = B
or, 3/5 x T = B
or, 3/5 x (2B - 1) = B
or, 6B - 3 = 5B
or, 6B - 5B = 3
or B = 3
Therefore, there are 3 blue fish in the aquarium.
No. of red fish, R = B - 1 = 3 - 1 = 2
in a homicide case different witnesses picked the same man from a line up. the line up contained 5 men. if the identifications were made by random guesses, find the probability that all witnesses would pick the same person. round to seven decimal places.
Rounding to seven decimal places, the probability that one individual would be selected by all witnesses is 0.0000128.
Six different witnesses chose the same individual from a lineup in a homicide case. There were 5 guys in the lineup. The likelihood that each of the six witnesses would choose the same person if the identifications were done based just on guesswork.
P = 1 ÷ 5 is the likelihood that a witness will choose a certain individual at random.
The likelihood that all seven witnesses would select the same subject is P = [tex](\frac{1}{5})^{7}[/tex]= 0.0000128.
Simply put, the probability is the likelihood that something will occur. We can discuss the probabilities of different outcomes to determine how likely they are if we are unclear about how an event will turn out.
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The balance on Howard Gessner’s American Express card on August 1 is $543.27. In August, he charges an additional $201.25 of purchases, has returns of $89.22, and makes a payment of $300. If the finance charges are calculated at 1.5% per month on the unpaid balance, find the balance on September 1.
Mathematically, the balance on Howard Gessner's American Express card on September 1 is $360.63.
How do we determine the balance?The ending balance on September 1 is determined using the mathematical operations of addition, subtraction, and multiplication (for the finance charge).
The finance charge is the interest and other fees paid for borrowing credit.
The finance charge is always based on a percentage, called the annual or monthly percentage rate (APR or MPR).
In this situation, the monthly percentage rate is applied to the unpaid balance (multiplication) at the end of August, to determine the finance charge, which is added to the unpaid balance to compute the September 1 balance.
August 1 Balance = $543.27
Purchases 201.25
Returns (89.22)
Payments (300.00)
Unpaid balance $355.30
Finance charge 5.33 ($355.30 x 1.5%)
September 1 Balance $360.63
Thus, using mathematical operations, the balance on September 1 is $360.63.
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A subscription to a program normally costs $36 but is on sale for 25% off. A 7% tax is added at checkout. What is the total cost? $28.89 $45.59 $9.00 $27.00
Answer:
$28.89
Step-by-step explanation:
he subscription is on sale for 25% off, so the cost is $36 - (25% * $36) = $36 - $9 = $27.
Then, a 7% tax is added at checkout, so the total cost is $27 + (7% * $27) = $27 + $1.89 = $28.89.
Therefore, the total cost is $28.89.
Answer:
Step-by-step explanation:
36 will be 27 and 7% of 27 should be added 1,89 so 28,89
What are the coefficients in the following expression x^2+2x-5xy-y+3y^4
Answer:
1,2,-5,-1,3
Step-by-step explanation:
the coefficients are the numbers before the variables (x and y)
if there is nothing infront of the variable then the coefficient is 1
if there is only a negative sign infront of the variable then the coefficient is -1
A satellite encircles Mars at a distance above its surface equal to 3 times the radius of Mars. The acceleration of gravity of the satellite, as compared to the acceleration of gravity on the surface of Mars, is A)Zero B)the same C)1/3 D)1/16
The acceleration of gravity of the satellite, as compared to the acceleration of gravity on the surface of Mars is (D) 1/16.
The term Acceleration defined as the gravity at the surface of Mars is given by the formula
Gₙ = GM/R²
where
M refers mass of Mars
R refers radius of Mars
Here we need to find if we take a point which is at height 3 times the radius of Mars from its surface.
While we take the height 3 times the radius of Mars from its surface.
The it can be written as,
=> Gₙ = GM/(3R + R)²
When we expand it then we get.
=> Gₙ = GM/16R²
Therefore, the resulting gravity on the surface of the mars is 1/16.
So, the option (D) is correct.
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Write a quadratic function in standard form whose graph passes through (-5,0), (0,-8), and (4,0)
The quadratic equation y = (2 / 5) · x² + (2 / 5) · x - 8 contains the points (- 5, 0), (0, - 8) and (4, 0).
How to derive the equation of a parabola
In this problem we find the case of a parabola, parabolae are defined by quadratic equations of the form:
y = a · x² + b · x + c
Where:
a, b, c - Real coefficients.x - Independent variable.y - Dependent variable.First, write the points associated with the parabola:
(x₁, y₁) = (- 5, 0), (x₂, y₂) = (0, - 8), (x₃, y₃) = (4, 0)
Second, create a system of linear equations:
25 · a - 5 · b + c = 0
c = - 8
16 · a + 4 · b + c = 0
Third, resolve the system by numerical methods:
(a, b, c) = (2 / 5, 2 / 5, - 8)
Fourth, write the resulting quadratic equation:
y = (2 / 5) · x² + (2 / 5) · x - 8
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Can someone help me with this real quick?
Answer:
y = 5
Step-by-step explanation:
the line is horizontal and has always y = 5
What is the answer for identifying the slope and Y intercept for this graph ?
