Answers
Answer:
3)x=-9
4)x=-2
5)x=-4
6)x=-5
7)x=-12
8)x=-11
Step-by-step explanation:
Related Questions
To eliminate the y-terms and solve for x in the fewest steps, by which constants should the equations be multiplied by before adding the equations together?
First Equation: 5x − 4y = 28
Second equation: 3x - 9y = 30
The first equation should be multiplied by 3 and the second equation by 5.
The first equation should be multiplied by 3 and the second equation by −5.
The first equation should be multiplied by 9 and the second equation by 4.
The first equation should be multiplied by 9 and the second equation by −4
Answers
Answer:
The first equation should be multiplied by 9 and the second equation by −4
Step-by-step explanation:
Given the simultaneous equation
First Equation: 5x − 4y = 28
Second equation: 3x - 9y = 30
In order to eliminate y, we must make the coefficient of x in both expression to be equal.
To do that the first equation should be multiplied by 9 (negative value of the coefficient of y in equation 2)and the second equation by -4( (coefficient of y in equation 1)
the axis of symmetry for the graph of the function f(x)=1/4x2+bx+10 is x=6 what is the vale of 6?
Answers
Considering the vertex of the quadratic equation, it is found that the value of b is of b = 3.
What is the vertex of a quadratic equation?A quadratic equation is modeled by:
y = ax^2 + bx + c
The vertex is given by:
\((x_v, y_v)\)
In which:
\(x_v = -\frac{b}{2a}\)\(y_v = -\frac{b^2 - 4ac}{4a}\)The axis of symmetry is of \(x = x_v\). In this problem, we have that a = 0.25 and x_v = 6, hence:
b/2a = 6.
b/0.5 = 6
b = 6 x 0.5
b = 3.
The value of b is of b = 3.
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!!!20 points!!!Choose the answer that best represents the situation described below.
Steve starts a road trip with a full tank of gas in his car. The farther he drives,
the less gas will be in his car at the next visit to the gas station.
A. The distance Steve drives on a road trip is a function of the
number of times he has to go to the gas station.
B. The distance Steve drives on a road trip is a function of the type of
car he has
C. The amount of gas left in Steve's car at his next visit to the gas
station is a function of the distance he drove.
SUBMIT
Answers
Answer:
C. The amount of gas left in Steve's car at his next visit to the gas
station is a function of the distance he drove.
Step-by-step explanation:
From the question, the car starts with a full tank of gas and the more the distance covered, the less gas will be left in the car at the next visit to the gas station.
The variables to take note are the distance travelled and the amount of gas left in the car at next visit to the gas station.
This means the farther he drives, the less gas will be left in the car because longer distances travelled consumes more gas in the car thus less gas will be left when the next visit to the gas station occurs.
What is the area of the region of points
satisfying the inequalities x ≤ 0, y ≤ 0, and
y ≥ |x + 4| − 5?
Answers
the area of the region of points satisfying the inequalities x ≤ 0, y ≤ 0, and y ≥ |x + 4| − 5 is 12.5 square units.
solve the equation: 10y-7=27
Answers
Answer:
10y=27+7
10y=34
y=34/10
y=3.4
Step-by-step explanation:
Firstly 7 is added to 27
Then adding 7 and 27
Dividing 34 by 10
what is the reciprocal of -1/5
Answers
Answer:
5/-1
Step-by-step explanation:
The reciprocal is just flipping the fraction.
A company wants to open a new store in a mall. They have a choice of three different locations. To decide which location would have the greatest number of people passing by, they select 20 different hours at random from all hours the mall is open during one week and count the number of people who pass by each location. Which of these best explains the validity of the sampling procedure used by the company?
A.
It is valid because the company applied the same procedure to all three locations and used random sampling to select the times to collect data.
B.
It is not valid because the company applied the same procedure to all three locations and used random sampling to select the times to collect data.
C.
It is valid because the company applied the same procedure to all three locations and used a method that is convenient for the survey takers.
D.
It is not valid because the company applied the same procedure to all three locations and used a method that is convenient for the survey takers.
Answers
The statement that explains the validity of the sampling procedure used by the company is the company applied the same procedure to all three locations and used random sampling to select the times to collect data. The Option A is correct.
Why is the sampling procedure used by the company valid?The procedure used is valid because they applied the same procedure to all three locations and used random sampling to select the times to collect data.
By using the random sampling, they ensured that they were selecting a representative sample of the entire population of mall visitors.
Also, by applying same procedure to all three locations, they ensured that they were collecting comparable data and this helps to increase the generalizability of their findings and make their decision-making process more reliable.
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What is the cube of 8?
O A. 2
O B. 64
C.53
O D. 24
Answers
Answer:
for my answer i got 512 but it is not one of the answer choices
Step-by-step explanation:
An game is on sale for $28, which is 30% off the original price. What was the original price?
a$19.60
b$40.00
c$84.00
d$98.33
Answers
The solution is the original price was 93.33.
What is percentage?A percentage is a number or ratio that can be expressed as a fraction of 100. A percentage is a number or ratio expressed as a fraction of 100. It is often denoted using the percent sign, "%", although the abbreviations "pct.", "pct" and sometimes "pc" are also used. A percentage is a dimensionless number; it has no unit of measurement.
here, we have,
An game is on sale for $28, which is 30% off the original price.
let,
the original price was x
ATQ,
x*30% = 28
x = 280/3
x=93.33
Hence, The solution is the original price was 93.33.
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find the smallest n so that all all of the numbers are natural, 27+n, n/3 , square root of (n+16)
Answers
Answer:
9
Step-by-step explanation:
We know it has to be a multiply of 3
27 + 3 = 30 nat number
3/3 = 1 nat number
sq root 19 not nat number
27 + 9 = 36 nat number
9/3 = 3 nat number
sq root 25 = 5 nat number
correct!
If my answer is incorrect, pls correct me!
If you like my answer and explanation, mark me as brainliest!
-Chetan K
_8+5 I need helpplz
Answers
Answer:
8 plus five is 13..
Step-by-step explanation:
A new truck was purchased for $58,000. Each year after the truck was purchased, its value decreased by approximately seven-eighths. What is the value of the truck 12 years after
purchase?
Answers
Answer:
Therefore, the value of the truck 12 years after it was purchased is approximately $1,624.
Step-by-step explanation:
To find the value of the truck after 12 years, we need to apply the seven-eighths decrease to the original value each year. Let's set up an equation:
Value after 12 years = $58,000 x (7/8)^12
Simplifying, we get:
Value after 12 years = $58,000 x 0.028
Value after 12 years = $1,624
Therefore, the value of the truck 12 years after it was purchased is approximately $1,624.
Every student of a school donated as much money as their number to make a fund for Corona- virus victims. If they collected Rs.13225 altogether, how many students donated money in the fund?
Answers
Answer:
The problem statement suggests that the series of donations is arithmetic, as each student's donation increases by one as their number increases. Therefore, we can apply the formula for the sum of an arithmetic series to solve this problem.
In an arithmetic series, the sum S of n terms is given by:
S = n/2 * (a + l)
where:
- n is the number of terms (which represents the number of students in this case),
- a is the first term (in this case, the first student's number, which would be 1), and
- l is the last term (in this case, the last student's number, which we don't know yet).
Given that S = Rs. 13225, we have:
13225 = n/2 * (1 + l)
Since this is an arithmetic series starting from 1, the last term, l, is equal to n. Thus, we can substitute l with n:
13225 = n/2 * (1 + n)
Multiplying through by 2 to clear the fraction gives:
26450 = n * (1 + n)
Rearranging to a quadratic equation gives:
n^2 + n - 26450 = 0
This is a quadratic equation in the form of ax^2 + bx + c = 0. To solve for n, we can use the quadratic formula, n = [-b ± sqrt(b^2 - 4ac)] / (2a). But since n cannot be negative in this context (as it represents the number of students), we will only consider the positive root.
Applying the quadratic formula, we find that the positive root is approximately 162.5. However, the number of students must be a whole number. Therefore, the number of students is 163, because the 163rd student did not donate fully as per their number, and that's why the total amount doesn't reach the full sum for 163 students.
So, there were 163 students who donated money to the fund.
The Commutative Property of Addition would say
3y + 6 = _______
Answers
Answer:
6 + 3y
Step-by-step explanation:
a + b = b + a
Numbers can be added in any order, and you still get the same answer
What kind of distribution is the t-distribution?
Answers
Answer:
The t-distribution is a kind of probability distribution that is bell-shaped (like the normal distribution) but has a good number of values at the tails, making the tails fatter and the curve flatter.
Step-by-step explanation:
The t-distribution is a kind of probability distribution that is bell-shaped (like the normal distribution) but has a good number of values at the tails, making the tails fatter and the curve flatter.
The smaller the sample size n, the flatter the t-distribution curve but the larger the sample size n, the closer in identity to the normal distribution, the t-distribution will be.
one half cubed − 6 ÷ square root of 64
negative five eighths
negative 47 over 64
five eighths
47 over 64
Answers
Answer:
answer: negative five eighths
The solution to the expression one half cubed − 6 ÷ square root of 64 is A. negative five-eighths.
Given a fractional expression:
One half cubed − 6 ÷ square root of 64
It is required to find the value of the expression.
This can be numerically written as:
\((\frac{1}{2} )^3-6\div\sqrt{64}\)
It is known that:
\(\sqrt{64}=8\)
So, the expression can be written as:
\((\frac{1}{2} )^3-6\div8\)
Now, \((\frac{1}{2} )^3=\frac{1}{2^3}\)
\(=\frac{1}{8}\)
So, the expression becomes:
\((\frac{1}{8} )-6\div8\)
Using the BODMAS rule, division has to be done first before subtraction.
So, the expression becomes:
\((\frac{1}{8} )-\frac{6}{8}=-\frac{5}{8}\)
Hence, the correct option is A. negative five-eighths.
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The function f(x)= 2x +4x^-1 has one local minimum and one local maximum.
This function has a local maximum at x=?
with value ?
and a local minimum at x=?
with value ?
Answers
The requried, local minimum and maxium for the given function is √2 and -√2.
We need to find the local maximum and local minimum of the function \(f(x) = 2x + 4x^{(-1)}.\)
First, we find the derivative of f(x):
\(f'(x) = 2 - 4x^{(-2)} = 2 - 4/x^2\)
Setting f'(x) = 0 to find the critical points:
\(2 - 4/x^2 = 0\)
Solving for x, we get:
x = ±√2
To determine whether these critical points are local maxima or minima, we need to examine the sign of the second derivative:
\(f''(x) = 8x^{(-3)}\)
When x = √2, f''(√2) = 8/(√2)³ = 8√2 > 0, so x = √2 is a local minimum.
When x = -√2, f''(-√2) = 8/(-√2)³ = -8√2 < 0, so x = -√2 is a local maximum.
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Hank made payments of $219 per month at the end of each month for 30 years to purchase a piece of property. He promptly sold it for $195,258. What interest rate, compounded monthly, would he need to earn on an ordinary annuity for a comparable rate of return?
Answers
To achieve a comparable rate of return, Hank would need to earn an interest rate of approximately 0.86% per month, compounded monthly on his ordinary annuity.
To find the interest rate, compounded monthly, that Hank would need to earn on an ordinary annuity for a comparable rate of return, we can use the present value formula for an ordinary annuity.
First, let's calculate the present value of Hank's payments. He made payments of $219 per month for 30 years, so the total payments amount to $219 * 12 * 30 = $78840.
Now, we need to find the interest rate that would make this present value equal to the selling price of the property, which is $195,258.
Using the formula for the present value of an ordinary annuity, we have:
PV = P * (1 - (1+r)\(^{(-n)})\)/r,
where PV is the present value, P is the payment per period, r is the interest rate per period, and n is the number of periods.
Plugging in the values we have, we get:
$78840 = $219 * (1 - (1+r)\({(-360)}\))/r.
Solving this equation for r, we find that Hank would need to earn an interest rate of approximately 0.86% per month, compounded monthly, in order to have a comparable rate of return.
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Using the unit circle determine the value of sin -210°.
Answers
Answer:
See below
Step-by-step explanation:
Sin -210 has a reference angle of 30°
The unit circle that determine the value of sin -210° is √3/2
To determine the value of sin(-210°) using the unit circle, we need to find the corresponding angle on the unit circle and then evaluate the sine function at that angle.
Let's start by finding the positive equivalent angle of -210°:
-210° + 360° = 150°
So, -210° is equivalent to 150°.
Next, we locate 150° on the unit circle:
The angle 150° lies in the second quadrant.
In the second quadrant, the y-coordinate is positive, and the x-coordinate is negative.
On the unit circle, we can draw a right triangle where the hypotenuse has a length of 1 unit (radius of the circle).
The y-coordinate represents the length of the opposite side, and the x-coordinate represents the length of the adjacent side.
In the second quadrant, the x-coordinate is negative, and the y-coordinate is positive.
Therefore, the y-coordinate is the positive square root of the complement of the x-coordinate, which is (sqrt(3)/2).
So, sin(150°) = √(3)/2).
Therefore, the unit circle that determine the value of sin -210° is √3/2
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Carlos read 150 words in one minute. He
read 5 times as many words as his younger
brother. How many words did his younger brother
read in one minute?
Answers
Answer:
30
Step-by-step explanation:
150/5 = 30
Answer: 30
Step-by-step explanation:
A ray lies on the line MN←→−. It starts at point Q and passes through the points P and R. Which of the following is a correct name for this ray?
Answers
Answer:
please mark my answer brainliest
Step-by-step explanation:
the correct name will be QP...or QR
Which point would NOT be a solution to the system of linear inequalities shown below?
Answers
It's asking would not be a solution soo
(-10, -9) as you can see
You're welcome thank me later
HELP ASPAPP The general form of an equation is x2+y2−25x+3y+1=0.
What is the equation of the circle in standard form?
Answers
Answer:
the first (top) answer option. ... = 129/100
Step-by-step explanation:
the for me qualifying or disqualifying term is the constant term as the product and sum of all the constant parts.
the general form has the constant parts
... + 1 = 0
so, all the constant terms from the squares on the left side minus the constant term on the right side must be 1.
let's start from the bottom : the 4th answer option.
the constant parts are
... + (-1/5)² + ... + (3/2)² = 121/100
... + 1/25 + ... + 9/4 = 121/100
... + 0.04 + ... + 2.25 = 1.21
... + 2.29 - 1.21 = ... + 1.08
and NOT 1. so, this is wrong.
the 3rd answer option.
... + (-1/3)² + ... + (-3/2)² = 221/100
... + 1/9 + ... + 9/4 = 221/100
... + 0.111111... + ... + 2.25 = 2.21
... + 0.111111... + ... + 2.25 - 2.21 = 0
... + 0.111111... + ... + 0.04 = 0
... + 0.111111 + 0.04 = 0.15111111...
and NOT 1. so, this is wrong.
the 2nd answer option.
... + (-1/5)² + ... + (3/2)² = 229/100
... + 1/25 + ... + 9/4 = 229/100
... + 0.04 + ... + 2.25 = 2.29
... + 2.29 - 2.28 = ... + 0
and NOT 1. so, this is wrong.
the first answer option.
... + (-1/5)² + ... + (3/2)² = 129/100
... + 1/25 + ... + 9/4 = 129/100
... + 0.04 + ... + 2.25 = 1.29
... + 2.29 - 1.29 = ... + 1
this IS 1. so, this is correct.
this corresponds now to the original
... + 1 = 0
Answer: Choice A (May vary from test to test)
Step-by-step explanation:
(x-1/5)^2 + (y+3/2)^2 = 129/100
Just an FYI:
I can't stress this enough... Add equation symbols when applicable, for example: √,^,/, etc. You can't expect to have someone give the correct answer when you literally typed the equation out incorrectly.
write an equation of a line in slope intercept form that passes through the point (-4,1) and has a slope of -3
Answers
Answer:
y+3x+11=0
Step-by-step explanation:
m=-3, x1=-4, y1=1
from m=y-y1/x-x1
-3=y-1/x-(-4)
-3(x+4)=y-1
-3x-12+1=y
y=-3x-11
y+3x+11=0
the length of a rectangle is 2 inches longer than twice its width. If the area of the rectangle is 24 square inches, what are the dimensions?
Answers
Answer:
The length is 8 inches and the width is 3 inches
Step-by-step explanation:
Let w represent the width.
The length can be represented by 2w + 2
Use the area formula, A = lw, and plug in the area and the expressions for the length and width:
A = lw
24 = (2w + 2)(w)
Simplify and solve for w:
24 = 2w² + 2w
2w² + 2w - 24
Divide everything by 2:
w² + w - 12
Factor:
(w + 4)(w - 3)
Set equal to 0 and solve for each factor:
w + 4 = 0
w = -4
w - 3 = 0
w = 3
Since the width cannot be negative, the width has to be 3.
Next, find the length by plugging in 3 as w:
2w + 2
2(3) + 2
= 8
So, the length is 8 inches and the width is 3 inches
In your own words define and give an example of Associative Property
Answers
Answer:
The associative property states that you can add or multiply regardless of how the numbers are grouped.
Step-by-step explanation:
3+4+9=9+3+4=4+9+3 etc
of 30 students, 1/3 play sports. of those who play sports,2/5 play soccer. How many students play soccer?
Answers
Answer: 4
Step-by-step explanation:
1 third of 30 is 10 and 2/5s of 10 is 4
The equation that represents ⨀A is (x+1)2+(y−1)2=16. Determine whether point B(3,1) is on the circle.
Answers
Answer:
Step-by-step explanation:
center=(-1,1)
radius=√16=4
distance between (-1,1) and (3,1)=√[(3+1)²+(1-1)²]=√[16+0]=√16=4=radius
Hence point lies on the circle.
which property does the equation demonstrate? 7(6*4) = 42 + 28
Choices:
A= associative
B= commutative
C= distributive
D= identity
Answers
Answer: C
Step-by-step explanation:
7*6=42 7*4=28
The U.S. Bureau of Labor Statistics is a government agency that collects information about jobs in the U.S. In 2014, the Bureau reported that police officers had a median yearly salary of $52,936.
Calculate the average hourly wage for police officers. Round to the nearest cent. Assume that police officers generally work 40 hours a week. There are 52 weeks in the year.
Answer = $ per hour
Answers
Answer:25.45
Step-by-step explanation:
52936/1 year x 1 year/52 weeks x 1 week/40hours