5x = y + 37 x= - 5y - 29
Answers
The given system of equations is expressed as
5x = y + 37
x = - 5y - 29
We would apply the method of substitution by substituting equation 2 into equation1. It becomes
5(- 5y - 29) = y + 37
- 25y - 145 = y + 37
y + 25y = - 145 - 37
26y = - 182
y = - 182/26
y = - 7
Substituting y = - 7 into the second equation, it becomes
x = - 5 * - 7 - 29
x = 35 - 29
x = 6
The solution is (6, - 7)
Related Questions
what is the slope intercept form of 4x+y=-3
Answers
Answer:
Step-by-step explanation:
-4x-3=y
please help me asap
Answers
Answer: Number 1: = and Number 2: is C
Step-by-step explanation:
Answer:
6. >
7. 5/6, 2/3, 8/15
Step-by-step explanation:
For 6, you need to make the denominators equal, so you need to multiply 6/3*5 making it 30/15. Now which is greater 30/15 or 10/15 and you can see it's 30/15 so it would be >. For 7 you need to do the same thing but make all three denominators the same. 2/3 becomes 20/30 by multiplying by 10. 5/6 becomes 25/30 by multiplying by 5. Lastly, 8/15 becomes 16/30 by multiplying by 2. Now all their denominators are the same, so now all you have to do is order them. 25/30, 20/30, and 16/30. This is equal to 5/6, 2/3, 8/15.
A ____________________ is a measurement of the change in variables over a specific period of time.
Group of answer choices
an ordered pair
graph
table
rate of change
Answers
Answer:
rate of change
Step-by-step explanation:
The rate of change (ROC) is the speed at which a variable changes over a specific period of time.
In the diagram a || b. Use the diagram to answer the question. Name the alternate interior angle to <2
Answers
The angle 7 is the alternative interior angle to angle 2.
Given that,In the diagram a || bWe need to find the alternate interior angle to <2 .Alternate interior angles are the angles that are formed when a transversal crosses two parallel lines.
They are the angles that are on opposite sides of the transversal and inside the two parallel lines.
Thus, in the given diagram, the angle that is opposite to angle <2 and is inside the two parallel lines a and b is the alternate interior angle to angle <2.
We can see that the alternate interior angle to angle <2 is <7. Therefore, the alternate interior angle to angle <2 is <7.
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W QUESTIONS 100 POINTS WILL GIVE BRAINLYEST
Answers
The areas for this problem are given as follows:
3. 681.25 ft².
4. 193 m².
Item 3The area of a rectangle of length l and width w is given by the multiplication of these dimensions, as follows:
A = lw.
For this problem, a rectangular deck of dimensions l = 18.75 ft and w = 15 ft is added, hence the area of the deck is:
A = 18.75 x 15 = 281.25 ft².
This area is added to the previous area, hence the total area is of:
A = 400 ft² + 281.25 ft² = 681.25 ft².
Item 4The figure is composed by:
A rectangle of dimensions 10 m and 18 m.A triangle of base 13 m and height 2 m.The area of the triangle is half the base times the height, while the area of the rectangle was presented in the previous item, hence the total area of the figure is:
A = 10 x 18 + 0.5 x 13 x 2 = 180 + 13 = 193 m².
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A questionnaire was sent to 34,000 randomly chosen individuals living in USA asking about their current and past smoking habits. For those who answered the questionnaire, they are tracked in the next 10 year for the death rate. Their data was pulled from the health record database so that if they died, the death is recorded with the diagnosis of the cause of the death. The death rates due to heart disease among the smokers and nonsmokers are then compared to see if smoking causes heart disease. What is the targeted population
Answers
Answer: The targeted population is the population of the human being from which the sampling will be done.
Step-by-step explanation:
The target population is the group of individuals where a particular sample will be drawn. It should be noted that sample simply means the people who are going to take part in a particular investigation.
The targeted population is the population of the human being from which the sampling will be done. Since the objective of the experiment is to link effect of smoking and heart disease, human being will be the targeted population.
pls solve this math question
Answers
Answer:
so let's call the unknown number x.
-5/4 x X = 7/2
by changing the subject, X = 7/2 / -5/4
to divide fractions, we turn the fraction we're dividing by upside down and change the sign to multiplication. so X = 7/2 x 4/-5
after multiplying, X =>28/-10
simplified, X = 14/-5
FOR A BRAINLIST PLEASEEEEEEEEEEEE HELP MMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMMEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHHH
Answers
Answer: 4/20, or 1/5
Step-by-step explanation: since there are 4 orange, and 20 total, then if you were to draw an orange it would be 4/20(this is very basic probability)
Answer:
A
Step-by-step explanation:
pretty sure thats it
what are the 6 steps to designing a statistical study
Answers
Answer:
Step 1: Write your hypotheses and plan your research design
Step 2: Collect data from a sample
Step 3: Summarize your data with descriptive statistics
Step 4: Test hypotheses or make estimates with inferential statistics
Step 5: Interpret your results
Step-by-step explanation:
Vector v = (2,1). What operation has been performed on v to result in the vector that is shown?
Answers
The operation that has been performed on v to result in the vector that is shown is multiplication by -1.
How to explain the vectorThe vector that is shown is (-2, -1). This can be obtained from vector v = (2, 1) by multiplying it by -1. Multiplying a vector by a negative number reverses its direction.
Multiplication of a vector by a number is performed component-wise. This means that each component of the vector is multiplied by the number. In the case of (-1) * (2, 1), each component is multiplied by -1. This results in the vector (-2, -1).
Here is the mathematical equation:
(-1) * (2, 1) = (-2, -1)
Therefore, the operation that has been performed on v to result in the vector that is shown is multiplication by -1.
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Please see my question in the attachment, thanks
Answers
As x tends to negative one from the left, the value of f(x) tends to positive infinity. As x → -1⁻, f(x) → ∞.
What is a vertical asymptote?In Mathematics and Geometry, the vertical asymptote of a function simply refers to the value of x (x-value) which makes its denominator equal to zero (0).
By critically observing the graph of this rational function f(x) shown below, we can logically deduce that its vertical asymptote is at x = -1 and x = 2, and its horizontal asymptote is at y = 3.
In this context, we can logically deduce that the value of f(x) tends towards positive infinity, as x tends to negative one from the left;
As x → -1⁻, f(x) → ∞.
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A local agricultural cooperative claims that 55% of about 60,000 adults in a country believe that gardening should be part of the school curriculum. What is the probability that, from a simple random sample of 300 adults in the county, less than 50% would say they believe that gardening should be part of the school curriculum
Answers
Using the normal distribution and the central limit theorem, it is found that there is a 0.0409 = 4.09% probability that, from a simple random sample of 300 adults in the county, less than 50% would say they believe that gardening should be part of the school curriculum.
In a normal distribution with mean \(\mu\) and standard deviation \(\sigma\), the z-score of a measure X is given by:
\(Z = \frac{X - \mu}{\sigma}\)
It measures how many standard deviations the measure is from the mean. After finding the z-score, we look at the z-score table and find the p-value associated with this z-score, which is the percentile of X. By the Central Limit Theorem, the sampling distribution of sample proportions for a proportion p in a sample of size n has \(\mu = p, s = \sqrt{\frac{p(1 - p)}{n}}\)In this problem:
The proportion is of 55%, hence \(p = 0.55\)The sample has 300 adults, hence \(n = 300\)Then, the mean and the standard error are given by:
\(\mu = p = 0.55\)
\(s = \sqrt{\frac{p(1 - p)}{n}} = \sqrt{\frac{0.55(0.45)}{300}} = 0.0287\)
The probability is the p-value of Z when X = 0.5, hence:
\(Z = \frac{X - \mu}{\sigma}\)
By the Central Limit Theorem
\(Z = \frac{X - \mu}{s}\)
\(Z = \frac{0.5 - 0.55}{0.0287}\)
\(Z = -1.74\)
\(Z = -1.74\) has a p-value of 0.0409.
0.0409 = 4.09% probability that, from a simple random sample of 300 adults in the county, less than 50% would say they believe that gardening should be part of the school curriculum.
A similar problem is given at https://brainly.com/question/25800303
Answer:
Step-by-step explanation:
If the cost, C, for manufacturing x units of a certain product is given by C= x² + 10x + 65, find the number of units manufactured at a cost of $7265
Answers
Answer:
80
Step-by-step explanation:
when you do the math you get two answers, -90 and 80
we dont use -90 because -90 units cannot be manufactured
In a mid-size company, the distribution of the number of phone calls answered each day by each of
the 12 receptionists is bell-shaped and has a mean of 60 and a standard deviation of 3. Using the
empirical rule, what is the approximate percentage of daily phone calls numbering between 57 and
63?
Answers
Answer:
Prob ( 41 <= X <= 77) =
Prob ( (41-59)/9 <= Z <= (77-59)/9 ) = <--- changes to z scores
Prob ( -18/9 <= Z <= 18/9 ) =
Prob ( -2 <= Z <= 2) =
Prob ( z<=2) - Prob(Z<=-2) = <--- by property of the normal bell curve
= 0.9772 - 0.0228 <--- per the normal distribution table
= 0.9544
Step-by-step explanation:
make sense ?
A triangle has two sides of length 15 cm and 17 cm. Select all the values of its third side that would make it a right triangle. A triangle has two sides of length 15 cm and 17 cm. Select all the values of its third side that would make it a right triangle.
Answers
Based on the Pythagorean theorem, in a right triangle, the sum of the squares of the two shorter sides is equal to the square of the longest side. So, we can use this to find the possible values of the third side of the triangle.
The two given sides are 15 cm and 17 cm. We can label the unknown side as "x". Then, we can set up an equation:
15^2 + 17^2 = x^2
Simplifying this equation, we get:
225 + 289 = x^2
514 = x^2
x = sqrt(514)
Therefore, the possible value of the third side that would make it a right triangle is approximately 22.72 cm.
pic attached will give brainliest
Answers
Answer:
3 over 2
Step-by-step explanation:
select 2 points on the line and see how far apart they are
Which number is a factor of 92?
Answers
Answer:
46 is the factor
Step-by-step explanation:
92 / 2 = 46
po
Find the x and the m
Answers
Answer:
14=x
<N =51
Step-by-step explanation:
A parallelogram has the two opposite angles equal.
<K = <M
8x+17 = 12x-39
Subtract 8x from each side
8x+17-8x = 12x-8x-39
17 = 4x-39
Add 39 to each side
17+39 = 4x-39+39
56 = 4x
Divide by 4
56/4 = 4x/4
14=x
Now find angle N
We know consecutive angles are supplementary.
<N + < M = 180
<N + 12x-39 = 180
<N + 12 (14) -39 = 180
<N +168 -39 = 180
<N +129 = 180
<N +129-129 = 180-129
<N =51
The weights of certain machine components are normally distributed with a mean of 6.3 ounces and a standard deviation of 0.03 ounces. Find the two weights that separate the top 9% and the bottom 9%. These weights could serve as limits used to identify which components should be rejected. Round your answer to the nearest hundredth, if necessary.
Answers
The two weights that separate the top 9% and the bottom 9% are 6.34 ounces and 6.26 ounces
How to solve for the weightmean = 6.3
The standard deviation = 0.03 ounces
for 9 percent, the z score is -1.34 to the left
We would use the formula
z = x - mean / sd
such that we would have
-1.34 = x - 6.3 / 0.03
cross multiply
x = 6.26
since we have solved for the lower weight, we have to solve for the upper weight
1.34 = x - 6.3 / 0.03
y = 6.34
Hence the two weights that separate the top 9% and the bottom 9% are 6.34 ounces and 6.26 ounces
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Multiply and reduce to lowest terms. Convert into a mixed number if necessary.
Answer correctly you get brainliest.
Answers
Answer:
Step-by-step explanation:
44/8
= 5 whole 4 by 8
= 5 4/8
Answer:
5/2 = 2.5
Step-by-step explanation:
will mark brainleist pls help
Answers
Answer:
x = 31°
Step-by-step explanation:
the sum of the 3 angles in a triangle = 180° , that is
x + 54° + 95° = 180°
x + 149° = 180° ( subtract 149° from both sides )
x = 31°
please help me im stuck
Answers
Answer: The mean is 6, mean also means the constence.
Step-by-step explanation:
6 is able to go into 10,20,30,40. But I maybe wrong, sorry if I am.
Please help me. The triangle below has an area of 30 in^2
Answers
30in^2 = (12in)x/2
60in^2 = (12in)x
x = 5in
Which of the following polynomial functions is graphed below?
A. f(x) = (x - 5)(x - 1)^2(x - 1)
B. f(x) = (x - 4)(x - 2)^2(x - 3)
C. f(x) = (x + 5)(x + 1)^2(x - 1)
D. f(x) = (x+4)(x-2)^2(x+3)
Answers
Answer:
correct answer is D
Step-by-step explanation:
just did it on apex
The polynomial functions is graphed below is f(x) = (x+4)(x-2)²(x+3).
What is a Polynomial Function ?A polynomial function is a function in an equation that contains only positive integer exponents or powers of a variable, such as the quadratic equation, cubic equation.
It is given that for the given graph plotted in the image , a correct polynomial function has to be determined .
When all the graphs are plotted for all the equations given in the options.
It can be seen that the equation in The Option D satisfies the image.
f(x) = (x+4)(x-2)²(x+3)
The image of the graph for the equation is attached.
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please help me, if you help then thanks!
Answers
Answer:
\( \frac{ - 8 {x}^{3} }{ {y}^{4} } \) (first option)
Step-by-step explanation:
\( \frac{ - 32 {x}^{5} {y}^{3} }{4 {x}^{2} {y}^{7} } \)
\( \frac{ - 8 {x}^{5} {y}^{3} }{ {x}^{2} {y}^{7} } = \frac{ - 8 {x}^{3} {y}^{ 3} }{ {y}^{7} } \)
\( = \frac{ - 8 {x}^{3} }{ {y}^{4} } \)
someone please help! (listing BRAINLIST and giving points) :)
Answers
thx thx thx thx thx thx thx sa points sabi mo give away eh
I hope this is help full to you
8. Write a paragraph proof.
Proof Given: In a plane, a is perpendicular to b, b id perpendicular to c, and c || d.
Prove: a || d
Answers
To prove that line segment a is parallel to line segment d, based on the given information, we can utilize the properties of perpendicular and parallel lines.
Given that a is perpendicular to b and b is perpendicular to c, we know that angles formed between a and b, as well as between b and c, are right angles. Let's denote these angles as ∠1 and ∠2, respectively.
Now, since c is parallel to d, we can conclude that the corresponding angles ∠2 and ∠3, formed between c and d, are congruent.Considering the fact that ∠2 is a right angle, it can be inferred that ∠3 is also a right angle.
By transitivity, if ∠1 is a right angle and ∠3 is a right angle, then ∠1 and ∠3 are congruent.Since corresponding angles are congruent, and ∠1 and ∠3 are congruent, we can deduce that line segment a is parallel to line segment d.
Thus, we have successfully proven that a is parallel to d based on the given information and the properties of perpendicular and parallel lines.
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3 problems for 1 final answer. fairly easy 8th grade math.
Answers
When we evaluate the given expression, A/5 + √(B - C), the result obtained is 9 (option B)
How do i determine the value of A/5 + √(B - C)?
First, we shall determine the value of A. Details below:
A = Product of roots in x² - 11x + 30Value of A =?Quadratic equation is expressed as:
x² - (sum of root)x + product of root
Comparing the above with x² - 11x + 30, we have
x² - 11x + 30 = x² - (sumof root)x + product of root
Product of roots = 30
Thus,
A = 30
Next, we shall determine the value of B. details below:
f(x) = x² + 5Value of B = f(2) =?f(x) = x² + 5
f(2) = 2² + 5
f(2) = 9
Thus,
B = 9
Next, we shall determine the value of C. Details below:
(x² - 2x - 24) / (x + 4)Value of C = Remainder =?Let
x + 4 = 0
Thus,
x = -4
Substitute the value of x into x² - 2x - 24 to obtain the remainder as shown below:
Remainder = x² - 2x - 24
Remainder = (-4)² - 2(-4) - 24
Remainder = 0
Thus,
C = 0
Finally, we shall determine value of A/5 + √(B - C). Details below:
A = 30B = 9C = 0Value of A/5 + √(B - C) =?A/5 + √(B - C) = 30/5 + √(9 - 0)
A/5 + √(B - C) = 6 + √(9
A/5 + √(B - C) = 6 + 3
A/5 + √(B - C) = 9
Thus, the value of A/5 + √(B - C) is 9 (option B)
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May you please help me with this I tried and tried to answer and still stuck
Answers
Answer:
Point E
Step-by-step explanation:
Can someone help me please I put the picture
Answers
Answer:
the answer is A or F (both are the same answer which is 40)