13. a) Write 2 solutions of the equation 2x - 3y = 6
b) Write the equations two lines passing through the point (-3, 2)
Answer:
y=4/3x+6
Step-by-step explanation:
helpssssssssssssssssssssssssssssssssssssssssssssssssssss
please help with this question!
Answer: The first 3 options
Step-by-step explanation:
You have to make sure that the given variable would be able to equal -5. The \(\geq\) sign in the second and third answer show that the variable could be equivalent to -5.
Answer:
g > -7, f ≤ -5 and g ≥ -5
Step-by-step explanation:
the < and > symbols mean less than and greater than respectively, but not including. Therefore -5 cannot be a valid solution if the range is (for example) g > -5. However, ≤ and ≥ mean less/greater than or equal to, so -5 would be a valid solution for g ≥ -5 (for example).
help I can't figure this out
Answer:
distance: 2
midpoint: -4,-3
please show work 2. Which equation represents the line whose slope is 6 and whose y-intercept is 2?
A. y = 2x + 6
B. 2y + 6x = 0
C. y = 6x + 2
D. y + 2x = 6
We are given the line's slope and the line's y-intercept (the point where the line touches the y-axis)
It's easier to write the equation in Slope-Intercept Form, which looks like so:-
\(\boxed{y=mx+b}\)
where m -> slope of the line & b -> y-intercept
Instead of m, you should plug in 6:-
y=6x+b
Instead of b, you should plug in 2:-
y=6x+2 ✓
note:-Hope everything is clear; if you need any explanation/clarification, kindly let me know, and I will comment and/or edit my answer :)
Your bank account has -$21 in it and you deposit $6 per day. How much money is in your account after 4 days?
So the original amount of money in the bank account is given by a negative number: -$21. If you deposit $6 per day during four days then the total amount of money deposited by the fourth day is:
\(4\cdot\text{\$}6=\text{\$}24\)The total amount of money in the account is given by adding the deposited money to the original amount:
\(-\text{\$}21+\text{\$}24=\text{\$}3\)Then the answer is $3.
This is another question I have hope you can solve it.
Answer:
I think it's c.......
Step-by-step explanation:
i just took the test
Solve the system using elimination.
14y - 8x = 44
-7y = -x - 16
Answer:
The solution is x = -2 and y = 2.
Step-by-step explanation:
Given that:
14y - 8x = 44 Eqn 1
-7y = -x - 16 Eqn 2
In elimination method, you try to eliminate one variable in the equation by adding or subtracting.
Multiplying Eqn 2 by 2
2(-7y = -x - 16)
-14y=-2x-32
-14y+2x= -32 Eqn 3
Adding Eqn 1 and 3
(14y-8x)+(-14y+2x)=44+(-32)
14y-8x-14y+2x=44-32
-6x=12
Dividing both sides by -6
\(\frac{-6x}{-6}=\frac{12}{-6}\\x=-2\)
Putting x=-2 in Eqn 2
-7y=-(-2)-16
-7y=2-16
-7y=-14
Dividing both sides by -7
\(\frac{-7y}{-7}=\frac{-14}{-7}\\y=2\)
Hence,
The solution is x = -2 and y = 2.
PLEASE HELPPP! I HAVE 10 MINUTES!!!
The x and y-intercepts of the line equation 6x - 2y = -18 are ( -3,0 ) and ( 0,9 ) respectively.
How to determine the x and y-intercept from a line equation?Given the equation of line;
6x - 2y = -18x-intercept: ?y-intercept: ?To find the x-intercept, substitute in 0 for y in the equation and solve for x.
6x - 2y = -18
6x - 2(0) = -18
6x - 0 = -18
6x = -18
Divide both sides by 6
6x/6 = -18/6
x = -18/6
x = -3
Hence, x-intercept is ( -3,0 ).
To find the y-intercept, substitute in 0 for x in the equation and solve for y.
6x - 2y = -18
6(0) - 2y = -18
0 - 2y = -18
-2y = -18
Divide both sided by -2
y = -18 / -2
y = 9
The y-intercept is ( 0,9 ).
Therefore, option D is the correct answer.
Learn more about the intercepts of graphs here: https://brainly.com/question/14180189
#SPJ1
Find the equation of the straight line through the origin and at right angles to the line x ^ 2 - 5xy + 4y ^ 2 = 0
The equation of the straight line through the origin and at right angles to the line x² - 5xy + 4y² = 0 is y = (-5/4)x.
Given, the equation of the straight line is x² - 5xy + 4y² = 0. We need to find the equation of the straight line through the origin and at right angles to the line x² - 5xy + 4y² = 0.
Let's find the slope of the given line: x² - 5xy + 4y² = 0⇒ 4y² - 5xy + x² = 0. Comparing it with the standard form, we get, A = 4, B = -5, and C = 1.M = -A/B. Slope of the line is M = -4/-5 = 4/5.
We know that the product of the slopes of the two perpendicular lines is -1. Let's find the slope of the required line,m1 × m2 = -1(4/5) × m2 = -1m2 = -5/4. The slope of the required line is m = -5/4.
As the line passes through the origin, the equation of the line is of the form y = mx. On substituting the value of m, we get the required equation: y = (-5/4)x.
For more such questions on straight line
https://brainly.com/question/25969846
#SPJ8
Max wants to buy a guitar that costs 131.25 the sale tax rate in his town is 6.5% what is the total cost of the guitar
The total cost of the guitar including sales tax is $85.31
A sales tax is a tax levied on the sale of certain goods and services and paid to the government. In general, rules compel the seller to collect tax money from the buyer at the time of purchase.
The tax is added on the sale price and it is not apart of the profit.
Cost of the guitar = $131.25
Sales tax = 6.5%
Total cost of guitar = 6.5% of 131.25 = 0.65 × 131.25 = $85.31
A use tax is a levy on services or goods that a client pays directly to a governing body. Food, education, and medications are usually exempt from sales and use tax under state law.
Hence the total cost of the guitar is $85.31
To learn more about sales tax visit:
https://brainly.com/question/27092799
#SPJ1
given that 2p x 8q = 2n , express n in terms of p and q
Answer:
n = p+3q
Step-by-step explanation:
2^p x 8^q = 2^n
Exponent rules
Rewriting 8 as 2^3
2^p x 2^3^q = 2^n
Using the rule a^b^c = a^(b*c)
2^p x 2^3q = 2^n
Using the rule a^b * a^c = a^(b+c)
2 ^(p+3q) = 2^n
Since the bases are the same, the exponents are the same
p+3q = n
Answer:
\( \sf \: p + 3q = n\)
Step-by-step explanation:
\(2^p*8^q=2^n\)
First, write 8^q as a power of 2.
\(2^p*8^q=2^n\\2^p*2^3^q=2^n\)
As all the bases are same, exponents are also equal.
Now add the powers.
∴ p + 3q = n
x²+ 8x + 16 = 0
Step 1:
a = x
b = 8
C = 16
Plug into quadratic formula:
Step 2: Show work and solve
Step 3: Solution
x = -4
x =
Answer:
See below
Step-by-step explanation:
Solution with Quadratic Formula
\(x=\frac{-b\pm\sqrt{b^2-4ac}}{2a}=\frac{-8\pm\sqrt{8^2-4(1)(16)}}{2(1)}=\frac{-8\pm\sqrt{64-64}}{2}=\frac{-8}{2}=-4\)
Note that \(a=1,b=8,c=16\)
Solution with factoring (faster)
\(x^2+8x+16=0\\(x+4)^2=0\\x+4=0\\x=-4\)
Natalie had 20 lbs. of cat food. If she feeds
her cat 6 of a pound daily, how many days
will the food she has last?
Answer:
3 days
Step-by-step explanation:
20/6 is 3.333
Answer:
3 days
Step-by-step explanation:
cuz after three days you will have two pounds left so you cant go another day
HELP WILL MARK YOU BRAINLIEST, PLS I NEED ASAP
Answer:
Pizza 1: lenght(l)=16 and width(w)=4
Perimeter=40in.
Pizza 2: l=32 and w=2
Perimeter=68in.
Step-by-step explanation:
1. List down factors of 64.
64=1,2,4,8,16,32,64
2. Select the factors you'll be using to draw your rectangles. In this case I selected the factors 2,4,16 and 32 because area of rectangle=l×w. Therefore 2×32=64 and 4×16=64.
3. Draw your rectangles according to the measurements you chose. If the drawing is too big to fit the box you can simply use a scale. Such as 1 inch=4 inches on your drawing. For example, when drawing the length of the second Pizza which is 32in. you can simply draw a line of 8 inches.
4. After drawing your pizzas you niw have to find the Perimeter of both. Simply use the formula Perimeter of a rectangle=2(l+w)
Pizza 1: Perimeter=2(16+4)
=2×20
=40in.
Now do the same for Pizza 2 using its own lengjt and width. Hope this helped.
The graph shows a proportional relationship between the cost of grapes, in dollars, and the number of pounds of grapes.
Answer:
where is the picture
Step-by-step explanation:
Answer:
where's the picture?
Step-by-step explanation:
HELP pls will mark brainliest
Answer:
y = 20x +22
Step-by-step explanation:
The mayors office wants to know how people in the city feel about the condition of the city's roads. They place an announcement in the newspaper asking residents to email their opinions to the mayor's office. Five hundred people send e als and about 84% of the responses indicate displeasure with the condition of the city's roads A) This is a simple random sample. It gives very accurate results B) This is a simple random sample. The resuits are not biased, but the sample is so small that variation will be high s a census because all city residents had a chance to provide their opinions. Itgives very accurate results. C)This is a voluntary response sample. It will almost certainly overestimate the level of displeasure the city's residents. D) This is a voluntary response sample. It wil almost certainly underestimate the level of displeasure among sample. It will almost certainly underestimate the level of displeasure among the city's residents
Answer:
D) This is a voluntary response sample. It will almost certainly overestimate the level of displeasure among the city's residents.
The sample is voluntary response because the residents themselves chose whether or not to respond to the announcement in the newspaper. This type of sampling is often biased because those who choose to respond may not be representative of the entire population. In this case, those who are particularly unhappy with the condition of the city's roads may be more likely to respond, while those who are satisfied with the roads may not feel the need to respond. Therefore, the sample is likely to overestimate the level of displeasure among the city's residents.
give thanks and rate5* po! your welcome!
A high-speed train travels at a speed of 200km/h. If the train sets off from Station A at 12 24 and reaches station B at 14 12, find the distance between the two stations.
Given:
Speed to train = 200km/h
The train sets off from Station A at 12:24.
Reaches station B at 14:12.
To find:
The distance between both stations.
Solution:
We have,
Speed to train = 200km/h
Time taken by the train to cover the distance between station A and station B is the difference between 14:12 and 12:24.
Time = 1 hr 48 min
Time = 1.8 hours [ 1 hr = 60 minutes]
Let d be the distance between both stations.
We know that,
\(Speed=\dfrac{Distance}{Time}\)
\(200=\dfrac{d}{1.8}\)
\(200\times 1.8=d\)
\(360=d\)
Therefore, the distance between the two stations is 360 km.
As a last step before Mario hits send on a company press release, what should he to ensure it is accurate?produce an outline to organize the content in the documentdouble-check all spellings and numbers in the documentevaluate the logic and persuasiveness of the documentchange the font that is used in the document
Mario should proofread the press release to catch any typos or errors, ensure all numbers and spellings are correct, and make sure the content is logical and persuasive.
Mario should begin by producing an outline to organize the content of the document and make sure it follows a logical flow. He should then double-check all spellings and numbers in the document to ensure accuracy. He should then evaluate the logic and persuasiveness of the document to make sure it conveys the information effectively. Lastly, he should change the font that is used in the document to make it more visually appealing. By following these steps, Mario can ensure that the press release is accurate and effective.
Learn more about numbers here
https://brainly.com/question/13583801
#SPJ4
You measure 20 randomly selected textbooks' weights, and find they have a mean weight of 45 ounces. Assume the population standard deviation is 8.6 ounces. Based on this, construct a 95% confidence interval for the true population mean textbook weight.
There are 95% confident that the true population mean textbook weight lies between 41.231 and 48.769 ounces, based on the sample of 20 randomly selected textbooks with a mean weight of 45 ounces.
We can use the formula to calculate the confidence interval:
Confidence interval = Sample mean ± (Z-score x Standard error)
First, we need to find the Z-score for the 95% confidence interval, which is 1.96.
The standard error is calculated as the population standard deviation divided by the square root of the sample size:
Standard error = Population standard deviation / sqrt(sample size)
Standard error = 8.6 / √(20)
Standard error = 1.923
Now we can substitute the values into the formula:
Confidence interval = 45 ± (1.96 x 1.923)
Confidence interval = 45 ± 3.769
Confidence interval = (41.231, 48.769)
Therefore, we can be 95% confident that the true population mean textbook weight lies between 41.231 and 48.769 ounces, based on the sample of 20 randomly selected textbooks with a mean weight of 45 ounces.
Learn more about the standard deviation visit:
https://brainly.com/question/475676
#SPJ4
Each histogram represents a set of data with a median of 29.5. Which set of data most likely has a mean that is closest to 29.5?
A graph shows the horizontal axis numbered 9 to 48. The vertical axis is numbered 1 to 5. The graph shows an upward trend from 1 to 33 then a downward trend from 33 to 45.
A graph shows the horizontal axis numbered 15 to 48. The vertical axis is numbered 1 to 5. The graph shows an upward trend from 1 to 30 then a downward trend from 30 to 45.
A graph shows the horizontal axis numbered 12 to 56. The vertical axis is numbered 2 to 8. The graph shows an upward trend from 1 to 32 then a downward trend from 32 to 56.
A graph shows the horizontal axis numbered 15 to 54. The vertical axis is numbered 1 to 5. The graph shows an upward trend from 1 to 24, a downward trend from 24 to 27, an upward trend from 27 to 30, a downward trend from 30 to 39, an upward trend from 39 to 45, a downward trend from 45 to 48, then an upward trend from 48 to 51.
To determine which set of data most likely has a mean closest to 29.5, we need to analyze the shape and position of the histograms in relation to the value 29.5.
Looking at the histograms described:
The first histogram ranges from 9 to 48, and the upward trend starts from 1 and ends at 33, followed by a downward trend. This histogram suggests that there may be values lower than 29.5, which would bring the mean below 29.5.
The second histogram ranges from 15 to 48, with an upward trend from 1 to 30 and then a downward trend. Similar to the first histogram, it suggests the possibility of values lower than 29.5, indicating a mean below 29.5.
The third histogram ranges from 12 to 56, and the upward trend starts from 1 and ends at 32, followed by a downward trend. This histogram covers a wider range but still suggests the possibility of values below 29.5, indicating a mean below 29.5.
The fourth histogram ranges from 15 to 54 and exhibits multiple trends. While it has fluctuations, it covers a wider range and includes both upward and downward trends. This histogram suggests the possibility of values above and below 29.5, potentially resulting in a mean closer to 29.5.
Based on the descriptions, the fourth histogram, with its more varied trends and wider range, is most likely to have a mean closest to 29.5.
For such more question on histograms
https://brainly.com/question/2962546
#SPJ8
Someone please help me answer this question
Answer:
reeeeeeeeeeeeeeeeeeeeeeeeeeeeeeee
Step-by-step explanation:
need help to solve please
Answer:
\(\displaystyle m\angle RTU=73^\circ\)
Step-by-step explanation:
Interior Angle of a Circle
An interior angle of a circle is formed at the intersection of two lines that intersect inside a circle.
Lines AC and BD of the figure attached below intersect forming arcs p and q. The measure of the interior angle x is:
\(\displaystyle x=\frac{p+q}{2}\)
The question includes the drawing of a circle with lines US and RV intersecting at point T. The measure of the interior angle RTU is:
\(\displaystyle m\angle RTU=\frac{68^\circ+78^\circ}{2}\)
\(\displaystyle m\angle RTU=\frac{146^\circ}{2}\)
\(\boxed{\displaystyle m\angle RTU=73^\circ}\)
Evaluate f(1/2) if f(x)=-3x^3 + 2x^2. Enter fractions using “/“
f(1/2)=
simplify:6(y^2)^2(x^-2y)^-1 /3x^-3 y^5
plz helpers -5 - (x + y) / 2
Answer:
6
Step-by-step explanation:
In un triangolo l'area misura v3 (1 + V3) e e due angoli hanno ampiezze 45° e 60°. Calcola le misure degli altri elementi del triangolo. aiuto per favore
Step-by-step explanation:
non saprei fome risolvere
just need this is it thanks very much
The maximum profit that the florist will earn from selling celebration bouquets is $675.
The maximum is given by the vertex of the graph.The florist will break even after 20 one-dollar increases.
Break-even is when profit is zero.The interval of the number of one-dollar increases for which the florist makes a profit from celebration bouquets is \((0,20)\).
To make a profit, \(P(x)>0\).
Complete sentence.
48 c = ____ gal
Answer:
The correct answer is 48 c = 12 gal
Answer:12
Step-by-step explanation: