Consider the following linear function and graph it:y = 4x − 5y = _______x, y = ______
Answers
ANSWER:
y = -13
x, y = -2, 13
y = -5
x,y = 0, -5
y = 3
x, y = 2, 3
STEP-BY-STEP EXPLANATION:
We have the following function:
[tex]y=4x-5[/tex]We will choose some values of y and then calculate x and establish the point (x, y)
[tex]\begin{gathered} y=-13 \\ -13=4x-5 \\ 4x=-13+5 \\ x=-\frac{8}{4}=-2\rightarrow(-2,13) \\ \\ y=-5 \\ -5=4x-5 \\ 4x=0 \\ x=0\rightarrow(0,-5) \\ \\ y=3 \\ 3=4x-5 \\ 4x=5+3 \\ x=\frac{8}{4}=2\rightarrow(2,3) \end{gathered}[/tex]
Related Questions
Sabreena is playing a card game, and the odds of her winning after drawing the next card are 5:7.
What is the probability of her not winning?
Enter your answer as a decimal rounded to the nearest thousandth, like this: 0.423
Answers
Giving that her probability of winning is 5:7, Her Probability of not winning is; 0.286
What is the Probability of not winning?
According to binomial probability distribution, the probability is usually given by the formula;
P(X = x) = nCx * p^(x) * (1 - p)^(n - x)
where;
p is probability of success
n = number of trials, or the sample size
x = the number of "successes" in the probability
Now, we are told that the probability of winning in the next card is 5:7. Writing this in fraction form is 5/7.
Now, we know that percentage of winning + percentage of losing equals to 1. Thus;
Percentage of not winning + 5/7 = 1
Percentage of not winning = 1 - 5/7
Percentage of not winning = 2/7
In percentage form, this gives us;
2/7 * 100% = 28.57% = 0.286
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The length of a rectangle is 17 meters and the width is 12 meters. What is the perimeter of the rectangle? Do not include units in your answer.
Answers
We have that the perimeter is the addition of all the sides of the rectangle, so we have that
[tex]\begin{gathered} p=2\cdot l+2\cdot w \\ p=2\cdot17+2\cdot12 \\ p=34+24=58 \end{gathered}[/tex]I got 58 for my answer
A tablet and a digital camcorder are both on sale for 30% off. The regular price of the tablet is $185. The regular price of the camcorder is $140. Part A Find the sale price of the tablet. Explain. Part B What is the sale price of the camcorder?
Answers
Part A
We need to find the sale price of the tablet, i.e., after a discount of 30% was applied.
When we apply a discount rate d to a price P, the sale price S is given by:
[tex]S=(1-d)\cdot P[/tex]In this problem, the original price of the tablet, in dollars, is:
[tex]P=185[/tex]And the discount rate is:
[tex]d=30\%=\frac{30}{100}=0.3[/tex]Then, the sale price is given by:
[tex]S=(1-0.3)\cdot185=0.7\cdot185=129.5[/tex]Therefore, the sale price of the tablet is $129.50.
Part B
Now, we can use the same formula to find the sale price of the camcorder, using:
[tex]\begin{gathered} P=140 \\ d=0.3 \end{gathered}[/tex]We obtain:
[tex]S=(1-0.3)\cdot140=0.7\cdot140=98[/tex]Therefore, the sale price of the camcorder is $98.
Which relation shown is not a function?
O {(14, 15). (5. 7). (3. 10). (11, 1). (3.8)}
O {(1, 1), (2, 2), (3, 3), (4. 4), (5,4)}
O {(14, 15). (5, 7), (3, 10), (11, 1), (6, 10)}
O {(14, 15). (5. 15). (3. 15). (11, 15). (5, 15)}
Answers
Answer: the last one
Step-by-step explanation:
the easiest way to do this is the vertical line test. Graph the relation separately and then roll a pencil over each one. If the pencil touches two points at the same time, then it is not a function. Or you can look at the x inputs and if any are the same, it’s not a function.
I need help asap I will give a lot of point for it
Answers
Answer:
x = 65°
Step-by-step explanation:
I am having trouble with this equation & how to correctly use the [ & ) when it comes to writing in interval notation.
Answers
We need to solve the inequality:
[tex]4\left(2-x\right)>\left(5x-7\right)-\left(x-10\right)[/tex]In order to do so, we can expand the expressions on each side, then apply the same operations on both sides of the inequality until we isolate the variable x and find the solution.
By expanding the expression, we obtain:
[tex]\begin{gathered} 4(2)+4(-x)>5x-7-x-(-10) \\ \\ 8-4x>5x-x-7+10 \\ \\ 8-4x\gt4x+3 \end{gathered}[/tex]Now, adding 4x to both sides, we obtain:
[tex]\begin{gathered} 8-4x+4x>4x+3+4x \\ \\ 8>8x+3 \end{gathered}[/tex]Subtracting 3 from both sides, we obtain:
[tex]\begin{gathered} 8-3>8x+3-3 \\ \\ 5>8x \end{gathered}[/tex]Then, dividing both sides by 8, we obtain:
[tex]\begin{gathered} \frac{5}{8}>\frac{8x}{8} \\ \\ \frac{5}{8}>x \\ \\ x<\frac{5}{8} \end{gathered}[/tex]Notice that x must be less than 5/8. Thus, 5/8 does not belong to the solution set. We represent this using (..., ...) for interval notation (open interval). Also, since there is no beginning to the interval solution, we write -∞ in replacement of the left boundary of the set.
Therefore, the solution set is:
Answer
[tex]\left(-\infty,\frac{5}{8}\right)[/tex]5. Brandon has a stack of books sitting on his desk.
The first one has 10 pages, and the next one has
twice as many pages, 20 pages. The next one
has twice as many pages again, or 40 pages.
This pattern continues for eight books. How many
pages are in the eighth book?
Answers
The first one is 10 pages long, while the second one is 20 pages long. The second one has 40 pages, which is twice as much as the first. The eighth book has 1280 many pages.
Given that,
On his desk, Brandon has a stack of books.
The first one is 10 pages long, while the second one is 20 pages long. The second one has 40 pages, which is twice as much as the first.
For eight novels, this pattern is maintained.
We have to find the eighth book has how many pages.
We have to multiply 2
40 times 2=80
80 times 2 =160
160 times 2=320
320 times 2=640
640 times 2=1280
Therefore, the eighth book has 1280 many pages.
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Convert 1.6 x 10-2 to standard notation.
Answers
Recall that:
[tex]b\times a^{-x}=\frac{b}{a^x}.[/tex]Therefore:
[tex]1.6\times10^{-2}=\frac{1.6}{10^2}=\frac{1.6}{100}.[/tex]Simplifying the above result we get:
[tex]\frac{1.6}{100}=0.016.[/tex]Answer: 0.016.
In the diagram , AB and BC are both tangent to P
Answers
Since AB and BC are both tangent to the circle P, their length is the same.
So we have the following equation:
[tex]2x+7=31[/tex]Solving this equation for x, we have:
[tex]\begin{gathered} 2x=31-7 \\ 2x=24 \\ x=\frac{24}{2} \\ x=12 \end{gathered}[/tex]So the value of x is 12, therefore the correct option is the first one.
A person's stride length is the distance covered by one step. On average, a person's stride is
approximately 2.5 feet long. How many steps would the average person take to travel 50 feet?
Set up the division problem.
. What number is your dividend (the number being divided)?
O The dividend is
. What number is the divisor (the number doing the dividing)?
. The divisor is
4
Answers
Answer:
2.5 ft long= one step
1 ft long=1/2.5
50 ft= 50 x 1/2.5=20 steps
20 steps to travel 50 steps
Step-by-step explanation:
At a park, the jogging trail is a circle with a radius of 200 meters. How far is it around the trail? Use 3.14 for π
Answers
Given
At a park, the jogging trail is a circle with a radius of 200 meters.
To find: How far is it around the trail? (Use 3.14 for π).
Explanation:
It is given that,
The radius of the circular trial is 200meters.
Then, the length path around the trial is,
[tex]\begin{gathered} Circumference\text{ }of\text{ }circle=2\pi r \\ =2\times3.14\times200 \\ =4\times314 \\ =1256m \end{gathered}[/tex]Hence, the length of the path around the trial is 1256m.
1 Which of the following situations can be represented by 14? Circle all the correct answers. А Renee has 14 feet of ribbon that she will cut into 5 pieces of equal length. B. Michael has 14 packs of trading cards with 5 cards in each pack. C Logan opens S bags of trail mix, which she will split equally into 14 bowls. D Patrick takes 5 oranges from a bag containing 14 oranges E Tim walks 14 blocks from the library to a friend's house and then walks another 5 blocks to home. Arianna pours 5 equal servings of lemonade from a bottle containing 14 ounces. AA BB C C D D FF
Answers
Answer:
A.
F.
Explanation:
14/5 represents situation where we have 14 objects and we need to divide it in 5 equal parts. Therefore, these situations are
A. Renee has 14 feet of ribbon that she will cut into 5 pieces of equal lenght
F. Arianna pours 5 equal servings of lemonade from a bottle containing 14 ounces
For the first case, 14/5 will be the length of the pieces and for the second case 14.5 represents the amount of ounces in each serving.
Options1. is -2, -1, 2, 52. is subtract 25/2, add 25/2, subtract 25/4, add 25/4 and the second box is the same thing.6. is -5/2, -11/2, 5/2, 11/2.
Answers
Given the equation:
[tex]7=-2x^2+10x[/tex]Step 1: Factor -2 out of the variable terms
[tex]7=-2(x^2-5x)[/tex]Step 2: Divide both sides by -2.
[tex]\frac{7}{-2}=x^2-5x[/tex]The measure of ∠ABD is (0.19x+65)° and the measure of ∠CBD is (0.06x+50)°. Find the value of x.
Answers
Supplementary angles are those angles that add up to 180 degrees.
In this case, analyzing the figure shown in the exercise, you can identify that the angle ABD and the angle CBD are Supplementary angles.
Based on the explained above, you can set up the following equation:
[tex]m\angle ABD+m\angle CBD=180[/tex]Knowing that:
[tex]\begin{gathered} m\angle ABD=0.19x+65 \\ m\angle CBD=0.06x+50 \end{gathered}[/tex]You can substitute them into the first equation:
[tex](0.19x+65)+(0.06x+50)=180[/tex]Finally, solve for "x":
[tex]\begin{gathered} 0.19x+65+0.06x+50=180 \\ 0.25x+115=180 \\ 0.25x=180-115 \\ \\ x=\frac{65}{0.25} \\ \\ x=260 \end{gathered}[/tex]The answer is:
[tex]x=260[/tex]write 783.94 using exponential form
Answers
Answer:
62727262 is the awnser your welcome thank me later
Hello! I need answer 1 solved, for geometry this is a question sheet!
Answers
1) We have to solve for x.
We have a right triangle, so we can apply the Pythagorean theorem to relate the side lengths.
As x is the hypotenuse, we can write:
[tex]\begin{gathered} x^2=9^2+15^2 \\ x^2=81+225 \\ x^2=306 \\ x=\sqrt{306} \\ x\approx17.5 \end{gathered}[/tex]Answer: x = 17.5
If R^2 = 0.62, then how much of the sample variation is y
Answers
In equation [tex]r^{2}[/tex] = 0.62 we get the variation of r is [tex]r = \frac{\sqrt{62} }{10 } }[/tex] or [tex]r =- \frac{\sqrt{62} }{10 } }[/tex]
According to the question, given that
Variation [tex]r^{2}[/tex] = 0.62
Split into two equation
[tex]r = \sqrt{0.62}[/tex] or, [tex]r = -\sqrt{0.62}[/tex]
First equation
[tex]r = \sqrt{0.62}[/tex]
convert decimal to fraction
[tex]r =\sqrt{\frac{62}{100} }[/tex]
[tex]r =\sqrt{\frac{31}{50} }[/tex]
rewrite the expression using
[tex]\sqrt[n]{ab} = \sqrt[n]{a}* \sqrt[n]{b}[/tex]
[tex]r = \frac{\sqrt{31} }{\sqrt{50} }[/tex]
[tex]r = \frac{\sqrt{31} }{\sqrt{5^{2} * 2} }[/tex]
[tex]r = \frac{\sqrt{31} }{\sqrt{5^{2} * \sqrt{2} } }[/tex]
[tex]r = \frac{\sqrt{31} }{5 \sqrt{2} } }[/tex]
Rationalize the denominator
[tex]r = \frac{\sqrt{31}* \sqrt{2} }{5 \sqrt{2} * \sqrt{2} } }[/tex]
[tex]r = \frac{\sqrt{31}* \sqrt{2} }{5 *2} } }[/tex]
[tex]r = \frac{\sqrt{31}* \sqrt{2} }{10 } }[/tex]
[tex]\sqrt[n]{ab} = \sqrt[n]{a}* \sqrt[n]{b}[/tex]
[tex]r = \frac{\sqrt{31 *2} }{10 } }[/tex]
[tex]r = \frac{\sqrt{62} }{10 } }[/tex]
Second equation
[tex]r = -\sqrt{0.62}[/tex]
[tex]r =-\sqrt{\frac{31}{50} }[/tex]
[tex]r =- \frac{\sqrt{31} }{\sqrt{50} }[/tex]
[tex]r = - \frac{\sqrt{31} }{\sqrt{5^{2} * 2} }[/tex]
[tex]r = - \frac{\sqrt{31} }{\sqrt{5^{2} * \sqrt{2} } }[/tex]
rewrite the expression using
[tex]\sqrt[n]{ab} = \sqrt[n]{a}* \sqrt[n]{b}[/tex]
[tex]r = - \frac{\sqrt{31} }{\sqrt{5^{2} * \sqrt{2} } }[/tex]
[tex]r = -\frac{\sqrt{31} }{5 \sqrt{2} } }[/tex]
Rationalize the denominator
[tex]r = -\frac{\sqrt{31}* \sqrt{2} }{5 \sqrt{2} * \sqrt{2} } }[/tex]
[tex]r = -\frac{\sqrt{31}* \sqrt{2} }{5 *2} } }[/tex]
[tex]r = -\frac{\sqrt{31}* \sqrt{2} }{10 } }[/tex]
[tex]r = -\frac{\sqrt{31 *2} }{10 } }[/tex]
[tex]r =- \frac{\sqrt{62} }{10 } }[/tex]
[tex]r = \frac{\sqrt{62} }{10 } }[/tex] or [tex]r =- \frac{\sqrt{62} }{10 } }[/tex]
Therefore, equation [tex]r^{2}[/tex] = 0.62 we get the sample variation of r is [tex]r = \frac{\sqrt{62} }{10 } }[/tex] or [tex]r =- \frac{\sqrt{62} }{10 } }[/tex]
A relationship between a set of values for one variable and a set of values for other variables is known as a variation.
Direct variation
The function y = mx (commonly written y = k x), which is referred to as a direct variation, can be obtained from the equation y = mx + b if m is a nonzero constant and b = 0.
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12⋅(1/4+1/3)to the 2nd power+2/3
Answers
Answer: 19/4 or 4 3/4 or 4.75
Step-by-step explanation:
calculate the sum
12(7/12)^2+(2/3)
use the properties of exponents
12x(49/144)+(2/3)
simplify the expression
(49/12)+(2/3)
calculate the sum
19/4 or 4 3/4 or 4.75
have a GREAT day!!
I need to use the formula value, A = P(1 + rt), and elementary algebra to find the Principal
Answers
P= $1300
Explanation
when you have the rate, the time and the initial value , you can find the principial by using the formula
[tex]\begin{gathered} A=P(1+rt)^ \\ where\text{ P is the principal} \\ A\text{ is the amounnt} \\ r\text{ is the rate \lparen in decimal\rparen} \\ t\text{ is the number of periods} \end{gathered}[/tex]so
Step 1
a)let
[tex]\begin{gathered} A=1508 \\ r=4\text{ \%=}\frac{4}{100}=0.04 \\ t=4\text{ \lparen years\rparen} \end{gathered}[/tex]now, replace in the formula
[tex]\begin{gathered} A=P(1+r)^ \\ 1508=P(1+0.04*4) \\ 1508=P(1.16) \\ divide\text{ both sides by 1.16} \\ \frac{1,508}{1.16}=\frac{P(1.16)}{1.16} \\ 1300=P \end{gathered}[/tex]therefore, the answer is
P= $1300
I hope this helps you
Using the line of best fit, estimate a person's hourly rate when he or she has 5 years of experience.es )
Answers
It will be aproximately equal to 11$, because when you take x=5 then the heigh of the y coordinate will be aproximately equal to 11.
What is (-4x²-3x+8) subtracted from (2x2² + 5x - 7)?
Answers
Answer:
6x² + 8x - 15
Step-by-step explanation:
2x² + 5x - 7 - (- 4x² - 3x + 8) ← distribute parenthesis by - 1
= 2x² + 5x - 7 + 4x² + 3x - 8 ← collect like terms
= 6x² + 8x - 15
Answer:
[tex]6x^2+8x-15[/tex]
Step-by-step explanation:
Given expression:
[tex](2x^2+5x-7)-(-4x^2-3x+8)[/tex]
[tex]\textsf{Apply\:the\:distributive\:law}\quad \:-\left(-a-b\right)=a+b:[/tex]
[tex]\implies 2x^2+5x-7+4x^2+3x-8[/tex]
Collect like terms:
[tex]\implies 2x^2+4x^2+5x+3x-7-8[/tex]
Combine like terms:
[tex]\implies 6x^2+8x-15[/tex]
The question is below! I think the answer is: 10(8-i)
Answers
Notice that the GCD between 80 and 10 is 10. Therefore, we can factor the expression as following:
[tex]80-10i\rightarrow10(8-i)[/tex]QUICK ANSWERS ONLY! No graph* 39. What are three pairs of corresponding angles?A. angles 1 & 2, 3 & 8, and 4 & 7B. angles 1 & 7, 2 & 4, and 6 & 7C. angles 1 & 7, 8 & 6, and 2 & 4D. angles 3 & 4, 7 & 8, and 1 & 6
Answers
The "same side interior angle theorem" states: If a transversal intersects two parallel lines, each pair of same-side interior angles are supplementary (their sum is 180∘ ).
In the image uploaded, the same side interior angleS are 1 and 4, also 2 and 3.
Therefore, in the question, the same side interior angle is option B
Annual starting salaries for college graduates with degrees in business administration are generally expected to be between and . Assume that a confidence interval estimate of the population mean annual starting salary is desired. a. What is the planning value for the population standard deviation? b. How large a sample should be taken if the desired margin of error is ? Round your answers to next whole number. ? ? c. Would you recommend trying to obtain the margin of error? Explain.
Answers
Because of the very huge sample size, we do not advise attempting to acquire the $100 margin of error.
The annual starting salaries for college graduates with degrees are between $30,000 and $45,000.
The confidence interval is 95%.
The planning value of the population standard deviation is expressed as:
= ( 45000 - 30000 ) / 4
= 15000/4
= 3750
And, 95% confidence interval a is 0.05.
Using the standard normal table,
Z(0.025) = 1.96
(a) For error E = $500,
n = ( Z × S/E )²
n = ( 1.96 × 3750/500)²
n = 216.09 = 217
(b) For error E = $200,
n = ( Z × S/E )²
n = ( 1.96 × 3750/200)²
n = 1351
(c) For error E = $100
n = ( Z × S/E )²
n = ( 1.96 × 3750/100)²
n = 5403
Therefore, Due to the sample size being too huge, we do not advise attempting to achieve the $100 margin of error.
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Final and of the unknown side rania answer to the nearest whole number 7 mm to 7 mm what is the answer
Answers
Round to the nearest whole number means round the tenth digit to the one digit, so
Divide 1 by 2
1/2 = 0.5, so we will add 0.5 and subtract 0.5 from 7
7 - 0.5 = 6.5
7 + 0.5 = 7.5, so
[tex]6.5\text{ }\leq\text{ 7 mm <7.5}[/tex]You can choose any number between them
[tex]6.5\approx\text{ 7}[/tex][tex]7.49\approx\text{ 7}[/tex]How far is each planet from the st
Mercury-51,000,000
Venus-10000000
Earth-150000000
Susan said, "Venus is more than twice as far from the sun as Mercury is."
Is Susan correct? If so, write yes. If she is wrong, rewrite the statement to make it true.
You could change more to less, change the planets-do whatever you need to do to
make a TRUE statement for Susan.
Answers
A TRUE statement for Susan is: "Venus is less than twice as far from the Sun as Mercury is."
Given:
The distance of each planet from the Sun,
Mercury - 51,000,000
Venus - 10000000
Earth - 150000000
Susan said, "Venus is more than twice as far from the sun as Mercury is."
51,000,000 × 2 = 102,000,000
When we calculate twice the distance of Mercury from the Sun it is much greater than the actual distance of Venus from the Sun.
(102,000,000 > 10000000)
Hence, the statement is incorrect and so is Susan.
The correct statement should be:
"Venus is less than twice as far from the sun as Mercury is."
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Enter your answer as a number without units, like this: 42
Answers
Answer:
perimeter: 88
area: 246
Step-by-step explanation:
6 x 32 = 192
32 - 20 = 12 12 x 9 = 108 108 / 2 = 54
54 + 192 = 246
please help meeeee!!!!!
Answers
The S₄ is 3/125 .
A sequence could be a list of numbers that have been arranged sequentially whereas series can be exceedingly generalized as the sum of all the terms in a sequence be that as it may, there must be a clear relationship between all the terms of the sequence. An infinite arrangement is given by all the terms of an unbounded grouping, included together and the sum of the series is just adding the n number of terms
Since we are provided with an infinite series, where n starts from 0 till infinite.So we need to find the sum for 4 terms, just replacing the n in the given formula to 4
S⁴=3(1/5) ^(n-1)
= 3(1/5) ^(4-1)
= 3(1/5) ^3
= 3/125
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Question 19 of 25Which of these frequency counts would be represented by the tallest bar on ahistogram?OA. 15OB. 17O C. 18O D. 16SUBMIT
Answers
18 (option C)
Explanation:Given:
Frequency counts: 15, 17, 18, 16
To find:
the frequency count that would be represented by the tallest bar on a histogram
The tallest bar on a histogram is the highest frequency in a given set of dataset
We have been given 4 frequencies: 15, 17, 18, and 16
The highest value in the frequency is 18
Hence, the frequency count that will have the tallest bar on a histogram is 18 (option C)
the net of a rectangular prism is shown below each Square represents one square unit what is the total surface area of the cone
Answers
Given:
Area of each sqaure = 1 square unit
Let's find the total surface area of the net image.
From the image, the total number of squares we have is = 52.
The total surface area will be the total number of squares since each square represents one square unit.qu
We have 52 squares in total.
Therefore, the total surafce area of the rectangular prism is 52 square units.
ANSWER:
B. 52 square units
