Solve the system of equations.
12x-5y = -20
y =x+4
Answers
Answer:
1. 12x-5y = -20 Answer: 2(picture)
2. y =x+4 Answer: 1(picture)
Step-by-step explanation: Hope this help :D
Related Questions
Find the distance between the points (-4, 3) and (3, 3).
Answers
Answer:
great job
Step-by-step explanation:
An article in Technometrics (Vol. 19, 1977, p. 425) presents the following data on the motor fuel octane ratings of several blends of gasoline:
88.5 98.8 89.6 92.2 92.7 91.8 91.0 91.0 94.7 88.3 90.4 83.4 87.9 88.4 87.5 90.9 84.3
90.4 91.6 91.0 93.0 92.6 87.8 89.9 90.1 91.2 90.7 88.2 94.4 93.7 88.3 91.8 89.0 90.6
88.6 88.5 90.4 96.5 89.2 89.7 89.8 92.2 88.3 93.3 91.2 84.3 92.3 92.2 91.6 87.7 94.2
87.4 91.2 93.2 88.9 90.3 91.1 85.3 91.1 86.7 88.6 89.8 90.0 86.7 90.1 90.5 94.2 88.7
92.7 91.5 93.4 89.3 100.3 90.8 92.7 93.3 89.9 96.1 91.1 87.6 90.1 89.3 86.7
Required:
Construct a stem-and-leaf display for these data. Calculate the median and quartiles of these data.
Answers
Answer:
[tex]Median = 90.4[/tex]
[tex]Q_1 = 88.6[/tex]
[tex]Q_3 = 92.2[/tex]
Step-by-step explanation:
Given
The above data
Required
- A stem and leaf display
- The median
- The quartiles
First, determine the range of the data
[tex]Smallest = 83.4[/tex]
[tex]Highest = 100.3[/tex]
Next, group each dataset base on common whole numbers.
So, we have:
[tex]83.4[/tex]
[tex]84.3\ 84.3[/tex]
[tex]85.3[/tex]
[tex]86.7\ 86.7\ 86.7[/tex]
[tex]87.4\ 87.5\ 87.6\ 87.7\ 87.8\ 87.9[/tex]
[tex]88.2\ 88.3\ 88.3\ 88.3\ 88.4\ 88.5\ 88.5\ 88.6\ 88.6\ 88.7\ 88.9[/tex]
[tex]89.0\ 89.2\ 89.3\ 89.3\ 89.6\ 89.7\ 89.8\ 89.8\ 89.9\ 89.9[/tex]
[tex]90.0\ 90.1\ 90.1\ 90.1\ 90.3\ 90.4\ 90.4\ 90.4\ 90.5\ 90.6\ 90.7\ 90.8\ 90.9[/tex]
[tex]91.0\ 91.0\ 91.0\ 91.1\ 91.1\ 91.1\ 91.2\ 91.2\ 91.2\ \ 91.5\ 91.6\ 91.6\ 91.8\ 91.8[/tex]
[tex]92.2\ 92.2\ 92.2\ 92.3\ 92.6\ 92.7\ 92.7\ 92.7[/tex]
[tex]93.0\ 93.2\ 93.3\ 93.3\ 93.4\ 93.7[/tex]
[tex]94.2\ 94.2\ 94.4\ 94.7[/tex]
[tex]96.1\ 96.5[/tex]
[tex]98.8[/tex]
[tex]100.3[/tex]
Next, we construct the stem and leaf plot.
The whole numbers will be the stem while the decimal parts will be the leaf.
So, we have:
[tex]\begin{array}{ccc}{Stem} & {} & {Leaf} & {83} & {|} & {.4} & {84} & {|} & {.3\ .3} & {85} & {|} & {.3} & {86} & {|} & {.7\ .7\ .7} & {87} &{|} & {.4\ .5\ .6\ .7\ .8\ .9} & {88} & {|} & {.2\ .3\ .3\ .3\ .4\ .5\ .5\ .6\ .6\ .7\ .9} &{89} & {|} & {.0\ .2\ .3\ .3\ .6\ .7\ .8\ .8\ .9\ .9} & {90} & {|} &{.0\ .1\ .1\ .1\ .3\ .4\ .4\ .4\ .5\ .6\ .7\ .8\ .9} & {91} &{|}&{.0\ .0\ .0\ .1\ .1\ .1\ .2\ .2\ .2\ .5\ .6\ .6\ .8\ .8} &{92} &{|} &{.2\ .2\ .2\ .3\ .6\ .7\ .7\ .7} \ \end{array}[/tex]
[tex]\begin{array}{ccc} {93} & {|} & {.0\ .2\ .3\ .3\ .4\ .7} & {94} &{|} & {.2\ .2\ .4\ .7} &{96} & {|} & {.1\ .5} & {98} & {|} & {.8} & {100} &{|} &{.3} \ \end{array}[/tex]
From the above plot,
[tex]n = 83[/tex]
The median is calculated as:
[tex]Median = \frac{n+1}{2}th[/tex]
[tex]Median = \frac{83+1}{2}th[/tex]
[tex]Median = \frac{84}{2}th[/tex]
[tex]Median = 42nd[/tex]
i.e. the median is at the 42nd position.
From the above stem and leaf plot.
The 42nd position is at stem 90 and the leaf .4
So the median is:
[tex]Median = 90.4[/tex]
The lower quartile (Q) is calculated as:
[tex]Q_1 = \frac{n+1}{4}th[/tex]
[tex]Q_1 = \frac{83+1}{4}th[/tex]
[tex]Q_1 = \frac{84}{4}th[/tex]
[tex]Q_1 = 21st[/tex]
i.e. the lower quartile is at the 21st position.
From the above stem and leaf plot.
The 42nd position is at stem 88 and the leaf .6
So the lower quartile is:
[tex]Q_1 = 88.6[/tex]
The upper quartile (Q3) is calculated as:
[tex]Q_3 = 3 * \frac{n+1}{4}th[/tex]
[tex]Q_3 = 3 * \frac{83+1}{4}th[/tex]
[tex]Q_3 = 3 * \frac{84}{4}th[/tex]
[tex]Q_3 = 3 * 21th[/tex]
[tex]Q_3 = 63rd[/tex]
i.e. the upper quartile is at the 63rd position.
From the above stem and leaf plot.
The 63rd position is at stem 92 and the leaf .2
So the upper quartile is:
[tex]Q_3 = 92.2[/tex]
last two ahh helpp quick
Answers
Answer:
the perimeter is 30ft
Step-by-step explanation:
a square + b square = c square
so first we find your missing side
this is how we solve for that:
a square + 12 squared = 13 squared
a squared + 144 = 169
now we do 169 - 144 = 25
now to find the missing side it is 25 square root which is 5
now that we have found the missing side lengths let's find the perimeter which is: 5 + 12 + 13 = 30 ft
I hope this helped!
You earn $180 in interest over 8 months at 3%. How much did you invest?
Answers
Answer:
19.44 (I think)
Step-by-step explanation:
Solve –9.4 Greater-than-or-equal-to 1.7x + 4.2.
Answers
Answer:
x≤-8
Step-by-step explanation:
Answer:
x ≤ -8
Step-by-step explanation:
Good Luck!
help me with this math assignment please
Answers
Answer:
A.
1. No
2. Yes, 6*6=36
3. Yes, 7*7=49
4. No
5. Yes, 11*11=121
6. Yes, 13*13=169
7. Yes, 20*20=400
8. No
B.
1. 8
2. 10
3. 9
4. 4
5. 2
6. 0
7. 5
8. 12
C.
1. 11.4
2. 2.8
3. 9.2
4. 6.3
5. 4.9
6. 10.5
D.
1. rational
2. rational
3. irrational
4. rational
5. irrational
6. irrational
7. rational
8. rational
9. rational
10. rational
11. irrational
12. irrational?
Answer:
A1. No (4 more than 4²)
A2. Yes - 6 * 6 = 36
A3. Yes - 7 * 7 = 49
A4. No (4 more than 8²)
A5. Yes - 11 * 11 = 121
A6. Yes - 13 * 13 = 169
A7. Yes - 20 * 20 = 400
A8. No (6 more than 12²)
B1. 8
B2. 10
B3. 9
B4. 4
B5. 2
B6. 0
B7. 5
B8. 4
C1. 11.4
C2. 2.8
C3. 9.2
C4. 6.3
C5. 4.9
C6. 10.5
D1. Rational
D2. Rational
D3. Irrational (closest rational (2 decimal places) is -1.41)
D4. Rational
D5. Irrational (closest rational (2 decimal places) is 2.23)
D6. Irrational (closest rational (2 decimal places) is 3.14)
D7. Rational
D8. Rational (simplifies to 4)
D9. Rational
D10. Rational (same as 0.75)
D11. Irrational (because of the dots)
D12. Rational (5/13 pattern goes like this: 384615)
Please!!!!! HELP!!!!!!!!!
Answers
1. ( 5cm / 2km ) = ( xcm / 5km )
5*5 = 2x
25 = 2x
12,5cm = x
2. similar to (1) but having x as the km and 2 as the cm
5x = 2*2
x = 0,8 km
3. 192:2 to find the ratio of 1 cm to multiply by the length of the map
96*8.125=780cm
4. the are is (base*length)/2
use the same logic of (3) to find the real length of base
5*96=480cm
so for the the area (480*780)/2= 187200cm^2
please help me with this question
Answers
Answer:
y = -2x + 4
Step-by-step explanation:
To write an equation in slope-intercept form, y = mx + b, we need to find the slope (m) and the y-intercept (b).
✔️Slope (m) using two pairs of values, (0, 4) and (1, 2):
Slope (m) = change in y/change in x
m = (2 - 4)/(1 - 0) = -2/1
m = -2
✔️y-intercept is the value of y when x = 0. Therefore, fromm the table, when x = 0, y = 4.
y-intercept (b) = 4
✅Write the equation by substituting m = -2 and b = 4 into y = mx + b:
Thus,
y = -2x + 4
URGENT giving 100 pts no links no fakes give evidence srong answers or gueses will be reported
Answers
Answer:
C. The IQR is the best measure of variability because the distribution has an outlier.Step-by-step explanation:
We see 75% of data lies in the interval 0 - 48, and the 120 is the outlier.
We wouldn't use the range as it won't be a representation of variability.
The best measure would be IQR:
The interquartile range is the best measure of variability for such a distribution. Because it's based on values that come from the middle half of the distribution, and not influenced by outliersCorrect choice is C.
A law firm ordered 90 boxes of paper clips. There were 80 paper clips in each box. How many
paper clips did the law firm order in all?
Answers
Answer:
7200
Step-by-step explanation:
80*90=7200
Answer:
7,200 paper clips
Step-by-step explanation:
80*90=7,200
Pls answer fast pls pls pls pls
Answers
Answer:
13.93
Step-by-step explanation:
use the Pythagorean theorem
Anna is 9 years old, and this year she received $10 from her aunt on her birthday. Her aunt has told
her that she will send $10 every birthday from now on. Which function best describes how much
money, M, Anna will have received from her aunt, in total, given how many years, y, have passed
since her 9th birthday?
O M(y) = 10y
OM(y) = 10y + 10
O M(y) = 10y - 10
M(y) = y + 10
Answers
Answer:
[tex]M(y)=10y+10[/tex]
Step-by-step explanation:
what is the formula of finding sqare rood?
Answers
Answer:
Hi there your question was a little confusing
well I'm using a formula this [tex]X=\sqrt{Y}[/tex]
Hope this helps :)
Step-by-step explanation:
Answer:
[tex] \huge\green{ \mid{ \underline{ \overline{ \tt ♡ ANSWER ♡ }} \mid}}[/tex]
There's no specific formula to find the square root of a number, however we can find the square root of a number by the following methods:
i) By Prime Factorisation
ii) By Long Division
iii) By Repeated subtraction method
✏ By Prime Factorisation:Step I: Obtain the given number.
Step II: Reduce the given number into prime factors by successive division.
Step III: Now make pairs of prime factors in such a way that both the factors in each pair are equal.
Step IV: Take one factor from each pair and find the product of these factors.
Step V: The product obtained by multiplying the factors is the required square root.
✏ Long Division:Step 1: Firstly, we place a bar on every pair of digits starting from the unit digit. If the number of digits in it is odd, we put a bar on the single-digit too.
Step 2: Now we find the largest number whose square is less than or equal to the 1st number.
Step 3: Now we bring down the next bar number.
Step 4: For new divisor, we add the divisor & quotient.
Step 5: Number taken is the product of a new divisor and this digit is equal to or less than the new dividend.
✏ Repeated subtraction method:In this method, the given number is subtracted by 1, 3, 5, 7,… at every step till you get zero at the end. The number of steps in the solution is the required square root.
ʰᵒᵖᵉ ⁱᵗ ʰᵉˡᵖˢ
please simplify (2x) ²
Answers
Answer:
[tex]4x^{2}[/tex]
Step-by-step explanation:
Answer:
4[tex]x^{2}[/tex]
Step-by-step explanation:
Apply the product rule to 2x.
[tex]2^{2}[/tex] [tex]x^{2}[/tex]
Raise 2 to the power of 2.
[tex]4x^{2}[/tex]
A piecewise function is given.
Find f(-4)
Answers
Answer:
3
Step-by-step explanation:
For x<=0, f is constant: f(x) =3
-4<0, so f(-4)=3
What the volume? help
Answers
Answer:
7 yd^3
Step-by-step explanation:
The Volume is:
V=a*b*c
a=7*(1/3) yd
b=3*(1/3) yd
c=9*(1/3) yd
So, V=7 yd^3
Jamie buys a new fish tank, which is 55 cm long, 25 cm wide and 40 cm high. He needs
to fill the tank with water that has to be 35 cm deep. How much water does he need to fill
the tank, if 1000 cm = 1 litre? Give your answer rounded to the nearest litre.
Answers
Answer:
0.155litre
Step-by-step explanation:
55+25+40+35=155cm
100Cm=1litre
155cm_ ?
155cm×1litre/1000cm
0.155Litre
Select the compound inequality shown on the graph. -5 -4 -3 -3 -2 -1 0 1 2 3 4 5 5 o A. x>-1 and x 4, or -1 -1 and x < 2, or -1 -1 and x = 5, or -1
Answers
Answer:
c
Step-by-step explanation:
c is the only one containing the number three, which is shown on the graph.
The volume of the rectangular prism is 312 cm2 h 4 cm 6 cm What is the height of the prism? Height = cm
Answers
Answer:
h=13
Step-by-step explanation:
volume=w*h*l
312=(4)(6)(X)
You invest $25,000 at 12% for 30 years, find the total balance
Answers
Answer:
115000
Step-by-step explanation:
25000 x .12 = 3000
3000 x 30 = 90000
90000 + 25000 = 115000
Pls help me if u cannnnnnnnnnnnnnnnnnnnnnnn
Answers
Answer:
1436.03 m³
Step-by-step explanation:
The formula of volume of sphere
[tex] = \frac{4}{3} \pi {r}^{3} [/tex]
The volume of the sphere
[tex] = \frac{4}{3} \times 3.14 \times {(14 \div 2)}^{3} [/tex]
[tex] = \frac{4}{3} \times 3.14 \times {7}^{3} [/tex]
[tex] = \frac{4308.08}{3} [/tex]
[tex] = 1436.0266667...[/tex]
= 1436.03 m³ (rounded to the nearest hundredth)
help mee please adadad
Answers
Answer:
I'm not sure if it is the correct answer but I believe it is 14
Answer:
14 i think
Step-by-step explanation:
Which equation will create a system of equations with infinitely many solutions?
A) 3x - y=5
B) -3x +y=5
C) 12x + 4y = 20
D) 12x - 4y= 20
Answers
Answer:
A and D
Step-by-step explanation:
for infinitely many solutions, ratio of coefficients should be equal.
since ratio = 1/4 so they will have infinitely many solutions.
why is 1/2 + 3/8 not equal to 4/10
Answers
1/2 would equal 4/8 so add that to 3/8 to get 7/8.
I’m not sure if this is what you wanted but uh
Question 5 of 10
The function f(x) = 2X is shifted 4 units left. The result is g(x). What is g(x)?
O A. g(x) = 2x + 4
O B. g(x) = 2X – 4
C. g(x) = 2x - 4
D. g(x) = 2x + 4
Answers
Answer:
None
See below under Remark.
Step-by-step explanation:
When you shift left, you think of moving in the negative direction. But it is not shown that way. You need to show what happens when you substitute a value in for x. Usually a graphing program helps to show which choice is right.
g(x) = f(x+4) = 2(x + 4)
None of the choices are this result, so we have to assume that the brackets were just omitted. The graph below shows what the answer given is the correct one.
Remark
Look at the graph carefully. The red line is f(x) = 2x
The blue line is g(x) = f(x-4) = 2(x - 4)
Notice that g(x) has shifted 4 units to the left. The x intercept has gone from 0,0 to (-4,0) and is so labeled.
If you have an answer with brackets around (x + 4) that's the one you choose. It needs the 2 outside the brackets.
What is the value of f(3) in the function below?
F(x) = 1/4 • 2^x
Answers
Answer:
Value is 2
Step-by-step explanation:
f(3)= 1/4 x 2^(3) ------- 2 x 2 x 2= 8
1/4 x 8 = 8/4 = 2
F(x) = 2x + 3, Find the value of f(4)
Answers
Answer:
f(X)=2x+3
Step-by-step explanation:
f(4) = 2*4 + 3
= 8 + 3
= 11
Answer and Step-by-step explanation:
For this function, we need to plug in 4 for x to find out what the value of f(x) is when x is equal to 4.
f(4) = 2(4) + 3
= 8 + 3
= 11
The answer is 11, when the value is f(4).
#teamtrees #PAW (Plant And Water)
The volume of a cuboid is 450cm3.
The length is 10cm and the width is 15cm.
Work out the height of the cuboid.
Answers
Answer:
3cm
Step-by-step explanation:
The formula for the volume of the cuboid is [tex]w*l*h=volume[/tex]
We already have the length, width, and volume, so we have to plug it in to the equation.
[tex]15*10*h=450[/tex] (Just a heads up in case you didn't know: the centimeters cubed is just part of the units, so you don't need to worry about it when plugging it in to the equation.)
To solve for h:
1. Multiply 15 and 10
[tex]150*h=450[/tex]
2. Divide both sides by 150
[tex]h = 450/150[/tex]
h = 3
This is in centimeters, so the final answer is 3cm.
The height of a cuboid with a volume of 450cm³ with a length of 10cm and width of 15cm is 3cm.
How to calculate volume?The volume of a cuboid can be calculated using the following formula:
Volume = length × width × height
According to this question, the volume of a cuboid is 450cm³ and has a length of 10cm and the width is 15cm. The height is as follows:
450cm³ = 15cm × 10cm × h
450cm³ = 150²h
h = 450/150
h = 3
Therefore, the height of a cuboid with a volume of 450cm³ with a length of 10cm and width of 15cm is 3cm.
Learn more about height at: https://brainly.com/question/1578538
PLEASE HELP EXTRA POINTS AND BRAINLIEST, NO LINKS
The dot plot below shows the number of excused absences students in Mr. Beckett's class have.
What is the median number of excused absences?
A. 2
B. 3
C. 2.5
D. 1.5
Answers
Answer:
D. 1.5
Step-by-step explanation:
The median number of excused absences from given data is 1.5.
We have given that,
The dot plot below shows the number of excused absences students in Mr. Beckett's class have.
We have to determine the median
What is the median?
The median is the value separating the higher half from the lower half of a data sample, a population, or a probability distribution. For a data set, it may be thought of as the middle value.
Therefore the median number of excused absences from given data is 1.5.
Therefore option D is correct.
To learn more about the median visit:
https://brainly.com/question/26151333
#SPJ2
Simplify:
5.5 + 7 [(6.3 + 2.1) X 4+ (10 – 4) = 21
Answers
Answer:
x=4√−0.45068027,−4√0.45068027
Step-by-step explanation: