Answer:
x=4 and y=−2
Step-by-step explanation:
1. 3(−7x−8y=−12)
−4(4x−6y=28)
2. −21x−24y=−36
−16x+24y=−112
3. divide
4. Substitute 4 for x in−7x−8y=−12:
(−7)(4)−8y=−12
5. −8y−28+28=−12+28
divide 8 to 16
y=-2
Answer:
(4, -2)Step-by-step explanation:
Given system:
-7x - 8y = -12 4х - 6у = 28Simplify the second equation:
2x - 3y = 14Solve the system by elimination, multiply the first equation by 2 and the second equation by 7 and add up. Solve for y:
-7x(2) - 8y(2) + 2x(7) - 3y(7) = -12(2) + 14(7)-16y - 21y = -24 + 98-37y = 74y = -74/37y = -2Find x using the second equation:
2x - 3(-2) = 142x = 14 - 62x = 8x = 4Solution is (4, -2)
un autobús A hace recorrido cada 8 días y otro autobús B lo hace cada 10 días. Si coinciden en su salida en la central de autobuses el día 20 de noviembre ¿Cuando volverán a coincidir??
ayuda por favor es para hoy
Answer:
R/= se volveran a encontrar el 30 de diciembre
Step-by-step explanation:
voy a sacar el m.c.m :
8 10 =2
4 5 =2
2 5 =2 2x2x2x5= 8x5 =40
1 5 = 5
1 1 =
(8p-2)(6p+2)
multiplying polynomials please help me
Answer:
48p2+4p-4
Step-by-step explanation:
Answer:
48p² +4p -4
Step-by-step explanation:
A polynomial of two terms is called a 'binomial'.
Here, we are multiplying 2 binomials.
This is so common, there is a standard way to do it. The method is called FOIL, which means "firsts, outsides, insides, then lasts"
You do it like this:
multiply the 'first terms' of each binomial --> 8p*6p = 48p²
multiply the 'outside' terms, far left and far right --> 8p*2 = 16p
multiply the 'inside' terms, the two terms in the 'middle' --> -2*6p = -12p
multiply the 'last' terms of each binomial --> -2 * 2 = -4
Add 'like' terms: 48p² + (16p - 12p) -4
Answer ---> 48p² +4p -4
Use synthetic substitution to find |(3) for f(x) = x2 - 9x +5.
Oa. 41
Ob.-23
Oc. -13
Od. -16
Answer:
-13
Step-by-step explanation:
Landen has his daily video gaming time each day for 7 days. But one day he plays and extra 50 minutes. His total video playing time for the week was 540 minutes. How long is his daily video playing time? Choose the equation that describes this word problem.
Answer:
im thinking 25 or 24
Step-by-step explanation:
sorry if i made you get it wrong
6(y-12) someone please help
Answer:
-6y
Step-by-step explanation:
6 - 12 = -6
-6 * y = -6y
Hope this helps :)
Answer:
6y-72
Step-by-step explanation:
A car travels about 46 feet in one second. At this speed,
about how many feet will the car travel in 2 seconds?
A
920 feet
B
48 feet
480 feet
D
92 feet
QUESTION IS IN THE PICTURE, PLEASE HELP!!
Answer:
The median is 5, mode is 5, and range is 12
Step-by-step explanation:
Answer:
MEDIAN - 5
MODE - 2 (4times)
RANGE - 13-1=12 (12 is the range)
Step-by-step explanation:
MEDIAN - Arrange the data in an ascending order and the median is the middle value. If the number of values is an even number, the median will be the average of the two middle numbers.
MODE - The mode is the element that occurs most in the data set. In this case, 2 occurs 4 times.
RANGE - Subtract the minimum data value from the maximum data value to find the data range. In this case, the data range is 13-1=12
виконати питання,..
.
..
Answer:
what kanguage s this?!!
Step-by-step explanation:
Find the product
0.037 · 0.26
The sum of two numbers is 20.5 and the difference of the same two numbers is 6.5.
Find the two numbers. *
Answer:
13.5 and 7
Step-by-step explanation:
x + y = 20.5
x - y = 6.5
Hence,
x = 20.5 - y
20.5 - 2y = 6.5
Hence,
2y = 14
y = 7
and x = 20.5 - y = 20.5 - 7 = 13.5
The two numbers are are 13.5 and 7.
What linear equations represents the numbers?a + b = 20.5 equation 1
a - b = 6.5 equation 2
Where a and b represents the two numbers
What is the value of b?In order to determine the value of b, subtract equation 2 from 1
2b = 14
Divide both sides by 2
b = 7
What is the value of a?Substitute for b in equation 1
a + 7 = 20.5
a = 20.5 - 7
a = 13.5
To learn more about simultaneous equations, please check: https://brainly.com/question/25875552
The value of 3' x10, when x = -2, can be
written in simplest form as a lb, where
a=
and b =
Answer:
[tex]a = 8[/tex] and [tex]b = 2[/tex]
Step-by-step explanation:
Given
[tex]\sqrt[3]{x^{10}}[/tex]
[tex]x = -2[/tex]
Required
Express as: [tex]a\sqrt[3]{b}[/tex]
Substitute -2 for x in [tex]\sqrt[3]{x^{10}}[/tex]
[tex]\sqrt[3]{x^{10}} = \sqrt[3]{(-2)^{10}}[/tex]
[tex]\sqrt[3]{x^{10}} = \sqrt[3]{1024}[/tex]
Express 1024 as 2^10
[tex]\sqrt[3]{x^{10}} = \sqrt[3]{2^{10}}[/tex]
Apply law of indices:
[tex]\sqrt[3]{x^{10}} = \sqrt[3]{2^{9+1}}[/tex]
Apply law of indices: Split
[tex]\sqrt[3]{x^{10}} = \sqrt[3]{2^{9}*2^1}}[/tex]
[tex]\sqrt[3]{x^{10}} = \sqrt[3]{2^{9}} *\sqrt[3]{2^1}}[/tex]
[tex]\sqrt[3]{x^{10}} = \sqrt[3]{2^{9}} *\sqrt[3]{2}}[/tex]
[tex]\sqrt[3]{x^{10}} = 2^{9*\frac{1}{3}}} *\sqrt[3]{2}}[/tex]
[tex]\sqrt[3]{x^{10}} = 2^3 *\sqrt[3]{2}}[/tex]
[tex]\sqrt[3]{x^{10}} = 8\sqrt[3]{2}}[/tex]
By comparison:
[tex]a = 8[/tex] and [tex]b = 2[/tex]
Answer:
a=-8 and b=-2
Step-by-step explanation:
Edge
Find the y-intercept of the line on the graph.
Enter the correct answer.
10 POINTS
if the body temperature in 98.6. what is the temperature in celcius
Answer:
37 Degree celcius; is the correct answer...
what is the value of X in the figure shown below
Answer:
32
Step-by-step explanation:
The scatter plot shows Leanna's elevation above sea level during a hike. The trend line passes
through the points (30,1070) and (75,1680). If Leanna starts at 663 feet above sea level and
maintains the same rate, how far above sea level will she be after one hour?
Answer:
The y-intercept is 663 and the slope is 13.56.Thus, the equation for the trend line is y = 13.56x + 663
Step-by-step explanation:
After one hour, her altitude will be
1476.60 feet above sea level. that was only if u get a part b
About 1/6 of a fruit punch is pineapple juice. About 1/9 of the punch is orange juice. Write and solve an equation to find the fraction of the punch that is pineapple juice or orange juice.
Answer:
Step-by-step explanation:
1/6 + 1/9 = 3/18 + 2/18 = 5/18
5/18 of the punch is either pineapple or orange.
The fraction that represents pineapple juice or Orange juice is 11/30
What is a fraction?A common fraction is a numeral that represents a rational number. A fraction is a part of a whole.
Given here pineapple juice is 1/6 of a fruit punch and orange juice is 1/9 of the punch. Let the whole punch is equal to x then
pineapple juice =( 1/6) × x and Orange juice = (1/9 )× x
Hence the total of the pineapple juice and orange juice is ( =1/6) × x + (1/9 ) × x
=11x/30
Now this total expressed as part of the whole is 11x/30 / x = 11/30
Hence, the final answer is equal to 11/30
Learn more about fractions here:
https://brainly.com/question/10354322
#SPJ5
How does the distance of the mouse change every 2 seconds? 0) Every 2 seconds, the distance the mouse travels i___ by __ feet.
Time|. 0|2|4|6
Distance|0|22|44|66
There's the graph please help
Answer:
22 feet (if the distance is in feet, and the time in seconds)
Step-by-step explanation:
t = time
d = distance
To see if the mouse's distance is proportional to the time, you divide the distance with the time:
[tex]t_{3}[/tex] = 4
[tex]d_{3}[/tex] = 44
44 / 4 = 11
[tex]t_{4}[/tex] = 6
[tex]d_{4}[/tex] = 66
66 / 6 = 11 (the same as with 44 / 4. This means that the mouse distance and time is proportional)
Every second the mouse travels 11 feet.
And every other second the mouse travels 22 feet. (since (1, 11)*2 = (2, 22))
That may have been confusing, and if you have any questions, don't be afraid to ask them in the comments below!
Have a good day!
Answer:
increases by 22
Evaluate x1 - x1 + x0 for x = 2.
0
1/2
1 1/2
2 1/2
Answer:
the answer is 0
Step-by-step explanation:
hoped I helped:)
Answer: 2 1/2
Step-by-step explanation:
Different shapes are drawn on cards and then the cards are placed in a bag. The number of cards for each shape is shown in the table.
Shape octagon square circle
Number of cards 12 27 91
What is the probability that a randomly selected card has a circle drawn on it?
Answer:
5 %
Step-by-step explanation:
657.9 as a whole number
Answer: I would believe all you have to do is round up making the number 658 lad :)
Step-by-step explanation:
Have a good day :)
Stay safe and stay awesome :D
Please Answer I Would Really Appreciate It :)
I need help with this
Answer:
look at the picture i sent.......
Help please if you know the answer
Answer:
180-140=a
180-90=b
180-a-b= your ans
At a drug rehab center 40% experience depression and 28% experience weight gain. 11% experience both. If a patient from the center is randomly selected, find the probability that the patient (Round all answers to four decimal places where possible.)
a. experiences neither depression nor weight gain.
b. experiences depression given that the patient experiences weight gain.
c. experiences weight gain given that the patient experiences depression.
(round to 4 decimal places)
d. Are depression and weight gain mutually exclusive?
yes
no
e. Are depression and weight gain independent?
no
yes
Using probability concepts, it is found that:
a) 0.43 = 43% probability that the patient experiences neither depression nor weight gain.
b) 0.3929 = 39.29% probability that the patient experiences depression given that the patient experiences weight gain.
c) 0.275 = 27.5% probability that the patient experiences weight gain given that the patient experiences depression.
d) No.
e) No.
---------------------
Conditional probability is an important part of the exercise.The formula is:[tex]P(B|A) = \frac{P(A \cap B)}{P(A)}[/tex]
P(B|A) is the probability of event B happening, given that A happened. [tex]\mathbf{P(A \cap B)}[/tex] is the probability of both A and B happening. P(A) is the probability of A happening.----------------------
40% experience depression, thus [tex]P(A) = 0.4[/tex]28% experience weight gain, thus [tex]P(B) = 0.28[/tex]11% experience both, thus: [tex]P(A \cap B) = 0.11[/tex]Item a:
The probability of experiencing at least one of them is:[tex]P(A \cup B) = P(A) + P(B) - P(A \cap B) = 0.4 + 0.28 - 0.11 = 0.57[/tex]
The probability of none is:[tex]p = 1 - P(A \cup B) = 1 - 0.57 = 0.43[/tex]
0.43 = 43% probability that the patient experiences neither depression nor weight gain.
Item b:
This probability is: [tex]P(A|B)[/tex].Using conditional probability:[tex]P(A|B) = \frac{P(A \cap B)}{P(B)} = \frac{0.11}{0.28} = 0.3929[/tex]
0.3929 = 39.29% probability that the patient experiences depression given that the patient experiences weight gain.
Item c:
Similar to b, thus:[tex]P(B|A) = \frac{P(A \cap B)}{P(A)} = \frac{0.11}{0.4} = 0.275[/tex]
0.275 = 27.5% probability that the patient experiences weight gain given that the patient experiences depression.
Item d:
[tex]P(A \cap B) \neq 0[/tex], thus, the events are not mutually exclusive.
Item e:
We have that: [tex]P(A \cap B) = 0.11[/tex]Also: [tex]P(A)P(B) = 0.4(0.28) = 0.112[/tex][tex]P(A \cap B) = P(A)P(B)[/tex], thus, the are not independent.A similar problem is given at https://brainly.com/question/21421475
which inequality has the same solution set as 3(q + 6) > 11?
3q + 18 < 11
3q + 6 > 11
q + 18 > 11
q + 18 > 11
Given:
The inequality is
[tex]3(q+6)>11[/tex]
To find:
The inequality that has the same solution set as the given inequality.
Solution:
We have,
[tex]3(q+6)>11[/tex]
Using distributive property, we get
[tex]3(q)+3(6)>11[/tex]
[tex]3q+18>11[/tex]
Since the given inequality can be rewritten as [tex]3q+18>11[/tex], therefore the inequality [tex]3q+18>11[/tex] has the same solution set as [tex]3(q+6)>11[/tex].
Hence, all options are incorrect. The required inequality is [tex]3q+18>11[/tex].
Answer:
3q+18 > 11
Step-by-step explanation:
A deck of cards contains red cards numbered 1,2,3, Blue cards numbered 1,2,3,4,5,6, and green cards numbered 1,2. If a single card is picked at random, what is the probability that the card is not green? Provide the final answer as a fraction?
Answer:
[tex]\frac{9}{11}[/tex]
Step-by-step explanation:
A probability is the number of desired outcomes divided by the number of total outcomes.
We have:
3 red cards
6 blue cards
2 green cards.
What is the probability that the card is not green?
3 + 6 + 2 = 11 cards, of which 3 + 6 = 9 are not green. So
[tex]\frac{9}{11}[/tex] probability that the card is not green
50 POINTS (SUPER IMPORTANT PLEASE HELP)
Simplify 6/√5 with steps and simplify 5/√45 with steps
#1
[tex]\sf \longmapsto \dfrac{6}{ \sqrt{5} } [/tex]
[tex]\sf \longmapsto \: \dfrac{6}{5} \sqrt{5} [/tex]
[tex]\sf \longmapsto2.683282[/tex]
#2
[tex]\sf \longmapsto5/\sqrt{45} [/tex]
[tex]\sf \longmapsto \: \dfrac{1}{3} \sqrt{5} [/tex]
[tex]\sf \longmapsto0.745356[/tex]
0.563498 TO 3 DECIML PLACES
Answer:
0.563
Step-by-step explanation:
0.563498 ~ 0.563
here the 3 decimal place is '3' and using the 4rth decimal place we determine wether it will be '3' or the next num '4' .
The 4rth place is '4'(as it is lesser than 5) the 3rd decimal place will become 3.
I hope im right and i hope I am understood
wo 6-sided number cubes are rolled for a board game. The 2 numbers are then added together to determine how many spaces the player advances on the board. Select the method of display that would be best for showing all of the outcomes for each number cube and the sums that would result. Create the display, and justify the reasoning behind your choice.
Answer:
The odds of rolling a 3 on a 6-sided number cube is 1 out of 6. The odds of rolling a 3 on either of two 6-sided cubes are 1/3. This is because 1/6 * 2 = 1/3. Therefore, an average of one-third of rolls will have a 3 in them. 1/3 expressed as a decimal is .3 repeating (.3333333 etc) and that rounds to 33 which is less than 34.
Step-by-step explanation:
the product of 4 and twice a number is 60
Answer: I think the answer would be 4+2n=60.. might be wrong though
Step-by-step explanation: