Answer:
(1,0)
Step-by-step explanation:
3x + 6y = 3
7x + 3y = 7
Multiply the second equation by -2
-2( 7x + 3y = 7)
-14x -6y = -14
Add this to the first equation to eliminate y
3x + 6y = 3
-14x -6y = -14
--------------------
-11 x = -11
Divide by -11
x = 1
Now find y
3x + 6y = 3
3 +6y = 3
Subtract 3 from each side
6y = 0
y =0
Answer:
x = 1
y = 0
Step-by-step explanation:
3x + 6y = 3
7x + 3y = 7
=> 3y = 7 - 7x
=> y = -7/3x + 7/3
3x + 6(-7/3x + 7/3) = 3
=> 3x - 14x + 14 = 3
=> -11x = -11
=> -x = -11/11
=> -x = -1
=> x = 1
So, 3(1) + 6y = 3
=> 3 + 6y = 3
=> 6y = 0
=> y = 0/6
=> y = 0
So, x = 1
y = 0
Emma changed £500 into rand before going on holiday to South Africa.
The rate of exchange at the time was £1 = 10.4 rand.
Emma spent 4000 rand on holiday. When she got home, she changed her leftover rand into pounds.
The exchange rate was now £1 = 9.8 rand. How much money did she get back in pounds?
Answer:
I'm sorry but I can give exact numbers but I would like to help work it out so...
Step-by-step explanation:
So overall she had £500 to start with
And £1 is equal to 10.4 rand
So you would divide 100 by 10.4 and get the potential difference between the average of money which she has then because she spent 400 rand in holiday you would divide 400 by the amount of the potential difference which was given then change that back to pounds
Hope this helps
If this seems incorrect please comment and I will change my answer thanks:)
Is 7/12 rational or irrational
Answer:
7/12 is a rational
Step-by-step explanation:
because it is containing a quantity which are expressible
Please help ASAP. The question is down below.
Answer:
(a) and (a)
Step-by-step explanation:
In both questions the denominator of the rational functions cannot be zero as this would make them undefined. Equating the denominators to zero and solving gives the values that x cannot be.
Given
[tex]\frac{x-3}{(3-x)(2+x)}[/tex]
solve (3 - x)(2 + x) = 0
Equate each factor to zero and solve for x
3 - x = 0 ⇒ x = 3
2 + x = 0 ⇒ x = - 2
x = 3 and x = - 2 are excluded values → (a)
------------------------------------------------------------------------
Given
[tex]\frac{-9x+3}{6x^2+10x-4}[/tex]
solve
6x² + 10x - 4 = 0 ← in standard form
(x+ 2)(6x - 2) = 0 ← in factored form
Equate each factor to zero and solve for x
x + 2 = 0 ⇒ x = - 2
6x - 2 = 0 ⇒ 6x = 2 ⇒ x = [tex]\frac{1}{3}[/tex]
x = [tex]\frac{1}{3}[/tex] and x = - 2 are excluded values → (a)
Hi how do I solve this simultaneous equation
Answer:
M (-3, -5/2)
N (3, -1)
Step-by-step explanation:
Solve the first equation for x.
4y = x − 7
x = 4y + 7
Substitute into the second equation.
x² + xy = 4 + 2y²
(4y + 7)² + (4y + 7)y = 4 + 2y²
Simplify.
16y² + 56y + 49 + 4y² + 7y = 4 + 2y²
18y² + 63y + 45 = 0
2y² + 7y + 5 = 0
Factor.
(y + 1) (2y + 5) = 0
y = -1 or -5/2
Plug back into the first equation to find x.
x = 4(-1) + 7 = 3
x = 4(-5/2) + 7 = -3
M (-3, -5/2)
N (3, -1)
-14 = x - 12 pls answer this if I can and check answer
Answer:
x = -2
Step-by-step explanation:
-14 = x - 12
-14 + 12 = x
-2 = x
check:
-14 = -2 - 12
30 times the square of a nonzero number is equal to eight times the number what is the number
Answer: 4/15
Step-by-step explanation:
Answer:
[tex]\frac{4}{15}[/tex]
Step-by-step explanation:
Number sentence: [tex]30x^{2}[/tex] = [tex]8x[/tex]
You can start by applying algebra to the left side of the equation by dividing each side by x. This should be how it looks now: 30x = 8
Now divide each side by 30 to keep reducing it: [tex]x = \frac{8}{30}[/tex]
Now that we have [tex]\frac{8}{30}[/tex], we can reduce that by dividing the top and bottom by 2:
[tex]\frac{8}{30} = \frac{4}{15}[/tex].
Therefore, the number is [tex]\frac{4}{15}[/tex].
What is the distance between the points (2, 10) and (-6,4) on the coordinate
plane?
Answer:
10
Step-by-step explanation:
the distance is given by
[tex] \sqrt{ {(2 - ( - 6))}^{2} + {(10 - 4)}^{2} } [/tex]
=
[tex] \sqrt{100} [/tex]
= 10
what is the value of x ?
Answer:
35
Step-by-step explanation:
it's the same value each side
Which function has a range of y < 3? y=3(2)x y = 3(3)x y = -(2)x+ 3 y = (2)x-3
Answer:
Third option is the correct answer
[tex]y = -(2)x+ 3[/tex]
Step-by-step explanation:
Given functions are:
[tex]y=3(2)x\\ y = 3(3)x\\ y = -(2)x+ 3\\ y = (2)x-3[/tex]
To find:
The function which has a range [tex]y <3[/tex] ?
Solution:
First of all, let us learn about the terms Domain and Range for a function:
[tex]y = f(x)[/tex]
Domain is the value of [tex]x[/tex] which is given as input to the function and gives a valid value of output as [tex]y[/tex] (i.e. function is defined).
Range of a function is the value [tex]y[/tex] that comes as output when given a valid value of [tex]x[/tex] as input.
Now, let us consider the given options above.
Third option is the correct answer.
[tex]y = -(2)x+ 3[/tex]
As we can see, [tex](2)x[/tex] is subtracted from 3 so [tex]y[/tex] will have a value which is lesser than 3.
i.e. range will be [tex]y <3[/tex].
No other function has such condition present in it.
[tex]y = -(2)x+ 3[/tex] is the correct answer.
PLZ HELP ME!!!! I NEED THE ANSWER QUICK SO IM GIVING BRAINLIEST TO THE FASTEST AND BEST ANSWER.
Answer:
f(x) = 8(1/2)^x.
Step-by-step explanation:
According to the graph, there is a point at (0, 8) and (1, 4).
That means that when x = 0, y = 8.
8 = a(b)^0
1a = 8
a = 8
That means that a = 8, and when x = 1, y = 4.
4 = 8(b)^1
4 = 8b
8b = 4
b = 4/8
b = 1/2
So, f(x) = 8(1/2)^x.
Hope this helps!
I need domain and range
Answer:
-3 and infinity
Step-by-step explanation:
A survey of athletes at a high school is conducted, and the following facts are discovered: 28% of the athletes are football players, 25% are basketball players, and 24% of the athletes play both football and basketball. An athlete is chosen at random from the high school: what is the probability that they are either a football player or a basketball player
Answer: 0.29 or 29%
Step-by-step explanation:
Given :
Probability that the athletes are football players : P(football ) = 0.28
Probability that the athletes are basketball players : P(basketball) = 0.25
Probability that the athletes play both football and basketball: P( both football and basketball ) = 0.24
Now, using formula
P(either football or basketball)= P(football )+ P(basketball+ P( both football and basketball )
⇒P(either football or basketball)= 0.28+0.25-0.24 = 0.29
Hence, the probability that they are either a football player or a basketball player = 0.29 .
Complete the recursive formula of the geometric sequence 7, -14, 28, -56, ....
Answer:
[tex]a_{n}[/tex] = - 2[tex]a_{n-1}[/tex]
Step-by-step explanation:
A geometric recursive formula has the form
[tex]a_{n}[/tex] = r[tex]a_{n-1}[/tex]
where r is the common ratio
Here r = - 14 ÷ 7 = - 2, thus
[tex]a_{n}[/tex] = - 2[tex]a_{n-1}[/tex] with a₁ = 7
Please help
Maths....
6 cm from what im seeing
Answer: 7 cm
Step-by-step explanation:
find the positive square root of 26.77
Answer:5.173973328
Step-by-step explanation:
Find the missing probability. P(A)=15,P(A∪B)=1225,P(A∩B)=7100 ,P(B)=?
Answer:
p(B) = 8310Step-by-step explanation:
We will use the addition rule of probability of two events to solve the question. According to the rule given two events A and B;
p(A∪B) = p(A)+p(B) - p(A∩B) where;
A∪B is the union of the two sets A and B
A∩B is the intersection between two sets A and B
Given parameters
P(A)=15
P(A∪B)=1225
P(A∩B)=7100
Required
Probability of event B i.e P(B)
Using the expression above to calculate p(B), we will have;
p(A∪B) = p(A)+p(B) - p(A∩B)
1225 = 15+p(B)-7100
p(B) = 1225-15+7100
p(B) = 8310
Hence the missing probability p(B) is 8310.
Rory records the percentage of battery life remaining on his phone throughout a day. The battery life decreases as Rory uses the phone, but will increase or stay at 100% while charging. The graph represents the percentage of battery life remaining after a certain number of hours.
A graph titled Phone Battery Life. The horizontal axis shows Elapsed Time (hours) numbered 2 to 20, and the horizontal axis shows Battery Life (%) numbered 10 to 120. A line begins at 100% in 0 hours, to 20% in 8 hours, to 100% from 10 to 12 hours, to 60% in 16 hours, to 100% from 17 to 20 hours.
At which times could Rory's phone have been plugged into the charger? Select three options.
Answer:
9 hours
11 hours
19 hours
Step-by-step explanation:
The graph represents the percentage of battery life remaining after a certain number of hours is attached below.
At which times could Rory's phone have been plugged into the charger? Select three options.
6 hours
9 hours
11 hours
14 hours
19 hours
Answer: From the graph, the line segment with negative slope (that is decreasing value) shows that the phone is not plugged but being used while the line segment with positive slope (increasing value) or stays at 100% shows that the phone is plugged to the charger.
As shown, from 0 to 8 hours their is a decreasing value, the phone is not plugged. From 8 to 10 hours their is an increasing value therefore the phone is plugged also from 10 to 12 hours the phone is plugged since it is constant. From 12 to 16 hours it is not plugged. From 16 to 18 hours it is plugged and from 18 to 20 hours it is plugged.
From the options it is plugged at 9 hours, 11 hours and 19 hours
Answer:
B - 9 HOURS
C - 11 HOURS
E - 19 BHOURS
Step-by-step explanation:
i took the test
1/2x-(x-2/3a)+1/4a please help me im so confused!
Which statement about the relationship shown in the graph is true?
Answer:
third option
Step-by-step explanation:
In a linear relationship, the y variable is the dependent variable (meaning that it depends on the independent variable) and the x variable is the independent variable. Basically, y depends on x, and since in this case, by looking at the graph, we know that y is the total price and x is the number of pounds of tomatoes, the answer is the total price depends on the number of pounds.
You pull one card at random from a standard deck and you shuffle the remaining cards. Then you pull another card. Is the event independent or dependent?
Answer:
If an event is affected by previous events then it is a dependent event, while if an event is not affected by the previous event then it is an independent event.
Since we have replaced the card that we first drew from the deck, it wont affect the event of pulling a card second time.
So, we can say that it is an example of independent event.
Need help with mark brainlist.
Nam worked on a job for 10 days. On each of the last 2 days, he worked 2 hours more than the mean number of hours he worked per day during the first 8 days. If he worked 69 hours in all, how many hours did he work during the last 2 days together?
Answer: 17 hours
Step-by-step explanation:
Given that On each of the last 2 days, he worked 2 hours more than the mean number of hours he worked per day during the first 8 days. That is he worked additional 4 hours for the two days.
Let the total hours for the 8 days = E
The mean = E/8 = 0.125E
For the two last days, he worked
( 0.125E + 2 ) × 2 = 0.25E + 4
If he worked 69 hours in all, then
E + 0.25E + 4 = 69
Collect the like terms
1.25E = 69 - 4
1.25E = 65
E = 65/1.25
E = 52.
Now find the mean of the first 8 days
Mean = 52 / 8 = 6.5 hours
Nam works during the last 2 days together for:
(6.5 + 2)×2
8.5 × 2 = 17 hours
Solve for x: 2x+1= -3x+36
Answer:
x = 7
Step-by-step explanation:
2x + 1 = -3x + 36
2x + 3x + 1 = -3x + 3x +36
5x + 1 = 36
5x + 1 - 1 = 36 - 1
5x = 35
5x/5 = 35/5
x = 7
Answer:
first you would add 3x to -3x and 2x, then you would get 5x+1=36. Then you subtract 1 from 1 and 36. Then you get 5x=35. Then you divide by 5 to get the answer 7. so your answer is x=7
Step-by-step explanation:
hope this helps
Create a box plot for either the girls or boys data. Give 2 valid conclusions based on the data collected? (4 points)
Answer:
1) Please find attached the box and whiskers chart created with Excel
2) The conclusions are;
a) The measure of central tendency (the mean and the median) are approximately equal,
b) The standard deviation for the first five data points is 14.17 while the standard deviation for the whole ten data points is 23.99 as such the data values appeared more clustered at the center and show wider spread towards right ends of the chart
Due to the lack of correlation between the standard deviation and the five data values, the data is not uniformly distributed
Step-by-step explanation:
The given data is as follows;
1, 2, 3, 4, 5, 6, 7, 8, 9, 10
15, 18, 22, 32, 50, 50, 55, 56, 81, 81
The first quartile Q₁ = 22
The second quartile, Q₂ (Median) = 50
The third quartile, Q₃ = 56
The interquartile range IQR = 56 - 22 = 34
The minimum value = 15
The maximum value = 81
The mean = 46
The standard deviation = 23.99
Therefore, the measure of central tendency (the mean and the median) are approximately equal,
The data values appeared more clustered at the center and show wider spread towards the left and right ends of the chart
The standard deviation for the first five data points is 14.17 while the standard deviation for the last five data points is
Due to the lack of correlation between the standard deviation and the five data values, the data is not uniformly distributed.
HELP!! The aquarium has 6 fewer yellow fish than green fish. 40 percent of the fish are yellow. How many green fish are in the aquarium? Show your work.
Answer:
Answer is 36 I think
Step-by-step explanation:
im not sure
please help on 30–31
Step-by-step explanation:
30-option c
because only crows r black in appearance
31-option d
thats the option which represents the question asked
10 points please help
Answer:
[tex]\frac{14}{55}[/tex]
Step-by-step explanation:
note that
n! = n(n - 1)(n - 2) .... × 3 × 2 × 1
Given
[tex]\frac{8!9!}{5!12!}[/tex]
Cancel the terms from 8! ( 5 × 4 × 3 × 2 × 1 ) with the same terms from
5! ( 5 × 4 × 3 × 2 × 1 ) leaving
8 × 7 × 6 = 336 on the numerator
Similarly
Cancel the terms from 9! and 12!
leaving 12 × 11 × 10 = 1320 on the denominator, thus simplifies to
[tex]\frac{336}{1320}[/tex]
= [tex]\frac{14}{55}[/tex]
What characteristics do similar triangles share? a They have the same sides and angles. b They have the same sides but different angles. c They have the same ratios for the sides. d They are the exact same.
Answer:
b. they have the same sides but different angles
Step-by-step explanation:
this answer makes the most sense
Answer:
C they have the same ratios for the sides
Step-by-step explanation:
Two triangles are said to be similar if their corresponding angles are congruent and the corresponding sides are in proportion. In other words, similar triangles are the same shape, but not necessarily the same size. The triangles are congruent if, in addition to this, their corresponding sides are of equal length.
what is 3 squared (a) if a = 107
Answer:
Brainleist!
Step-by-step explanation:
This is the equation I'm solveingg [tex]3^{2(107)}[/tex]
if so...
here
3^214
or
1.2704234747596538696295415610762e+102
Given that ΔABC is a right triangle with a right angle at C, if tan A = [tex]\frac{5}{4}[/tex], find the value for tan B.
A. tanB = [tex]\frac{3}{4}[/tex]
B. tanB = [tex]-\frac{4}{5}[/tex]
C. tanB = [tex]\frac{4}{5}[/tex]
D. tanB = [tex]-\frac{5}{4}[/tex]
Answer:
C
Step-by-step explanation:
tan A = [tex]\frac{5}{4}[/tex] = [tex]\frac{opposite}{adjacent}[/tex] , thus
The opposite side is the adjacent side for B and the adjacent side is the opposite side for B, thus
tan B = [tex]\frac{4}{5}[/tex]
Which section of the function is decreasing? (4 points) A graph is shown. Segment A is a horizontal line beginning at the y-axis. Segment B moves upward. Segment C is a horizontal line. Segment D moves downward Select one: a. A b. B c. C d. D
Answer: D
Step-by-step explanation:
If segment D moves downward it means its function has a negative slope so the line will be decreasing.
Answer:
D
Step-by-step explanation:
Obviously just because the slope is going down hence decreasing. \
Hope this helps! :)
