Answers
Answer:
a. Substitution method.
b. Elimination method.
c. Graph method.
Step-by-step explanation:
Given the following algebraic expressions;
a. y = 3x + 10 ....... equation 1
2x - 4y = -6 ...... equation 2
The above would be solved using substitution method.
Substituting eqn 1 into eqn 2, we have;
2x - 4(3x + 10) = -6
2x - 12x - 40 = -6
-10x = -6 + 40
-10x = 34
x = 34/10
x = 3.4
y = 3x + 10 = 3*3.4 + 10
y = 10.2 + 10 = 20.2
b. 9x + 2y = 29 ...... equation 1
3x - 2y = -17 ...... equation 2
The above would be solved using elimination method.
Adding eqn 1 to eqn 2, we have;
(9x + 3x) + (2y + (-2y)) = (29 + (-17))
12x + 0 = 12
12x = 12
x = 12/12 = 1
To find y, from eqn 1;
9(1) + 2y = 29
2y = 29 - 9
2y = 20
y = 20/2 = 10
c. y = 3/2x - 5
y = 2x + 8
The above would be solved using a graph method.
You choose a range for the value of y and x. These values are then plotted against each other and the slope of the graph is determined.
Related Questions
4−(3−5)=.
does anyone know what this is ??
Answers
4-(-2)
Two negatives equal one positive so it would be:
4+2
And 4 plus 2 is of course 6.
what choices are solutions for equation x^2-3x = -5/4
Answers
Here's the solution,
=》
[tex] {x}^{2} - 3x = - \dfrac{5}{4} [/tex]
=》
[tex] {x}^{2} - 3x + \dfrac{5}{4} = 0[/tex]
now, let's multiply the whole equation with 4
=》
[tex]4 {x}^{2} - 12x + 5 = 0[/tex]
=》
[tex]4 {x}^{2} - 10x - 2x + 5= 0[/tex]
=》
[tex]2x(2x - 5) - 1(2x - 5) = 0[/tex]
=》
[tex](2x - 1)(2x - 5) = 0[/tex]
so,
Case 1. where, 2x - 5 = 0
=》
[tex]x = \dfrac{5}{2} [/tex]
case 2. where, 2x - 1 = 0
=》
[tex]x = \dfrac{1}{2} [/tex]
A candle shop owner collected data on customers’ favorite scents, as shown in the table.
Lavender 0.31
Vanilla 0.18
Cinnamon 0.23
Floral ?
Coconut ?
A customer is randomly selected. If the probabilities of a customer choosing floral and coconut as their favorite scents are the same, what is the value of the missing probabilities?
0.10
0.14
0.20
0.28
Answers
Answer:
Step-by-step explanation:
It's 14
The missing probabilities for Floral and Coconut are both 0.14.
To find the missing probabilities for Floral and Coconut, we need to consider that the sum of all probabilities must equal 1.
Let's calculate the missing probabilities:
The sum of the given probabilities is:
0.31 + 0.18 + 0.23 = 0.72
Since the sum of all probabilities must equal 1, we subtract the sum of the given probabilities from 1 to find the remaining probability:
1 - 0.72 = 0.28
Since the probability of Floral and Coconut is the same, we divide the remaining probability equally between the two scents:
0.28 / 2 = 0.14
Therefore, the missing probabilities for Floral and Coconut are both 0.14.
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Divide £104 in the ratio 3:5
Answers
Answer:
39:65
Step-by-step explanation:
104/(3+5) = 104/8 = 13 13(3):13(5) = 39:65
numbers greater than 10 from 1 to 15
Answers
bro just count?????? 11, 12, 13, 14, 15??????
Answer:
11,12,13,14,15
Step-by-step explanation:
The number scale goes like this 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 so look at the numbers in between 10 and 15 except dont count in ten because they have to be greater the 10. so therefor 11,12,13,14,15 :)
Find the value of y. It’s geometry hw! plz only answer if you know how to do this. thank you
Answers
Answer:
48
Step-by-step explanation:
Imagine that all of the other angles within the circle are gone except for the angle "y".
Now kindly look at the image.
We would be left with angle y as the inscribed angle and 96° for the measure of the intercepted arc.
The relationship between intercepted arcs and inscribed angles is that the inscribed angle is equal to half the measure of the intercepted arc.
So y is equal to half of the measure of its intercepted arc. ( Which in this case has a measure of 96° )
so y = [tex]\frac{96}{2}[/tex]
96/2=48
Hence the value of y is 48
Select the line that is equivalent to 5x +2y=6.
Answers
Answer: It will be C, 5x + 2y = 6 is equivalent to y = -5/2x + 3
The equivalent equation for the given is y=-5/2x+3. Therefore, option A is the correct answer.
What is the equation of a line?The general equation of a straight line is y=mx+c, where m is the gradient, and y = c is the value where the line cuts the y-axis. This number c is called the intercept on the y-axis.
The given equation is 5x +2y=6.
The equivalent equation is 2y=-5x+6
y=-5/2x+6/2
y=-5/2x+3
Therefore, option A is the correct answer.
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Select the line that is equivalent to 5x +2y=6.
A) y=-5/2x+3
B) y=5/2x-3
C) y=-2/5x+6/5
D) y=2/5x-6/5
This equation calculates the value, P, of an account with an initial deposit of P0 and an interest rate of r compounded n times per year after t years.
P = P0 (1+r/n)nt
Vanessa deposits $700 in a savings account with an interest rate of 2% compounded monthly. Assuming she neither adds to nor withdraws from the account, what will be the approximate value of the account in 7 years?
А. $889.57
B. $887.77
C. $714.13
D $805.10
Answers
Answer:D
Step-by-step explanation:
Plug in 700 for P0, .02 for r, 12 for n and n, and 7 for 5.
Approx value of the account in 7 years will be 805.10$.
What is compound interest?Simple interest and compound interest are the two methods for calculating interest. Simple interest is computed on a loan's principal, or initial loan amount. Compound interest is sometimes referred to as "interest on interest" since it is computed using both the principal and the accrued interest from prior periods.
Given that equation calculates the value, P, of an account with an initial deposit of P0 and an interest rate of r compounded n times per year after t years.
P = P0 (1+r/n)nt
Vanessa deposits $700 in a savings account with an interest rate of 2% compounded monthly. Assuming she neither adds to nor withdraws from the account.
Hence, initial deposit:$700.00
Interest rate:2% yearly
Time:7 years
Compounding: Monthly so n = 12
put these values in the given equation. we will get P = 805.10
Therefore the value of the account in 7 years will be 805.10$.
Learn more about Compound interest here:
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Find the volume of the solid generated by revolving the region bounded by the graphs of the equations about the x-axis. Verify your results using the integration capabilities of a graphing utility. y = e^(x-1), y=0, x=1, x=2
Answers
Answer:
the volume of the solid generated by revolving the region bounded by the graphs of the equations about the x-axis is;
[tex]\frac{\pi }{2} [e^2 - 1 ][/tex] or 10.036
Step-by-step explanation:
Given the data in the question;
y = [tex]y = e^{(x - 1 )[/tex], y = 0, x = 1, x = 2.
Now, using the integration capabilities of a graphing utility
y = [tex]y = e_2}^{(x - 1 )_[/tex], y = 0
Volume = [tex]\pi \int\limits^2_1 ( e^{x-1)^2} - (0)^2 dx[/tex]
Volume = [tex]\pi \int\limits^2_1 ( e^{x-1)^2 dx[/tex]
Volume = [tex]\pi \int\limits^2_1 e^{2x-2}dx[/tex]
Volume = [tex]\frac{\pi }{e^2} \int\limits^2_1 e^{2x}dx[/tex]
Volume = [tex]\frac{\pi }{e^2} [\frac{e^{2x}}{2}]^2_1[/tex]
Volume = [tex]\frac{\pi }{2e^2} [e^4 - e^2 ][/tex]
Volume = [tex]\frac{\pi }{2} [e^2 - 1 ][/tex] or 10.036
Therefore, the volume of the solid generated by revolving the region bounded by the graphs of the equations about the x-axis is;
[tex]\frac{\pi }{2} [e^2 - 1 ][/tex] or 10.036
Select all that are equal to 3. log28 log416 log327 log101,000
Answers
Answers on edg. are:
log2 8
log3 27
log10 1,000
Step-by-step explanation:
Yo just trust me ight
Which of the following represents a geometric sequence?
I 1/4,1/4,1/4,1/4
II 1/4,1/5,1/6,1/7
III 1/4,1,-4,16
IV 1/4,-4,1/4,-4
OOOO
A. I
B. II
C. III
D. IV
Next
Save and Exit
Answers
Answer:
A. I
Step-by-step explanation:
The other person is wrong and I took the test
Ron has 17 coins with a total value of $2.75. The coins are dimes (10 cents) and quarters (25 cents). How many of each coin does he have?
Ron has ___dimes and ___ quarters.
Answers
Answer:Ron has 5 dimes and 9 quarters
Step-by-step explanation:
Lets try 9 quarters,
9x25= 225
275-225=50
50/10(Dime value)
5, Ron has 5 dimes and 9 quarters
WILL GIVE BRAINLIEST TO THE RIGHT ANSWER
Tabitha and Paco are in a video game room that consists of 10 games. How many different ways can they play all 10 games if they play each game once?
A.362,880
B.20
C.3,628,800
D.55
Answers
Answer:
Its C
Step-by-step explanation:
According to a 2018 survey by Bankrate, 20% of adults in the United States save nothing for retirement (CNBC website). Suppose that sixteen adults in the United States are selected randomly. What is the probability that three or less of the selected adults have saved nothing for retirement
Answers
Answer:
0.5981 = 59.81% probability that three or less of the selected adults have saved nothing for retirement
Step-by-step explanation:
For each adult, there are only two possible outcomes. Either they save nothing for retirement, or they save something. The probability of an adult saving nothing for retirement is independent of any other adult. This means that the binomial probability distribution is used to solve this question.
Binomial probability distribution
The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
In which [tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.
[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]
And p is the probability of X happening.
20% of adults in the United States save nothing for retirement (CNBC website).
This means that [tex]p = 0.2[/tex]
Suppose that sixteen adults in the United States are selected randomly.
This means that [tex]n = 16[/tex]
What is the probability that three or less of the selected adults have saved nothing for retirement?
This is:
[tex]P(X \leq 3) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3)[/tex]
In which
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
[tex]P(X = 0) = C_{16,0}.(0.2)^{0}.(0.8)^{16} = 0.0281[/tex]
[tex]P(X = 1) = C_{16,1}.(0.2)^{1}.(0.8)^{15} = 0.1126[/tex]
[tex]P(X = 2) = C_{16,2}.(0.2)^{2}.(0.8)^{14} = 0.2111[/tex]
[tex]P(X = 3) = C_{16,3}.(0.2)^{3}.(0.8)^{13} = 0.2463[/tex]
[tex]P(X \leq 3) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3) = 0.0281 + 0.1126 + 0.2111 + 0.2463 = 0.5981[/tex]
0.5981 = 59.81% probability that three or less of the selected adults have saved nothing for retirement
6. Find the 20 ^ (th) term of the arithmetic sequence. 42,28,14,0,-14,...
Answers
Step-by-step explanation:
[tex]U _{ {20}^{th} } = a + (n - 1)d \\ = 42 + (20 - 1) \times 14 \\ = −252[/tex]
Find the area of the figure.
PLS I NEED HELP FAST I BEG YOU!
Answers
LxWxH is for area
Mark with crown!
Translate into PROP, using the conventions.
a. Pia is guilty only if Raquel is.
b. Pia is guilty if Raquel is.
c. If Quinn or Raquel is guilty, then Pia is too.
d. If neither Pia nor Quinn is guilty, then neither Raquel nor Stan is guilty.
e. If Pia is guilty, then if Raquel is guilty then Quinn is guilty.
Answers
Answer:
The associated PROPS are as follows:
a:[tex]P\rightarrow R[/tex]
b: [tex]R\rightarrow P[/tex]
c:[tex](Q \vee R)\rightarrow P[/tex]
d:[tex]\sim(P \lor Q)\rightarrow \sim(R \lor S)[/tex]
e:[tex]P\rightarrow (R\rightarrow Q)[/tex]
where
P is Pia is guilty
R is Raquel is guilty
Q is Quinn is guilty
S is Stan is guilty
Step-by-step explanation:
When only if is used the conditional antecedent and consequent are interchanged thus the first one is written as such.
In addition to this, the different symbols are used such that their logical meanings are clear.
Help!
△LMN is the result of a reflection of △XYZ across the y-axis.
Which angle in the image corresponds to ∠X in the pre-image?
∠L
∠M
∠N
Answers
Answer:
∠X in the pre-image will be equal to ∠L in the main image
Step-by-step explanation:
△LMN is the result of a reflection of △XYZ which means △LMN is the mirror image △XYZ
hence, the left of △XYZ will be equivalent to the right of △LMN and the right of △XYZ will be equivalent to the left of △LMN
Hence, ∠X in the pre-image will be equal to ∠L in the main image
Anybody know the answers?
Answers
Answer:
1 adult = 16 students
a = 16x
Step-by-step explanation:
7 1/8 - 3 5/8 plz help me on this math
Answers
Answer:
7/2 or 3 1/2
Step-by-step explanation:
Kaitlin walks 2.5km every day. How far does she walk in 5 days?
Answers
Answer:
12.5km
hope this helps
have a good day :)
Step-by-step explanation:
Answer:12.5Km
Step-by-step explanation:
You do 2.5 x 5
Find the perimeter of an isosceles triangle with a base of 48 in and a height of 14 in.
will mark brainlist dont give me that link
Answers
Answer:
I think the answer is 103.6
Step-by-step explanation:
divide the base by 2, which will give you 24 and find the hypoteneuse with Pythagorean theorem
(14)^2 + (24)^2 = /742 = 27.8
27.8x2 + 48 = 103.6
hope that answers your question
Write and solve a proportion to find the missing value. Then find the measure of \overline{LT}
LT
.
Answers
35
Step-by-step explanation:
Estimate 719 – 274. Round each number first.
Answers
719 rounded up equals 720
274 rounded down equals 270
720-270= 450
Here are four fractions. Write them small to large
2/3
3/5
5/8
7/11
Answers
Answer:
1. 3/5 2. 5/8 3. 7/11 4. 2/3
Step-by-step explanation:
Answer:
Step-by-step explanation:
Here are four fractions. Write them small to large 2/3 3/5 5/8 7/11
11+11 = 22
Select THREE equivalent expressions that show how you could factor 16x-48
2(8x-24)
4(4x-12)
2(8x-48)
16(X-3)
X(16+3)
Answers
4(4x-12)
16(x-3)
One day, a group of people had a driving test.
40 of this group were men and the rest were women.
5/3 of the men and
3/2 of the women passed the driving test.
The number of men and women that passed the driving test was the same.
Work out the number of women that took the driving test that day.
Please some help would be greatly appreciated with this question as it is imperative to me that i solve it
thanks
Answers
Answer:
every other night another $1 getting made
Step-by-step explanation:
Answer:
eeeeeeeeeeee nose
Step-by-step explanation:
somebody please help me i’ve been stuck on this for an hour...it’s a maze work sheet so it’s one of the fractions.
Answers
Answer:
The probability is 2/11 or 7/95. I don't know if this is the correct answer but I am guessing it is.
Step-by-step explanation:
Hope this helps you :)
Answer:
Probability for first letter to be a vowel is 5/11. When you take it out you’re left with 10 overall letters and 4 more vowels so the probability that the second letter is a vowel is 4/10 if you already took a vowel in the first take.
Probability for your occurence is (5/11)*(4/10)=20/110=2/11
What is on the HANNA ORLEANS ALGEBRA 1 (7th for 8th) PLACEMENT TEST GUIDE?
Answers
Answer:
17
Step-by-step explanation:
ifhrFj,iyjgztizzkyraykeLyrgodyyixynj
What is the answer to Wednesday's Warm-up??????
Answers
Answer:
16
Step-by-step explanation:
Answer:
h = 16
Step-by-step explanation:
Ratios:
[tex]\frac{h}{24} =\frac{4}{6} \\\\6h=96\\h=16[/tex]