Answer:
The solution is:
[tex]y=7,\:x=3[/tex]
Step-by-step explanation:
I think substitution method would be the best method for solving the given system of equations.
The reason is that all we need is to plug in the the value of y i.e. y=x+4 in the equation 3x – 4y = -19, then solve for x, and in the end substitute the value x in the equation y=x+4 to get the y-value.
The other method, elimination method, can also be used, but elimination method in current system of the equations would involve a certain degree of arrangements of the variables and then different multiplying of the equation to eliminate the variables.
Thus, I think substitution method would be the best method for solving the given system of equations.
Let us solve using substitution method
[tex]\begin{bmatrix}y=x+4\\ 3x-4y=-19\end{bmatrix}[/tex]
[tex]\mathrm{Subsititute\:}y=x+4[/tex]
[tex]\begin{bmatrix}3x-4\left(x+4\right)=-19\end{bmatrix}[/tex]
[tex]\begin{bmatrix}-x-16=-19\end{bmatrix}[/tex]
[tex]x=-16+19[/tex]
[tex]x=3[/tex]
Now, just substitute x=3 in y=x+4
[tex]y=x+4[/tex]
[tex]y=3+4[/tex]
[tex]y=7[/tex]
Thus, the solution is:
[tex]y=7,\:x=3[/tex]
y
10
9
8
7
9
5
4
1
-10-9
-8
7
5
1
3
5 6
7
8
6
2
&
4
-5
-6
-7
-8
Is it a one point question?
Answer:
78
Step-by-step explanation:
maybe.
what is the percent of decrease from 3.2 to 1.2 plz help
Answer:
62.5%
Step-by-step explanation:
(1.2 - 3.2) / 3.2 =
- 2 / 3.2 =
- 0.625 =
- 62.5
The minus (-) reflects the decrease.
Answer:
62.5%
Step-by-step explanation:
if 3.2 - 100%
1.2 - x
x= (1.2*100)/3.2
x = 37.5%
Decrease = 100-37.5 = 62.5%
There is a line that includes the point (3, 15) and has a slope of 0. What is its equation in slope-intercept form?
Plz help I’ll give brainlest
Answer:
about 13 inches sorry if im wrong ive spent so long tryna figure this out
Step-by-step explanation:
Answer:
13 inches
Step-by-step explanation:
multiply 2 and 6.5 *i got 2 because the 2 hours and the 4 inches
Find the equation of the line, in slope-intercept form, that passes through the points (2, 9) and (3, 7). Show all work.
(20 POINTS)
4 less than y is greater than 5
Answer:
Step-by-step explanation:
The equation would be: y-4>5
Hope this helps...
solve the equation or inequality.
5t - 3 (7t + 1) < 93
Step-by-step explanation:
5t-3(7t+1) < 93
Remove the parentheses
5t-21t-3 < 93
-16t < 93+3
-16t < 96
Divide both sides by 16
-t<96/16
-t<6
t > -6
Answer: The inequality t < 6 is the correct answer.
Step-by-step explanation:
5t - 3 (7t + 1) < 93 <--- This is the original equation.
5t + (7t + 1) - 3 < 93 <---- Use commutative property.
16t - 3 < 93 <--- Simplify
16t - 3 + 3 < 93 + 3 <---- Add 3 to both sides,
16t < 96 <--- Simplify and do addition.
[tex]\frac{16t}{16}[/tex] < [tex]\frac{96}{16}[/tex] <--- Divide both sides by 16.
t < 6 <--- is the answer to the inequality.
Hope this helps! :D
A college student takes out a $7,500 loan from a bank. What will the balance of the loan be after one year (assuming the student has not made any payments yet): if the bank charges 3.8% interest each year?
Answer:
I got but idk if that is right $7897.5.
Step-by-step explanation:
The balance of the loan after one year with 3.8% interest will be $7,792.50.
How to calculate the balance?If the student has not made any payments, the balance of the loan after one year with 3.8% interest can be calculated using the following formula:
Balance after one year = Principal amount x (1 + (Annual interest rate/100))
Where the Principal amount is $7,500, the Annual interest rate is 3.8%, and the time period is one year.
Plugging these values into the formula, we get:
Balance after one year = $7,500 x (1 + (3.8/100))
= $7,500 x 1.038
= $7,792.50
Therefore, the balance of the loan after one year with 3.8% interest will be $7,792.50.
To know more about loans follow
https://brainly.com/question/29940535
#SPJ7
when to probabilities are mutually exclusive, they do not have any outcomes in common?
True or False
Answer:
it's true
A and B are mutually exclusive events if they cannot occur at the same time. This means that A and B do not share any outcomes and P(A AND B) = 0
Write a real-world problem that can be solved using the equation 9+4x=21−2x.
1. you have to subtract 9 from both sides. 21-9= 12
2. you have to add 2x to both sides. 4x+2x= 6x
3. 6x divided by both sides =
4.x=2
Two years ago Juanita bought 2 shirts for $15 and last year she bought 4 shirts for $45. Assuming the prices will increase linearly, how much will 8 shirts cost Juanita this year?
Answer:
This year, Juanita will have to use $75.
Step-by-step explanation:
Because if 2 shirts is $15, 4 shirts will be $30. $45 is $15 more than $30, so the increase is $15. 2*4 is 8, so that will make it 15*4=60. 60+15=75.
Marie has 60 photos. 2/5 of the photos are of her children. How many of the photos are of her children?
Answer:
24
Step-by-step explanation:
60 divided by 5 is 12 so 1/5 would be 12 and 12+12=24 so Marie has 24 pictures of her children
Answer:
24
Step-by-step explanation:
if you divide 60 by 5 its 12 if you multiply 12 time 2 equals 24 so there u go
please answer this please
Answer:
4)d)9/10
5)a)20
6)b)3/10
7)b)3/7
Step-by-step explanation:
Simplify the following expression.
2.22 + 16-4-(4+4)
A. 8
B. 14
C. 4.
D. 16
Answer:
=6.22??
Step-by-step explanation:
2.22+16-4-(4+4)
2.22+16-4-8
18.22-4-8
14.22-8
=6.22....
Answer:
I got 6.22
Step-by-step explanation:
I did 2.22+16-4(4+)
First : 2.22+16-4-4-4
Then: -4-4-4= -12
After: 2.22+16-12
Lastly: 2.22+4
And I got 6.22 and I checked my answer wit a calculator and its 6.22
Hope this helps
-Mercury
In which story is the answer to the question 0?
1:
Neil felt sick, so his grandma took his temperature. She said his temperature
was 2°F above the normal human body temperature. At dinner time, his
temperature was 2°F higher than it was that morning. What is the difference
between Neil's temperature now and the normal human body temperature?
2:
Neil felt sick this morning, so his grandma took his temperature. She said his
temperature was 2°F above the normal human body temperature. At dinner
time, his temperature was 2°F lower than it was that morning. What is the
difference between Neil's temperature now and the normal human body
temperature?
Answer:
2
Step-by-step explanation:
It was +2 in the morning. -2 would make it 0.
the second story is the answer
EEEK HELP
Earl runs 75 meters in 30 seconds. How many meters does Earl run per second?
Take my points T^T
Answer:
2.5 meters per second
Step-by-step explanation:
75/30= 2.5/1= 2.5 meters in 1 second
Answer:
2.5
Step-by-step explanation:
just divide the distance by time
7. The lifetime of a certain brand of tires is approximately normally distributed, with a
mean of 40,000 miles and a standard deviation of 2,500 miles under normal driving conditions.
Tire wear is greatly affected by road, weather and driver conditions along with proper
maintenance of the tires. A driver who aggressively accelerates or makes quick stops, for
example, will wear out a tire much more quickly. The brand carries a warranty of 33,000 miles
under normal driving conditions, i.e., the company will replace a tire if it wears out before this
mileage limit is reached.
Answer:
0.0025551
Step-by-step explanation:
Given that:
Mean (m) = 40000
Standard deviation (s) = 2500
P(x < 33,000) :
USing the relation to obtain the standardized score (Z) :
Z = (x - m) / s
Z = (33000 - 40000) / 2500 = - 2.8
p(Z < -2.8) = 0.0025551 ( Z probability calculator)
Probability of Tyre wagering out before mileage limit is reached = 0.0025551
What information can be used to compare linear relationships? Explain why.
Answer:the slope and the y intercept (you can tell there linear if the slope is the same and the y-intercepts are different).
Step-by-step explanation:
Answer:
Sample Response: Linear relationships can be compared using their initial values, or y-intercepts, and their rates of change, or slopes. Initial values can tell you which relationship started with a greater value. Comparing slopes can tell you which relationship is rising or falling faster.
Step-by-step explanation:
Josh drew the rectangle below and then reflected it over C D to form Rectangle A'B'C'D'. He argues that the image of the rectangle will be in the same location as the original rectangle was. His classmate, Raquel, thinks that it wil not be. Who is correct?
Answer: Raquel
Step-by-step explanation: If you’re reflecting then obviously it’s going to be in a new spot because it flips to somewhere new
Your task is to create a tondo (a circular art piece) that demonstrates your understanding of the different circle properties.
Topic: Circle Geometry
For more info see attachment.
Answer:
I am very very very sorry if this is incorrect, this did not make much sense to me! :(
Step-by-step explanation:
,,,,,,,,hi bestie help pls
Answer:
domain:-4,-4,0,2,3
hope that helps you:)
7th grade math help lol
Step-by-step explanation:
F and C, I think those are the only ones
HElP ME OUT PLEASE !
Answer:
Step-by-step explanation:
1.Based on the equation the y-intercept is -2(go down 2 places on the y axis)
2.Since here is only x in the equation the rise over run will be 1/-1 (go up 1 and to the left 1 from the point -2 on the y axis) keep doing that all the way down the graph marking your points, also reverse the process going down 1 and to the right 1 to mark the points on the opposite side.
3.Draw the line through the points you marked from step 2
4.In the equation it is x-2 so it is a positive slope and a negative y-intercept
m=1
b= -2
Which month could be used as a counterexample for the argument All months have at least 30 days.?
A.) February
B.) September
C.) April
D.) July
Answer:
february
plzz mark as a brainlist
-2y - 3y + 8 = 8 -5y - 12
solve this equation fast please
Does anyone wanna help ya girl out?? I’ll give brainliest for best answer (it’ll go who answers first, and how helpful the answer is)... you’ll also get 20 points teehee :)
Answer: 1, 2, and 4
Step-by-step explanation:
Egal loggers got away with 4 acres of trees at a reserve in central Mexico. That number represents a 97 percent decline from two years prior. How many acres of trees did the illegal loggers get away with two years prior? Round the answer to the nearest acre.
Answer: with 133.33 acres of trees
Step-by-step explanation:
4 acres of trees, is a 97% decrease of the previous amount.
This means that if the previous amount was X, then 4 acres is 3% (or 0.03 in decimal form) of X, or:
4 acres = 0.03*X
Now we can solve this for X as:
X = 4acres/0.03 = 133.33 acres
The illegal loggers got away with 133.33 acres of trees
When f(x)=4, what is the value of x?
O0
O2
O3
O4
Answer:
2
Step-by-step explanation:
Answer:
It is 04
Step-by-step explanation:
is √64 a rational or irrational?
Answer:
√64 is rational.
because 8² is 64 and √64 is 8
Step-by-step explanation:
Answer:
rational
Step-by-step explanation:
help needed!!! OVER DUE ASSIGNMENT! click picture!!
Answer:
Step-by-step explanation:
x= 6/2=3 ; y = 59° ( it opposes the side that is 10/2=5)
2) x= 6/2 =3