[tex]\tt Step-by-step~explanation:[/tex]
In order to solve for both x and y, we need to use the substitution property, where we replace a variable with what we solved for.
[tex]\tt Step~1:[/tex]
Let's solve for y first. Equation (1st one): 8x + 4y = 12. To isolate y, we can first subtract 8x from both sides, and then divide all terms by 4.
[tex]\tt 8x- (8x)+4y=12-(8x)\\4y=12-8x\\4y/4=y\\12/4=3\\-8x/4=-2x\\y=3-2x[/tex]
[tex]\tt Step~2:[/tex]
Then, we can solve for x. Let's take the second equation: 3x + y = 3. We take what we solved for in the previous step and plug it into this equation.
[tex]\tt 2x+(3-2x)=3\\2x+3-2x=3\\2x-2x=0\\3-3=0\\0=0\\x=x[/tex]
[tex]\large\boxed{\tt Our ~final~answer:(x,3-2x)}[/tex]
Both equations are also the same, so the solution = all real numbers for x.
[tex]\tt y=3-2x\\3-2x=3-2x[/tex]
PLEASE HURRY 100 POINTS!
Graph x > 2.
Answer:
see below
Step-by-step explanation:
We know that x > 2 that means the line at x = 2 is dotted since there is no equals sign
We shade to the right since x is greater
Answer:
sea below
Step-by-step explanation:
Carlos buys a phone that costs $250. He pays a monthly rate of $75. Write a function f(×) for the total amount that Carlos pays for using the phone for x month
what is the slope of a line that goes through (4,5) and (-2,-4)
Answer
3/2
Step-by-step explanation:
(y2-y1)/(x2-x1)=(-4-5)/(-2-4)=-9/-6=3/2
75bdivided by 230 need this answer to
Answer:
0.32608696
Step-by-step explanation:
Ken and Leo weighed the same and their total weight was above 130 kg. After a year, Ken has lost 8 kg and is below 60 kg now. How heavy was Ken one year ago?
Answer:
68 kg
Step-by-step explanation:
313 multiplied by t is equal to 180
Answer:
t= 180/313 or 0.57507987
If Lara purchased 6 cups of blue paint for $48, what is the unit price per cup of blue paint? NEED TO BE ANSWERED TODAY
Answer:
The unit price per cup of blue paint would be $8
Step-by-step explanation:
because 6x8=48 soo each cup would be 8 dollars.
The bus routes in a city run on average every 15 minutes. The route times can vary by three minutes. Which absolute value equation can be used to find the maximum and minimum wait times at a bus stop?
Answer:
[tex]Max = 18\ mins[/tex]
[tex]Min = 12\ mins[/tex]
Step-by-step explanation:
Given
[tex]Time = 15\ mins[/tex]
[tex]Variation = 3\ mins[/tex]
Required
Determine the max and min values
The max value is calculated as thus:
[tex]Max = Time + Variation[/tex]
[tex]Max = 15\ mins + 3\ mins[/tex]
[tex]Max = 18\ mins[/tex]
The min value is calculated as thus:
[tex]Min = Time - Variation[/tex]
[tex]Min = 15\ mins - 3\ mins[/tex]
[tex]Min = 12\ mins[/tex]
what is 6 feet below sea level
Answer:
-6
Step-by-step explanation:
Answer:
-6
Step-by-step explanation:
sea level is 0 and below sea level would have to be a negative and you would takr the number of feet below sea level and that would be your answer in this case its -6
5,5,3 Is this a triangle? Explain.
8,8,8,Is this a triangle? Explain.
7,8,15 Is this a triangle? Explain.
5,6,10 Is this a triangle? Explain.
Please help me figure these problems out with the correct answers the last guy said they were all not triangles and my teacher said they were incorrect who ever answers and explains correctly gets 31 points and gets marked brainliest you have all the time you need so answer wisely. This shouldn't take long don't answer something your not similar with.
Problem 1
Answer: Yes a triangle can be formed with side lengths 5,5,3
--------------------
Explanation:
Take any two sides and add them up. If we get a sum larger than the third side, then a triangle is possible. This is the triangle inequality theorem.
5+5 = 10 is larger than 3
5+3 = 8 is larger than 5
This shows a triangle is possible. The triangle is isosceles because two sides are the same length.
==========================================================
Problem 2
Answer: Yes a triangle can be formed with side lengths 8,8,8
--------------------
Explanation:
This triangle is equilateral because all sides are the same length.
Take any two sides, add them up, and you'll find the sum is larger than the third side.
==========================================================
Problem 3
Answer: No a triangle cannot be formed with sides 7,8,15
--------------------
Explanation:
Yes it is true that
8+15 = 23 is larger than 7
7+15 = 22 is larger than 8
but
7+8 = 15 is not larger than 15
So this means a triangle is not possible.
Imagine you had 3 strips of paper that were 7 inches, 8 inches and 15 inches long. The 7 and 8 inch strips add to 15 inches, but those two smaller strips only form a straight line. We cannot pull them so a triangle forms. If we did, then the third side would be smaller than 15 inches. This is one way to get hands on to see why the triangle inequality theorem works.
==========================================================
Problem 4
Answer: Yes a triangle is possible with side lengths 5,6,10
--------------------
Explanation:
Same idea as before. We can take any two sides, add them, and get a sum larger than the third side. A triangle is possible.
5+6 = 11 is larger than 106+10 = 16 is larger than 55+10 = 15 is larger than 6Question Details
What is the slope of a line that passes through the
points (-2, 12) and (-6, 8)?
Answer:
m = 1
Step-by-step explanation:
Use the given points to solve the slope formula.
(-2, 12) (-6, 8)
[tex]m=\frac{y2-y1}{x2-x1}[/tex]
m is the slope, x is the first number in the given point, and y is the second. (It doesn't matter which point you choose to be x1,y1 or x2,y2)
[tex]m=\frac{8-12}{-6-(-2)}[/tex] (subtracting negative cancels out and becomes adding a positive)
[tex]m=\frac{-4}{-4}[/tex] (the negatives cancel out and become positive)
m = 1
Help with this (calculus)
(a) h(t) is quadratic, so we can complete the square to write
h(t) = 100 + 40 t - 5 t²
h(t) = 100 - 5 (t² - 8 t)
h(t) = 100 - 5 (t² - 8 t + 16 - 16)
h(t) = 100 + 80 - 5 (t² - 8 t + 16)
h(t) = 180 - 5 (t - 4)²
The squared quantity is always non-negative, which means h(t) has a maximum value of 180 m.
(b) First, find when the projectile hits the ground, which happens when h(t) = 0:
0 = 180 - 5 (t - 4)²
180 = 5 (t - 4)²
36 = (t - 4)²
± 6 = t - 4
t = -2 OR t = 10
Omit the negative solution. The velocity of the ball at t = 10 s is equal to the derivative at the point, h' (10).
[tex]h'(10)=\displaystyle\lim_{t\to10}\frac{h(t)-h(10)}{t-10}[/tex]
[tex]h'(10)=\displaystyle\lim_{t\to10}\frac{(180-5(t-4)^2)-80}{t-10}[/tex]
[tex]h'(10)=\displaystyle\lim_{t\to10}\frac{100+40t-5t^2}{t-10}[/tex]
[tex]h'(10)=\displaystyle-5\lim_{t\to10}\frac{(t+2)(t-10)}{t-10}[/tex]
[tex]h'(10)=\displaystyle-5\lim_{t\to10}(t+2)=-60[/tex]
So the projectile has a downward velocity of 60 m/s at the moment it touches the ground.
Hello!
Find the maximum height by finding the maximum of the function, where the derivative switches from positive to negative. Find the derivative of the equation:
h(t) = 100 +40t -5t²
Power rule:
h'(t) = 40 - 10t
Set the equation equal to 0:
0 = 40 - 10t
-40 = -10t
t = 4
Test values on both sides of 4 to ensure that there is a maximum at this x value:
40 - 10(3) = 10
40 - 10(5) = -10
Therefore, the derivative switches from positive to negative. There is a maximum at t = 4. Find the height by plugging in this value for time into the original equation:
h(4) = 100 + 40(4) - 5(4)²
h(4) = 100 + 160 - 80
h(4) = 180 meters
Find the velocity when it hits the ground. Begin by finding the time necessary for the object to hit the ground:
0 = 100 + 40t - 5t²
Rearrange and factor:
0 = -5t² + 40t + 100
0 = (5t + 10)(-t + 10)
Set each factor equal to 0:
5t + 10 = 0
t = -2
-t + 10 = 0
t = 10
Therefore, the object takes 10 seconds to reach the ground. Plug this into the derivative of the equation (solved for earlier), which is the velocity:
h'(t) = 40 - 10t
h'(10) = 40 - 10(10)
h'(1) = -60 m/s. This is the *downward* velocity when the object hits the ground.
write an equation to solve for x you are only writing the equations 8x+10 12x-18
Answer:
x = 7Step-by-step explanation:
Required equation
8x + 10 = 12x - 18Solving for x
12x - 8x = 10 + 184x = 28x = 28/4x = 7The product of two even numbers is always divisible by 4 true or false
Answer:
It is true.
Step-by-step explanation:
4*8 = 32, which is divisible by 4.
222*608 = 134 976, which is divisible by 4.
Analyze the biconditional statement below and complete the instructions that follow.
A polygon is a pentagon if and only if it has five sides.
Express the given biconditional as the conjunction of two conditionals.
A.
If it is a pentagon, then it has five sides. If it is a polygon, then it is a pentagon.
B.
If it is a pentagon, then it is a polygon. If it is a polygon, then it is a pentagon.
C.
If it is a pentagon, then it is a polygon. If it is a polygon, then it has five sides.
D.
If it is a pentagon, then it has five sides. If the polygon has five sides, then it is a pentagon
Answer:
A polygon is a pentagon if and only if it has five sides."If this statement is true, then which of the follow… Get the ... The given statement is of the form
Step-by-step explanation:
hope it helps you
❤❤❤❤❤
Answer:
D. If it is a pentagon, then it has five sides. If the polygon has five sides, then it is a pentagon
Step-by-step explanation:
Given statements;
A polygon is a pentagon if and only if it has five sides.
From the statement we see that a pentagon has 5 sides. A body of this structure with 5 sides can be classified as a polygon.
Therefore, this bi-conditional statement is premised on two "if"s,
If it is a pentagon then we are dealing with a body with 5 sides.
And if such body has five sides, it is a polygon called pentagon
The correct option is D
Choice A, B and C are logically flawed.
A. If it is a pentagon, then it has five sides. If it is a polygon, then it is a pentagon.
The emboldened part we do not know.
B. If it is a pentagon, then it is a polygon. If it is a polygon, then it is a pentagon
The emboldened part is flawed.
C. If it is a pentagon, then it is a polygon. If it is a polygon, then it has five sides.
We do not know if all pentagons have 5 sides.
please help me!!! I will make you brainiest!!!
Answer:
C
Step-by-step explanation:
y-intercept is 3 down and slope is the same
Which table represents a linear function?
Х
1
2.
3
4
y
3
7
11
15
o
Х
1
2.
3
4
у
3
8
15
21
х
1
2.
3
4
y
3
9
3
9
Х
1
2
3
у
3
9
27
Answer: D
I believe :0
The table which represents a linear function is table 4.
What is a function?
Function is a type of relation, or rule, that maps one input to specific single output.
In mathematics, a function is an expression, rule, or law that describes the relationship between one variable (the independent variable) and another variable (the dependent variable) (the dependent variable). In mathematics and the physical sciences, functions are indispensable for formulating physical relationships.
Linear function is a function whose graph is a straight line
We are given that;
The tables in the question
Now,
The table that represents a linear function is:
X Y
1 3
2 7
3 11
4 15
The reason this is a linear function is that for each increase in the input value of X by 1, the output value of Y increases by a constant amount of 4. In other words, the rate of change of Y with respect to X is constant at 4, indicating a linear relationship between the two variables.
Therefore, the answer of the function will be table 4.
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The median starting salary for new law school graduates is determined by
log(salary) = B0 + B1 LSAT + B2 GPA + B3 log(libvol) + b4 log(cost) + B5 rank + u,
where LSAT is the median LSAT score for the graduating class, GPA is the median college. GPA for the class, libvol is the number of volumes in the law school library, cost is the annual cost of attending law school, and rank is a law school ranking (with rank = 1 being the best).
i. Explain why we expect b5 < 0.
ii. What signs do you expect for the other slope parameters? Justify your answers.
iii. Using the data in LAWSCH85.RAW, the estimated equation is log(salary ) = 8.34 + .0047 * LSAT + .248 GPA + .095 log(libvol) + .038 log(cost) - .0033 rank n = 136, R^2 = .842
What is the predicted ceteris paribus difference in salary for schools with a median GPA different by one point? (Report your answer as a percentage.)
iv. Interpret the coefficient on the variable log(libvol).
v. Would you say it is better to attend a higher ranked law school? How much is a difference in ranking of 20 worth in terms of predicted starting salary?.
Step-by-step explanation:
1) we would have the expectation that b₅ < 0 because b₅ shows how salary responds to law school ranking. As the rank of law school increases then median starting salary for new law school graduates declines. there is an inverse relation between salary and rank, Coefficient of rank, b5 will be negative since it is less than 0
ii) B₁ is going to be positive because as median LSAT score for the graduating class goes up, so does the salary of graduates. we have B1 >0
B₂ will be positive as college median GPA rises, so does graduate salary.
B₃ will be positive because if the more volumes of book in library, the greater possibility of getting higher salary, so B₃ >0.
B₄ >0 as if annual cost is high , then there would be indictaes more facilities of learning for students, leading to more chances of high salaries , hence B4 >0.
B5<0 this has been explained in 1.
iii) predicted ceteris paribus difference in salary for schools with a median GPA different by one point
= coefficient of GPA
=0.248
= this 24.8% in percentages B₂ tells us that when other factors are held constant,increasing median gpa by 1 would cause 24.8 percent increase in salary predicted.
iv)holding other variable factors constant, increasing the volume in the law library would bring about predicted salary increase by 0.095%
v) due to the inverse relationship between rank of law school and salary, it is better to attend a law school with lower rank than that with higher rank
difference in ranking of 20 = 20*(-0.0033)
= -0.066 x 100
= -6.6%
if rank is lower by 20 units , then we will have salary to be 6.6% higher
5/8 + (-7/8) how do i get the answer
Answer:
-0.25 = -1/4Step-by-step explanation:
The answer ( depending on what you're asking ) either fraction or decimal is this:
Decimal: -0.25
Fraction: -1/4
Hope this helps! <3
Answer:
Your answer is - 1/4
Step-by-step explanation:
I'm the best at math my grade is 100 so believe me
A ship travels 200 miles due west, then adjusts its course 30° north of west. The ship continues on this course for 30 miles. Approximately how far is the ship from where it began?
Answer:
The answers D on Edg
Step-by-step explanation:
Just finished the test
The distance of the ship from the beginning is 226.48 miles far apart.
What is a triangle?A triangle is a flat geometric figure that has three sides and three angles. The sum of the interior angles of a triangle is equal to 180°. The exterior angles sum up to 360°.
For the given situation,
The diagram below shows the travelling of ship from A to C.
Let sides a = 30 miles, c = 200 miles,
The measure of angle B is [tex]\angle CBA = 180-30[/tex] [∵ Supplementary angle]
⇒ [tex]\angle CBA = 150[/tex]
Here two sides and one angle of triangle are provided.
The other side of the triangle, that is the distance traveled by the ship can be found by using the law of cosines.
The formula of law of cosines,
[tex]b = \sqrt{a^{2}+c^{2}-2ac (cosB ) }[/tex]
On substituting the values,
⇒ [tex]b = \sqrt{30^{2}+200^{2}-2(30)(200) (cos150 ) }[/tex]
⇒ [tex]b = \sqrt{900+40000-12000(-0.8660 ) }[/tex]
⇒ [tex]b = \sqrt{40900+10392 }[/tex]
⇒ [tex]b = \sqrt{51292}[/tex]
⇒ [tex]b=226.477[/tex] ≈ [tex]226.48[/tex]
Hence we can conclude that the distance of the ship from the beginning is 226.48 miles far apart.
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How to solve: -x=14.
Answer:
x=-14
Step-by-step explanation:
Multiply each term in − x = 14 by − 1
Answer:
-14
Step-by-step explanation:
-x + 2 = x+4
help please!
Answer:
x=-2
Step-by-step explanation:
hope this helps
follow me
Answer:
-1
Step-by-step explanation:
-x + 2 = x+4
-x-x = 4-2
-2x = 2
x= 2/-2
x= -1
hope it will help......
The value of y is directly proportional to the value of x.If y=35 when x=140, what is the value of y when x=70
Divide x²-14× +45 by X-9
If p(x) = 2x2 – 4x and q(x) = x – 3, what is (p circle q) (x)?
Helpppp ASAPP!!!
The measure of an angle is 28°. What is the measure of its supplementary angle?
Answer:
Step-by-step explanation:
90 - 28 = 62 is the measure of 28° supplementary angle
Answer:
its 152
Step-by-step explanation:
For functions f(x)=x^2−5x−24 and g(x)=x+3, find a. (fg)(x) b. (fg)(−3)
One marble is randomly selected from a jar containing 3 red,4 green,2 black,and 6 blue marbles.Find the probability.
Answer:
ratio bozo
Step-by-step explanation:
PLSSSS HELP URGENTLY!Explain the Error
Find the error in the solution, and then solve it correctly.
7x + 21 + 9x = 2
7x + 21 = -7
7x = -28
-28
X =
7
(select) was subtracted from the left side, but (select) was subtracted from the
right side. The Subtraction Property of Equality states that you can subtract the
same number from each side and the equation will remain true. But 9x and 9 are
not the same number (unless x is (select)).
x =
Answer:
The correct value of x will be "[tex]-\frac{19}{16}[/tex]". The further explanation is given below.
Step-by-step explanation:
The given equation is:
⇒ [tex]7x + 21 + 9x = 2[/tex]
⇒ [tex]16x+21=2[/tex]
On subtracting "21" from both sides, we get
⇒ [tex]16x+21-21=2-21[/tex]
⇒ [tex]16x=-19[/tex]
⇒ [tex]x=-\frac{19}{16}[/tex]
What laws being modeled?
Answer:
law of contrapositive
Step-by-step explanation: