Answer:
x = 10
y = 6
Step-by-step explanation:
Multiply second equation with -1 and then add it up with first equation
(-1)*(6x - 7y) = 18
-6x + 7y = -18
6x - 6y - 6x + 7y = 24 - 18 add like terms
y = 6 to find the value of x use this information
6x - 6y = 24 replace y with 6
6x - 6*6 = 24
6x - 36 = 24 add 36 to both sides
6x = 60 divide both sides by 6
x = 10
y=5/9x+9, find the slope
Identify the common difference of the sequence: –8, –1, 6, 13,
They are skipping -7, 5, -7.
The common difference of the sequence is 18.
Simplify the expression by combining like terms.
6x + 9 + 2x + 4
Does anyone know the answer?
Answer:
8x + 13
Step-by-step explanation:
"Like terms" means the same kind of algebraic expression...the 6x and the 2x are "like terms" because they both have an x in them. The 9 and the 4 are both constants, which means they are plain numbers. So 6x and 2x is 8x .
9+4 is 13 just like elementary school.
So all together,
6x + 9 + 2x + 4
6x + 2x + 9 + 4
8x + 13
We can rearrange the terms because the problem has all addition in between the terms.
6. The California Tiger Salamander is an endangered species, which decreases at the rate of 4.6% per year in a habitat that currently has 60 of them. Write an exponential function and find how many California Tiger Salamanders will be left after 4 years.
7. Factor and solve the following equation 2x2 + x - 21 = 0.
8. Alvin throws the football to a receiver who jumps up to catch the ball. The height of the ball over time can be represented by the quadratic equation -4.9t2 + 7.5t + 1.8 = 2.1 . This equation is based on the acceleration of gravity -4.9 m/s2, the velocity of his pass is 7.5 m/s and releases the football at a height of 1.8 meters, and the height where the receiver catches the ball of 2.1 meters. Put the equation in standard form and then solve by using the quadratic equation.
9. Examine the graph of f(x) and the table that contains values of g(x). Which function has a greater rate of change over the interval [0,2]? Explain your answer.
[tex]\rule{2000pt}{1000000pt}[/tex]
Madelyn hikes 190.5 meters up a
mountain. If she is 62% of the way
up, how tall is the mountain? Round
to the nearest whole meter.
It’s either C or D, but i’m pretty sure it’s C
Solve the Inequality for x.
-5x + 20 < 5
A) x > 5
B) x < 3
C) x > 3
D) x < -5
Thanks!!! :D
Answer:
x>3
Step-by-step explanation:
-5x+20<5
-5x<5-20
-5x<-15
5x>15
x>15/5
x>3
Answer:
A) x > 3
Step-by-step explanation:
[tex]-5x + 20 < 5\\\rule{150}{0.5}\\-5x + 20 - 20 < 5 - 20 \\\\-5x < -15 \\\\\frac{-5x < -15}{-5}\\\\\boxed{x > 3}[/tex]
If a triangle has a base of 6' and a height of 4' its third side would be what?
Answer:
≈7.2
Step-by-step explanation:
hope this helps
Which answer choice shows the expression below factored correctly?
9x–15
Answer:
[tex]3(3x-5)[/tex]
Step-by-step explanation:
First, you have to rewrite 9 as 3 * 3 and 15 as 3 * 5
Finally, you have to factor out the common term 3 to get [tex]3(3x-5)[/tex]
Hope this helps!
P.S next time list the answer choices it would help alot :)
Find the equation of a line which contains the point (2, 5) and is parallel to the line y = 3x + 5.
Answer:
The equation of a line which contains the point (2, 5) and is parallel to the line y = 3x + 5 is
y = 3x - 1
A line is parallel to another when they both have the same slope.
The two equations above have a common slope of 3.
I hope this helped. Have a good new year!
a*3a^(2) help quickly
Solve for X
5x-8
Answer is not 4.5 or 9/2
Answer:
[tex]{ \rm{5x - 8 < x + 10}} \\ \\ { \rm{5x - x < 10 + 8}} \\ \\ { \rm{4x < 18}} \\ \\ { \rm{x < 4.5}}[/tex]
Solving for x in the inequality gives us;
x < 4.5
InequalityWe are given the inequality;
5x - 8 < x + 10
The first step is to use addition property of equality to add 8 to both sides;
5x - 8 + 8 < x + 10 + 8
5x < x + 18
Use subtraction property of equality to subtract x from both sides to get;
5x - x < x + 18 - x
4x < 18
Using division property of equality, we have;
x < 18/4
x < 4.5
Read more on inequalities at; https://brainly.com/question/25275758
I SWEAR IF I GET ANOTHER LINK I WILL SCREAM Parth created a Box-and-Whisker Plot to show the average weight of the fish he caught over the weekend. What information from the 1st Quartile does the graph give you?
A. Three fourths of the fish he caught were larger than 22 pounds.
B. The average weight of the fish he caught was 40 pounds.
C. Three fourths of the fish he caught were less than 22 pounds.
D. The largest fish he caught was 63 pounds.
Answer:
C. Three fourths of the fish he caught were less than 22 pounds.
Step-by-step explanation:
Hope it helps! At least you didn't scream Imao
Answer:
C
Step-by-step explanation:
i answered so the other person gets the brainliest they deserve!
I NEED MORE HELP PLZZ
Answer:
1A: all real numbers
1B: x = {-3, 0, +18}
1C: (-3, 0) U [3, 18)
2A: h(x) = -1/160x^2 +1/2x
2B: focus: (40, -30); directrix: y = 50; axis of symmetry: x = 40
Step-by-step explanation:
1A:The graph is attached. The domain is all real numbers.
__
1B:The x-intercepts for x < 3 are the zeros of the quadratic:
x^3 -9x = 0
x(x^2 -9) = 0
x(x +3)(x -3) = 0 ⇒ x = 0, -3, +3 . . . . x=3 is not in the domain of this piece
The x-intercepts for x ≥ 3 are the zeros of the log function:
-log4(x -2) +2 = 0
log4(x -2) = 2 . . . . . . add log4(x -2)
x -2 = 4^2 . . . . . . . . . take the anti-log
x = 2 +16 = 18 . . . . . . add 2
The x-intercepts of g(x) are x = {-3, 0, +18}.
__
1C:The graph shows the function is positive on the intervals ...
(-3, 0) U [3, 18)
__
2A:The vertex of the curve is given as (40, 10). The vertical scale factor will make the function 0 at x=0.
h(x) = a(x -40)^2 +10
h(0) = 0 = a(-40)^2 +10 = 1600a +10
a = -10/1600 = -1/160 = -1/(4·40)
The equation of the parabola is ...
y = -1/(160)(x -40)^2 +10
In standard form, this is ...
y = -1/160x^2 +1/2x
__
2B:When we computed the leading coefficient (a) in Part A, we found it to be -1/(4·40). This corresponds to 1/(4p) where p=-40 is the focus to vertex distance. The negative sign means the focus is 40 units below the vertex, at (40, -30). The corresponding location of the directrix is 40 units above the vertex, at y=50.
Of course the axis of symmetry is the vertical line through the vertex: x = 40. These are shown in the second attachment.
What is the least common multiple of x^2-16 and
x^2+4x-32?
The least common multiple is the smallest expression that can be divided by both of the given expressions.
x^2 - 16 = (x - 4)(x + 4)
x^2 + 4x - 32 = (x + 8)(x - 4)
Both of the factored versions of the expressions have an (x - 4) in them. Thus, that will automatically be included in the LCM. Next, we have to include the (x + 4) and the (x + 8) in our LCM.
LCM = (x - 4)(x + 4)(x + 8)
Hope this helps! :)
Answer:
(x - 4)(x + 4)(x + 8)Step-by-step explanation:
Factorize the given expressions:
x² - 16 = x² - 4² = (x - 4)(x + 4)x² + 4x - 32 = x² + 8x - 4x - 32 = x(x + 8) - 4(x + 8) = (x - 4)(x + 8)The LCM is the product of all unique factors of both expressions:
(x - 4)(x + 4)(x + 8)12 cars in 15 hours how many cars is in 10 hours
Answer:
8Step-by-step explanation:
12 cars in 15 hours how many cars is in 10 hours
12 : 15 = x : 10
x = 12 * 10 : 15
x = 8
-------------------
check
12 : 15 = 8 : 10
0.8 = 0.8
the answer is good
helpp ☹️☹️ plsplspsospsl
Answer:
BRO BRING THE PHONE CLOSER TO THE SCREEN WE CANT SEE ANYTING
Step-by-step explanation:
Lamar wants to replace a glass window in his restaurant. The window is in the shape of a square. Its side lengths are 11 feet. Suppose glass costs $5 for each
square foot. How much will the glass cost to replace the window?
sa
x 5 ?
Answer:
55
55x11 = 55
(Meeting character limit)
Answer:
I believe it would be 605$
The given number line shows the solutions to which inequality
Answer:
B (x-7<-6)
Step-by-step explanation:
x < 1
factor this polynomial completely x^2-10x+25
x^2-10x+25
=x^2-5x-5x+25
x(x-5)-5(x-5)
=(x-5)(x-5)
x=5 , x=5
hope it's helpful to you
[tex]x^2 -10x +25\\\\=x^2 -2 \cdot 5 \cdot x +5^2\\\\=(x-5)^2\\\\=(x-5)(x-5)[/tex]
As Earth circulates the sun, it travels at a
speed of 20 miles per second. Convert
this speed to kilometers per second. At
this speed, how many kilometers will
Earth travel in 8 seconds? Assume that 1
mile is equal to 1.6 kilometers.
Find the value of x so that the line passing through (-3,7) and(x,5) has a slope of -4
Answer:
x= -5/2 or -5.2
Step-by-step explanation:
you know the equation: y=mx+b, so we can substitute the -3 for x, the 7 for y and the -4 for m:
7=-4(-3)+b
now solve:
7=12+b
subtract 12 on both sides:
b=-5
now what you want to do is substitute it in and solve for x:
y=-4x-5
so:
5=-4x-5,
solve:
10=-4x
x=-5/2!!!!!!!!!!!!!!
hope this helped :)
Karina uses the system of equations below to compare the monthly utility costs in July and December for electricity, x, and natural gas, y. 750x + 17y = 141.61 300x + 30y = 75.90 Karina solves the system using linear combination and arrives at the equation 116y = 96.28. She then solves this equation for y. Which statement explains Karina’s solution? The cost of natural gas is $0.17 per unit. The cost of natural gas is $0.20 per unit. The cost of natural gas is $0.72 per unit. The cost of natural gas is $0.83 per unit.
The correct statement is The cost of natural gas is $0.83 per unit.
The equations representing her utility costs in July and December are known as simultaneous equations. These equations have to be solved jointly in order to determine the cost of electricity and natural gas.
Given the equation gotten by Karina: 116y = 96.28
Where y represent the cost of natural gas
In order to determine the value of y, divide both sides of the equation by 116
y = 96.28 / 116
y = $0.83
To learn more about simultaneous equations, please check: https://brainly.com/question/25875552
3/2x-5=-4/7x+1/5 please
The value of x in the equation is 364/145
The equation is given as:
[tex]\frac 32x - 5= -\frac 47x + \frac 15[/tex]
Collect the like terms
[tex]\frac 32x + \frac 47x= 5 + \frac 15[/tex]
Take the LCM
[tex]\frac{21x + 8x}{14} = \frac{25 + 1}{5}[/tex]
Evaluate the sum
[tex]\frac{29x}{14} = \frac{26}{5}[/tex]
Cross multiply
[tex]145x = 364[/tex]
Divide both sides by 145
[tex]x = \frac{364}{145}[/tex]
Hence, the value of x in the equation is 364/145
Read more about equations at:
https://brainly.com/question/14323743
I need help I need help
Answer:
click on image
Step-by-step explanation:
click on the image
I thought of a number. My friend thought of a number too. A third of my number is a half of his number. Who's number is bigger?
Answer:
yoours
Step-by-step explanation:
thanks again for your time and consideration and I am a kid I am a kid
PLEASE HELP ILL GIVE BRAINLIESTTTT
Answer:
27
Step-by-step explanation:
Because OC biscts AOB, then COA=COB
Therefore AOB is twice COB
10x+4 = 2(6x-3)
10x+4 = 12x -6
2x = 10
x = 5
Therefore COA is 5x6-3 = 27
Answer:
9 degrees
Step-by-step explanation:
OK so we know that m<AOB is equal to the equation 10x+4. With this in mind, we also know that m<COB equals 6x-3. The ray OC intersects m<AOB, so this means that m<COB plus m<COA equals m<AOB.
First, we find m<COA by reversing the equation around to solve for m<COA.
m<AOB - m<COB = m<COA
Then, we Pug in the angles and solve.
m<AOB = 10x+4
m<COB = 6x-3
10x+4 - 6x-3 = 4x+1
Here is where things get interesting. See those 2 lines in each angle? That means they are equal in measure.
So what you do is simple, find what x equals in order to make this equation below true.
6x-3 = 4x+1
The answer for x is 2. So then just plug in to solve for m<COA and you're done!!
4(2)+1 =9
lil bonus: you can also get the same angle degree by plugging 2 into m<COB
aproxima a las unidades de mil y obtén los resultados estimados
Answer:
hi
Step-by-step explanation:
A car traveling at 48 mph overtakes a cyclist who is riding at 16mph had a 3 hour head start how far from the starting point does the car overtake the cyclist?
The car overtakes the cyclist at a distance of 72 miles from the starting point.
,Speed is the ratio of distance travelled to time taken. It is given by:
Speed = distance / time
Let the car overtake the cyclist at distance d and time t.
For the car:
48 = d / t
d = 48t
For the cyclist:
16 = d / (t + 3)
d = 16t + 48
48t = 16t + 48
32t = 48
t = 1.5 hours
d = 48(1.5) = 72 miles
The car overtakes the cyclist at a distance of 72 miles from the starting point.
Find out more on speed at: https://brainly.com/question/3004254
The function y = 4x + 3 describes Player A's
scores in a game of trivia, where x is the number of
questions answered correctly and y is the score. The function
represented in the table shows Player B's scores. What do
the rates of change tell you about how each player
earns points?
The rates of change of points earned by both players tell us that;
Player A gains more point than Player B does for each correct answer in this round.
We are told that x is the number of
number ofquestions answered correctly and y is the score.
Now, for player B;
For 1 correct answer, he got a score of 4
For 2 correct answers, he got a score of 5
For 3 correct answers, he got a score of 6
For 4 correct answers, he got a score of 7
This means that rate of change of Player B is;
3 points for every extra question answered correctly. .
Now, the formula for player A's points is;
y = 4x + 3
Rate of change of points here is gotten by finding the derivative. Thus;
dy/dx = 4
This means player A earns 4 points for every extra question answered correctly.
In conclusion, it mean that Player A gains more point than Player B does for each correct answer in this round.
Read more on slope intercept form of equation at; https://brainly.com/question/19249035
Solve the evens and I will mark you brainliest when available.
Answer:
The solution is in the photo