Answer:
(2, -4)
Step-by-step explanation:
Answer:
(2, -4)
Step-by-step explanation:
The solution to a system of equations is always going to be the point(s) where they intersect. To solve, use substitution and find each variable, x and y. Our final answer will be a set of coordinates (x, y). To plot this system, see the help image attached.
y = -x - 2
2x - y = 8
Substitute y to find x
2x - (-x - 2) = 8
2x + x + 2 = 8
3x = 6
x = 2
Substitute x to find y
y = -(2) - 2
y = -2 - 2
y = -4
Solution: (2, -4)
I hope this helps and God bless!
Help I know that I have to move 3x to 4x with will be -3x and then I will subtract it then I will be left with -x and then I'll be with -x -3 what do I do after ?
4x -3 = 3x
Answer:
[tex]\sf \boxed{\bold{x = 3}}[/tex]
Explanation:
4x -3 = 3xsubtract both sides by 4x
4x - 3 -4x = 3x - 4xgroup similar terms
4x - 4x - 3 = -xsimplify
-3 = -xdivide both sides by -1 or cancel out the negatives
x = 3Check:
4(3) -3 = 3(3)12 - 3 = 99 = 9L.H.S = R.H.S Thus x = 3 confirmed
Answer:
x = 3
Step-by-step explanation:
We are trying to move all terms that have x on one side of the equal sign and terms that do not have an x on the other side of equal sign.
terms with x = terms without x
4x -3 = 3x , subtract 3x from both side of the equation
4x -3x -3 = 3x -3x
4x -3x -3 = 0 , add 3 to both sides of the equation
4x -3x -3 + 3 = 0 + 3
4x -3x = 3 , combine like terms
x = 3
Or
We can think we move each term where we want it, yet keep in mind that once we cross the equal sign we change the sign of the term if addition or subtraction are the only operations involved.
4x -3 = 3x , 3x is positive so will become negative on the other side of the equal sign and -3 is negative so will become positive on the other side.
4x -3x = 3
x = 3
A car can be rented for $75 per week plus $0.15 per mile. How many miles can be driven if you have at most $180 to spend for weekly transportation
Answer:
60+0.5x <= 180
0.5x <= 120
x <= 240 miles
Step-by-step explanation:
Tony was on the bumper cars at the amusement park. He turned his steering wheel 25 degrees to bump his friend. How many one-degree turns is this?
100 one-degree turns
50 one-degree turns
2.5 one-degree turns
25 one-degree turns
Answer:
25 one degree turns
Step-by-step explanation:
if one degree is one degree than 25 degrees are 25 one degree turns since 25 divided by 1 equals 25
Answer:
25
Step-by-step explanation:
Richie worked the following hours last Thursday and Friday:
Thursday: 8 a.m. 70 11:30 a.m. and 12 p.m. to 3:45 p.m.
Friday: 8:45 a.m. to 11:30 a.m. and 12:30 p.m. to 3:15 p.m.
If Richie is paid $16 an hour, how much did he make total for Thursday and Friday?
Answer:
$308
Step-by-step explanation:
Hope this helped! :)
If this is wrong please comment below! :)
Thx!
What is greater -3 pi or -9
Robbie factored the following expression incorrectly. Identify his mistake, then write a few sentences
explaining to him how to fix it.
Answer:
3(3r - 4)(3r + 4)
Step-by-step explanation:
I can't see the writing very clearly.
This is the correct solution:
27r^2 - 48 Divide through by 3:
= 3(9r^2 - 16) 9r^2- 16 is the difference of 2 squares so:
= 3(3r - 4)(3r + 4)
The graph shows the location of point P and point R. Point R is on the y-axis and has the same y-coordinate as point P. P (n, 3). Point Q is graphed at (n, 2). The distance from point P to point Q is equal to the distance from point P to point R. What is the distance from point P to point Q? What is the value of n? Explain how you determined the distance from point P to point Q, and the value of n. Enter your answers and your explanations in the space provided.
Answer:
1
Step-by-step explanation:
have you smiled today? its very important:)
x≤8 which values satisfy that inequality
Answer:
8 and below
Step-by-step explanation:
Everything below 9
Answer:
Any real number less than or equal to 8;
for example:
8, 7, -100, π
20. Joshua sold a batch of tickets for carnival rides. The ratio of adult
tickets to child tickets was 2:5. After he sold another 70 adult tickets and
300 child tickets, the ratio changed to 1:3. How many adult tickets did
Joshua sell in total?*
What is the awnser
Step-by-step explanation:
a = original number of adult tickets
c = original number of child tickets
a/c = 2/5
a = 2c/5
(a+70)/(c+300) = 1/3
(2c/5 + 70)/(c + 300) = 1/3
2c/5 + 70 = (c + 300)/3
2c + 350 = 5(c + 300)/3
6c + 1050 = 5(c + 300) = 5c + 1500
c = 450
a = 2c/5 = 2×450/5 = 2×90 = 180
Joshua sold therefore in total
180 + 70 = 250 adult tickets.
and by the way
450 + 300 = 750 child tickets.
Find all angles, 0º < 0 < 360°, that satisfy the equation below, to the nearest 10th
of a degree.
2 tan^2(theta)+ tan(theta)= 0
[tex]2tan^2(\theta )+tan(\theta )=0\implies tan(\theta )[2tan(\theta )+1)]=0 \\\\[-0.35em] ~\dotfill\\\\ tan(\theta)=0\implies \theta=tan^{-1}(0)\implies \theta= \begin{cases} 0\\ 360^o \end{cases} \\\\[-0.35em] ~\dotfill\\\\ 2tan(\theta)+1=0\implies 2tan(\theta)=-1\implies tan(\theta)=-\cfrac{1}{2} \\\\\\ \theta=tan^{-1}\left( -\cfrac{1}{2} \right)\implies \theta \approx \begin{cases} \stackrel{180^o~~ - ~~26.57}{153.43^o}\\ \stackrel{360~~ - ~~26.57}{333.43^o} \end{cases}[/tex]
for the second pair of angles, the angle of reference is really about 26.57°. Now, the tangent is only negative in two quadrants, the II and IV Quadrants, using the angle of reference, it'd give us those angles.
Make sure your calculator is in Degree mode.
5. Which of the following is a function?
A. (1,7), (2,14), (3, 21), (1, 28)
B. (0, A), (5, B), (10, C), (15, D), (5, E)
C. (-5,1),(-10,1),(-15, 1), (-20,1),(-15,1)
D. (1, 1), (2, 2), (3, 3), (4,4), (5,5)
Answer:
D. (1, 1), (2, 2), (3, 3), (4,4), (5,5)
Hope this helps!
If tan (x) = 24/19 (in Quadrant 1), find
Give exact answers.
sin (x/2) =
cos(x/2) =
tan (x/2) =
If x is in quadrant I, then both sin(x) and cos(x) are positive. The angle x/2 also belongs to quadrant I, and hence each of sin(x/2), cos(x/2), and tan(x/2) are positive.
Recall that for all x,
cos²(x) + sin²(x) = 1
and multiplying through both sides by 1/cos²(x) = sec²(x) gives another flavor of this identity,
1 + tan²(x) = sec²(x)
It follows that
sec(x) = √(1 + tan²(x)) = √937/19
which immediately gives us
cos(x) = 19/√937
and from the identity above we find
sin(x) = √(1 - cos²(x)) = 24/√937
Recall the half angle identity for cos :
cos²(x) = (1 + cos(2x))/2
which means
cos(x/2) = + √[(1 + cos(x))/2] = √[1/2 + 19/(2√937)]
Then
sin(x/2) = + √(1 - cos²(x/2)) = √[1/2 - 19/(2 √937)]
and by definition of tan,
tan(x/2) = sin(x/2) / cos(x/2) = 1/12 √[649/2 - 19 √937/2]
Just to be clear, the solutions are
[tex]\cos\left(\dfrac x2\right) = \sqrt{\dfrac12 + \dfrac{19}{2\sqrt{937}}}[/tex]
[tex]\sin\left(\dfrac x2\right) = \sqrt{\dfrac12 - \dfrac{19}{2\sqrt{937}}}[/tex]
[tex]\tan\left(\dfrac x2\right) = \dfrac1{12} \sqrt{\dfrac{649 - 19\sqrt{937}}2}[/tex]
Read the paragraph below. Which would be the most helpful peer review comment to make about the writer’s style?
Wolves are a familiar animal in stories and movies. They are usually the bad animal. Some people think wolves are dangerous to people. But is this the truth? Wolves eat sheep and people don’t like that because they’re raising the sheep for themselves and some wolves can even take down cattle. Wolves make scary howls that can frighten people. But a sound can’t hurt you!
“You use the word “wolf” a lot. Can you find a more interesting way to say “wolf”?”
“I think wolves are scary, too. You’ll have to do more to convince me that they’re not!”
“I like your sentences about wolves, especially the ones where you describe how scary they are.”
“It would help me follow your ideas more easily if you broke up some of the longer sentences.”
Answer:
“I think wolves are scary, too. You’ll have to do more to convince me that they’re not!”
Step-by-step explanation:
There are two taxi cab companies in Redwood. Their charges are listed below.
Redwood Taxi
$2.00 for the first mile
plus
$1.00 for each additional mile
Max's Taxi Service
$5.00 for the first mile
plus
$0.50 for each additional mile
According to the graph below, for how many miles will the charges from both taxi cab companies be equal?
1. 8
2. 1
3. 7
4. 4
Fractions of a revolution
It starts at 12 and turns through 1/3 of a revolution
Answer:
1/3 of twelve is 4 so four must be the answer
Step-by-step explanation:
Solve the equation. Write the answer in terms of the natural logarithm.
e^(8x+9)=14
The Solution set is { }.
Type exact answer in simplified form.
Step-by-step explanation:
Take the natural logarithm of both sides;
8x+9 = ln (14)
Transposition;
8x= ln(14)-ln(e⁹)
[tex]x = \frac{ ln(14) - ln( {e}^{9} ) }{8} [/tex]
[tex]x = \frac{1}{8} ( ln(14) - 9)[/tex]
a trader buys 200 oranges for 60 kobo and sells them at 8 for 12 kobo.what is his gain
[tex]\qquad\qquad\huge\underline{{\sf Answer}}[/tex]
Let's solve ~
Cost price for each Orange :
[tex]\qquad \tt \dashrightarrow \: \dfrac{60}{200} [/tex]
[tex]\qquad \tt \dashrightarrow \:0.3 \: \: kobo[/tex]
Now, Cost price for 8 oranges :
[tex]\qquad \tt \dashrightarrow \:0.3 \times 8[/tex]
[tex]\qquad \tt \dashrightarrow \:2.4 \: \: kobo[/tex]
And we have been given that selling price for 8 oranges is 12 kobo.
Therefore, the gain is :
[tex]\qquad \tt \dashrightarrow \:12 - 2.4[/tex]
[tex]\qquad \tt \dashrightarrow \:9.6 \: \: kobo[/tex]
Percentage gain is ~
[tex]\qquad \tt \dashrightarrow \: \dfrac{9.6}{2.4} \times 100[/tex]
[tex]\qquad \tt \dashrightarrow \:4 \times 100[/tex]
[tex]\qquad \tt \dashrightarrow \:400 \: \%[/tex]
HELP PLS 50 PTS! Molly made a scaled copy of the following square. She used a scale factor greater than 1.
What could be the length of the scaled copy of the square?
Question 2 options:
18 units
10 units
27 units
20 units
Answer:
D. 27 units
Step-by-step explanation:
27 is greater than 20. The scale factor is more than 1, so the answer(s) have to be more than 1.
Last week, Pauline worked 35 hours and made $280.
How much money did Pauline make per hour?
Answer:
Pauline made $8 per hour last week.
Step-by-step explanation:
$280÷35=$8
X-2/x+3+10x/x^2-9
Simplify the sum
Answer:
(x+2)/(x−3)
Step-by-step explanation:
((x-2)/(x+3))+((10x)/(x+3)(x-3))
((x-2)(x-3)+10x)/(x+3)(x+3)
Brainliest if you can please
Select the correct answer.
The test predicts that the employee is in a sultable job. What is the probability that the employee is in a sultable job, glven the test's outcome?
A. 2450
B. 0.5568
C .8125
D. 0.9927
The answer is going to be c
Answer:
I believe it's C) 0.8125
Step-by-step explanation:
I’m sorry I don’t know how to explain it step by step
A bird drops a stick to the ground from a height of 90 ft. The function h=16ft^2+90 gives the sticks approximate height h above the ground, in feet, after t seconds. At about what time does the stick hit the ground? How many seconds does it hit the ground?
Answer:
The stick hits the ground 2.37 seconds after it is dropped.
Step-by-step explanation:
Your function is incorrect.
I will assume that the correct function is
h = -16t² + 90
When the stick hits the ground, its height is 0.
We are looking for the value of t, time, when h = 0.
Set h = 0, and solve for t.
h = -16t² + 90
-16t² + 90 = 0
-16t² = -90
t² = 5.625
t = 2.37
The stick hits the ground 2.37 seconds after it is dropped.
Is this right? Please help me!!
Answer:
Yes
Step-by-step explanation:
There are two green regions and two red regions which makes four regions in total. If there is an equal probability to land on each region, it means that the probability to land on a green region is 2/4 because there are two green regions out of the four total regions. You could also simplify it to 1/2.
Avery leans a 24-foot ladder against a wall so that it forms an angle of 80° with the
ground. How high up the wall does the ladder reach? Round your answer to the
nearest tenth of a foot if necessary.
Answer:23.6ft
Step-by-step explanation:
SOHCAHTOA
sin(80)=(o/24)
Multiply both sides by 24 and 24 on the right side will cancel out.
24sin(80)=23.6ft
The height of the wall where the ladder reaches will be 23.64 feet.
What is a right-angle triangle?It's a form of a triangle with one 90-degree angle that follows Pythagoras' theorem and can be solved using the trigonometry function.
Trigonometric functions examine the interaction between the dimensions and angles of a triangular form.
Avery leans a 24-foot ladder against a wall so that it forms an angle of 80° with the ground.
The height of the wall where the ladder reaches is given as,
sin 80° = h / 24
h = 24 x sin80°
h = 23.64 feet
The height of the wall where the ladder reaches will be 23.64 feet.
More about the right-angle triangle link is given below.
https://brainly.com/question/3770177
#SPJ2
The Perimeter of Rhombus WXYZ is 240 cm and XY = 5k + 10
What is the value of'k?
w
х
A +
(B) 9
(С 10
[7 7
(D2
E 16
Z
Find the volume of the cone. Round your answer to the nearest tenth. 7 ft, 4ft
Answer:
117.29 cubic feet
Step-by-step explanation:
* means multiplied by
V=π*r^2*(h/3)
V=π*4^2*(7/3)
V=3.14*16*(7/3)
V≈117.29
Which is an equation of the line that passes through
the points (5, 2) and (10, -3)?
Answer:
y = -x + 7
Step-by-step explanation:
Hi there!
We are given the following points:
(5,2) and (10,-3)
We want to find the equation of the line that passes through these 2 points
There are 3 ways to write the equation of the line, yet the most common way is slope-intercept form, which is y=mx+b (m is the slope and b is the y intercept).
First, let's find the slope of the line.
The slope can be calculated from 2 points using the equation [tex]\frac{y_2-y_1}{x_2-x_1}[/tex], where [tex](x_1, y_1)[/tex] and [tex](x_2, y_2)[/tex] are points
We have everything we need to find the slope, but let's label the values of the points to avoid confusion and mistakes.
[tex]x_1=5\\y_1=2\\x_2=10\\y_2=-3[/tex]
Now substitute these values into the formula to find the slope
m=[tex]\frac{y_2-y_1}{x_2-x_1}[/tex]
m=[tex]\frac{-3-2}{10-5}[/tex]
Simplify
m=[tex]\frac{-5}{5}[/tex]
Divide
m=-1
The slope of the line is -1
We can substitute this value as m in y=mx+b.
Here's the equation of our line so far:
y=-x+b
Now we need to find b
As the equation passes through the points (5,2) and (10,-3), we can use either point to find the value of b
Taking (5,2) for example:
Substitute 5 as x and 2 as y
2=-5+b
Add 5 to both sides
7=b
Substitute 7 as b in the equation
y = -x + 7
Hope this helps!
See more on this topic here: https://brainly.com/question/27166723
easy question for bonus ;)
Answer:
970,060
Step-by-step explanation:
i think this is correct-
Edit: i just realised the number was 907,060 ._.
976
Step-by-step explanation:
I need help on this ASAP.
The seattle great wheel is an illustration of sectors, arcs, circumference and area of circles
The circumference of the wheelThe diameter is given as:
d = 175 feet
The circumference (C) is calculated as:
C = πd
This gives
C = 3.14 * 175
C = 549.5 feet
Hence, the circumference of the wheel is 549.5 feet
The area of the wheelThis is calculated as:
A = π(d/2)^2
This gives
A = 3.14 * (175/2)^2
A = 24040.625
Hence, the area of the wheel is 24040.625 square feet
The central angle (degrees)This is calculated as:
θ = 360/n
Where n is the number of capsules
So, we have:
θ = 360/42
This gives
θ = 8.57 degrees
Hence, the central angle of the wheel in degrees is 8.57
The central angle (radians)This is calculated as:
Radians = Degrees × π/180
So, we have:
θ = 360/42 * π/180
This gives
θ = π/21 rad
Hence, the central angle of the wheel in radians is π/21 rad
Arc length between two capsulesThis is calculated as:
L = θ * d/2
So, we have:
L = π/21 * 175/2
This gives
L = 175π/42
Hence, the arc length between two capsules is 175π/42
Area of sector between two capsulesThis is calculated as:
A = 0.5 * (d/2)^2 * θ
So, we have:
A = 0.5 * (175/2)^2 * π/21
This gives
A = 168π
Hence, the area of sector between two capsules is 168π
Read more about sector areas and arc lengths at:
https://brainly.com/question/4115882
Which function is the inverse of f(x) = -5x-4?
Answer:
B
Step-by-step explanation:
Since g(f(x))=x g ( f ( x ) ) = x , f−1(x)=x5+45 f - 1 ( x ) = x 5 + 4 5 is the inverse of f(x)=5x−4 f ( x ) = 5 x - 4 .
Answer:
B. [tex]-\frac{1}{5} x+\frac{4}{5}[/tex]
Step-by-step explanation:
1. Rewrite the function as a linear equation:
y = -5x - 4
2. Swap x and y:
x = -5y - 4
3. Solve for y:
x+4 = -5y - 4+4
x + 4/-5 = -5y/-5
[tex]\frac{x+4}{-5}[/tex] = y can be rewritten as [tex]-\frac{1}{5} x+\frac{4}{5}[/tex]
4. Write in inverse notation:
f(x) = [tex]-\frac{1}{5} x+\frac{4}{5}[/tex]
Therefore, B is the answer.