Here is a system of equations. y=2x-1 y=-x-4 Graph the system. Then write its solution. Note that you can also answer "No solution" or "Infinitely many" solutions.
Answers
Answer:
The solution of the given system is: (-1,-3)
Step-by-step explanation:
Given equations are:
[tex]y = 2x-1\\y = -x-4[/tex]
Solving a system using graph means plotting the lines represented by the system of equations and then finding out where the lines intersect. If the lines intersect at only one point, that point is solution of the system.
We have used the online graphing calculator "Desmos" plot the lines.
Manually, the points can be obtained by substituting values of x in both equations
In the attached picture, the red line represents the first equation and the blue line represents the second. Both lines intersect at (-1,-3)
Hence,
The solution of the given system is: (-1,-3)
Related Questions
V = u + at
u=2 a=-5 t=
Work out the value of v.
Answers
Answer:
You may want to check your question but I've solved various circumstances. Please mark as brainliest :-)
Step-by-step explanation:
[tex]v = 2 - 5t [/tex]
Although, I think you're meant to find time(t) making velocity (v) =0. So,
[tex]0 = 2 - 5t \\ - 2 = - 5t \\ t = - 2 \div - 5[/tex]
If time is 0, then,
[tex]v = 2 - 0 \\ v = 2[/tex]
V=2-5t
V=-3t
what is the answer for 6.8×10²
Answers
Answer:
680
Step-by-step explanation:
Answer:
680
Step-by-step explanation:
10 to the 2nd power is 10 times 10 which is 100.
Now, 6.8 times 100 is 680.
Hope this helps you!!
The cost of a gym membership is a onetime joining fee of $140, plus a monthly fee of $40. Joe wrote a $500 check to pay his gym membership for a certain number of months, including the onetime fee. How many months of membership did he pay for?
Answers
c
a
=
$
10
m
+
$
15
The cost of membership at gym B can be written as:
c
b
=
$
4
m
+
$
40
Where
c
g
y
m
is the cost after
m
months.
To find when the cost is equal, equate the right side of both equations and solve for
m
:
$
10
m
+
$
15
=
$
4
m
+
$
40
Next, subtract
$
15
and
$
4
m
from each side of the equation to isolate the
m
term while keeping the equation balanced:
−
$
4
m
+
$
10
m
+
$
15
−
$
15
=
−
$
4
m
+
$
4
m
+
$
40
−
$
15
(
−
$
4
+
$
10
)
m
+
0
=
0
+
$
25
$
6
m
=
$
25
Now, divide each side of the equation by
$
6
to solve for
m
while keeping the equation balanced:
$
6
m
$
6
=
$
25
$
6
$
6
m
$
6
=
$
25
$
6
m
=
25
6
m
=
4.17
At 4 months the cost of the two gym memberships will be about the same.
a coin is tossed 4 times, find the probability of getting 4 heads.
Answers
Answer:
1/16
Step-by-step explanation:
The probability of getting heads with 1 coin toss is 1/2.
For 4 tosses, the probability is 1/2 * 1/2 * 1/2 * 1/2 = 1/16
i need help yall i dont understand this
Answers
(Has, Have) the books or other supplies come?
has or have?
Answers
Answer:
have
Step-by-step explanation:
Have is used alongside plural nouns , And has is used alongside singular nouns. So books and supplies are plural so you use have
A particular asteroid moves at a speed of 55,000 miles per hour . How many hours will it take the asteroid to travel a distance of 4.62x 10^5 miles ?
Answers
Answer:
8.4 hours
Step-by-step explanation:
Given that:
Speed of asteroid = 55000 miles/hr
Distance traveled by asteroid = 4.62 [tex]\times[/tex] [tex]10^5[/tex] miles
We are required to find here how many hours the asteroid will take to travel the given distance with the given speed.
Formula for speed can be given as following:
[tex]Speed = \dfrac{Distance}{Time}[/tex]
OR, the formula for time in terms of speed and distance can be given as following:
[tex]Time= \dfrac{Distance}{Speed}[/tex]
Putting the given values in the formula to find the Time:
[tex]Time= \dfrac{4.62\times 10^5}{55000}\\\Rightarrow \bold{Time = 8.4\ hours}[/tex]
what is the area of a rectangle that has a height of 7x^2 and a width of 3x^2+8x+7
Answers
Answer:
21x^4 + 8x + 7
Step-by-step explanation:
This is the answer because:
1) Simplify each term and multiply like terms and multiply them because in order to find the area we have to multiply the height and width.
2) Since we have to multiply like terms, 7x^2 and 3x^2 are the only like terms. Therefore, we multiply 7x^2 * 3x^2 = 21x^4.
3) The rest of the numbers are not like terms.
4) Therefore, the answer is 21x^4 + 8x + 7
Hope this helps!
Amy's car gets 32 miles per gallon. If her car's tank holds 15 gallons of gas, and she wants to keep a minimum of 1 gallon of gas in the tank for safety, how far (in miles) can Amy drive after filling up before she needs to fill up again?
Answers
Answer:
478miles
Step-by-step explanation:
32=1gallons 32×15 = 510miles
15g
510- 32= 478miles
Can anybody help me with this?
Answers
Answer:
Ah yes that is a reflection because all of the points were reflected on the y axis
Help stat please.Brainlist for the best ansmwer
Answers
(-9/8)x-7=-25
Multiply both sides by 8
-9x-56=-200
Move the constant to the right
-9x=-200+56
-9x=-144
-9x/-9=-144/9
x=16
consider the equation x-y=-1 ..calculate the value of y if x =1
Answers
Answer:
y = 2
Step-by-step explanation:
For the equation x - y = -1, if x = 1,
then we would plug that in to solve for the y value
1 - y = -1
Subtract 1 from both sides to find y
-y = - 2
Divide by -1 to find y
y = 2.
To double check our answer we would plug in our x-value and y-value into the equation
1 - 2 = -1
This is true, so our answer is y = 2
Answer:
y = 2
Step-by-step explanation:
x - y = -1
1 - y = -1
1 + 1 - y = 0
2 - y = 0
2 = y
y = 2
A taxi ride costs $4 plus an additional $3 per mile. Write the equation for the line in slope-intercept form
Answers
Answer:
y=3x+4
Step-by-step explanation:
4 is your y-intercept, and 3 is your slope.
The linear function shows the total cost will be y = 3x + 4.
What is a linear function?A straight line on the coordinate plane is represented by a linear function.
A linear function always has the same and constant slope.
The formula for a linear function is f(x) = ax + b, where a and b are real values.
As per the given,
A taxi ride costs $4 plus an additional $3 per mile.
Let's say the number of miles is represented as x while the total cost is represented as y.
y = 3x + 4
Hence "The linear function shows the total cost will be y = 3x + 4".
For more about the linear function,
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BD bisects ABC.
Find mZABD, mZCBD, and m ZABC.
A
(3x + 6°
D
B (7x – 18)°C
Answers
The answer is 43 because when you multiply 6x6 you get 36 and if you add 6 more you get 42 which is one less that 43
A recipe uses 150g butter, 500g sugar, and 100g currants to make 18 small cakes?
a. how many of each ingredient will be needed to make 6 dozen cakes
b. how many whole cakes could be made with 1kg of butter
Answers
Answer:
a. The following will be needed to make 6 dozen cakes:
Number of grams of butter needed = 600g
Number of grams of sugar needed = 2,000g
Number of grams of currants needed = 400g
b. The number whole that cakes could be made with 1kg of butter is still 18 whole cakes.
Step-by-step explanation:
a. how many of each ingredient will be needed to make 6 dozen cakes
This can be calculated as follows:
One dozen = 12
Number of small cakes in 6 dozen cakes = 6 * 12 = 72 small cakes
Number of 18 small cakes that can be obtained from 72 small cakes = 72 / 18 = 4
Therefore, we multiply each ingredient by 4 to obtain the number oof each ingredient that will be needed to make 6 dozen cakes as follows:
Number of grams of butter needed = 150 * 4 = 600g
Number of grams of sugar needed = 500 * 4 = 2,000g
Number of grams of currants needed = 100 * 4 = 400g
b. how many whole cakes could be made with 1kg of butter
Ordinary in terms of measurement, we have:
1kg = 1,000g
Since it is not indicated in the question that additional grams of other ingredients are made available, only 150g butter will be used out of the 1,000g butter made available together with already available 500g sugar and 100g currants to make just 18 cakes. This implies that no additional whole cakes will be made to add to the current 18 small cakes that is being made. Additional whole cakes would only be made when additional grants of sugar and currants are made available.
Therefore, the number whole that cakes could be made with 1kg of butter is still 18 small cakes.
answer and show work
Answers
3x+2/4>-20
3x+2>-80
3x>-80-2
3x>-82
x>-82/3
Also simplified to, x>-27 1/3
Which graph represents the solution set of the inequality
-3b - 15 > - 24
(Choose 1 answer)
Answers
Answer:
A
Step-by-step explanation:
b<3
The solution graph of the given inequality is graph 1.
What is an inequality?An inequality is a relation which makes a non-equal comparison between two numbers or other mathematical expressions. It is used most often to compare two numbers on the number line by their size.
Given that, an inequality -3b - 15 > - 24, we need to graph its solution,
-3b - 15 > - 24
Add 15 both sides,
-3b-15+15 > -24+15
-3b > -9
b < 3
Since, the sign does not include equal to (> or <), the circle will be unfilled.
And the solution will be all the number less than 3,
Therefore, the graph with the unfilled circle, having the arrow with head facing left will be the solution.
Hence, the solution graph of the given inequality is graph 1.
Learn more about inequality click;
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What is the fraction equivalence of 4.8?
Answers
Answer:
48/10
Step-by-step explanation:
WILL MARK BRINLIST Which pairs of angles are congruent because they are vertical angles? Check all that apply. 7373 34 56 21 and 24 pls don't joke
Answers
Answer:
B, D represent pairs of vertical angles.
___
Other pairs may be congruent, but they are not vertical angles. The lines that look parallel must be assumed to be NOT parallel, because they are not marked in the diagram as being parallel. Thus ∠8 ≠ ∠12, for example.
- sqdancefan
Solve for the value of c.
Answers
Answer:
c = 11
Step-by-step explanation:
2c+8+6c-6 = 90 ( the angle measure of the two angles)
8c+2 = 90
8c = 88
c = 11
Help plz !!!!!!!!!!!!!!
Answers
Answer:
88
Step-by-step explanation:
Hope this helps
plzz mark brainliest
There are 420 students . The ratio from girls to boys is 4- 3 . How many more girls?
Answers
The length of a rectangular dog run is 2 feet more than twice the width, w, and the perimeter of the dog run is 32 feet. Solve the equation
2w + 2(2w + 2) = 32 to find the width, w, of the dog run. Then find the length, 2w+2, of the dog run.
Answers
Answer:
The width is:
width = 4.7 feetThe length is:
length = 11.3 feetStep-by-step explanation:
Given the equation
[tex]2w\:+\:2\left(2w\:+\:2\right)\:=\:32[/tex]
[tex]2w+4w+4=32[/tex] ∵ [tex]a\left(b+c\right)=ab+ac[/tex]
Add similar elements: 2w+4w=6w
[tex]6w+4=32[/tex]
subtract 4 from both sides
[tex]6w+4-4=32-4[/tex]
[tex]6w=28[/tex]
Divide both sides by 6
[tex]\frac{6w}{6}=\frac{28}{6}[/tex]
[tex]w=\frac{14}{3}[/tex]
Hence, the width is:
[tex]w=\frac{14}{3}[/tex]
w = 4.7 feet
Therefore, the width is: 4.7 feet
As the length is:
2w+2 = 2(14/3)+2
= 28/3 + 2
= 34/3
= 11.3 feet
Therefore, the length is: 11.3 feet
SUMMARY:
The width is:
width = 4.7 feetThe length is:
length = 11.3 feet33.366 divided by 6.7
Answers
Answer:
Step-by-step explanation:
33.366/6.7= 4.98
The county fair is a popular field trip destination. This year the senior class at High School A and the
senior class at High School B both planned trips there. The senior class at High School A rented and
filled 9 vans and 10 buses with 659 students. High School B rented and filled 8 vans and 8 buses with
536 students. Every van had the same number of students in it as did the buses.
Find the number of students in each van and in each bus.
Van 12. Bus: 52
Van: 16, Bus: 75
Van 7. Bus:41
Van: 11. Bus: 56
Answers
Answer:
35
Step-by-step explanation:
31 = 9/3+6 solve the equation
Answers
Answer:
This question doesn't really make sense...
Step-by-step explanation:
Please try to correct it.
Answer:
9 is the answer
Step-by-step explanation:
1. 31 = 9/3+6 <------- This is the original equation.
2. 31 = 3+6 <------- Simplify the fraction.
3. 31 = 9 <-------- This is the final answer.
Hope this helps! I did the best I could. :)
Which equation represents the polar form of x – y = 0?
A. θ = 0
b. Theta = pi/4
c. Theta = 3pi/4
d. θ = π
Answers
Your question: "Which equation represents the polar form of x – y = 0?"
Answer:
b. Theta = pi/4
We want to write an equation that represents the polar form of:
x - y = 0.
We will see that the correct option is b, the polar form is given by:
θ = pi*/4
First, polar form is a way to write equations using radius and angle as variables, instead of the known x and y that we usually use.
To change the variables we have the general rule:
R = √(x^2 + y^2)
θ = Atan(y/x)
So here we have:
x - y = 0.
Then we can write this as:
x = y.
Then the angle is given by:
θ = Atan(y/x) = Atan(x/x) = Atan(1) = 45°
Writing this in radians we get:
45° = 45°*(pi/180°) = pi*/4
Then we have:
θ = pi*/4
Then the equation that represents the polar form is:
θ = pi*/4
From this, we can see that the correct option is b.
If you want to learn more, you can read:
https://brainly.com/question/20864390
Three letters are randomly chosen from the word PROBABILITY. What is the probability that one of the letters is P?
Answers
The answer is 1/11
Answer:
If 3 letters are picked from the word 'PROBABILITY', the chances of it being P is 33.33%.
Hope this helps and if you could mark me as brainliest. Thanks!
It’s me again help thank you
Answers
Answer:
34.12-9.8=24.32
Step-by-step explanation:
A shop sells orange juice in the following ways:
500 ml bottle for £1.15
1.5 l carton for £2.70 each or 2 cartons for £5
3.5 l carton for £5.75
What's the cheapest way of buying exactly 9 litres with no extra?
Find the amount of each type of bottle or carton you need and the total cost of buying 9 litres.
Answers
Answer:
The cheapest way to purchase 9 liters of orange juice would be to buy 3 promotions of 2 1.5 liter bottles of drink at £ 5 each promotion, totaling £ 15.
Step-by-step explanation:
To obtain the cheapest way to buy 9 liters of orange juice, the cost per liter of each type of container must be determined:
500 ml bottle = £1.15 (£2.30 per liter)
1.5 l carton = £2.70 (£1.80 per liter)
2 cartons of 1.5 l = £5 (£1.66 per liter)
3.5 l carton = £5.75 (£1.64 per liter)
Thus, there is in principle a staggered way to buy the drink: 2 cartons of 3.5 liters, plus 1 carton of 1.5 liters, plus 1 bottle of 500 ml, which would add up to a total cost of £15.35 (5.75 x 2 + 2.70 + 1.15) .
Now, you could also take advantage of the promotion of 2 cartons of 1.5 l at £5, with which buying 3 of these promotions would acquire the 9 liters of drink (1.5 x 2 x 3) at £15 (3 x 5).
Thus, the cheapest way to purchase 9 liters of orange juice would be to buy 3 promotions of 2 1.5 liter bottles of drink at £ 5 each promotion, totaling £ 15.