Answer:
A
Step-by-step explanation:
Given the 2 equations
2x + y = 13 → (1)
x - y = - 4 → (2)
Add the 2 equations term by term to eliminate the y- term, that is
3x = 9 ( divide both sides by 3 )
x = 3
Substitute x = 3 into either of the 2 equations and solve for y
Substituting into (1)
2(3) + y = 13
6 + y = 13 ( subtract 6 from both sides )
y = 7
solution is (3, 7 ) → A
Answer:
Step-by-step explanation:
2x+y=13
x - y =-4 lets add both equations
3x=13-4
x=9/3 , x=3
3-y=-4, y=7
choice A
In order to solve the following system of equations by subtraction, which of the following could you do before subtracting the equations so that one variable will be eliminated when you subtract them?
4x-2y=7
3x-3y=15
A. Multiply the top equation by-3 and the bottom equation by 2
B. Multiply the top equation by 1/3
C. Multiply the top equation by 15 and the bottom equation by 7
D. Multiply the top equation by 3 and the bottom equation by 4.
9514 1404 393
Answer:
D. Multiply the top equation by 3 and the bottom equation by 4.
Step-by-step explanation:
If you're using subtraction, you want the coefficients of one of the variables to be the same in both equations. If the variable you choose is x, then you need to multiply the top equation by the coefficient of x in the bottom equation (3), and the bottom equation by the coefficient of x in the to equation (4). Doing this will make both x-coefficients equal to 3×4 = 12. In short, ...
Multiply the top equation by 3 and the bottom equation by 4.
inverse of f(x) =e^2x- 4
Answer:
f−1(x)=ln(x+4)/ 2
Step-by-step explanation:
Which is a counterexample of the following conjecture: "If two angles are supplementary, they have the same measure?"
A:30 degrees and 60 degrees
B:50 degrees and 130 degrees
C:90 degrees and 90 degrees
D:45 degrees and 45 degrees
Answer:i dont know but i think its D.
Step-by-step explanation:
Pls mark meh Brainlessed
My friend justen here hes tacken and hes cracked at fornight my guy AHHHH A BREAD DOG
what is the domain of this table
Answer:
the answer is b
Write an equation of the line in slope-intercept form
(-1,0) (-5,0)
Answer:
if there are no typos, line is y=0
Step-by-step explanation:
slope intercept form is y=mx+b
m= slope
b= y intercept
slope is found by y2-y1 / m2-m1
so using the points (-1, 0) and (-5, 0)
(0-0) / (-5 - -1)
= 0/ -4
= 0
m=0
y=0x+b
plug in a point to find b
0=0*-1 +b
b=0
The line is just y=0
please give thanks by clicking the heart button :)
A student starts a new semester with $30 in their lunch
account.Each lunch at school costs $1.75.What is the relationship between the number of school
lunches purchased, n, and the dollar amount in the account, A?
Answer:
28.25
Step-by-step explanation:
Can someone just solve the problem please? it has to be an inequality in the equation
Answer:
(A) Let a represent the number of hours Cassie needs to work
(B) The inequality is 10 × a + 30 ≥ 140
(C) a ≥ 11
(D) Cassie needs to work babysitting for her neighbor for at least 11 hours to be able to buy the graphing calculator
Step-by-step explanation:
The least amount Cassie needs for the graphing calculator = $140
The amount Cassey currently have saved = $30
The amount her neighbor offers for her to babysit = $10 per hour
(A) The definition of the variable is given as a = The number of hours Cassie needs to work
(B) The inequality that defines the situation is 10 × a + 30 ≥ 140
(C) Solving the inequality gives;
10 × a + 30 ≥ 140
10 × a ≥ 140 - 30
∴10 × a ≥ 110
a ≥ 110/10
∴ a ≥ 11
Which gives;
The number of hours Cassie needs to work = a ≥ 11 hours
(D) The solution means that Cassie needs to babysit for her neighbor for at least 11 hours to be able to buy the graphing calculator.
It cost Kaylee $7.26 to send 66 text messages. How much does each text cost to send?
Answer:
0.11
Step-by-step explanation:
7.26 / 66 = 0.11
hope this helps <3
Diego is waiting in line and is the 23rd customer. He thinks that he should get farther back in line in order to get a prize. Is he right? If so, how far back should he go to get at least one prize? Explain your reasoning.
Answer:
Yes he is right. He has to move one step behind to get an award.
Step-by-step explanation:
Here is the full question:
Lin’s uncle is opening a bakery. On the bakery’s grand opening day, he plans to give away prizes to the first 50 customers that enter the shop. Every fifth customer will get a free bagel. Every ninth customer will get a free blueberry muffin. Every 12th customer will get a free slice of carrot cake.
To answer the above question, we already know that Diego is standing in the 23rd position and it is said that every 12th customer will get a free slice of carrot cake. Therefore, those on position 12, 24, 36, 48, . . . will get this award. Simply put, those in positions that are multiples of 12.
Since Diego is thinking of moving farther backwards to get an award, then he is right. Also, he has to move just one step behind to be in a multiple of 12, that is move from 23 to 24, to get an award.
A major technology startup company is growing incredibly fast. The company
started with just 4 employees, but is tripling its amount of staff every year. How
many people will be working for the company in 8 years?
Answer:8748
Step-by-step explanation:
Tripled per year = x3
1st year 4
2nd year 4 x 3 = 12
3rd 12 x 3 = 36
4th 36 x 3 =108
5th 108 x 3 = 324
6th 324 x 3 = 972
7th 972 x 3 = 2916
8th 2916 x 3 = 8748
m – 9 + m + 3 what is the awnser
Answer:
2m - 6
Step-by-step explanation:
Combine the two m's in the equation to get 2m in which each m is 1. Combine -9 and 3 together to get -6 since you are adding 3 to -9. You should get 2m-6 as your final answer.
Need help on this please and thank you
Step-by-step explanation:
a. 4/7t =56
4t= 392
t=98
b. 4=1/2 b -12
4+12=1/2 b
16=1/2 b
so, b =32
Helppp ...............
Answer:
i think its B
Step-by-step explanation:
im not sure but im pretty sure if its wrong im sorry but im pretty sure its correct
I’m confused on how to answer this question
Answer:
i can do A for u
Step-by-step explanation:
the seed is one variable and the place where it was planted is another
Order from greatest to least. Question 1 options: 3/4 -27/32 −0.851⎯⎯⎯⎯⎯⎯ - 0 . 851 ¯ 0.875 0.053571428⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯ 0 . 05 3571428 ¯ 0.2⎯⎯ 0 . 2 ¯ -11/28
Step-by-step explanation:
question 1.
[tex]\frac{3}{4}\\-0.851\\-\frac{27}{32}[/tex]
question 2
[tex]0.053571428\\\- 0.875\\\\- 0 . 851[/tex]
question 3
[tex]0.05 3571428\\\\-11/28\\\\-0 . 2[/tex]
Hey guys help me with this question plzzzzzz
Answer:
625 cm³ and 64000 cm³
Step-by-step explanation:
Given
x = [tex]\sqrt[3]{V}[/tex] ( cube both sides )
x³ = V
(a)
x = 25 cm , then
V = 25³ = 625 cm³
(b)
x = 40 cm , then
V = 40³ = 64 000 cm³
notmxffin can u answer this please?
Answer:
1 - 3
2 - 1
3 - 4
4 - 3
Step-by-step explanation:
the equation of the line a is given as y = -3/4 x -2. Suppose the line a is parallel to line b and lime t is perpendicular to line a. Point (0, 5) lines on both line b and line t.
Answer: The equation for line b is [tex]y = -\frac{3}{4}x + 5[/tex]
The equation for line t is [tex]y= \frac{4}{3} x+5[/tex]
The attachment shows the original line in green, the parallel line b in red, and the perpendicular line t in blue.
Step-by-step explanation: Use slope intercept form, y = mx + b
The given coordinate, (0,5) is on the y-axis, so 5 will be the y-intercept of the equation. Keep the slope of the original equation and substitute the new value for "b"
To write the equation for line t
Both lines share the y-intercept, (0,5) so the "b" term will be the same. The slope of a perpendicular line is the reciprocal of the original slope with the opposite sign.
So invert 3/4 to become 4/3 and change the negative sign to positive.
The resulting equation is y = 4x/3 + 5
Write the equation of the line that connects the set of data points!helppp
Given:
The set of data points on the graph.
To find:
The equation of line that connects the set of data points.
Solution:
From the given graph it is clear that the data points are (20,40), (35,50), (50,60), (65,70).
If a line passes through two points [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex], then the equation of line is
[tex]y-y_1=\dfrac{y_2-y_1}{x_2-x_1}(x-x_1)[/tex]
Let as consider the line passes through (20,40) and (50,60), then the equation of line is
[tex]y-40=\dfrac{60-40}{50-20}(x-20)[/tex]
[tex]y-40=\dfrac{20}{30}(x-20)[/tex]
[tex]y-40=\dfrac{2}{3}(x-20)[/tex]
Multiply both sides by 3.
[tex]3(y-40)=2(x-20)[/tex]
[tex]3y-120=2x-40[/tex]
Isolate variable terms.
[tex]-2x+3y=120-40[/tex]
[tex]-2x+3y=80[/tex]
Therefore, the standard form of the required line is [tex]-2x+3y=80[/tex].
You found a great deal on CDs for gifts! You were
able to buy 12 CDs for $15! What was the cost per
CD?
Answer:
80 cents per cd
Step-by-step explanation:
when finding that answer you divide 12/15 which equals .8
i need the (rate of change____, so the rock is falling___meters per sec) (the initial value,the initial hight)
NEED ANSWER ASAP!! PLEASE AND THANK U SM
Answer:
- 6 m/s
Step-by-step explanation:
The rate of change is a measure of the slope and can be calculated using the slope formula
m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
with (x₁, y₁ ) = (2, 78) and (x₂, y₂ ) = (10, 30) ← 2 points on the line
m = [tex]\frac{30-78}{10-2}[/tex] = [tex]\frac{-48}{8}[/tex] = - 6
Rate of change is - 6 m/s
Nicole rented a scooter while she was on vacation. She paid an initial rental fee of $50 plus a daily fee of $ 25 each day. The total cost was for the rental was $300. How many days did Nicole rent the scooter
Answer: Nicole rented the scooter for 10 days.
Step-by-step explanation:
50 + 25 = 75 (Day 1)
75 + 25 = 100 (Day 2)
100 + 25 = 125 (Day 3)
125 + 25 = 150 (Day 4)
150 + 25 = 175 (Day 5)
175 + 25 = 200 (Day 6)
200 + 25 = 225 (Day 7)
225 + 25 = 250 (Day 8)
250 + 25 = 275 (Day 9)
275 + 25 = 300 (Day 10)
Use synthetic division to evaluate f (x)= x^3+ 6x^2-2x - 12 when x = 3
The function value of given function at x = 3 is 63.
Synthetic division :The given function is,
[tex]f(x)=x^{3} +6x^{2} -2x-12[/tex]
We have to calculate function value when [tex]x=3[/tex].
[tex]f(3)=3^{3} +6*3^{2}-2(3)-12\\ \\f(3)=27+54-6-12\\\\f(3)=81-18\\\\f(3)=63[/tex]
Thus, the function value of given function at x = 3 is 63.
Learn more about the function value here:
https://brainly.com/question/875118
Subtract the expressions: (5z + 4) - 5(-3z -6)
Hey there!
“(5z – 4) – 5(–3z – 6)”
DISTRIBUTE the RIGHT side of your equation
5z – 4 –5(–3z) + (–5)(–6)
–5(–3) = 15z
(–5)(–6) = 30
NEW EQUATION: 5z – 4 + 15z + 30
COMBINE your LIKE TERMS
(5z + 15z) + (4 + 30)
5z + 15z = 20z
4 + 30 = 34
ANSWER: 20z + 34 ☑️
Good luck on your assignment and enjoy your day!
~LoveYourselfFirst:)
Answer:
20z + 34
Step-by-step explanation:
Find the area of a square with radius of 10
12)
What is two rays sharing a common endpoint?
A)
angle
B)
circle
C)triangle
D)
line segment
Answer:
An angle is formed when two rays share a common endpoint.
Step-by-step explanation:
When two rays share a common endpoint they form A) an angle and the common endpoint is called the vertex.
What are the types of lines?A line has three subsets one is the line itself which can extend in both directions, the Second one is a ray which has one initial point and can extend only in another direction and lastly a line segment which has two endpoints.
We know that a ray has one initial point and it can extend indefinitely in another direction denoted by an arrow.
We also know that an angle is formed when two lines have one common point called the vertex. The measure of an angle is described by the amount of rotational distance it covered from the initial ray and the other ray.
learn more about angles here :
https://brainly.com/question/2882938
#SPJ1
Hiii I neeeeedddddd helpppppppppppppp
Answer: 9.4
a² + b² = c²
5² + 8² = c²
25+64=c²
89 = c²
√89 = √c²
9.4 = c
Step-by-step explanation:
Answer: 9.4
a² + b² = c²
5² + 8² = c²
25+64=c²
89 = c²
√89 = √c²
9.4 = c
this was a crossword puzzle given to me but i dont know how to solve crossword puzzles... help
Answer:
Across Down
1. y = 30 1. y = 35
2. x = 25 3. x = 4
5. y =9 4. x = 10
6. x = 12 7. x = 24
8. x = 11 9. x = 140
10. x = 25 11. x = 17
12. y = 8 13. x = 28
Step-by-step explanation:
You solve for the given variable then fill the box with the answer (assuming only numbers, each number gets a box. You don't put any numbers on the red boxes, only white)
Solve the equation and explain each step using apropriate Properties
-4(3x+6)+6=-30
Answer:
The answer is x=1
Step-by-step explanation:
-4(3x+6)+6=-30
-12x-24+6=-30
-12x-18=-30
-12x-18+18=-30+18
-12x=-12
-12x/-12=-12/-12
x=1
PLZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZ HELP
Emilia needs at least $240 to buy new headphones. She has already saved $30. She earns $14 per car that she washes.
What is the least number of cars she can wash to buy the headphones?
a. 14x+30 ≥ 240
B. 14x+30 ≤ 240
C.30x+14 ≥ 240
D. 30x+14 ≤ 240
Explain your reasoning and solve equation:
Answer:
A is the correct equation to use when solving this problem
The least number of cars she can wash is 15
Step-by-step explanation:
If "'x" is the number of cars Emilia washes, then we would need to multiply that by the amount of money she gets from each car which means that "14x" needs to be in the equation somewhere. From this, we can already rule out C and D because those don't have "14x".
Also, since it says that Emilia needs at least $240, that would mean that she needs $240 or higher. Since the sign in equation A shows that, we know that it is equation A.
Since Emilia needs $240 or higher, the least number of cars she could wash would need to give her enough money to get to $240 when added to the $30 Emilia already has. We can multiply 14 by 15 to give us 210 which when added to the $30 she already has, will give us $240 which is the minimum amount of money she needs to buy new headphones.
(I'm sorry this is so confusing. I'm not good with words but I hope this helped)
