Answers
2: c
Step-by-step explanation:
3: a
by Supplementing each answer Into the equation
Step-by-step explanation:
what don't you understand about this ? did you never solve 2 equations with 2 variables ?
it is really easy. there are 2 main approaches :
1. substitution. you use one of the two equations to express one variable by an expression purely in the other variable. then you use that in the other equation (resulting in one equation with one variable) and solve it. with that result you go back to the other equation and calculate the other variable.
2. equation arithmetic. when the terms of at least one of the variables are similar in both equations, you can multiply (if needed) one or both equations (left and right side !) by a fitting number and then add it subtract one equation from the other, so that you are left with one equation in one variable, which you solve. with that result you go back to any of the original equations and calculate the other variable.
there would be a third option for questions like this :
3. trial and error. simply put the point coordinates as x and y into both equations, and see for what point(s) both remain true.
but in order to show you the methodical approaches, we will use substitution for question 2 and equation arithmetic for question 3.
2)
2x + y = 5
-x + 2y = 5
I use the first equation to transform. and I get
y = 5 - 2x
with that I go into the second equation :
-x + 2(5 - 2x) = 5
-x + 10 - 4x = 5
-5x = -5
x = 1
and with that I get
y = 5 - 2×1 = 5 - 2 = 3
so, C (1, 3) is the right answer.
3)
2x + y = 7
-x + y = 1
let's subtract the second equation from the first :
2x + y = 7
- -x + y = 1
------------------
3x + 0 = 6
3x = 6
x = 2
with that I go into one of the original equations :
-2 + y = 1
y = 3
so, A (2, 3) is the right answer.
Related Questions
Population Growth Using 20th-century U.S. census data,
the population of Ohio can be modeled by
12.79
P(1) =
1 + 2.402,-0.0309
where P is the population in millions and r is the number of
years since April 1, 1900. Based on this model, when was the
population of Ohio 10 million?
Answers
The population of Ohio will be 10 million in the year 1970
The population growth of Ohio is represented by the function:
[tex]P(t)=\frac{12.79}{1+2.402e^{-}0.0309t}[/tex]
P is the population in millions
t is the number of years since 1900
To find the year that the population of Ohio will be 10 million, substitute P = 10 into the function P(t) and solve for t
[tex]10=\frac{12.79}{1+2.402e^{-}0.0309t}\\\\10(1+2.402e^{-}0.0309t)=12.79\\\\1+2.402e^{-}0.0309t=\frac{12.79}{10} \\\\1+2.402e^{-}0.0309t=1.279\\\\2.402e^{-}0.0309t=1.279-1\\\\2.402e^{-}0.0309t = 0.279\\\\e^{-}0.0309t =\frac{0.279}{2.402} \\\\e^{-}0.0309t =0.116\\\\-0.0309t=ln0.116\\\\-0.0309t=-2.154\\\\t=\frac{-2.154}{-0.0309} \\\\t=69.7[/tex]
t = 70 years (to the nearest whole number)
70 years after 1900 will be 1970
Therefore, the population of Ohio will be 10 million in the year 1970
Learn more here: https://brainly.com/question/25504185
1. £1000 is invested for 2 years at 5% per annum with compound interest. Work out the total amount in the account after 2 years.
Answers
Answer:
A = £1102.50
Step-by-step explanation:
Use the compound amount formula:
A = P(1 + r)^t, where P is the principal, r is the interest rate as a decimal fraction, and t is the number of years.
Here A = £1000·(1 + 0.05)^2, which evaluates to A = £1102.50
F) A wall in a house is currently 12 feet long and a contractor wants to add 108 inches to the wall. How long will the
extended wall be in yards?
(A) 5yards
(B) 7yards
(C) 8yards
(D) 10yards
(E) 17yards
Answers
-4x + 60 < 72 or 14x + < -31
Answers
x=31/14
Step-by-step explanation:
I did the second one btw
A diameter of a circle measures 58cm. What is the length of its radius
Answers
Answer:
29cm
Step-by-step explanation:
a radius is half of a diameter so half of 58cm is 29cm.
i hope this helps have a good day
. Suha has a full 600 ml bottle of wallpaper remover. She is going to mix some of the wallpaper remover with water. Here is the information on the label of the bottle. Wallpaper remover 600 ml 1 Mix of the wallpaper remover 4 with 4500 ml of water Suha is going to use 750 ml of water. How many millilitres of wallpaper remover should Suha use? You must show your working.
Answers
Answer:
25ml of wallpaper remover
Step-by-step explanation:
(y = amount of wallpaper remover)
4500×4 = 18000
18000:600
750 : y
18000y = 600×750
18000y = 450000
y = 450000÷18000
y = 25
a canine's body temperature is considered to be normal if it is 101 degrees Fahrenheit with an absolute deviation of 1.5 degrees Fahrenheit.
A. write an absolute value inequality that represents the normal temperature range. B.solve the inequality. what is the normal temperature range?
Answers
Answer:
Please I don't understand the question or maybe I'm too young for the question I'm so sorry
I need help on 26 please and thank you
Answers
Answer:
your answer is 1.65 or E :)
What did she do wrong? What can she do to prevent this?
Answers
Answer:
y = 8x + 14 (8x is WRONG)
This is how it is supposed to be
y - 2 = 6x + 12
y = 6x + 14
She must combine like terms, not unlike terms
Which figure in the drawing best represents a dilation of figure A with a scale factor of 1.5?
A.r
b.q
c.s
d.t
Answers
If Ram had 5 apples in house , now calculate the number of apple's in his neighbours house .
Answers
Answer:
Ram's neighbors probably had more apples than Ram.
Hence, number of apples in the neighbor's house is equal to [tex] \geqslant 5[/tex].
Step-by-step explanation:
Hello bro ufff.... Finally found u xD-,-
Help please I really don’t understand SOS Due today
Answers
Answer:
Step-by-step explanation:
28 > 6x - 2
28 + 2 > 6x - 2 + 2
30 > 6x
5 > x or x < 5
The perimeter of a rectangle is 40 cm. The length is 14 cm.
Let x = width of the rectangle.
Ravi says he can find the width using the equation 2(x + 14) = 40.
Fran says she can find the width using the equation 2x + 28 = 40.
Answer the questions to solve the equations and to compare the steps and solutions.
1. Which of these is the most helpful first step for solving Ravi's equation, 2(x + 14) = 40?
Circle the best answer.
Add 14 to both sides
Subtract 14 from both sides
Divide both sides by 2
Multiply both sides by 2
2. What would your next step be?
Write your answer in the space below.
3. Solve Ravi's equation, 2(x + 14) = 40, to find the width of the rectangle. Show your work.
Write your answer in the space below.2(x +14) = 40 (use the distributive property)
2x + 28 = 40 (solve exactly like you did for Fran)
2x = 12
x = 6
4. Which of these is the most helpful first step for solving Fran's equation, 2x + 28 = 40?
Circle the best answer.
Multiply both sides by 2
Subtract 28 from both sides
Divide both sides by 2
Add 28 to both sides
5. What would your next step be?
Write your answer in the space below.
6. Solve Fran's equation, 2x + 28 = 40, to find the width of the rectangle. Show your work.
Write your answer in the space below.
7. The two equations have different solution steps. Do they have the same solution? Use the distributive property to show why this answer makes sense.
Write your answer in the space below
Answers
Answer:
Below.
Step-by-step explanation:
1. Divide both sides by 2.
2. After dividing both sides by we would have:
x + 14 = 20
The next step would be
Subtract 14 from both sides.
3. 2(x + 14) = 40
x + 14 = 20
x = 20 - 14
x = 6.
2x + 28 = 40
2x = 40 - 28
2x = 12
x = 6.
4. Algebra If in one year a city
recorded a total of 97 rainy days,
how many of the days did it NOT
rain? Write and solve an equation.
Answers
Answer:
268.25
Step-by-step explanation:
by using the fact that one year is 365.25 days, we can subtract our 365.25 by our 97 to get 268.25, written in the equation of 365.25-97=268.25
*edit, messed up how long a year was, corrected my issue, answer & equation.
Answer:
Step-by-step explanation:
How many did not rain is 268 because if you take away 97 from 365 ofcourse it will be 268 you’re welcome
On a coordinate plane,△FGH is formed with the vertices at point F(0,−2), point G(1,0) , and point H(2,−3) . Which expression can be used to determine the perimeter, in units, of△FGH ?
A
(0−1)2+(−2−0)2−−−−−−−−−−−−−−−−√+(1−2)2+(0−(−3))2−−−−−−−−−−−−−−−−−−√+(2−0)2+(−3−(−2))2−−−−−−−−−−−−−−−−−−−√
B
(0−(−2))2+(1−0)2−−−−−−−−−−−−−−−−−−√+(1−0)2+(2−(−3))2−−−−−−−−−−−−−−−−−−√+(2−(−3))2+(0−(−2))2−−−−−−−−−−−−−−−−−−−−−√
C
(0+1)2−(−2+0)2−−−−−−−−−−−−−−−−√−(1+2)2−(0+(−3))2−−−−−−−−−−−−−−−−−−√−(2+0)2−(−3+(−2))2−−−−−−−−−−−−−−−−−−−√
D
(0+(−2))2−(1+0)2−−−−−−−−−−−−−−−−−−√+(1+0)2−(2+(−3))2−−−−−−−−−−−−−−−−−−√+(2+(−3))2−(0+(−2))2−−−−−−−−−−−−−−−−−−−−−√
Answers
Answer:
the answer i think is B
Step-by-step explanation:
Answer: B
Step-by-step explanation:
Solve and graph each of the following. Show your work to receive full credit.5x – 6 – 8x ≤ 9
Answers
Answer: x> or equal to -5
Step-by-step explanation:
5x – 6 – 8x ≤ 9
Combine the lioe numbers
-3x-6≤ 9
+6 to both sides
-3x≤ 15
Divide by a -3 to both sides
X>or equal to -5
Hope that helps
Answer Asap!
<3 <3 <3
Thx
Answers
Answer:
the answer is 15/17
because cosine=b/h=UV/UW=15/17
If it takes 7 people 8 days to dig a ditch, how many people would it take to dig the ditch in 1/2 day
Answers
Answer:
112
Step-by-step explanation:
8 days when fitted into a half (1/2) gives you 16
7 times 16 gives the answer of 112 (people needed)
Answer:
112 people to do it in 1/2 of a day
Step-by-step explanation:
7 · 8 = 56
56 ÷ ½ = 112 people to dig a ditch in 1/2 of a day
The lenght of a rectangle exceeds it width by 2cm. If area of the rectangle is 80 cm The lenght of the rectangle is ?
Answers
Answer:
[tex]x4 - (9x5)[/tex]
yan npo wag puro brainly
Answer:
The answer is l =40cm
Find the unit rate.
12 laps in 30minutes
Answers
Answer:
0.4/1
Step-by-step explanation:
We want a unit rate where
1 is in the denominator,
so we divide top and bottom by 30
why (0.0) (3.4) (6.8) (6,12) not a function
Answers
Answer:
Step-by-step explanation:
Look at the first elements of the four points: {0, 3, 6, 6}. The element 6 appears twice and is associated with two different second elements: {8, 12}. That tells us immediately that this is not a function.
theres the picture i dont know how to write it out.
Answers
Answer:
x > -2
Step-by-step explanation:
As the circle in the number line is not filled, it will not include -2 and as the number line starts from -2 and goes right it will be x > -2.
Hope this helps!!
6) Convert 2pie/3 to degrees
A) 30°
B) 60°
120°
D) 240°
Answers
Graph a right triangle with the two points forming the hypothenuse, Using the sides, find the distance between the two points, to the nearest tenth if necessary (3. -7) and 8. -3)
Answers
Answer:
That distance is 6.4
Step-by-step explanation:
The legs of the triangle form a right angle. The bottom leg has length 8 - 3, or 5, and the vertical leg -3 - (-7), or 4. Applying the Pythagorean Theorem:
(vertical leg)^2 + (horizontal leg)^2 = (hypotenuse)^2, which here is
4^2 + 5^2 = (hypotenuse)^2
This works out to 16 + 25, or 41.
The distance between these two points is d = √41, or d = 6.4
Solve the simultaneous equation
3x-4y=11
9x+2y=5
Answers
Answer:
I assume you are looking for the x and y values of the two equations? if not message me!
y=–2
x=1
Step-by-step explanation:
Multiply the first/top tearm by –3 so we can "get rid of" the X's with the addition of both equations. we are then left with: 14y=-28
We can now divide both sides by 14 to get y by itself so we are left with: y=–2
plugging our y value back into the first equation we get: 3x+8=11. we subtract 8 from both side and are left with: 3x=3. dividing both side by 3 we can get x by itself and are left with: x=1
To check, we plug x and y both into the first equation we get: 3+8=11 (which it does). Or we can plug both of them into the second equation and we get:9-4=5 (which it does)
Answer:
Below in bold.
Step-by-step explanation:
3x-4y=11
9x+2y=5
Multiply the first equation by 3:
9x - 12y = 33
Subtract the above from the second equation:
2y - (-12y) = 5 - 33
14y = -28
y = -2.
Now plug y = -2into the first equation:
3x - 4(-2) = 11
3x = 11 - 8 = 3
x= 1.
Can someone help me. All i need o know is what is the value after 10 years i done the equation part by myself
NO BOTS OR ILL REPORT YOU!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!1
ILL GIVE BRAINLY TO CORRECT ANSWER
100 points
Answers
Answer:
$4811
Step-by-step explanation:
Initial price = 35,000
18% decrease anually = 18/100 = -0.18
after 10 years
substitute these values in the formula shown in below figure
A = 35000 * ( 1 + -0.18/1 ) ^10
= 35000 * 0.82^10
= 4,810.681
= $4811
4. What are the zeroes
of y = x^2 + 2x – 8? (1 point)
-4, 2
4, 2
-4,2
4, 2
Answers
Answer:
-4,2
Step-by-step explanation:
(x-2) (x+4)=0
x-2=0
x=2
x+4=0
x= -4
Answer:
x=-4, x=2
Step-by-step explanation:
Whenever a question asks you to find the zeros of a quadratic equation, they are essentially asking you to find the x-intercepts. To find the x-intercepts, you simply need to equate y to zero and solve for x.
There are two main ways to find the intercepts - by the quadratic formula and factoring. I will demonstrate both below.
When factoring, a popular method is the diamond box method. First, make an x on your paper. In the top nook of the x, write the product of a and c in y=ax^2 +bx +c. Here, it is -8*1=-8. In the bottom nook, write the b value. Here it is 2. Find two numbers that multiply to ac or -8 and add up to b or 2 and write them in the side nooks. In this problem, they are 4 and -2 (4*-2=-8 and 4+(-2)=2). Then, make a box. On the top left corner, write the first term (here it is x^2) and on the bottom right corner write the constant term (here it is -8) and write the two values you found earlier in the remaining boxes. Now, find values that multiply to each of the respective terms. Sorry, this sounds super confusing, I have included a picture below of what the result should look like. Once you have it factored, make y equal to zero and solve for both x's. You should get x=2 and x=-4. Keep in mind, sometimes, a problem might not be factorable. If it isn't, you have to use the method below.
Another popular way to find the roots is the quadratic formula. I have included a picture of it below. All you have to do is substitute the coefficients in and solve for x. You should get two solutions in this scenario.
What is the slope of the line ( part 2 )
Answers
Answer:
[tex]m=-\frac{1}{2}[/tex]
Step-by-step explanation:
Same as last time, take any 2 points you want:
(0, 3) and (4, 1)
Use the slope formula to calculate the slope:
[tex]m=\frac{1-3}{4-0}\\m=\frac{-2}{4}\\m=-\frac{1}{2}[/tex]
On small problems like these, you don't really even need to calculate it like that. You can just look at the graph, see that it goes down 1 and over 2 from one point to the next, and have your slope that way. Again, rise over run. It "rises" by -1, and runs by 2. -1 over 2, there's your slope.
does anyone know what the answers are to this question? thank you sm if you help!! :)
Answers
v’ should be equal to 4
I’m not exactly sure but please do feel free to correct any mistakes I made.
plssss help picture down below
Answers
Answer:
it is (-4,1)
Step-by-step explanation:
Hope this helps:)