Answer fast? What?
x + 2y = 17...Equation A
8x + 3y = 45...Equation B
Solve A for x.
x = 17 - 2y
Plug this into B to solve for y.
8(17 - 2y) + 3y = 45
136 - 16y + 3y = 45
136 - 13y = 45
-13y = 45 - 136
-13y = -91
y = -91/-13
y = 91/13
y = 7
To find y, plug x = 7 into either equation to find x.
I will use Equation A.
x + 2y = 17
x + 2(7) = 17
x + 14 = 17
x = 17 - 14
x = 3
Answer: x = 3, y = 7
The solution to the system of equations is (x = 3) and (y = 7).
To find the values of x and y that satisfy the given system of equations:
1. (x + 2y = 17)
2. (8x + 3y = 45)
We can use either the substitution method or the elimination method. Let's use the elimination method to solve this system
Step 1: Multiply both sides of the first equation by 3 to make the coefficients of y in both equations the same:
(3x + 6y = 51)
Step 2: Now, subtract the modified first equation (3x + 6y = 51) from the second equation (8x + 3y = 45):
(8x + 3y) - (3x + 6y) = 45 - 51)
Simplify:
(8x + 3y - 3x - 6y = -6)
Step 3: Combine like terms:
(5x - 3y = -6)
Step 4: Now, we have two equations:
1. (x + 2y = 17)
2. (5x - 3y = -6)
Step 5: Now, you can either use the substitution method or the elimination method again to find the values of x and y. Let's use the elimination method again to eliminate y: Multiply the first equation by 3 and the second equation by 2 to make the coefficients of y the same:
1. (3(x + 2y) = 3 times 17) => (3x + 6y = 51)
2. (2(5x - 3y) = 2 times -6) => (10x - 6y = -12)
Step 6: Now, add the modified first equation (3x + 6y = 51) to the modified second equation (10x - 6y = -12): (3x + 6y + 10x - 6y = 51 - 12)
Simplify: (13x = 39)
Step 7: Divide both sides by 13 to solve for x:
(x = frac{39}{13})
(x = 3)
Step 8: Now that we have the value of x, we can find the value of y by substituting it back into either of the original equations. Let's use the first equation:
(x + 2y = 17)
(3 + 2y = 17)
Step 9: Solve for y:
(2y = 17 - 3)
(2y = 14)
(y = frac {14}{2})
(y = 7)
To know more about equations:
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I have very little points left and yes i know sad right but im BEGGING for somebody to please help me. the questions are With the points A(-4, -2) B(1, -3) C(2, -6) D(-1, 7). What are the coordinated of A' if the scale factor of dilation is 3? **Express your answer as (#,#) with no spaces.** *
PLEASE HELP ME PLEASE PLEASE PLEASE!!
Answer:
so to scale (or dilate) it by three you would multiply each of the numbers in your point by three. In this case that means A' would be (-12,-6)
Step-by-step explanation:
hope this helps :)))
FIND THE QUADRATIC FUNCTION DETERMINED BY EACH TABLE
X -2 -1 0 1 2 3
Y 4 0 -2 -2 0 4
Answer:
x² - x - 2 = 0
Step-by-step explanation:
plotting the graph of x and y,we have that the root of the equation is -1 or 2
x = -1 or 2
the eqn therefore is;
x² - (sum of the root)x + (product of the root) =. 0
x² - (-1+2)x + (-1*2) = 0
x² - x - 2 = 0
Applying the Factor Theorem, it is found that the quadratic function is:
[tex]p(x) = x^2 - x - 2[/tex]
------------------------
The Factor Theorem states that if a polynomial [tex]p(x)[/tex] has roots [tex]x_1, x_2, ..., x_n[/tex], it is described by the following equation:
[tex]p(x) = a(x - x_1)(x - x_2)...(x - x_n)[/tex]
In which a is the leading coefficient.
For this quadratic function, the roots are [tex]x_1 = -1, x_2 = 2[/tex], as [tex]y(-1) = y(2) = 0[/tex], thus:[tex]p(x) = a(x - (-1))(x - 2)[/tex]
[tex]p(x) = a(x + 1)(x - 2)[/tex]
[tex]p(x) = a(x^2 - x - 2)[/tex]
When x = 0, p(x) = -2, and we use this to find a.
[tex]p(x) = a(x^2 - x - 2)[/tex]
[tex]-2 = a(0^2 - 0 - 2)[/tex]
[tex]2a = 2[/tex]
[tex]a = \frac{2}{2}[/tex]
[tex]a = 1[/tex]
Thus, the quadratic function is:
[tex]p(x) = x^2 - x - 2[/tex]
A similar problem is given at https://brainly.com/question/24380382
x-intercept=4 y-intercept= -2 what is the slope of this line?
Answer:
gradient = change in y/change in x
--> -2/4 = -1/2
Therefore slope = -1/2
Step-by-step explanation:
Please give BRAINLIEST, it is appreciated, hope this helps!
in the scatterplot there is a
Answer:
i dont see anything
Step-by-step explanation:
Answer:
you didnt add a pic
Step-by-step explanation:
A scientist discovered a new type of bacteria that will grow at a rate of 3 cells every 2 seconds. If the scientist starts with one bacteria cell in a petri dish, what equation could predict the amount of cells in the dish after x seconds? Please help me
Answer:
1.5 x cells
Step-by-step explanation:
3 cells every 2 second
1.5 cells per second
therefore
after x seconds there ll be 1.5 *x number of cells
=1.5x cells
Question is : Rearrange to make x the subject : 3y-2x=7
Answer:
=1
Step-by-step explanation:
Answer:
Work shown below!
Step-by-step explanation:
3y - 2x = 7
Subtract 3y from both sides;
-2x = -3y + 7
Divide both sides by -2
[tex]x=\frac{3}{2}y-\frac{7}{2}[/tex]
Missy bought her car for $27,000. Alice bought the exact same car for 7% less than Missy. How much less did Alice pay?
А.
$1890
В.
$8100
C
$18,900
D
$25,110
Answer:
A
Step-by-step explanation:
7%=0.07
27,000 MULTIPLIED by 0.07=1890
Alice paid: 25,110
Is 379 in the sequence below?
5,7,9,11,13.......
Can someone help me with systems of equations, (graphically)
Answer:
Step-by-step explanation:
You would use -6 and 7 to start your line. With the equation “y=5/6x+7", you would put a dot on 7. Then you would use the 5/6 to start making your line. With fractions, it's always rise/run. Starting from 7, you go up 5 then over(right) 6 until you run out of room on the graph. Then you do the opposite, down 5 then back(left) 6. Then you should have your first line. Then repeat that for the next equation. Start at -6, go down 4 and back three until you run out of room on the graph, then do the opposite. Go up 4 and over 3.
Let me know if this is confusing!
Which answer choice shows 34.498 rounded to the nearest half?
A. 34
B. 34.5
C. 35
D. 35.5
Answer:
34.5
Step-by-step explanation:
follow me say a thanks mark me branliest
9935÷2.76243 hello
Answer:
9935÷2.76243
3596.47122
round it to any place values your question or anythings asks for
Answer:
3596.4712228
Step-by-step explanation:
Hi, I need help for part c, please!
Answer:
35 mph
Step-by-step explanation:
The answer should be the average speed it takes to drive, so you would find the average of the speed to go to A with the speed to go to B. You already have the two answers for part A and B, so you would add them, then divide them by 2. It would look like this:
[tex]\frac{30+40}{2} =\frac{70}{2} =35[/tex]
So it would be 35 mph
Please help I need your help please please
Answer:
The one in the bottom left
Step-by-step explanation:
symbolize is the use of a symbol to:
A(describe a character)
B(represent an abstract idea)
C(represent a concrete thing)
D(compare two different things)
Answer:
B(represent an abstract idea)
Step-by-step explanation:
A symbol is a stylistic figure whose essence is to use a word or phrase to refer to another, usually abstract term, to which it refers.
What symbolism means in every sphere is precisely the reference by one term to another term that symbolizes.
A symbol consists of a concrete material designation which refers to some abstract concept.
Answer:
b is correct give the person above brainlist :)
Step-by-step explanation:
In a right triangle, measure of one of the acute angles is 10 degrees more than 3 times the measure of the other angle. What are the measures of the three
angles?
Answer:
How do you find the angle of a right triangle with 3 sides?
Step-by-step explanation:
Step 1 The two sides we know are Adjacent (6,750) and Hypotenuse (8,100).
Step 2 SOHCAHTOA tells us we must use Cosine.
Step 3 Calculate Adjacent / Hypotenuse = 6,750/8,100 = 0.8333.
Step 4 Find the angle from your calculator using cos-1 of 0.8333:
What is the missing reason in step 6
Answer:
What is step 6
Step-by-step explanation:
wayne recorded how much his pet snake,slithers, grew over the past few months. this list shows how much slithers grew each month?
Answer:
Where is the list?
Step-by-step explanation:
If a/b= 8 and ac -5 = 11, then bc =?
Answer:
bc = 2
Step-by-step explanation:
From [tex]a/b = 8[/tex]
[tex]a=8b[/tex] (times b on both sides)
We can then substitute [tex]a[/tex] for [tex]8b[/tex]:
[tex]ac-5=11[/tex] (given equation)
[tex]8bc-5=11[/tex]
[tex]8bc=16[/tex]
[tex]bc=2[/tex]
I hope this helps :)
Sam went to the store because she needed 5 1/2 cups of flour for a recipe. She already had 2 1/3 cups at home. How much flour will she Need for the recipe?
Answer:
3 1/6
Step-by-step explanation:
5 1/2 = 5 3/6
-
2 1/3 = 2 2/6
_____
3 1/6
-1/3a - 1/2b - 3/4 + 1/2b - 2/3 + 5/6a
Answer:
look at the pic i sent
Step-by-step explanation:
what is the LCM of 80
so is the question right?
Answer:
Factors of 80 are 1, 2, 4, 5, 8, 10, 16, 20, 40, 80.
Step-by-step explanation:
HELP! BRAINLIEST ANSWER!
Answer:
6. 5x - 2
7. 13in
8. 3a + 20
9. 21 1/2
explanation:
6. add all of the values together
7. plug in 3 into the answer from #6 5(3) - 2 and you will get 13
8. add all values
9. plug in 1/2 into the answer from #8 3(1/2) + 20 and you will get 21 1/2
5 5/12 + 1.75 in fraction form.
Write the fraction in simplest form.
43/6
3 (1 - x)=2 (-4x + 7)
Solve for X.
Answer:
x = 11/5
Step-by-step explanation:
3-3x = -8x +14
5x = 11
x= 11/5
-6=n-4n
tfytfytffuygyguyftuiy
Answer:
2=n
Step-by-step explanation:
-6=n-4n
1. n-4n is -3
2. new equation (-6=-3n)
3. Divide: -6 and -3 =2 to get the n by itself
4. final answer 2=n
multiply the decimals 12.5 multiply 1.4
Answer:
17.5
Step-by-step explanation:
Answer:
17.5
Step-by-step explanation:
Can somebody help me with this? Will mark brainliest!
Answer:
2. A reflection of the y axis followed by a translation.
Step-by-step explanation:
ABC was reflected across the y-axis and then translated down.
Come up with an example for a solid, liquid, and gas describing the particle movement.
Answer:
Ice Cube, Liquid Water, and Steam
Step-by-step explanation:
An example of a solid is a ice cube, the particles are compacted together and there's very little movement.
An example of a liquid is water, the particles are more spread around and the movement is more frequent.
An example of a gas is steam, the particles are anywhere, moving fast and sporadic.
Annabelle is ordering a taxi from an online taxi service. The taxi charges $2 just for the pickup and then an additional $1.50 per mile driven. How much would a taxi ride cost if Annabelle is riding for 6 miles? How much would a taxi ride cost that is mm miles long?
Answer:
$11Step-by-step explanation:
Step one:
given
Taxi charges =$2
Additional charges =$1.50 per mile driven
Step two:
Required
The cost of the ride for a 6miles long drive
let the number of miles be x
and the total charges be y
The cost function is expressed as
[tex]y=1.5x+2[/tex]------------1
hence for x=6
y=1.5(6)+2
y=9+2
y=11
Therefore the cost of a 6miles drive will be $11
why is it not recommended to scuba dive in the morning and fly home the same afternoon ?