Question 1) Use the linear combination method to solve the system of equations. Explain each step of your solution. 2x - 3y = 13, x + 2y = -4. ( I'll post a picture of the question and problem incase there's any confusion). Will Mark Brainliest.
Answers
Answer:
x = 2 and y = -3
Step-by-step explanation:
The given equations are:
2x - 3y = 13 ...(1)
x + 2y = -4 ...(2)
Multiply equation (2) by 2.
2x + 4y = -8 ...(3)
Subtract equation (3) from (1).
2x - 3y-(2x + 4y) = 13-(-8)
2x-3y-2x-4y = 13+8
-7y = 21
y = -3
Put the value of y in equation (2).
x + 2(-3) = -4
x-6=-4
x = 6-4
x = 2
So, the solution of the given equations are x = 2 and y = -3.
Related Questions
please help me if you can
Answers
Answer:
1) 160 2) 218.64
Step-by-step explanation:
v=lwh (length)×(width)×(height)÷3
1. 10× 6× 8= 480÷3
2. 10.6× 9.1× 6.8= 655.928 ÷ 3 =218.6426 (218.64)
this would be a BIG help i am almost done with the semester and i am not good at math really but its my fav teacher so i dont want to have to leave it blank for her In two or more complete sentences write and solve an equation for the situation and explain how you will solve the equation.
After an 8-week exercise program Grace lost 45 pounds. She now weighs 122 pounds. How much did Grace weigh before she started her exercise program?
Answers
Answer:
Grace weighed 167 pounds before she started her exercise program. Step-by-step explanation: Given, Weight lost by Grace = 45 pounds. Weight of Grace after exercise weeks = 122
Step-by-step explanation: sorry if im wrong
If austin is 2/3 mile from home and his scooter use 1/4 of a gallon of fuel how much fuel has he use
Answers
Answer:
11/12
Step-by-step explanation:
ig not sure
A diver jumps from a platform diving board that is 32 feet above water. The height , h of the diver above water , in feet, t seconds after jumping from the platform , can be determined by the equation h=-16t^2+20t+32. Determine the diver's height above water 2 seconds after jumping from the platform.
CAN SOMEONE HELP ME OUT PLEASE!!!!!!!!!!
Answers
Answer:
h=8
Step-by-step explanation:
h = -16t^2 + 20t + 32
h = -16(2)^2 + 20(2) + 32
h = -16(4) + 40 + 32
h = -64 + 72
h = 8
Answer:
2 seconds
Step-by-step explanation:
i got it right, no explanation <3
PLEASE HELP!! Write an equation of g(x) that represents an exponential base “e” parent function with the following transformations:
Reflect over y-axis, shift right 7, vertical stretch by 12
Answers
Answer:
[tex]g(x) = 12 {e}^{ - x - 7} [/tex]
Step-by-step explanation:
The parent function is
[tex]g(x) = e {}^{x} [/tex]
First it is asked to reflect over the y axis so using the rule
[tex]g(x) = g( - x)[/tex]
Our function looks like
[tex]g(x) = e {}^{ - x} [/tex]
Then we are asked to shift the equation to the right 7. When shifting to the right or move the x axis, instead of adding 7 we would want to subtract 7 since the x axis is the independent variable and we must respect the y axis which is the dependent so using the rule
[tex]g(x) = g(x - h)[/tex]
When subtracting a 7 it looks like now
where h is the number we move . Now we are asked to apply a vertical stretch of 12. Since vertical stretch refers to the y axis, we are just going to multiply the function by 12 using the rule
[tex]g(x) = a \times g(x)[/tex]
where a is the vertical stretch. So now it would look like
[tex]g(x) = 12 {e}^{ - x - 7} [/tex]
I begin the billing cycle with a $4,000 balance on my credit card. On the 13th day I pay off
$1,200 of my debt. On the 17th day I charge $1,700. I do not use my card again this billing
cycle. If my APR is 15 percent, how much interest will I owe?
Answers
Jessie has exactly 6 coins in her pocket. They are worth 28 cents in all. Draw
and label a picture to show the coins she has in her pocket.
Answers
Answer:
OOOOOO <---- the coins in her pocket
Step-by-step explanation:
Please show work :) thanks for the help.
Answers
Answer:
-3f
0
f1
Step-by-step explanation:
(x = -3) f x -3 -3f
(x = 0) f x 0 = 0
x = 1) f x 1) f1
Write the inequality for the following: four times a
number increased by 2 is less than -24.
Answers
4 · n + 2 < -24
Hope this helps! Good luck! :)
K/4 < -4
What could k be???
Answers
Answer:
-17
Step-by-step explanation:
-17/4 = -4.25
and 4 is greater than that, so i think
K = -17
Can someone help me pls!!
Answers
Answer:
1/1
Step-by-step explanation:
you go up 1 and over 1
Answer:
Answer vary :
-3
Step-by-step explanation:
honestly in my opinion it that. i got it by looking at the middle of the slope wich hits -3.
John can read 12 1/2 pages in 25 minutes. At this same rate, how long would it take to read 1 page? How many pages could he expect to read in 1 minute
Answers
Answer:
divide 12 and 1/2 by 25 and can I get branliest
Step-by-step explanation:
Answer:
it would take him 2 minutes to read one page
He can read half a page in 1 minute
Step-by-step explanation:
Part 1
ratio time/pages
25/12.5=x/1
cross multiply
12.5x=25
x=2
ratio time/pages
25/12.5= 1/x
cross multiply
25x=12.5
x=0.5
Mike's younger brother likes to ride his bike. If the wheels have a radius of 25 cm, determine how far the wheel travels in 2 revolutions.
Answers
Answer:
Intwo full revolutions,the wheel will travel 314 cm
Step-by-step explanation:
Recall that in one full revolution, the wheel will tavel the length of the wheel's circumference, That is:
In each revolution the wheel will cover 2 pi R = 2 * 3.14 * 25 cm = 157 cm
Therefore, in2 full revolutions, the wheel will cover twice this amount:
In 2 revolutions the wheel will travel: 2 * 157 cm = 314 cm.
Answer:
410
Step-by-step explanation:
-20 greater than or equal to 5w
Answers
Answer:
It depends is w is a negative or positive number
Step-by-step explanation:
5w could = 5 x 4 = 20 this is greater than -20
5w could = 5 x -4 = -20 this is equal to -20
hope this helps...
wht do i put in the square box ?
Answers
Answer:
3.75
Step-by-step explanation:
Volume = length x width x height
= 2.5 x 1 x 1.5
= 3.75 cm^3
WE count number of blocks for all values seperately, like
for height its three blocks and one block is equal to 1/2
so.
1/2 x 3= 1.5
What is Y= -3/10x-8 written in standard form?
Answers
Hope this helps!
What is the degree of the monomial?
Only write the numerical value as your answer.
8x^3
Answers
Responder:
1
Explicación paso a paso:
cuando una variable no tiene exponente, el grado siempre es uno. Ej: 8x es lo mismo que 8x elevado a 1
pleaseee help find for b
Answers
Answer:
[tex] \frac{8}{7} = \frac{b}{b - 10} \\ 7b = 8b - 80 \\ - b = - 80 \\ b = 80[/tex]
For matinee at a local theater, adult tickets cost
$6 and kids under 12 pay only $4. Ninety
tickets were sold for a total of $428. Which
system of equations correctly represents this
problem if you let a represent the number of
adult tickets sold and k represent the number of
kid tickets sold.
Answers
Answer:
Step-by-step explanation:
The ratio of dogs to cats at the pet store is 2:5. If there are 14 total pets, how many dogs and cats are there? *
Answers
Answer:
4 Dogs and 10 Cats
Step-by-step explanation:
2*2=4
5*2=10
4:10
Hope this helped!
The absolute value of -15 is -15 because -15 is 15 units to the left of zero
Answers
Answer: False
Step-by-step explanation: The absolute value of -15 is 15.
can u plzz find me a length of adjacent
Answers
Answer:
There is no answer
My Logic:
The picture does not specify the degree of angle for each corner, nor can i understand what the random "a" is. also the side all the way to the left has an un-readable number.
Find the area of the composite figure.
Answers
Answer:
48
Step-by-step explanation:
4x2=8
4x3=12
12/2=6
In the diagram, each shape has a value and the sums of the shapes in each of the first three rows is given. Find the sum of the shapes in the fourth row.
Answers
Answer:
26
Step-by-step explanation:
2 squares + 3 circles = 31. So, the sum of the squares is divisible by two, and the sum of the circles is divisible by 3. Then, I used trial and error to figure out that the square's value is five, and the circle's value is seven. 5 + 7 + 7 = 19. 27 - 19 = 8. The triangle's value is eight. 5 + 7 + 12 = 24. It works. 15 + 7 + 4 = 26
Answer:
26
Step-by-step explanation:
i did it i got it correct!!!
Triangle DEF is a right triangle, and mD is 32. What is mF? A. 32 B. 45 C. 58 D. 68
Answers
Answer:
C. 58
Step-by-step explanation:
Right angle = 90 degrees
90 + 32 = 122
180 - 122 = 58 degrees for m∠F
What does |-7| equals ?
Answers
Answer:
7
Step-by-step explanation:
Answer:
the answer is 7
Step-by-step explanation:
when the lines are around it it means to find the value without a sign
A fruit salad recipe calls for 2 cups of
bananas for every 3 cups of apples. If
Shannon is using 9 cups of apples to
make fruit salad for a party, how many
cups of bananas does she need? Help me
Answers
Answer:
6 cups
Step-by-step explanation:
9 / 3 = 3
3 x 2 = 6
Hope that helps!
Answer:
6 cups of bananas
Step-by-step explanation:
there are 9 cups of apples, so 3 cups of apples need to be multiplied by three. that means you have to multiply the 2 cups of bananas by three.
How many solutions does
Y = 2x + 10
3y - 6x = 30
Show all work
A no solution
B one solution
C infinity solutions
Answers
Answer:
A no solution
Step-by-step explanation:
y = 2x + 10
3y - 6x = 30
3(2x+10) -6x =30
6x +30 -6x =30
6x -6x = 30-30
0=0
Alecia had save 60% of the cost of a new cell phone. If she has saved $105, what is the full price of the cell phone?
Answers
A tv sells for $300 and is marked down 30%. What is the amount of
the discount and the sale price
Answers
Answer:
the amount of discount is $210
Step-by-step explanation:
30(.30)
90
90 is 30% of 300
subtract:
300-30= 210
Answer:$210
Step-by-step explanation:
