Answers
Answer:
The solution to the system is: (3, 2)
Step-by-step explanation:
We are given:
y = -2x + 8
and
4x - 2y = 8
We are given the "y" in this equation.
So when solving these questions, it is better to use the substitution method when solving
So we substitute "y = -2x + 8" with "y" in the equation "4x - 2y = 8
So, the equation would look like this: 4x - 2(-2x + 8) = 8
And we are solving for "x" in the equation
4x − 2(−2x + 8) = 8 (Distribute)
−2(−2x+8) (Simplify)
4x + 4x − 16 = 8 (Combine Like Terms)
(4x + 4x) − 16 = 8 (Simplify)
8x − 16 = 8 (Add 16 to both sides)
8x - 16 + 16 = 8 + 16 (Simplify)
8x = 24 (Divide both sides by 8)
8x/8 = 24 (Simplify)
x = 3
Now that we know the "x", in this equation, we can solve for the "y"
We just substitute the "x" into the equation "y = -2x + 8"
The equation looks like this: y = -2(3) + 8
y = -2(3) + 8
Multiply −2 and 3 to get −6
y = -6 + 8
Add −6 and 8 to get 2
y = 2
(x, y) = (3, 2)
The solution to the system is: (3, 2)
Related Questions
A cone is shown
What is the approximate volume of the cone?
A.
120 cubic inches
B.
628 cubic inches
C.
1,884 cubic inches
D.
2,512 cubic inches
Answers
Answer: 628.32 inch cubed
Step-by-step explanation:
Formula for volume of a cone: 1/3 x area of base x height
Area of base: pi x radius squared
= pi x 10 squared
= 314.16
Now, 1/3 x 314.16 x 6
= 628.32
Answer:
Answer:
B
Step-by-step explanation:
[tex]Known\ by\ the\ graphic,\ r=\frac{1}{2}\bullet20=10,\ h=6[/tex]
[tex]V=\frac{1}{3}[/tex]π[tex]r^2[/tex]·h[tex]=200\pi\approx628[/tex]
[tex]So\ choose\ B.[/tex]
I hope this helps you
:)
I got another question
Answers
x = -4.09 and 18.09
In this context, 18.09 makes the most sense to be an answer, because the stream wouldn’t hit the ground ‘negative’ feet away from the sprinkler, so -4.09 doesn’t make sense
CAN ANYONE HELP ME??
if anyone can help me out with my math class this quarter, it'd be greatly appreciated. my mental health hasn't been the best, and it's really reflecting in my grades. staying focused, motivated and positive has been the hardest. i can comment my instagram username if anyone can help, so we can talk through dms. :) thank you so much.
Answers
Answer:
i'd give you my insta
Step-by-step explanation:
*I NEED THIS ASAP*
5. number of terms
6. degree
7. leading coefficient
8. end behavior
9. turning point(s)
10. x-intercept(s)
11. relative minimum(s)
12. relative maximum(s)
Answers
Answer:
5 terms
to the fourth degree
leading coeff of 1
3 turning points
end behavior (when x -> inf, y -> inf. When x -> - inf, y -> -inf)
x intercepts are (0,-4) (0,-2) (0,1) (0,3)
Relative min: (-3.193, -25) (2.193, 25)
Relative max: (-0.5, 27.563)
Step-by-step explanation:
The terms can be counted, seperated by the + and - in the equation given.
The highest exponent is your degree.
The number before the highest term is your leading coeff, if there is no number it is 1.
The turning points are where the graph goes from falling to increasing or vice versa.
End behaviour you have to look at what why does when x goes to -inf and inf.
X int are the points at which the graph crosses the x-axis.
The relative min and max are findable if you plug in the graph on desmos or a graphing calculator.
PLEaseeeEEE help will give brainliest and 20 points!
Given the following polynomial describe the end behavior:
f(x) = 6x^5 + 5x^4 + x-10
Answers
Answer:
Falls to the left and rises to the right
Hope this helps!
The graph of g(x) = x2 + 2 is a translation of the
4
graph of f(x)
by
units.
2
DONE
-4
-2
-2
-4
y=x²
Answers
Answer:
up and 2; down and 3
Step-by-step explanation:
hope this helps!! have an amazing day <3
The equation the function after the transformation is g(x) = -4x² - 16
What is transformation?Transformations are changes done in the shapes on a coordinate plane by rotation, reflection or translation.
here, we have,
to determine the transformation of the function:
The equation of the function is given as
f(x) = x²+2
The sequence of transformations is given as follows:
Translate up by 2 units
Reflection across the x-axis
Vertically stretched by a factor of 4
When the above transformations are combined, we have:
Translate up by 2 units: g(x) = f(x) + 2
Reflection across the x-axis: g(x) = -(f(x) + 2)
Vertically stretched by a factor of 4: g(x) = -4(f(x) + 2)
So, we have
g(x) = -4(x²+2 + 2)
Expand
g(x) = -4x² - 16
Hence, the function g(x) is g(x) = -4x² - 16
Read more about transformation at
brainly.com/question/27224272
#SPJ7
need some help with the question in the image
Answers
Answer:
oranges $3.50 per Kg, bananas $3 per Kg
Step-by-step explanation:
let b represent cost of bananas and o represent cost of oranges , then
2b + 3o = 16.5 → (1)
o = b + 0.5 → (2)
substitute o = b + 0.5 into (1)
2b + 3(b + 0.5) = 16.5 ← distribute parenthesis on left side and simplify
2b + 3b + 1.5 = 16.5
5b + 1.5 = 16.5 ( subtract 1.5 from both sides )
5b = 15 ( divide both sides by 5 )
b = 3
substitute b = 3 into (2)
o = 3 + 0.5 = 3.5
cost of oranges = $3.50 and cost of bananas = $3
J Problem: Find the slope of a line parallel to each given line. 5) y = 3x - 5
Answers
Answer: y = 3x + 5
............................
plz mark brainlest
simplify 3(2x-2)-2(x-2)
A.3x-3
B.3x-4
C.4x-2
D.4x-4
Answers
Hello, can somebody help?
x+4y=9
if x = y+4
Answers
Answer:
4x + 8y =12 [inconsistent]
x + 2y = -3
x = 6 [inconsistent]
x = -2
2y = 5x + 6 [inconsistent]
-10x + 4y = 8
x - 3y=2
4x - 12y = 8 [dependent]
x+ 4y = 12 [independent]
2x - 8y = 4
4x + 8y = -6 [dependent]
6x + 12y = -9
4y - 2x = 6 [inconsistent]
8y = 4x -12
y - x = 0 [independent]
y = -x
2y - x = 4
1/2x - y = 2 [inconsistent]
Step-by-step explanation:
BRAINLIEST FOR THE CORRECT ANSWER!!
Look at the graph. How would you describe the activity in Nora's Savings Account over the 10th, 11th, and 12th month?
A) The number of dollars did not change.
B) The number of dollars decreased.
C) The number of dollars slightly increased.
D) The number of dollars dramatically increased
Answers
Answer:
D
Step-by-step explanation:
answer choices a/b can be eliminated because it's increasing, and answer choice c can be ruled out because its a dramatic increase!
hope this helps!<3
Can you say if each statement is true or false
2. Counter statements like sum += 1 are often used in the body of for loops.
3. A for loop with the header for i in range(1, 5): would iterate exactly 5 times.
4. A for loop with the header for i in range(4, 10, 2): would iterate exactly 6 times.
5. The for loop with the header for i in range(4): would iterate exactly 4 times.
6. The statement sum += 1 is equivalent to the statement sum = sum + 1 True
7. A good name for a for loop's control (or loop) variable would be z.
8. A for loop is considered to be a definite loop.
9. A while loop is considered to be an indefinite loop.
Answers
The Answer Is
2.True
3.false
4.true
5.true
6.true
7.false
8.false
9.true
Expilnation
Its what I think
What is y+2=-7(x-4) in slope intercept form
Answers
Answer:
y= -7x+26
Step-by-step explanation:
not sure how to explain... just followed order of operations
on the day a coffee shop opened it had 140 customers 75% of the customers ordered a large coffee. how many customers ordered a large coffee?
Answers
= 65% x 140 = 91
65..............100
n.................140
n = 140 x 65 : 100 = 91
answer only. Thanks
Answers
the answer is b bc the way the other 2 are
Step-by-step explanation:
its the pattern.
4. Shelton earns an hourly wage at a grocery store. The following expression represents Shelton’s take home pay after taxes, social security, and his health care plan are deducted. Let x represent the number of hours Shelton worked.
10.25x − 0.21(10.25x)
a) Which term represents Shelton’s total pay before deduction?
b) Shelton wants to save $1,675 for a new laptop. If Shelton saves 25% of his take-home pay, how many hours will he need to work to meet his savings goal?
Answers
Answer:
a) Shelton’s total pay before deduction: 10.25x
b) To meet savings goal he'll have to work 827.415869 hours.
Step-by-step explanation:
Take-home pay:
10.25x − 0.21(10.25x)
10.25x − 2.1525x
8.0975x
Save 25% for new laptop:
.25(8.0975x) = 1675
2.024375x = 1675
x = 827.415869 hours
What is the gradient of the blue line? Need asap
Answers
Answer:
the gradient is -5/1 or -5 because it is a negative slope meaning you would go from top to bottom.
Step-by-step explanation:
mr clean
Answer:
-5
Step-by-step explanation:
The points through which the line passes are :-
(-1, 0) and (-2, 5)
Slope (m) = 5 - 0 / -2 + 1
= 5 / -1
= -5
Write the missing decimal so that each pair adds to 1. 2/5+decimal =1
Answers
Answer:
0.6
Step-by-step explanation:
We can get the answer by subtracting the decimal by one.
2/5 = 0.4
1 - 0.4 = 0.6
ill give brainlyst to the first person to help me:)
Answers
Q2 / 7 minutes and 30 seconds
Which number is not a perfect square?
(A) 1
(B) 25
(C) 30
(D) 36
Answers
Answer:
Hello! :) I hope I’m correct!!
Step-by-step explanation:
I think (C) 30 is not a perfect square.
(A) 1 = perfect square
(B) 25 = perfect square
(C) 30 = NOT a perfect square
(D) 36= perfect square
{Note: The square root of 30 is not an integer, so therefore 30 is not a square number}
Since the question is asking to find a number that is NOT a perfect square...
The answer would be (C) 30
Hope this helps! If you have any questions about this, feel free to ask! Have a wonderful day! ^-^
~By, BrainlyAnime~ <3
A chair can be purchased in one of four colors: red, white, green, or blue. The number of chairs purchased in each color is listed below. Red: 150 white: 450 green: 225 blue: 375 Based on the information shown in the list, what is the probability that the next chair purchased will be red?
Answers
Answer:
[tex]P(Red) = 0.125[/tex]
Step-by-step explanation:
Given
[tex]Red: 150[/tex]
[tex]White: 450[/tex]
[tex]Green: 225[/tex]
[tex]Blue: 375[/tex]
Required
Determine the probability of getting a red chair, next.
First, we nee the total number of chairs
[tex]Total = 150 + 450 + 225 + 375[/tex]
[tex]Total = 1200[/tex]
Probability of getting red is then calculated as thus;
[tex]P(Red) = Red/Total[/tex]
[tex]P(Red) = 150/1200[/tex]
[tex]P(Red) = 0.125[/tex]
There is a total of 1,500 people in the town of Markston.
Only 55% of them voted during the town's elections this year.
How many people voted?
Answers
Answer:
825
Step-by-step explanation:
Percent of 1,500
if the points (0,4) and (2,8) lie on the same line what is the rate of change of the line. I WILL GIVE BRAINLIST!!!
Answers
Answer:
2
rate of change = change in y / change x
change in y = 8-4 = 4
change in x = 2-0 = 2
4 / 2 = 2
f(x) = 3x + k
f(4) = 10
easy equation but I just need a confirmation that the answer is actually -2 lol
Answers
Answer:
-2
Step-by-step explanation:
f(x) = 3x + k
f(4) = 10
f(4) = 3×4+k
10 = 12 + k
10-12 = k
k = -2
Help someone pls I’m begging u
Answers
Answer:
[tex]\tt SA=3541.92\: cm^2[/tex]
Step-by-step explanation:
[tex]\tt SA=2\times 3.14\times 12(35+12)[/tex]
[tex]\tt 2\times \:12\times \:47\times \:3.14[/tex]
[tex]\tt 3541.92[/tex]
~
TEXT ANSWER
If you bought 28 shares of stock at $30/sh and sold them
at $25/sh.
How much did you net after selling the shares?
.
Was it a profit or a loss?
Answers
Answer:
Loss
Step-by-step explanation:
It would be a loss because you bought them for 30$ but could only sale them for 25$ meaning you lossed 5$.
This means the price you bought them for changed 16.667% decrease.
Hope it helps have a great day:)
Mount Everest is the highest mountain on Earth, measuring 8848 meters high. It takes 40 days to climb Mount Everest. Suppose that a climber climbed the same number of meters each day. About how many meters would he climb each day (rounded to the nearest 10)?
Answers
Answer: Mount Everest (8,848 m 29,029 ft) was first climbed, when the summit was reached by Edmund Percival Hillary
POINTS!! I NEED HELP WITH THIS, WILL GIVE BRAINLIEST TO BEST ANSWER
(9 & 10)
Answers
Answer: I got these correct 100%.
Step-by-step explanation:
First page:
1. True
2. True
3. True
4. True
5. False
6. True
7. False
Second page:
1.False
2.False
3.False
4.False
5.False
6.True
7.True
8.True
Jose and Florence picked apples at the local apple farm. Jose picked four more bushels
than Florence. Together they picked 30 bushels. How many did Florence pick?
Answers
Answer:The answer would be 17
Step-by-step explanation:
30-17=13 J(13) F(13+4=17) 13+17=30
please helllppp i don’t understanddd
Answers
Answer:
B
Step-by-step explanation:
First off, let's make a table for y = sin(x)
(x , y): (0 , 0) (π/2 , 1) (π , 0) (3π/2 , -1) (2π , 0)
Now, making our table for y = 4sin(x) is simple. We just have to multiply all the y-values from the previous table by 4.
(x , y): (0 , 0) (π/2 , 4) (π , 0) (3π/2 , -4) (2π , 0)
Plotting these coordinates, we get the graph depicted in letter B.