Solve the system of equation
Answer:
x= 3, y= 8
or x= -1, y= 0
Step-by-step explanation:
y= 2x² -2x -4 -----(1)
y -2x= 2
y= 2x +2 -----(2)
Substitute (1) into (2):
2x² -2x -4= 2x +2
2x² -2x -4 -2x -2= 0 (bring all terms to the left)
2x² -4x -6= 0 (simplify)
x² -2x -3= 0 (÷2 on both sides)
(x -3)(x +1)= 0 (factorise)
x -3= 0 or x +1= 0
x= 3 or x= -1
Substitute into (2):
y= 2(3) +2 or y= 2(-1) +2
y= 6 +2 or y= -2 +2
y= 8 or y= 0
What is the most important variable in the problem?
An auto shop has 98 cans of oil at the beginning of the day. 12 hours later, there are 10 cans remaining. How many were sold?
Answer:
Step-by-step explanation:
There are two if you want to answer the question. You have to know the starting value, and you have to know the ending value.
The question asks how many cans were sold. You can't answer that without knowing what you started with and what you ended with.
98 - 10 = 88
Please help me!!
Geometry
Answer:
3
Step-by-step explanation:
M is the midpoint of AB. That means that 2 binomials are equal.
4n - 40 = 7* (-2n + 2) Remove the brackets
4n - 40 = - 14n + 14 Add 14n to both sides
4n+14n - 40 = -14n+14n + 14 Combine
18n - 40 = 14 Add 40 to both sides
18n = 14 + 40 Combine
18n = 54 Divide by 18
18n/18 = 54/18 Combine
n = 3
Can someone help me out with this? First to answer will get brainliest. :)
At noon the temperature was 0°C. If the temperature then rose 3°C per hour, what was
the temperature after 7 hours?
Answer:
21 degrees
Step-by-step explanation:
NEED HELP ASAP!!!!!!!!!!!!!!!!!!!!!!!!!
Answer:
$2.75 because if you was to divide 22 by 8 you would get 2.75 , then to check your answer you would multiply 2.75 by each number by it and check the graph.
Step-by-step explanation:
Plz help with this question
Answer:
A
Step-by-step explanation:
Given
6 ([tex]\frac{x}{2}[/tex] + 4) ≥ 9 ( distribute the parenthesis by 6 )
3x + 24 ≥ 9 ( subtract 24 from both sides )
3x ≥ - 15 ( divide both sides by 3 )
x ≥ - 5 → A
Answer:
A
Step-by-step explanation:
First, divide both sides by 6:
6(x/2 + 4) ≥ 9
x/2 + 4 ≥ 9/6
x/2 + 4 ≥ 3/2
Now, subtract 4 from both sides:
x/2 ≥ 3/2 - 4
x/2 ≥ -5/2
Finally multiply both sides by 2:
x ≥ (-5/2) * 2
x ≥ -5
The answer is thus A.
~ an aesthetics lover
if there are 689 turtles flying on clouds and 90 turtles fall and die how much turtles are flying on clouds find the answers yourself I know you can do it! :)
Answer:
599
Step-by-step explanation:
uh just subtraction
Answer:
599
Step-by-step explanation:
689-90=599
Thats pretty sad...
Use the greatest common factor to write each answer in simplest form what is 3/4 • 2/3?
Help ASAP
Answer:
1/2
Step-by-step explanation:
Integers on number lines
I need help with this question.
-3(k+5)>-7-3k
Answer:
no solution
Step-by-step explanation:
-3(k+5)>-7-3k
Distribute
-3k -15 > -7-3k
Add 3k to each side
-3k+3k -15 > -7-3k+3k
-15 > -7
This is not true so there is no solution
1/3 (d +4)-9 = 1/2(6-d)-4
Will mark as brainliest and 50 points will be given
Answer: 8
Step-by-step explanation:
Step 1: Simplify both sides of the equation.
Step 2: Add 1/2d to both sides.
Step 3: Add 23/3 to both sides.
Step 4: Multiply both sides by 6/5.
d=8
HELP WILL MARK YOU BRAINLIEST NO GUESSES PLZ!!!!
Answer:
I believe the answer is the first one A
Step-by-step explanation:
If you do this will construct the perpendicular bisector for AB.
Answer:
iT IS A
Step-by-step explanation:
help I’ll award brainliest
Answer:
Most likely the answer hope this helps :P
Step-by-step explanation:
1= 10
2= 20
5 = 50
8 = 80
X = 100
C.B. Clothing ordered sweaters at a wholesale cost of $20 each. The store marked up the price 50 percent above the wholesale cost to use as their selling price. After every month that the sweater didn't sell, the store reduced the selling price by 20 percent. After how many monthly price reductions did the price dip below the wholesale cost?
Answer:
2 months
Step-by-step explanation:
The selling price of the sweater = 0.5 x $20 = $30
For every month that the sweater doesn't sell, price is reduced by 20% = 0.2 x $30 = $6
After the first month, price is reduced by $30 - $6 = $24
After the second month, price is reduced by $24 - $6 = $18
Answer: 2 months
Step-by-step explanation: daddy long legs is smart
The equation of y-axis is of the form
Answer:
x=0
Step-by-step explanation:
The equation of the y axis corresponds to the equation of every point that lies and constitute the y-axis. As the horizontal distance from every point lying on the y-axis with the main y-axis remains 0, hence, its abscica (x-coordinate) also will be zero.
Hence, x=0
combine like terms to create an equivanlent expression and simplify coefficents and constants -6/5-2/3v+4/15+1/3v
Answer: −
1
4
1
5
+
−
2
3
+
3
Step-by-step explanation: because im smart and ty for the points mate or girly girl
There are 2 computers for every 3 iPads in this technology room
Answer:
The Ans Is 2:3
Step-by-step explanation:
Leah bought a dress for the school dance that was priced ar $98.25. If the sales tax is 7.25%, how much money is added to the price?
Answer:
105.37
Step-by-step explanation:
Dairy Delight offers a free ice cream every time that the saleperson does not greet the customer with a smile. Last year Dairy Delight gave away free ice cream 3.8% of the time. What is the probability of randomly selecting 3 customers from last year who all received a free ice cream? Round the answer to 6 decimals. Show your work below.
Answer:
0.000055
Step-by-step explanation:
Given that:
Percentage of free ice cream Given last year = 3.8%
From a total population of 1 ; proportion of those who received free ice cream = 3.8/100 = 0.038
Hence,
Probability of selecting a customer who received free Ice cream = 0.038
Hence, if 3 people are picked randomly from last year who received free ice cream:
(0.038 * 0.038 * 0.038) = 0.000054872
= 0.000055 ( to 6 decimal places)
Given a rhombus ABCD with vertices A(2,6), B(6,7), C(5,3), and D(1,2). What would the coordinates of its image be if it was rotated 180° about the origin?
Answer:
The coordinates would be A(6,2), B(7,6), C(3,5), D(2,1)
Step-by-step explanation:
When conducting a 180 degree rotation, you can just reverse the points to get your answer.
The required coordinate of the rhombus when rotates around the origin by 180° is A(-2, -6), B(-6,-7), C(-5, -3), and D(-1, -2).
Given that,
Given a rhombus ABCD with vertices A(2,6), B(6,7), C(5,3), and D(1,2). What would the coordinates of its image be if it was rotated 180° about the origin is to be determined.
Coordinate, is represented as the values of positions on the x-axis and y-axis of the graph
here,
Given the coordinates of the rhombus, A(2,6), B(6,7), C(5,3), and D(1,2).
Now, after rotation through 180° around the origin is A(-2, -6), B(-6,-7), C(-5, -3), and D(-1, -2), because while rotating the rhombus it would go to the third quadrant.
Thus, the required coordinate of the rhombus when rotates around the origin by 180° is A(-2, -6), B(-6,-7), C(-5, -3), and D(-1, -2).
Learn more about coordinate here:
brainly.com/question/13498438
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In 2001, gold was priced at (0.5x + 300) dollars per ounce. Its price tripled in 2008 and then doubled in 2011. In 2016, its price dropped to 2 3of the price in 2011.• Write an expression for the price of gold per ounce in 2016.• Explain how you found the expression. Write your expression and explanation in the space below
Given:
Price of gold in 2001 = (0.5x+300)
Its price tripled in 2008 and then doubled in 2011. In 2016, its price dropped to [tex]\dfrac{2}{3}[/tex] of the price in 2011.
To find:
An expression for the price of gold per ounce in 2016.
Solution:
We have,
Price of gold in 2001 [tex]= (0.5x+300)[/tex]
Its price tripled in 2008.
Price of gold in 2008 [tex]= 3(0.5x+300)[/tex]
Then doubled in 2011.
Price of gold in 2011 [tex]= 2\times 3(0.5x+300)[/tex]
In 2016, its price dropped to [tex]\dfrac{2}{3}[/tex] of the price in 2011.
Price of gold in 2016 [tex]=\dfrac{2}{3}\times 2\times 3(0.5x+300)[/tex]
[tex]=2\times 2(0.5x+300)[/tex]
[tex]=4(0.5x+300)[/tex]
[tex]=4(0.5x)+4(300)[/tex]
[tex]=2x+1200[/tex]
Therefore, the required expression for the price of gold per ounce is (2x+1200).
An airplane is flying at an altitude of 2.7 miles and is 8.3 miles from the runway. Find the angle of depression that the airplane must make to land safely.
Answer:
-8.72811548... i think
Step-by-step explanation:
a² + b² = c²
8.3² + 2.7² = c²
68.89 + 7.29 = c²
76.18 = c²
√76.18, -√76.18 = c
c = 8.72811548…, −8.72811548…
I think because it's depression, it's -8.72811548...
You and your friend share a paper route. You can deliver 4 papers in one minute and your friend can deliver 3 papers in one minute. Seventy-five papers have to be delivered each day on the route. Let n be the number of papers you deliver. A) use the verbal model to write an equation that you can use to find out how long it will take the two of you working together to deliver the papers.
Answer:
[tex]n\times \frac{1}{4}+(75-n)\times \frac{1}{3}[/tex]
Step-by-step explanation:
Given that:
4 papers are delivered by first person in one minute.
Rate of delivering one paper
or
Time taken to deliver one paper can be calculated by the formula:
[tex]\dfrac{\text{Total Time taken}}{\text{Number of papers delivered}}[/tex]
Time taken to deliver one paper by first person = [tex]\frac{1}{4}[/tex]
3 papers are delivered by second person in one minute.
Time taken to deliver one paper by second person = [tex]\frac{1}{3}[/tex]
Total number of papers = 75
Number of papers delivered by first person = [tex]n[/tex]
So, number of papers delivered by second person = ([tex]75-n[/tex])
Time taken to deliver [tex]n[/tex] newspapers = Number of newspapers delivered multiplied by Time taken to deliver one newspaper
Time taken by first person = [tex]n\times \frac{1}{4}[/tex]
Time taken by second person = [tex](75-n)\times \frac{1}{3}[/tex]
So, Total time taken can be written as:
[tex]n\times \frac{1}{4}+(75-n)\times \frac{1}{3}[/tex]
Solve the equation 5x+9=4.
Answer: x=-1
5x+9=4
-9 -9
_______
5x= -5
/5 /5
x= -1
[tex]\huge{\boxed{\sf{x=-1}}}[/tex]
[tex]\huge{\pink{Given \: Equation:}}[/tex]
Step 1:
[tex]5x + 9 = 4[/tex]
Step 2:
[tex]⇒5x = 4 - 9[/tex]
Step 3:
[tex]⇒5x = - 5[/tex]
Step 4:
[tex]⇒x = \frac{ - 5}{5} [/tex]
Step 5:
[tex]⇒x = - 1✓[/tex]
[tex]\huge{\blue{Verification:}}[/tex]
Step 1:
[tex]5x+9=4.[/tex]
Step 2:
[tex]⇒5 \times - 1 + 9 = 4[/tex]
Step 3:
[tex]⇒ - 5 + 9 = 4[/tex]
Step 4:
[tex]\red{⇒4 = 4}[/tex]
[tex]\huge{†Hence \: Vertified†}[/tex]
Four people share 2/5 pound of peanuts equally. What fraction of a pound of peanuts does each person receive? Answer in simplest form.
Answer: 1/10
Step-by-step explanation:
2/5 x 1/4= 1/10
keep, change, flip
Find the x- and y-intercepts of the graph of the linear equation −4x+8y=−16.
The x-intercept is
.
The y-intercept is
Answer:
x-intercepts is (4,0)
y -intercepts is (0,-2)
Step-by-step explanation:
Using slope intercept form, x- intercept is (4,0) and y - intercept is (0,-2)
What is slope intercept form and how it can be used to find y and x intercept of the line?The slope intercept of a line is given by the equation y = m x+ c
y is y coordinate, x is x coordinate, m is the slope of the line
c is y- intercept of the line
y- intercept can also be found if a point on the line is given say (a, b) and slope is given .We put this point in the given slope intercept form and find c.
For finding x - intercept, put y = 0 in the equation and find value of x.
Given line -4x +8y = -16
Then add 4x both sides , we get
⇒4x+4x +8y = -16+4x
⇒ 8 y = 4x -16
Divide both sides by 8
⇒ y = (4/8) x - (16/8)
⇒ y = (1/2)x -2
Comparing this equation with y =mx+c
⇒ c =-2
Put y = 0 in the equation y = (1/2)x -2
⇒ 0 = x/2 -2
⇒2 = x/2
⇒4 =x
Therefore x- intercept is (4,0) and y - intercept is (0,-2)
Also, learn more about the slope intercept form from the link below:
brainly.com/question/9682526
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this is urgent i’ll get a F.... and my momma is crazy so please help it’s my last question
Answer:
Step-by-step explanation:
The measure of angle BCD is 22 degrees
The measure of angle DCE is 158 degrees
The measure of angle BCF is 158 degrees
The measure of ECF is 22 degrees
Answer:
BCD = 22
DCE = 158
BCF = 158
ECF = 22
Step-by-step explanation:
first one is alternate interior angles
second one is 180 - 22
third one is congruent to second one
last one is congruent w/ BCD
which expressions are equivalent to 4b?
b+2(b+2b)
3b+b
2(2b)
Answer:
3b+b and 2(2b)
Step-by-step explanation:
BRAINLIEST APPRECIATED!
THANKS!
Ivan is getting ready for a long road trip. He wants to pack a few books from his collection of 5 novels and 7 collected short stories books. He asks his friend to select a book without showing. From the remaining books, Ivan then himself picks a random book, which turns out to be a novel. The third book that he randomly selects from the remaining ones is also a novel. Find the probability that Ivan will have 3 novels to read during the road trip.
Answer:
The probability that Ivan will have 3 novels to read during the road trip is 0.0455
Step-by-step explanation:
Given;
number of novels = 5
number of short stories = 7
total number of books = 12
The probability that Ivan's friend pick's a novel = 5 / 12
The probability of Ivan's first pick to be a novel = 4 / 11
The probability of Ivan's second pick to be a novel = 3 /10
The probability that Ivan will have 3 novels to read during the road trip is given by;
= p(Ivan's friend pick) and P(Ivan's first pick) and P(Ivan's second pick);
[tex]= \frac{5}{12}*\frac{4}{11}*\frac{3}{10}\\\\ = \frac{1}{22}\\\\ = 0.0455[/tex]
Therefore, the probability that Ivan will have 3 novels to read during the road trip is 0.0455