Answer:
y= 2x + 6
Y=2x + 6
Step-by-step explanation:
The graph of this system of equations will have two lines exactly on top of each other.
QUADRATIC EQUATION – WORD PROBLEMS
Fatima got 16 marks more than Zahra in Math test. The product of their mark is 1380. Find their marks.
The answer 30 ,46
I just need the steps
Answer:
Fatima's points = 46
Zahra's points = 30
Step-by-step explanation:
Let's give names to the unknowns (the number of points each one got)
Fatima's points = y
Zahra's points = x
Now create the equations given by the info they provide:
"Fatima got 16 marks more than Zahra"
y = x + 16
"The product of their mark is 1380."
x * y = 1380
Now use the first equation as substitution for "y" in the second equation:
x * (x + 16) = 1380
reduce the expression:
x^2 + 16 x = 1380
x^2 + 16 x - 1380= 0
Solve using quadratic formula:
[tex]x=\frac{-16+/- \sqrt{16^2+4(1380)} }{2} \\x=\frac{-16+/- \sqrt{5776} }{2} \\x=-8+/- 38\\x = 30\,\,\,or\,\,\,x=-46[/tex]
we pick 30 since the scores from a test must be larger than zero.
Now we use the first equation to solve for the other variable;
y = 30 + 16 = 46
then x = 30 and y = 46
3 + (-4)
1/4 X (-1 1/2 - 1/2)
Answer:
35
Step-by-step explanation:
PLEASE HELP!!! ILL GIVE BRANLIEST *EXTRA POINTS* dont skip :((
D
The reason its D is because π is a irrational and its not a real number. Search it up. Hope i get brainliest!
hope this helped :)
f(x)=x^(2)-4x+32 is it true that it equals (0,32) on the y-intercept
Answer: Yes this equation is true.
How Do I know? Well, let's graph this and the answer is (0,32)
Answer:
Yes, it's true
Two angles of a triangle measure 53. What is the measure of an exterior angle at each vertex of the triangle?
Answer:
53+53=106
180-106=74
74 + 53= 127 (answer 1)
53+53=106 (answer 2)
74+53=127 9answer 3)
The measure of each exterior angle is 106, 127, and 127 degrees if the two angles of a triangle measure 53.
What is the triangle?In terms of geometry, the triangle is a three-sided polygon with three edges and three vertices. The triangle's interior angles add up to 180°.
We have:
Two angles of a triangle measure 53:
The measure of the angles of a triangle:
53, 53, (180-53-53)
53, 53, 74 in degrees
As we know,
The sum of the two interior angles of a triangle is equal to the exterior angle:
Exterior angle(1st vertex) = 53 + 53 = 106 degrees
Exterior angle(2nd vertex) = 53 + 74 = 127 degrees
Exterior angle(3rd vertex) = 74 + 53 = 127 degrees
Thus, the measure of each exterior angle is 106, 127, and 127 degrees if the two angles of a triangle measure 53.
Learn more about the triangle here:
brainly.com/question/25813512
#SPJ2
NEED HELP ASAP!! which function has a range of y is greater than or equal to 0
Answer:
c
Step-by-step explanation:
The third function has a range of y that is greater than or equal to 0.
What is a function?A function is a kind of rule that, for one input, gives you one output.
For the first function, it contains negative values for y, so it was eliminated.
The second function did not start from zero, so it was eliminated.
The third function obeys the given condition, but the last function contains negative values for y.
Hence, the third function satisfies the condition that y is greater than or equal to 0.
To learn more about function, use the link given below:
https://brainly.com/question/21145944
#SPJ2
Drag a reason to each box to complete the proof
What is 3/4 of a dollar forgot will mark Brainliest if right
Answer:
0.75 U.S. dollars
Step-by-step explanation:
If you're talking U.S dollar. It's 0.75 cents.
This doesn't seem like college work.
The math club is selling gift wrap for a fumdraiser. They sold all 45 rolls of solid wrapping paper at $4 each and rolls of patterned wrapping paper at $5 each. If they made $265 how many rolls of patterned wrapping paper did they sell
Answer:
17 rolls
Step-by-step explanation:
4 x 45 = 180
265-180 = 85
85 ÷ 5 = 17
hope this helps ;)
You move right 2 units and left 10 units. You end at (-5, -1). Where did you start?
Answer:
(-13,-1)
Step-by-step explanation:
Moving right means moving positively on the x-axis
Moving left means moving negatively on the x-axis
Follow the equation backwards using the x-coordinate:
Move left 10 units-- -5-10 = -15
Move right 2 units-- -15+2 = -13
Since the y-coordinate did not change, the point you started at is (-13,-1)
Vhat is the equation of the line that is parallel to the
given line and passes through the point (2, 3)?
O x + 2y = 4
O x + 2y = 8
O 2x + y = 4
O 2x + y = 8
Step-by-step explanation:
second one because
only x+2y=8 passes through the point (2,3)
the proof is 2+2*3=2+6=8
if we replace the given point to the other equations we will take wrong results for example
first equation
x+2y=4. 2+2*3=2+6=8 that is not equal to 4
Slopes of lines which are parallel to each other is same. The equation of the line which is parallel to y = mx + c and passes through (2,3) point is y = m(x-2) + 3
How are parallel straight lines related?Parallel lines have same slope, since slope is like measure of steepness and since parallel lines are of same steepness, thus, are of same slope.
In the line of the form [tex]y = mx + c[/tex], the coefficient of x, which is 'm' here, is the slope of the line [tex]y = mx + c[/tex]
Suppose that the given line be:
[tex]y = mx + c[/tex]
(we assume this, because the question is a bit incomplete as the initial line isn't given)
And we've to find the equation of a line which is parallel to the line given above, and passes through (2,3).
Suppose it be:
[tex]y = mx + b[/tex] (as the slope of parallel lines would be same).
This line passes through (2,3), so the equation must be true for (x,y) = (2,3).
Putting it, we get:
[tex]y = mx + b\\3 = m(2) + b\\3 - 2m = b[/tex]
Thus, the equation of this line is:
[tex]y = mx + b \\y = mx + (3-2m)\\y = m(x-2) + 3[/tex]
Learn more about parallel lines here:
https://brainly.com/question/13857011
#SPJ2
help asap please 25 points
Answer:
a is 75.00 b is 12 meters above c is credit of 23.00
Step-by-step explanation:
2/3 plus 6 1/5
pls also thank you if you do and you get brainlist
What is the answer
Please help very urgent
Answer:
3
Step-by-step explanation:
Find the value of an that makes each number sentence true 2/3 x N = 1
Answer:
1 1/2
Step-by-step explanation:
n= 3/2
Decimal Form:
n= 1.5
Mixed Number Form:
n = 1 1/2
Aaliyah invested $350 in an account paying an interest rate of 4% compounded continuously. Assuming no deposits or withdrawals are made, how much money, to the nearest dollar, would be in the account after 20 years?
Answer:779
Step-by-step explanation:
Delta
of the 50 students in the cafitera, 7 have red hair. If there are 750 students in the school, predict the number of students who have red hair.
You need 660 mL of a 80% alcohol solution. On hand, you have a 40% alcohol mixture. How much of the 40%
alcohol mixture and pure alcohol will you need to obtain the desired solution?
You will need
mL of the 40% solution
and
mL of pure alcohol.
Submit Question
Let a be the amount of 40% solution and b be the amount of pure alcohol that you will use.
You want to end up with a volume of 660 mL, so
a + b = 660
For each mL of solution used, the 40% solution would contribute 0.4 mL of alcohol, and the pure alcohol will contribute 1 mL of alcohol. In the desired solution, you want a concentration of 80% alcohol, so that it contains 0.8 • 660 mL = 528 mL of alcohol, and
0.4a + b = 528
Solve the system of equations above. Subtracting the second from the first eliminates b and lets us solve for a :
(a + b) - (0.4a + b) = 660 - 528
0.6a = 132
a = 220
Then
220 + b = 660
b = 440
So you will need 220 mL of the 40% solution and 440 mL of pure alcohol.
what’s the sum of g and -7
I don’t understand the question.
The number of pages read varies directly as the number of minutes spent reading. After 20 minutes, Zack had read 12 pages. How many pages can Zack read in 35 minutes? Do not include units in your answer.
Answer:
21
Step-by-step explanation:
Are f and g inverses of each other?
Answer:
The answer is: g ( x) and f ( x) are not inverses of each other.
Step-by-step explanation:
This is why you need to check both ways: sometimes there are fussy technical considerations, usually involving square roots, that force the composition not to work, because the domains and ranges of the two functions aren't compatible.
Hope this helps : )
Suppose we write down the smallest positive 2-digit, 3-digit, and 4-digit multiples of 9. what is the sum of these three numbers?
Answer: 1134
Step-by-step explanation:
At the market, 8 batteries cost $10,
How much do 6 batteries cost?
Answer:
$7.50
Step-by-step explanation:
You can use proportions to find that 8/10 = 6/x
then you can multiply 10 by 6 and divide the result by 8 to get the answer.
You can also divide 10 by 8 to get 1.25 and multiply it by 6, as 10 divided by 8 gives you the unit rate, or the price of each battery. Then you multiply it by 6 to get 7.5, or the cost of 6 batteries.
Hope this helps!
Maggie's brother is 4 years younger than three times her age. The sum of their ages is 16.
How old is Maggie?
Answer:
Maggie is 5 years old
Step-by-step explanation:
3M-4+M=16
add 4 to both sides
4M=20
Divide both sides by 4
20/4 = 5
M/Maggie is 5
What is 1 and 3 quarters multiplied by 4 and 1 sixth
1_3/4 • 4_1/6
(7/4) (25/6) = 175/24
Answer: 175/24
What is the length of the hypotenuse of the triangle?
Answer:
It depends, you have to use the Pythagorean Theorem
explanation:
Answer:
If you have both legs, then you can use the PYTHAGOREAN THEOREM to find the value of the hypotenuse. a^2 + b^2 = c^2 ( a= leg, b = leg, c = hypotenuse)
Step-by-step explanation:
If you do not have a leg value, but you do have an angle measure, then you can use Sine or Cosine to find the hypotenuse. Sin = opposite/hypotenuse and Cos = adjacent/hypotenuse.
Let me know if you need further explaination!
Please answer asap
Use the graph to determine the input value for which f(x) = g(x) is true.
x = 0.5
x = 1
x = 1.5
x = 2
What is 8/9 - 1/18? Please put in fraction form.
:)
Answer:
5/6
Step-by-step explanation:
8/9=16/18
16/18-1/18=15/18
15/18 divided by 3 is 5/6
Answer:
5/6
Step-by-step explanation:
Beth bought 35¢ stamps and 15¢ stamps at the post office. If she purchased 60 stamps at a cost of $17, how many of each kind did she buy?
Answer:
She buys 20 Stamps of $0.15 and 40 Stamps of $0.35.
Step-by-step explanation:
40 x 0.35 = 14
20 x 0.15 = 3
$14 + $3 = $17
40 ($0.35) + 20 (0.15) = 60 stamps
Someone please help!!!!!!!!!
Answer:
-32
Step-by-step explanation:
Simply input the x and y values.
New equation:
| 147-(-9) | /(-4) +7
Step one:
147-(-9) = 156
Step two:
|156|/-4 =-39
Step three:
-39+7 =-32
If you evaluate the expression it comes out to -32