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The graph of a proportional relationship contains the point (-12, 3)
What is the corresponding equation?
Enter your answer as a fraction in simplest form by filling in the boxes.
y =
Tor
Answer:
[tex]\displaystyle y=-\frac{1}{4}\ x[/tex]
Step-by-step explanation:
Proportions
A direct proportion is a relation between variables where their ratio is a constant value. This means that if y and x are proportional, then:
y = kx
Where k is the constant of proportionality.
The value of k can be calculated if we know a point (x,y) that belongs to the graph. Substituting the point (-12,3):
3 = -12k
Solving for k:
[tex]k=-\frac{3}{12}=-\frac{1}{4}[/tex]
Thus, the corresponding equation is:
[tex]\boxed{\displaystyle y=-\frac{1}{4}\ x}[/tex]
the question is:
Jeremy is taking a non- calculator quiz in his algebra 1 class. He decided that the equation below had a value of 1.5. Jeremy has the correct value. EXPLAIN how he found this without the use of his calculator.
the equation: 2^-1+5^0
Answer:
That's very simple 2^–1 is equal to 1/2 and 5^0 is equal to 1. Then add this two. 1/2+1 is equal to 1.5.
plz rate me brainiest
Ms. Webb bought 3 sparkly markers that are $1.20 each and 4 glitter glue sticks that are $1.05 each. These were on sale for 25% off. What is the discount amount?
Answer:
5.85 is the total after the discount. The amount taken off is 1.95.
Step-by-step explanation:
help me someone:((!!!!!
a fruit company delivers its fruit in two types of boxes : large and small. a delivery of 6 large boxes and 5 small boxes has a total weight of 145 kilograms. A delivery of 2 large boxes and 3 small boxes has a total weight of 57 kilograms. how much does each type of box weigh?
Answer:
Hope this helps!
Step-by-step explanation:
2L + 3S = 83
4L + 8S = 197
Multiplies the top equation by -2.
-4L + -6S = -166
4l + 8S = 197
Adding them together...
2S = 31
S = 31/2 = 15.5
Plugging into the first equation:
2L + 3S = 83
2L + 3(15.5) = 83
2L + 46.5 = 83
2L = 83 - 46.5
2L = 36.5
L = 36.5/2 = 18.25
check:
2L + 3S = 2(18.25) + 3(15.5) = 36.5 + 46.5 = 83
4L + 8S = 4(18.25) + 8(15.5) = 73 + 124 = 197
The Large box weighs 18.25
The small box weighs 15.5
answer for brainlist and extra points!! <3
Answer:
75
Step-by-step explanation:
45+(2*15)
45+30
75
Hope it helped!
Answer:
Equation: 45 + 2(x)
Answer: 45 + 2(15) = 45 + 30 = $75
Step-by-step explanation:
45: # of money she had
2: the amount of money she makes when she completes her chores
x: the number of days she completes her chores
Hope this helps!
i need help with these questions...
k + 8 ≥ 18
2x + 3 ≤ 13
solve for the variables
The graph of a function f is shown below. Use the zeros and the turning points of the graph to find the rule for f.
A.
f(x) = x4 − 8x2 + 16
B.f(x) = −x4 + 5x2 − 4
C.f(x) = x3 + x2 − 4x + 4
D.f(x) = x4 − 5x2 + 4
Answer:
Answer is D
Step-by-step explanation:
Using the zeros of the graph we should have y=0 when we put x=-2, x=-1, x=1, x=2
Only the function on option D works, so the answer is D
please help mee please
Answer:
57 degrees
Step-by-step explanation:
180-66 = 114
114/2 = 57
Help pls I have no clue how
Answer:
Step-by-step explanation:
By using regression line calculator,
Equation of the regression line from the data given,
y = -0.38993x + 26.95184
Here, y = weekly hours of sport
x = Time to run
For x = 50 minutes,
y = -0.38993(50) + 26.95184
= 7.45534
≈ 8
Since, slope of the given regression line is negative, correlation will be negative (n).
(05.03 LC) What is the initial value of the function represented by this graph?
0
1
5
6
Answer: it is 1 :)
also i took the quiz and got it right! hope this helps!!
Combine as indicated by the signs. 2x/y2-x2 - x/y-x
Answer: (2x - xy - x^2) / (y + x)(y - x)
Step-by-step explanation: *graded correct
First simplify: 2x / y^2 - x^2 = 2x / (y+x)(y-x)
Next subtract x / y-x: 2x / (y+x)(y-x) - x / y-x
Get: x(2-y-x) / (y+x)(y-x)
Simplify numerator : (2x - xy - x^2) / (y+x)(y-x)
Tammy's allowance is $5.00. She did extra chores around the house and earned an
extra $1.75. She goes to the store with her older sister and buys an ice cream for
$2.25. On her way home she finds $1.00. How much money does Tammy have?
Answer:
5.50 this should help :p
Which of the following values are solutions to the
inequality –8 + 2x > 5
Answer:
6
Step-by-step explanation:
i guess
Please help, I don’t know how to solve this
Answer:
f(-2), where f= -43/2
f(-1), where f= -16
f(0), where f has no solution
f(1), where f= 10
f(2), where f= 31/2
Jasmine launches a model rocket from a cliff. The rocket goes up 16.8 feet above the cliff, then it drops 28.1 feet into the ocean below.
Answer:
1. Positive, 2. negative, 3. 16.8-(-28.1), Final answer -44.9.
Step-by-step explanation
Tryna cheat off the I-ready diagnostics huh
Answer:
The answer to this question is that 1. Positive, 2. negative, 3. 16.8-(-28.1), Final answer -44.9.
Step-by-step explanation:
Good luck :)
please help me . i will help you whenever you want
Answer:
6.7cm
Step-by-step explanation:
We apply Pythagoras Theorem twice.
First we find out the diagonal of the base of the cuboid.
The diagonal of the base = sqrt (2^2+4^2) = sqrt (20).
Then we find out AB by applying Pythagoras Theorem.
AB^2 = 5^2 + [sqrt (20)]^2
AB^2 = 45
AB = 6.7cm (correct to 1 decimal place)
Solve the following system of equations:
y = 2x +1
y=-x+ 4
x=?
y=?
Answer:
x = 1, y = 3
Step-by-step explanation:
Given the 2 equations
y = 2x + 1 → (1)
y = - x + 4 → (2)
Substitute y = 2x + 1 into (2)
2x + 1 = - x + 4 ( add x to both sides )
3x + 1 = 4 ( subtract 1 from both sides )
3x = 3 ( divide both sides by 3 )
x = 1
Substitute x = 1 into (1) and evaluate for y
y = 2(1) + 1 = 2 + 1 = 3
Then solution is x = 1, y = 3
o figure out a special number, Tammi’s mother was supposed to double her age and then add 4. Instead, Tammi’s mother added 4 to her age and then doubled that number. Tammi’s mother thought the special number was 80. What was the special number supposed to be?
Answer:
40
her age was 36 she added 4nwhich made 40 then doubles makesn80
9514 1404 393
Answer:
76
Step-by-step explanation:
For age 'a', the special number was supposed to be ...
2a +4
Tammi's mother actually calculated it as ...
2(a +4) = 2a +8
a value that is (2a+8) -(2a+4) = 4 more than it was supposed to be.
The special number was supposed to be 80 -4 = 76.
Andre and Elena are reading the same book over the
summer. Andre says he has read of the book.
Elena says she has read 20 more pages than Andre. If
Elena is on page 55, how many pages are in the book?
Lin has drawn a diagram to solve this question.
Find her error. Then explain her mistake. Use the
sketch tools to help.
Reduce to simplest form.
-7/12 +3/8
Answer:
-5/24
Step-by-step explanation:
here u gooo :).....
please help me! here’s a picture
Answer:
I would think the answer is 28?
im not really that sure
Put your answers in the green
boxes.
Answer:
1. 2m^2-2n^2
Step-by-step explanation:
1. (m-n)(m^2+mn+n^2)
m^2=m
n^2=n
=(m-n)(m+mn+n)=(m-n)(2m2n)
Multiple
=2m^2-2n^2
Samantha plays a game in which she rolls two standard dice and finds the sum of the dots facing up. Which shows all the possible outcomes for each roll of the dice?
Answer:
Kindly check attached picture
Step-by-step explanation:
A standard dice has 6 faces numbered {1,2,3,4,5,6}
For 2 dice, n = 2 ; sample space = n² = 6² = 36
The sum of the 2 upward facing dots:
{(1,1) (1,2) (1,3) (1,4) (1,5) (1,6);
(2,1 ) (2,2),(2,3),(2,4),(2,5),(2,6) ;
(3,1)(3,2)(3,3)(3,4)(3,5)(3,6);
(4,1)(4,2)(4,3) (4,4)(4,5)(4,6);
(5,1)(5,2)(5,3)(5,4)(5,5)(5,6);
(6,1)(6,2)(6,3)(6,4)(6,5)(6,6)}
What is the slope of the line that passes through (4, 12) and (5, 16)?
Answer:
8/10
Step-by-step explanation:
The rise on the y axis is eight and the run on the x axis is 10
(Hope this helped)
Answer ASAP this practice is due tomorrow
Answer:
i think it's Z = 8,4
I'm not sure
PLEASEE HELP!!! LOTS OF POINTS ARE ON THE LINE
Which point is located in Quadrant II?
A coordinate plane.
(–4, 5)
(–4, –5)
(4, –5)
(4, 5)
Answer:
(-4,5) is located on the 2nd quadrant
Answer:
(-4, 5)
Step-by-step explanation:
Quadrant II is at the top left. So, point (-4, 5) is located in Quadrant II.
please solve these problems
Answer:
1/3x - 2y - 5x + 8
Step-by-step explanation:
Given:
1/3x - 2y - 5x + 8
1. There are four (4) terms in the expression: 1/3x, -2y, -5x, 8
2. Like terms are terms which have the same thing in common such as 1/3x, -5x in the expression
3. A constant is a term without a variable. 8 is the constant in the expression
4. The variables in the expression are: x and y
5. The coefficients are; 1/3, -2, and -5
Paula can spend no more than $500 for a photographer to take specialty photos for the dinner. Aerial photos from a drone cost $25 each, and wide-angle photos costs $50 each. Suppose the photographer takes 11 aerial photos. What is the maximum number of wide-angle photos that Paula can afford?
Answer:
4
Step-by-step explanation:
because 25×11= 275 and 500-275 =225
50x4=200
225-200=25 you can buy 4 and 25$ is left over
What should be subtracted from -8xy + 2x^2 + 3y^2 to get x^2 + 2
Answer:
x^2 - 8xy + 3y^2 - 2
Step-by-step explanation:
(-8xy + 2x^2 + 3y^2) - unknown = x^2 + 2
- unknown = x^2 + 2 + 8xy - 2x^2 - 3y^2
- unknown = -x^2 + 8xy - 3y^2 + 2
Unknown = x^2 - 8xy + 3y^2 - 2
Check:
(-8xy + 2x^2 + 3y^2) - (x^2 - 8xy + 3y^2 - 2)
= -8xy + 2x^2 + 3y^2 - x^2 + 8xy - 3y^2 + 2
= -8xy + 8xy + 2x^2 - x^2 + 3y^2 - 3y^2 + 2
= x^2 + 2
The areas of similar triangles ΔABC and ΔDEF are equal. If the longest side of ΔDEF measures 25 units, what is the length of the longest side of ΔABC?
A.
5 units
B.
25 units
C.
75 units
D.
50 units
Answer:
It is 25 units
Step-by-step explanation:
The triangles are equal
Answer:
25 Units.
Step-by-step explanation:
The Triangles are equal and have the same area. Therefore, the longest side of ΔDEF and ΔABC will measure the same.