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x=a+b+4 and a is inversely proportional to y²; b is inverseley propotional to 1/y. when y = 2 x = 18 and when y = 1 x = -3. find x when y = 4
Answer:
When y = 4, x is equal to 39
Step-by-step explanation:
The given parameters are;
x = a + b + 4
a ∝ 1/y²
b ∝ 1/(1/y) = y
When y = 2, x = 18
When y = 1, x = -3
Therefore, we have;
a·y² = j
a = j/y²
b ∝ 1/(1/y)
∴ b ∝ y
b = k·y
When y = 2, x = 18, we have;
a = j/y² = j/2² = j/4
b = k·y = k·2
x = a + b + 4
∴ 18 = j/4 + k·2 + 4...(1)
When y = 1, x = -3, we have;
a = j/y² = j/1² = j
b = k·y = k·1 = k
x = a + b + 4
∴ -3 = j + k + 4...(2)
Making 'j', the subject of equation (1) and (2) gives;
From equation (1), we have;
18 = j/4 + k·2 + 4
∴ j = (18 - 4 - k·2) × 4 = 56 - 8·k
From equation (2), we have;
-3 = j + k + 4
∴ j = -3 - 4 - k = -7 - k
Equating the two values of 'j', gives;
56 - 8·k = -7 - k
56 + 7 = 8·k - k
63 = 7·k
k = 63/7 = 9
k = 9
From equation (2), we get;
-3 = j + k + 4
k = 9
∴ -3 = j + 9 + 4
j = -3 - 9 - 4 = -16
j = -16
When y = 4, we get;
x = a + b + 4
a = j/y²
b = k·y
∴ x = j/y² + k·y + 4
Plugging in the values of 'j', and 'k' and y = 4, gives;
x = (-16)/y² + 9·y + 4
∴ x = (-16)/4² + 9 × 4 + 4 = 39
x = 39
Therefore;
When y = 4, x = 39.
Express 0.0584401 correct to three decimal places.
Answer: __________________________________ ( /1)
b) How many significant figures are there in your answer?
Answer: __________________________________ ( /1)
c) Estimate the value of the given expression to one significant figure.
Answer: __________________________________ ( /2)
d) Express 560 cm2 in km2.
Answer: __________________________________ ( /1)
2. a) Write the next two terms of the following sequence and write the rule. ( /3)
11, 15, 19, 23, 27, ______, ______
Rule: ___________________________________________________
b) Write an example of a Fibonacci sequence.
__________________________________________________________ plz no ans wrong or report
Answer:
A) 5.84
B) 3 significant figure
C)5.8
D)0.0056
2.A) 31 , 35
consider the expression
[tex]x4 - {y}^{2} [/tex]
when x = 3 and y = -6 , the value of the expression is *blank*
What is the perimeter of the parallelogram? 12 cm 6 cm 5 cm 7 cm
Answer:
12
Step-by-step explanation:
Tell me 5 things you have learned about scientific notation.... pls
Answer: 1) If the decimal is being moved to the right, the exponent is negative. 2) It’s it’s moved to the left, the exponent is positive.
Step-by-step explanation:
fnejfkenfejdb that’s all I know that is correct.
What is the solution to the equation below? Round your answer two decimal places. 3^x = 9.2
3x = 9.2 ⇒ x = 2.02000606
Answer:
X=2.02
Step-by-step explanation:
2 school bags cost $ 276 . Find the cost of 88 school bags
Answer:12144
Step-by-step explanation:
Answer : FROM THE TOP, MAKE IT DROP THAT'S A WET!!! THAT'S A WET #WAP!!!
The line L is shown on the grid.
Find an equation for L.
Give your answer in the form y=mx+c
Answer:
y = -5x - 5
Step-by-step explanation:
Given the standard form of an equation as y=mx+c
m is the slope
c is the intercept
Using the coordinate points
(1, 0) and (0,-5)
m = -5-0/0+1
m = -5/1
m = -5
Get the intercept
Intercept is the point where thee line cuts the y axis. intercept is -5
Get the equation:
Recall that y = mx+c
y = -5x + -5
y = -5x - 5
This gives the required equation
Can anyone please help with this?
Answer:
see explanation
Step-by-step explanation:
Find AC
AC = AD + DC = 3y + 4x
(i)
AE = [tex]\frac{1}{2}[/tex] AC = [tex]\frac{1}{2}[/tex](3y + 4x) = [tex]\frac{3}{2}[/tex] y + 2x
(ii)
CB = - AD = - 3y
For what value of q is the equation -13(q + 4) = 7q + 16
Answer:
Q = -3.4
Step-by-step explanation:
Our original equation is: -13(q+4)=7q+16
if we simplify this, we get: -13q-52=7q+16
Subtract 16 from both sides: -13q-68=7q
Add 13q to both sides to get: -68=20q
divide the equation to get this: -3.4=q
Please find X in this triangle.
Answer:
4
Step-by-step explanation:
in a 30,60,90 triangle the hypotenuse(x) is always double the base (2)
Answer:
4
Step-by-step explanation:
sin(30 degrees) = 1/2
x = 2/sin(30 degrees) = 4
HELPPPPPPPPPPPPPPPPPPPPPPPPPPPPPP
Answer:
Just multiply
Step-by-step explanation:
Charlie drove 360 miles in 5 hours.
At the same rate, how many miles would he drive in 8 hours?
Step-by-step explanation:
5 360
8 x
5x=360•8
x=576miles
Water freezes at 0 degrees Celsius. A student discovered that adding half a cup of salt to a gallon of water lowers its freezing temperature by 7 degrees Celsius. What is the freezing temperature of the gallon of salt water?
Answer:
-7°C
Step-by-step explanation:
Freezing point of water = 0°C
By adding salt, freezing point lowers by 7°C ;
The freezing point of salt water can be expressed as ;
Since temperature lowers :
Freezing point of salt water :
Freezing point of water - 7°C
0°C - 7°C
= - 7°C
Need help quick Picture provided
Someone help and please make sure it’s right :)
Answer:
15x+8=180-97 , solve for x and u shall get the answer
Answer:5
Step-by-step explanation:
Since 97 and the other angle together make a straight line, you can find the angle by doing 180-97 which is 83. Then you 15x+8=83. 15x=75. x=5.
Subtract: (b^2 + 9 ab + 5a ) - ( 3b^2 -25ab + 1)
Answer:
- 2b^2 + 34ab + 5a - 1
Step-by-step explanation:
here's your solution
=> (b^2 + 9ab + 5a) - (3b^2 - 25ab + 1)
=> b^2 + 9ab + 5a - 3b^2 + 25ab - 1
=> - 2b^2 + 34ab + 5a - 1
hope it helps
a square tablecloth is 160cm along each side. it hangs over the table edge 30cm on each side.
a) what is the area of the tablecloth?
b) what is the area of the table?
What is the simplified algebraic expression?
4x – 5
–8x – 5
–8x + 10
–8x – 10
help meeee i will give brainliest :)
Step-by-step explanation:
(-7+1)/(5-1)=-6/4= -3/2 is the slope
answer is C
Answer:
C
Step-by-step explanation:
The formula for slope is rise/run
Rise is the difference between the y coordinates
Run is the difference between the x coordinates
To find the rise and run:
ex.
(a, b), (c, d)
rise:
d-b
run:
c-a
Slope:
d-b/c-a
In this situation:
rise:
-7-(-1)
run:
5-1
Slope:
-7-(-1)/5-1
= -6/4
=-3/2
So the answer is C
are these triangles congruent ?
Answer:
SAS congruence criteria
Step-by-step explanation:
There are two sets of congruent sides and an included verticle angle, so they are congruent
5 4/5 +4 3/8 = what ??///
Answer:
10 7/40
Step-by-step explanation:
5 4/5 + 4 3/8
4/5 = 32/40
3/8 = 15/40
5 32/40 + 4 15/40 = 9 47/40 = 9 + 1 7/40 = 10 7/40
Answer:
6 7/40
Step-by-step explanation:
That’s the answer and I’m sure cuz I did the math, also have a good night!
-6n-2n=16
This isn't urgent
Answer:
n = -2
Step-by-step explanation:
[tex] - 6n - 2n = 16[/tex]
➡️ [tex]( - 6 - 2)n = - 8n[/tex]
➡️ [tex] - 8n \div ( - 8) = 16 \div ( - 8)[/tex]
➡️ [tex]n = 16 \div ( - 8)[/tex]
➡️ [tex]n = - 16 \div 8[/tex]
➡️ [tex]n = - 2[/tex]
I need a lot of help please answer right !
Answer:
$16
Step-by-step explanation:
Answer:
Estimate: $16
Exact amount: $15.98
Step-by-step explanation:
To find the estimate amount of money she has left, we will add everything up and subtract it from $45.12.
$7.89 + $21.25 = $29.14
$45.12 - $29.14 = 15.98
Now lets round your answer to $16. Therefore, the estimated amount that she has left is $16. And based on the calculations above, we can see that the exact amount of money she has left is $15.98.
a square has a side length of (x-7) a what is the area?
Answer:
4x+28
Step-by-step explanation:
What is the size of ABC?
could someone plz help me on this :,)
Answer:
C if its a parallelogram than opposite sides are parallel
please help I dont understand
Answer:
Step-by-step explanation:
Remark
All you need is 2 points that you can rely on as being accurate.
(2,0) should certainly be one of them. I would pick (-1,3) as the other but it is less certain.
Givens
y2 =3
y1 = 0
x2 = -1
x1 = - 2
Formula
m = (y2 - y1)/(x2 - x1)
Solution
m = (3 - 0) / (-1 - - 2)
m = (3 )/ (-1 + 2)
m = 3/1
m = 3
whats the scale factor
Answer:
2 1/12
Hope that helps!
Step-by-step explanation:
Answer:
2.5
Step-by-step explanation:
In a flower garden, there are 6 tulips for every 7 daisies. If there are 54 tulips, how many daisies are there? A. 69
B. 65
C. 61
D. 63
Answer:
D
Step-by-step explanation:
Answer:
61
Step-by-step explanation:
54+ 7 = 61 yuhhhhh