Answer:
x = 100.
Step-by-step explanation:
y ∝ 1/√x
y = k /√x where k is a constant.
When x = 36 y = 5 so we have:
5 = k / √36
5 = k / 6
k = 30
So we have the relation:
y = 30 /√x
When y = 3
3 = 30/ √x
√x = 30/3 = 10
x= 100.
(2x-1) (x+3)
Expand
Answer:
2x^2+5x-3
Step-by-step explanation:
Step-by-step explanation:
If you like my answer than please mark me brainliest thanks
what equation is equal to 2x+3y=12
Answer:
y=-2/3x+4
Step-by-step explanation:
2x+3y=12 --- rewrite so it looks like y=mx+b
3y=-2x+12
y=-2/3x+4
Is the following acute obtuse or a right triangle
Answer: Obtuse
Would appreciate brainly <3
PLZ HELP DUE SOOOONNNN (solve for z).
Answer:
[tex]{\huge{\green{\mathsf{z\:=\sqrt{\frac{4x}{3y}}}}}[/tex]
Step-by-step explanation:
Given the algebraic equation, [tex]{\huge{\green{\mathsf{x\:=\frac{3yz^2}{4}}}}[/tex], and that we must solve for z :
The first step is to multiply both sides by 4 to eliminate the fraction on the right-hand side of the equation:
[tex]{\huge{\green{\mathsf{x\:=\frac{3yz^2}{4}}}}[/tex]
[tex]{\huge{\green{\mathsf{(4)\:x\:=\frac{3yz^2}{4}(4)}}}[/tex]
4x = 3yz²
Next, divide both sides by 3y:
[tex]{\huge{\green{\mathsf{\frac{4x}{3y}\:=\frac{3yz^2}{3y}}}}[/tex]
[tex]{\huge{\green{\mathsf{\frac{4x}{3y}\:=z^2}}}[/tex]
Lastly, take the square root of both sides to isolate the variable, z :
[tex]{\huge{\green{\mathsf{\sqrt{\frac{4x}{3y}}\:=\sqrt{z^2}}}}[/tex]
[tex]{\huge{\green{\mathsf{z\:=\sqrt{\frac{4x}{3y}}}}}[/tex]
Therefore, the equation for z is: [tex]{\huge{\green{\mathsf{z\:=\sqrt{\frac{4x}{3y}}}}}[/tex]
Please find attached photograph for your answer.
Hope it helps.
Do comment if you have any query.
can somebody please help me
Answer:
b
Step-by-step explanation:
X+y=2 x-y=4 solve using elimination
(3, -1) Looking at the two equations I see that you have a+ y in equation one and − y in equation two. By adding the two equations together I will eliminate the y variable and then you can solve for x.
Please help me with this question! It's a writing question.
Answer:
That he made a medicine that reduces coughing
Step-by-step explanation:
Carey creates the table below to help him determine 75% of 36.
75% of 36
25%
25%
25%
25%
One-fourth
One-fourth
One-fourth
One-fourth
9
9
9
9
He writes the expression (three-fourths) (27). Which change in Carey’s expression will lead him to the correct answer?
Answer:
27 is the answer
Step-by-step explanation:
36/.75=27
find the equation with a diameter that has endpoints located at (2,8) and (2,-4)
Answer:
32.4/-4.6 nearest circumfrence :)
Step-by-step explanation:
hope that was the method you we're trying to use if not please comment so I can redo it , :) have a great day !
help me with this math question pls
Answer:
length = 10 cm
Step-by-step explanation:
The volume (V) of a prism is calculated as
V = Al ( A is the cross sectional area and l is the length )
Here V = 125 and A = 12.5 , then
125 = 12.5 × l ( divide both sides by 12.5 )
10 = l
The length of the prism is 10 cm
Evaluate.
3.23
+52
- 18 ÷6 A.25 B.31 C.40 D.46
Answer:
d
Step-by-step explanation:
Which of the following represents the set of possible rational roots for the
polynomial shown below?
2x3 + 5x2 – 8x – 20 = 0
The plus/minus of the following: 1/2, 1, 2, 5/2, 4, 5, 10, 20
========================================================
Explanation:
Refer to the rational root theorem. To find the possible rational roots, we divide the factors of the last term 20 over the factors of the first coefficient 2.
Factors of 20 are: 1,2,4,5,10,20Factors of 2 are: 1,2Dividing those said factors leads us to the list in choice D. We include the positive and negative versions of each result. For example, divide 10 over 2 to get 10/2 = 5 as one possible root (which leads to -5 as well).
A table like the one shown below might be handy to keep track of all the terms.
Answer:
DStep-by-step explanation:
Simplify the given equation by dividing all terms by 2:
x³ + 2.5x² - 4x - 10 = 0x²(x + 2.5) - 4(x + 2.5) = 0(x + 2.5)(x² - 4) = 0(x + 2.5)(x + 2)(x -2) = 0Roots are:
- 2.5, -2, 2Correct choice is D
Help? Find the exact value.
Grogg draws triangle ABC. Side BC is 4 inches shorter than side AB. and side AC is 6 inches longer than side BC. The perimeter of the triangle is 31 inches. What is the length of side AB?
Answer:
AB = 11
Step-by-step explanation:
AB = x
BC = x - 4
AC = 6 + BC Substitute BC
AC = 6 + (x - 4)
AC = 2 + x
The perimeter of the triangle is 31
Perimeter = AB + BC + AC perimeter is the sum of the sides
31 = (x )+ (x - 4 ) + (2 + x)
31 = 3x - 2
33 = 3x
11 = x
AB = x = 11 inches
Check:
AB = x ; AB = 11
BC = x - 4; BC = 11 - 4; BC = 7
AC = 2 + x; AC = 2 + 11; AC = 13
P = 11 + 7 + 13
= 31
Graph the line with slope 1 passing through the point (2, 4). make an actual graph. help plis 21 point!
Answer:
y=x+2
Step-by-step explanation:
since the slope is 1, we have y=x +b. now plug in the point (2,4) to get 4=2+b, b=2, so the graph is y=x+2
help me with this problem thank youuup.
Step-by-step explanation:
it is a linear function, if the change in y is constant in relation to the changes of x.
in other words, if the slope y change/x change is the same for every point.
when we look at the table, we see x changes constantly by +2.
and y changes constantly by -6.
so, the change rate/slope is constantly -6/2 = -3.
and therefore it is a linear function.
the equation looks like (the slope is always the factor of x)
y = -3x + b
b we get by using one of the x,y pairs like 1,4
4 = -3×1 + b = -3 + b
b = 7
so, the full equation is
y = -3x + 7
Step-by-step explanation:
Given the table of values, {(-3, 16), (-1, 10), (1, 4), (3, -2), (5, -8)}:
We must determine whether the given relation or data can be modeled by a linear equation. It is necessary to analyze the pattern that exists between changes in y-values, along with the changes in x-values.
X-coordinates:Subtracting the x-coordinates provides a constant difference of 2:
Starting with the first two rows, given by the ordered pairs, (-3, 16) and (-1, 10): Subtract the two x-coordinates: -1 - (-3) = -1 + 3 = 2.For the second and third rows, given by the ordered pairs, (-1, 10) and (1, 4): Subtract the two x-coordinates: 1 - (-1) = 1 + 1 = 2.If you perform these same steps throught the remaining rows, then you'll get the same difference of 2.
Y-coordinates:We can perform the same steps for the y-coordinates. Subtracting the y-coordinates provides a constant difference of -6.
Starting with the first two rows, given by the ordered pairs, (-3, 16) and (-1, 10): Subtract the two y-coordinates: 10 - 16 = -6.For the second and third rows, given by the ordered pairs, (-1, 10) and (1, 4): Subtract the two y-coordinates: 4 - 10 = -6.If you perform these same steps throught the remaining rows, then you'll get the same difference of -6.
SlopeSince the constant change in y = -6, and the constant change in x = 2, then we can calculate for the slope as: Δy/Δx = -6/2 = - 3. Hence, the constant rate of change = -3.
As demonstrated throughout this post, we can infer that there is a linear pattern that exists between the x- and y-values.
Therefore, the data can be modeled by a linear equation because the rate of change is constant.
Linear Equation:In order to establish the linear equation that represents y as a function of x, we can use the slope, m = -3, and one of the given ordered pairs, (1, 4), to solve for the value of the y-intercept, b. Substitute these values into the slope-intercept form, y = mx + b:
y = mx + b
4 = (-3)1 + b
4 = -3 + b
Add 3 to both sides to isolate b:
4 + 3 = -3 + 3 + b
7 = b
Therefore, the linear equation that represents the given data is: y = -3x + 7.
50 points if you get this right
Answer:
"A plane does not extend infinitely"
Step-by-step explanation:
find the two numbers such that the sum of the two numbers is 24 and the product of the two nuumbers is 143
Answer:
119
Step-by-step explanation:
first you have to do 143-24 which is 119 and then just to double check you do 143-119 and you get 119
PLEASE HELP! 20 POINTS
What is the x-intercept of the line with this equation -2x+1/2y=18?
Enter your answer in the box
( ,0)
Answer:
x - intercept = - 9
Step-by-step explanation:
To find the x- intercept, let y = 0 in the equation and solve for x
- 2x + [tex]\frac{1}{2}[/tex] (0) = 18
- 2x + 0 = 18
- 2x = 18 ( divide both sides by - 2 )
x = - 9 or (- 9, 0 ) in coordinate form
Solve for x.
5 = 2x − 3
(✿◡‿◡)
Answer: x=4
Step-by-step explanation:
if x+y=5,and xy=10, find the value of x2+y2
Answer:
Step-by-step explanation:
x+y=10-----(1)
xy=5------(2)
dividing (1) by(2)... we get!
x/y+ y/x=10/5
=>2
we have :[tex]x^{2} +y^{2} = x^{2} +y^{2} + 2xy -2xy = (x+y)^{2} -2xy = 5^{2} -2.10 =25-20=5[/tex]
ok done. Thank to me :>
1/3 of 12= 2/3 of
how do I do this I've forgotten please help
Answer:
6 because 2/3 of 6 is 4 and 1/3 of 12 is also 4.
Step-by-step explanation:
NO LINKS NO FILES NEED HELP ASAP GET IT RIGHT YOU GET CROWN!!
Seriously no links or files
Answer: A = 27 units^2
Step-by-step explanation: If you cut the shaded region in half it's two rectangles so you have to find the area of it using the formula to find the area of a rectangle.
A = (w)(l) A = (3)(9) A = 27 units^2
Divide. Write the answer in simplest form.
2/5 divided by 3
Answer:
Step-by-step explanation:
0.13 repeating
$75 is shared between Amy and Mary in the ratio 2:3. Amy's share would be ?
amys share would be 45:30 so amys is 45 and marys 30
How would I go from 22 to 11 in my table?
Divide by 2.
Multiply by 2.
Multiply by 22.
Divide by 22.
WILL MARK BRAINLY
Answer: divide 2
Step-by-step explanation:
(a−2b)3 when a=−3 and b=−12
help plsss
(the three is an exponent)
Answer:
9261
Step-by-step explanation:
Substitute -3 for a and -12 for b in (a - 2b)^3:
(-3 - 2·-12)^3, or
(-3 + 24)^3, or
21^3 = 9261 (answer)
Can someone help me please
Step-by-step explanation:
it just means to convert these equations into function definitions.
and a function looks like
y = ... something with x, factors, other functions, constants
1)
x + y = z
y = -x + z or z - x
2)
x - y = z
x - z = y or y = x - z
3)
x × y = z
y = z/x
4)
x/y = z
x = z × y
x/z = y or y = x/z
Find the total surface area of these solids
Answer:
#a
This is a cube. Let us find the surface area of the cube now
Surface are of a cube = 6 a²
= 6 × 1.2 × 1.2
= 6 × 1.44
= 8.64 cm²
# b
This is a right trianglular prism.
First you have to find the area of the 2 triangles
Before that,
we have to find the height of the triangle using pythagoras theorem.
Let us solve,
[tex]5^{2} =4^{2} +h^{2} \\25=16+h^{2} \\9 =h^{2}\\\sqrt{9} =h\\3=h[/tex]
Now let us find the area of 2 triangles.
[tex]Area =2*\frac{1}{2} *4*3\\[/tex]
[tex]Area =12mm^{2}[/tex]
Now lets find the total area of 3 rectangles.
( 7 mm × 4 mm) + ( 7 mm × 5 mm) + ( 7 mm × 3 mm )
28 mm² + 35 mm² +21 mm²
= 84 mm²
And now lets find the total surface area of this solid.
12 mm² + 84 mm²
= 96 mm²
Hope this helps you.
Let me know if you have any other questions :-)
a sketch of y = x^2 + cx + d is shown the turning point is (2,3) work out the values of c and d
Answer:
c= - 4, d = 7Step-by-step explanation:
Given function:
y = x² + cx + dThe vertex is (2, 3)
We know the vertex form:
y = (x - h)² + k, where (h, k) is vertexSubstitute coordinates to get:
y = (x - 2)² + 3 = x² - 4x + 4 + 3 = x² - 4x + 7Compare with given to find out:
c = - 4, d = 7