The answer 6x - 2y = 5
Step-by-step explanation:
The general formula of linear equations is y = mx + c
where m is the slope
so when we put this in the general form, it will be
-2y = -6x + 5
y = 3x - 5/2
and so the slope is 3
Where is the error in the solution below? Explain what the error is and solve the equation correctly. Be sure to check your answer.
Answer:
The error in the question is that in the second line, both sides are not multiplied by x. This causes an imbalance in the equation.
Step-by-step explanation:
[tex]\frac{5}{x}= x-4[/tex]
Multiply both sides by x.
[tex]x(\frac{5}{x}) = x(x-4)[/tex]
[tex]5= x^{2} -4x[/tex]
Subtract 5 from the equations.
[tex]x^{2} -4x-5=0[/tex]
Factorise the equation (Quadratics)
[tex](x-5)(x+1)=0[/tex]
Null Factor Law
[tex]x=5[/tex] or [tex]x=-1[/tex]
Here, we have to go through the equation and correct it:
Starting equation: 5/x = x - 4
Multiply both sides by x:
x * (5/x) = x * (x - 4)
[tex]5 = x^2 - 4x[/tex]
Move all terms to one side to set up a quadratic equation:
[tex]x^2 - 4x - 5 = 0[/tex]
Now, we have a quadratic equation that needs to be solved.
We can solve this quadratic equation using factoring, completing the square, or the quadratic formula.
In this case, let's use factoring:
(x - 5)(x + 1) = 0
This gives you two possible solutions:
x - 5 = 0 --> x = 5
x + 1 = 0 --> x = -1
So, the correct solutions for the equation 5/x = x - 4 are x = 5 and x = -1. The error in your solution was in the step where you multiplied by x; you didn't distribute x properly to both terms on the right side of the equation.
This causes an imbalance in the equation.
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Someone help pleasee
Answer:
a: 7000
Step-by-step explanation:
5 year = 10, 6 months
700 x 10 = 7000
Can someone help me pls ASAP
Math geometry (10 points)
Each morning Tess chooses either a red ribbon or a blue ribbon at random to wear in her hair. What is the probability that Tess will choose a red ribbon on both Monday and Tuesday?
Answer:
1/4 chance
Step-by-step explanation:
First you need to find the probability of Tess choosing a red ribbon.
1/2
Then you need to multiply that probability by the reciprocal of 2, which is 1/2
1/2 x 1/2 = 1/4
Plessse help, thanks
The profitability, P, of a popular restaurant franchise can be modeled by the function P (t) = t4 – 9t3 + 24t2 – 20t, where t is the number of months since the restaurant opened. How many months after the franchise opens will it begin to show a profit?
5 months
3 months
2 months
1 month
Replace t with the months given as choices to see which one gives a positive value as an answer.
P(1) = 1^4-9(1)^3 + 24(1)^2-20(1) = -4
P(2) = 2^4-9(2)^3+24(2)^2-20(2) = 0
P(3) = 3^4 -9(3)^3+24(3)^2-20(3) = -6
P(5) = 5^4-9(5)^3+24(5)^2-20(5) = 0
P(6) = 6^4-9(6)^3+24(6)^2-20(6) = 96
It shows a profit in month 6 so it would start showing a profit in month 5.
The answer is 5 months
What is the length of MO?
Select the best answer from the choices provided.
A.4
B.5.656
C.8
D.11.314
Answer:
D
Step-by-step explanation:
8^2+8^2=128
Square root of 128 is about 11.313
What is the value of R? (Assume R > 0)
R/4=36/R
A)8
B)9
C)12
D) 20
The value of R is 12.
What are square roots?A value that yields the original number when multiplied by itself is known as the square root of a number. The square root is a backwards technique for figuring out a number. Thus, squares and square roots are connected ideas.
Given R/4 = 36/R
multiply both sides by R
R/4 x R = 36/R x R
R²/4 = 36
multiply both sides by 4
R²/4 x 4 = 36 x 4
R² = 144
so R = √144
R = 12
Hence R = 12 for given condition.
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How many cups of 15% juice
must be added to 10 cups of
20% juice so that the mixture is
17% juice?
Answer:
15 cupsStep-by-step explanation:
20% of juice has:
10*0.2 = 2 cups of extractIf x cups of juice added we'll have:
2 + x*0.15 = 0.17(10 + x)2 + 0.15x = 1.7 + 0.17x0.17x - 0.15x = 2 - 1.70.02x = 0.3x = 0.3/0.02x = 1512. Observe the pattern made by the figures. Can
you write a conjecture about the number of
triangles formed by connecting one vertex of
a polygon with n sides to each of the other
vertices? SEE EXAMPLE 2
A
Number
of Sides:
3
4
5
6
Conjectures are used to form opinions about a certain subject. The conjecture from the given figure is that:
The number of triangles that can be formed by an n-sided shape is n - 2.
Given that:
[tex]n \to[/tex] number of sides
From the attached figures, we have the following observation.
3 sides - 1 triangle4 sides - 2 triangles5 sides - 3 triangles6 sides - 4 trianglesIf this pattern continues, the number of triangles for an n-sided shape will be: n - 2
Hence, the conjecture is:
The number of triangles that can be formed by an n-sided shape is n - 2.
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Algebra
I need to work this out help me please
help plz ^^^^^^^^^^!!!!!!!
Answer:
refer pic
sorry for messy handwriting
hope it help u and i appreciate if you give brainliests, thanks
Please help me I’m struggling!
Collinear points lie on the same line. Find the value of k for which the following points are collinear: (k,3), (-3,2), (-1,1)
Answer:
Points lie on the same line if and only if the points are collinear
Step-by-step explanation:
Change the mixed form into improper fraction.
[tex]3 \times \frac{3}{8} = [/tex]
If (x,2) is a solution to the equation -2x+4y=-8, what is the value of x
Answer:
x=8
Step-by-step explanation:
-2x+4y=-8
Let y = 2
-2x+4*2=-8
-2x+8=-8
Subtract 8 from each side
-2x+8-8=-8-8
-2x=-16
Divide by -2
-2x/-2 = -16/-2
x = 8
Find the sum of 8a –2b + 3c and –3a +4b –3c
Answer: 5a + 2b
Step-by-step explanation:
Given
(8a - 2b + 3c) + (-3a + 4b - 3c)
Expand parentheses
=8a - 2b + 3c - 3a + 4b - 3c
Put like terms together
=(8a - 3a) + (4b - 2b) + (3c - 3c)
Combine like terms
=5a + 2b + 0
=[tex]\boxed{5a+2b}[/tex]
Hope this helps!! :)
Please let me know if you have any questions
What is the ratio 1.6 kg: 120g lowest term?
Answer:
40:3
Step-by-step explanation:
1.6kg:120g
1600g:120g
1600:120
160:12
80:6
40:3
What is the area of this trapezoid? Please find the correct answer and equation.
Answer:
Step-by-step explanation:
HELP FAST PLEASE
Colton has a bag that contains orange chews, lemon chews, and peach chews. He
performs an experiment. Colton randomly removes a chew from the bag, records the
result, and returns the chew to the bag. Colton performs the experiment 49 times.
The results are shown below:
A orange chew was selected 18 times.
A lemon chew was selected 6 times.
A peach chew was selected 25 times.
Based on these results, express the probability that the next chew Colton removes
from the bag will be orange or lemon as a decimal to the nearest hundredth.
Answer:
0.49
Step-by-step explanation:
just convert 24/49 into a decimal
h(x)=x^2-x-1; h(2a+7)
Answer:
2
Step-by-step explanation:
By how much does x power 2 - ax +5 exceeed 3x power 2 -5x=6 I hope this helps :)
Find an expression which represents the sum of (8x + 10y) and (-4. – 3y) in
simplest terms.
Answer:
Submit Answer
attempt 1 out of 2
I need help with 13
9514 1404 393
Answer:
g(x) = (x -3)² -6
Step-by-step explanation:
You know that a function f(x) is translated h units to the right when x is replaced by x-h.
g(x) = f(x-h) . . . . . translated h units right
You also know that a function f(x) is translated k units up when k is added to the function value.
g(x) = f(x) +k . . . . . translated k units up
__
Here, we want to translate f(x) 3 units right and 6 units down. Using the above relations, we will get ...
g(x) = f(x -3) -6
Using the given definition of f(x), this becomes ...
g(x) = (x -3)² -6
g=A/4
fous on a please
G = A/4
Solve for A by multiplying both sides by 4:
A = 4G
find the area of the shades figure
Answer:
14,142.858
Step-by-step explanation:
X-2y-2=0 in slope-intercept form
Answer:
y = x/2 - 1
Step-by-step explanation:
Just throw everything to the right till only y is on the left side
X-2y-2=0
- 2y =-x+2
2y = x - 2
y = x/2 - 1
Please solve all 6 questions and show work... I will mark you brainliest and rate you five stars
Answer:
17.
9x - 2 = 8x + 6 (opposite angles on the transversal)
9x - 8x = 6+2
x = 8
18.
-5 + 21x + 15x +5 = 180 (angles on the same side of transversal add up to 180)
36x = 180
x = 180/36
x = 5
19.
9x + 4 + 95 = 180 (angles on the same side of transversal add up to 180)
9x + 99 = 180
9x = 180-99
9x = 81
x = 81/9
x = 9
20.
16x - 2 = 110 (opposite angles on the transversal)
16x = 110 +2
16x = 112
x = 112/16
x = 7
21.
29x + 4 = 31x -4 (opposite angles on the transversal)
4 + 4 = 31x - 29x
2x = 8
x = 8/2
x= 4
22.
12x + 2 + 6x + 16 = 180(angles on the same side of transversal add up to 180)
18x +18 = 180
18x = 180-18
18x = 162
x = 162/18
x = 9
guys PLEASE help my brain is trying to fall asleep on me rn and its due
Step-by-step explanation:
perimeter=a+b+c
p=10.5+15+(-5(x+11))
p=25.5-5x-55
p,=-5x-29.5
Determine the values of X, Y and Z on the following number line:
HH
X -11 Y 9 Z
What is (x)
9.4x+17.5
Answer: x=1.8617
Step-by-step explanation: 9.4x+17.5 9.4x/9.4=17.5/9.4 x=1.8617
IT
17) Between which two consecutive whole numbers does the length of the diagonal
fall? The length of the diagonal is between
a) 3 and 4 b) 4 and 5
c) 5 and 6 d) 6 and 7
V 18
기
D
Ос
Od
Answer:
4 and 5, closer to 4
Step-by-step explanation:
hope that helps>3