1/x+2=2/x-1 identify all values of X that make the equation true
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Answer:
as written: x = 1/3
as maybe intended: x = -5
Step-by-step explanation:
As written
(1/x) +2 = (2/x) -1
3 = 1/x . . . . . . . . . add 1-(1/x)
x = 1/3
__
As maybe intended
1/(x +2) = 2/(x -1)
x -1 = 2(x +2) . . . . . . . multiply by (x+2)(x-1)
x -1 = 2x +4 . . . . . . . . eliminate parentheses
-5 = x . . . . . . . . . . . . . subtract (x+4)
Solve each system using substitution or elimination. Show all required work. -10x^2+80x+y=155 5x^2-40x+y=-85
Answer:
[tex]x = 4[/tex]
[tex]y = -5[/tex]
Step-by-step explanation:
Given
[tex]-10x^2+80x+y=155[/tex]
[tex]5x^2-40x+y=-85[/tex]
Required
Solve by substitution
Make y the subject in [tex]5x^2-40x+y=-85[/tex]
[tex]5x^2-40x+y=-85[/tex]
[tex]y = -5x^2 + 40x - 85[/tex]
Substitute [tex]y = -5x^2 + 40x - 85[/tex] in the first equation
[tex]-10x^2+80x+y=155[/tex]
[tex]-10x^2 + 80x -5x^2 + 40x - 85 = 155[/tex]
Collect Like Terms
[tex]-5x^2-10x^2 + 80x + 40x - 85 - 155=0[/tex]
[tex]-15x^2 + 120x-240=0[/tex]
Divide through by -15
[tex]x^2 -8x + 16 = 0[/tex]
[tex]x^2 - 4x - 4x + 16 = 0[/tex]
[tex]x(x - 4) - 4(x - 4) = 0[/tex]
[tex](x - 4)(x - 4) = 0[/tex]
[tex]x - 4\ = 0[/tex] or [tex]x - 4\ = 0[/tex]
[tex]x = 4[/tex] or [tex]x = 4[/tex]
[tex]x = 4[/tex]
Substitute 4 for x in [tex]y = -5x^2 + 40x - 85[/tex]
[tex]y = -5(4)^2 + 40 * 4 - 85[/tex]
[tex]y = -5*16 + 40 * 4 - 85[/tex]
[tex]y = -80 + 160 - 85[/tex]
[tex]y = -5[/tex]
I need help thank you.
Answer:
x ≤ 1
Step-by-step explanation:
The graph goes in the left direction, meaning the inequality needs to be less than.
The point is at the point positive 1 and has a shaded dot, meaning the inequality needs to be less than or equal to 1.
Answer:
B
Step-by-step explanation:
x ≤ 1
As thee circle at 1 is filled,you have to include 1 also
5. Which expression is equivalent to x2 - 17 x - 60?
The temperature is 8° Fahrenheit. If the weatherman predicts the
temperature will drop 12° within the next eight hours, what will the
temperature be?
Answer:
-4 degrees Farenheit
Step-by-step explanation:
8-12=-4
D(n) = \dfrac{5}{16} \left(2\right)^{n - 1}d(n)= 16 5 (2) n−1 d, left parenthesis, n, right parenthesis, equals, start fraction, 5, divided by, 16, end fraction, left parenthesis, 2, right parenthesis, start superscript, n, minus, 1, end superscript What is the 5^\text{th}5 th 5, start superscript, start text, t, h, end text, end superscript term in the sequence?
Answer:
d(5) = 5
Step-by-step explanation:
The nth term is given by :
[tex]d(n)=\dfrac{5}{16}\times 2^{n-1}[/tex] ...(1)
We need to find the 5th term of the above sequence. For this, put n = 5 in the above formula.
[tex]d(5)=\dfrac{5}{16}\times 2^{5-1}\\\\=\dfrac{5}{16}\times 2^4\\\\=\dfrac{5}{16}\times 16\\\\=5[/tex]
So, the 5th term in the above sequence is 5.
Answer:
5
Step-by-step explanation
A toddler section of a pool mesures 7 feet by 8 feet. What is area of the toddler section
Answer:
56 ft^2
Step-by-step explanation:
Which function passes through the points (2, 15) and (3, 26)?
A.
y = 11x + 7
B.
y = 11x − 7
C.
y = 7x + 11
D.
y = -11x − 7
E.
y = 7x − 11
Answer:
its b
Step-by-step explanation:
i need points sorry
Complete the proof that AFGH isn't similar to AJIH.
pls help meeeeeeeeee
Find the slope of the line.
-1
3
-10
-11
12
4
3
2 0 1
9 10
The slope is
Turn
-1
Step-by-step explanation:
because looking at the graph it is negative, and it goes down one over one
I need to know this ASAP please! What is 2/3x + 1/3x?
Answer:
x
Step-by-step explanation:
2/3x+1/3x=x
Answer:
1
Step-by-step explanation:
2/3x + 1/3x
2+1/3x
3/3x
=x
one x value is 1
The side lengths of triangle ABC are 3, 4, and 5. Which set of ordered pairs form a triangle that is congruent to
triangle ABC?
(-3,1),(-3,5),(0,5)
(1,-2),(1,3),(4,3)
(6,-3),(1,-3),(6,1)
(1,3),(1,4),(5,1)
Answer:
Im pretty sure the answer is C because there is a side that is 3, a side that is 4, and a side that is 5
Step-by-step explanation:
Answer:
The answer is A or (-3,1),(-3,5),(0,5)
Step-by-step explanation:
I guessed on E d g e (2021) and got it right :)
-18 > -2(2x + 9) - 4+x
Answer:
x>-4/3 last answer i got i hope it is helpful have a nice day
What is the rate of change of the following equation? y = -5/3x
Answer: -5/3
Step-by-step explanation:
In an equation y = mx + b, m is the value of the slope. The slope is the same as the rate of change. In this case, m = -5/3, thus the rate of change is -5/3.
its all in the picture
Answer:
6
Step-by-step explanation:
..............................
Answer:
f(- 3) = 6
Step-by-step explanation:
f(- 3) means what is the value of f(x) when x = - 3
Locate x = - 3 on the x- axis
Then go vertically up to meet the graph at (- 3, 6 )
The value of f(- 3) is therefore 6, that is
f(- 3) = 6
Can someone pleaseeeeeeeeeee solve these for me
Answer:
16. (See the attachment)
Step-by-step explanation:
None
Plz answer this!⬇️⬇️⬇️⬇️⬇️⬇️⬇️⬇️⬇️
Answer:
1/2 ÷ 3/10
1/2×10/3
5/3
1 2/3
1) option is correct
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Answer:
1) 1 2/3
Step-by-step explanation:
The model of choice 1 shows that 3/10 goes into 1/2 one and two-thirds times. That also happens to be the only model with the correct result.
1/2 ÷ 3/10 = 5/10 ÷ 3/10 = 5/3 = 1 2/3
40 plus 40 minus 20 times 0 plus 3 plus 125 equals what
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Answer:
208
Step-by-step explanation:
The order of operations requires that the multiplication be done before addition or subtraction.
40 + 40 - 20×0 + 3 + 125
= 40 + 40 - 0 + 3 + 125
= 80 - 0 + 3 + 125
= 80 + 3 + 125
= 83 + 125
= 208
__
The calculator shown in the attachment can be relied upon to perform calculations according to the order of operations. (It adds parentheses to show the order in which it is doing the calculation.)
Answer:
208
40 plus 40 minus 20 times 0 plus 125 in written form:
40 + 40 - 20 × 0 + 3 + 125
In order to get our answer 208, we must do it step by step:
First, we need to put 40 plus 40 into an equation:
40 + 40 = 80
Now that we have 80, we need to find 20 times 0:
20 x 0 = 0
Since 20 times 0 equals 0, we can now add 80 plus 3:
80 + 3 = 83
Now what we have left is to add 83 plus 125 which will give us our answer:
83 + 125 = 208!
The answer will be 208.
Hope this helps!
~Hocus Pocus
EMERGENCY, EMERGENCY, I WILL GIVE BRAINLIEST
[tex]\frac{1}{4} (2x^{2}-12) = 15[/tex]
Solve for x, do ur steps!!!!!!
How to do this question -14=k-4
Answer: hope this helps .
Step-by-step explanation:
Ruby’s homework covers multiplication with the powers of 10 the first question on her homework is 82.6 x 10 to the power of 2 what is the value of expression?
Answer:
826
Step-by-step explanation:
82.6 x 10 to the power of 2 :
8.26 * 10^2
8.26 * (10 * 10)
8.26 * (100)
= 826
Solve the system of linear equations by graphing.
y=-42 +3
40 - 2y = 6
Answer:
its a i did it on egn
Step-by-step explanation:
The equation 4 = p(l+r) can be used to calculate compound interest on a savings account. A = future balance
p= current balance, r= rate of interest, and t= time in years. If you deposit $2,000 at 10% each year, how much
money will be in your account in 10 years? (Round to the nearest dollar.)
A 2200
B. 4000
C. 4318
D. 5,187
Please help me! Thank you so much!
Answer: It's (A) 12<X
Step-by-step explanation: I chose that one because the line highlighted on the number line, it's bigger than 12!
What value of x makes the equation true?
3(4x-5)-4x+1=-6
Please show work
Answer:
x = 1
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightEquality Properties
Step-by-step explanation:
Step 1: Define Equation
3(4x - 5) - 4x + 1 = -6
Step 2: Solve for x
Distribute 3: 12x - 15 - 4x + 1 = -6Combine like terms: 8x - 14 = -6Isolate x term: 8x = 8Isolate x: x = 1Step 3: Check
Plug in x into the original equation to verify it's a solution.
Substitute in x: 3(4(1) - 5) - 4(1) + 1 = -6Multiply: 3(4 - 5) - 4 + 1 = -6Subtract: 3(-1) - 4 + 1 = -6Multiply: -3 - 4 + 1 = -6Subtract: -7 + 1 = -6Add: -6 = -6Here we see that -6 does indeed equal -6.
∴ x = 1 is the solution to the equation.
simplify the expression 3 √ 2 - 5 √ 18
what is the answer to the question?
Answer:
120°
Step-by-step explanation:
m<ABD+m<DBC=m<ABC
61°+59°=120°
hope this helped!
Answer:
We conclude that the value of m∠ABC = 120°
Step-by-step explanation:
Given
m∠ABD = 61°
m ∠DBC = 59°
To Determine
m∠ABC = ?
It is clear that the value of m∠ABC can be determined by adding m∠ABD and m∠DBC because m∠ABC the segment BD divides the angle m∠ABC into two adjacent angles m∠ABD and ∠DBC.
Therefore,
m∠ABC = m∠ABD + m∠DBC
= 61° + 59° ∵ m∠ABD = 61°, m ∠DBC = 59°
= 120°
Therefore, we conclude that the value of m∠ABC = 120°
Would a graph with a slope of 0 and a y intercept of 4 be proportional or not proportional?
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Answer:
not proportional
Step-by-step explanation:
If the y-intercept is not zero, the graph does NOT show a proportional relationship. A y-intercept of 4 means the relation is not proportional.
Select the correct answer.
What is the standard form of this complex number?
3i + ( + 2i ) – (3 + 3i)
Answer:
[tex]\huge\boxed{A.\ -\dfrac{9}{4}+2i}[/tex]
Step-by-step explanation:
The standard form of a complex number:
[tex]z=a+bi\\\\a,\ b\in\mathbb{R}[/tex]
[tex]3i+\left(\dfrac{3}{4}+2i\right)-(3+3i)=3i+\dfrac{3}{4}+2i-3-3i\\\\=\left(\dfrac{3}{4}-3\right)+(3+2-3)i=-2\dfrac{1}{4}+2i=-\dfrac{9}{4}+2i[/tex]