The statement that is true is completing the solution for the equation is the same as completing the solution for the inequality. The student would divide both sides by -2 in either case. Option A
How to determine the statementFrom the information given, we have that;
The linear equation is ;
-2x + 3 = 6
Let's solve for x
First, collect like terms
-2x = 6 - 3
-2x = 3
Divide both sides by - 2
x = 3/ -2
The linear inequality is;
-2x + 3 < 6
collect like terms
-2x < 6 - 3
Make 'x' the subject by dividing both sides by -2
-2x/ -2 = 3/ -2
x = 3/ -2
We can see that the linear equation and the linear inequality have the same solution and steps.
Thus, the statement that is true is completing the solution for the equation is the same as completing the solution for the inequality. The student would divide both sides by -2 in either case. Option A
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The number line represents −412+314.
What is the sum?
Answer:
-98
Step-by-step explanation:
-412 + 314 = 314 -412
= -98
Tip:
Write the opposite symbol in the equation, then in the answer, write the opposite symbol
Just do 412 - 314
which is 98
opposite of 98 is -98
Answer is -98
dark city had a population of 350,000 in 1990, and has increased exponentially since then, to 475,000 in 2008. project the population in 2015.
The population of the dark city in 2015 will be 449,245.
What is an exponent?Let a be the initial value and x be the power of the exponent function and b be the increasing factor.
The exponent is given as
y = a(b)ˣ
The dark city had a population of 350,000 in 1990 and has increased exponentially since then, to 475,000 in 2008. Then the equation will be
350,000 = a(b) ...1
475,000 = a(b)¹⁸ ...2
From equations 1 and 2, then we have
475,000 / 350,000 = b¹⁷
b = 1.018
Then the value of the variable a will be
350,000 = 1.018a
a = 343768.87
Then the equation will be
y = 343,768.87 (1.018)ˣ
The population in 2015 will be
y = 343,768.87 (1.018)¹⁵
y = 343,768.87 x 1.3068
y = 449,245
The population of the dark city in 2015 will be 449,245.
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What is the solution set of the equation
3X=-6/1-X
for x # 1?
The solution set of the equation 3X=-6/1-X for x # 1 is {-2,1)
3x = -6/(1-x)
3x(1-x) = -6
3x – 3x2 = -6
Taking 3 as common from both sides
x –x2 = -2
x2 – x +2 =0
Using factorisation method we will get two factors
Factoring quadratics is a method of expressing the quadratic equation ax2 + bx + c = 0 as a product of its linear factors as (x - k)(x - h), where h, k are the roots of the quadratic equation ax2 + bx + c = 0. This method is also is called the method of factorization of quadratic equations. Factorization of quadratic equations can be done using different methods such as splitting the middle term, using the quadratic formula, completing the squares, etc.
( x – 2)(x+1)=0
So, x = 2 , -1
Now, when x ≠ 1
The solution of the equation will vary from {-2,1) .
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Under her cell phone plan, Hawa pays a flat cost of $51.50 per month and $3 per gigabyte. She wants to keep her bill at $64.10 per month. Write and solve an equation which can be used to determine gg, the number of gigabytes of data Hawa can use while staying within her budget.
If Hawa pays a flat cost of $51.50 per month and $3 per gigabyte and she wants to keep her bill at $64.10 per month. then the equation which can be used to determine gigabyte is 51.50+3x=64.10 and the number of gigabytes of data Hawa can be used is 4.2 gigabytes
Given,
The flat cost = $51.50 per month
The cost per gigabyte = $3
She wants to keep her bill = $64.10
Consider the number of gigabytes used as x
Then the equation is
51.50+3x=64.10
3x=12.6
x=4.2
Hence, if Hawa pays a flat cost of $51.50 per month and $3 per gigabyte and she wants to keep her bill at $64.10 per month. then the equation which can be used to determine gigabyte is 51.50+3x=64.10 and the number of gigabytes of data Hawa can be used is 4.2 gigabytes.
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Which of the following sentences is true? Use the number line to help you decide.
6.0 - 7.0
O 6.4 is greater than 6.6.
O 6.3 is less than 6.0.
O 6.4 is less than 6.2.
O 6.8 is greater than 6.6.
Answer: this may not be correct but I think that the answer is 6.8 being greater than 6.6 since it is more closer to 7.0.
Step-by-step explanation:
PUNTOS Write the equation of the line parallel to y = -1/3x + 4 and passing through the point (-6, -9). Be sure to write your answer in slope-intercept form(y=mx+b)
The slope intercept of the line is y = -1/3x -11
Slope-intercept is one of the special forms of line equation
The slope intercept of a line can be found by solving the slope-intercept equation of a line which is parallel to that line.
Slope-intercept equation is
y = mx + b
where m is the slope and b is the intercept.
The slope-intercept equation of the parallel line is
y = -1/3x + 4
The slope will be the same for both lines as they were parallel to each other.
Thus m = -1/3
The point in which the line passes is given as (-6,-9)
So with these data, We can find the intercept of the line
y = mx + b
where m = -1/3 and (x,y) is (-6,-9),Thus
-9 = -1/3(-6) +b
-9 = 6/3 +b
-9 = 2 + b
b = -9-2
b = -11
Thus the intercept of the line passing through the point (-6,-9) is -11
Thus, the slope-intercept equation of the line we need to find is
y = -1/3x -11
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Find the area of the triangle
Answer:
Step-by-step explanation: lengthxwidth
Simplify this expression.
9y + 3 - 4y + x +9
Answer: 5y + x + 12
Step-by-step explanation:
9y + 3 - 4y + x + 9
Group together 9y and -4y
5y + 3 + x +9
Group together 3 + 9
5y + 12 + x
Reorder the expression.
5y + x + 12
Need the answer asap
Pls answer it correctly
Answer:
I will be your human calculator! top to bottom!
1. (+1) 5. (+28) 9. (+8)
2. (+4) 6. (+3) 10. (-5)
3. (+14) 7. (+24) 11. (+6)
4. (-3) 8. (-3) 12. (+1)! Good Luck!
What is the value of the expression -2/7 - 4/7
Answer: -6/7
Step-by-step explanation: combine like terms.
Same signs; add, different signs; subtract.
Write the terminology for the power of a factored expression of a polynomial
function.
Answer:
a power function is a function with a single term that is the prudoct of a real number
The african bush elephant weights about 4.4 tons and 7.7 tons what are if least and greatest sight rounded to the nearest ton
The least ton is 4 ton and the greatest ton is 8 ton.
Given an approximation for the weight of African bush elephant.
If we take x as the weight of an African Bush elephant, then
4.4 < x < 7.7.
We are asked to find the least and greatest weights rounded to the nearest ton.
The least weight is 4.4. But when rounded to the nearest ton, we can consider the least weight at 4 tons.
Likewise, the greatest weight is 7.7 tons.
But the greatest weight rounded to the nearest ton = 8 tons
We rounded 4.4 to 4 because the decimal digit 4 is less than 5.
Also we rounded 7.7 to 8 because the decimal digit 7 is greater than 5.
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A cereal box manufacturer changes the size of the box to increase the amount of cereal it contains. The expressions 16 + 6.6n and 14 + 7.1n, where n is the number of
box? smaller boxes, are both representative of the amount of cereal that the new larger box contains. How many smaller boxes equal the same amount of cereal in the larger
The larger box of cereal has as
(Type a whole number.)
boxes
Answer:
The answer should be 10.5 from what i have seen in the past
Step-by-step explanation:
Question in photo. Too lazy to solve lol (I might mark u as brainliest if u answer)
Answer:
The first, third, and fourth.
Step-by-step explanation:
Those answers involve scaling the measurement up, which requires a positive power of 10. For scaling down, you'll need a negative power of 10, e.g., 2x10^-2=0.02.
use the space provided to create a list of important talent, skills and competencies a person will need to fill the position on (business functions on ) purchasing
There is space to identify the important talents, abilities, and competencies a person will need because every company aims to attain financial stability by streamlining its operations using resources.
A stable economy is what?Every firm strives to achieve financial stability by streamlining its operations with resources, thus there is room available to identify the critical talents, abilities, and competencies a person will require.
What is financial stability?"A state in which the financial system is not unstable" is the definition of financial stability. It may also refer to a state of stability among the three elements of the financial system, namely the infrastructure, markets, and institutions.The phrase "stability of financial institutions" refers to the degree to which each financial institution is sound enough to effectively perform the function of financial intermediation.Due to the advancement of financial deregulation, many nations around the world have experienced the benefits of rapid financial industry growth since the 1980s.
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not even an actual assignment question, just wanted to ask, how are you?
Answer:
Im sleepy. How are you?
Answer:
oh thx im good how are you
Step-by-step explanation:
Write the polynomial -10xy5 + 2x³y² - 6x²y² in standard form.
Draw a line representing the "rise" and a line representing the "run" of the line. State the slope of the line in simplest form.
Answer:
Step-by-step explanation:
"rise" is 10 units
"run" is 6 units
m = [tex]\frac{rise}{run}[/tex] = [tex]\frac{10}{6}[/tex] = [tex]\frac{5}{3}[/tex]
m = [tex]\frac{5}{3}[/tex]
5x+y
when x=6 and y=-2
Answer:
28
Step-by-step explanation:
5(6) + (-2) = 30 + (-2) = 30-2 = 28
Answer:
28
Step-by-step explanation:
x=5 y=2
5x + y
5(6) + (-2)
30 + (-2)
30 - 2
28
D - 8 over -2 = 12 solve for D
Answer: D = -6
Step-by-step explanation:
[tex]\frac{D-8}{-2} =12[/tex]
1) Divide both sides by -2
[tex]D - 8=-6[/tex]
2) Add 8 to both sides
[tex]D=-6[/tex]
HELP.................................! !
Answer:
0.063
Step-by-step explanation:
Answer:
Your answer would be 0.063.
Step-by-step explanation:
0.504 divided by 8 = 0.063
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Hi again! :)
God bless! :)
TR= 3x + 5, and RA = x + 17. Find the value of x.
Greetings from Brasil...
The small green lines on the line segments indicate that TR = RA, as well as the small red lines indicate that MR = RH, then
TR = RA
3X + 5 = X + 17
X = 6
The graph of f(x) is increasing on
(-∞, 0) and decreasing on (0, +∞).
Which statement must be true?
A f(x) has a maximum at x = 0.
B f(x) has a minimum at x = 0.
The domain of f(x) is (0, +∞).
D The range of f(x) is (0, +∞).
Answer: c
Step-by-step explanation:
Question 2(Multiple Choice Worth 2 points)
(01.03)
Solve for x, given the equation √x+9 -4 = 1.?
Answer:
x = 16
Step-by-step explanation:
find the LCM of 34,40,168
Answer:
14,280...............enjoy
Ana compra en la tienda 15/20 gramos de jamon y 15/20 gramos de queso y quiere saber a cuanto equivale en decimales
15/20 gramos equivalen a 0 . 75 en forma decimal. Si se supone que las cantidades decimales deben sumarse, entonces 1 . 5
-------------------------------
Espero que esto te ayude.
Que tengas un buen día y que Dios te bendiga. :)
pls help u with these to
Answer:
5 acute
6 acute
3 obtuse
4 obtuse
Step-by-step explanation:
Hope this helps
Why is the base of the triangle the same as the circumference
of the circle?
Answer: Because They are literally the same!
Step-by-step explanation:
So listen, The base of a cone is
1. Flat
2. Circle
3. no sides
And a circle has these characteristics too!
So here is your answer Brainliest and thanks + 5 STAR ⭐
Use the distance formula to find the area of the square:
Answer:
10
Step-by-step explanation:
Distance formula:
d = √(x₂-x₁)²+(y₂-y₁)²
A (1,2) D (4,3)
d = √(4-1)²+(3-2)² = 3.16227766
All 4 sides of a square are equal lengths.
The equation for the area of a square:
A = a²
A = (3.16227766)² = 10
please help with this question, thank you!!
Answer:
[tex]-\sqrt{2}[/tex]
Step-by-step explanation:
Note that:
[tex]a^2-2ab+b^2=(a-b)^2 = 4ab \\ \\ a^2 + 2ab+b^2 = (a+b)^2 = 8ab \\ \\ \implies \frac{a+b}{a-b}=\frac{\sqrt{8ab}}{-\sqrt{4ab}}=-\sqrt{2}[/tex]
Answer:
[tex]\sf \dfrac{a+b}{a-b}= -\sqrt{2}[/tex]
Step-by-step explanation:
[tex]\sf a^2 + b^2 = 6ab \qquad where\:\:0 < a < b[/tex]
Basic formula:
[tex]\sf (a + b)^2 = a^2 +b^2 +2ab[/tex]
[tex]\sf (a - b)^2 = a^2 + b^2 -2ab[/tex]
solve for a + b
[tex]\sf \rightarrow a^2 + b^2 = 6ab[/tex]
[tex]\sf \rightarrow (a+b)^2-2ab = 6ab[/tex]
[tex]\sf \rightarrow (a+b)^2 = 6ab+2ab[/tex]
[tex]\sf \rightarrow (a+b)^2 = 8ab[/tex]
[tex]\sf \rightarrow a+b = \pm \sqrt{8ab}[/tex]
solve for a - b
[tex]\sf \rightarrow a^2 + b^2 = 6ab[/tex]
[tex]\sf \rightarrow (a-b)^2 + 2ab = 6ab[/tex]
[tex]\sf \rightarrow (a-b)^2 = 6ab-2ab[/tex]
[tex]\sf \rightarrow (a-b)^2 = 4ab[/tex]
[tex]\sf \rightarrow a-b = \pm \sqrt{4ab}[/tex]
Now solve for (a + b)/(a - b)
[tex]\sf \rightarrow \dfrac{a+b}{a-b}= \dfrac{\pm\sqrt{8ab} }{\pm\sqrt{4ab} }[/tex]
[tex]\sf \rightarrow \dfrac{a+b}{a-b}= \pm \sqrt\dfrac{8ab }{4ab}[/tex]
[tex]\sf \rightarrow \dfrac{a+b}{a-b}= \pm \sqrt{2}[/tex]
As, the value of b is greater than the value of a and both the values a and b are greater than 0. It turns the value of expression negative as the denominator will be always evaluated to negative integer and the numerator value always > 0. So, the answer will be negative, -√2.
[tex]\sf \rightarrow \dfrac{a+b}{a-b}= - \sqrt{2}[/tex]