Answer:
Step-by-step explanation:
We are given
[tex]x^2 - 10x + 4 = 12\\[/tex]
get it all to one side equaling zero
[tex]x^2 - 10x - 8 = 0[/tex]
now, we want to find the factors of 8 that either add up to of have a difference of 10
Factors of 8:
[tex]1, 8, 2, 4[/tex]
None of the factor pairs add up to or have a difference of 10.
So, we can use the quadratic formula
[tex]x = \frac{-b\pm\sqrt{b^2-4ac} }{2a} \\x = \frac{10\pm\sqrt{100-4*8} }{2}\\x = \frac{10\pm\sqrt{132} }{2}\\\\\\x = \frac{10 + \sqrt{132} }{2}= 10.74456265\\x = \frac{10 - \sqrt{132} }{2} = -0.7445626465[/tex]
what is the solution set to three parallel lines
Answer:
null
Step-by-step explanation:
they never intersect, cuz they are parallel
Answer:
lebron james to the 2nd power.
Step-by-step explanation:
Given the graph of the function f(x) below, what happens to f(x) when x is a very small positive number?
F(x) is a negative number with a large absolute value
F(x) is a negatice number with a small absolute value
F(x) is a very small positive number
F(x) is a very large positive number
Using function concepts, it is found that what happens to f(x) when x is a very small positive number is that:
F(x) is a negative number with a large absolute value.
What is the limit of the function as x goes to 0 by the right?F(x) goes to negative infinity, that is, when x is a very small positive number, F(x) is a negative number with a large absolute value.
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Answer:
F(x) is a negative number with a large absolute value.
Step-by-step explanation:
What is the slope of the line of best-fit in the scatterplot below?
A. 9/27
B. 3/7
C. 7/3
D. 27/9
Find the m *With work*
Answer:
MNI = 135º
Step-by-step explanation:
From the picture, we have the two internal angles as [tex]6x[/tex] and [tex]15x-12[/tex]. The third, the angle ∠MNL is 180 - 19x-2. Therefore,
[tex]15x-12+6x+(180-19x-2)=180[/tex]
So,
[tex]15x-12+6x+180-19x-2=180[/tex]
[tex]15x-14+6x-19x=0[/tex]
[tex]2x=14[/tex]
[tex]x=7[/tex]
Finally,
∠MNI = 19x+2 ⇒ ∠MNI = 19(7)+2 ⇒ ∠MNI = 135º
The value of the variable 'x' is 7. Then the measure of the angle ∠MNI will be 131°.
What is the triangle?The polygonal shape of a triangle has a number of sides and three independent variables. Angles in the triangle add up to 180°.
The exterior angle of a triangle is almost always equal to the addition of the interior and opposing interior angles. The term "external angle property" refers to this feature.
Then the equation is given as,
∠NLM + ∠LMN = ∠MNI
6x + 15x - 12 = 19x + 2
2x = 14
x = 7
Then the measure of the angle ∠MNI is calculated as,
∠MNI = 19 (7) - 2
∠MNI = 133 - 2
∠MNI = 131°
The value of the variable 'x' is 7. Then the measure of the angle ∠MNI will be 131°.
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Emily purchased 5 packages of bottled water for $14.95. Each package of bottled water cost the same amount.What is the cost per package of bottled water?
Answer:
$2.9
Step-by-step explanation:
Given the following data;
Total cost of package = $14.50
Number of package = 5
To find the cost of each package;
[tex] Cost \; per \; package = \frac {Total \; cost \; of \; package}{Number \; of \; package} [/tex]
Substituting into the equation, we have;
[tex] Cost \; per \; package = \frac {14.5}{5} [/tex]
Cost per package = $2.9
Therefore, the cost per package of bottled water is $2.9.
find the simple interest paid
$4500, 9%, 3.5 years
Step-by-step explanation:
Principle (P) =$4500
Rate(R) =9%
Time(T)=3.5yrs
We know,
SI=P×T×R/100
=4500×3.5×9/100
=$1417.5
I give anwser keys to any kind of questions just comment below so I can help you
need an answer please asap!
Answer:
Step-by-step explanation:
(A). The quadrilateral ABCD is a trapezoid.
(B). A = 36 units²
Thomas Jefferson borrowed an idea from John Locke that he used in the Declaration of Independence. What did Jefferson call this idea?
A. executive branch
B. peoples rights
C. natural rights
D. unalienable rights
Answer:
The answer to your question is D.unalienable rights.
Step-by-step explanation:
He borrowed this idea from John Locke, a political philosopher of the Enlightenment. Locke said people were given certain "natural rights" which were life, liberty, and property. So, to clarify, Jefferson called this idea "unalienable rights".
Answer:
I believe it is D) unalienable rights
Step-by-step explanation:
Which pair of angles is supplementary?
A) ∠RXZ and ∠YXZ
B) ∠PXQ and ∠RXS
C) ∠YZX and ∠UZT
D) ∠WZX and ∠XYZ
Answer:
A) <RXZ and <YXZ
Step-by-step explanation:
I just took the test
Answer:
its a
Step-by-step explanation:
which of the following expresses the possible number of positive real solutions for the polynomial equation shown below?
[tex]5x^{2} + x ^{2} - 7x + 28[/tex]
The equation that indicates the number of real solution in the polynomial is presented as follows;
[tex]\left(x^2-\dfrac{14426}{7535} \cdot x +\dfrac{42196}{15933} \right)\cdot \left(x+\dfrac{15933}{7535} \right)\cdot 5 = 0[/tex]
What is a polynomial?A polynomial is an expression that has two or more algebraic terms of the same variables that have different powers.
The specified expression is presented as follows;
5·x³ + x² - 7·x + 28
The polynomial equation can be factored using a graphing calculator to get;
5·x³ + x² - 7·x + 28 = [tex]\left(x^2-\dfrac{14426}{7535} \cdot x +\dfrac{42196}{15933} \right)\cdot \left(x+\dfrac{15933}{7535} \right)\cdot 5[/tex]
When the expression is equated to 0, we get;
[tex]\left(x^2-\dfrac{14426}{7535} \cdot x +\dfrac{42196}{15933} \right)\cdot \left(x+\dfrac{15933}{7535} \right)\cdot 5 = 0[/tex]...(1)
The discriminant of the expression [tex]\left(x^2-\dfrac{14426}{7535} \cdot x +\dfrac{42196}{15933} \right)[/tex] is less than 0, therefore, the expression [tex]\left(x^2-\dfrac{14426}{7535} \cdot x +\dfrac{42196}{15933} \right)[/tex] has no solution
The real solutions found from equation (1) is therefore;
[tex]x=-\dfrac{15933}{7535}[/tex]
There is therefore one solution to the expression
The equation that expresses the number of solutions is therefore;
[tex]\left(x^2-\dfrac{14426}{7535} \cdot x +\dfrac{42196}{15933} \right)\cdot \left(x+\dfrac{15933}{7535} \right)\cdot 5 = 0[/tex]
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How many 1 cm^2 tiles are required to fill the boundary of a rectangle with area 32 cm^2?
Answer:
32
Step-by-step explanation:
Area of the rectangular tiles = 32cm²
Area of tiles inside the rectangle = 1m²
Number of tiles inside the triangle = area of rectangle/area if the tikes inside the rectangle= 32cm²/1cm² = 32
Hence 32 1cm² tiles can fill the boundary of the rectangle.
Select the correct answer. How did the Battle of Saratoga affect the American Revolution? A. French troops joined the war on behalf of the colonists. B. The Hessian mercenaries were eliminated from the war. C. Continental soldiers were bribed to compromise the war. D. Washington withdrew from the war after another loss. E. About 10,000 Continental soldiers became prisoners of war.
Answer:
A. French troops joined the war on behalf of the colonists.
Step-by-step explanation:
The Battle of Saratoga is often seen as the turning point of the war. It renewed the morale of the American public and convinced potential foreign partners, such as France, that America could win the war and that it might be in their best interests to send aid.
Answer:
Its A
Step-by-step explanation:
please help me ;-; Evaluate the following exponentials at the given values
Given f(x)=5^x-3, find f(5)
Answer:
Putting x=5 in [tex]f(x)=\{5^x\}-3[/tex] we get f(5)=3122
Step-by-step explanation:
We need to evaluate [tex]f(x)=\{5^x\}-3[/tex] when f(5)
Finding f(5) we need to put x=5
[tex]f(x)=\{5^x\}-3\\x=5\\f(5)=\{5^5\}-3\\f(5)=3125-3\\f(5)=3122[/tex]
So, f(5)=3122
Putting x=5 in [tex]f(x)=\{5^x\}-3[/tex] we get f(5)=3122
Jack bought a new boat for $36,000. The value of the boat continuously
depreciates at a rate of 15%. Find the value of the boat after 5 years.
a. $17,005
b. $7,621
c. $7,240
d. $4,140
Answer:
$15973.4
Step-by-step explanation:
The formula for depreciation is:
a(1 - r)^t
a = Initial value =$36,000
r = depreciation rate = 15% = 0.15
t = time in years = 5 years
The depreciation value = $36000 × (1 - 0.15)⁵
= 36000(0.85)⁵
= $15973.39125
Approximately = $15973.4
The value of the boat is $15,973 after 5 years.
Given that,
New boat cost is (A) $36,000.Depreciation rate is (r) 15%.We need to find the value of boat after (t) 5 years.According to the scenario, computation of the given data are as follows,
Value of boat = [tex]A (1 - r )^{t}[/tex]
By putting the value, we get
Value = [tex]36,000(1 - 0.15)^{5}[/tex]
= [tex]36,000(0.85)^{5}[/tex]
= 36,000 [tex]\times[/tex] 0.4437053125
= $15,973.4 or $15,973
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524800 in scientific notation?
Answer:
5.248 x 10^5
Step-by-step explanation:
there should be one digit and then however many decimals after. the exponent is positive because the original number is larger than one's digit.
QUICK SOLVE 2y=x+6 show work !!!
Answer:
y=0.5x+3
Step-by-step explanation:
Divide both sides by 2 which will give you y=0.5x+3.
5 over 6 divided by 3 over 7 is... bc it’s asking what’s the value?
Answer:
5/14Step-by-step explanation:
5/6×3/7 =5/2×1/7=5/14given f(x) = 4+1 , describe how the graph of g compares with compares with the graph of f?
I think you wrote an incomplete question. With a little research, I was able to find a question similar to you which is attached below. So, I would solve your question based on the question attached below, which anyways would clear your concept.
Answer:
[tex]g(x)[/tex] is the graph of [tex]f(x)[/tex] translated left [tex]3[/tex] units. Also, the comparison graph is attached below.
Step-by-step explanation:
Considering the complete question attached below
Given the function
[tex]f\left(x\right)\:=\:4x+1[/tex]
As for [tex]g(x)=f(x-h)[/tex], the graph of [tex]g(x)[/tex] is the graph of [tex]f(x)[/tex] translated right h units when '[tex]h[/tex]' is greater than zero, and left | [tex]h[/tex] | units when h is lesser than zero.
so it is clear if
[tex]g(x)=4(x+3)+1[/tex] and [tex]f\left(x\right)\:=\:4x+1[/tex], then [tex]g(x) = f(x+3)[/tex].
Hence, [tex]h = -4[/tex] ( lesser than zero i.e. h < 0).
Therefore, [tex]g(x)[/tex] is the graph of [tex]f(x)[/tex] translated left [tex]3[/tex] units. Also, the comparison graph is attached below.
Kristin wants to make 12 ml of an 8% alcohol solution by mixing together a 32% alcohol solution and pure water. How much of each solution must she use?
Answer:
6% of each
Step-by-step explanation:
what is 2/9 = 4/x+8 i dont get this fraction solving
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[tex] \frac{2}{9} = \frac{4}{x + 8} \\ [/tex]
[tex] \frac{4}{x + 8} = \frac{2}{9} \\ [/tex]
Inverse both sides
[tex] \frac{x + 8}{4} = \frac{9}{2} \\ [/tex]
Multiply sides by 4
[tex]4 \times \frac{x + 8}{4} = 4 \times \frac{9}{2} \\ [/tex]
[tex]x + 8 = 2 \times 9[/tex]
[tex]x + 8 = 18[/tex]
Subtract sides 8
[tex]x + 8 - 8 = 18 - 8[/tex]
[tex]x = 10[/tex]
Done...
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Please help with these questions!!:))
Answer:
The first one : decay
The second one : growth
When the argument of the exponential expression is bigger that 1 then it represents a growth
When it's less than 1 and above 0 then it's a decay
Need help urgent!!!!
What is the answer??? Only if you know please i will report you no games
Answer:
the answer is a. it has to be more than 13 and less than 19
Help plz will get brainliest
Answer:
4 i think but im having mixed feelings
Step-by-step explanation:
6*60=360
360/9=4
Using the picture what is the equation of the line in point slope form?*
Answer:
y=2/5(x+5)-3
Step-by-step explanation:
my work is attached
Rewrite in simplest terms: 4(-5u+3)-4(8u-1)4(−5u+3)−4(8u−1)
Answer:
640u
2
−492u+55
Step-by-step explanation:
notsure
Four posts with 3-in. radii are bound together with a wire. Find the length of the shortest wire that will go around them.
A. 42.85 inches
B. 36.22 inches
C. 12.94 inches
D. 24.45 inches
Samuel wants to buy a snake for $288 and the pet store owner wants him to make 6 equal payments of $49. 6 StartLongDivisionSymbol 288 EndLongDivisionSymbol minus 240 = 48. 48 minus 48 to get a remainder of 0 and a quotient of 49. What error did the pet store owner make? There is a multiplication error. The payment should be $48 per month. There is a multiplication error. The payment should be $58 per month. 6 goes into 288 forty-six times. The answer is $46. 6 goes into 48 nine times. $49 is correct.
Answer:
There is a multiplication error. The payment should be $48 per month.
Step-by-step explanation:
Answer:
There is a multiplication error. The payment should be $48 per month.
Step-by-step explanation:
how do you this problem?
Answer:
8
Step-by-step explanation:
Answer:
x=11
Step-by-step explanation:
7x+13= 90 should be your equation.
when you solve you should have:
7x+13=90 but you want to start to solve so the first step would be to subract 13 from both sides because your adding 13 you wanna do the opposite of that and the opposite of addition is subtraction.
7x=77 now you wanna divide 7 from both sides
x=11