Answers
Answer:
Step-by-step explanation:
[tex](x^2-3x+1)^{(2x^2+x-6)}=1\ we \ take \ the \ logarithm\\\\(2x^2+x-6)*ln(x^2-3x+1)=0\\\\(2x^2+x-6)=0\ or\ x^2-3x+1=1\\\\1)\\2x^2+x-6=0\\2x^2+4x-3x-6=0\\2x(x+2)-3(x+2)=0\\(x+2)(2x-3)\\x=-2\ or\ x=\dfrac{3}{2} \\\\2)\\x^2-3x=0\\x(x-3)=0\\x=0\ or\ x=3\\\\sol=\{-2,0,\dfrac{3}{2},3\}\\[/tex]
Related Questions
Show 713.65 in expanded notation
Answers
Answer:
713.65 = (7 x 100) + (1 x 10) + (3 x 1) + (6/10) + (5/100)
Step-by-step explanation:
Determine the largest integer value of xx in the solution of the following inequality.[tex]2x-2\leq 11[/tex]
Answers
Answer:
6
Step-by-step explanation:
Add 2 to both sides, then divide both sides by 2.
[tex]2x \leq 13 \\x \leq 13/2[/tex]
x is less than or equal to 13/2, So the largest value is 13/2, or 6.5. Meaning the largest integer value is 6
Find the distance between the points.
(9.7, -2.1), (-3.2, 8.1)
Answers
write the 3 terms of ( 2a+ax)^5 given the first terms in the expansion (b +2x) (2+ ax)^5 are 96 - 176x+cx^2. find the values of a,b,c
Answers
Answer:
a^5x^5, 10a^5x^4, 40a^5x^3
Step-by-step explanation:
Use pascal's triangle for the first one
(2+x)^5 * a^5
= x^5a^5 + 5*2^1*x^4*a^5 + 10*2^2*x^3*a^5 ...
= a^5x^5 + 10a^5x^4+ 40a^5x^3 ...
IXL PLEASE HELP
Ayana bought new equipment for her bowling alley, including a ball return machine. There is a 55% chance that the machine returns a bowling ball with the finger holes facing up.
If the machine returns 4 bowling balls, what is the probability that exactly 3 will have the finger holes facing up?
Write your answer as a decimal rounded to the nearest thousandth.
Answers
The answer would be .090
Please help
I’ll give brain-lest
I promise
Answers
Answer:
x = 12
Step-by-step explanation:
27 + 3x - 1 = 5x + 2
27 + (3x - 3x) - 1 = (5x - 3x) + 2
27 - 1 = 2x + 2
26 = 2x + 2
(26 - 2) = 2x (+ 2 - 2)
24 = 2x
24/2 = 2x/2
12 = x
x = 12
27+3 =30
30x-1
X=30-1
X=29
Hope this helps
Please mark me as braialist
what property is being used in 2a+5a=(2+5)a
Answers
Answer:
distributive property
which numbers are equivalent to 3 tenths ? Choose all that apply.
Answers
The radius of the earth is about 4,000 miles. A) what is the approximate diameter of the earth? b) what is the approximate distance around the earth at the equator?
Answers
A) diameter = radius x 2
Diameter = 4,000 miles x 2 = 8,000 miles
B) distance around the Earth is the circumference.
Circumference = pi x diameter
Circumference = 3.14 x 8,000 = 25,120 miles
PLEASE HELP I NEED HELP!!!!!! 30 POINTS
Figure B is a scaled copy of Figure A.
What is the scale factor from Figure A to figure B?
Answers
Answer:
1/3
Step-by-step explanation:
The left side of Figure A is 6 units long
The left side of Figure B is 2 units long
6 * what = 2
Divide each side by 6
what = 2/6
what = 1/3
The scale factor is 1/3
Answer:
[tex]\frac{1}{3}[/tex]
Step-by-step explanation:
Figure A has a base of [tex]6[/tex] units.
Figure B has a base of [tex]2[/tex] units.
So, 6 * [tex]x[/tex] (the scaled factor) = 2 which simplified is [tex]6x=2[/tex].
Now, we divide 6 on both sides giving us [tex]x = \frac{2}{6}[/tex] which can be further simplified into [tex]\frac{1}{3}[/tex]
at a certain certain point in time the sun of an alien world is directly overhead that
world's equator
Answers
what is the solution to the compound inequality in interval notation
Answers
Answer:
First choice is the right answer (-∞, -9] or (2, ∞)
Step-by-step explanation:
I. Solve 1st problem 2(2x - 1) > 6
4x-2 > 6
4x > 6+2
x > 2
II. Solve 2nd problem x + 3 <= -6
x <= -6-3
x <= -9
III. Prove the answer
if x > 2 then x = 3
2( 2(3)-1 ) > 6
2(5) > 6
10 > 6 so the answer is true
if x <= -9 then x = -9
-9 + 3 <= -6
-6 <= -6 so the answer is true
Hope that help :D
Find the midpoint in geometry.
Answers
[tex]\\ \rm\longmapsto (x,y)=\left(\dfrac{x_1+x_2}{2},\dfrac{y_1+y_2}{2}\right)[/tex]
[tex]\\ \rm\longmapsto (x,y)=\left(\dfrac{3+3}{2},\dfrac{6-2}{2}\right)[/tex]
[tex]\\ \rm\longmapsto (x,y)=\left(\dfrac{6}{2},\dfrac{4}{2}\right)[/tex]
[tex]\\ \rm\longmapsto (x,y)=(3,2)[/tex]
A street map uses a scale of 1 cm: 200 m.
a) Simplify this ratio.
B) Find the actual distance, in kilometres, represented by each scaled distance.
i) 7 cm
ii) 9.5 cm
iii)12.4 cm
C) Find the scaled distance, in centimetres, used to represent each actual distance,
i) 18 km
ii) 1500 m
iii) 9.6 km
Answers
Answer:
B)
1400m
1900m
2480m
C)
90cm
7.5cm
4.8cm
5x-4[7+(2x-4)], for x=-3
Answers
Answer:
-3
Step-by-step explanation:
Plug in x = -3
5(-3) - 4[7+(2(-3)-4)]
We'll use order of operations (PEMDAS) from here on out.
Evaluate what is in the innermost parentheses first (2(-3) - 4: the parentheses inside of the brackets). We first multiply 2 * -3, then subtract -4.
2(-3) - 4 = -6 - 4 = -10
So the whole expression becomes
5(-3) - 4[7+ -10]
Now evaluate what is in brackets.
5(-3) - 4[-3]
Multiplication next, before addition.
-15 + 12
Finally, addition
-3
write 2.5 repeating as a mixed number in simplest form.
Answers
Answer:
2 5/9
Step-by-step explanation:
2.5 repeating is 2 5/9 as a fraction (mixed number) or 23/9 (fraction)
The repeating decimal 2.5 can be written as the mixed number 2 5/9 in simplest form.
Here, we have,
To convert the repeating decimal 2.5 to a mixed number in simplest form, we can follow these steps:
Step 1:
Let's assume x = 2.5
Step 2:
Multiply both sides of the equation by 10 to shift the decimal point one place to the right: 10x = 25.5
Step 3:
Subtract the original equation from the one obtained in Step 2 to eliminate the repeating part:
10x - x = 25.5- 2.5
9x = 23 (since the repeating part subtracts to zero).
Step 4: Solve for x by dividing both sides by 9:
x = 23 / 9.
Step 5: Express the fraction 23/9 as a mixed number:
23 ÷ 9 = 2 remainder 5.
Therefore, x = 2 remainder 5/9.
so, we get,
Thus, the repeating decimal 2.5 can be written as the mixed number 2 5/9 in simplest form.
To learn more on number click:
brainly.com/question/17429689
#SPJ6
finish 9 and 10 (giving lots of points!!!!)
Answers
Answer:
#9Rule for rotation 90 clockwise about the origin:
(x, y) → (y, -x)Apply to the given points:
S(1, -4) → S'(-4, -1)W(1, 0) → W'(0, -1)J(3, -4) → J'(-4, -3)#10Rule for rotation 180 about the origin:
(x, y) → (-x, -y)Apply to the given points:
V(-5, -3) → V'(5, 3)A(-3, 1) → A'(3, -1)G(0, -3) → G'(0, 3)>
→
PQ and RS are in the same plane and do not intersect. What geometric term describes PQ and RS?
perpendicular lines
complementary lines
skew lines
parallel lines
Answers
Answer:
Parallel lines
Step-by-step explanation:
Can someone please help me I don’t get this (Due today)
Answers
Answer:
Which grade's book exercise is this?
-6, 20, 4.3, -59/-9
Order from least to greatest
Answers
Please help me if I don't get this done imma fail
Answers
Answer:
as mentioned
JT=3x+5--------> (1)
CT=69----------> (2)
CJ=4x+8-------> (3)
Now,
JT=CT-CJ
3x+5 = 69 - (4x+8)
3x+5=69-4x-8
3x+5=61-4x
taking variables to one side.
3x+4x = 61-5
7x = 56
x = 56/7
x=8
put value of x in (1)
JT=3(8) + 5
JT= 24+5
JT=29
Step-by-step explanation:
Answer:
Kayleigh Did u at least try Before u asked for help because u do know that u can always retake it multiple time I know because I have all 3 boxes filled in purple from just retaking it after I studied the answer.
Step-by-step explanation:
So first just try doing it and then retaking it.
When a new cellphone is put on the market, the demand each month can be described by the function C of t is equal to negative square root of the quantity t squared plus 4 times t minus 12 end quantity plus 3 where C (t) represents the demand of the cellphone (measured in millions of people) and the time, t, is measured in months. Which of the following solution(s) are valid for a positive demand?
Answers
A function is positive where it is above the x-axis
The valid solution for positive demand are; t = 3, and t = 2
The reason the above values are correct is as follows:
Known parameters:
The given function of the demand is; [tex]C(t) = \mathbf{ -\sqrt{t^2 + 4 \times t - 12} +3}[/tex]
Where;
C(t) = The demand of the cellphone (in millions of people)
t = The number of months
The condition positive demand is C(t) ≥ 0
Therefore;
[tex]-\sqrt{t^2 + 4 \times t - 12} +3 \geq 0[/tex]
[tex]-\sqrt{t^2 + 4 \times t - 12} \geq -3[/tex]
[tex]\sqrt{t^2 + 4 \times t - 12} \leq 3[/tex]
t² + 4·t - 12 ≤ 9
t² + 4·t - 12 - 9 ≤ 0
t² + 4·t - 21 ≤ 0
(t - 3) × (t + 7) ≤ 0
∴ t ≤ 3, or t ≥ -7
At t = 2 < 3, we have;
C(2) = -√(2² + 4×2 - 12) + 3 = 3
At t = 1 < 3, the function is; C(1) = -√(1² + 4×1 - 12) + 3 (Is undefined)
Therefore, the valid solution for positive demand are;
t = 3, and t = 2
Learn more about the functions here:
https://brainly.com/question/24249596
Answer:
3,3
Step-by-step explanation:
10-7X-5+12x=0
Explain
Answers
10-5 is 5 and -7x+12x is 5x so that makes
5x+5=0 Subtract 5 from both sides
5x=-5 Divide both sides by 5
x=-1
Answer:
x = -1
Step-by-step explanation:
[tex]10 - 7x - 5 + 12x = 0[/tex]
➡️ [tex]5 - 7x + 12x = 0[/tex]
➡️ [tex]5 + 5x = 0[/tex]
➡️ [tex]5 + 5x - 5 = 0 - 5[/tex]
➡️ [tex]5x = 0 - 5[/tex]
➡️ [tex]5x = - 5[/tex]
➡️ [tex]5x \div 5 = - 5 \div 5[/tex]
➡️ [tex]x = - 5 \div 5[/tex]
➡️ [tex]x = - 1[/tex]
Can someone help me on this?? Im really struggling
Answers
Given the function g of x is equal to the quantity 2 x squared plus 3 x plus 5 end quantity over the quantity x plus 3 end quantity determine the equation for the slant asymptote.
y = –2x + 3
y = 2x + 3
y = 2x – 3
y = 2x + 9
Answers
Answer: 2x-3
Step-by-step explanation:
2x-3
---------------
X+3 /2x^2+3x+5
( - )2x^2+6x Multiply x • 2x^2
______. and subtract it from 2x^2
-3x+5. Multiply x • -3 and subtract it
(-)-3x-9 from -3x
______
14
Answer:
y=2x-3
Step-by-step explanation:
plzzzz help (wrong answers will be deleted )...(100 points!!)
16x^4−24x^3+3 / 4x^2+3 fill in the boxes(spaces lol) = x^2 - x - + /
Answers
[tex]\boxed{\sf \dfrac{a^m}{a^n}=a^{m-n}}[/tex]
[tex]\\ \rm\Rrightarrow \dfrac{16x^4-24x^3+3}{4x^2+3}[/tex]
Take 4x^2+3 common out[tex]\\ \rm\Rrightarrow 4x^2+3\left(\dfrac{4x^2-24x+1}{1}\right)[/tex]
[tex]\\ \rm\Rrightarrow \dfrac{4x^2-24x+1}{1}[/tex]
[tex]\\ \rm\Rrightarrow 4x^2-24x+1[/tex]
Answer:
4x² - 24x + 1
Step-by-step explanation:
[tex]\frac{16x^{4}-24x^{3}+3}{4x^{2}+3}[/tex]
~Factor out the denominator and apply quotient rule [ a^b / a^c = a^b-c ]
[tex]4x^{2}+3 (\frac{\frac{16}{4} x^{4-2}-24x^{3-2}+\frac{3}{3} }{1})[/tex]
[tex]\frac{4x^{2}-24x+1}{1}[/tex]
~Divide everything by 1
[tex]4x^{2} -24x+1[/tex]
Best of Luck!
Name the pair of opposite rays with endpoint N.
Answers
Answer:
Possible Answers: NA and NX or NM and NC.Step-by-step explanation:
PLS MARK ME BRAINLEIEST AND FLW ME
Express cos9x cos3x as a sum of two trigonometry function
Answers
Step-by-step explanation:
the answer is in the image above
John's Coffee Shop makes a blend that is a mixture of two types of coffee. Type A coffee costs John $5.95 per pound, and type B coffee costs $4.65 per pound. This month's blend used three times as many pounds of type B coffee as type A, for a total cost of $656.70. How many pounds of type A coffee were used?
Answers
Answer:
Let x = the number of lbs of Type A coffee.
We know that this month's blend used 3 times as many pounds of type B coffee as type A coffee.
Total lbs of coffee = x + 3x
The total cost then is:
($ cost for Type A)(x) + ($ cost for Type B)(3x) = $717.60
$5.65x + $4.25(3x) = $717.60
$5.65x + $12.75x = $717.60
$18.40x = $717.60
x = 39 lbs
Add.
-1 3/4 + (-3/5) + (-1/4)
Enter your answer as a simplified mixed number in the box.
Answers
Answer:
-2 3/5
Step-by-step explanation:
that is the answer yep