Answer:
x=-3/2 x=2
Step-by-step explanation:
2x(1-x)=x-6
2x-2x^2=x-6
subtract x from both sides
add 6 to both sides
x-2x^2+6=0
reorganize
-2x^2+x+6=0
factor
2x+3=0
x-2=0
solve both
2x+3=0
2x=-3
x=-3/2
now the other one
x-2=0
x=2
Sorry, I don't speak spanish.
Study the function below and then answer the questions that follow. Equation What is the domain of f(x)? What is the range of f(x)?
Answer:
(a) Domain: All real numbers except -2
(b) [tex]f(x) > -4[/tex]
Step-by-step explanation:
Given
See attachment for f(x)
Solving (a): The domain
From the attached image, we have:
[tex]f(x) = -x - 2, x <-2[/tex]
[tex]f(x) = -x^2, -2 < x < 0[/tex]
[tex]f(x) = x, x \ge 0[/tex]
To get the domain, we consider the inequalities attached to each of the piece-wise function
[tex]x < -2[/tex]
This implies that the values of x is less than -2 i.e.
[tex]x = \{.......,-4,-3\}[/tex]
[tex]-2< x<0[/tex]
This implies that x is greater than -2 and less than 0 i.e.
[tex]x = \{-1\}[/tex]
[tex]x \ge 0[/tex]
This implies that x is greater than or equal to 0 i.e.
[tex]x =\{0,1,2,3,....\}[/tex]
If these values of x are merged, we have:
[tex]x = \{.......,-4,-3,-1,0,1,2,3.....\}[/tex]
[tex]x = \{-\infty,..,-4,-3,-1,0,1,2,3,...,\infty\}[/tex]
-2 is not included in the above values of x.
Solving (b): The range
From the attached image, we have:
[tex]f(x) = -x - 2, x <-2[/tex]
[tex]f(x) = -x^2, -2 < x < 0[/tex]
[tex]f(x) = x, x \ge 0[/tex]
Substitute the greatest value of x in each piece-wise function.
[tex]f(x) = -x - 2, x <-2[/tex]
[tex]x=-2[/tex]
So;
[tex]f(-2) = -2-2 = -4[/tex]
[tex]f(x) = -x^2, -2 < x < 0[/tex]
[tex]x = -2[/tex]
So:
[tex]f(-2) = -2^2 = -4[/tex]
[tex]f(x) = x, x \ge 0[/tex]
[tex]x = \infty[/tex]
So;
[tex]f(\infty) = \infty[/tex]
We have:
[tex]f(-2) =-4[/tex]
[tex]f(-2) =-4[/tex]
[tex]f(\infty) = \infty[/tex]
The smallest value of f(x) is -4
Hence, the range is:
[tex]f(x) > -4[/tex]
Answer:
Domain is
B)
(-infinity, -2) U (-2, infinity)
Range is (-4, infinity)
Step-by-step explanation:
go it correct
edge2022
can anyone help me please!!!!!!!!!!!
Answer:
a) 45
Step-by-step explanation:
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Answeryou need to write your question better
Select the correct answer.
Each of the four angles of a quadrilateral measures 90°. How many rectangles can you construct using this condition?
Ο Α. Ο
OB
1
OC. 2
OD
4.
OE
infinitely many
Reset
Next
Answer:
OD
Step-by-step explanation:
Answer:
It's OD
p explanation:
10 points please help
The Answer Is 9-6i
have an amazing day <3
Answer: 9-6i
Step-by-step explanation:
Whats the área and circumference if the diameter is 10mm?
Answer:
78.54
Step-by-step explanation:
Answer:
Circumference of a circle in terms of radius:
Circumference = 2·π·r = 2·3.14·5 = 31.42 mm.(*)
In terms of diameter:
Circumference = π·d = 3.14·10 = 31.4 mm.(*)
In terms of area:
Circumference C = √4·π·A = √4·π·78.54 = 31.42 mm.(*)
Step-by-step explanation:
Note: For simplicity, the operations above were rounded to 2 decimal places and π was rounded to 3.14.
Factorize completely
2x^2+4x-6
Answer:
Solution given;
2x²+4x-6
2x²+6x-2x-6
2x(x+3)-2(x+3)
(x+3)(2x-2)
is your answer
Answer:
2(x + 3)(x - 1)
Step-by-step explanation:
Given
2x² + 4x - 6 ← factor out 2 from each term
= 2(x² + 2x - 3) ← factor the quadratic
Consider the factors of the constant term (- 3) which sum to give the coefficient of the x- term (+ 2)
The factors are + 3 and - 1 , since
3 × - 1 = - 3 and 3 - 1 = + 2 , then
x² + 2x - 3 = (x + 3)(x - 1) , so
2x² + 4x - 6 = 2(x + 3)(x - 1) ← in factored form
ANSWER FOR BRAINLIEST AND 50 POINTS:
The high temperatures for the last seven days are: High Temperatures: 81, 78, 83, 89, 80, 87, 78
Find the MEAN of the temperatures. Round to the nearest tenths place.
A. 82.3
B. 89
C. 83
D. 78
Answer:
A.
mean=82.286
Rounded to the tenths place would be= 82.3
Step-by-step explanation:
The Mean is found by adding all of the values together
Then dividing it by how many values there are.
In this instance, all the values added up equal 576
576 now will be divided by how many temperatures are recorded.
576/7=82.286
82.286 Rounded to nearest tenth=82.3
Topic E: Expressing Operations in Algebraic Form
I NEED THE ANSWER AS SOON AS POSSIBLE
Answer:
3) 2p - 4
1) 8 - d
2) (d + 9) - 6
3) 1/2(x + s)
PLS help plssss 30 points plssss and how how u know it’s math plssssss helppppp
Answer:
2x + 6 = 45
Step-by-step explanation:
2x + 6 = 96
96 - 6 = 90
90 divided by 2x
= 45
hope this helps :)
Answer:
solution given:
2x+6=96 [vertically opposite angle]
2x=96-6
x=90/2=45°
x=45°
find the height of a cone with a volume of 21ft and a radius of 4ft
here's the solution,
volume of cone :
=》
[tex]v = \dfrac{1}{3} \pi {r}^{2} h[/tex]
=》
[tex]21 = \dfrac{1}{3} \times 3.14 \times4 {}^{2} \times h [/tex]
=》
[tex]h = \dfrac{21 \times 3}{3.14 \times 16} [/tex]
=》
[tex]h = 1.253[/tex]
height = 1.25 ft (approximate)
I literally do not understand this at all. PLEASE HELP ASAP
what is 1842 plus 5939
Answer:
7781
Step-by-step explanation:
1842+5939=7781
Rhondas test score was 75%. if there were 48 items on the test ,how many did she awnser correctly
Answer:
36 problems correctly
Step-by-step explanation:
48*.75
Answer:
36
Step-by-step explanation:
one day, bill at the candy shoo sold 210 bottles of cherry soda and grape soda for a total of 230.30. If the cherry soda costs 1.15 and the grape soda costs $.99, how many of each kind where sold
hii please help asap ill give brainliest thanks
10. need help with this question plzz
Answer:
okay
Step-by-step explanation:
SO MARK THE PERIMETER AND THE FORMULA FOR FINDING TRAPEZUIM IS
area=1/2 (a+b)h
Answer:
144 cm²
Step-by-step explanation:
5x + 12x + 6x + 5x = 56
=> 28x = 56
=> x = 2
DC => 6x = 6(2) = 12
AB => 12x = 12(2) = 24
BC => 5x = 5(2) = 10
AD => 5x = 5(2) = 10
trapezium is an isosceles trapezium because a trapezium with a pair of non-parallel sides(BC&AD) that have equal distances, which are congruent, is an isosceles trapezium.
Thus, the base of the two triangles on each side are congruent.
base: (AB - DC) ÷ 2 = (24 - 12) ÷ 2 = 6
calculate the height using Pythagorean theorem => √10² - 6² = 8
area of the isosceles trapezium ABCD: (12 + 24) × 8 ÷ 2 = 144
Please help, due soon. Use the information provided to write the standard form equation of each circle
Answer:
The answer is D
Step-by-step explanation:
the standard equation for circle is (x －h)² ＋(y －k)² = r² which h is the x coordinate, k is the y coordinate, r is radius. In this case, both x coordinate and y coordinate are 0, so the left side of the equation is x² + y², since the radius is √249, the r² is 249. So the equation is x² + y² = 249, and the answer is D.
Hope this will help❤️
I NEED HELP PLSSS HELP SHOW WORK IF YOU KNOW
PLEASE SHOW THE PROBLEM WE CANT SEE
Took a pic for better quality
PLEASE CAN YOU HELP ME WITH THIS AND EXPLAIN
Answer:
sorry it's very long........
Two numbers have these properties Both numbers are greater than 8 The HCF is 8 The LCM is 80 Find the two numbers
Answer:
10 and 64.
16 and 40
Step-by-step explanation:
The product of the two numbers is equal to the product of LCM and HCF
Number 1* Number 2= LCM * HCF
Number 1* Number 2= 8*80
Number 1* Number 2= 640
Both the numbers are greater than 8. Suppose one number is 10 then the other number will be 640 ÷ 10= 64
so the two numbers will be 10 and 64.
Similalrly the two numbers can also be 16 and 40 and like wise.
Any number greater than 8 dividing 640 will give the second number also.
In the current year Aveeno reported net income of $50,400which was a 12% increase over prior year net income Compute prior year net income
Answer:
$45000
Step-by-step explanation:
Given data
Net income =$50,400
Let the prior year income be x
12/100*x +x= 50400
0.12x+x= 50400
1.12x= 50400
x= 50400/1.12
x= $45000
Hence the prior year income is $45000
first answer will get brainlest and 5 stars and a thanks by me
Answer:
4 seconds
Step-by-step explanation:
Sally averaged that she spent about 6.8×10^4 seconds training for her weight lifting competition in the month of May. Write this time in standard notation.
Answer:
t = 68000 s
Step-by-step explanation:
Given that,
The average time Sally spent for training for her weight lifting competition in the month of May is [tex]6.8\times 10^4\ s[/tex].
We need to write this time in standard notation.
The power of 10 is 4. 10⁴ can be written as 10000.
[tex]6.8\times 10^4=\dfrac{68}{10}\times 10000\\\\=68000[/tex]
So, the standard time is equal to 68000 s.
Consider the function f(x) =
- 4x2xs-1
-3-*-1, *> -1
Which statement explains the continuity of the function at x = -1?
Because lim f(x) = 4 and f(-1) = 4, it follows that lim f(x) = f(-1). Therefore, the function is continuous at x
1.
*--1
*--1
O Because lim f(x) = -4 and f(-1) = -4, it follows that lim f(x)=f(-1). Therefore, the function is continuous at
-1.
*--
X-1
--
O Because lim f(x) = 4 and f(-1) = -4, it follows that lim f(x) f(-1). Therefore, the function is not continuous
*--1
= -1.
O Because lim f(x) = -4 and f(-1) = 4, it follows that lim f(x) f(-1). Therefore, the function is not continuous a
= -1.
--
--1
Answer:
It's B
Step-by-step explanation:
B) Because Limit as x approaches negative 1 f(x) = –4 and f(–1) = –4, it follows that Limit as x approaches negative 1 f(x)= f(–1). Therefore, the function is continuous at x = –1
The diameter of a sphere is multiplied by 1/5. What is the effect on the surface area?
Answer choices:
5 times bigger
5 times smaller
25 times bigger
25 times smaller
15 times bigger
15 times smaller
125 times bigger
125 times smaller
Answer is not here
Answer:
25 times smallerStep-by-step explanation:
Scale factor is:
k = 1/5Ratio of surface areas is:
k² = (1/5)² = 1/25Surface area will be 25 times smaller
Correct choice is D
We know the ratio of sides to area
a/b=a²/b²So
If diameter is multiplied by 1/5
Surface are increases
(1/5)²1/2525 times smaller
please help.
a = 5 ft, b = 12 ft
&
b = 5 in, c = 15 in.
Pythagorean theorem
a^2+b^2=c^2
a=c^2-b^2
Step-by-step explanation:
c=a^2+b^2
5^2+12^2=13
a=c^2-b^2
15^2-5^2= 14.1
Hiiiooo! Can someone please help me out with this!❤️
Answer:
8
Step-by-step explanation:
6² + b² = 10²
36 + b² = 100
-36 -36
b² = 64
[tex]\sqrt{64}[/tex] = 8
b² = 8
hope this helps
Hey, can you please help me the best that you can. I would really appreciate it, thank you! :)
1 cookie = 45 oz sugar
2 cookies = 2×45 oz = 90 oz
3 cookies = 3×45 oz = 135 oz
...
523 cookies = 523×45 oz = 23,535 oz