O resultado x² – 4a² é obtido por meio de qual dos produtos notáveis abaixo?
(yx - 2a)²
(yx + 2a)(yx + 2a)
(x + 2a)(x – 2a)
(x + a)(x + 2)
(yx + 2a)²
Answer:
here,
x^2-4a^2
x^2-(2a)^2
(x+2a) (x-2a)
slove for x: 27x^3/4=125
Answer:
[tex]x=\sqrt[3]{\frac{500}{27}}[/tex]≈ [tex]2.64566842[/tex]
Step-by-step explanation:
[tex]\frac{27x^{3}}{4}=125\\27x^{3}=125*4\\27x^{3}=500\\x^{3}=\frac{500}{27}\\x=\sqrt[3]{\frac{500}{27}}[/tex]
An approximation in decimal form would be as follows:
[tex]x=\sqrt[3]{\frac{500}{27}}[/tex]≈ [tex]2.64566842[/tex]
Josie has $147 left on her checking account she writes a check for $56 and then gets paid $225 what is the balance in her checking account now?
Answer:
A
digit to ghzhzjujzj hazing
Step-by-step explanation:
Joslin uphill to
Gun giddy
What fraction is equivalent to 0.7 ?
Enter your answer in the space provided. Enter only your answer.
Answer:
7/10
Step-by-step explanation:
7/10 = 0.7
Hope that helps!
Answer:
[tex]0.44... = \frac{4}{9}[/tex] (saw your comment)
[tex]0.7=\frac{7}{10}[/tex]
What are the domain and range of function p within the context of Melissa’s garden?
Drag the values to the correct locations on the image. Each value can be used more than once, but not all values will be used.
When a function is plotted, the domain and the range of the function are the x-coordinate and the y-coordinate respectively. The domain and range of the assumed function for Melissa's garden are: [tex]x = (2,\infty][/tex] and [tex]p(x) = (0,\infty][/tex], respectively.
The function for Melissa's garden is not given. So, I will give a general explanation to calculate domain and range.
The domain is all possible values the independent variables of a function can take while the range is all possible values the dependent variables of a function can take
Assume the function of Melissa's garden is:
[tex]p(x) = x(x - 2)[/tex]
Start by equating the function to 0
[tex]x(x - 2) = 0[/tex]
Split
[tex]x = 0\ or\ x - 2 = 0[/tex]
Solve
[tex]x = 0\ or\ x = 2[/tex]
The above values of x will give [tex]p(x) = 0[/tex]
Because it is a garden, the length of the garden cannot be 0 or less.
So, the domain of the function is:
[tex]x = (2,\infty][/tex]
This means that the domain starts from a value greater than 2 (e.g. 3) and ends at infinity
To calculate the range, we substitute [tex]x = (2,\infty][/tex] in the function
[tex]x = 2[/tex] means
[tex]p(2) = 2 \times ( 2- 2) = 0[/tex]
[tex]x = \infty[/tex] means
[tex]p(2) = \infty \times (\infty- 2) = \infty[/tex]
So, the range of the function is:
[tex]p(x) = (0,\infty][/tex]
This means that the domain starts from a value greater than 0 (e.g. 1) and ends at infinity
Read more about domain and range at:
https://brainly.com/question/24276621
Answer:
The range is 0, infinity and the domain is 0,12
Step-by-step explanation:
A motorboat travels 448 kilometers in 8 hours going upstream and 440 kilometers in 5 hours going downstream. What is the rate of the boat in still water and what is the rate of the current?
9514 1404 393
Answer:
boat: 72 km/hcurrent: 16 km/hStep-by-step explanation:
The speed difference between boat and current is the upstream rate:
(448 km)/(8 h) = 56 km/h
The sum of speeds of boat and current is the downstream rate:
(440 km)/(5 h) = 88 km/h
The rate of the boat is half the sum of these:
(56 +88)/2 = 72 . . . km/h
The rate of the current is half their difference:
(88 -56)/2 = 16 . . . km/h
The rate of the boat is 72 km/h; the rate of the current is 16 km/h.
It you drive 7 hours and travel 280 miles what is your fate
Answer:
280/7
Step-by-step explanation:
280/7 = 40
Simplify 56:40:16 (show your working)
9514 1404 393
Answer:
7 : 5 : 2
Step-by-step explanation:
The ratio is reduced by dividing by the greatest common factor. Since you know your multiplication tables, you know each of the numbers is a multiple of 8. When you divide that out, you get the reduced form.
56 : 40 : 16 = 56/8 : 40/8 : 16/8 = 7 : 5 : 2
In an auditorium, there are 9 rows of seats with 18 seats in each row .There also 6 rows of seats with 24 seats in each row. How many seats are ther ein the auditorium? Estimate first. Then checkfor reasonableness.
Answer:
306
Step-by-step explanation:
You multiply 9 by 18 to see how many chairs are there, you then get 162. Then to see the next 6 rows you multiply 6 by 24 which gives you 144. You add both to get 306. Hope it helped :)
In a Sample, 54 out of 75 middle school students said that they are going to the school carnival. Based on this sample, approximately how many of the 750 middle school students are going to the carnival?
Answer:
540 middle school students.
Step-by-step explanation:
54/75 equals x/750. 75 times 10 equals 750 so 54 times 10 equals 540 middle school students
pls help me with these 2 questions
If the mean time is 22 minutes and the standard deviation is 5 minutes , 95% of the employees will have travel time within which range?
Answer:
12 minutes to 32 minutes
Step-by-step explanation:
"normal distribution. If the mean time is 22 minutes and the standard
deviation is 5 minutes, 95% of the employees will have a travel time within
which range?"
"A. 17.25 minutes to 26.75 minutes
B. 12 minutes to 32 minutes
C. 7 minutes to 37 minutes
D. 17 minutes to 27 minutes"
What’s the decimal expression for 8/11
Answer:
0.72
Step-by-step explanation:
8 / 11 = 0.72
0.72727272727273 is the answer love !
What is the product of 3V6 and 5/12 in simplest radical form?
Carla stood 12 feet from the tractor tire. What is the radius of the tire.
A. 9 feet
B. 18 feet
C.24 feet
D.30 feet
Determine which of the following Equations illustrates the Commutative Property of
Multiplication. *
(1 Point)
(6) (2) (3) = (3) (2) (6)
2 +8 = 2 (1+4)
7+ (8 + 5) = (7 + 8) + 5
(5) (3 x 4) = (5 x 3) (4)
Answer:
3" (and any subsequent words) was ignored because we limit queries to 32 words.
69. The O'Brien's had $400.0 in a special
checking account for installment payments.
After paying $40.00 a month for three months
and $20.00 a month for two months. How
much was left in the account?
Hello :D
$40.00 x 3 = $120.00
$20.00 x 2 = $40.00
$120.00 + $40.00 = $160.00
$400.00 - $160.00 = $240.00
There is $240.00 left in the account.
Job A: $496.15 per weekJob B: $25,750 per year
a. Which job pays more?
b. How much more?
Answer: A. Job A pays more
B. $49.80
Step-by-step explanation:
A plane flying overhead at night is located by two
searchlights as shown at right. The two
searchlights are 1200 feet apart. Angle A = 72°
and angle B = 77º. How high is the plane?
Answer:
Step-by-step explanation:
B
2
3
Let the distance of two consecutive stones are x, x+1.
In ΔBCD, we have
tan60
o
=
x
h
⇒x=
3
h
.....(i)
In ΔABC, we have
tan30
o
=
x+1
h
⇒
3
1
=
x+1
h
⇒
3
h
+1=
3
h ......[from equation (i)]
⇒
3
2h
=1
⇒h=
2
3
km
solution
Someone answer this please I don’t know what the answer is
Answer:
3e+10f-9
Step-by-step explanation:
We have to collect the matching letters
4e-e is 3e
2f+8f is 10f
-9 is the only number
In algebra, we always write them in alphabetical order, with any lonely numbers last
So we have 3e+10f-9
Please help me. I'm stuck on question C. I've tried 1 or -1 so please tell me what's wrong with that. Thank you.
Answer:
In the first two parts you have filled in the table and found the correct graph of the function y = x² - x - 2, which is C.
Now, to solve for part C, you need to consider y = 3 value on the graph C.
Corresponding points on x-axis are the points you are looking for.
The points are:
-1.8 and 2.8See the attached.
The distance from earth to the moon is about 406,690kms. Which is true statement about this number
Answer:
The number is an integer.
Step-by-step explanation:
A true statement about the number 409,690 km is that the number is an integer.
write prime factors for 45
Answer:
3 and 5 are prime factors for the number 45
Step-by-step explanation:
45 = 15 * 3
15 = 3 * 3 * 5
What is the reciprocal, multiplicative inverse of -14/15
Answer:
reciprocal = -14/15
= 15/-14
multiplicative inverse = [tex]\frac{-14}{15}[/tex] × [tex]\frac{15}{-14}[/tex] = [tex]\frac{-210}{-210}[/tex] = 1
= [tex]\frac{15}{-14}[/tex]
Is the value of the two in 23,406 10 times as great as the value of the three?
Answer:
yes, it is 10 times as great
For the function f(x) = -x^3 + 2x^2 + x - 2
a. Show that (x - 1) is a factor of f(x).
b. Find other factors.
c. Sketch the graph of f(x) = -x^3 + 2x^2 x - 2
Answer:
Step-by-step explanation:
a)
[tex]f(1)=-1^3+2*1^2+1-2=-1+2+1-2=0\\\\[/tex]
b)
Rationnel roots are divisor of -2: -1,1,-2,2
[tex]f(-1)=-(-1)^3+2*(-1)^2+(-1)-2=1+2-1-2=0\\\\\begin{array}{c|cccc}&x^3&x^2&x&1\\---&---&---&---&---\\&-1&2&1&-2\\x=1&&-1&1&2\\&-1&1&2&0\\\\x=-1&&1&-2\\&-1&2&0\\---&---&---&---&---\\\end {array}\\\\\\f(x)=-x^3+2x^2+x-2=(x-1)(x+1)(-x+2)\\\\[/tex]
c) see picture
A woman works at a law firm in city A which is about 40 miles from city B. She must go to the new law library in city B to get a document. Find how long it takes her to drive round-trip if she averages 50 mph. Use the distance formula, d=rt, where d= Distance traveled, r= rate, and t=time.
The total time taken by the woman to get the document in the round trip is 1.6 hours.
The given parameters;
distance between city A and city B, = 40 miles
the average speed of the woman, v = 50 miles per hour
To find:
the total time taken by the woman during the journeyThe total distance of the round trip is calculated as follows;
From A to B = 40 milesFrom B back to A = 40 milesTotal distance of the round trip = 40 miles + 40 miles = 80 miles
The average speed of the woman is given as;
[tex]average \ speed \ = \frac{total \ distance }{total \ time } \\\\total \ time = \frac{total \ distance }{average \ speed} \\\\total \ time = \frac{80 \ miles }{50 \ miles/hr} \\\\total \ time = 1.6 \ hours[/tex]
Thus, the total time taken by the woman to get the document in the round trip is 1.6 hours.
Learn more here: https://brainly.com/question/17289046
In exercises 1-2, solve the formula for the indicated variable.
1: Surface area of a cylinder: S=2πr^2+2πrh: Solve for h.
2: Area of a trapezoid: A=1/2h(b1 + b2); Solve for b2.
The 1 and 2 are supposed to be under to the side of b like this.
Answer:
area of a trapezoid A =1Step-by-step explanation:
2
For a 48 foot fence there is a post every 6 foot. Traci said that she will need 8 posts total. Is
she correct? Explain in words.
Answer:she is right
Step-by-step explanation:
If you have to make a 48 foot long fence and each post is 6 feet then you would need 8. 6 times 8 =48
Answer:
She will need 9 posts. 1 in each end and 7 in the middle = 2+7=9
Step-by-step explanation:
what is the numerical expression of eight to the fourth power increased by six
Answer:
8^4 + 6
Step-by-step explanation:
we know it is an expression so there should be no equal sign and the write eight to the fourth power increased by six in numbers.
You get: 8^4 + 6