Answer:
(5 + a - b)(a² + b² - 2ab - 5a + 5b + 25)
Step-by-step explanation:
125 + (a - b)³ ← is a sum of cubes and factors in general as
a³ + b³ = (a + b)(a² - ab + b²)
Then
125 + (a- b)³
= 5³ + (a - b)³
with a = 5 and b = (a - b)
= (5 a a - b)(5² - 5(a - b) + (a - b)² )
= (5 + a - b)(25 - 5a + 5b + a² - 2ab + b²)
= (5 + a - b)(a² + b² - 2ab - 5a + 5b + 25)
Which of the following best describe(s) the slope of a linear function?
Select all that apply.
rise over run
run over rise
average rate of change
intersection with the y-axis
A construction worker uses a tape measure to find that a pipe is
28
100
of a meter long. Select the decimal that represents the same length.
Answer:
c 0.28 m
Step-by-step explanation:
A construction worker uses a tape measure to find that a pipe is 28/100 of a meter long. Select the decimal that represents the same length.
a 1.28 m
b 2.8 m
c 0.28 m
d 0.028 m
Given:
Length of the pipe in fraction = 28/100
What is the equivalent length in decimal?
28/100
How many hundred can you get in 28
= 0. Remainder 28
Add 0 to 28 which makes it 280
How many hundred can you get in 280
= 2 remainder 80
Add 0 to 80 which makes it 800
How many hundred can you get in 800
= 8 remainder 0
Bring all the quotient together
Therefore,
28/100 m = 0.28 m
16789047+65390-49532578=?
Answer:
-32678141
Step-by-step explanation:
What is the probability that you roll at least one 3 in your dice? Convert your answer to
decimal form, then round to 3 decimal places,
Answer:
0.167
Step-by-step explanation:
1 dice has 6 faces, 2 dice will have a total of 12 faces
1 dice has 1 face with a 3 on it, so 2 dices will have 2 total 3s on them.
2 /12 = 1/6 = 0.16666666666
Rounded to 3 d.p = 0.16666
= 0.167
Answered by Gauthmath
The growth rate of the sunflower from day 14 to day
35 is nearly constant. On this interval, which
of the
following equations best models
the height k in
centimeters, of the sunflower t days after it begins
to grow?
Answer:
sorry I don't know.....
Please Help I don't get this
Answer:
The choose (D)
Step-by-step explanation:
[tex] \frac{x - 16}{ {x}^{2} + 6x - 40 } + \frac{1}{x + 10} \\ = \frac{x - 16}{(x - 4)(x + 10)} + \frac{1}{x + 10} \\ = \frac{(x - 16) + (x - 4)}{(x + 10)(x - 4)} \\ = \frac{2x - 20}{(x + 10)(x - 4)} \\ = \frac{2x - 20}{ {x}^{2} + 6x - 40 } [/tex]
Product of the zeroes of polynomial 3x²-2x-4 is ? No spam ❌ Want accurate answers ✔ No spa.
full explain
9514 1404 393
Answer:
-4/3
Step-by-step explanation:
Quadratic ax² +bx +c can be written in factored form as ...
a(x -p)(x -q)
for zeros p and q. The expanded form of this is ...
ax² -a(p+q)x +apq
Then the ratio of the constant term to the leading coefficient is ...
c/a = (apq)/a = pq . . . . the product of the zeros
For your quadratic, the ratio c/a is -4/3, the product of the zeros.
_____
Additional comment
You will notice that the sum of zeros is ...
-b/a = -(-a(p+q))/a = p+q
Answer:
[tex] \green{ \boxed{ \bf \: product \: of \: the \: zeros \: = - \frac{4}{3} }}[/tex]
Step-by-step explanation:
We know that,
[tex] \sf \: if \: \alpha \: and \: \beta \: \: are \: the \: zeroes \: of \: the \: \\ \sf \: polynomial \: \: \: \pink{a {x}^{2} + bx + c }\: \: \: \: then \\ \\ \small{ \sf \: product \: of \: zeroes \: \: \: \alpha \beta = \frac{constant \: term}{coefficient \: of \: {x}^{2} } } \\ \\ \sf \implies \: \pink{ \boxed{\alpha \beta = \frac{c}{a} }}[/tex]
Given that, the polynomial is :
[tex] \bf \: 3 {x}^{2} - 2x - 4[/tex]
so,
constant term c = - 4coefficient of x^2 = 3[tex] \sf \: so \: product \: of \: zeroes \: \: = \frac{ - 4}{3} = - \frac{4}{3} [/tex]
quadrilateral abcd is symmetric with respect to the y axis. the coordinates of point a are (-2,2), and the coordinates of point c are (2, 1). if b is in the first quadrant, what are the coordinates of b?
Answer:
The coordinate of b = (2, 2)
Step-by-step explanation:
The details of the quadrilateral abcd are;
The quadrilateral is symmetric about the y-axis (the line x = 0)
The coordinates of the vertices are; a(-2, 2), c(2, 1)
The location of the vertex, b = The first quadrant
We have;
The line [tex]\overline {ab}[/tex] is perpendicular to the line [tex]\overline {bc}[/tex]
Let (x, y) represent the coordinate of the vertex b, we have;
(y - 2)/(x - (-2)) = (y - 2)/(x + 2) = -1/(y - 1)/(x - 2) = - (x - 2)/(y - 1)
(y - 2)·(y - 1) = -(x + 2)·(x - 2)
y² + x² - 3·y - 2 = 0...(1)
y² + x² = 3·y + 2
Also we have;
(y - 2)² + (x - 1)² + (y - 2)² + (x - (-2))² = (2 - 1)² + (2 - (-2))² = 17
Therefore;
2·y² + 2·x² - 8·y + 2·x + 13 = 17
2·(3·y + 2) - 8·y + 2·x + 13 = 17
Using an online tool, we have;
x = y
From equation (1), we have;
2·y² - 3·y - 2 = 0
∴ y = 2, or y = -1/2
Where y = 2, we have;
x = y = 2
Therefore, the point b = (2, 2).
Your newest coworker is not as productive as other members of your team. You and your coworkers have to work harder to make up for this.
What would you be most and least likely to do?
(A).Be patient. Give her more time to learn the job so that her productivity will increase.
(B).Ask her how the job is going. Let her know you're available if she has any questions.
(C).Give her advice and tips for how to get things done correctly and efficiently.
(D).Talk to your supervisor about the situation. Suggest that this might not be the best role for your coworker.
Answer:
(C) Give her advice and tips for how to get things done correctly and efficiently.
Explanation:
You would be most and least likely to: Provide her with suggestions and pointers on how to complete tasks correctly and efficiently.
The area CA) of a Parallelogram is found by using this formula A = BH What is the area when b is 7cm and h is 3cm?
Answer:
Area of parallelogram = 21
Step-by-step explanation:
A = BH
Plug in
A = 7×3
Solve
A = 21
The answer will be 21.
which function defines the sequence 5,8,11
Answer:
adding 3 to each number.
Step-by-step explanation:
Translate to an equation, then solve.
Nineteen less than six times a number is equal to 11 more than four times the number?
What is the number?
Answer:
15Step-by-step explanation:
Let the number is x, then we have:
6x - 19 = 4x + 116x - 4x = 11 + 192x = 30x = 15Find the area of the circle. Use 3.14 for the value of T Round your answer to the nearest tenth. Don't forget to find the radius first before finding the area.
10.2 in
Answer:
Step-by-step explanation:
r = d/2
r = 10.2/2 = 5.1
Area = pi * r^2
Area = 3.14 * 5.1^2
Area = 81.67 in^2
To the nearest 1/10, this is 81.7 in^2
Please solve this question
Answer:
Step-by-step explanation:
Answered by Gauthmath
Step-by-step explanation:
Is great than eit6of the measure of the interior angles
which is the equation of the line with slope 0 passing through the point (-1,-2)?
The answer is A.
Because it goes 2 down
Solve BCD. Round the answers to the nearest hundredth, if necessary.
Answer:
B
Step-by-step explanation:
here we use trigonometric ratio involving soh,cah,toa
For his long distance phone service, tony pays $3 monthly fees plus 11 cents per minute. Last month, Tony's long distance bill was $22.03. For how many minutes was tony billed
Answer:
173 minutes
Step-by-step explanation:
Total fees= monthly fees + $0.11(number of minutes)
$22.03= $3 +$0.11(number of minutes)
$0.11(number of minutes)
= $22.03 -$3
= $19.03
= 1903¢
11¢ (number of minutes)= 1903¢
Number of minutes
= 1903¢ ÷11¢
= 173
Thus, Tony was billed for 173 minutes.
write the point-slope form of the equation of the line through the given points (0,4) and (-5,-4)
Answer:
y - 4 = 8/5 (x - 0)
Step-by-step explanation:
first, find the slope using the points given ((0,4) and (-5,-4))
use the following formula to find the slope:
m= y2 - y1/x2 - x1
using this formula you should get the following:
m= -4-4/-5-0 = -8/-5 = 8/5
using the point (0,4) and the slope, it into the slope-point form (y-y1=m(x-x1)
the answer should be: y - 4 = 8/5(x - 0)
PLZ HELP AND EXPLAIN!! I'll give brainy
For this exponential function,
what is the output value (y),
when the input value (x) is 2?
y = 10.5x
(2, [?])
Answer:
(2,21)
Step-by-step explanation:
y = 10.5x
it says that x=2 and when you plug the 2 in the equation you would get
y = 10.5(2)
then multiply the 2 and 10.5
y=21
that is my answer
glad yo help
please help!! geometry also might ask another question in the comments so be able to answer and I’ll mark you brainliest later :)
Coordinate of D: (2, -2)
Multiply x and y by 0.5
Answer: D = (1, -1)
A cylindrical bucket is 24 cm tall and has a radius of 5 cm. Approximately, what is the
bucket's volume?
Answer: 1884 cm³
Step-by-step explanation:
cylinder volume = π · r² · h
h = height = 24 cmr = radius = 5 cmπ = pi ≈ 3.14π · r² · h = 3.14 · 5² · 24 = 3.14 · 25 · 24 = 1884 cm³
Instructions: Find the value of the trigonometric ratio. Make sure to simplify the fraction if
needed.
х
34
16
30
Answer:
cos Z = 8/17
Step-by-step explanation:
Since this is a right triangle, we can use trig functions
cos theta = opp / hyp
cos Z = 16/34
cos Z = 8/17
Which of the following statements is false?
B. A parallelogram is a rectangle.
Can someone help me solve this?
Answer:
m<c = 104°
m<d = 80°
Step-by-step explanation:
Recall: Opposite angles of a cyclic quadrilateral are supplementary. Therefore, their sum equals 180°. Thus:
m<c + 76° = 180°
m<c + 76° - 76° = 180° - 76° (subtraction property of equality)
m<c = 104°
m<d + 100° = 180°
m<d +100° - 100° = 180° - 100° (subtraction property of equality)
m<d = 80°
What is the Greatest Common Factor of thepolynomial 3x - 3y ?
Answer:
3
Step-by-step explanation:
18. If the ratio of males to females in each
of two different mathematics classes
is 5 to 4, is the ratio of males to
females still 5 to 4 if the classes were
considered as one large class instead
of two smaller classes?
Ra
Answer:
Yes, the ratio is still 5:4.
Step-by-step explanation:
If you have a class of 5 males and 4 females, both numbers can be multiplied to get an even bigger class but the same ratio.
For example:
5 x 5 = 25 males
4 x 5 = 20 females
The amount of males to females is 25:20 when simplified (divided by 5) gets you back to your ratio of 5:4. You also can't go under this because the two don't have a way to get simplified without going into decimals. And I don't think decimals are very good with the number of students.
Have a good day! :)
Find the H.C.F of 144,180,240,300
Answer:
12
Step-by-step explanation:
We are looking for the highest common factor
Breaking each term into primes
144 = 12*12 = 4*3 * 4*3 = 2*2*3*3
180 = 20 *9 = 4*5*3*3 = 2*2*3*3*5
240 = 24*10 = 4*6*2*5 = 2*2*2*3*2*5 = 2*2*2*2*3*5
300 = 30*10 = 5*6*2*5 = 5*2*3*2*5 = 2*2*3*5*5
Look for the common factor
2*2*3 = 12
What is the recursive rule for this geometric sequence? 7, 21, 63, 189,…
1. a1 = 7;an = 3 • an - 1
2. a1 = 7;an = 1/3 • an - 1
3. a1 = 3;an = 7 • an - 1
4. a1 = 21;an = 7 • an - 1
Answer:
The top choice is the answer. a1=7; an= 3*a_(n-1)
Step-by-step explanation:
Begin by finding out what the terms are multiplied by. It is a geometric sequence so multiplication is involved.
Take the 3rd term (63) and divide it by the second term.
63/21 = 3
What this means is that each term in the sequence is multiplied by 3 to get to the next term.
The first term is 7
So the answer is an = 3* a_n-1
The answer must be the top one. See if it works.
a2 = 3*a_(2 -1 )
a2 = 3 * a1
a2 = 3 * 7
a2 = 21 which it does.
What is the translation from the preimage to the image in the graph?
Answer:
(x, y ) → (x + 7, y + 5 )
Step-by-step explanation:
Consider the coordinates of R and R'
R (- 5, 0 ) and R' (2, 5 )
x- direction : - 5 → 2 is + 7 units
y- direction : 0 → 5 is + 5 units
Translation rule is (x, y ) → (x + 7, y + 5 )
HELP PLZ
Part A Translate the sentence into an expression.
2 less than 9 times h
Part B Create a scenario (word problem) using the expression above.
Part C Evaluate the expression if h is 1/3
Step-by-step explanation:
A
9×h - 2
B
the baseline of the triangle is 2 units less than 9 times the height long.
C
h = 1/3
9×1/3 - 2 = 3 - 2 = 1
