Answer:
younger sibling = 29 years
older sibling = 35 years
Step-by-step explanation:
Let
x = younger sibling
y = older sibling
x + y = 64 (1)
The older sibling was born 6 years before their young sibling
x = y - 6 (2)
Substitute x = y - 6 into (1)
x + y = 64
y - 6 + y = 64
2y = 64 + 6
2y = 70
y = 70/2
y = 35 years
Substitute y = 35 into (2)
x = y - 6
x = 35 - 6
x = 29 years
Given a polynomial and one of its factors, find the remaining factors of the polynomial. x^4 + 2x^3 – 8x – 16; x + 2
Answer:
The other factors are: [tex](x-2)[/tex] and [tex](x^2+2x+4)[/tex]
Step-by-step explanation:
Given
Polynomial: [tex]x^4 + 2x^3 - 8x - 16[/tex]
Factor: [tex]x + 2[/tex]
Required
Find other factors
[tex]x^4 + 2x^3 - 8x - 16[/tex]
Group into two
[tex]x^4 + 2x^3 - 8x - 16 = (x^4 + 2x^3) - (8x + 16)[/tex]
Factorize:
[tex]x^4 + 2x^3 - 8x - 16 = x^3(x + 2) -8 (x + 2)[/tex]
Factor out common term
[tex]x^4 + 2x^3 - 8x - 16 = (x^3 -8)(x + 2)[/tex]
Rewrite [tex]x^3- 8[/tex] as [tex]x^3 + 2x^2 - 2x^2+ 4x - 4x - 8[/tex]
[tex]x^4 + 2x^3 - 8x - 16 = (x^3 + 2x^2 - 2x^2+ 4x - 4x - 8)(x + 2)[/tex]
Rearrange the terms
[tex]x^4 + 2x^3 - 8x - 16 = (x^3 + 2x^2 + 4x - 2x^2 - 4x - 8)(x + 2)[/tex]
Factorize
[tex]x^4 + 2x^3 - 8x - 16 = (x(x^2+2x+4)-2(x^2+2x+4))(x + 2)[/tex]
Factor out [tex](x^2+2x+4)[/tex]
[tex]x^4 + 2x^3 - 8x - 16 = (x-2)(x^2+2x+4)(x + 2)[/tex]
So, the other factors are: [tex](x-2)[/tex] and [tex](x^2+2x+4)[/tex]
which of these points lies on the line described by the equation below?
y - 5 = 6 ( x - 7 )
A. ( 7, 5 )
B. ( -7, -5)
C. ( -5, -7 )
D. ( 5, 7)
Answer:
A. (7, 5)
Step-by-step explanation:
Plug each set into line equation, and A. is the only one that makes both sides equal.
5 - 5 = 6 (7 - 7)
0 = 0
Can I get some help please, hurry!!???!!??
Answer:
BM = 9.5
Step-by-step explanation:
4.4x2.5=11
so
3.8x2.5=9.5
20 points . I need help with this.
Answer:
1) 117
2) 51
3) congruent
4) to each other
Step-by-step explanation:
Five thousand two and five hundred twenty-three millionths in decimal form
Answer:
5,002.0523
Step-by-step explanation:
Hope this helps!
Question 10 of 10 Which choices are equivalent to the quotient below? Check all that apply. 16 A. 2 B. 2 millel C. VE D. 2 O E. సుత మన నదు OF.
Answer:
B
Step-by-step explanation:
Okay pls help and as always don't answer if you don't know and if you want points then tell me in the COMMENTS and I'll be happy to make a thing just for u!!!♥️ Thanks luv u!!
It would be nice if you did all of them thanks:(
Answer:
The answer would be 3 m.
Step-by-step explanation:
Answer:
1. A, 3 m
2. B, 60 cm^2
3. C, 31.8 ft
4. D, A = 34.96 cm^2 ,P = 26.6 cm
5. C, 9 f
Sorry if anythings wrong it's been awhile since I did this.
Martin charges $10 for every 5 bags of leaves he rakes. Last weekend, he raked 24 bags of leaves. How much money did he earn?
Answer:
Solution:
24 divided by 5 = 4.8
round 4.8 down to 4
10 times 4 = 40
Martin earned 40 dollars.
Step-by-step explanation:
Hope this helped!
Answer:
Martin earn $48
Step-by-step explanation:
24/5 = 4.8
4.8 x 10 = 48
So Martin earn $48
Please help...it due ASAP
Show workings please
Answer:
36.5 i believe.
Step-by-step explanation:
you divide 986 by 27 and it equals 36.5.
hope you get it right!
if this is wrong then you can report me i guess. ='(
Find AE if AB=12, AC=16, and ED=5.
Answer:
the ratio is 12:16=3/4
So AE:5+AE=3/4
4AE=15+3AE
AE=15
Step-by-step explanation:
The length of the line segment AE is 15 units.
What is a triangle?A triangle is a three-sided closed-plane figure formed by joining three noncolinear points.
Based on the side property triangles are of three types they are Equilateral triangle, Scalene triangle, and Isosceles triangle.
We know, In a triangle if one segment is parallel to one side of a triangle divides the other two sides in the ratio of their corresponding lengths.
Given, AB = 12, AC = 16 and ED = 5, hence BC = AC - AB = 4.
Therefore, AB/BC = AE/ED.
12/4 = AE/5.
4AE = 60.
AE = 15 units.
learn more about triangles here :
https://brainly.com/question/2773823
#SPJ2
Applying the Quotient of Powers Rule
What is the quotient?
- Ο Ο Ο Ο
a o 0 0 0
78
A national park has two types of bears: Grizzly bears and black bears. A sciantist has reported 9 out of 12 bears she tagged are black bears. Show a model that compares the number of black bears tagged to the number of grizzly bear?
Answer:
Z = 0.75x + 0.25y
Step-by-step explanation:
Two bear types are identified :
Black bears and Grizzly bears
9 out of 12 = black bears ; Hence, 3 are grizzled
For the model:
For a bear population of Number x
Total bear population = black bear, x + grizzled bear, y
Proportion of black bear = 9/ 12 = 0.75
Grizzled bear = 1 - 0.75 = 0.25
Total bear population , Z= 0.75x + 0.25y
Hence,
Z = 0.75x + 0.25y
(102-38) x 14+7+162=
Answer:
=64x^14+169
Step-by-step explanation:
happy to help ya :)
A train covers a distance of 51 km in 45 minutes. How long will it take to cover 221 km?
Answer:
A train covers a distance of 51km in 45 minutes how long will it take to cover 221km. :. Total time it will take to cover 221 km= 195 minutes i.e. 3 hours 15 minutes. Hope it helps
Cassie Goes to Buffalo Wild Wings with her 2 sister. It is her turn to pay for dinner. Because she is more generous than her sister, she decides to give a 25% tip to their sever. If in total she paid $70.15, what was the price of the food and drinks only?
Answer:
The price of food and drinks only is: 52.61
Step-by-step explanation:
I did the simple cross multiply divide
multiply 70.15 by 25 round to nearest tenth (since it is money) giving you17.54 then subtract 17.54 from 70.15 giving you 52.61.
MAKE ME BRAINLIST PLZ and thank you
PLS HELP WILL GIVE BRAINLIEST!
if the diameter of a circle changes from 8 cm to 4 cm, how will the circumfrence change?
A.) multiplies by 1/2
B.) multiplies by 2
C.) increases by 6
D.) decreases by 6
solve for x
(20 points)
Answer:
x=14
Step-by-step explanation:
Place the following numbers in order from largest to smallest.
Answer:
D
Step-by-step explanation:
pi = 3.14 --> round pi to 3 --> pi/2 = 1.5 --> pi^2 = 9
6 > sqrt(28) > 5
4> \sqrt[3]{28\\} > 3
Thus D
Michael has $1,017.59 in his checking account. He is going to spend $540.68 on a new television, and he will spend the rest on
speakers that cost $41.00 each. Which of the following inequalities would determine the maximum number of speakers, x, Michael
can buy without spending more money than he has in his account?
A. $1,017.59 < $41.00x + $1,017.59
B. $1,017.59 + $540.68 > $41.00 +X
C. $41.00x + $540.68 < $1,017.59
D. $540.68 + $41.00 + x < $1,017.59
Answer: B
Step-by-step explanation:
Diego took a survey to find out how many students plan to go to a school band concert. There are more than 1,000 students in his school. He selected a sample by asking the first 50 students he met at band practice.
Answer: N/A
Step-by-step explanation: We need more info to solve this problem
Answer:
The one above is wrong
The actual answers are A and D
each side of a triangle is nine inches long. find the perimeter
The triangle in which the side are nine inches long has a perimeter of 27 inches.
Perimeter of a triangle
The perimeter of a triangle is the sum of the length of the whole side.
The triangle have three sides and the perimeter is the sum of the whole sides.
According to the question, the triangle has the whole sides as 9 inches.
This means the triangle is an equilateral triangle.
Therefore,
length of side = 9 inches
perimeter = 9 + 9 + 9
perimeter = 27 inches
learn more on triangle here:https://brainly.com/question/19976393
a farmer has enough food to feed 50 animals in his cattle for 15 days . how long will the food last if there are 25 more animals in his cattle?
Answer: 22.5 days
15 days = 50 animals
? = 25 animals
1/2 times 15 = 25 animals
7.5 days = 25 animals
15+7.5 = 22.5
Step-by-step explanation:
please help me with this math
Answer:
C. Aka z = -3.Step-by-step explanation:
Subtract 7 from both sides.
We have:
-3z-4z=21
So:
-7z=21
21/-7 = -3
The answer is C.
kk my baby bro needs help it math 7th grade
0.4(3.21x+5.6)
Answer:
1.284x + 2.24 is the answer.
Step-by-step explanation:
Simply, all we have to do is distribute the 0.4 to the 3.21x and the 5.6.
(0.4 × 3.21x) + (0.4 × 5.6)
= 1.284x + 2.24
#teamtrees #WAP (Water And Plant)
Answer: = 1.284x + 2.24
explanation: This question is easily solved through the process of distribution.
(0.4 × 3.21x) + (0.4 × 5.6) = 1.284x + 2.24
Sorry for the late answer hope this helped!
Plz help me plzzzzzzzzz
D. (-4, -1)
May Nilbin be with you
Answer:
c
Step-by-step explanation:
x axis comes first so it's -1 then the y Axis witch is -4 so it's (-1,-4) C
For what values of x is the expression below defined?
2x2 + 5x
Answer:
9
Step-by-step explanation:
Please help. its not hard
Answer:
Tbh Im not sure
Step-by-step explanation:
Answer:
I think the answer is 1/2 (x^2 + 11x + 30) but see the discussion below.
Step-by-step explanation:
I can hardly read the signs between the dimensions. This is my best guess.
Area Shaded = Area Rectangle - Area Triangle
Area Rectangle = (x + 5)(x + 6)
Area Triangle = 1/2 (x + 5 ) ( x + 6)
Area shaded = (x + 5)(x+6) - 1/2 (x + 5)(x + 6)
Area shaded = 1/2 (x + 5)(x + 6)
Area Shaded = 1/2 (x^2 + 11x + 30)
If the second factor (x + 6) is really x - 6 then the area of the shaded area is 1/2 (x+5)(x - 6)
Area Shaded = 1/2 * (x^2 - x - 30)
PLEASEEEEEEEEEEEEEEEEEE HELP MEEEEE
Which is NOT a correct way to describe the function {(-3, 2), (1,8), (-1, 5), (3, 11)
Answer:
G
Step-by-step explanation:
The graph appears to have function inputs and outputs reversed. The other representations are correct.
I need help please, its super urgent.