Answer:
See below.
Step-by-step explanation:
[tex]3+x=ax[/tex] (Given)
[tex]x=ax-3[/tex] (Subtracted 3 on both sides)
[tex]x-ax=-3[/tex] (Subtracted ax on both sides)
[tex]x(1-a)=-3[/tex] (Factor out x from x - ax)
[tex]x=-\frac{3}{1-a}[/tex] (Divided 1 - a on both sides)
55. (a) If alpha and beta are the roots of the equation xsquare+ px+q=0 and beta>alpha find the square of the
difference of the roots in terms of p and q.
Answer:
√(p²-4q)
Step-by-step explanation:
Using the Quadratic Formula, we can say that
x = ( -p ± √(p²-4(1)(q))) / 2(1) with the 1 representing the coefficient of x². Simplifying, we get
x = ( -p ± √(p²-4q)) / 2
The roots of the function are therefore at
x = ( -p + √(p²-4q)) / 2 and x = ( -p - √(p²-4q)) / 2. The difference of the roots is thus
( -p + √(p²-4q)) / 2 - ( ( -p - √(p²-4q)) / 2)
= 0 + 2 √(p²-4q)/2
= √(p²-4q)
Divide : 12a²b³ 6a²b by 3ab
Answer:
easy
Step-by-step explanation:
4ab³6a²b
Answer:
[tex] \frac{12 {a}^{2} {b}^{3} 6 {a}^{2}b }{3ab} \\ thank \: you[/tex]
if A ={1,2,3,4} and B={3,4,5,6} find A-B.
Answer: {1,2} is the answer.
Step-by-step explanation:
A-B
{1,2,3,4}-{3,4,5,6)
= {1,2}
Please someone explain
Triangles and angles
X=______ degrees
X 48
96
Exterior Angle property = sum of interior opposite angle is equal to the exterior Angle
x= 48+96
x= 144°
Answer:
144°
Step-by-step explanation:
x is an exterior angle of the triangle.
Angles 96° and 48° are interior angles of the triangle that are not adjacent to angle x. Angles 96° and 48° are called the "remote interior angles" of exterior angle x.
Theorem:
The measure of an exterior angle of a triangle is equal to the sum of the measures of the remote interior angles.
x = 48 + 96
x = 144
Answer: 144°
Can someone help me on these ones. PLEASE HELP ME !!
[tex]\huge\blue{ANSWER}:—[/tex]
Plz mark me as brainliest as I have solve all the questions for you
Answer:1 : x is 95/3
4 x is -32/10
7 b is 6
10 x is 20/7
13 x is 9/2
Step-by-step explanation:
f(x)=-5x-4 and g(x)= -3x-2, find (f-g)(x)
Answer:
Step-by-step explanation:
(-5x-4)-(-3x-2)
-5x-4+3x+2
-2x-2
-2(x+1)
A. Determine if a given set ie a well-defined or not.
1. the set of all poor people in batangas.
2. the set of books well-liked by my classmate.
3. the set of handsome teachers in your school.
4. the set of whole numbers greater than 8 but less than 20.
5. the set of intelligent students.
Answer:
Step-by-step explanation:
1. yes
2. No
3. No
4. Yes
5. I have no idea about this one, but I think its not a well defined set
please help me, just give me the answers, my teacher likes it simple so just give me the answers pleease!!!
Answer:
1. Ans;
[tex] \frac{1}{3} \times 1 \frac{1}{3} = \frac{1}{3} \times \frac{4}{3} = \frac{4}{9} = 0.4 [/tex]
2. Ans ;
[tex]1 \frac{1}{5} \times \frac{3}{4} = \frac{6}{5} \times \frac{3}{4} = \frac{9}{10} = 0.9[/tex]
3. Ans ;
[tex] \frac{2}{3} \times 1 \frac{3}{5} = \frac{2}{3} \times \frac{8}{5} = \frac{16}{15} = 1 \frac{1}{15} = 1.06[/tex]
4. Ans ;
[tex]2 \frac{1}{2} \times 1 \frac{1}{3} = \frac{5}{2} \times \frac{4}{3} = \frac{10}{3} = 3 \frac{1}{3} = 3.3[/tex]
5. Ans ;
[tex]2 \frac{1}{2} \div \frac{4}{5} = \frac{5}{2} \div \frac{4}{5} = \frac{5}{2} \times \frac{5}{4} = \frac{25}{8} = 3 \frac{1}{8} = 3.125[/tex]
6. Ans ;
[tex]9 \div 1 \frac{1}{9} = 9 \div \frac{10}{9} = 9 \times \frac{9}{10} = \frac{81}{10} = 8 \frac{1}{10} = 8.1[/tex]
7. Ans ;
[tex]2 \frac{1}{2} \div 3 \frac{1}{3} = \frac{5}{2} \div \frac{10}{3} = \frac{5}{2} \times \frac{3}{10} = \frac{3}{4} = 0.75[/tex]
8. Ans ;
[tex]7 \frac{1}{2} \div 1 \frac{2}{3} = \frac{15}{2} \div \frac{5}{3} = \frac{15}{2} \times \frac{3}{5} = \frac{9}{2} = 4 \frac{1}{2} = 4.5[/tex]
I hope I helped you^_^
(24 ÷ 6 - 2 + 5 × 3 × (-1 - 3) ÷ 4)^2 How do you solve this? Help me I need this ASAP!!
Answer:
169
Step-by-step explanation:
PEMDAS
Parenthesis first
Add -1 and -3 which is -4
Divide 24 by 6 which is 4
(4-2+5*3*-4÷4)^2
(4-2-15)^2
(2-15)^2
(-13)^2
Which is 169
Martha and Bob went running. They started down the path at 3:25 P.M. When they finished running it was 4:30 P.M. How long did the run take?
Answer:
1 hour and 5 minutes, or 65 minutes.
Step-by-step explanation:
Let's suppose 3:25 was 3:30 by rounding up 5 minutes, to make life easier. In one hour, it would be 4:30, which is when Martha and Bob finished running. So we know that between 3:25 and 4:30, they at least ran one hour. Now, since we rounded up 5 minutes, we have to add that too to make our final running time for them, 1 hour and 5 minutes. Hope this helped!
Hello, have anyone can help me to solve this question?
Answer:
24 days LCM
prime factor :
4- 2, 2
8-2,2,2
12- 2,2,3
largest factors- 2,2,2,3
2*2*2*3 = 24
Step-by-step explanation:
3.
In each box there are 22 eggs. How many eggs do I have if I have 12 boxes?
what is the answer ，and how do you solve it .please help
Answer:
10
Step-by-step explanation:
2000/ 2x = 10
Multiply each side by 2x
2000/ 2x = 10 *2x
2000 = 20x
Divide by 20
2000/20 = 20x/20
100 = x
Take the square root of each side
sqrt(100) = sqrt(x)
10 = sqrt(x)
HELP ASAP!!!!! Which statement is not always true for a parallelogram?
Answer:
D
Step-by-step explanation:
The consecutive angles in a parallelogram are supplementary.
Thus statement D is not always true.
(x-5)^2 - (x+1)^2+ (x+3)*(x-3)
Step-by-step explanation:
here's the answer to your question
You flip a coin and roll a six-sided die. What is the
probability of flipping heads and rolling a number greater
than or equal to 5?
Answer:
The probability of flipping heads is 1/2
The probability of rolling 5 or more is 1/3.
So the total probability is 1/2 x 1/3 , which is 1/6.
Let me know if this helps!
Answer:
1/6
Step-by-step explanation:
The probability of flipping heads is 1/2
The probability of rolling 5 or more is 1/3.
So the total probability is 1/2 x 1/3 , which is 1/6.
Ellie wants to double her savings
of $5000 by investing her money
for 20 years.
What interest rate does
she need to look for?
Give your answer to 1 d.p.
Answer: Interest rate she needs to look for is 5%
Step-by-step explanation:
P = 5000
A = 5000*2 = 10,000
T = 20 yrs
R = ?
now
I = A-P
I = 10,000-5000
I = 5000
Now
R = 100*I/P*T
R = 100*5000/5000*20
so, R = 5%
Solve for x.
X-4 = 8
*
3
Answer:
The answer is X=28.
Question 9 (5 points)
3
6
9
--
What's the approximate measure of one interior angle of the regular polygon shown?
12
A) 1,620°
>
15
B) 220°
C) 2.7°
18
D) 147.3°
Answer:
147.3
Step-by-step explanation:
this is an hendecagon there is 11 sides the total interior measure is 1,620 if you divide that by each side which would be 11 you get 147.272727 which would ultimately round up to be 147.3
Carrie rolls two 1-6 number cubes. How many outcomes are possible?
Answer:
36
Step-by-step explanation:
The first dies has 6 possible outcomes
1,2,3,4,5,6
The second die has 6 possible outcomes
1,2,3,4,5,6
6*6 = 36
There are 36 outcomes
First Sample space
[tex]\\ \sf\longmapsto S=\left\{1,2,3,4,5,6\right\}[/tex]
[tex]\\ \sf\longmapsto |S|=6[/tex]
Now There are two cubes mean n=2
[tex]\\ \sf\longmapsto |S|^n[/tex]
[tex]\\ \sf\longmapsto 6^2[/tex]
[tex]\\ \sf\longmapsto 36[/tex]
GIVING BRAINLY TO CORRECT ANSWER!!
Answer:
7/0
Step-by-step explanation:
7/0 = 7
A rational number is written in the form of p/q, where q is not equal to zero. Therefore it is not a rational number.
I hope this answer helps you out! Brainliest would be appreciated :)Answer:
7/0
Step-by-step explanation:
a irrational can not be written as a fraction
by selling an article sonu makes a profit of 20%. if the cp decreased by 10% and sp also increased by 10%,calculate her profit percentage
Answer:
37.8 %
Step-by-step explanation:
Let CP = 100
[tex]SP =\frac{100+profit}{100}*CP\\\\=\frac{120}{100}*100[/tex]
SP = 120
New CP:
CP decreased by 10%
[tex]Decreased \ amount=\frac{10}{100}*CP\\\\=\frac{10}{100}*100[/tex]
= 10
New CP = 100- 10 = 90
New SP:
SP increased by 10%
Increase amount = [tex]\frac{10}{100}*old \ SP[/tex]
[tex]= \frac{10}{100}*120\\\\= 12[/tex]
New SP = 120 + 12 = 132
Profit = new SP - new CP
= 132 - 90 = 42
Profit percentage = [tex]\frac{Profit}{CP}*100[/tex]
[tex]= \frac{42}{90}*100\\[/tex]
= 46.67%
Step-by-step explanation:
Here your ans..
HOPE IT HELPS YOU.....
PLEASE MARK ME BRAINLIST.....given graph of the function F(x) below, what happens to F(x) when x is a very large positive number?
Answer:
C
Step-by-step explanation:
The rules for two lines are y=x+2 and y=5 - 2x. At what point do they intersect?
Answer:
(1,3)
Step-by-step explanation:
SEE THE IMAGE FOR SOLUTION
HOPE IT HELPS
HAVE A GREAT DAY
Help me you guys! it's important!
Answer:
hey mate
surface area of cuboid is 2(lh+bh+hl)
doing for first cuboid
h = 20
l = 6
b = 5
surface area for this cuboid on calculating u get 500 sq.cm
now
second cuboid
h = 12
l = 6
b = 4
calculaye it by formula and u get 288 sq.cm
so total surface area is 500 + 288 = 788 but in this one side is getting counted 2 times which is rectangle with length 6 and 12 so it's area is 12×6 = 72
final ans = 788-72 = 716 cm2
as per me that's ans
brinliest pls
HELP PLEASE!!
Which best describes the relationship between the lines
with equations -3x – 4y = 1 and -6x – 8y = 2?
A. Perpendicular
B. Neither perpendicular or parallel
C. Parallel
D. Same line
Answer:
same line
Step-by-step explanation:
its the exact same equation, but the second is multiplied by 2
Question 22 of 25
Use completing the square to solve this quadratic equation.
Check all that apply.
X^2-10x+25=2
Answer:
A and B
Step-by-step explanation:
Please let me know if you want an explanation for why this is the answer (comment on this answer). A lot of people don't actually read the explanations, so I wouldn't want to waste my time. However, if you would like it I would be more than happy to type one out for you. Thanks!
Which number is closest to sqrt(10). A)3.1 B)4.3 C)3.6 D)2.8
Answer:
A
Step-by-step explanation:
sqrt(10)=3.2 (rounded to the nearest tenth). 3.2 is closer to 3.1 than 3.6 .
Answer:
Hello,
Answer 3.1
Step-by-step explanation:
Let's calculate the square of each positive number
since a <b <==> a² < b²
[tex](\sqrt{10}) ^2=10\\\\3.1^2=9,61\\|10-9.61|=0,39\\4.3^2=18,49\\|10-18.49|=8,49\\3.6^2=12,96\\|10-12.96|=2,96\\\\2.8^2=7,84\\|10-7.84|=2,16\\\\0.39 < 2.16 < 2.96 <8.49\\Answer: 3.1[/tex]
the sum of two resistors in 750 ohms. One is 6.5 times the other. Find the size of each resistor in ohms.
Answer:
r = 100
6.5r = 650
Step-by-step explanation:
let r be resistors.
6.5r + r = 750
Simplify:
6.5r + r = 750
7.5r = 750
------ ------
7.5 7.5
r = 100
100 × 6.5 = 650
One resistor is 100 ohms, and he other is 650 ohms.
Hope this helped.
The sum of two resistors in 750 ohms. One is 6.5 times the other. Find the size of each resistor in ohms.
S O L U T I O N :According to the question, here we need to take a variable to find the size of each resistor then multiply 6.5 with the variable with the first one. For the second there is no change in the variable. Then adding them we get 750 ohms. Simplifying we get their respective size
Let us assume the other resistor's size be x
Here,
The First resistor's size is 6.5 times the other. Hence, the no. is 6.5x
Given that : the sum of two resistors in 750 ohms
1st Resistor + 2nd Resistor = 750 ohms 6.5x + x = 750 ohms7.5x = 750 ohms x = 750/7.5 ohms x = 100 ohmsFINDING SIZE :
First Resistor's Size = 6.5x = 6.5*100 = 650 ohms
Other Resistor's Size = x = 100 ohms
_________________________________[Note : Symbol of ohm is Ω]
PLEASE HELP ME!!! It’s due before 7pm
Step-by-step explanation:
Solution:Total length of the board=95 cm
:One piece must longer 13 cm than other piece
Equation:95cm=X+X+13cm
:95cm-13cm=2x
:82cm=2x
:X=41 cm-Length of the smaller piece
:X=41cm +13cm=54cm-Length of the larger piece
Therefore the length of the smaller piece is 41cm and the length of the larger piece is 54cm.
