Answer:
[tex]\huge\boxed{(i)\ x=-3\ \vee\ x=4}\\\boxed{(ii)\ x=1.5\ \vee\ x=1}[/tex]
Step-by-step explanation:
We have the product of two expressions. The product is equal to 0 if and only if one of the factors is equal to 0.
Therefore
[tex](i)\\(x+3)(x-4)=0\iff x+3=0\ \vee\ x-4=0\\\\\boxed{x=-3\ \vee\ x=4}\\\\(ii)\\(2x-3)(x-1)=0\iff2x-3=0\ \vee\ x-1=0\\\\\boxed{x=1.5\ \vee\ x=1}[/tex]
PLEASE HELP ASAP!!
If f(x) = 2x+3 and g(x) = x^2+x/2 - 7 then find (f+g)(x)
Answer:
x2+5x/2 -4
Step-by-step explanation:
f(x) = 2x+3 and g(x) = x^(2)+(x)/(2) - 7 , what is (f+g)(x)
x^2+5x/2-4
Circle C is shown. Secants U W and Y W intersect at point W outside of the circle. Secant U W intersect the circle at point V and secant Y W intersects the circle at point X.
In the diagram of circle C, m∠VWX is 43°. What is mArc V X?
39°
41°
78°
82°
Answer:
78
Step-by-step explanation:
ur boi got it right
PLEAE ANS IT FAST PLESE
Answer:
[tex] \frac{2}{ {x - 1}^{2} } - \frac{1}{x + 1} - \frac{1}{x + 1} = 0[/tex]
[tex] \frac{2}{(x + 1)(x - 1)} - \frac{1}{x + 1} - \frac{1}{x + 1} = 0[/tex]
[tex] \frac{2}{(x + 1)(x - 1)} - \frac{2}{x + 1} = 0[/tex]
[tex] \frac{2 - 2(x - 1)}{(x + 1)(x - 1)} = 0[/tex]
[tex] \frac{2 - 2x + 2}{(x + 1)(x - 1)} = 0[/tex]
[tex] \frac{4 - 2x}{(x + 1)(x - 1)} = 0[/tex]
[tex]4 - 2x = 0(x + 1)(x - 1)[/tex]
[tex]4 - 2x = 0[/tex]
[tex] - 2x = - 4[/tex]
[tex]x = \frac{ - 4}{ - 2} [/tex]
[tex]x = 2[/tex]
Answer:2
Step-by-step explanation: i willn ot provide step by step cuz its a waste of my time becasue it is easer to just give the anwser althou i know it will not help you learn but it faster lets not lie we all just using this to anwser test/quiz questions
Please help.! Which of the following show an element of the sample space for first shooting a basketball and then rolling a die? (X = Make, O = Miss)
Check all that apply.
O A. X1
O B. 06
O C. 2x
O D. X6
O E. X7
O F. XH
Answer:
A, B, and D
Step-by-step explanation:
E is discarded, since the number 7 does not exist on a die.
F is discarded because there are no letters in a die
C is discarded because the elements are placed backwards
Answer:A
Step-by-step explanation:
What is the solutions of x2 = –5x + 8?
Answer:
[tex]x=\sqrt{14.25} -2.5, x=-\sqrt{14.25}-2.5[/tex]
Step-by-step explanation:
Since moving it to one side can't be factored, I'm going to complete the square.
[tex]x^2+5x=8[/tex]
[tex]x^2+5x+6.25=8+6.25[/tex]
[tex](x+2.5)^2=14.25[/tex]
[tex]x+2.5=\sqrt{14.25}[/tex]
[tex]x=\sqrt{14.25} -2.5, x=-\sqrt{14.25}-2.5[/tex]
ZDAC
ZBAD.
What is the length of AC?
Round to one decimal place.
URGENT I NEED HELP WILL REWARD 5 stars
Answer:
7.3
Step-by-step explanation:
right for me on Khan
Drag each equation to show if it could be a correct first step to solving the equation
4(3 + x)=36
4(3+x)=144
(4•3)+(4•x)=36
12+4x=36
12+x=36
3+4x=36
3+x=9
Yes,no,not enough
Answer:
x=6
Step-by-step explanation:
4(3+x)=36
12+4x=36
4x=36-12
4x=24
x=6
Proof: 4(3+x)=36
4(3+6)=36
12+24=36
36=36
Hope it helps
Answer:
yw
Step-by-step explanation:
why are parallel lines considered to be parallel ? explain
Answer:It is what it is
Step-by-step explanation:
Answer:
Parallel lines do not intersect.
Parallel lines are like an equal sign
========================
They go Straight across
While perpendicular lines intersect.
A lot of squares are parallelograms, they only have parallel lines.
Hope this helps
~ヾ(・ω・)
I. Work out the following Questions clearly and neatly
1 In a trapezium ABCD, where AB=10cm, AD=13cm, BC=15cm and the
altitude is 12cm, then find
the length of CD
b. the perimeter of the trapezium
the area of the trapezium
2. In a rectangular prism where length, width and height respectively
are 7cm, 5cm and 10cm. Then calculate the following
a perimeter of the upper base.
b. the sum of the perimeters of the bases.
c. the area of the lower base.
d. the sum of the areas of the bases.
e. the area of one of the larger lateral faces.
f. the area of one of the smaller lateral faces.
g. the areas of the lateral faces(AL).
h. the total surface areas of the prism(AT).
i. the volume of the prism.
If a regular polygon has ten sides, then find
number of diagonals formed from one vertex.
b. number of triangles formed.
C. number of diagonals formed from each vertex.
d. sum of all interior angles.
e. what is the name of the polygon.
Answer:
the rent and I have a great day of school and I have a great day of school and I have a great day of school and I have a great day of school and I have a great day of school and I have a great day of school
What is the value of S, for ΣΒ(2) -
=1
Ο 43
84
90
ΘΕ
Answer:
Option (3)
Step-by-step explanation:
Given expression in this question represents the partial sum of an infinite geometric series in the sigma notation.
[tex]S_{n}=\sum_{n=1}^{\infty}6(2)^{n-1}[/tex]
First term of this series 'a' = 6
Common ratio 'r' = 2
We have to find the sum of 4 terms of this infinite series (n = 4).
Sum of n terms of a geometric series is,
[tex]S_n=\frac{a(r^n-1)}{(r-1)}[/tex]
[tex]S_4=\frac{6(2^4-1)}{(2-1)}[/tex]
[tex]=\frac{6(16-1)}{(1)}[/tex]
[tex]=90[/tex]
Therefore, sum of 4 terms of the given series will be 90.
Option (3) will be the answer.
1. A population of lab rats is going to be increased by 3 rats a month. If it costs $3.50 to
care for each rat a month and there were 2 rats to begin with in the lab. (Assume all
rats survive lab work)
a. Create a formula that would represent the population of lab rats in month n.
b. How much will the lab be paying for the rats after 10 months?
C. After how many years will the lab rats population reach 326?
Answer:
a. p(n) = 3n -1
b. $101.50
c. 9 years
Step-by-step explanation:
a. The number of rats in any given month is an arithmetic sequence with first term 2 and common difference 3:
for months 1, 2, 3, 4, the rat population is 2, 5, 8, 11.
The usual formula for the n-th term of an arithmetic sequence applies:
a[n] = a[1] +d(n -1)
a[n] = 2 +3(n -1) = 3n -1
In month n, the population of lab rats is ...
p(n) = 3n -1
__
b. After 10 months, the population will be ...
p(10) = 3·10 -1 = 29
At $3.50 per rat, the cost will be ...
29 · $3.50 = $101.50
__
c. We want to find for p(n) = 326.
326 = 3n -1
327 = 3n
109 = n
Month 109 is 108 months (9 years) after month 1. The population will reach 326 rats in 9 years.
Solve application using algebra. Write your equation or inequality and show your solving steps. The sum of 3 consecutive integers is 147. Find the 3 integers.
Answer:
Integers are 48, 49, 50
Step-by-step explanation:
x+(x+1)+(x+2) = 147
3x + 3 = 147
3x = 147-3
x = 144 / 3 = 48
Which is the best estimate for the percentage of the attendance at Yamabushi Club being women? HHHHHHHHHEEEEEEEEEEEEEELLLLLLLLLPPPPPPPPP
Answer: D
Step-by-step explanation:
The woman slice is less than half, greater than a quarter, and just over 1/3. Since 1/3 is about 33%, I would say 35% (D).
Help help help please urgent ❤️
Answer:
5565
Step-by-step explanation:
5565
intuitively i think its 5565 ;)
How many units long is a segment whose endpoints are (2,3) and (7,15)?
Answer:
13 units
Step-by-step explanation:
Distance formula: [tex]d = \sqrt{(x2-x1)^2 + (y2-y1)^2}[/tex]
Simply plug in your variables
[tex]d = \sqrt{(7-2)^2 + (15-3)^2}[/tex]
[tex]d = \sqrt{5^2 + 12^2}[/tex]
[tex]d = \sqrt{25 + 144}[/tex]
[tex]d = \sqrt{169}[/tex]
d = 13
How many times can 13 go into 22
Answer:
1 time.
Step-by-step explanation:
1 time.
13 x 1 =13.
13 x 2 = 26.
22<26.
Therefore, 1 time.
Answer:
yes the answer above me is correct
Step-by-step explanation:
only one time
because it has no multipule with 22
Point
A class voted for either rollerblading, swimming, or biking as their favorite
summer activity. If rollerblading got 10% percent of the vote and biking got
35%, what percentage of the class voted for swimming?
Help plz
55%
Step-by-step explanation:
percentage of swimming
10%+35%=45%
100%-45%=55%
TRUE OR FALSE? The equation of a line with slope m = -3 and including point (5, 5) is y = -3x + 20.
Answer:
True.
Step-by-step explanation:
y = -3x + 20
Put x as 5, then y output should be 5.
y = -3(5) + 20
y = -15 + 20
y = 5
True, the line with slope -3 passes through points (5, 5).
Which graph represents the function r(x) = |x – 2| – 1
Answer:
picture?
Step-by-step explanation:
Answer:
Which graph represents the function r(x) = |x – 2| – 1
- The first graph
Step-by-step explanation:
To make a batch of four dozen cookies, Denis needs 1 3/4 cups of four, 1 cup of sugar, and 1/3 cup of milk. Calculate the amount of each ingredient that Denis needs to make 12 dozen cookies
Answer:
Flour = 5 1/4 Cups
Sugar = 3 Cups
Milk = 1 Cup
Step-by-step explanation:
4 Dozens = Respectively 1 3/4, 1, and 1/3 Cups -->
4(3) = 12 Dozens --> Otherwise A Gross
--> Multiply the formula by 3
7/4 x 3 = 21/4
1 x 3 = 3
1/3 x 3 = 1
Convert to a mixed number
Thus You have your answers
Hope this helps!
Which situation is best modeled by the equation 11 + x=28
Answer:
1
Step-by-step explanation:
First off since it is equal to 28, it means the equation is trying to add numbers that equal to 28
Secondly, the 11 is not linked to a variable like 11y or 11b etc. It means the 11 stays put, no situation is changing that 11 number.
The x is what can be changed, hence referred to as variable. That is some amount that needs to be spent so in addition with 11, it totals to 28
Answer:
The first choice
Step-by-step explanation:
5.
Statements
Reasons
Given
AC bisects ZBCD
8
DC I AD
Given
Given:
ВСІ АВ
Given
AC bisects ZBCD
DC 1 AD
BC 1 AB
Right angles are:
Prove:
AC = AC
BC=DC
I
Answer:
Step-by-step explanation:
Given: AC is a bisector of ∠BCD
DC ⊥ AD
BC ⊥ AB
To prove : BC ≅ Dc
Statements Reasons
1). AC bisects ∠BCD 1). Given
2)∠ACB ≅ ∠ACD 2). AC is a bisector of ∠BCD
3). DC ⊥ AD 3). Given
4). m∠ADC = 90° 4). DC is perpendicular to AD
5). BC ⊥ AB 5). Given
6). m∠ABC = 90° 6). BC is perpendicular to AB
7). ∠ABC ≅ ∠ADC 7). Right angles are congruent
8). AC ≅ AC 8). Reflexive property
9). ΔABC ≅ ΔADC 9). AL property of congruence
10). BC ≅ DC 10). CPCTC
What is the midpoint of the segment shown below ?
Hey there! :)
Answer:
(5, 1/2)
Step-by-step explanation:
Recall that the midpoint formula is:
[tex](x_m, y_m) = (\frac{x_1+x_2}{2}, \frac{y_1+y_2}{2})[/tex]
Plug in the point values to solve for the midpoint:
[tex](\frac{5+5}{2}, \frac{-3+4}{2} )[/tex]
Simplify:
[tex](\frac{10}{2}, \frac{1}{2})[/tex]
(5, 1/2) is the midpoint.
Answer:
Midpoint: B. (5, 1/2)
Step-by-step explanation:
Add the x-coordinates of the endpoints and divide by 2.
Add the y-coordinates of the endpoints and divide by 2.
x: (5 + 5)/2 = 10/2 = 5
y: (4 + (-3))/2 = 1/2
Midpoint (5, 1/2)
Someone please please help me it’s Algebra
Answer:
A shift to the right 8 units
Step-by-step explanation:
Remember to take the opposite of the sign when you are moving horizontally. The -8 signifies that it will be moving right 8 units instead of left.
Question is in the pic
Answer:
Brainliest!
Step-by-step explanation:
took 5 minutes to drain at a rate of 300 gallons per minute
this means there were 1500 gallons that need to be drained
it is now draining at a speed of 500 gallons per minute
1500/500 = 3
so its 3 minutes
The fast food company paid the hamburger bun company $120 per 100 hamburger buns. The fast food company charged their customers the same for 3 hamburger buns as they paid for 5. What was the profit the fast food company made per hundred hamburger buns?
The volume of sphere Q is 50% more than the volume of sphere P. The volume of sphere R is 50% more than the volume of sphere Q. Find the volume of sphere P as a fraction of sphere R. Write your answer in the form a/b
Answer:
1/2.25
Step-by-step explanation:
let volume of P be x
Q will be 1.5x
R will be 150/100* 1.5x which is 2.25x
P/R = x/ 2.25x
= 1/2.25
Here we need to write the volume of sphere P as a fraction of the volume of sphere R.
We will get:
[tex]V_P = V_R/2.25[/tex]
The given information is:
The volume of sphere Q is 50% more than the volume of sphere P.The volume of sphere R is 50% more than the volume of sphere Q.From the first statement, we can write:
[tex]V_Q = (1.5)*V_P[/tex]
Where the 1.5 comes because the volume of sphere Q is 150% of the volume of sphere P.
From the second statement we can write:
[tex]V_R = (1.5)*V_Q[/tex]
We can rewrite this last one as:
[tex]V_Q = V_R/(1.5)[/tex]
Now we can replace this on the first equation to get:
[tex]V_R/(1.5) = (1.5)*V_P\\\\V_P =V_R/(1.5)^2 = V_R/2.25[/tex]
This is the equation we wanted, the volume of sphere P as a fraction of the volume of the sphere R.
If you want to learn more, you can read:
https://brainly.com/question/9011354
find the value of y in the given ratio 9y=3:5
Answer:
y=15
Step-by-step explanation:
im guessing you meant 9:y = 3:5
(9*5)/y = 15
Do negative numbers have positive square roots?
Answer: yes
Step-by-step explanation:
Answer: not exactly
Step-by-step explanation:
If you put a negative number in a square root you would end up with an error on the calculator. Thats because you end up with an imaginary number since a negative inside a square root can never be calculated, its simply not possible because in order for a negative number to form, a positive number must always be multiplied to a negative number. So people came up with the concept of i:
[tex]\sqrt{-1}[/tex] = i
So something like [tex]\sqrt{-4}[/tex] can be simplified like:
[tex]\sqrt{4}[/tex] * [tex]\sqrt{-1}[/tex]
2 * i
2i
But if you're talking about squares like exponent wise, then yes
something like [tex](-2)^{2}[/tex] will always be positive, but you have to be careful with the parentheses.
There is a difference btw [tex](-2)^{2}[/tex] and[tex]-2^{2}[/tex]
[tex](-2)^{2}[/tex] = 4 because you are multiplying (-2)(-2)
but
[tex]-2^{2}[/tex] = -4 because you are multiplying -(2)(2)
Factor x^3 + 2x² + x completely.
Answer:
x(x+2)^2
Step-by-step explanation:
x^-3 +2x^2 +x
Taking x as common
x(x^2+2x+1)
x[(x)^2+2(x)(1)+(1)^2]
x(x+2)^2
I hope it will help you