Answer:
(i) (x+3)(x-4)=0
x+3= 0 ⇒ x= -3x-4= 0⇒ x= 4(ii) (2x-3)(x-1) =0
2x-3= 0 ⇒ 2x=3 ⇒ x= 3/2x- 1= 0 ⇒ x= 1The word ‘over’ is to show a fraction btw
10 over x-4 = 6
Answer:
x = [tex]\frac{17}{3}[/tex]
Step-by-step explanation:
[tex]\frac{10}{x-4}=6\\\\[/tex]
10 = 6*(x -4)
10 = 6*x - 6*4
10 = 6x - 24
Add 24 to both sides
10 + 24 = 6x - 24 + 24
34 = 6x
6x = 34
Divide both sides by 6
6x/6 = 34/6
x = [tex]\frac{17}{3}[/tex]
2. Solve the following equation for b. 6b + 2a - 4 = 2b +3a
Answer:
b=1/4a+1
Step-by-step explanation:
Step 1: Add -2b to both sides.
2a+6b−4+−2b=3a+2b+−2b
2a+4b−4=3a
Step 2: Add -2a to both sides.
2a+4b−4+−2a=3a+−2a
4b−4=a
Step 3: Add 4 to both sides.
4b−4+4=a+4
4b=a+4
Step 4: Divide both sides by 4.
4b/4 = a+4/4
b=1/4a+1
Please mark brainliest
Hope this helps.
Answer:
the answer is A
Step-by-step explanation:just took the test
Can someone help me plzzzzz
Answer:
C
Step-by-step explanation:
Mr. Kohl has a beaker containing n milliliters of solution to distribute to the students in his chemistry class. If he gives each student 3 milliliters of solution, he will have 5 milliliters left over. In order to give each student 4 milliliters of solution, he will need an additional 21 milliliters. How many students are in the class?
Answer:
There are 26 students in the class
Step-by-step explanation:
Let n millilitres be the solution in the beaker
Let x be the number of students in a class
He gives 3 millilitres of solution to each student . He will have 5 millilitres left over.
So, Solution distributed = 3x
Remaining solution = n-3x
So, n-3x = 5 ----1
In order to give each student 4 millilitres of solution, he will need an additional 21 millilitres.
So, n-4x=-21 -----2
Substitute the value of n from 1 in 2
So, 5+3x-4x=-21
5-x=-21
26=x
Hence There are 26 students in the class
Solve: c) 2x^2+5x=-3
Answer:
(x+1)(2x+3)=0 is the answer
Step-by-step explanation:
2x²+5x=-3
2x²+5x+3=0
2x²+3x+2x+3=0
x(2x+3)+1(2x+3)=0
(x+1)(2x+3)=0
i hope this will help you :)
Solving Linear Systems by Substitution x+y=5 -3x+2y=5
Answer:
x=8.5
y=-3.5
Step-by-step explanation:
lets say x=5-y
substituting x in the other equation gives -3(5-y)+2y=5
-15+3+2y=5
2y=5+15-3
2y=17
y=8.5
from equation 1 : x+8.5=5
x=5-8.5
x=-3.5
Answer:
X=1y=4Please see the attached picture for full solution...
Hope it helps...
Good luck on your assignment...
Crystal reads 25 pages in 1/2 hour. Write an equation to represent the relationship between the number of pages Crystal reads and how much time she spends reading. Let p=pages and t=number of pages.
Answer:
p=50t
Step-by-step explanation:
The more pages Crystal has to read, the more time she spends reading.
Let p=number of pages read
t=time spent reading the number of pages
As t increases, p increases.
This is a direct proportion and we can write it as:
[tex]p=tk$ where k is the constant of proportionality\\When $ t=\frac{1}{2} $ hour, p=25 pages\\Therefore:\\25=0.5k\\k=25\div 0.5\\k=50[/tex]
Substitution of k into p=tk gives:
p=50t
Therefore, an equation representing the relationship between the number of pages Crystal reads and how much time she spends reading is:
p=50t
11 POINTS !!GEOMETRY!! find the radius and area to the nearest hundredth given the circumference is 8.61. show work.
Step-by-step explanation:
C=2×pi×r
8.61=2pi*×r
8.61÷2pi=13.52 radius
A=pi×r^2
pi×13.52^2=574.25 area
How much water should be added to 120 oz. of 50% acid solution to dilute it to a 30% acid solution? Round your answer to the nearest hundredth if necessary.
Step-by-step explanation:
120oz=50%acid
y=30%acid
120×30%=36
50×y=36
1.889oz
3. 10 + (8 x 3) - 32
Answer:
[tex]2[/tex]
Step-by-step explanation:
In order to find the answer to this question use PEMDAS and solve.
[tex]10+(8\times3)-32[/tex]
P goes first:
[tex]8\times3=24[/tex]
[tex]10+24-32[/tex]
A goes next:
[tex]10+24=34[/tex]
S goes last:
[tex]34-32=2[/tex]
[tex]=2[/tex]
Hope this helps.
Answer:
2
Step-by-step explanation:
10 + (8 x 3) - 32
So I’m assuming the x represents multiplication
10 + (8*3) - 32
In Pemdas parenthesis is always first
(8*3)=24
10+24-32
Then addition
10+ 24=34
34-32=2
SI LOS ELEMENTOS DE UN CONJUNTO PERTENECEN TODOS A OTRO CONJUNTO SE LLAMAN: a) Iguales b) Subconjunto c) Cardinalidad
Answer:
B; Subconjunto
Step-by-step explanation:
Aquí, se nos pide que seleccionemos el término que define un conjunto con sus elementos que pertenecen a un conjunto más grande.
La respuesta correcta es que el conjunto más pequeño es un subconjunto del conjunto más grande.
Esto significa que el conjunto más pequeño es parte del conjunto más grande, lo que lo convierte en una subdivisión del conjunto más grande
What is the exact volume of a cylinder with a height of 30 inches and radius of 13 inches
Answer:
2,451 inches.
Step-by-step explanation:
Formula for volume of a cylinder = V=πr2h
r = 13 inches
h = 30 inches
π=22/7 or 3.14
V = 3.14 × 13 × 2 × 30
= 2,451.43
Answer is 2,451.43
4m when m is 6? Can someone help!!!!!!
Answer:
24
Step-by-step explanation:
4m = 4 * m = 4 * 6 = 24
What is an equation of the line that passes through the point
(−2,−2) and is parallel to the line
5x−y=4?
Answer:
y = 5x + 8
Step-by-step explanation:
If you want to find a equation parallel to the line given, you need to know the slope of the line given. Remember that parallel lines have the same slope.
5x - y = 4 and solving for y:
-y = -5x + 4 and solving for positive y:
y = 5x - 4
So the slope of that line is 5. We will use that along with the coordinate given to us to write the equation first in point-slope form then in slope-intercept:
y - (-2) = 5(x - (-2)) and
y + 2 = 5(x + 2) and
y + 2 = 5x + 10 so
y = 5x + 8
(−a+b)(b–a) Please help I don't understand how to do this
Answer:
a^2 -2ab + b^2
Step-by-step explanation:
(−a+b)(b–a)
FOIL
first : -a*b = -ab
outer: -a * -a = a^2
inner +b * +b = b^2
last: b* -a = -ab
Add them together
-ab+a^2 + b^2 -ab
Combine like terms
a^2 -2ab + b^2
Answer:
a^2+b^2-2ab
Step-by-step explanation:
(-a+b)(b-a)=
first mutiply -a(b-a)=-ab+a^2
second multiply b(b-a)=b^2-ab
then add : -ab+a^2+b^2-ab= a^2+b^2-2ab
Please help i will mark brainliest
Answer:
y=-6x+1
Step-by-step explanation:
Nia invests $3100 in an account earning 2% interest, compounded annually.
The equation that represents this scenario is:
A(n) = 3100(1 + 0.02) - 1
How much will she have in the account in year 4? Round your answer to the
nearest dollar
Answer:
A=3355.54 dollars
rounded to the nearest dollar is : 3356
Step-by-step explanation:
A(n) = 3100(1 + 0.02)^4
A=3355.54 dollars
(note: i do not think there is -1 at the end of the equation if so your answer will be 3354.54 rounded to the nearest dollar is 3355)
a) y = 5x
What happens to the value of y if the value of x doubles?
Select your answer.
x 2
x 5
- 2
- 5
А.
B
C
D
b)y=
5
What happens to the value of y if the value of x triples?
Select your answer.
x 2
x 3
-2
- 3
A
B
C
D
Answer:
if x doubles y will be 2y &if x triples the value will be 3y
The current cost of a loaf of bread is $2.89. At the time of this writing, the CPI for bread is 323.0. What was the cost of a loaf of bread in 1983 to the nearest cent?
This is a fill in the blank question.
Answer:
Cost of loaf of bread in 1983 is 90 cents
Step-by-step explanation:
Mathematically;
CPI = Cost of market in given year/cost of market in base year * 100
From the question,
CPI = 323
cost of market in given year =2.89
cost of market in base year = ?
323 = 2.89/c * 100
323c = 289
c = 289/323
c = 0.8947
which is approximately 90 cents
Please help!! Rhombus LMNO is shown with its diagonals. The length of LN is 30 centimeters. What is the length of LP?
A.) 14
B.) 15
C.) 20
D.) 30
Answer:
The correct answer to the following question will be Option B (15).
Step-by-step explanation:
The given values is:
LN = 30 cm
Although the diagonals of that same rhombus bisects or bend one another, this implies that P seems to be the midpoint of both the LN.
So that,
⇒ [tex]LP=\frac{1}{2}\times LN[/tex]
On putting the estimated value, we get
⇒ [tex]=\frac{1}{2}\times 30[/tex]
⇒ [tex]=15[/tex]
Therefore, Option B seems to be the appropriate one.
Eric ran from school to the town monument and back again. On his way to the monument, he ran at 10kph and went back to school at 8kph. The entire trip took 2 hours and 15 minutes. How far is the monument from school?
Answer:
Distance = 10 km
Step-by-step explanation:
Let x be the number of hours taken from school to town and y be the number of hours taken back to the school
Then distance covered during first trip would be 10x (distance = speed*time) and during the second trip would be 8y. Both distances are equal.
=> 10x = 8y
Dividing both sides by 2
=> 5x = 4y
=> 5x-4y = 0 ------------------(1)
The total time for both the trips is:
=> x + y = 2.25 -------------------(2)
Multiplying eq (2) by 5
=> 5x+5y = 11.25 ---------------(3)
Subtacting (3) from (1)
=> 5x-4y-5x-5y = 0-11.25
=> -4y-5y = -11.25
=> -9y = -11.25
Dividing both sides by -9
=> y = 1.25 hrs
Putting in (2)
=> x + 1.25 = 2.25
=> x = 2.25 - 1.25
=> x = 1 hr
Now, Calculating the Distance
=> Distance = 10x
=> 10 ( 1 )
=> Distance = 10 km
A polynomial function has roots –5 and 1. Which of the following could represent this function?
Answer:
-5
Step-by-step explanation:
Answer: f(x)=(x+5)(x-1)
Step-by-step explanation:
got it right on edge
can someone please help
Answer: 57°
Step-by-step explanation:
Bisecting makes angle ZXY=ZXW. So 58+58=116.
Then solve. 2x+2=116.
2x=114
x=57
Does anyone know what to do here?
Answer:
n=-5
Step-by-step explanation:
y^5*y^n= y^5+n when multiply , add exponents
y^5+n/y^2= y^(5+n)-2 divide, subtract exponents
y^(5-5-2) =y^-2
Paul is 12 years older than Colin. Caroline is 3 years younger than Colin. If the total of their ages is 87, how old is the youngest of them?
Answer:
23
Step-by-step explanation:
87=x+(x+12)+(x-3)
87=3x+9
3x=78
x=26
This is Colin's age. Caroline is 3 years younger than Colin, so she is the youngest, and we need to find her age. Subtract 3 from 26, and you get your final answer, 23.
Can i get a correct answer bc i already asked this on and didn't get the correct answer that was listed
Answer:267.9 in³? Dk if it's right or wrong, forgive me.
Answer:
V = 267.9 in.³
Step-by-step explanation:
Diameter reduced by half = 16/2 = 8 inches
Radius = 4 inches
Volume of sphere = [tex]\frac{4}{3} \pi r^3[/tex]
Where r = 4
=> V = [tex]\frac{4}{3} (3.14)(4)^3[/tex]
=> V = 804.2/3
=> V = 267.9 in.³
How do you do this? please help me
Answer:
f = 10, g = 4.8 cm
Step-by-step explanation:
Area of ABCE = 60 cm²
Area of ABCD = 48 cm²
So,
Area of ADE = 60-48
=> 12 cm²
Area of ADE = [tex]\frac{1}{2} (Base)(Height)[/tex]
Where Area = 12 cm², Base = 4 cm
12 = [tex]\frac{1}{2}(4)(Height)[/tex]
Height = 12-2
Height = 10 cm
Where Height is AD
So, AD = 10 cm
Also, AD is parallel and equal to BC[tex](f)[/tex]
So,
f = 10 cm
Now, Finding g
Area of ABCD = [tex]Base * Height[/tex]
Where Area = 48 cm², Base = 10 cm
48 = 10 * Height
Height = 48/10
Height = 4.8 cm
Whereas, Height is g
So, g = 4.8 cm
Is ΔABC ~ ΔLMN? If so, name which similarity postulate or theorem applies.
Step-by-step explanation:
sss similarity theorem
An object accelerates from rest at 10m/s2 for 20s. Calculate the velocity reached.
Answer:
400 m/s
Step-by-step explanation:
u=0 m/s
t=20 s
a=20 m/s²
v=u+at
=0+20×20
=400 m/s
.......................
Answer:
Width: [tex]10y^6[/tex]
Length: 7y² + 3
Step-by-step explanation:
Step 1: Factor out 10
[tex]10(7y^8+3y^6)[/tex]
Step 2: Factor out [tex]y^6[/tex]
[tex]10y^6(7y^2+3)[/tex]
According to the question, the width is the monomial (1 term), so that is equal to [tex]10y^6[/tex]. That means the distributed part would be the length (7y² + 3).