Answer:
5x + 30 degrees is the value of p and the value of us is 8° they've said that if you had p&s get 144 5x + 30 degrees + 80 is equals to 145 x + 110 is equals to 142 the like terms together 5x will be equal to 140 - 110 5x is equals to 30 / 5 x now will be equal to 6 degrees
(i) Factorise the expression x^3 + 3x - x^2 - 3 completely.
(ii) Hence, express (x^2 – 3)^3 - (2 - x^2)^2 + 3(x^2- 3) in the form (x^4+Ax^2+B)(x^2+ C), where A, B and C are integers.
Step-by-step explanation:
Answer 1 put all like terms then solve
hope it helps....
a) The value of the equation is A = ( x - 1 ) ( x² + 3 )
b) The value of the equation is B = ( x⁴ - 6x² + 10 ) ( x² - 4 )
What is an Equation?Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given data ,
Let the equation be represented as A
Now , the value of A is
a)
The equation is A = x³ + 3x - x² - 3
On simplifying the equation , we get
A = x³ - x² + 3x - 3
A = x² ( x - 1 ) + 3 ( x - 1 )
On factorizing the equation , we get
A = ( x² + 3 ) ( x - 1 )
b)
The equation is B = ( x² - 3 )³ - ( 2 - x² )² + 3 ( x² - 3 )
On simplifying the equation , we get
B = ( x² - 3 )³ - ( x⁴ - 2x² - 2x² + 4 ) + 3 ( x² - 3 )
On further simplification , we get
B = ( x² - 3 )³ - x⁴ + 4x² - 4 + 3x² - 9
B = ( x² - 3 )³ - x⁴ + 7x² - 13
On factorizing the equation , we get
B = ( x - 2 ) ( x⁵ + 2x⁴ - 6x³ - 12x² + 10x + 20 )
B = ( x - 2 ) ( x + 2 ) ( x⁴ - 6x² + 10 )
And , on further simplification , we get
B = ( x² - 4 ) ( x⁴ - 6x² + 10 )
Hence , the equation is B = ( x² - 4 ) ( x⁴ - 6x² + 10 )
To learn more about equations click :
https://brainly.com/question/19297665
#SPJ2
What is the value of the y-intercept of the graph f(x)=−6⋅7.5x?
Enter your answer in the box.
y =
Answer:-6
Step-by-step explanation:
The value of the y-intercept is 0.
y = 0
What is an equation of a line?The equation of a line is given by:
y = mx + c
where m is the slope of the line and c is the y-intercept.
Example:
The slope of the line y = 2x + 3 is 2.
The slope of a line that passes through (1, 2) and (2, 3) is 1.
We have,
The equation of the given function is:
f(x) = -6 x 7.5x
We can rewrite this in the slope-intercept form y = mx + b, where m is the slope and b is the y-intercept:
f(x) = -6 x 7.5x + 0 (since the x-term has a coefficient of 0)
f(x) = -45x + 0
So, the slope of the line is -45 and the y-intercept is 0.
Therefore,
The value of the y-intercept is 0.
y = 0
Learn more about equation of a line here:
https://brainly.com/question/23087740
#SPJ2
6, 18, 54, 162
What is the common ratio
Answer:
3
Step-by-step explanation:
The common ratio is 3 because 6 x 3 = 18 , 18 x 3 = 54 , and 54 x 3 - 162
Hi can you please help I’ve been stuck on this question
9514 1404 393
Answer:
20 meters
Step-by-step explanation:
Using the formula for the area of a rectangle, fill in the given information and solve for the unknown.
A = LW . . . . . . . . area is length × width
80 m² = L·(4 m)
(80 m²)/(4 m) = L = 20 m . . . . . . . divide by 4m (the coefficient of L)
The tarp is 20 meters long.
Please resolve this is for today
Answer:
A Square plus B square equals
Step-by-step explanation:
T
if -1 is a root of f(x), which of the following must be true
A. a factor of f(x) is (x-1)
B. a factor of f(x) is (x+1)
C. both (x-1) and (x+1) are factors of f(x)
D. neither (x-1) nor (x+1) is a factor of f(x)
Option (B) is correct, A factor of f(x) is x+1.
What is function?A function is a combination of different types of variable and constants in which for the different values of x the value of function y is unique.
Given that,
Function f(x) has one root, which is -1.
Implies that,
for the function f(x),
x = -1,
or (x+1) = 0,
So, (x+1) is the factor of the function f(x).
To know more about Function on:
https://brainly.com/question/2411204
#SPJ6
Tell whether the angles are adjacent or vertical. Then find the value of x.
Answer:
They are vertical
x=32.5
Step-by-step explanation:
75 + 4x-25 = 180
4x = 180+25-75
4x=130
x=32.5
Ursula surveyed 50 classmates about their favorite ice cream flavors. Each classmate chose one flavor. The results are shown in the circle graph. Favorite Ice Cream Flavors Coffee 14% Chocolate 42% Strawberry 18% Vanilla How many more of Ursula’s classmates chose chocolate than chose vanilla?
Answer:
3
Step-by-step explanation:
Answer:
answer would be 3!
Step-by-step explanation:
view the problem, it could be adding or subtracting. your welcome! c:
3(4x+6)=x-4
Pls look at the picture for the rest of the question thanks!
Answer:
(x = −2) sentence below
Step-by-step explanation:
Step 1: Simplify both sides of the equation.
3(4x+6)=x−4
(3)(4x)+(3)(6)=x+−4(Distribute)
12x+18=x+−4
12x+18=x−4
Step 2: Subtract x from both sides.
12x+18−x=x−4−x
11x+18=−4
Step 3: Subtract 18 from both sides.
11x+18−18=−4−18
11x=−22
Step 4: Divide both sides by 11.
11x
11
=
−22
11
x = −2
I used distributive property because it allows me to simply the equation when dealing with the unknown value of x.
Find the GCF of 5y5 and 50y2.
Answer: [tex]5y^2[/tex]
Step-by-step explanation:
Given
[tex]5y^5\ \text{and}\ 50y^2[/tex]
GCF or HCF of the two is the highest common factor
[tex]\Rightarrow 5y^5=5\times y^2\times y^3\\\Rightarrow 50y^2=5\times y^2\times 10[/tex]
It is clear GCF is [tex]5y^2[/tex]
1. How many sheets can a copier reproduce in 5 min. if it makes a copy every 1 ⅑ sec.?
Answer:
4.5 or just say 4 if your gonna round it up. hope this helped :)
Step-by-step explanation:
A raft travels downriver at a rate of 6 miles per hour. The total distance d in mile that the raft travels is equal to the rate times the number of hours h. Dependent Variable: Independent variable: Equation:
Answer:
Dependent variable: total distance (d)
Independent variable: number of hours (h)
Equation: d = 6h
Step-by-step explanation:
In this case given, the dependent variable, total distance (d), is dependent on the independent variable, number of hours (h). This is because, a change in the value of h leads to the change in the value of d. In order words, total distance (d) is a function of the number of hours (h).
Therefore:
Dependent variable: total distance (d)
Independent variable: number of hours (h)
Rate: 6 miles/hr
Equation: d = 6h
Javier and his family drink 3 gallons of milk each week. Javier drinks 5 quarts of milk each week. How many pints of milk does the rest of his family drink during the week?
A.12
B.14
C.7
D.10
Answer:
So basically Javier and his family drink a total of 12 quarts of milk each week because 1 gallon of milk is 4 quarts so Javier drinks 5 quarts 12-5=7
which leaves 7 quarts for his family. 2 pints are equal to a quart therefore 14 pints are left for his family
In slope-intercept form, what is the equation of the line containing the points (−1, 2) and (2, −1)?
Answer:
y=-x+1
Step-by-step explanation:
m=(y2-y1)/(x2-x1)
m=(-1-2)/(2-(-1))
m=-3/(2+1)
m=-3/3
m=-1
y-y1=m(x-x1)
y-2=-1(x-(-1))
y-2=-(x+1)
y=-x-1+2
y=-x+1
5x-3=121
to
5x=-36
Explain how the first one ended up to be the second one.
Answer:
you may have done this wrong
Step-by-step explanation:
5x-3=121
add 3 on both sides
5x=-36<------what you did was wrong
you should have ended up with...
5x=124
divide by 5 on both sides
x=24.8
The model is shaded to represent the remaining one-half of a cake. Three friends will
each receive an equal amount of the remaining cake until it is all gone.
Cake
Which equation can be used to determine the fraction of the whole cake each friend
will receive?
Answer:
jsjshshshhsgdhshdhdhddhshggzggzgzhshsggggghzhgzgzgdgxgshdhdhgd
Step-by-step explanation:
h
Answer:
h
Step-by-step explanation:
Mr. Lenny has graded 25% of his 200 students papers. How many papers did he finish
grading?
A
50
B.
60
с
25
D
300
Answer:
50 papers
Step-by-step explanation:
50% of the 200 papers would be 100 papers graded because half of 200 is 100.
25% would be 1/4 of the 200 papers.
So you have to divide.
200 divided by 4 is 50.
Therefore 50 papers have been graded so far.
No clue what I am doing
Answer:
1. 1=18°, 2=90°
2. 1=85°
3. 1=97°
4. 2=83°
5. 3=49°
6. 1=94°
7. 4=45°
8. 3=65°
9. 2=79°
10. 5=73°
11. 6=147°
12. 1=26°
13. 2=32°
Step-by-step explanation:
1. all angles of a triangle equal 180. 2 is 90 degrees because you can look across to find the symbol. Then you subtract 180 by 72 and 90 to get 18.
2. do the same thing as last time, 180 minus 40 and 55.
3. In order to figure this out, you need to have the angle 2. One you have 83, angles like this, together will add up to 360 if you put 2 of them together. 83×2=166. 360-166=194. 194/2=97.
4. To figure this out, you find the angle across from it because those are always the same. Follow the same process to subtract 39 and 58 from 180 to get 83.
5.Now that you have the angle 2 you can figure this one out as well, again, follow the process of subtracting the two opposite angles from 180 to get 49.
(This is taking really long to explain so if you have questions just ask.)
PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!! PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!! PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!! PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!!PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!! PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!! PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!!
Answer:
Step-by-step explanation:
Calculate the area of the base (which is a circle) by using the equation πr² where r is the radius of the circle. Then, multiply the area of the base by the height of the cylinder to find the volume.
Answer:
[tex]\frac{32}{3} \pi \\v= 33.5[/tex]
Step-by-step explanation:
[tex]v=\frac{4}{3} \pi r^{3}[/tex]
[tex]v= \frac{4}{3} \pi 2^{3} \\\\v=\frac{4}{3} \pi 8\\v=\frac{32}{3} \pi \\v= 33.5[/tex]
Beth is buying 2.6 pounds of coffee beans. If the coffee costs 6.79 per pound, how much will she pay? Round to the nearest cent..
Answer:
$17.65
Step-by-step explanation:
hope this helped!!
Taylor's mom said he and his brother could go to a movie while she went shopping,
She dropped them off at the theater at 1:45 and said she would be back at 4:00 to get
them. They had three choices of movies. Which movie could they see and be done
by the time their mom came to get them? Show all your work. Hint: Remember that
there are 60 minutes in an hour.
Length
(Including Previews)
Movie
Start Time
1:55
130 minutes
Beetle goes to Town
2:00
125 minutes
Arctic Adventure
Answer:
beetle goes to town and artic adventure both end at 3:25 so really it's a gamble
Step-by-step explanation:
Line segment JL is an altitude in triangle JKM. Triangle K J M is shown. Angle K J M is a right angle. An altitude is drawn from point J to point L on side K M to form a right angle. The length of K J is 13, the length of J L is 5, and the length of J M is 8. Which statement explains whether JKM is a right triangle? Round measures to the nearest tenth. JKM is a right triangle because KL + LM = 15.3. JKM is a right triangle because KL + LM = 18.2. JKM is not a right triangle because KL + LM ≠ 15.3. JKM is not a right triangle because KL + LM ≠ 18.2.
Answer:
JKM is not a right triangle because KL + LM ≠ 15.3.
Step-by-step explanation:
Given
[tex]JK = 13[/tex]
[tex]JL = 5[/tex]
[tex]JM = 8[/tex]
Required
Determine if JKM is right-angles or not
Calculate length KL using Pythagoras theorem.
[tex]JK^2 = JL^2 + KL^2[/tex]
[tex]13^2 = 5^2 + KL^2[/tex]
Collect like terms
[tex]KL^2 = 13^2 - 5^2[/tex]
[tex]KL^2 = 144[/tex]
[tex]KL = 12[/tex]
Calculate length LM using Pythagoras theorem.
[tex]JM^2 = JL^2 + LM^2[/tex]
[tex]8^2 = 5^2 + LM^2[/tex]
Collect like terms
[tex]LM^2 = 8^2 - 5^2[/tex]
[tex]LM^2 = 39[/tex]
[tex]LM = \sqrt{39[/tex]
[tex]LM = 6.2[/tex]
[tex]KM = KL + LM[/tex]
[tex]KM = 12 + 6.2[/tex]
[tex]KM = 18.2[/tex]
If JKM is right-angled, then:
[tex]KM^2 = JK^2 + JM^2[/tex]
[tex]KM^2 = 13^2 + 8^2[/tex]
[tex]KM^2 = 233[/tex]
[tex]KM = \sqrt{233[/tex]
[tex]KM = 15.3[/tex]
[tex]15.3 \ne 18.2[/tex]
i.e
[tex]KL + LM \ne 15.3[/tex]
Hence: JKM is not right-angled
Answer:
C-JKM is not a right triangle because KL + LM ≠ 15.3
Step-by-step explanation:
if right mark as brainliest
Calculate the volume of the prism by trst finding the total
cubes that will fill it. There are 8 half-unit cubes in every unit cube,
1 1/4
IN
22
A. Number of half-unit cubes = 10
V= 12 cubic units
B. Number of half-unit cubes = 10
V= 5 cubic units
C. Number of half-unit cubes = 5
V=2 cubic units
D. Number of half-unit cubes = 5
V=12 cubic units
Mrs. Jones rented a truck. Easy math problem. Only answer if you know how to do it. Help needed ASAP
Answer:
80%
Step-by-step explanation:
150/100*20=$30
150-30=120
120/150=0.8=80%
Factorise this pleasee
x2 + 4x -45
Answer:
(x - 5)(x + 9)
Step-by-step explanation:
Is the following equation Linear, Non-linear, or neither
5x +2(x3 - 9) = 132 + 8x?
Answer:
x = 50
Step-by-step explanation:
5x + 2(3x - 9) = 132 + 8x
5x + 6x - 18 = 132 + 8x
11x - 18 = 132 + 8x
11x - 18 = 8x + 132
11x - 18 + 18 = 8x + 132 + 18
11x = 8x + 150
11x - 8x = 8x - 8x + 150
3x = 150
3x ÷ 3 = 150 ÷ 3
x = 50
What is the area of these
Answer:
g=130 h=22
Step-by-step explanation:
bxh÷2
hope this helps
8. Which expression is equivalent to 0.6x?
O
X-0.4x
O
1 -0.4x
X + 0.6
0.6X - X
Answer:
X - .4x
Step-by-step explanation:
X - .4x = x(1-.4) = .6x
1 -0.4x These are not like terms so they cannot be combined
X + 0.6 These are not like terms so they cannot be combined
0.6X - X x( .6-1) = x(-.4) = -.4x
Relationship a is defined by the equation y=9x some values of relationship b are (0,0)(3,34.5)(5,57.5)(8,92) both relationships have a direct proportion between x and y. The rate of change of relationship b is how many units greater then the rate of change of relationship a
Answer:
The rate of change of relationship 'b' is 2.5 times greater than the rate of change of relationship 'a'
Step-by-step explanation:
The given parameters are;
The function representing relationship 'a' is y = 9·x
Some values of relationship 'b' are;
(0, 0), (3, 34.5), (5, 57.5), and (8, 92)
For direct proportionality of relationship 'b' we have;
y = k₂·x
∴ k₂ = y/x
∴ k₂ = 34.5/3 = 23/2
57.5/5 = 23/2
92/8 = 23/2
k₂ = 23/2
Therefore, the direct proportionality relationship of relationship 'a' is y = 9·x
∴ k₁ = 9
Therefore, the rate of change of relationship 'b' is k₂ - k₁ = (23/2) - 9 = 2.5 times greater than the rate of change of relationship 'a'.
True or false ? Is f(x) a function
Answer:
true
Step-by-step explanation: