Answer:
2α^2+15α+21
Step-by-step explanation:
(5α+α²-14) + (10α +α²+ 35)
Combine like terms
α^2+α^2+5α+10α-14+35
2α^2+15α+21
Answer:
2a² + 15a + 21
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightAlgebra I
Terms/CoefficientsStep-by-step explanation:
Step 1: Define
Identify
(5a + a² - 14) + (10a + a² + 35)
Step 2: Simplify
[Addition] Combine like terms (a²): 2a² + 5a - 14 + 10a + 35[Addition] Combine like terms (a): 2a² + 15a - 14 + 35[Addition] Combine like terms: 2a² + 15a + 21what is an equation of the line that passes through the points (3, 4) and (-4, -3)?
Answer:
y = x + 1
Step-by-step explanation:
Equation of line : y = mx + b, m = slope, b = y intercept
Find slope, m
[tex]Slope, m = \frac{y_2 - y_1}{x_2 - x_1}[/tex]
[tex]= \frac{-3 - 4}{-4 - 3} \\\\=\frac{-7}{-7}\\\\=\frac{7}{7}\\\\= 1[/tex]
Equation of line : [tex](x_1, y_1) = ( 3, 4 )[/tex]
[ You can choose any set of points from the given points. ]
[tex](y - y_1) = m(x - x_1)[/tex]
[tex](y - 4 ) = 1 \times ( x - 3)\\\\y - 4 = x - 3\\\\y = x - 3 + 4 \\\\y = x + 1[/tex]
Write the word that describes the part of figure A written below.
Answer:
GA = Ray
Step-by-step explanation:
EB = Line
AB = Line Segment
Find the slope of the line through the pair of points.
L(–9, 6), M(–1, –9)
Answer:
slope = y2 -y1/x2 -x1
= -9 - 6/-1 - (-9)
= -15/8
= -1.875
can someone help me plz
Answer:
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A gold bar is in shape of a triangular prism,the height is 4,the volume is 216cm³, the lateral area is 288cm and the surface area is 312cm but if the bar is melted and all the molten gold is used to form a solid cube,what is the length of the side of the cube
if you add 288cm and multiply by 216 then you shall get 433 and so if you
Find x round your answer to the nearest tenth of a degree
Answer:
x = 49.4
Step-by-step explanation:
Since this is a right triangle, we can use trig functions
tan theta = opp /adj
tan x = 14/12
Taking the inverse tan of each side
tan ^-1 ( tan x) = tan ^-1 (14/12)
x =49.39870535
x = 49.4
Answer:
x = 49.4
Step-by-step explanation:
It's right triangle , so we can use trigonometry functions
tan θ = opposite side / adjacent side
tan x = 14 / 12
Taking inverse tan of each side
[tex] \small \sf \leadsto \: tan { }^{ - 1} (tan \: x \: ) = tan \: {}^{ - 1} ( \frac{14}{12}) \\ [/tex]
x = 49.39870535
Round nearest tenth of degree = 49.4
. A copy machine can duplicate 2400 copies in one hour. How many copies can it make per minute?
Solve for 3. Round to the nearest tenth, if necessary.
Answer:
3
Step-by-step explanation:
cos(65)(7) u get 2.95 s0 3
let f={(1,2),(2,3),(5,6),(7,8) evaluate f(2)and f(5)?
Given:
[tex]f=\{(1,2),(2,3),(5,6),(7,8)\}[/tex]
To find:
The values of f(2) and f(5).
Solution:
If an ordered pair [tex](x,y)[/tex] is in the function [tex]f[/tex], then [tex]f(x)=y[/tex].
In the given set of ordered pairs one ordered pair is (2,3). So, by using the above definition, we get
[tex]f(2)=3[/tex]
In the given set of ordered pairs one ordered pair is (5,6). So, by using the above definition, we get
[tex]f(5)=6[/tex]
Therefore, the value of f(2) is 3 and the value of f(5) is 6.
URGENT a right triangle is shown enter the value of x
Answer:
Hello! answer: 10
Step-by-step explanation:
8 × 8 = 64
6 × 6 = 36
64 + 36 = 100
√100 = 10
10 × 10 = 100 therefore x = 10 hope that helps!
make p the subject of the relation A is equal to 1/2 ( p + b) h
Answer:
2A /h -b =p
If you need it with a common denominator
(2A -bh)/h = p
Step-by-step explanation:
A = 1/2 ( p+b)h
Multiply each side by 2
2A = ( p+b)h
Divide by h
2A/h = ( p+b)h/h
2A/h = ( p+b)
Subtract b
2A/h -b = p+b -b
2A /h -b =p
If you need it with a common denominator
(2A -bh)/h = p
Indira buys 1250 square metres of land to build a hotel. Each square metre of land costs $12. Calculate the cost of the land. Answer(a) $ [1] (b) The cost of the land is 3% of the cost of the hotel. Calculate the cost of the hotel
Answer:
500000
Step-by-step explanation:
yeah boi
Greatest common factor for 5x^2, 10x^3, 6x^5
Answer:
x^2
Step-by-step explanation:
The greatest common factor of 5x^2, 10x^3, 6x^5:
For the numbers, there is no greatest common factor except for 1.
For the variables, the furthest we can go is x^2.
In conclusion, the greatest common factor of 5x^2, 10x^3, 6x^5 is x^2.
The time t required to drive a certain distance varies inversely with the speed, r. If it takes 4 hours to drive the distance at 40 miles per hour, how long will it take to drive the same distance at 55 miles per hour?
A. about 2.91 hours
B. about 160.00 hours
C. about 22.00 hours
D. about 5.50 hours
Answer:
option D
Step-by-step explanation:
4 hours = 40 miles/per hour
? hour = 55 miles/per hour
step one, find rate :
40 divided by 40
1 hour = 10 miles/per Hour
If 4 x 10 = 40
then n x 10 = 55
It takes 5.5 OR 5.50 Hours/per hour for a Distance of 55 miles
Answer is Option D
Find many ways of arranging 24 counters in equal rows as you can. Write a multiplication sentence for each way
Answer:
6×4
2×12
8×3
Step-by-step explanation:
I know!
pls help me with thid
Yo help a nixxa out please the struggle is real
Option C: Three sides measuring 5 in, 12 in, and 14 in.
Can someone pls help me with this :')
7.5cm2
Step-by-step explanation:
5x3cm=15cm2 because of base x height/2 you would do
15cm2 divided by 2 since it is a triangle (a half of a square) which is 7.5cm2
Answer:
D.
Step-by-step explanation:
Area of a triangle is bh/2
So your base is 5 and your height is 3.
So you do 5*3 which is 15.
And lastly you do 15/2, which is 7.5. 7*2 is 14, and 8*2 is 16
So 7.5 times 2 is 15
Of every 5 CDs produced in a
factory, 2 are scratched. If
2,200 CDs were produced,
how many were scratched?
Answer:
880
Step-by-step explanation:
2/5 times 2200
Answer:
880 scratched CD's
Step-by-step explanation:
2/5 = x/2,200
5x = 4,400
/5 = /5
x = 880
-20=-8(a+4)-5(1-5a)
What is a
Answer:
a=1
Step-by-step explanation:
-20=-8(a+4)-5(1-5a)
Distribute
-20 = -8a -32 -5 +25a
Combine like terms
-20 =17a -37
Add 37 to each side
-20+37 = 17a-37+37
17 = 17a
Divide by 17
17/17 = 17a/17
1= a
Let g(x) = 4x - 20 and h(x) = -1/2x + k. For what value of k is the zero of h(x) equivalent to the zero of g(x)
Answer:
Step-by-step explanation:
The zero of a function is also known as the x-intercept of a function. The x-intercept of a function exists where y = 0. So we will begin by setting each of those lines = 0:
4x - 20 = 0 and -1/2x + k = 0 and then solve each for x:
4x = 20 so
x = 5 and
-1/2x = -k and
1/2x = k so
x = 2k. Now we set the 2 x expressions equal to each other and solve for k:
5 = 2k so
k = 5/2
The value of the K in the given equation is 5/2.
The zero of a function is also known as the x-intercept of a function.
The x-intercept of a function exists where y = 0. So we will begin by setting each of those lines = 0:
4x - 20 = 0 and
-1/2x + k = 0 and then solve each for x:
What is the substitution method?The substitution method is the algebraic method to solve simultaneous linear equations. As the word says, in this method, the value of one variable from one equation is substituted in the other equation.
4x = 20 so
x = 5 and
-1/2x = -k and
1/2x = k so
x = 2k. Now we set the 2 x expressions equal to each other and solve for k
5 = 2k so
k = 5/2
Therefore the value of the K in the given equation is 5/2.
To learn more about the expression visit:
https://brainly.com/question/723406
#SPJ2
20.
Determine the type and number of solutions of 7x2 + 3x + 8 = 0.
two imaginary solutions
two real solutions
one real solution and one imaginary solution
one real solution
two real solutions
b2-4ac>0
one real solutions and one imaginary solution
b2-4ac=0
no real solution
b2-4ac<0
a=7
b=3
c=8
(3)^2-4(7)(8)=-215 no real solution
find the solution to the equation 5x^2+7x-6=0
when solved by factoring..
the answer is
x= 3/5, -2
If the scale factor from figure A to figure B is 3:8, find the value of X (giving brainliest and thanks to all!)
Answer:
x = 9
Step-by-step explanation:
Corresponding sides are in proportion, that is
[tex]\frac{x}{24}[/tex] = [tex]\frac{3}{8}[/tex] ( cross- multiply )
8x = 72 ( divide both sides by 8 )
x = 9
(y = −4x−3) ( y = -2x+1 )
Ralph borrows $360 at 0.7% simple interest per month. When Ralph pays the loan back 3 months later, how much interest does Ralph pay?
can someone plzz help . Write and solve an the equation to find the value of x and the missing angle measures
Answer:
x=9
Angles = 50
Step-by-step explanation:
The angles are alternate interior angles and alternate interior angles are equal
4x+14 = 6x-4
Subtract 4x from each side
4x+14-4x = 6x-4-4x
14 = 2x-4
Add 4 to each side
14+4 = 2x-4+4
18 =2x
Divide by 2
18/2 =2x/2
9 =x
The angles are equal
4x+14 = 6x-4 = 4(9)+14 = 36+14 = 50
1 In a farm, there are x chickens and pigs. If the total number of chickens and pigs in the farm is 71 and the total number of legs as 180
,
Answer:
Step-by-step explanation:
I don’t know the question so, please tell me the question in the comments and i will try to answer it!
30 ≥ 5(6n) Choose the correct answer. n ≤ 2 or
n ≤ 1
Answer:
1 ≥ n
Step-by-step explanation:
30 ≥ 5(6n)
Distribute
30 ≥ 30n
Divide each side by 30
30/30 ≥ 30n/30
1 ≥ n
30 >= 5(6n)
Divide both sides. Y 5:
6 >= 6n
Divide both sides by 6:
1 >= n
Rewrite as: n ≤ 1
The Hernandez family budget is shown in the graph.
A circle graph titled Family Budget. Housing is 23 percent, Food is 21 percent, Savings is 10 percent, Transportation is 16 percent, medical is 12 percent, clothing is 13 percent, emergency fund is 5 percent.
Which 3 categories make up more than half of the Hernandez family budget? Select two choices..
clothing, medical, and emergency fund
clothing, housing, and savings
housing, savings, and food
housing, food, and transportation
food, transportation, and emergency fund
Answer:
c and d
Step-by-step explanation:
c) Housing, savings and food = 54%
d) Housing, food and transportation = 60%
Answer:
c and d
Step-by-step explanation:
