Answer:
5ab^2-6a^2b+a^3-2b+2a
Step-by-step explanation:
The simplified expression of expression (a – b)(a² – 5ab + 2) is a³ – 6a²b + 5ab² + 2a – 2b
What is Expression?An expression is combination of variables, numbers and operators.
To simplify the expression (a – b)(a² – 5ab + 2), we need to apply the distributive property, which states that:
(a + b)(c + d) = ac + ad + bc + bd
Using this property, we can multiply the two binomials as follows:
(a – b)(a² – 5ab + 2) = a(a² – 5ab + 2) – b(a² – 5ab + 2)
Now we can distribute the terms of each binomial:
= a³ – 5a²b + 2a – a²b + 5ab² – 2b
Simplifying the terms, we can combine like terms:
= a³ – 6a²b + 5ab² + 2a – 2b
Therefore, the simplified expression is a³ – 6a²b + 5ab² + 2a – 2b
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I need the answer to this picture below
Answer:
-4,1,7,15
Step-by-step explanation:
Find the measure of the angles (S)
Please help out:/
Answer:
Step-by-step explanation:
The triangle’s angles add up to 180°
so 180 - (5x - 2) = the another one interior angle
180 - 5x + 2
182 - 5x
and then 2x + 76 + (182 - 5x) = 180
2x + 76 + 182 - 5x = 180
258 - 3x = 180
78 = 3x
x = 26
so 2x = (26)(2) = 52
5x - 2 = (5)(26) - 2 = 128
please give me a brainliest answer
solve x/3 = 1.5 show working out
Answer:
x = 4.5
Step-by-step explanation:
[tex]\frac{x}{3}[/tex] = 1.5 ( multiply both sides by 3 to clear the fraction )
x = 3 × 1.5 = 4.5
HELP PLEASE I NEED HOW TO DO IT AND THE ANSWER FAST PLEASE
Answer:
4
Step-by-step explanation:
factor the numerator and denominator and cancel the common factors
-9 ÷ 7.2 as a decimal
P=[−3610−4] , Q=[−2571] , R=[4−20813]
Given the three matrices above, evaluate P+Q.
P+Q=[acbd]. Find the values of a, b, c, and d.
Adding the matrices, it is found that the values are: [tex]a = -5, b = 8, c = 11, d = -3[/tex]
The values of a, b, c and d is determined by the addition of matrices P and Q, that is:
[tex]P + Q = \left[\begin{array}{cc}a&c\\b&d\end{array}\right][/tex]
We have that the matrices are:
[tex]P = \left[\begin{array}{cc}-3&6\\10&-4\end{array}\right][/tex]
[tex]Q = \left[\begin{array}{cc}-2&5\\7&1\end{array}\right][/tex]
Then:
[tex]P + Q = \left[\begin{array}{cc}-3&6\\10&-4\end{array}\right] + \left[\begin{array}{cc}-2&5\\7&1\end{array}\right] = \left[\begin{array}{cc}-3-2&6+5\\1+7&-4+1\end{array}\right] = \left[\begin{array}{cc}-5&11\\8&-3\end{array}\right][/tex]
Finally:
[tex]\left[\begin{array}{cc}-5&11\\8&-3\end{array}\right] = \left[\begin{array}{cc}a&c\\b&d\end{array}\right][/tex]
Thus, the values are:
[tex]a = -5, b = 8, c = 11, d = -3[/tex]
A similar problem is given at https://brainly.com/question/24810141
he ratio of the interior angle measures of a triangle is 2:3:5. What are the angle measures?In order from the smallest angle to the largest angle, the angle measures are°,°, and°.
Answer:
Step-by-step explanation:
Ratio of angles = 2 : 3 :5
Angles are 2x , 3x , 5x
Sum of all angles of triangle = 180
2x +3x + 5x = 180
10x = 180
x = 180/10
x = 18
2x = 2*18 = 36
3x = 3*18 = 54
5x = 5*18 = 90
Smallest to largest
36 , 54 , 90
Answer:
36°, 54°, and 90°
Step-by-step explanation:
The sum of interior angles of a triangle = 180
Remember: The sum of the interior angles = (number of sides - 2)(180)
2:3:5 means 2x:3x: 5x
2x + 3x + 5x = 180
10x = 180
x = 18
The angles are 2(18) = 36°
3(18) = 54°
518) = 90°
1.2k + 2.4, factor out the coefficient of the variable, explain how you got it pls
Earlier, you were told about a toy rocket fired into the air from the top of a barn. Its height (h) above the
ground in yards after a seconds is given by the function:
h(x) = -52% + 100 + 20
What was the maximum height of the rocket?
Solution
The maximum height was reached by the rocket at one second as you found in part b from the previous
example. It takes second to reach the maximum height. We will substitute that value in for x in our
function and simplify.
The maximum height reached by the rocket was 25 yards. What is the time it takes for the rocket to hit
the ground? (Use a graph or any other method to solve.)
It takes approximately 3.2 seconds for the rocket to hit the ground. (Round to the nearest tenth.)
Using quadratic function concepts, it is found that:
It takes 1 second to reach maximum height.The maximum height is of 25 yards.It takes approximately 3.2 seconds for the rocket to hit the ground.The height of the rocket after x seconds is given by:
[tex]h(x) = -5x^2 + 10x + 20[/tex]
Which is a quadratic function with coefficients [tex]a = -5, b = 10, c = 20[/tex].
The maximum height will be a reached at a time of [tex]x_v[/tex], and will be of [tex]y_v[/tex], considering the vertex given by:
[tex]x_v = -\frac{b}{2a}[/tex]
[tex]y_v = -\frac{\Delta}{4a}[/tex]
[tex]\Delta = b^2 - 4ac[/tex]
Then:
[tex]x_v = -\frac{10}{2(-5)} = 1[/tex]
[tex]\Delta = 10^2 - 4(-5)(20) = 500[/tex]
[tex]y_v = -\frac{500}{4(-5)} = 25[/tex]
Thus:
It takes 1 second to reach maximum height.The maximum height is of 25 yards.It hits the ground when [tex]h(x) = 0[/tex], thus:
[tex]-5x^2 + 10x + 20 = 0[/tex]
[tex]x_1 = \frac{-b + \sqrt{\Delta}}{2a} = \frac{-10 + \sqrt{500}}{2(-5)} = -1.2[/tex]
[tex]x_2 = \frac{-b - \sqrt{\Delta}}{2a} = \frac{-10 - \sqrt{500}}{2(-5)} = -3.2[/tex]
We want the positive root, so, it takes approximately 3.2 seconds for the rocket to hit the ground.
A similar problem is given at https://brainly.com/question/24705734
A city has 1,242 law enforcement officers in the police department. If the officers are divided equally into 18 groups, how many officers will be in each group?
Answer:
69
Step-by-step explanation:
1,242 ÷ 18 = 69
Since the problem says divided equally, you will need to divide the total number of officers into 18 groups.
-kiniwih426
Members per group:-
[tex]\\ \sf\longmapsto \dfrac{1242}{18}[/tex]
[tex]\\ \sf\longmapsto 69[/tex]
Need a bit of help here
Answer:
Answer 1 is 4:2 or also write as 2:1.
[tex]\frac{2}{5}[/tex](6-5p)
Answer: -2x + 12/5
Step-by-step explanation:
What is the product?
(4x) {-3x^8}{-7x^3}
Answer:
[tex]84x^{12}[/tex]
Step-by-step explanation:
Step-by-step explanation:
[tex](4x)( - {3x}^{8} )( - {7x}^{3} ) \\ (4 \times - 3 \times - 7)( {x}^{} \times {x}^{8} \times {x}^{3} ) \\ (81)( {x}^{ 1 + 8 + 3} ) \\ 81 {x}^{12} [/tex]
a pole that is 3.3m tall casts a shadow that is 1.77 m long. at the same time , a nearby tower casts a shadow that is 38.5 m long. how tall is the tower? round your answer to the nearest meter
Answer:
21m
Step-by-step explanation:
First, divide 38.5 by 3.3.
Then, multiply that number by 1.77.
You will get 20.65...
Rounded, you will get 21 because .65 is bigger than half of one.
-kiniwih426
If triangle weighs 1 gram how much does a square weigh
Answer:
the answer should me 1.5 grams
Step-by-step explanation:
give the slope perpendicular to the equation 2x-y=5
Answer:
- [tex]\frac{1}{2}[/tex]
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Given
2x - y = 5 ( subtract 2x from both sides )
- y = - 2x + 5 ( multiply through by - 1 )
y = 2x - 5 ← in slope- intercept form
with slope m = 2
Given a line with slope m then the slope of a line perpendicular to it is
[tex]m_{perpendicular}[/tex] = - [tex]\frac{1}{m}[/tex] = - [tex]\frac{1}{2}[/tex]
Determinen las medidas algebraicas necesarias para calcular el área del hexágono
Answer: i cant understand that laugaue so hopefully u do well sorry
Step-by-step explanation:
What is the value of h?
h = 20
h = 35
h = 55
h = 70
Answer:55
Step-by-step explanation:
(6)(−3)(−5) ........................
Answer:
-2? maybe
Step-by-step explanation:
Factor the expression
Answer:
(2x+1)(x−2)(2x−5)
Step-by-step explanation:
(3x−6)(4x2−1)−(2x−4)(4x2+4x+1)
4x3−16x2+11x+10
=(2x+1)(x−2)(2x−5)
What is the sum of 1 + 1?
1 + 1 = 2
Have a beautiful and joyful day ahead.
Answer:
1+1= 2
have a nice day stay safe <3
Draw an area model. Then, Solve using the standard algorithm.
642 x 207
Uhmm,, 132,894?
132,894 ba?
An area model for the area of 1,32,894 units² is shown in the image.
We have to give that,
The standard algorithm is,
642 x 207
Now, for the area model,
Draw a rectangle with a length of 642 units and a width of 207 units.
Then, the Area of the rectangle is,
A = Lenght x Width
A = 642 x 207
A = 1,32,894 units²
Hence, the Area is,
A = 1,32,894 units²
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Please help with full solution ;)
Answer:
None Of These
Step-by-step explanation:
Because you cannot determine what the two sides are because there are 2 missing variables.
This is a linear equation and has infinite solutions.
Another equation matching this is needed to find a specific answer.
Hope This Helps :)
answer po plss plss plsss plss
Answer:
Step-by-step explanation:
16.) (3/5)+(-13/5) = (3-13)/5
(3-13)/5 = -10/5, or -2
17.) -1 3/20 - (-3/4)
-(20/20+3/20) + (3/4)
-23/20 + 3/4
-23/20 + 15/20
-8/20
-2/5
18.) (-8/15)/(-1+1/3)
(-8/15)/(-3/3+1/3)
(-8/15)/(-2/3)
(-8/15)*(-3/2)
24/30
4/5
Evaluate the function when x= -3,0 and 1. Show work H(x) = 2.5x + 7
Answer:
H(-3)= -0.5
H(0)= 7
H(1)= 9.5
Step-by-step explanation:
For H(-3)
Substitute all of the x into -3
H(-3)=2.5(-3)+7
2.5 times -3 is -7.5
-7.5+7 is -0.5
So the answer for H(-3) is -0.3
For H(0)
Substitute all of the x into 0
H(0)=2.5(0)+7
2.5 times 0 is 0
0+7 is 7
So the answer for H(0) is 7
For H(1)
Substitute all of the x into 1
2.5(1)+7
2.5 times 1 is 2.5
2.5+7 is 9.5
So the answer for H(1) is 9.5
Hope this helps!
What type of polynomial is P(x)=x3−1?
A. cubic
B. quintic
C. linear
D. quartic
Answer:
A.
Step-by-step explanation:
Cubic because the highest exponent is 3.
The classification of the polynomial P(x) = x^3−1 by degree is; Cubic. Hence, option A is correct.
What are polynomials forms?Generally, polynomials take the form,
P(x) = ax^n + bx^(n-1) + cx^(n-2).... + z
where:
a, b....= arbitrary constants
x = variable
n = highest power of the variable in the polynomial
The given polynomial is P(x) = x^3−1
The classification of the polynomial P(x) = x^3−1 by degree is; Cubic.
Cubic function is one that has the highest exponent is 3.
Hence, option A is correct.
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8xy + 14x + 4x - 2xy + 6y
I NEED HELP ON IT
Answer:
Welp i dont have your help you need
Step-by-step explanation:
Because i just dont
[tex]a\sqrt{a} +2a + \sqrt{a} +2\\[/tex]
Step-by-step explanation:
= [tex](a\sqrt{a} + 2a)+(\sqrt{a}+2 )[/tex]
= [tex]a(\sqrt{a} + 2a)+(\sqrt{a}+2 )[/tex]
= [tex](a+1)(\sqrt{a} +2)[/tex]
please give me a brainliest answer
i dentify the given condition anf the unknown
Answer:
Is there a picture i could go by to answer your question or is this is?
what is 20.1000÷300000
Answer:
0.000067
or
6.7*10^-5
Step-by-step explanation:
brainliest plz
