Mathematics High School

Please answer this questions step by step​

Please Answer This Questions Step By Step

Answers

Answer 1

Answer:

(a) When a = 4 and b = -5,  a² + b² - a·b = 61

(b) When a = 4 and b = -5,  a³·b + a·b² = -220

(c)  [tex]When \ a = 4 \ and \ b = -5, \ \dfrac{a - b}{a + b} + a -b = 0[/tex]

(d) When a = 4 and b = -5, (a + b)² - (a - b)² = 82

Step-by-step explanation:

The question relates to evaluation of expressions, given the values of the variables, "a" and "b"

Where;

a = 4 and b = -5

(a) For a² + b² - a·b, we have;

a² + b² - a·b = 4² + (-5)² - 4 × (-5) = 16 + 25 + 20 = 41 + 20 = 61

(b) For a³·b + a·b² we have;

a³·b + a·b² = 4³·(-5) + 4·(-5)² = 64 × (-5) + 4 × 25 = -320 + 100 = -220

(c) For [tex]\dfrac{a - b}{a + b} + a -b[/tex], we have;

[tex]\dfrac{a - b}{a + b} + a -b = \dfrac{4 - (-5)}{4 + (-5)} + 4 - (-5) = \dfrac{4 + 5}{4 -5} + 4 + 5= \dfrac{9}{-1} + 4 + 5 = -9 + 4 + 5 = 0[/tex]

[tex]\therefore when \ a = 4 \ and \ b = -5, \ \dfrac{a - b}{a + b} + a -b = 0[/tex]

(d) For (a + b)² - (a - b)² we have;

(a + b)² - (a - b)² = (4 + (-5))² - (4 - (-5))² = (4 - 5)² - (4 + 5)² = (-1)² - 9² = 1 + 81 = 82

When a = 4 and b = -5, (a + b)² - (a - b)² = 82

Related Questions

2. Mr. Thompson is on a diet. He currently weighs 260 pounds. He
loses 4 pounds per month.
a. Write a linear model that represents Mr. Thompson's weight after
m months.
b. After how many months will Mr. Thompson reach his goal
weight of 220 pounds?

Answers

a. w = -4m + 260

b. 10 months


Select the correct answer.
You're given three angle measurements of 30°, 70°, and 80°.
How many triangles can you construct using these measurements?

A. 0
B. 1
C. 2
D. Infinitely many





Answers

The answer is C.2 that is the answer

Answer:

The answer is not 1 or 0

I think its D. infinitely many

Step-by-step explanation:

On Monday, Aisha spent 5 over 6 of an hour practicing the violin. On Tuesday, she practiced for 2 over 3 of an hour. Which equation shows correctly how much longer she practiced on Monday than on Tuesday?

Answers

Answer: 1/6

Step-by-step explanation:

5/6 - 4/6 = 1/6

Answer:

1

-

6

Step-by-step explanation:

Can someone pls help me with these two

Answers

That first one would be 14/ tan( 13)

The second would be 9 x cos(47)

Linear or nonlinear

Answers

Answer:

Linear

Step-by-step explanation:

Linear is a straight graph

Answer:

Linear

Step-by-step explanation:

The easiest way to recognize this from a graph is that its a straight line. If not then its non linear. If you aren't given a graph to go off of another way is to see if it has a constant rate of change, if it does its linear.

1. Evaluate
2

for x = 1
2
and y = 3


2. Nick is renting a car while his car is in the shop being repaired. His budget for the rental is at most
$120. If the cost to rent the car is $25 plus $.75 per mile how many mile can he drive it? Write and
solve an inequality

Answers

Answer:

Step-by-step explanation:

The lengths of the side of a triangle are 14 inches, 10 inches , and 8 inches. If the length of the shortest side of a similar triangle if 4 inches, the length of the longest side of the similar triangle is

Answers

Answer:

The longest length of the similar triangle is 7 inches

Step-by-step explanation:

If two triangles are similar, the ratio of their sides are equal

We shall be working the shortest and longest side of both

What we have here will be that;

The shortest length/ the longest length ratio in both triangles will be the same

Let the longest side of the similar triangle be x

8/14 = 4/x

8x = 4 * 14

x = (4 * 14)/8

x = 7 inches

HAAALLLLPPPP plz

The production cost to make 10 shirts is modeled by the expression Syntax error from line 1 column 49 to line 1 column 73. Unexpected 'mathsize'. where y represents the number of meters of fabric needed to make the shirts. Which expression represents the production cost for one shirt?

Answers

Answer:

the second one, B

Step-by-step explanation:

This is because in both numbers the decimal was moved back one.

0.18y+55 is the  represents the production cost for one shirt.

What is Expression?

Expression is a combination of numbers, variables and operators.

Given that  production cost to make 10 shirts is modeled by the expression 1.8y+55.

The variable y represents the number of meters of fabric needed to make the shirts.

We need to find the expression represents the production cost for one shirt.

As there are 10 shirts so divide 1.8 with 10

we get 0.18.

And the value remains constant as it is a constant which does not change.

Hence, 0.18y+55 is the expression represents the production cost for one shirt.

To learn more on Expressions click:

https://brainly.com/question/14083225

#SPJ6

A city received 2 inches of rain each day for three days The meterorologist said that is the rain had been snow each inch of rain would have been 10 inches of snow How much snow would that city have received in the three days

Answers

9514 1404 393

Answer:

  60 inches

Step-by-step explanation:

The total amount of rain received was ...

  (2 in/day)(3 day) = 6 in

The conversion factor for snow is (10 in snow)/(1 in rain), so the equivalent is ...

  (6 in rain) × (10 in snow)/(1 in rain) = 60 in snow

The city would have received 60 inches of snow.

Help !!!
See question in image.
Please show workings .
​

Answers

Answer:

see explanation

Step-by-step explanation:

Given f(x) then the derivative f'(x) from first principles is

f'(x) = lim ( h tends to 0 ) [tex]\frac{f(x+h)-f(x)}{h}[/tex]

      = lim ( h to 0 ) [tex]\frac{3(x+h)^3+2-(3x^3+2)}{h}[/tex]

      = lim ( h to 0 ) [tex]\frac{3(x^3+3x^2h+3xh^2+h^3)+2-3x^3-2}{h}[/tex]

      = lim ( h to 0 ) [tex]\frac{3x^3+9x^2h+9xh^2+3h^3-3x^3}{h}[/tex]

      = lim ( h to 0 ) [tex]\frac{9x^2h+9xh^2+3h^3}{h}[/tex]

      = lim ( h to 0 ) [tex]\frac{h(9x^2+9xh+3h^3)}{h}[/tex] ← cancel h on numerator/ denominator

      = lim ( h to 0 ) 9x²+9xh+3h² ← let h go to zero

f'(x) = 9x²

which of the following numbers is NOT a solution of the equation |x + 5| = x + 5?
-10
5
-5
0

Answers

Answer:

-10 is not a solution to the equation

Step-by-step explanation:

I don't really have an explanation

f(x)=3x-5 please help :>

Answers

Answer:

x= 5/3?????

Step-by-step explanation:

try using math

way

Please please help me!!!!

Answers

9514 1404 393

Answer:

yy+8y-2

Step-by-step explanation:

We presume the question is equivalent to asking for the factors of the trinomial. We notice that y is a factor of every term, so ...

  volume = y(y² +6y -16)

Now, we're looking for factors of -16 that have a sum of +6.

  -16 = (-1)(16 = (-2)(8) = (-4)(4)

The factors -2 and 8 have a sum of +6, so we can factor the trinomial completely as ...

  volume = y(y -2)(y +8)

The possible dimensions are y-2, y, and y+8.

Estimate 307% of 29.

Answers

Answer:

89.03

Step-by-step explanation:

29x3.07=89.03

19/10 equals x - 23/6


Please help me quickly!!!

Answers

Answer:

7 17/60

Step-by-step explanation:

you do 6x10 witch is 60 then you do 19 x 23 witch is 437 then divide that by 60 and that is 7 and you have 17 leftover

Graph y = 3/4x + 2
Im cray-zee for not knowing this lol

Answers

Answer:

*give credit to Desmos

Step-by-step explanation:

what is in math solve the following equation 35x-7y=49

Answers

Answer:

There is no solution for either variable without further information, as there are two variables given, but only one relationship between them.

You could however use them as a description of a line, which gives every possible solution.

35x - 7y = 49

7y = 35x - 49

y = 5x - 7

We now have an expression describing a line with a slope of five, which crosses the y axis at (0, -7) and the x axis at (1.4, 0)

x 0 1 2 3 y 8 1 −6 −13 Is the relationship a linear function? How do you know? A. No; the change in x and the change in y is not constant. B. Yes; the change in x is constant and the change in y is not constant. C. Yes; the change in x is constant and the change in y is constant. D. No; the change in x is not constant and the change in y is constant.

Answers

Answer:

The correct option is C) Yes; the change in x is constant and the change in y is constant.

Step-by-step explanation:

Consider the table shown.

x     y

0    8

1     1

2   -6

3   -13

Now observe the changes in x and y coordinates, if changes are constant then the given function is linear.

Consider the change in x coordinate.

1-0=1,  2-1=1 and 3-2=1

Now consider the change in y coordinate.

1-8=-7,  -6-1=-7  and -13-(-6)=-13+6=-7

Since the change in x and y is constant the given relationship is linear.

Therefore, the correct option is (C) Yes; the change in x is constant and the change in y is constant.

help me or dont lol but please help me

Answers

27° i'm pretty sure.

Find the value of w°

Answers

Answer:

w = 59

Step-by-step explanation:

90 + 31 +w = 180

121 +w = 180

w = 180 - 121

w = 59

Roberto wrote the pattern shown below. What is the rule for following Roberto's pattern?
96, 48, 24,12

A. subtract by 48
B. divide by 2
C. multiply by 2
D. subtract by 42

Answers

Answer:

its b because

Step-by-step explanation:

24÷12 is 2 and if u do 12 × 2 and keep going u will get the next answer

In the accompanying diagram, ABC is a straight line. mLABD 8x, and m DBC = x + 27. Find x. ​

Answers

Answer:

The 2 angles are supplementary.  This means they have to add up to 180 degrees.  The first angle is 8x and the second is x+27.  So set both of them equal to 180.

8x + x + 27 = 180

9x = 153

x = 17

Angle 1 = 8(17) = 136

Angle 2 = (17) + 27 = 44

Check: Angle 1 + Angle 2 = 180

136 + 44 = 180

Step-by-step explanation:

What is the slope of y = -4x - 3

Answers

Answer:

-4

Step-by-step explanation:

Answer:s

slope of -4x-3: m=-4

Solve for p.
p - 879 = -284
p =

Answers

The answer is 595 ooookkkkkk

Help please! worth a lot of points! Screenshot included

Answers

Answer:

x=44444444444444444444444444444444

Step-by-step explanation:

Answer:

.2

Step-by-step explanation:

-11 + x = 7x - 5. PLEASE HELPP WHAT DISE X EQUAL

Answers

Answer:

x= -1

Step-by-step explanation:

Isolate the variable by dividing each side by factors that don't contain the variable.

Brainly plss?

Answer:

x=-1

use math papa calculator it helps :)

What is the solution to −9x−6≥−3(x−4) ?

Answers

The answer is

x ≤ -3  

find the product of the monomial and polynomial xyz*(2x+3y^2-3z^2)

Answers

Answer:

2x^2yz + 3xy^3z - 3xyz^3

Step-by-step explanation:

First you must distribute:

xyz(2x) + xyz(3y^2) + xyz(-3z^2)

Then simplify:

2xyxx + 3xyzy^2 - 3xyz * z^2

And finally simplify each term:

2x^2yz + 3xy^3z - 3xyz^3

please help with 11 & 12

x=12
y=8
z=3

Answers

Answer:

11. 24

12. 253

hope it's helpful ❤❤❤❤

THANK YOU

Arianna buys computer games from an online store. Each game she orders costs $25, and shipping for her total order is $10. Arianna wants to spend $110. How many computer games can Arianna buy? Create an equation for the problem here.

Answers

Answer:

She can order 4 computer games.

Step-by-step explanation:

110-10=100

100÷25=4

Other Questions
(-3, 11) a solution to the systems of equations: x 3y = -36 and 3x + 4y = 48 true or false If y varies directly as x and x = -6 and y = 5, the constant of variation is A.)-6/5B.)-5/6C.)5/6D.)6/5 The equation of line j is y=5/7x-9. Line k, which is parallel to line j, includes the point (-7, 1 ). What is the equation of line k ? 12- (-5) + (-4 ) calculate Help plis plis 18. Find the sum of (x + 3) and (- x - 4).Help plis why is jim crow like a "web" y = 5x + 14what is the CROC (Constant Rate Of Change)?and how do you know. (please help i've been stuck on this for about an hours now :,). ) Lydia wants to find the height of a flagpole. She measures the height of a tree and the length of the shadow it casts. The tree is 14 feet tall, and its shadow is 21 feet long. Next, Lydia measures the shadow cast by the flagpole, and finds it is 30 feet long. What is the height of the flagpole? Which scenario is an example of feedback?A human adopts a pet dog and teaches the dog its name.A plant grows around a rock in order to reach the sunlight.A plant takes energy from sunlight and turns it into an energy source.An animal passes its genes on to its offspring. help me solve please if AB=BA= I then write the relation between matrix A and matrix B 1. What are the two effects of the continental plate/continental plate convergent boundary?2. Where can you find an example of this type of divergent boundary? Which country, continent or ocean? An object moving at a constant velocity accelerates at a constant rate of 2.5 m/s2 for a distance of 30 m. At the end of the acceleration the object has a velocity of 90 m/s. What was its velocity before accelerating? help me out this is due at midnight along with like 10 other assignments For trapezoid JKLM A and B are midpoints of the legs. Find AB.19BML27C.23ah3546 40 POINTS!A square pyramid is shown:What is the surface area of the pyramid? A. 2.46 square feet B. 8.76 square feet C. 5.16 square feet D. 1.56 square feet Substation method 3x + 4y=-227x+y=7 SOLVE FOR X, WILL GIVE BRAINLIEST Which of the below elements are part of a group? Feel free to use the periodic table. A. H, He, O, C B. Be, Mg, Ca, Sr C. Li, Be, C, O D. H, Li, Na, Mg Does anyone know the answer to these?? Please answer quickly and please dont joke around .