Solve the algebraic equation -4x +2 (x - 1)^2

Answers

Answer 1

Answer:

2x^2 - 8x + 2

Step-by-step explanation:

-4x + 2(x-1)^2

= -4x + 2(x^2 -2x +1)

= -4x + 2x^2 - 4x + 2

= -8x + 2x^2 + 2

=2x^2 - 8x + 2 (usually put the exponent kind of things first)


Related Questions

A cat chased after a dog for l mile, and then stop to rest. As soon as the cat sotped,the dog chased after the cat for 1500 yard back towards their starting point. How many yards were the ainmals for her starting point?

Answers

Answer:

0.14768 mile

Step-by-step explanation:

Given that:

Distance at which cat chased dog = 1 mile ; hence they've moved 1 mile from their starting position

Distance for. Which dog chased cat =. 1500 yards towards starting position

Converting miles to yards

1 mile = 1760 yards

1 yard = 0.000568 mile

Number of miles the animals are from Their starting position :

1760 yards - 1500 yards = 260 yards

260 * 0.000568 = 0.14768 mile

6. Create an equation and solve for n.
5n - 11

Answers

Answer:

11-n=5

Step-by-step explanation:

I dont understand pls help me

Answers

Answer:

-1/3

Step-by-step explanation: it goes downwards from left to right so it is a negative and to reach the next line below it, it went to the right 3 units.

Therefore it is -1/3 :)

what is thirty five percent

Answers

this makes no sense 35 percent of what

Answer:

i dont know what you need 35% as but..

Step-by-step explanation:

Decimal : 0.35

Fraction: 7/20

A computer software company models its profit with the function P(x) = -x2 + 15x – 34 where x is the number of games, in hundreds, that the company sells and P(x) is the profit, in thousands of dollars. How many games must the company sell to get $16,000 in profit?

Answers

Step-by-step explanation:

A computer software company models its profit with the function :

[tex]P(x) = x^2 + 15x -34[/tex] ....(1)

Where

x is the number of games, in hundreds, that the company sells and P(x) is the profit, in thousands of dollars.

We need to find the number of games the company sell to get $16,000 in profit.

Put P(x) = 16,000 in equation (1).

[tex]x^2 + 15x -34=16000\\\\x^2+15x-34-16000=0\\\\x^2+15x-34-16000=0\\\\x^2+15x-16034=0[/tex]

Using quadratic formula with a=1, b=15, c=-16034.

[tex]x=\frac{-15+\sqrt{15^{2}-4\left(1\right)\left(-16034\right)}}{2\left(-1\right)}, \frac{-15-\sqrt{15^{2}-4\left(1\right)\left(-16034\right)}}{2\left(-1\right)}\\\\=-119.34, 134.34[/tex]

Neglecting negative value,

No of games = 134 (approx)

Which statements about the diagram are correct? Check all that apply.

BD = 9 in.
AB = 36 in.
DC = 6 StartRoot 3 EndRoot in.
AC = 12 StartRoot 3 EndRoot in.
BC = 18 StartRoot 3 EndRoot in.

Answers

Answer:

(C)DC = 6 StartRoot 3 EndRoot in.

(D)AC = 12 StartRoot 3 EndRoot in.

Step-by-step explanation:

A coin has heads on one side and tails on the other. The coin is tossed 50 times and lands
heads up 19 times. How does this frequency compare to the expected frequency based on
the probability of the coin landing with heads up?

Answers

Answer: A “The Frequency is 31 lower than expected.”

Step-by-step explanation:

The frequency is 12 fewer than expected.

What is relative frequency?

Relative frequency or experimental probability is calculated from the number of times an event happens, divided by the total number of trials in an actual experiment.

The experimental relative frequency at which the coin lands heads up is [tex]\frac{19}{50}[/tex] or 0.38.

If the coin were a fair one, we would expect that it had heads up 25 out of 50 times, which would be a relative frequency of 0.50.

Since this is not happening, we conclude that the coin is NOT a fair one.

Expected frequency = 0.50

Experimental relative frequency = 0.38

= 0.50 - 0.38

= 0.12 or 12 %

Hence, the frequency is 12 fewer than expected.

Find out more information about relative frequency in probability here

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ASAP pls pls pls pls pls pls

Answers

Answer:

D is the answer.

[tex]16x {}^{2} - 81 = 0 \\ (4x - 9) \times (4x + 9) = 0 \\ [/tex]

[tex]4x - 9 = 0 \\ 4x = 9 \\ x = \frac{9}{4} \\ or \\ 4x + 9 = 0 \\ 4x = - 9 \\ x = - \frac{9}{4} [/tex]

MARKING BRAINLIST!!! In a couplet one statement is _____ and one is ______
A. Agreeing and rejecting
B. Deciding and Acting
C. Informing and Agreeing

Answers

Deciding and Acting.

A couplet can have an open sentence which is the deciding and the closing sentence being the acting.

Find the sum:
The blanks r subtraction signs

Answers

Answer:

[tex]8x^2+6x-17[/tex]

Step-by-step explanation:

All that we have to do is add the 3 and 5 so it's basically like combining like terms. So the first blank is 8.

Now we add the x and the 5x which is 6x, all we're doing is adding the x's.

Now we do add the two negative 10 and 7. So what is -10 + - 7 we add them normally but we'll still have the negative in front of them. So it's -17.

Cydni is working with some algebra tiles at her desk. She makes groups of tiles like the ones below. Which expressions represent the sum of the tiles that Cydni has arranged on her desk? help

Answers

Answer:

3x+9

Step-by-step explanation:

If it’s multiple choice the other one is

x +1+1+1+x +1+1+1+ x +1+1+1

I hope this helps!

If a number is tripled and then subtracted from 28, the result is 3 more than twice the number. What is the number?

A)x=5
B)x=31
C)x=6
D)x=4

Answers

Answer: x = 5

Step-by-step explanation:

Based on the information, the number is x= 5.

What is an equation?

An equation is an expression that shows the relationship between two or more numbers and variables.

A mathematical equation is a statement with two equal sides and an equal sign in between. An equation is, for instance, 4 + 6 = 10. Both 4 + 6 and 10 can be seen on the left and right sides of the equal sign, respectively.

Consider that the number be x.

Given that;

Tripling the number we get = 3x.

On subtraction from 28, the equation will be: 28 - 3x.

Now forming the equation for result. Twice the number will be 2x. Result = 2x + 3.

Now equating these two equations as;

28 - 3x = 2x + 3

Rewriting the equation as;

3x + 2x = 28 - 3

Now, addition on Left Hand Side and subtraction on Right and Side

5x = 25

x = 25 ÷ 5

Performing division on Right Hand Side, we get;

x = 5

Learn more about equations here;

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The midtown middle school cheerleaders earned $175 at a car wash. If this amount is 25% of the cost of a new set of uniforms, what is the total cost for a set of uniforms?

Answers

Answer:

700

Step-by-step explanation:

multiple 175 × 4 to get to 100%

$700. If $175 is 25% of the cost (C) of the uniforms, then we can write an equation like this...
C x .25 = $175
Divide both sides of the equation by .25 to solve for C, and you get...
C = $700

Judy's heart beats 70 times a minute. At this rate, how many times does her heart beat in an hour?

Answers

Answer:

4,200 hbph

Step-by-step explanation:

Hope this helps and have a great day!!!

Answer:

4200 times

Step-by-step explanation:

If there is 70 beats in a minute, and 60 minutes in an hour. All you do is 70*60.

Need help on this asap please

Answers

Answer:

the second one

so B

Step-by-step explanation:

Answer:

3.15=315% is true

Step-by-step explanation:

The last one D is true

I hope this helps. Best of luck

A circle has a radius of 5 inches. What is the circumference of the circle? Use 3.14 for pi.

Answers

Answer:

C≈31.42in

Step-by-step explanation:

Answer:

The circumference of a circle is given by

C = 2 * pi *r

C = 2 * 3.14 * 5

C =31.4 inches

2x+3y=3
y=8-3x

The value of y is substituted back into the first equation what is the resulting equation?
what is the value of x?
what is the value of y?

Answers

Answer:

2x + 3 (8 - 3x) = 3

x = 3

y = -1

Step-by-step explanation:

pretty sure thats right! have a great day!

PLEASE ANSWER I REALLY NEED HELP

Determine which of following points lie in the solution set of the inequality y >= 2x-4 and which do not. Justify each choice.

a) (5,4)
b) (0,1)
c) (10,16)
d) (2,-1)

Answers

Plug in the x and y values in the inequality.
A) 4>2(5)-4 C) 16>2(10)-4
4>6 16>16


B) 1>2(0)-4 D) -1>2(2)-4
1>-4 -1>0

Solution B makes sense since 1 is greater than -4. Solution A and D does not because they are less than the y value. Solution C isn't either because the inequality is saying the y value is greater than the x value and not equal to.

The points lie on the given inequality y ≥ 2x-4 are  (0,1) and (10,16)

What is inequality?

A relationship between two expressions or values that are not equal to each other is called inequality.

Given that an inequality y ≥ 2x-4

We need to check whether the given points lie on the solution of the inequality or not,

1) (5, 4)

Put x = 5

2×5-4 = 10-4 = 6

4 ≥ 6, this is a contradiction which means (5, 4) do not lie on the solution,

2) (0, 1)

Put x = 0

2×0 - 4 = 0-4 = -4

1 ≥ -4, satisfying the condition hence lies on the solution.

3) (10, 16)

Put x = 10

2×10-4 = 20-4 = 16

16 = 16. satisfying the condition hence lies on the solution.

4) (2, -1)

Put x = 2,

2×2-4 = 4-4 = 0

-1 ≥ 0, this is a contradiction which means (5, 4) do not lie on the solution,

Hence, points lie in the solution set of the inequality are (0,1) and (10,16)

For more references on inequality, click;

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State the domain: x^2 +16x+64

Answers

Answer:

All real numbers

Step-by-step explanation:

x² + 16x + 64 is a parabola that opens up, when graphed.

This means it will have a U shape that will infinitely extend outwards in both directions, across the x axis.

So, the domain will include all real numbers.

Rhion sat maths and English test
In the maths she scores 14 out of 17
In th english test she scored 31 out of 39
which one did she do better.

Answers

Answer:

Rhion did better in maths test.

Step-by-step explanation:

Given that:

Rhion scored 14 out of 17.

We will find percentage and then compare them.

Percentage = [tex]\frac{Score}{Total\ marks}*100[/tex]

Percentage = [tex]\frac{14}{17}*100[/tex]

Percentage = 82.35%

Rhion scored 31 out of 39.

Percentage = [tex]\frac{31}{39}*100[/tex]

Percentage = 79.48

On comparing,

82.35 > 79.48

Hence,

Rhion did better in maths test.

A 2-D shape has a length of 8cm and a width of 3cm. Find the perimeter and the area.
With steps please. ​

Answers

Answer:

Area formula: l x w

= 8 x 3

24 cm^2

Perimeter formula: Sum of all sides

= 8+8+3+3

= 25 cm

Answer: 24cm

Step-by-step explanation:

8 multiplied by 3

You must be at least 42 inches tall to ride the bumper cars at an amusement park. Write an inequality that represents this situation. Let x represent the heights of people who are allowed to ride the bumper cars.

Answers

Answer:

x ≥ 42

Step-by-step explanation:

If you must be at least 42 inches tall to ride the bumper cars at an amusement park, this means that the minimum average height you can have is 42in i.e you can be more than 42inches tall.

The right inequality sign to represent this situations is a "greater than or equal to sign"(≥)

If x represent the heights of people who are allowed to ride the bumper cars, the required inequality expression will be x ≥ 42

can someone PLEASE help me find z and x !! (i will mark you brainliest)

Answers

Answer:

X=24 Z=110

Step-by-step explanation: correct me if im wrong because im not 100% sure.

Answer:

z=110° and x=24°

Step-by-step explanation:

z°=(5x-10)°[Being the pair of vertically opposite angle]

z+70°=180[Being the pair of straight angle]

or, z=180-70

z= 110

Again ,

z=(5x-10)°

or, 110=5x-10

or, 110+10=5x

or, 120=5x

or, 120/5=x

x=24°

Multiple Choice: What method can be used to prove the triangles below are congruent? * Angle Side Angle (ASA) Angle Angle Side (AAS) Option 1 Option 2 Not Congruent Hypotenuse Leg (HL)​

Answers

Answer:

angle side angle

Step-by-step explanation:

what is 4.8 × d = 1.2​

Answers

Answer:

0.25

Step-by-step explanation:

1.2 divide by 4.8=0.25

0.25*4.8=1.2

5 = .25

4.8 x .25 = 1.2

Sara went shopping. She bought six oranges at $0.25 each, two apples at $0.40 each, three plums at $0.18 each. She gave the cashier $5.00. How much change will Sara receive from the $5.00?​

Answers

Answer:

$2.16

Step-by-step explanation:

Amount of change received

= $[5.00-0.25(6)-0.40(2)-0.18(3)]

= $(5.00-1.50-0.80-0.54)

= $2.16

Scott and Cassie are selling pies for a school fundraiser. Customers can buy cherry pies
and apple pies. Scott sold 4 cherry pies and 6 apple pies for a total of $88. Cassie sold 8
cherry pies and 7 apple ples for a total of $126. What is the cost of each pie?
Cherry pies cost
and apple pies cost

Answers

Answer:

9.42857142857

Step-by-step explanation: Is a long decimal so you could just round it to 9.43

There are 40 animals in Mang Roman's farm.The ratio of cows to carabaos to goats to horses is 4:2:3:1. How many animals of each kind are there in Mang Roman's farm.

Answers

Answer:

there are

16, 8, 12 and 4 different animals

Step-by-step explanation:

Step-by-step explanation:  

Step one:  

given data

Number of Animals = 40

The given ratio is = 4:2:3:1  

The total ratio is = 4+2+3+1= 810

Step two;

Applying the part to all method

The first animal  

4/10=x/40

cross multiply  

10x= 40*4  

divide both sides by 10

x= 160/10

x= 16

for second we have  

2/10=x/40

cross multiply  

10x= 40*2  

divide both sides by 10

x= 80/10

x= 8

for the third  we have

3/10=x/40  

cross multiply  

10x= 40*3  

divide both sides by 10

x= 120/10

x= 12

for the fourth  we have

1/10=x/40  

cross multiply  

10x= 40*1  

divide both sides by 10

x= 40/10

x= 4

I just learned this kind of confused :(

Answers

Answer:

9.4247

Step-by-step explanation:

c= πd, c=(3.14)d , 3 is the diameter so we put it in the d spot. So c=(3.14)3 and you multiply those together to get the circumference.

Which expression is NOT equivalent to 2.89 × 0.6?
(289 × 6) × (110 × 110)
(0.289 × 6) × (10 × 110)
(289 × 6) × (1100 × 110)
(289 × 60) × (1100 × 1100)

Answers

Answer:

(289x6)x(110x110)

Step-by-step explanation:

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