Express x2 + 4x - 7 in the form (x + a)? - b where a and b are integers.​

Answers

Answer 1

Answer: (x+2)^2 -11

Step-by-step explanation:

X^2 +4x -7

Half the middle term, add it to x and put them into a bracket and square it

(X+2) ^2 -7

Square the second term to get 4 and then take that away from 7. (We do this because if we had the extra 4, our answer when’s we multiplied out of the brackets wouldn’t be x^2 +4x -7.)

(X+2)^2 -7 -4

Now simplify the whole numbers outside the bracket

(X+2) ^2 -11


Related Questions

What is 10 plus 5 to the 3 power minus 1? Order of operation

Answers

3374 is the answer.


Hope this helped!! :)

Step-by-step explanation:

(10+5)³-1 = 3375-1 = 3374.

19 /5 as a mixed number

Answers

Answer:

[tex]\frac{19}{5}= 3\frac{4}{5}[/tex]

Step-by-step explanation:

5 can go into 19 three times. This will leave a remainder of 4. Therefore, 19/5 as a mixed number is 3 4/5.

Lunch trays are stacked in
4 stacks with 25 trays in
each stack. How many
lunch trays are in the stacks
altogethere Show your
work.

Answers

Answer:

4 stacks and 25 in each stack

its asking you what is the total so

25*4=100

so 100 trays altogether

Answer:

100

Step-by-step explanation:

25+25+25+25

50+50

100

If GH is an altitude, what would mZGHF have to be?

Answers

Answer:

Using this formula, we can derive the formula to calculate the height (altitude) of a triangle: Altitude = (2 × Area)/base.

Step-by-step explanation:

Which of the following is equivalent to the expression 2/5 divided by 4 ?


A


5/2×4



B
2/5



C
2/5×1/4



D
2/5÷1/4

Answers

Answer:

C) 2/5×1/4

Step-by-step explanation:

Dividing by a number is the same by multiplying by the reciprocal of the number.

For Example:

1/2 divided by 3 would be the same as 1/2 x 1/3

So for this problem we are given that 2/5 is divided by 4 which would be the same as 2/5 multiplied by the reciprocal of 4 which is 1/4 and thus the answer is option C which is 2/5×1/4

If g(t) = 5t^2 - 3t - 3 and h(t) = 7t^2 + 9t - 8, find g(t) + h(t)

Answers

[tex]g(t) + h(t)\\\\=(5t^2 -3t -3)+(7t^2 +9t -8)\\\\=12t^2+6t-11[/tex]

On October 1, Organic Farming purchases wind turbines for $140,000. The wind turbines are expected to last six years, have a salvage
value of $20,000, and be depreciated using the straight-line method.
1. Compute depreciation expense for the last three months of the first year.
2. Compute depreciation expense for the second year.

Answers

9514 1404 393

Answer:

$5000$20,000

Step-by-step explanation:

1.

The annual depreciation is the predicted change in value each year. The change in value for 6 years is predicted to be ...

  $140,000 -20,000 = $120,000 . . . . loss of value in 6 years

3 months is 1/4 of one year, so the loss of value in that time period is ...

  $120,000/6 × 1/4 = $5000

The depreciation expense for the last 3 months of the first year is $5000.

__

2.

The depreciation expense for the second year is ...

  $120,000/6 = $20,000

Compute the total amount accumulated if you invested $3,000 for 6 years at 3% compounded
quarterly. Round your answer to the nearest cent and include '$' in your response.

Answers

Answer:

$3,582.16

Step-by-step explanation:

Can someone answer this for me?

Thanks!

Answers

Hiii :))

Answer is in the attachment.

Identity used :-

1) cosec² α = 1 + cot² α

Trigonometric Ratio :-

1) cot 30° = √3

_____

Reddam is an expensive school, right?

RainbowSalt2222 ☔

Answer:

hello :-D

Step-by-step explanation:

A college employs 15 stewards. What is the average monthly wage of the stewards if the college pays 226.20 in wages each month?​

Answers

Answer:

$15.08

Step-by-step explanation:

As the value 226.20 is the total of all wages, you can work out the mean.

Mean averages are usually worked out as the total / number of values.

Because you already know the total is 226.20 and the number of values is 15 different wages, divide 226.20 by 15 to get $15.08.

Evaluate 10.5s + 9.9t when s=3 and t = 4

Answers

Answer:

71.1

Step-by-step explanation:

Answer:

71.1 is the answer

Step-by-step explanation:

The sum of two numbers is 65. The larger number is 5 more than the smaller number. What are the numbers?

Answers

Step-by-step explanation:

the numbers : x, y

x + y = 65

x = y + 5

we use the second equation in the first equation :

y + 5 + y = 65

2y + 5 = 65

2y = 60

y = 30

x = y + 5 = 30 + 5 = 35

simple math question!!!

Answers

There are 25 boxes and 15 of them are shaded.

15/25 = 0.6 = 60%

Answer:

15%

Step-by-step explanation:

Because 5 x 3 = 15%. So the answer is 15%

find the zscore which the area to the left is 0.46

Answers

Answer:

  Z ≈ -0.100

Step-by-step explanation:

A suitable calculator, spreadsheet, or table of the normal distribution can tell you the answer. Attached in the result using a spreadsheet. The function arguments are (area, mean, standard-deviation).

  Z ≈ -0.100

(C+X)/X
can be simplified as:​

Answers

[tex] \frac{(c + x)}{x} \\ \\ \frac{c + x}{x} [/tex]

it's can simplify sorry

write 90 cm as percentage of a metre??​

Answers

Answer: 90%

Step-by-step explanation:

90 cm is 0.9 m

and 0.9 m is 90% of 1 m

90% is your answer sorry if wrong

6.
Which of the following is the graph of the equation y = −2x2 − 3x + 4?

Answers

Answer:

From the looks of the graph, it looks like the answer will be Letter C. (The last graph).

Step-by-step explanation:

Graph the parabola using the direction, vertex, focus, and axis of symmetry.

Direction: Opens Down

Vertex:  ( − 3 /4 ,  41 /8 )

Focus:  ( − 3 /4 ,  5 )

Axis of Symmetry:  x = − 3 /4

Directrix:  y = 21 /4

x                  y

− 3               − 5

− 2                2

− 3                4

41                8

0                 4

1                 − 1

The first recorded Olympic game began in 776 called the Asian Olympics games were held every four hours until being abolished by the Roman emperor Theodosius in 393 determine the length of time between the start of the ancient Olympics and the modern Olympics which began in 1896

Answers

Answer:

1503 years

Step-by-step explanation:

Although the ancient Games were staged in Olympia, Greece, from 776 BC through 393 AD, it took 1503 years for the Olympics to return. The first modern Olympics were held in Athens, Greece, in 1896.

what is the percent of $300,000=$75,000​

Answers

Answer:

25%

Step-by-step explanation:

75000/30000=75/300=25/100=25%

Answer:

25%

Step-by-step explanation:

(75,000​/300,000) (100)

(0.25) (10)

= 25

In which quadrant does the point (13 , 20) lie? A. Quadrant III B. Quadrant I C. Quadrant IV D. Quadrant II

Answers

Answer:

B.

Step-by-step explanation:

The first quadrant is the upper right-hand corner of the graph, the section where both x and y are positive. The second quadrant, in the upper left-hand corner, includes negative values of x and positive values of y. The third quadrant, the lower left-hand corner, includes negative values of both x and y.

help me with this please

Answers

One can of beans is 85p

So

3 cans is
85 +85 +85 = 255

= £2.55 for 3 cans

3.) Write the equation of a quadratic function that is shifted down 4 and horizontally compressed by 1/5

Answers

Answer:

[tex]5x^2 - 4[/tex]

Step-by-step explanation:

For shifted down a function you have to follow the next structured:

[tex]f(x) - c[/tex]

In our case is:

[tex]x^2 - 4[/tex]

Now for compressed or shrink a graph you have to multiply by a factor in the input something like this:

[tex]f(cx)[/tex]

In our case is:

[tex]5x^2[/tex]

Maybe you can think, why 5 and not [tex]\frac{1}{5}[/tex] instead?. Well, when you multiply by [tex]\frac{1}{5}[/tex] this dilate or stretch the graft because the output of each value is smaller, example:

[tex]f(x) = x^2\\g(x) = \frac{1}{5} x^2[/tex]

Then evaluate for a number, for example 5:

[tex]f(5) = 25\\g(5) = 5[/tex]

the output of [tex]g(x)[/tex] is 5 steps a far from the answer of [tex]f(x)[/tex] this in a graph is illustrate as a stretching.

So the opposite happen when you multiply by a integer number, the graph is compressed because the output take the "faster steps".

So combine the two transformation and get [tex]5x^2 - 4[/tex]

simplify 5/13 ( 75 - 49)​

Answers

Answer:

The answer is 10.

Step-by-step explanation:

I'm certain this is correct. :D

Help me with this answer please​

Answers

Answer:

£6.25

Step-by-step explanation:

2.25 x 15 = 33.75

40 - 33.75 = 6.25

Answer:

£6.25

Step-by-step explanation:

Hii,

So if each lesson is 2.25, you times this by 15 to get the total amount of payment. £2.25 x 15 = 33.75

To get change, you need to take away the amount you are giving by how much the bill is.

£40 - £33.75 = £6.25

I hope this helped :P

PLEASE HELP! Economics

Answers

100 francs = 50 dollars

Exchange rate = 50/100

= 1/2

= 0.50 dollars per franc (C)

Note :-

It's dollars per franc because here the dollar has more value.

______

RainbowSalt2222 ☔

Answer:

Im pretty sure it is c

Step-by-step explanation:

Which equation represents a line that is parallel to the line 4x-3y=15
1) y = -4/3x - 4
2) y = -3/4x - 2
3) y = 4/3x + 2
4) y = 3/4x - 6

Answers

Answer:

1

Step-by-step explanation:

because... it is

What is the missing length?

Answers

The missing length is 51.5, I hope this helps :)

Answer:

Length=12mi

Step-by-step explanation:

Area=123.6mi^3

Width=10.3mi

Length=u

Formula: Area=LxW

Area÷W=u

123.6÷10.3=12

Length=12mi

Hope this helps :)

.ggzgugimjhzieejwjdjnenwuene

Answers

Answer:

what da hel.l I didn't understood anything

The staff at a company went from 40 to 29 employees. What was the percent change in the number of staff?

Answers

Answer: 27.5% decrease in the staff

Step-by-step explanation:

Water leaks from tanker at a rate of 8L/h. How much water will leak from the tank in: a: 2 Day. b: 2 Weeks

Answers

Answer:

look at the picture ..........

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Jax Incorporated reports the following data for its only product. The company had no beginning finished goods inventory and it usesabsorption costingSales price$ 57.50 per unitDirect materials$ 10.50 per unitDirect labor$ 8.00 per unitVariable overhead$ 12.50 per unitFixed overhead$ 1,237,500 per year1. Compute gross profit assuming (a) 75,000 units are produced and 75,000 units are sold and (b) 110,000 units are produced and75,000 units are sold.2. By how much would the company's gross profit increase or decrease from producing 35,000 more units than it sells?Answer is complete but not entirely correct.Complete this question by entering your answers in the tabs below.Required 1Required 2Compute gross profit assuming (a) 75,000 units are produced and 75,000 units are sold and (b) 110,000 units are producedand 75,000 units are sold.(a) 75,000 Units (b) 110,000 UnitsProduced andProduced and75,000 Units Sold 75,000 Units SoldSales4,312,5004,312,500 What are some of the effects of the disabilities act of 1990? PLS HURRY I WILL GIVE BRAINLIEST PLSSSSSSSSSSelect the TWO African regions on the map that remained independent through the nineteenth century. a 20 pound platter of cookies costs $77. the platter is a mix of peanut butter that costs $4 per pound, sugar that costs $3 per pound, and chocolate chip thats costs $4.50 per pound. there are two more pounds of sugar cookies than peanut butter. how many pounds of sugar cookies are on the platter? Write a paragraph explaining why someone is helpful if they serve on a jury(i dont care if you dont do it i just need to get rid of some points) Did Tom Robinson ever have a chance at a fair trial? Sales of different ice cream flavors at a small ice cream shop were recorded for one week. The graph shown here displays the sales of each different flavor.What is the mean of the data?A)6B)7C)8D)9 under the same conditions of temperature and pressure how does a liquid differ from a gas Determine which statement is true if JKLM ~ NOPQ 2 Describe how grieving may impact a patient's compliance with a treatment plan Help meeeeeee lzzzzzz 1. A scuba diver wants to dive more than 2 1/2, times his previous deepest dive. That means he has to dive at least 80 feet below the surface of the ocean. This dive is represented by the inequality 2 1/2p < -80, where p is the distance below the surface of his previous deepest dive. The scuba driver's previous deepest dive was ____ feet below the surface of the ocean.________________________________Veronica live on a straight road that goes east and west. She starts from a point 5.1 miles west of her home and drives a certain distance to the store the store is more than 3 and 1/2 miles east of her home. let D represent the distance Veronica drove. which inequality represents this situation?A. -5.1 + d > 3 1/2B.-5.1 + d > -3 1/2C.-5.1 + d > 3 1/2D.- 5.1 + d > -3 1/2________________________________Alex needs to represent the statement as an inequality half of a number is more than 1 and 1/3 Di (tell) que usaria para hacer lo siguiente. Escriba una oracio1. Pintarse las uas2. Cepillarse los dientes3. Secarse el pelo4. Secarse las manos5. Pintarse los labios Suppose you were hired to work on the campaign of a 2020 presidential candidate. Your job was to reach out to the group of people most likely to vote. Which group should you target first 3 + 4x > 27First subtract ____ from both sides. Then ______ both side by 4 x > ______ help i don't understand this question and I would love to get the answer:) What are the solutions to the quadratic function. f(x) = x^2+4x-12 write a letter to your sister about her negative bad behaviour and advice her about this Cual es el resultado de 12/6? Can you PLEASE help me with this?