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

Subtract from (4x- 5y+3z) from the sum of (9x+2y-3z), (-10x+ y- z) and (2x+ 3y+ 7z).
Explain​

Answers

Step-by-step explanation:

★First let's find out the sum.

(9x + 2y - 3z) + (-10x + y - z) + (2x + 3y + 7z)

= (9x - 10x + 2x) + (2y + y + 3y) + (-3z - z + 7z)

= (x) + (6y) + (3z)

= x + 6y + 3z

Now subtraction:

(x + 6y + 3z) - (4x - 5y + 3z)

= (x + 6y + 3z - 4x + 5y - 3z)

= (x - 4x + 6y + 5y + 3z - 3z)

= -3x + 11y

★∴Answer is -3x + 11y

______________________

The price was reduced from two thousand, four hundred ninety-eight dollars to one thousand, nine hundred ninety- nine dollars. By how much was the price reduced?​

Answers

Answer:

$499

Step-by-step explanation:

Since the price was reduced from an amount which is $2,498. You have to take that amount and the other amount which is $1999 and subtract them both.

2489-1999=499

(When you get your answer,make sure to add the dollar sign.)

The price was reduced by $499.

Two consecutive odd integers have sum of 44. Find the integers

Answers

Answer:

21, and 23

Step-by-step explanation:

divide 44 by 2 to find the integer that spits it up perfectly into two. Then just add 1 to one 22 and minus 1 to the other. Then its 21 and 23.

Mr. Reyes baked 4 batches of muffins for his class each batch had 12 muffins. if Mr. Reyes Has 24 students, How many muffins will each student receive?

Answers

Answer:2 muffins

Step-by-step explanation: First you have to see how many muffins he baked. 12x4 = 48 thus giving us the amount of muffins he baked. 48 muffins. If each student gets the same amount of muffins 48/24 = 2.

So each person would get 2 muffins.

Hope this helps :)

There are 900 3-digit integers, the integers between 100 and 999, inclusive. What percent of these integers contain only odd digits

Answers

Each digit can be one of {1, 3, 5, 7, 9}, so there are 5 choices for each. Then there are 5•5•5 = 5³ = 125 integers containing only odd digits, which means they make of 125/900 ≈ 14% of them.

Bạn dự định đi học thêm vào mùa hè này. Nếu đi học bạn sẽ không thể đi làm với thu nhập là 5 triệu đồng và không thể ở nhà nghỉ ngơi. Học phí là 2 triệu, tiền mua giáo trình 300 ngàn, sinh hoạt phí là 1.5 triệu. Hãy xác định chi phí cơ hội của việc đi học thêm vào mùa hè này.

Answers

Answer:

4 better inbox

Step-by-step explanation:

6,600,000,000 exponential notation

Answers

Answer:

6.6 x 10^9

Step-by-step explanation:

· Carlos ran one lap in 1 minute 3 seconds. Orlando rana one lap 5 seconds faster than Carlos. How many seconds did it take Orlando to run one lap?​

Answers

Answer:

58 seconds.

Step-by-step explanation:

Since one minute equals 60 seconds, Carlos took 63 seconds.

Orlando ran in 63 seconds - 5 seconds, which is equal to 58 seconds.

Find the square root of the following: 36
121​

Answers

Square root of 36 is 6 and for 121 its 11
36 square root of it is 6
121 square root of it is 11

(a) A box contains 7 red balls, 6 white balls, and 7 black balls. Two balls are drawn at random from the box (with replacement of the first before the second is drawn). What is the probability of getting a red ball on the first draw and a white ball on the second

Answers

Answer:

Step-by-step explanation:

20=total marbles

  7/20 × 6/20=  21/400   or 5.25%

   red     white

(REAL ANSWERS PLEASE)


х
у
4
-2
2
-1
0
o
-2
1
-4
2
Without graphing, what is the y-intercept of this function?
es )
A)
(0,0)
B)
(-2, 1)
(2, -1)
D
(4, -2)

Answers

Answer:

4 better explanation

Step-by-step explanation:

Answer:

C)

Step-by-step explanation:

(2,-1)

.
Solve using traditional division: 3,385 31.
109 R6
1009
108 R 37
109

Answers

Answer:

109r6

Step-by-step explanationi got it

1, 7, 13, 19, 25
Find the 20th linear term

Answers

Answer:

I think that the answer to your question is 115

The sum of 13 and 3 times a number is 31. What is the number?

Answers

Answer:

6

Step-by-step explanation:

yeah-ya ............... right?

Answer: 6

Step-by-step explanation:

13 + 3 × n = 31

n represents unknown number

13 + 3n = 31

-13           -13

3n = 18

/3      /3

n=6

15.
The number of calories in a 100-g serving of fruit varies by the type of fruit. A snack consisting of
on serving each of peach, apple, and banana contains 124 calories. A snack consisting of two
servings of peach and one serving of banana contains 160 calories. A snack consisting of one
serving of peach, 2 servings of apple, and two servings of banana contains 188 calories. How
many calories are in a 100-g serving of each type of fruit?

Answers

Answer:

A=24, B=40, P=60

Step-by-step explanation:

given:

P+A+B=124

2P+B=160

P+2A+2B=188

___________

P=188-2A-2B

P=124-A-B

188-2A-2B=124-A-B

188-A-B=124

188=124+A+B

A+B=64

___

P+A+B=124

P=60

___

2P+B=160

120+B=160

B=40

___

A+B=64

A=24

___

If we substitute each variable in the three given equations for these values, the equations hold true. Therefore, these are the correct values.

QUICK! I NEED HELP!!
------------------
t + 9.35 = 12 1/4

Enter your answer as either a decimal or a mixed number in simplest form in the box.

t =

Answers

Answer:

2.9

Step-by-step explanation:

Answer:

t = 2.9t= 2 9/10

Step-by-step explanation:

t + 9.35 = 12 1/4

t + 9.35 = 12.25

t  = 12.25 - 9.35

t = 2.9

(2.9) + 9.35 = 12 1/4

12.25=12 1/4

12 1/4 = 12 1/4

A) y = 5x

B) y = 10x

C) y = 7.5x

D) y = 30x​

Answers

Y=30x is the answer to this

33% of what number is 1.45? Round to the nearest tenth.

Answers

Take the unknown number as 'y'.

=》33% = 33/100

=》1.45 = 145/100

33/100 × y = 1.45

33/100 × y = 145/100

33y = 145/100 × 100/1

33y = 145

y = 145/33

y = 4.39

______

RainbowSalt2222 ☔

4,39

I'm sorry if I'm wrong

54,392 rounded to the hundreds place

Answers

Answer:

54,400

Step-by-step explanation:

3. How many 1/8's are in 1 1/4?

Answers

Answer:

10

Step-by-step explanation:

There are two 1/8 in one 1/4. There are eight 1/8 in 1. 8/8 + 1/8 + 1/8 = ten 1/8.

PLZ HELP ASAP! WILL MARK BRAINLY

Answers

Step-by-step explanation:

42 5/9 + 7 1/12 = 49 23/36 metres

it is to be added because one ant is at the top and the other is deep below

solve please: 1/4x-5+1.2x​

Answers

Answer:

29x/20 - 5

Step-by-step explanation:

1/4x - 5 + 1.2x​

=> 0.25x - 5 + 1.2x

=> 1.45x - 5

=> 29x/20 - 5

Therefore, this is the simplified form: 29x/20 - 5

ILL GIVE BRAINLIEST! THIS IS DUE SOON PLEASE

Answers

Answer:

-3

Step-by-step explanation:

a. Simply put (x+h) wherever you have x.

[tex]f(x+h) = -3(x+h)+7 = -3x +7 -3h[/tex]

b. We have the first part, just subtract

[tex]f(x+h) = -3(x+h)+7 = -3x +7 -3h - (-3x+7) = -3x+7-3h +3x -7 = -3h[/tex]

c. Finally, we divide by h[tex]\frac{-3h}h = -3[/tex]

8488.75 times 24.50 plz quick

Answers

Answer:

207,974.375

I'm not sure if you need an explanation, and I myself, am not sure I can explain it to you, so I'll just give the answer to you.

Hope this helps!

HELPPPPPPPPPPPPPPPPPPP

Answers

Answer:

student a because the line has a negative slope not a positive slope

Step-by-step explanation:

Plx = 3 + 5x+2
Degree
Leading coefficient
Turning Points
End
Behavior of the
Graph

Answers

Answer:

cost of renting from company A

C = 15 + 2.30x

cost of renting from company B

C = 22 + 1.90x

equate both the equations

15 + 2.30x = 22 + 1.90x

2.30x - 1.90x = 22-15

0.4x = 7

x = 7/0.4 = 17.5

At 17.5 miles, cost will be equal.

Answer: 17.5 miles

8 glasses every 24 hours

Answers

Answer:

f(x)= 8x

Step-by-step explanation:

x represents the number of days. 8 represents the number of glasses per day.

1 glass every 3 hours is the unit time

please help, im literally so tired

Answers

Answer:

sameee lol

Step-by-step explanation:

Simplify the ratio 25 :15

Answers

Answer:

5/3

Step-by-step explanation:

Find the GCD (or HCF) of numerator and denominator

GCD of 25 and 15 is 5

Divide both the numerator and denominator by the GCD

25 ÷ 5

15 ÷ 5

Reduced fraction:  

5

3

Therefore, 25/15 simplified to lowest terms is 5/3.

brailiest pls hope it helps

а (b) Two ovens are used to bake banana cakes and chocolate cakes. Each oven will ding according to its setting time. A banana cake takes 50 minutes to bake wbile a chocolate cake takes 45 minutes to bake.
(i) If each cake is put into the ovens at the same time, what is the time taken until both ovens ding simultaneously?

(ii) When the both ovens ding, how many banana cakes and chocolate cakes are baked? ​

Answers

Answer:

(b)(i) LCM of 45 and 50 = 450

Hence, it take 450 minutes until both ovens ding simultaneously.

(b)(ii) 450÷50=9 banana cakes baked

        450÷45=10 chocolate cakes baked.

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