Rewrite x2 − 6x + 7 = 0 in the form (x − a)2 = b, where a and b are integers, to determine the a and b values.

a = 4 and b = 3
a = 3 and b = 2
a = 2 and b = 1
a = 1 and b = 4

Answers

Answer 1

Answer:

a = 3 and b = 2

Step-by-step explanation:

From completion of squares:

[tex] {x}^{2} - 6x + 7 = 0 \\ \{ {x}^{2} - 6x + { (\frac{6}{2} )}^{2} \} + 7 - {( \frac{6}{2}) }^{2} = 0 \\ ( {x}^{2} - 6x + {3}^{2} ) = 2 \\ { \boxed {{(x - 3)}^{2} = 2}}[/tex]

a is 3

b is 2

Answer 2

Answer:

Answer B : a = 3 and b = 2

Step-by-step explanation:

Give man above brainlyiest he deserives it


Related Questions

(18 - 3)2 = ?
show your work
help me pls ty​

Answers

Answer: 30

Step-by-step explanation:

18 - 3 is in the parenthesis so you have to solve that first. it’s 15 so the equation would then become (15)2 which is equal to 15 times 2. 15 times 2 equals 30.

Algebra Please Help!!

Answers

Answer:

c = 5/9 (F-32)

F-32 = c ÷ (5/9)

F-32 = c × (9/5)

F-32= 9c/ 5

F= (9c/5) + 32

I hope I helped you^_^

Find the equation of the line perpendicular line displayed below that passes through the point (-3,2). Explain your process. Express your answer in point-slope form

Answers

9514 1404 393

Answer:

  y -2 = 1/4(x +3)

Step-by-step explanation:

Process: find the negative reciprocal of the slope of the line shown and put the appropriate values into the point-slope equation.

__

The slope of the given line can be found as the ratio of rise to run between the marked points.

  m = rise/run = -8/2 = -4 . . . . counting grid squares

The desired line has a slope that is the opposite reciprocal of this:

  m' = -1/m = -1/-4 = 1/4

The point-slope equation of a line with slope m through point (h, k) is ...

  y -k = m(x -h)

Then the desired line with slope 1/4 through point (-3, 2) has equation ...

  y -2 = 1/4(x +3)

Determine if the following are functions of x.


(a) 5(y + 1)3 + x2 = 1

Answers

9514 1404 393

Answer:

  is a function

Step-by-step explanation:

The graph passes the vertical line test, so the relation is a function of x.

Indicate which is the largest decimal in each of the following pairs.
0.01 and 0.005

Answers

Answer:

0.01

Step-by-step explanation:

0.01 is the largest decimal in the pair of 0.01 and 0.005

Help solve please due tomorrow, thanks. 3x − 5 = 2x + 2

Answers

[tex] \huge \boxed{\mathfrak{Question} \downarrow}[/tex]

3x − 5 = 2x + 2

[tex] \large \boxed{\mathfrak{Answer \: with \: Explanation} \downarrow}[/tex]

[tex] \large \sf \: 3x - 5 = 2x + 2[/tex]

Subtract 2x from both sides.

[tex] \large \sf \: 3x-5-2x=2 [/tex]

Combine 3x and -2x to get x.

[tex] \large \sf \: x-5=2 [/tex]

Add 5 to both sides.

[tex] \large \sf \: x=2+5 [/tex]

Add 2 and 5 to get 7.

[tex] \large{ \boxed {\bf \: x=7 }}[/tex]

Find the value of 9 - [4 2 - (3 + 2)].
8
6
-2

Answers

Answer:

-2

Step-by-step explanation:

9 - [4^2 - (3 + 2)]

PEMDAS says parentheses first

Working from inside out

9 - [4^2 - (5)]

9 - [16 - (5)]

9 - [11]

Subtract

-2

Step-by-step explanation:

hope it is visible and makes sense

:)

if 3x+7 Y-37 and x = 3, then Y = ?

Answers

Answer:

y = 4

Step-by-step explanation:

Given

3x + 7y = 37 ← substitute x = 3 into the equation

3(3) + 7y = 37, that is

9 + 7y = 37 ( subtract 9 from both sides )

7y = 28 ( divide both sides by 7 )

y = 4

Step-by-step explanation:

Which of the following statements is false?
If a number is divisible by 8, it must be divisible by 4.
If a number is divisible by both 9 and 10, it is divisible by 90.
The sum of two consecutive odd numbers is always divisible by 4.
If a number is not divisible by both 3 and 4, it is divisible by 12.​

Answers

Answer:

The last one

Step-by-step explanation:

It doesn't make sense for that to be true

find the smallest n so that all all of the numbers are natural, 27+n, n/3 , square root of (n+16)​

Answers

Answer:

9

Step-by-step explanation:

We know it has to be a multiply of 3

27 + 3 = 30 nat number

3/3 = 1 nat number

sq root 19 not nat number

27 + 9 = 36 nat number

9/3 = 3 nat number

sq root 25 = 5 nat number

correct!

If my answer is incorrect, pls correct me!

If you like my answer and explanation, mark me as brainliest!

-Chetan K

Find the x-intercept of the line graphed by the equation x - 7y = 7. (0, 14) (7, 0) (14, 0) (0, 7)

Answers

x-7y=7
To find the x-intercept, substitute y=0
x-7×0=7
x-0=7
x=7
∴ the x-intercept of the line is (7,0)

What is the value of the expression?

3 * [(2 * 6 - 5) + (8 divided by 4)] - 1

A. 9
B. 11
C. 26
D. 32
Show Work!

Answers

[tex]3\cdot[(2\cdot6-5)+(8:4)]-1=\\\\=3\cdot[(12-5)+2]-1=3\cdot(7+2)-1=\\\\=3\cdot9-1=27-1=\boxed{26}[/tex]

Hurry!
The simple meaning of a translation is?
O Slide
O Flip
O Turn
O Change in size

Answers

Answer:

to turn

Step-by-step explanation:

to translate in a simple definition is to turn something of a shape into another form of shape example for you to translate a language into another language in a sentence, you have to turn the letters of that language into the specific language that you want to translate

Using the Principle of Mathematical Induction, prove that . n ^2 − n is even for n ≥ 1​

Answers

Base case: if n = 1, then

1² - 1 = 0

which is even.

Induction hypothesis: assume the statement is true for n = k, namely that k ² - k is even. This means that k ² - k = 2m for some integer m.

Induction step: show that the assumption implies (k + 1)² - (k + 1) is also even. We have

(k + 1)² - (k + 1) = k ² + 2k + 1 - k - 1

… = (k ² - k) + 2k

… = 2m + 2k

… = 2 (m + k)

which is clearly even. QED

Which expression has a negative value?
7-31-4/2)
(15-7)-(9:3)
0-517+(-14) ]- 30

Answers

Answer:

the answer is 7+3(-4)(2)

Given: g(x) = -4x and h(x) = 4x +3
Find: g(h(x+1))

Answers

Answer:

-16x-28

Step-by-step explanation:

h(x+1)= 4(x+1)+3 = 4x+7

g(h(x+1))= -4[4x+7] = -16x-28

Which of the following correctly represents the movement on the number line for the calculation 21 - (- 15) + (- 30) ?

Answers

Answer:

It moves 6 to the right.

Step-by-step explanation:

21 -(-15) = 36

36+(-30)=6

Carmen is riding her bicycle. She rides for 22.5 kilometres at a speed of 9 kilometers per hour. For how many hours does she ride?

Answers

Answer:

2.5 hours

Step-by-step explanations:

22.5/9 = 2.5

Hope this helps! :D

How do we show 425/1000 as a decimal?

Answers

Answer:

0.425

Step-by-step explanation:

bro this is like 1st grade math

your answer would be 0.425 :))

447,077 is ____________________then 347,077.

Fill in the blank.​

Answers

447,077 is  greater than 347,077

447,077 greater than 347,077 by 100,000

447,077-347,077= 100,000

I can list more if you want! I hope I've helped!

write the simplest form 1/6 + 2/3 + 3/4

Answers

Answer: The answer is 1  7/12

                                       

When 2 lines cross, 2 pairs of vertical angles are formed. What is the sum of all 4 angles?

A.
180°
B.
270°
C.
360°
D.
540°

Answers

Answer:

C. 360°

Step-by-step explanation:

Two pairs form a complete angle with a sum of 360°.

Algebraic Expressions Use the Distributive Property to expand each expression 4(3x-9)​

Answers

Answer:

12x-36?

Step-by-step explanation:

well 4×3x and 9× 4 gives the answer

You buy 1.86 pounds of ground beef 2,8

Answers

what is this question asking?
maybe try 3.87

On Monday Ryan picked a third of a pound of strawberries. On Tuesday he
icked three-fourths of a pound of strawberries. What was the total weight of the
trawberries Ryan picked?

Answers

Answer:

[tex]17 \frac{1}{3} [/tex]

Step-by-step explanation:

1/3 pound = 5.333 ( 5 1/3 ) ounces

3/4 pound = 12 ( 12 ) ounces

what is the solution of linear equation of cosx(e^2y-y)=e^y sin2x

Answers

This is college? Woah I'm not advanced. Middle school!

Which expression is equivalent to the given expression? 2x^2-14 +24

Answers

Answer:

Equivalent expression is (x - 4)(x - 3)

Step-by-step explanation:

[tex] {2x}^{2} - 14x + 24[/tex]

find the factors:

[tex] = (x - 4)(x - 3)[/tex]

(2x-12)(x-2)

after multiplying you'll get the same

1 1/4 cups of flour per 1/8 cup of butter what is the unit rate

Answers

Answer:

10 cups of flour per cup of butter

Step-by-step explanation:

1.25 cups of flour per 1/8 cup of butter

1 ÷ 1/8 = 8

1.25 * 8 = 10

If my answer is incorrect, pls correct me!

If you like my answer and explanation, mark me as brainliest!

-Chetan K

Prove: [tex]\frac{a}{b}[/tex] = \frac{c}{d}[/tex], then[tex]\frac{a+b}{b} = \frac{c+d}{d}[/tex]. show work pls :)

Answers

Step-by-step explanation:

[tex]\dfrac{a}{b} = \dfrac{c}{d}[/tex]

Add 1 to both sides of the equation:

[tex]\dfrac{a}{b} + 1 = \dfrac{c}{d} + 1[/tex]

Note that

[tex]\dfrac{a}{b} + 1 = \dfrac{a + b}{b}[/tex]

Likewise,

[tex]\dfrac{c}{d} + 1 = \dfrac{c + d}{d}[/tex]

Therefore,

[tex]\dfrac{a + b}{b} = \dfrac{c + d}{d}[/tex]

Consider the equation −8x−5y=−10
A line parallel to the above line would have a slope of
A line perpendicular to the above line would have a slope of

Please Help!!

Answers

Answer:

Explanation :

The slope of the line with the equation -8x - 5y= -10 is -8/5 so the line parallel to it will have a slope of -8/5 because parallel limes have the same slope.

The line perpendicular to it will have a slope of 5/8. This is because the slopes of perpendicular lines add up to -1.

Hope this help

Other Questions
Simplify 8/11 divided by 4 Anyone know these car symbols? Rony earns 17 dollars less than half of what John earns. If John earns p dollars, how much does Rony earn in dollars?a. p - 1/2b. 1/2 + pc. (p/2) - 17d. 17 + (p/2) Good science requires that you record your observations accurately.TrueFalse The graph represents a function.Which ordered pair can be plotted together with these four points, so that the resulting graph still represents a function?O (0,0) 0 (-3,1) 0 (1,3) O (31) Which is one ofthe six fundamental elements that are found in living organisms? Define terminating and non terminating decimals. what does noun mean Is the earth flat or round or a donut? what is equivalent to -7/-9 twice a number added to the product of 14 and 2 is 30. find the number Any two waves that meet as they travel through the same medium will interact. If the two waves are in phase their crests will coincide and they will experience _____ interference, producing a wave with a(n) _____ amplitude. define scheduled caste on the basis of the daily work for living? look at the image bellow 0 can be natural number true or false If a company has sales of $130 in 2021 and $182 in 2020, the percentage decrease in sales from 2020 to 2021 is 40%.TrueFalse what is the length of an arc subtended by an angle of 1.25 radians in a circle with a diameter of 24 cm? Use the map below to identify the labeled locations.Question 1 options:BrazilChileBuenos AiresFalkland IslandsMouth of Amazon River1. A2. B3. C4. D5. E How do you feel when you cant do something ? from "Nashah's Rescu"dapted from "Nasbah's Rescue"Itemday so that his grandchildren of the This Nastia wasenough to be to the way she could work bude her olderItemthe preached the sheep bee tinkled sweetly, andGrandfather three sheepdogs rant beside the sheep turning backtersNashara past Grandfather and her brothers to the back of the flockSheWher mother she wanted to make sure the lambs made it downthe sleep fail to the bottom of the canyonJust make sure my lamb makes it safely, her mother had said, fountingNasbahar lovingly6 As the sheep slowly picked their way down the trail Nasbah heardGrandfather singing in Navajo She loved to hear him sing the oldsongs, especially the ones about nature Sometimes when she was atschool in Chine, she was afraid she'd forget the beauty of this canyonand the wash belowsis