Imani and Todd were trying to solve the equation: x^2+6x+5=8x 2 +6x+5=8x, squared, plus, 6, x, plus, 5, equals, 8 Imani said, "I can factor the left-hand side into (x+1)(x+5)(x+1)(x+5)left parenthesis, x, plus, 1, right parenthesis, left parenthesis, x, plus, 5, right parenthesis, so I'll solve using the zero product property." Todd said, "I can solve by completing the square. If I add 444 to each side, I can rewrite the equation as (x+3)^2=12(x+3) 2 =12left parenthesis, x, plus, 3, right parenthesis, squared, equals, 12." Whose solution strategy would work? Choose 1 answer: Choose 1 answer:

Answers

Answer 1

Answer:

Todd's

Step-by-step explanation:

Given the expression x^2+6x+5=8, we are to determine which whether Imani or Todd method will work

Imani method might not work because he hasn't written the equation in standard form before factorizing. He should have equated the expression to zero first before factorizing and finding the zeros of the expression. The equation should have been written in the form ax²+bx+c = 0 first.

For Todd, his method will work because he used the completing the square method. The value at the right hand may not necessarily be zero before applying the rule. The idea is to make the quadratic equation complete and a perfect square.

This is achieved by adding the half of coefficient of x to both sides of the expression before simplifying.

From the expression x²+6x+5 = 8 we can see that adding 4 to both sides will make the quadratic equation on the left a perfect square.

x²+6x+5= 8

x²+6x+5+4= 8 +4

x²+6x+9 = 12

x²+3x+3x+9 = 12

x(x+3)+3(x+3) = 12

(x+3)(x+3) = 12

(x+3)² = 12

We can see that the expression at the left hand is now a perfect square. Hence Todd solution strategy will work

Answer 2

Answer:

only todd i got it from khan

Step-by-step explanation:


Related Questions

Which relation is a function?( click all that apply)

Answers

A, B, D are functions.
(First, second, and fourth response)
You can see which is function since for everyone input only has one value. You can also use the vertical line test.

Is this a function or no?

Answers

Answer:

no

Step-by-step explanation:

Find the value of x in the triangle below.

x = ?

Answers

Answer:

x=8

Step-by-step explanation:

hope i helped!!!

Answer:

61°

Step-by-step explanation:

180-58=122

122÷2=61

I am trying to find what x and y means please help
5x + y = 7

Answers

Answer:

X and Y are variables.

Consider that you have $7.  It costs $5 to buy a sandwich and $1 to buy a drink.

To find out what you can buy, and spend $7 (on the nose), we have the formula

5X + 1Y = 7

Answer:

x=1 y=

Step-by-step explanation:



PLEASE HELP 3x – 7 ≥ 4x + 2

Answers

Hi there!

[tex]\large\boxed{x \leq -9}[/tex]

3x - 7 ≥ 4x + 2

Subtract 3x from both sides:

3x - 3x - 7 ≥ 4x - 3x + 2

-7 ≥ x + 2

Subtract 2 from both sides:

-7 - 2 ≥ x + 2 - 2

-9 ≥ x

x ≤ -9

A school keeps track of the percentage of scholars who pack lunch versus buy lunch. On Monday, 80% of scholars packed lunch. On Tuesday, 70% of the scholars who packed lunch do so again, and 50% of those who bought lunch on Monday ​pack ​lunch on Tuesday. Assume all scholars either pack lunch or buy lunch. Find the percent change in the number of scholars who bought lunch from Monday to Tuesday, and indicate whether this was an increase or decrease.

Answers

Answer:

you can also get the most of the best Friend in suluiman .70.

PLEASE HELP ME ITS SYSTEM OF LINEAR EQUATIONS

Answers

I agree with the other person i don't know what to do

−3(x + 3) = −3(x + 1) − 5

Answers

You have to simplify and then get x

Answer:

No real solutions

Step-by-step explanation:

Distribute the -3

-3x - 9 = -3x -3 -5

-3x - 9 = -3x - 8

add 3x to both sides

-9 = -8

makes it no real solution

)A class has 9 boys and 15 girls. What is the ratio in simplest form that compares number of boys to total number of students?

3:5
3:8
9:15
9:24

Answers

Answer:

3:5

Step-by-step explanation:

3, 6, 9.

5, 10, 15.

always see which numbers fit and which numbers dont

Answer:

9:24 is the ratio.

Step-by-step explanation:

PLZ HELP I DONT KNOW THE ANSWER

Answers

Answer:

15 feet off the ground

Step-by-step explanation:

Hope this helps!

Answer:18

Step-by-step explanation:

1.5 times 12 =18

2.The tables show the numbers of white and yellow flowers Cara and Hector used in 5 different arrangements.

Cara’s Flower Arrangements

White

3

6

9

12

15

Yellow

5

10

15

20

25

Hector’s Flower Arrangements

White

4

8

12

16

20

Yellow

6

10

14

18

22

Part A

Are the numbers of white and yellow flowers in Cara’s arrangements proportional? Write an equation that relates the number of yellow flowers, y, to the number of white flowers, w.





Part B

Are the numbers of white and yellow flowers in Hector’s arrangements proportional? Write an equation that relates the number of yellow flowers, y, to the number of white flowers, w.

Answers

Answer:

Step-by-step explanation:

15

Part A:

Yes, the numbers of white and yellow flowers in Cara's arrangements are proportional.

yellow flowers = y

white flowers = w

5y = 3w

Therefore, the numbers of white and yellow flowers in Cara's arrangements are proportional.

Part B:

yellow flowers = y

white flowers = w

6y = 4w

Therefore, the numbers of white and yellow flowers in Hector's arrangements are proportional.

Y>x-3, y<-x+3? I need a graph:(

Answers

Answer:

Then make one

Step-by-step explanation:

As the guy above me said, make one


The diagram shows a sector of a circle radius 11 cm.
Show that the perimeter of the sector
is greater than 47.5 cm.

135°
11 cm

Answers

Answer:

Perimeter of sector is 47.93 cm which is greater than 47.5 cm

Step-by-step explanation:

Mathematically, the perimeter of a sector is length of the arc plus 2 radii

The length of the arc is;

theta/360 * 2 * pi * r

where theta is the angle subtended by the arc at the center of the circle

Thus, we have

135/360 * 2 * 22/7 * 11 = 25.93

Add 2 radii = 25.93 + 2(11) = 47.93 cm

This is greater than what we are asked to calculate and thus we have shown what we are asked to show

Answer:

47.9cm>47.5cm

Step-by-step explanation:

135(angle) /360 x 2 pi r (to give arc of the sector)

135/360 x 2 x 3.142 x 11 = 25.92cm

add 11 + 11 (radius)

25.92 + 22= 47.9cm

Given AABC with coordinates A(-4,-2), B(-1,1) and C (-2,3)
what would be coordinates of AA'B'C' after a rotation of 180° ?

Answers

Answer: 15

15-15 = 0

10-10=0

a) x ^ 2 + 2x???????????

Answers

Step-by-step explanation:

x² + 2x

x(x + 2)

OR

x² + 2x = 0

x(x + 2) = 0

x = 0 or x + 2 = 0

x = 0 or x = - 2

If a van traveled 120 miles in 2 hours, how far could the van travel in 5 hours?​

Answers

Answer :

The Answer Is 300 Miles In 5 Hours

Answer:

300 miles i think

Step-by-step explanation:

120 times 2.5 bc 2 times 2.5=5

120 times 2.5 is 300

room is 32 ft by 40 ft. She needs to make a scale of her room that is 8 in. by 10 in. What is the scale she needs to use? ​

Answers

Hvdgnjkncfhjinvgnbfg gfbjjygjk

number of integers between -2 and 2

Answers

Answer:

3 integers

Step-by-step explanation:

-1, 0, 1 lie between the integers - 2 and 2

Data with a correlation coefficient of 0.05 has a _[blank A]_ correlation, and data with a correlation coefficient of −0.80 has a _[blank B]_ correlation.

Answers

Answer:

Correlation Coefficient r value of 0.05 means a weak or very weak positive relationship while

Correlation Coefficient r value of 0.80 means a strong positive relationship

Step-by-step explanation:

Correlation Coefficient (r) signifies the strength of relationship which exists between two linear variables. The value of r ranges from - 1 to + 1 where positive and negative values signifies a positive and negative relationship relationship respectively.

The closer the r value is to either +1 or - 1, the greater the strength of the relationship while a r value of 0 means, there is no relationship between the two variables.

Hence in the scenario above :

Correlation Coefficient r value of 0.05 means a weak or very weak positive relationship while

Correlation Coefficient r value of 0.80 means a strong positive relationship

Answer:

Step-by-step explanation:

Correlation Coefficient r value of 0.05 means a weak or very weak positive relationship while

Correlation Coefficient r value of 0.80 means a strong positive relationship

Larry invests $7,000 in an account that earns 6% interest compounded continuously. How much will Larry
have in 7 years?

Answers

Answer:

9940

Step-by-step explanation:

its easy please give brainlist

Answer:

~10525.41 after 7 years

Step-by-step explanation:

y=a(1+r)^x

That's the equation for exponential growth

a= the starting amount

r= the rate at which it is growing

x=years

with that information

a=7000

r=6% or 0.06

so y=7000(1+0.06)^x -> y=7000(1.06)^x

x=7

y=7000(1.06)^7

y~10525.41

Evaluate the expression -8x + 5 - 2x - 4 + 5x when x = 2 before and after simplifying.

Answers

Answer:

Step-by-step explanation:

all we have to do is plug in 2 for x into the equation:

-8(2) + 5 -2(2) -4 + 5(2)

-16 + 5 -4 -4 + 10

-11 -8 + 10

-19 + 10

the answer is

-9

to simplify the equation we’ll combine like terms

-8x + 5 -2x -4 + 5x

-10x + 1 + 5x

-5x + 1

now we’ll plug in 2 for x

-5(2) + 1

-10 + 1

the answer is still

-9

Answer:

-9

Step-by-step explanation:

Triangles on a square grid what is the property of the triangle

Answers

Answer:

Isosceles triangle

Step-by-step explanation:

Answer: This triangle is a Right Isosceles triangle so you would select B. & D.

Explanation: This triangle isn't equilateral sense the three sides / three angles aren't equal. And isn't scalene sense scalene triangle have no equal sides and no equal angles.

Can someone help me?

Answers

Answer:

B. Yes, 3.5

Step-by-step explanation:

Proportional Variables

Two variables x,y are proportional if one of them can be calculated as the other variable time a fixed constant:

y = k.x

Or, equivalently:

k = y/x

k is called the constant of proportionality.

The table gives three points: (13,45.5) (14,49) (15,52.5)

To find out if the values correspond to a proportional relationship, we find the value of k for each pair:

k = 45.5 / 13 = 3.5

k = 49 / 14 = 3.5

k = 52.5 / 15 = 3.5

Since the value of k is the same for all the points, we conclude the table shows a direct proportional relationship and the constant of proportionality is 3.5

i need help asap !!!

Answers

It’s -15/28...................

Answer:-15/28

Step-by-step explanation:

2/1*x5/7x-3/8=-30/56 ÷2=-15/28

O A. y = {x+1
O B. y=-2x-1
O C. y=-2x+ 1
O D. y = 2x-1

Answers

Since its going down it should be c.

Help me plz nowwwwww

Answers

Answer:

...

Step-by-step explanation:

How do I solve this equation?

Answers

Answer:

x=7,x=-4

Step-by-step explanation:

[tex]2x-3=11\\2x=11+3\\2x=14\\x=7\\\\2x-3=-11\\2x=-11+3\\2x=-8\\x=-4[/tex]

Answer: x=7, x= -4

Step-by-step explanation: Ok because of the absolute value signs, there are going to be two different equations. The first one is just 2x-3=11. Solve that: 2x=14, x=7. Then because the answer in the absolute value could also be -11 (because absolute values always have to be positive), there is another equation : 2x-3=-11. Add 3 on both sides, 2x=-8, x=-4

The floor of a room is 12m long and 7.5m broad i) Find the area of the floor ii) Find the cost of carpeting the floor at rs 80 per sq.m
(Unitary method)​

Answers

A=90m^2

Cost=RS.7200

I hope that helps

Answer:

this is the formula that you want

"I am 3 times as old as Sue is," Frank said to Ann. "On the other hand, I am 15 years older than John while Sue is 1 year younger than John. How old am I?"

If J represents John's age, then which of the following equations could be used to solve the problem?

J + 15 = 3J - 1
J + 15 = 3(J - 1)

Answers

Answer:

J + 15 = 3(J - 1)

Step-by-step explanation:

I am 99% sure this is the right answer.

Help rn please!!! Urgent

Answers

Answer:

try 3 i need 20 more letters

Answer:

f(x) = 2x^2 + 12x +10

Step by step solution:

x = 1 x = 5 y = 10

f(x) = a(x+1)(x+5)

f(0) = a(1)(5) = 10

5a = 10

Divide by 5

a = 2

f(x)= 2(x+1)(x+5)

f(x) = 2(x^2 +6x +5)

f(x) = 2x^2 + 12x +10

brainliest much appreciated!

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