You must reverse the inequality sign when solving this inequality: x + 7 < 4True or false?

Answers

Answer 1

Answer: True because to solve the problem you can do 4-7 and that is -3 and when there is a negative you must switch the inequality sign

Answer 2

Answer:

Answer: False.

Step-by-step explanation:

x + 7 < 4

x+7-7<4-7

x <-3

Hope this helps!

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Vanessa ate 2 slices of cake. ishaan ate 1 slice. if there were 1 slice remaining and all the slices were the same size, what fraction of the cake was eaten?

Answers

Answer:

$(3)/(4)$ part of cake was eaten

Step-by-step explanation:

Given: Vanessa ate 2 slices of cake. ishaan ate 1 slice. there were 1 slice remaining.

To Find: If all the slices were the same size, what fraction of the cake was eaten.

Solution:

Slices of cake eaten by Vanessa = $2$

Slices of cake eaten by Ishan = $1$

Slices remaining = $1$

Total number of Slices = $\text{Slices of cake eaten by Vanessa}+\text{Slices of cake eaten by Ishan}+\text{Slices remaining}$

= $2+1+1$

= $4$

Total number of Slices Eaten = $\text{Slices of cake eaten by Vanessa}+\text{Slices of cake eaten by Ishan}$

= $2+1$

= $3$

Fraction of Slice eaten = $\frac{\text{Total number of slices eaten}}{\text{Total number of slice}}$

= $(3)/(4)$

Therefore the fraction of slice eaten is $(3)/(4)$

so 2 ate by Vanessa + 1 slice ate by Ishaan make 3 + 1 slice reaining so total was 4 slices
and from this result that was eaten 3 slices so this mean that this is a 3/4 part eaten

hope this will help you

PLEASEEE HELP. Solve x^3-7x^2+6x-42=0

Answers

factor by grouping

x^2(x-7) + 6(x-7) = 0 [took x^2 out of the first two and a 6 out of the last two]
(x-7)(x^2+6) = 0 [moved (x-7) out to the front]
x = -i sqrt(6) , i sqrt(6) , 7

only one real solution of x = 7

$x^(3) -7 x^(2) +6x-42=0$

$(x-7)$ is a factor since it is a factor of -42 and 7 is a solution for f(x) to equal 0.

$(x-7)(a x^(2) +bx+c)=0$

$(x-7)( x^(2) +bx+6)=0$

$-7 x^(2) +b x^(2) =-7 x^(2)$

$-7+b=-7$

$b=0$

$(x-7)( x^(2) +6)=0$

$x-7=0$

$x^(2) +6=0$

$x=7$ (only solution because you can't square root (-6))

I need help Brainliest

Answers

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12. The square and rectangle shown below have the same perimeter length Show that the length of the rectangle (3x + 1) centimetres

Answers

Lets call the perimeter P and the length of the rectangle l. The first figure is a square with side length 2x + 2 so P = 4(2x + 2) = 8x + 8. For the rectangle, P = 2l + 2(x + 3) = 2l + 2x + 6. These values both equal P so they must equal each other. 8x + 8 = 2l + 2x + 6. Now we have to solve for l.

8x + 8 = 2l + 2x + 6
8x + 2 = 2l + 2x
6x + 2 = 2l
3x + 1 = l

Franco bought two shirts at a local store. The regular price for each shirt was r dollars. The store charged Franco the regular price for the first shirt and gave him a 75% discount on the second shirt. He was charged 6% sales tax on the entire purchase. Which of the following expressions gives the total, in dollars, Franco paid, including sales tax? (HOA 01 & HOA 06)

Answers

Answer:

The answer is 1.325 dollars if you need explanation I'll tell u in comments,good luck

You bought a Toyota corolla in 2004 for 12500. this car's value depreciates by 7% a year. How much is the car worth now(2016)? How much is it worth 2020?

Answers

You solve this by first determining how many years is it from 2004 to 2016. It is 12 years. Now you do 0.07 (which is 7% in decimal form) times 12 which gives you 0.84. To find 84% of 12,500, you just multiply them two together and get 10,500. You finish this by subtracting 10500 from 12500 and you get $2,000 as your final answer.

For 2020, you determine how many years it is from 2004 to 2020 and you get 16. So you multiply 0.07 times 16 giving you 1.12. You multiply 1.12 times 12,500 and you get 14,000. Finally, you subtract 14,000 from 12,500 giving you -1500.

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