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3 years ago

Which of the following is the correct quotient identity?

Mathematics

1 answer:

Vika [28.1K]3 years ago

7 0

Answer:

no.c is ther your answer

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The Length of a standard jewel case is 7cm more than its width. The area of the rectangular top of the case is 408cm. Find the l

salantis [7]

Answer:

The length of the case is 24 cm and its width is 17cm.

Step-by-step explanation:

The Length of a standard jewel case is 7cm more than its width.

Let the length be represented by L and the width be represented by W, this means that:

L = 7 + W

The area of the rectangular top of the case is 408cm². The area od a rectangle is given as:

A = L * W

Since L = 7 + W:

A = (7 + W) * W = 7W + W²

The area is 408 cm², hence:

408 = 7W + W²

Solving this as a quadratic equation:

=> W² + 7W - 408 = 0

W² + 24W - 17W - 408 = 0

W(W + 24) - 17(W + 24) = 0

(W - 17) (W + 24) = 0

=> W = 17cm or -24 cm

Since width cannot be negative, the width of the case is 17 cm.

Hence, the length, L, is:

L = 7 + 17 = 24cm.

The length of the case is 24 cm and its width is 17cm.

4 0

3 years ago

Solve for x. 5 x − 19 ≤ 1 OR − 4 x + 3 < − 6

k0ka [10]

$5x - 19 \leqslant 1$

change

$\leqslant \: to \: =$

given you

$5x - 19 = 1$

making x the subject by transferring the -19 to the right hand side of the equation

$5x = 19 + 1$

$5x = 20$

dividing through by 5

$\frac{5x}{5} = \frac{20}{5}$

$x = 4$

{ ${x:x \leqslant 4}$ }

also given

$- 4x + 3 < - 6$

change the operation sign to =

$- 4x + 3 = - 6$

$- 4x = - 6 - 3$

$- 4x = - 9$

dividing through by -4

$\frac{ - 4x}{ - 4} = \frac{ - 9}{ - 4}$

$x = \frac{9}{4}$

so the truth set is

{x:x>9/4}.

The < sign changes to > because we divided by a negative number when solving for x

4 0

3 years ago

Graph this solution x < 4

morpeh [17]

Answer:

see below

Step-by-step explanation:

x < 4

x is less than 4

Since it is less than, there is an open circle at 4

less than means the line goes to the left

5 0

3 years ago

Help me plsssssssssss

IrinaVladis [17]

Step-by-step explanation:

the equation is -5^2-4

this is because we substitute the variables for the numbers given!

6 0

3 years ago

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Find the equation of the line

blagie [28]

Answer:

y= 2x +12

Step-by-step explanation:

Given:

line y= 2x -7
the point (-3. 6)

The line parallel to the given has the same slope of 2, let's find the intercept using the given point:

y= 2x+b
6= 2*(-3)+b
b= 6+6= 12

So the equation is:

y= 2x +12

7 0

3 years ago

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Which of the following is the correct quotient identity?​

Which of the following is the correct quotient identity?