Find the extraneous solution of the equation |9−4x|=−5x.

Given that:

A 15-foot log is cut into two pieces.

Longer piece is 1.5 feet shorter than twice the shorter piece.

Solution:

Let the length of shorter piece be x feet. So,

Length of longer piece = 2x-1.5 feet

Total length = x+(2x-1.5) feet

Now,

[tex]x+(2x-1.5)=15[/tex]

[tex]3x-1.5=15[/tex]

[tex]3x=15+1.5[/tex]

[tex]3x=16.5[/tex]

[tex]x=\dfrac{16.5}{3}[/tex]

[tex]x=5.5[/tex].

So, length of shorter piece is 5.5 feet.

[tex](2x-1.5)=2(5.5)-1.5[/tex]

[tex](2x-1.5)=11-1.5[/tex]

[tex](2x-1.5)=9.5[/tex]

So, length of longer piece is 9.5 feet.

Answer:

[tex] \boxed{ \bold{ \huge{ \boxed{ \sf{0}}}}}[/tex]

Step-by-step explanation:

[tex] \sf{1 - 3x = 1 - x}[/tex]

Move x to left hand side and change it's sign

Similarly, move 1 to right hand side and change it's sign

[tex] \dashrightarrow{ \sf{ - 3x + x = 1 - 1}}[/tex]

Collect like terms

[tex] \dashrightarrow{ \sf{ - 2x = 0}}[/tex]

Divide both sides by -2

[tex] \dashrightarrow{ \sf{ \frac{ - 2x}{ - 2} = \frac{ 0}{ - 2}}} [/tex]

Calculate

[tex] \dashrightarrow{ \sf{ x = 0}}[/tex]

Hope I helped!

Best regards! :D

the answer is -1000 as -10 cube is -1000

The value of product of (-10)(-10)(-10) is -1000.

Arithmetic operations can also be specified by subtracting, dividing, and multiplying built-in functions.

The operator that performs the arithmetic operations are called arithmetic operators.

Operators which let do a basic mathematical calculation

+ Addition operation: Adds values on either side of the operator.

For example 4 + 2 = 6

- Subtraction operation: Subtracts right-hand operand from left-hand operand.

for example 4 -2 = 2

* Multiplication operation: Multiplies values on either side of the operator

For example 4*2 = 8

/ Division operation: Divides left-hand operand by right-hand operand

For example 4/2 = 2

To determine the product of (-10)(-10)(-10)

⇒ (-10)(-10)(-10)

Multiplying the last two terms and (-) signs cancel out each other,

⇒ (-10)(100)

Multiplying the two terms,

⇒ -1000

Hence, the value of product of (-10)(-10)(-10) is -1000.

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Answer:

1 solution

Step-by-step explanation:

-10 - 9z = -4 - 10z

Isolate z:

-9z + 10z = -4 + 10

z = 6

This is the only solution, so the equation has 1 solution.

Answer:

z = 6

1 solution

Step-by-step explanation:

–10 − 9z = –4 − 10z

Add 10z to each side

–10 − 9z+10z = –4 − 10z+10z

-10 +z = -4

Add 10 to each side

-10 +z +10 = -4+10

z = 6

Answer:

9700 milliliters

Answer:

A

Step-by-step explanation:

As the equation has already been factorised, we can find the value of x that results in 0 in each bracket:

x - 3 >= 0

x >= 3

x+2 >= 0

x >= -2

Answer:

1024

Step-by-step explanation:

Hope it helps

Answer:

Kindly check explanation

Step-by-step explanation:

Given that :

Total flowers sold = 200

Flowers are :

Carnations, Roses, and Gerber daisies

Carnations = c

Roses = r

Daisies = d

20 fewer roses than daisies ; r = d - 20

Total sales = $453

c = $1.50 each ; r = 3.75 each ; d = 2.25 each

c + d + d - 20 = 200

c + 2d = 220 - - (1)

1.50c + (d - 20)(3.75) + 2.25d = 453

1.50c + 3.75d - 75 + 2.25d = 453

1.50c + 6d = 528 - - - (2)

From (1)

c = 220 - 2d

1.5(220 - 2d) + 6d = 528

330 - 3d + 6d = 528

330 + 3d = 528

3d = 528 - 330

d = 198/3

d = 66

66 × 2.25 = $148.5

c = 220 - 2(66)

c = 88

88 * 1.50 = $132

r = d - 20

r = 66 - 20

r = 46

46 × $3.75 = $172.5

Answer:

18

Step-by-step explanation:

15-10÷5+5

First distribute the 10 ÷ 5.

15-2+5

Left to right, Subtract the 15-2.

13+5

Add.

18  

Answer:

18

Step-by-step explanation:

Answer:

1.2 is the answer

Step-by-step explanation:

The rounding off of the number 1.248 to the nearest tenth is 1.2L

Rounding off numbers is a process used to simplify or approximate a numerical value to a specific degree of precision or to a specified number of decimal places. It involves adjusting a number to a nearby value that is easier to work with or more meaningful in a particular context.

When rounding off, you typically consider a specific digit in the number and look at the digit to the right of it. Depending on the value of that digit, you either increase or keep the original digit unchanged.

In the given problem, to round off the number to the nearest tenth;

1.248L ≈ 1.2L

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Answer: D

Step-by-step explanation:

1/3) Let’s imagine a circle that passes through point R with the given center.

2/3) A 270 ángel takes up 3 on 4 of the circle.

3/3) D is the image of point R.

Clockwise rotation means rotating in the same way or direction as the hands of a clock move.

If point R is rotated about the center by 270 clockwise the image of point R is point D.

Clockwise rotation means rotating in the same way or direction as the hands of a clock move.

We have,

Point R is rotated clockwise about the center by 270 degrees.

We need to find the position of the R after the rotation.

i.e the image of the point R.

We know that the whole circle rotation is considered to have a 360-degree rotation.

270-degree rotation means it has rotated 3/4th of the circle.

So from the given figure, if the point R is rotated 3/4th of the figure in a clockwise direction the point R will be in the position of point D.

i.e the image of point R will be Point D.

Thus the image of point R is point D.

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Answer:

10x + 30 = 600

Step-by-step explanation:

Johnny gets $10 per week, which is $10x for x number of weeks.

He already has $30, so his money becomes 10x + 30.

His goal is to have $600, so our equation becomes 10x + 30 = 600

Answer:

B 2+-5=-3

Step-by-step explanation:

Answer: The factored expression is:

2/ (x+1)(x-3)

The domain is (-1,3)

range is y= -1/2

X = 0     Y = (0,-2/3)

HORIZ: Y=0

VERTIC :  x= -1 x=3

the answer is G

Step-by-step explanation:

G is the answer

Step-by-step explanation:

I guess it's G because g might make make an exponents

Answer:

6.10,11

Step-by-step explanation:

x+x+4+2x-1=27

4x+3=27

4x=27-3

4x=24

x=24/4=6

x+4=6+4=10

2x-1=2×6-1=11

Answer:

option 2 : 2 1/2 and 2 3/4 ( convert to decimal)

2.5 and 2.75

2.6 is greater than 2.5 and less than 2.75

Step-by-step explanation:

2 3/5 in decimal is 2.6

option 1 : 2.7 and 3 : 2.6 is less than 2.7 and less than 3 ( not the answer)

option 2 : 2 1/2 and 2 3/4 ( convert to decimal)

2.5 and 2.75

2.6 is greater than 2.5 and less than 2.75

option 3 : 2.1 and 2.3 : 2.6 is greater than both

option 4 : 2 and 2 1/4 (2.25)

2.6 is greater than both

Answer: 23 cupcakes

Step-by-step explanation:

Answer:

23 were taken

Step-by-step explanation:

30-7=23

step by step explanation

A number is equal to the sum of twice the number and negative three. Look Out: be very careful with "less than." Three less than a number is translated as "x – 3." The reverse of that, "3 – x," would be a number less than 3

To evaluate an algebraic expression means to find the value of the expression when the variable is replaced by a given number. To evaluate an expression, we substitute the given number for the variable in the expression and then simplify the expression using the order of operations.

answer:3-x

Answer: Range = 21

Step-by-step explanation: you subtract the highest number by the lowest number in the set to find your range

Answer:

D because a function cannot be on the same line as another function. Same goes with the X-axis but in this case it is the y-axis

Step-by-step explanation:

Answer:

cost of bread = $3.25

Cost per egg = $0.2

Step-by-step explanation:

Given the following :

Cost of a loaf of bread and 6 eggs = $4.45 - - (1)

Cost of a loaf of bread and a dozen eggs ( 12 eggs) = $5.65 - - - (2)

Let x = cost of bread and y = cost of egg

x + 6y = 4.45

x + 12y = 5.65

Subtract 1 from 2

6y - 12y = 4.45 - 5.65

-6y = - 1.2

y = $0.2

Hence,

From x + 6y = $4.45

Where y = $0.2

x + 6($0.2) = $4.45

x + $1.2 = $4.45

x = $4.45 - $1.2

x = $3. 25

Hence, cost of bread = $3.25

Cost per egg = $0.2

Answer:

30 feet

Step-by-step explanation:

Let x be the length of the ladder. Then, x cos(60) = 15

If we divide both sides by cos(60), then x = 30 feet.

The length of ladder to be used by knight  will be of 30 feet

The angle of elevation is an angle that is formed between the horizontal line and the line of sight. If the line of sight is upward from the horizontal line, then the angle formed is an angle of elevation.

According to the question

The knight stands 15 feet from the base of the tower and the

angle of elevation to her window is 60 degrees.

Therefore, In figure

AB = Height of tower

CA = Distance between knight and tower  = 15 feet

BC = Length of the ladder

angle of elevation  = 60°

Now ,

Cos(60°) = [tex]\frac{Base}{Hypotenuse} = \frac{distance between knight and tower}{Length of the ladder } = \frac{15}{BC}[/tex]

[tex]\frac{1}{2} = \frac{15}{BC}[/tex]

BC = 30 feet

Length of the ladder  = 30 feet

Hence, the length of ladder will be used is 30 feet .

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Answer:

[tex]y = \frac{-1}{9}[/tex]

Step-by-step explanation:

[tex]7y + 4 = 3 - 2y[/tex]

add [tex]2y[/tex]  to both sides

[tex]7y + 4 + 2y = 3 -2y + 2y \\9y + 4 = 3[/tex]

add [tex]-4[/tex] to both sides

[tex]9y + 4 -4 = 3 - 4 \\9y = -1[/tex]

divide both sides by [tex]9[/tex]

[tex]\frac{9y}{9} = \frac{-1}{9} \\[/tex]

[tex]y = \frac{-1}{9}[/tex]

The solution to the equation 7y + 4 = 3 - 2y is y = -1/9.

Here, we have,

To solve for y in the equation 7y + 4 = 3 - 2y, we can follow these steps:

Step 1: Combine like terms on both sides of the equation:

7y + 2y = 3 - 4.

Simplifying:

9y = -1.

Step 2: Divide both sides of the equation by 9 to isolate the variable y:

(9y)/9 = (-1)/9.

Simplifying:

y = -1/9.

Therefore, the solution to the equation 7y + 4 = 3 - 2y is y = -1/9.

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Answer:

7cm

Step-by-step explanation:

Other option are not whole numbers rather they are decimal numbers

Answer:

Step-by-step explanation:

no one is going to anccer it

Answer:

106

Step-by-step explanation:

Substitute x = 3 into f(x) and evaluate , that is

f(3)

= 10(3)² + 6(3) - 2 = 10(9) + 18 - 2 = 90 + 18 - 2 = 106