Solve 4 (z + 5) = 32.
The solution is z = ☐

Answer:

The error in the question is that in the second line, both sides are not multiplied by x. This causes an imbalance in the equation.

Step-by-step explanation:

[tex]\frac{5}{x}= x-4[/tex]

Multiply both sides by x.

[tex]x(\frac{5}{x}) = x(x-4)[/tex]

[tex]5= x^{2} -4x[/tex]

Subtract 5 from the equations.

[tex]x^{2} -4x-5=0[/tex]

Factorise the equation (Quadratics)

[tex](x-5)(x+1)=0[/tex]

Null Factor Law

[tex]x=5[/tex] or [tex]x=-1[/tex]

Here, we have to go through the equation and correct it:

Starting equation: 5/x = x - 4

Multiply both sides by x:

x * (5/x) = x * (x - 4)

[tex]5 = x^2 - 4x[/tex]

Move all terms to one side to set up a quadratic equation:

[tex]x^2 - 4x - 5 = 0[/tex]

Now, we have a quadratic equation that needs to be solved.

We can solve this quadratic equation using factoring, completing the square, or the quadratic formula.

In this case, let's use factoring:

(x - 5)(x + 1) = 0

This gives you two possible solutions:

x - 5 = 0 --> x = 5

x + 1 = 0 --> x = -1

So, the correct solutions for the equation 5/x = x - 4 are x = 5 and x = -1. The error in your solution was in the step where you multiplied by x; you didn't distribute x properly to both terms on the right side of the equation.

This causes an imbalance in the equation.

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Answer:

[tex] 9\times {y}^{3} [/tex]

this should be

[tex]9 {y}^{3} [/tex]

The expression for 9 is multiplied by the cube of a number will be 9X³.

Expression in maths is defined as the collection of numbers variables and functions by using signs like addition, subtraction, multiplication, and division.

Numbers (constants), variables, operations, functions, brackets, punctuation, and grouping can all be represented by mathematical symbols, which can also be used to indicate the logical syntax's order of operations and other features.

Given that 9 is multiplied by the cube of a number. The expression can be written by assuming that the number is x.

Expression = 9 x Cube of a number

Expression = 9 x ( X )³

Expression = 9X³

Therefore, the expression for 9 multiplied by the cube of a number will be 9X³.

The complete question is given below:-

9 is multiplied by the cube of a number then write an expression for that.

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Answer:

2

Step-by-step explanation:

By how much does x power 2 - ax +5 exceeed 3x power 2 -5x=6 I hope this helps :)

Answer:

16 cm2

Step-by-step explanation:

By equa tion of area of triangle: S = 1/2 * height * base

Triangle B: 32  = 1/2 * 8 * x --> x = 8 (cm)

The base of triangle A is half of the base of triangle B so it is 4 cm.

The area of triangle A = 1/2 * 8 * 4 = 16 (cm2)

The value of R is 12.

A value that yields the original number when multiplied by itself is known as the square root of a number. The square root is a backwards technique for figuring out a number. Thus, squares and square roots are connected ideas.

Given R/4 = 36/R

multiply both sides by R

R/4 x R = 36/R x R

R²/4  =  36

multiply both sides by 4

R²/4 x 4 =  36 x 4

R² = 144

so R = √144

R = 12

Hence R = 12 for given condition.

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Answer:

a: 7000

Step-by-step explanation:

5 year = 10, 6 months

700 x 10 = 7000

Answer:

[tex]21. \: 136.1[/tex]

[tex]22. \: 27.0[/tex]

[tex]23. \: 471.3[/tex]

Remember to add "$" before the number.

Answer: 5a + 2b

Step-by-step explanation:

Given

(8a - 2b + 3c) + (-3a + 4b - 3c)

Expand parentheses

=8a - 2b + 3c - 3a + 4b - 3c

Put like terms together

=(8a - 3a) + (4b - 2b) + (3c - 3c)

Combine like terms

=5a + 2b + 0

=[tex]\boxed{5a+2b}[/tex]

Hope this helps!! :)

Please let me know if you have any questions

Answer:

Points lie on the same line if and only if the points are collinear

Step-by-step explanation:

Answer:

C = -27x^2 - 30x + 25

Step-by-step explanation:

C = (3x - 5)^2 - 36x^2

~Use FOIL

C = 9x^2 -30x + 25 - 26x^2

~Simplify

C = -27x^2 - 30x + 25

Best of Luck!

Answer:

[tex] {3}^{2} \times {3}^{ - 6} \\ = {3}^{2 + ( - 6)} \\ = {3}^{2 - 6} \\ = {3}^{ - 4} [/tex]

Answer:

D

Step-by-step explanation:

8^2+8^2=128

Square root of 128 is about 11.313

Step-by-step explanation:

perimeter=a+b+c

p=10.5+15+(-5(x+11))

p=25.5-5x-55

p,=-5x-29.5

Answer:

(-1,0.5)...

the inverse "f^-1" of an exponential function is BY DEFINITION the "Log" function

Step-by-step explanation:

Answer:

boxes count from top to bottom

Answer:

hsjjsjsjjsjjdjjsnnsjsj

Answer:

1

6

d

+

2

3

=

1

4

⋅

(

d

−

2

)

Combine

1

6

and

d

.

d

6

+

2

3

=

1

4

⋅

(

d

−

2

)

Simplify

1

4

⋅

(

d

−

2

)

.

Tap for more steps...

d

6

+

2

3

=

d

4

−

1

2

Move all terms containing

d

to the left side of the equation.

Tap for more steps...

−

d

12

+

2

3

=

−

1

2

Move all terms not containing

d

to the right side of the equation.

Tap for more steps...

−

d

12

=

−

7

6

Multiply both sides of the equation by

−

12

.

−

12

⋅

(

−

d

12

)

=

−

12

⋅

(

−

7

6

)

Simplify both sides of the equation.

Tap for more steps...

d

=

14

Answer:

a) 40 + 10d where is the distance

b) 160 km

Step-by-step explanation:

→ Substitute 12 into the formula

40 + ( 10 × 12 ) = 160

Step-by-step explanation:

x³-x

by taking out common term, we get

x(x²-1)

Now, by using the formula of a²-b², we get

x(x²-1²)

x(x+1)(x-1)

I hope it helped U

stay safe stay happy

Answer:

[tex] {x}^{3} - x = x(x + 1)(x - 1)[/tex]

I hope I helped you^_^

Answer:

so our x is <

less than

explanation: 3>2x= 1.5<x

x- 4>2 =6<x

Hey there! I'm happy to help!

Let's convert the decimals to fraction form.

0.5=5/10=1/2

-1/7

-0.2= -2/10= -1/5

1/3

We know that the bigger the number in the denominator, the smaller the fraction is if the numerators are all the same.

First off, we have the negative numbers which are smaller than the other numbers. We have -1/7 and -1/5. We know that the 1/5 is a bigger fraction, but it is negatively bigger, so that is going to be the lesser number.

-1/5, -1/7

And with our bigger ones, we have 1/3 and 1/2. 1/2 is the bigger number here, so that will be the last one. Let's also be sure to convert back to our original forms! Here is our order :

-0.2, -1/7, 1/3, 0.5

Have a wonderful day and keep on learning! :D

Answer:

You will save $14.00

Step-by-step explanation:

If the shirt is 35% off, it means that you will effectively save 35% of the price. 35% of the price in this case is 35% of 40, which is $14.00

Answer:

a = 3

Step-by-step explanation:

2(a−4)+15=132

a−8+15=132

a=13−15+82

a=6

a=6/2

a=3

Answer:

x=8

Step-by-step explanation:

-2x+4y=-8

Let y = 2

-2x+4*2=-8

-2x+8=-8

Subtract 8 from each side

-2x+8-8=-8-8

-2x=-16

Divide by -2

-2x/-2 = -16/-2

x = 8

Step-by-step explanation:

3(5)+5÷4

15+5÷4

20÷4

5 Answer

Answer:

16.25

Step-by-step explanation:

Let x = 5. Substitute the value for the variable.

3(5) + 5 ÷ 4

15 + 5 ÷ 4

15 + 1.25

16.25

Answer:

I'm not sure. What I would do, though, is find the difference of the two times and then find the percentage of that within the original time. So the difference is .75. So the percentage would be .25%. Just an educated guess.

Answer:

Step-by-step explanation:

Answer:

a = 0

Step-by-step explanation:

given:

[tex]g(x) = -1x - 4[/tex]

solve for a, when:

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

replace x with -4

~~~~~~~~~~~~

➡️ [tex] a = -1(-4) - 4 [/tex]

➡️ [tex] a = 4 - 4[/tex]

➡️ [tex] a = 0 [/tex]

Conjectures are used to form opinions about a certain subject. The conjecture from the given figure is that:

The number of triangles that can be formed by an n-sided shape is n - 2.

Given that:

[tex]n \to[/tex] number of sides

From the attached figures, we have the following observation.

If this pattern continues, the number of triangles for an n-sided shape will be: n - 2

Hence, the conjecture is:

The number of triangles that can be formed by an n-sided shape is n - 2.

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