Louisa states that the solution to the equation One-fourth x minus 3 = StartFraction 3 Over 8 EndFraction x + 4 is x = 56. She verifies her solution using the steps below.

Equation: One-fourth x minus 3 = StartFraction 3 Over 8 EndFraction x + 4
Step 1: One-fourth (56) minus 3 = StartFraction 3 Over 8 EndFraction (56) + 4
Step 2: 14 minus 3 = 21 + 4
Step 3: 11 = 25

Which statement most accurately describes Louisa’s error?
Louisa made an error when determining the original solution of x = 56.
Louisa made an error when substituting the solution in for x.
Louisa made an error when multiplying 56 by One-fourth and by StartFraction 3 Over 8 EndFraction.
Louisa made an error when adding or subtracting.

Answer:

(5,2), (9.5,70)Step-by-step explanation:

Step-by-step explanation:

here

cost of 12 liters oil = RS 4800

cost of 1liter oil =rs 4800 ÷ 12 = 400

now

cost of 20 liters will be 400×20=8000

Answer:

the awnswer is 5.032\

Step-by-step explanation:

Answer:

29 feet for second ladder

Step-by-step explanation: I dont think first is possibe(decimals), second 21 square+ 20 square= 441+200=881, root of 881 is 29.

Answer:

As this is a right angled triangle, simply find the hypotenuse

Step-by-step explanation:

We know that the square of hypotenuse is equal to the sum of the square of the other two sides

In formula > h²=a²+b²

We know the values of a and b.

Now simply put the values into the equation to find the answer :)

For 1,  h²= 25² + 10²

h² = 625 + 100

=725

h=√(725)

=26.92 feet

Therefore height of ladder = 26.92 feet

For 2,

h²= 21²+20²

h²=441 + 400

h² = 841

h = √841

h = 29 feet

Heigh of ladder = 29 feet

Answer:

9x⁻²  is not a polynomial

Step-by-step explanation:

A polynomial function is a function that involves non-negative integer powers of x such as a quadratic, cubic etc.

A polynomial is a function written in the form of ;

f{x} =aₙxⁿ+aₙ₋₁xⁿ⁻¹+-------+a₂x²+a₁x+a₀

The degree of a polynomial is the highest power of x in the expression

9x⁻² ----in this case, the power is negative thus this is not a polynomial.

Answer:

Not a polynomial

Step-by-step explanation:

Answer:

I THINK is (57°) if it wrong im sorry.

Answer:

Second choice, 11/30

Step-by-step explanation:

38 + 22 = 60

He flipped tails 22 times out of 60 tries, so it's 22/60

Simplify with 2 and it's 11/30

Answer:

work = force * distance

soo...

Step-by-step explanation:

force = mass * gravity

(1.5 kg )*(9.8 m/[tex]s^{2}[/tex]) = 14.7 kgm/[tex]s^{2}[/tex]  or Newtons  

W = 14.7 N * 15 m = 220.5 Nm  and since 1  N = 1 Joule

we say  220.5 Joule  

220.5 J   :)

Given:

The of values of a function.

To find:

The ordered pairs that are found on the graph of the inverse function.

Solution:

If a function is defined as

[tex]f(x)=\{(x,y):x\in R,y\in R\}[/tex]

Then its inverse function is defined as

[tex]f^{-1}(x)=\{(y,x):x\in R,y\in R\}[/tex]

From the given table it is clear that, the ordered pairs of the function f(x) are :

[tex]\{(-2,-14),(-1,10),(0,6),(1,2),(2,-2)\}[/tex]

So, ordered pairs of the inverse function are :

[tex]\{(-14,-2),(10,-1),(6,0),(2,1),(-2,2)\}[/tex]

Therefore, the correct option is B.

Step-by-step explanation:

by summing them two

-9x^2 -7x + 16

Answer:

x=71

Step-by-step explanation:

(Base angle of an isosceles triangle)

Answer:

x = 71°

Step-by-step explanation:

Since the 2 legs are congruent then the triangle is isosceles and the 2 base angles are congruent, that is

x = 71°

Answer:

The population will be 39400 in approximately 17 years

Step-by-step explanation:

The increase in population after t years is given by the formula

[tex]P_t = P_0(1+r)^t[/tex]

Here

P_0 is the initial population

r is the growth rate and t is time in years

So far we know,

P_0 = 20000

r = 4%

P_t = 39400

Putting the values in the formula

[tex]39400 = 20000(1+0.04)^t\\39400 =20000(1.04)^t\\\frac{39400}{20000} = (1.04)^t\\1.97 = (1.04)^t[/tex]

Taking natural log on both sides

[tex]ln |(1.04)^t| = ln |1.97|\\t\ ln\ |1.04| = ln\ |1.97|\\t = \frac{ln\ 1.97}{ln\ 1.04}\\t = 17.287\\t \approx 17[/tex]

Hence,

The population will be 39400 in approximately 17 years

Answer:

1. f(x)=0.25x+500

2.500

Step-by-step explanation:

well, it was right, and to be honest I don't know how I got it right cause I guessed

what are do you want from me i don't even know my bad

Answer:

From the given graph, it is clear that at x = 4, the corresponding y-value of the graph is y = 1

Therefore, we conclude that:

Step-by-step explanation:

Given:

A graph is given

To determine:

g(4) = ?

In other words, from the given graph, we need to determine the value of y at x=4

Finding g(4)

From the given graph, it is clear that at x = 4, the corresponding y-value of the graph is y = 1

Therefore, we conclude that:

The solution to the system is x = -6, y = -30.

An equation contains one or more terms with variables connected by an equal sign.

Example:

2x + 4y = 9 is an equation.

2x = 8 is an equation.

We have,

We can start by substituting the first equation into the second equation, to eliminate y:

2x - y = 18

2x - 5x = 18 (substituting y = 5x)

-3x = 18

x = -6

Now that we know x = -6, we can use the first equation to find y:

y = 5x

y = 5(-6)

y = -30

Therefore,

The solution to the system is x = -6, y = -30.

Learn more about equations here:

https://brainly.com/question/17194269

#SPJ2

Answer:

41.5

Step-by-step explanation

The equation is

X×65/100=27

x=27×100/65

x=27×20/13

x=540/13

x=41.5

Answer:

The range is 46

Step-by-step explanation:

-172 is the minimum

-126 is the maximum

subtract -126 by -172 and you get 46

Answer:

See below

Step-by-step explanation:

Statement                          |   Reason                                                  

1. ∠1 ≅ ∠11                          |   1. Given

2. ∠1 ≅ ∠9                          |  2. Corresponding angles theorem

3. ∠11 ≅ ∠9                         |  3. Transitive property of equality

4. a║b                                 |  4.  Corresponding angles converse

Answer:

180

Step-by-step explanation:

Answer:

180

Step-by-step explanation:

Because 20x9=180

Please MARK BRAINLEST!!

Answer:

x = 1

Step-by-step explanation:

Rewrite the equation to get x/0.6 = 5/3, since the division sign is the same thing as a slash sign and that 1 2/3 is equivalent to 5/3.  Multiply 0.6 on both sides to get 1 as your final answer.

Answer:

1

Step-by-step explanation:

0.6 times 1 2/3 is 1. in that case, 1 divided by 0.6 is 1.66666666667, also known as 1 2/3 making x = 1

Answer:

x = - 2

Step-by-step explanation:

(f + g)(x) = f(x) + g(x)

f(x) + g(x)

= x² - 2x + 6x + 4

= x² + 4x + 4

Equating to zero

x² + 4x + 4 = 0 ← left side is a perfect square

(x + 2)² = 0, thus

x + 2 = 0 ( subtract 2 from both sides )

x = - 2

Answer:

Choice C

Step-by-step explanation:

The only one that isn't a linear function is table C. If we take a look at table D (because it's easier and without any negatives) the x values decreases by two every time and the y values increase by 4 every time. Then when we look at table C, the x value increase by 5 which is good. But the y value increases by 2 then 4 then 8, which is why this table isn't a linear function.

The only one that is a nonlinear function is table Choice C.

In mathematics, linear refer to a proportional behaviour that can be modelled with a line, the functions that model this behaviour are called linear functions, and their graphs are lines.

Now, linear expression refers to an expression which has variables with an exponent equal to one.

But Nonlinear functions have a slope that varies between points.

If we take a look at table D because it's easier and without any negatives then we can see that the x values decreases by two every time and the y values increase by 4 every time.

Thus when we look at table C, the x value increase by 5 which is good. But the y value increases by 2 then 4 then 8, which is not a linear function.

Learn more about the function:

brainly.com/question/2264373

#SPJ2

Answer:

Hello

No function.There are two 7's on the x-axis. There can be 2 or more same numbers on the y-axis.

Step-by-step explanation:

Answer is No.

Answer:

the 6 x 5squared(with the little two on the top)

:)

Answer:

6 * 5^2  .....  6 * 5* 5 ........ 150

Step-by-step explanation:

going left to right the top row its the 2 and 4 and the bottom row is the middle one

Answer:

number 2 (-8 -2)

Step-by-step explanation:

Answer:

Cassandra 10, Borg 7

Step-by-step explanation:

Let c be Casandra's age and b be Borg's age. We can set the equation c-b=3. We can also set the equation 8c+2b=94. From the first equation we get c=b+3. Substitute this for c to get 8(b+3)+2b=94. Simplify to get 10b+24=94. Subtract then divide to get Borg's age is 7. Then since Cassandra is 3 yrs older than Borg, Cassandra's age is 10

Step-by-step explanation:

5x + 2y = 10

2x + y = 2, 4x + 2y = 4.

Therefore (5x + 2y) - (4x + 2y) = 10 - 4, x = 6.

=> 2(6) + y = 2, y = -10.

The solutions are x = 6 and y = -10.

Answer:

columnd A

Step-by-step explanation:

BEACUSE I LIKE A

Answer: 3

Step-by-step explanation:

Because it just is