The work of a student to solve a set of equations is shown: Equation 1: m = 8 + 2n
Equation 2: 4m = 4 + 4n

Step 1: −4(m) = −4(8 + 2n) [Equation 1 is multiplied by −4.]
4m = 4 + 4n [Equation 2]
Step 2: −4m = −32 − 8n [Equation 1 in Step 1 is simplified.]
4m = 4 + 4n [Equation 2]
Step 3: −4m + 4m = −32 − 8n + 4n [Equations in Step 2 are added.]
Step 4: 0 = −32 − 4n
Step 5: n = −8

In which step did the student first make an error?

Step 1
Step 2
Step 3
Step 4

Answers

Answer 1

Answer: it might be step 4 where it got dropped by step 3

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In the process oif finding the difference quoitent for the function f(x)=π,Joan writes f(π+h)-f(π)/h

Answers

Joan's expression for the difference quotient is incorrect. The correct form is [f(π+h) - f(π)] / h, where f(x) = π, indicating the difference between two function values divided by h.

Joan's expression, f(π+h) - f(π) / h, is written incorrectly. The correct expression for the difference quotient for the function f(x) = π should be:

[f(π+h) - f(π)] / h

So, the correct expression is to subtract f(π) from f(π+h) and then divide the result by h. Joan made an error in the placement of the brackets, and the corrected expression accurately represents the difference quotient for this function.

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--The given question is incomplete, the complete question is given below " In the process oif finding the difference quoitent for the function f(x)=π,Joan writes f(π+h)-f(π)/h is it correct or incorrect"--

Expand and simplify. (x+4)squared

Answers

The quadratic expression (x+4)² = x² + 8x + 16.

The given expression is,

(x+4)²

The expression (x+4)² represents a mathematical operation called "squaring."

To expand it, we need to multiply the expression by itself.

So, (x+4)² becomes (x+4) * (x+4).

When we multiply these terms, we apply the distributive property and combine like terms.

After simplifying, we get x² + 8x + 16.

Or we can directly use the identity,

(a+b)² = a² + b² + 2ab

Here a = x and b = 4

(x+4)² = x² + 4² + 8x

Hence,

(x+4)² = x² + 8x + 16

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(x+4)²= (x+4)×(x+4)

Use the FOIL method to simplify

F=First (multiply the first number of each expression)
O=Outside (multiply the outside edges of each expression)
I= Inside (multiply the inside edges of each expression)
L= Last (multiply the last number of each expression)

x times x= x²
x times 4= 4x
4 times x= 4x
4 times 4= 16

Add them together, we have: x²+4x+4x+16
We can simplify this by adding like terms
4x+4x=8x

Final expression= x² + 8x + 16

Find the area of the green sector if m∠ A = π 6 and the circle has a radius of 10 inches.

Answers

The area of the sector, when the measure of the central angle is in radians, can be solved using this equation:
A = (n/2) r²

From the given values,
A = (π/6/2) (10²)
A = 25π/6 = 26.18 in²

Therefore, the area of the sector with the central angle measuring π/6 with the radius of the circle 10 inches is 26.18 in²

The test scores of a geometry class are given below.90, 75, 72, 88, 85
The teacher wants to find the variance for the class population. What is the value of the numerator of the calculation of the variance?

Answers

Variance is the difference of the number from the mean of the group of numbers then square it and find the average. In this case, we need to find the mean first. 90 + 75 + 72 + 88 + 85 = 410/5 = 82 . Now we must get the difference of each from the mean.
90 - 82 = 8
75 - 82 = -7
72 - 82 = -10
88 - 82 = 6
85 - 82 = 3
Next is to find the average of the square of the numbers.
(8^2) + (-7^2) + (-10^2) + (6^2) + (3^2) is
64 + 49 + 100 + 36 + 6 = 255. Next step is to simply divide it by 5. The numerator in calculating the variance is the sum of the square of the numbers which is 255.

Answer:

258

Step-by-step explanation:

A tablet weighs 1.23 pounds. What is its weight written as a mixed number?

Answers

The weight that should be written as the mixed number should be $1 (23)/(100)$

Given that,

The table weight is 1.23 pounds.

Here we need to find out the weight that should be written as the mixed number.

So first we have to understand what is the mixed number i.e. described below.

A mixed number should be the mix of the whole number & the fraction.

So, the weight written as the mixed number should be $1 (23)/(100)$

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If a tablet weighs 1.23 pounds, the weight written as a mixed number would be, 1 as the whole number and 23 is in the hundreds place, so you would write, 1 and 23/100.

Leona tracks her calories burned while boxing. The number of calories she burns is expressed by the function c(t) = 425t, where t is the number of hours spent boxing.To burn more calories, Leona wears heavier gloves while boxing. The number of calories she burns while wearing heavier gloves is expressed by the function b(c) = 1.1c, where c is the number of calories burned while boxing without heavy gloves.

Which of the following composite functions expresses the calories, as a function of time, Leona burns while boxing with heavy gloves?

c[b(t)] = 467.5t
c[b(t)] = 426.1t
b[c(t)] = 467.5t
b[c(t)] = 426.1t

Answers

The function for the number of calories burnt as a function of time is:
c(t) = 425 t

And for the number of calories burnt while boxing with gloves is:
b(c) = 1.1c

Therefore, the composite function that expresses the calories, as a function of time, Leon burns while boxing with heavy gloves is:
b[c(t)] = 1.1 (425 t)
b[c(t)] = 467.5 t

The answer is the third option

Answer:C. I took the test.

Step-by-step explanation:

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