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deff fn [24]
3 years ago
10

Solve the equation. 5/6 x-4 = -2

Mathematics
1 answer:
lora16 [44]3 years ago
7 0

Answer:

2 2/5

Step-by-step explanation:

5/6 x-4 = -2

Add 4 to each side

5/6 x-4+4 = -2+4

5/6 x = 2

Multiply by 6/5 to isolate x

6/5 *5/6 x = 6/5 *2

x = 12/5

Changing this from an improper fraction

5 goes into 12   2 times with 2 left over

x = 2  2/5

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The value of the expression 10 - 1/2^4 x 48<br> A = 2<br> B = 4<br> C = 5<br> D = 7
DaniilM [7]

Answer:

option d is correct answer

4 0
3 years ago
If f(x) = 3x2 + 2 and g(x) = x2 – 9, find (f – g)(x).
hoa [83]

Answer:

2x^2 +11

Step-by-step explanation:

f(x) = 3x^2 + 2 and g(x) = x^2 – 9

(f – g)(x) =  3x^2 + 2 -( x^2 – 9)

Distribute the minus sign

                     3x^2 + 2 - x^2 + 9

Combine like terms

                     2x^2 +11

                 

8 0
3 years ago
The general form for a linear equation is given as: y = a + bx. In the regression equation, b is called the ______.
Viktor [21]

Answer:

Slope

Step-by-step explanation:

In the regression equation y=a+bx, y is dependent variable and x is independent variable. It means that due to change in x the y changes respectively. The "a" is intercept of the model and it shows the value of y when x is zero. The "b" is the slope of the model and it depicts the change in y due to unit change in x. The positive value of b means that as the x increases y also increases and as the x decreases y also decreases. The negative value of b means that as the x decreases y increases and as the x increases the y decreases.The sign of b shows the type of relationship between independent and dependent variable.

5 0
3 years ago
Simplify the following expression<br> (4.1 × 105) + (5.5 × 106)
kakasveta [241]

Answer:

It is 1130.1 hope this helps

5 0
3 years ago
A student's course grade is based on one midterm that counts as 15% of his final grade, one class project that counts as 15% of
kow [346]

Answer:

Overall final score = 77.75% ; Grade = C.

Step-by-step explanation:

The approach to solve this question is to realize that the marks have to be converted into the respective percentages of the whole course. This means that the marks of all the components have to be normalized according to the grading breakdown.

Project Marks = 97/100. Weightage = 15%. So 97*15/100 = 14.55/15.

This means that the student received 14.55 marks in the project out of 15.

Similarly for other components:

Mid-Term Marks = 83/100. Weightage = 15%. So 83*15/100 = 12.45/15.

Homework Marks = 82/100. Weightage = 35%. So 82*35/100 = 28.7/35.

Finals Marks = 63/100. Weightage = 35%. So 63*35/100 = 22.05/35.

After the conversion process, add up the normalized marks, which are now acting as the percentages earned in all the components.

Aggregate Percentage = 14.55 + 12.45 + 28.7 + 22.05 = 77.75%.

According to the grade scale, the student receives a C because 70 is less than 77.75 and 77.75 is less than 80.

Summarizing, the student receives a C at 77.75%!!!

7 0
3 years ago
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