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Klio2033 [76]
3 years ago
15

Find the solution set for the given inequality. -7x + 3 > 45 A) Show your work to solve this inequality (B) Graph the solutio

n on the number line (2)
Mathematics
1 answer:
scoundrel [369]3 years ago
8 0

Answer:

See explanation

Step-by-step explanation:

Given the inequality -7x+3>45

A) Add -3 to both sides of inequality:

-7x+3-3>45-3\\ \\-7x>42

Divide by -7 (remember, dividing the inequality by negative number changes the sign of inequality):

x

B) Plot open circle at -6 on the number line and shade all values of x which go to the left from -6 (see attached diagram).

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Yes you are absolutely right
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4 years ago
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Find principal of a loan at 11% for 5 years with $426.25 simple interest
Ahat [919]

Answer:

P=775

Step-by-step explanation:

The Simple Interest Equation is A = P(1 + rt)

where

A = Total Accrued Amount (principal + interest)

P = Principal Amount

I = Interest Amount

t = Time Period involved in months or years

In this case, we do not know the values ​​of the equation (A and P), but we know the amount of interest accrued

If we define our principal whit this formula, we are able to know the rest of the values:

A-P= interest

clearing

A=interest+P

replacing

426.25 + P = P (1+(0.11(5))

Solving

426.25+P=1.55P

P-1.55P=-426.25

-0.55P=-426.65

P=\frac{-426.25}{-0.55}

P=775

7 0
3 years ago
What is the slope of a line perpendicular to the line whose equations is x-y=6
belka [17]

Answer:

m = -1

Step-by-step explanation:

First write the line in slope intercept form y = mx+b where m is the slope and b is the y intercept

x-y = 6

subtract x from each side

-y = -x+6

Multiply each side by -1

y = x-6

The slope is 1

Perpendicular lines have slopes that multiply to -1

m * 1 = -1

m = -1

The slope of the perpendicular line is -1

6 0
3 years ago
Insert commas to show periods according to Indian as well as International place value system of 2349812
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Answer:

23,49,812

Step-by-step explanation:

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4 years ago
Which of the following circumstances would likely make completing the square th
svet-max [94.6K]

Answer:

The leading coefficient is 1 and the linear term coefficient is an even number

Step-by-step explanation:

Leading coefficient must be one for the application of completing square method. If the completing square is not one than we must apply other methods like Ac method, quadratic formula to solve the equation. To solve the equation with completing square the numerical value must be on other side of the equation. In this method we multiply linear term’s coefficient with one-half and square it therefore, completing square is suitable method for the equation having leading coefficient is 1 and linear coefficient is even.

3 0
3 years ago
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