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photoshop1234 [79]
3 years ago
7

Sasha is selling t-shirts. She uses the function f(x) = 2x + 8 to determine her sales, where

Mathematics
1 answer:
ololo11 [35]3 years ago
7 0

Answer:

f(x)=56

Step-by-step explanation:

2(24)+8=56

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The sum of two numbers is 9.9, and the sum of the squares of the numbers is 53.21. What are the numbers?
Snezhnost [94]

Answer:

There are two possibilities:

x_{1} = 3.5 and y_{1} = 6.4

x_{2} = 6.4 and y_{2} = 3.5

Step-by-step explanation:

Mathematically speaking, the statement is equivalent to this 2-variable non-linear system:

x + y = 9.9

x^{2} + y^{2} = 53.21

First, x is cleared in the first equation:

x = 9.9 - y

Now, the variable is substituted in the second one:

(9.9-y)^{2} + y^{2} = 53.21

And some algebra is done in order to simplify the expression:

98.01-19.8\cdot y +2\cdot y^{2} = 53.21

2\cdot y^{2} -19.8\cdot y +44.8 = 0

Roots are found by means of the General Equation for Second-Order Polynomials:

y_{1} \approx \frac{32}{5} and y_{2} \approx \frac{7}{2}

There are two different values for x:

y = y_{1}

x_{1} = 9.9-6.4

x_{1} = 3.5

y = y_{2}

x_{2} = 9.9 - 3.5

x_{2} = 6.4

There are two possibilities:

x_{1} = 3.5 and y_{1} = 6.4

x_{2} = 6.4 and y_{2} = 3.5

5 0
3 years ago
Match the terms to their definition.1 . an open sentence of the form Ax + By + C < 0 or Ax + By + C > 0 linear inequality2
ra1l [238]

Answer:

1 . An open sentence of the form Ax + By + C < 0 is a linear inequality.

2 . An equation containing more than one variable is a literal equation.

3 . A statement formed by two or more inequalities is a compound inequality.

Step-by-step explanation:

A linear Inequality contains one inequality sign (> or <) sign, In Ax + By + C < 0,  Ax + By + C is less than 0.

A literal equation contains more than one variable and equates to a number. An example is Ax + By = 0.

A compound inequality uses OR and AND to join two linear inequalities. When AND is used, it indicates that the values of the variables are true in both inequalities.

6 0
3 years ago
-4(7a+5) = -160 Show All Work!
Fynjy0 [20]

Answer:

a=-20

Step-by-step explanation:

-4(7a+5)=-160

7a+(-20)=-160 Multiply -4 and 5

7a=-140 Subtract -20 from -160

a=-20 Divide 7 by -140

7 0
3 years ago
8 times the sum of a number 4 is 5 with the variable w
Vlada [557]

Answer:

8(w+4)=5

Step-by-step explanation:

6 0
2 years ago
If x=3, Solve, -3x +4 *
eduard

Answer:

-5

Step-by-step explanation:

3x -3 = -9 + 4 = -5

3 0
3 years ago
Read 2 more answers
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