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2 years ago

Which statements about the system are true? Select two options.

Mathematics

1 answer:

butalik [34]2 years ago

6 0

Answer:

no solution

Step-by-step explanation:

y = (1/3)x - 4

3y - x = -7

put the first equation into the second

3(1/3)x - (3)4 - x = -7

x - 12 - x = -7

-12 = -7 can never be true so this is no solution

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Which of the algebraic expressions are not linear expressions? Select all that apply. a. 3x - 2 b. -9y c. -7x^2^ + 4x d. -1/2x^2

Sedaia [141]

Answer:

c, d and e

Step-by-step explanation:

A linear expression is an expression in which sum of exponents of variables is at most 1 in each of its terms.

Option a: $3x - 2$

Here, the exponent of the variable is 1.

So, it is a linear expression.

Option b: $-9y$

Here, the exponent of the variable is 1.

So, it is a linear expression.

Option c: $-7x^2 + 4x$

Here, the highest exponent of the variable is 2.

So, it is NOT a linear expression.

Option d: $-\frac{1}{2} x^2$

Here, the exponent of the variable is 2.

So, it is NOT a linear expression.

Option e: $8xy$

Here, sum of exponents of variables is 2.

So, it is NOT a linear expression.

Hence, c, d and e are NOT algebraic expressions.

6 0

3 years ago

nadia wants to enclose a square garden with fencing has an area of 141 ft.² to the nearest foot how much fencing will she need e

Andreas93 [3]

We know that area of the square is 141 square feet. Therefore, we can figure out the dimension of square using formula for area as shown below:

$Area=a^{2}\\141=a^{2}\\a=\sqrt{141}=11.874$

We know that fencing is used along the sides of the square. Therefore, amount of fencing required will be equal to perimeter of square.

Hence, we can write:

$\text{Amount of fencing}=\text{Perimeter of square}$

$\text{Amount of fencing}=4a=4(11.874)=47.496$

Upon rounding to nearest foot, we get the amount of fencing required as 48 feet.

7 0

3 years ago

If 2/5n+4=20, what is the value of n?

Dimas [21]

2/5n + 4 = 20
/5 /5
2n + 4 = 100
- 4 -4
2n = 96
/2 /2
n = 48

The answer to your question is 48

6 0

3 years ago

What is the linear function equation that best fits the data set?

slavikrds [6]

Answer:

Option 3

Step-by-step explanation:

Given data set is,

{(1.5, 1), (2.5, 3), (3, 3), (3, 5), (3.5, 5), (4.5, 7), (5, 7), (5, 9), (5.5, 9), (6.5, 11), (7.5, 13)}

By using linear regression calculator,

Equation of the linear function will be,

y = 2x - 2

Therefore, Option 3 will be the correct option.

8 0

3 years ago

Does the lateral area in a prism include the base?

ladessa [460]

A rectangular prism, any pair of opposite faces can be bases

5 0

3 years ago

Read 2 more answers