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3 years ago

Given that f(x) = x^2-3/2

Mathematics

1 answer:

IRINA_888 [86]3 years ago

8 0

Step-by-step explanation:

a) f(3)=3^2 - 3/2

=9-3/2

=15/2

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2x + 5y = -3<br> 2x + 2y = 6

oee [108]

Answer:

(6, - 3 )

Step-by-step explanation:

Given the 2 equations

2x + 5y = - 3 → (1)

2x + 2y = 6 → (2)

Subtracting (1) from (2) term by term will eliminate the x- term

(2x - 2x) + (2y - 5y) = 6 - (- 3), that is

- 3y = 9 ( divide both sides by - 3 )

y = - 3

Substitute y = - 3 in either of the 2 equations and solve for x

Substituting y = - 3 in (1)

2x + 5(- 3) = - 3

2x - 15 = - 3 ( add 15 to both sides )

2x = 12 ( divide both sides by 2 )

x = 6

Solution is (6, - 3 )

8 0

3 years ago

Read 2 more answers

Which choices are equivalent to the expression below? Check all that apply.<br> 5 square root 3

blsea [12.9K]

Option A: $\sqrt{75}$

Option C: $\sqrt{15} \cdot \sqrt{5}$

Option F: $\sqrt{25} \cdot \sqrt{3}$

Solution:

Given expression is $5 \sqrt{3}$ .

Option A: $\sqrt{75}$

$\sqrt{75}=\sqrt{25\times3}$

$=\sqrt{5^2\times3}$

$=5\sqrt{3}$

Hence $\sqrt{75}$ is equivalent expression of $5 \sqrt{3}$ .

Option B: $\sqrt{45}$

$\sqrt{45}=\sqrt{9\times5}$

$=\sqrt{3^2\times5}$

$=3\sqrt{5}$

Hence $\sqrt{45}$ is not equivalent expression of $5 \sqrt{3}$ .

Option C: $\sqrt{15} \cdot \sqrt{5}$

$\sqrt{15} \cdot \sqrt{5}=\sqrt{15\times5}$

$=\sqrt{75}$

$=5\sqrt{3}$ (proved in option A)

Hence $\sqrt{15} \cdot \sqrt{5}$ is equivalent expression of $5 \sqrt{3}$ .

Option D: $\sqrt{3} \cdot \sqrt{5}$

$\sqrt{3} \cdot \sqrt{5}=\sqrt{3\times5}$

$=\sqrt{15}$

Hence $\sqrt{3} \cdot \sqrt{5}$ is not equivalent expression of $5 \sqrt{3}$ .

Option E: 75

75 is a whole number.

Hence 75 is not equivalent expression of $5 \sqrt{3}$ .

Option F: $\sqrt{25} \cdot \sqrt{3}$

$\sqrt{25} \cdot \sqrt{3}=\sqrt{25\times3}$

$=\sqrt{75}$

$=5\sqrt{3}$ (proved in option A)

Hence $\sqrt{25} \cdot \sqrt{3}$ is equivalent expression of $5 \sqrt{3}$ .

Therefore, $\sqrt{75},\ \ \sqrt{15} \cdot \sqrt{5}, \ \ \sqrt{25} \cdot \sqrt{3}$ are all equivalent expressions of $5 \sqrt{3}$ .

6 0

3 years ago

Two trains departed Charlotte at the same time. One train heads north at 60mph. The other train heads south at 40 mph. After 4 1

Mnenie [13.5K]

Answer:

71 miles per hour.

Step-by-step explanation:

hope it helps

7 0

3 years ago

Jack, sally and joe all work in a bookstore. Jack sold 126 books. Joe sold 1/2 as many books as many books as jack, and sally So

kumpel [21]

Answer:the number of books that Sally sold is 21

Step-by-step explanation:

Jack sold 126 books. Joe sold 1/2 as many books as many books as jack. This means that the number of books that Joe sold would be

1/2 × 126 = 63

Sally sold 1/3 as many books as joe. This means that the number of books that Sally sold would be

1/3 × 63 = 21 books.

4 0

3 years ago

Arrange in ascending order. : 5/8, 3/4, 7/12, 1/2<br>

AleksAgata [21]

Answer:

1/2, 7/12, 5/8, 3/4.

Step-by-step explanation:

I did that in ascending order.

4 0

3 years ago