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3 years ago

1. What is the solution to this system of equations?

Mathematics

1 answer:

vredina [299]3 years ago

3 0

I think it’s b. I hope this helps.

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A toy airplane costs $4.84.. It costs 4 times as much as a toy car. What is the cost of the toy car? Show your work.

Elina [12.6K]

Cost of airplane toy = $4.84
let x be the cost of the toy car
cost of airplane toy is 4 times the cost of toy car; it means
4x = $4.84
x = 4.84 / 4
x = 1.21
Thus, the cost of toy car is $1.21.

4 0

3 years ago

Three times the sum of the numbers x and 5 is 21.

MrRissso [65]

3 (x+5)=21 is the answer

7 0

3 years ago

What is the solution to<br> 6(2 - x)<-4x + 2?

cupoosta [38]

Answer:

Solving $6(2 - x)$ we get $\mathbf{x>5}$

Step-by-step explanation:

We need to find solution of $6(2 - x)$

Solving the inequality:

$6(2 - x)$

Multiply 6 with terms inside the bracket

$12-6x$

Subtracting 12 on both sides

$12-6x-12$

Adding 4x on both sides

$-6x+4x$

Divide both sides by -2 and the inequality will be reversed i.e < will be changes to >

$\frac{-2x}{-2}>\frac{-10}{-2}\\\mathbf{x>5}$

So, after solving $6(2 - x)$ we get $\mathbf{x>5}$

5 0

3 years ago

prove that if two circles are tangent externally then the common internal tangent bisects a common external tangent.

Scilla [17]

Explanation:

Consider the attached diagram.

Circles A and B have mutual tangents CF and DE that intersect at point F.

We know that the two tangents to a circle from an external point are congruent, so ...

FE≅ FC

FD ≅ FC

By the transitive property of congruence, both segments congruent to FC are congruent to each other:

FD ≅ FE

Therefore, CF is a bisector of DE.

5 0

3 years ago

Which of the following shows that polynomials are closed under subtraction when two polynomials, (5x2 + 3x + 4) − (2x2 + 5x − 1)

GuDViN [60]

Answer:

3x² - 2x + 5 ; will be a polynomial ⇒ answer A

Step-by-step explanation:

* Lets explain what is the polynomial

- A polynomial is an expression containing two or more algebraic terms.

- Polynomial is often the sum of some terms containing different powers

of variables.

- If you add or subtract polynomials, you get another polynomial.

- If you multiply polynomials, you get another polynomial.

* Lets solve the problem

∵ 5x² + 3x + 4 is polynomial

∵ 2x² + 5x - 1 is polynomial

- When we subtract them the answer will be polynomial

∵ (5x² + 3x + 4) - (2x² + 5x - 1)

- Open the second bracket by multiplying the negative sign by

each term in the bracket

∵ -(2x²) = -2x²

∵ -(5x) = -5x

∵ -(-1) = 1

∴ (5x² + 3x + 4) - (2x² + 5x - 1) = 5x² + 3x + 4 - 2x² - 5x + 1

- Add the like terms

∴ (5x² - 2x²) = 3x²

∴ (3x - 5x) = -2x

∵ (4 + 1) = 5

∴ (5x² + 3x + 4) - (2x² + 5x - 1) = 3x² - 2x + 5

∴ 3x² - 2x + 5 is a polynomial

∴ (5x² + 3x + 4) - (2x² + 5x - 1) = 3x² - 2x + 5 ; will be a polynomial

* The answer is A

4 0

3 years ago

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