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3 years ago

6

Simplify (3x − 5) + (3x + 6)

1 answer:

fredd [130]3 years ago

7 0

Anwer would be A, not as hard as they make it out to be

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Match the system of equations on the left with the appropriate solution on the right.

VARVARA [1.3K]

Answer:

$x=7-2y$ $(1,3)$

$3x+6y=-9$ $(-1,-1)$

$4x-2y-3$ $\text{no solution}$

$2x+4y=7$ $\text{infinite number of solutions}$

$x=-2y-3$ $(1,-2)$

Step-by-step explanation:

1: $x=7-2y$

$\Rightarrow x+2y=7$

$\Rightarrow (1,3)\;\text{is a solution of the above equation}.$

2: $3x+6y=-9$

$\Rightarrow 3(-1)+6(-1)=-3-6=-9$

$\Rightarrow (-1,-1)\; \text{is a solution of the equation 3x+6y=-9}.$

3: $4x-2y-3$

$\Rightarrow \;\text{It is not an equation}\\ \text{So, 4x-2y-3 has no solution.}$

4: $2x+4y=7$

$\Rightarrow 2x+4y=7\;\text{have an infinite number of solutions.}\\\text{Because for every x there exists a value of y which satisfies the equation.}$

5: $x=-2y-3$

$\Rightarrow x+2y=-3$

$\Rightarrow 1-2(-2)=1-4=-3$

$\Rightarrow (1,-2)\; \text{is a solution of the equation x=-2y-3}.$

7 0

3 years ago

A geometric sequence is shown below 2,-6,18,-54,162,... part A: what a recursive relationship for this sequence. Explain how you

fgiga [73]

<h3>Answer:</h3>

a_n = -3a_(n-1); a_1 = 2
a_n = 2·(-3)^(n-1)

<h3>Step-by-step explanation:</h3>

A) The problem statement tells you it is a geometric sequence, so you know each term is some multiple of the one before. The first terms of the sequence are given, so you know the first term. The common ratio (the multiplier of interest) is the ratio of the second term to the first (or any term to the one before), -6/2 = -3.

So, the recursive definition is ...

... a_1 = 2

... a_n = -3·a_(n-1)

B) The explicit formula is, in general, ...

... a_n = a_1 · r^(n -1)

where r is the common ratio and a_1 is the first term. Filling in the known values, this is ...

... a_n = 2·(-3)^(n-1)

6 0

3 years ago

The speed of light is about 6.71 times 10 with the power of 8 miles per hour. What is it in number standard form?

Umnica [9.8K]

The answer is going to be 671,000,000
Hopes This Helps:)

7 0

4 years ago

The area of a rectangle is 54 ft?, and the length of the rectangle is 3 ft more than twice the width. Find the dimensions of the

nikklg [1K]

Answer:

prim

Step-by-step explanation:

3 0

3 years ago

(02.06 MC) Figure ABCD is a rhombus, and m∠BAE = 9x + 2 and m∠BAD = 130°. Solve for x. Rhombus ABCD with diagonals AC and BD and

SVEN [57.7K]

An angle bisector divides an angle into equal parts.

<em>The value of x is 7</em>

The given parameters are:

$\angle BAE = 9x + 2$

$\angle BAD = 130^o$

Line AE is the angle bisector of $\angle BAD$

This means that:

$\angle BAD = 2 \times \angle BAE$

So, we have:

$130 = 2 \times (9x + 2)$

Divide both sides by 2

$65 = 9x + 2$

Subtract 2 from both sides

$63 = 9x$

Divide both sides by 9

$7 = x$

Rewrite as:

$x = 7$

Hence, the value of x is 7

Read more about angle bisectors at:

brainly.com/question/12896755

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3 years ago