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leva [86]
3 years ago
6

Solve each equation by graphing both sides of the equation or inequality

Mathematics
1 answer:
Andrews [41]3 years ago
4 0

Answer:

see below

Step-by-step explanation:

6.   -3x^2+9=-3

           -3x^2 =-12

               x^2=4

                x= ±2

Solution: x=2, x=-2

Points of intersection:  (2, -3) and (-2, -3)

7.         (x-2)^2-10\leq (x-6)^2-2

     x^2-4x+4-10\leq x^2-12x+36-2

                   -4x-6\leq -12x+34

                            8x\leq 40

                              x\leq 5

Solution:  x\leq 5

Point of intersection is (5, -1)

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To solve this problem, we know that the shapes have equal sides as it states “equilateral triangle”. A triangle has 3 sides and a hexagon has 6 sides. We are told the perimeters are the same so you can set their perimeters equal to each other to solve for x. You would get this : 3(1.4x + 2) = 6(0.5x +2)
With basic algebra you would get x= 5
Then you substitute that value into the length sides of the triangle and hexagon. For the triangle you would approx get 2.14 inches and for the hexagon 6 inches

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Step-by-step explanation:

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3 years ago
Yui makes a list of the balances in her savings account at the end of each month. She notices that each month’s total is 5% grea
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The Common Ratio is 1.05 . Option C is the answer.

The complete question is

Which value should she use as the common ratio?

0.05

0.5

1.05

5.0

<h3>What is common Ratio ?</h3>

In a Geometric Sequence the ratio between each if the consecutive number is called the common Ratio.

Let Yui saving at the end of first month is Rs.x .

As given in the question

each month’s total is 5% greater than the previous month’s total.

Saving after second month is = First Month Total + 5% of First Month Total

= x + (5 % of x )

= x + (5*x/100)

= x + 0.05x

= 1.05x.

Yui balance is 1.05 times of Previous Month balance

Common Ratio = {Next Month }/ {Previous Month}

Common Ratio = 1.05 x / x

Common Ratio = 1.05

Therefore Common Ratio is 1.05 . Option C is the answer.

To know more about Common Ratio

brainly.com/question/13637951

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