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4 years ago

Mr. lumber got asked his third grade class to name the rule for the following number patterns.

Mathematics

2 answers:

Pie4 years ago

8 0

You always get from one term to the next by adding 6:

$573 + 6 = 579$

$579 + 6 = 585$

$585 + 6 = 591$

$591 + 6 = 597$

So, the rule is "add 6"

Kobotan [32]4 years ago

5 0

Answer:

Add 6

Step-by-step explanation:

If you see the equations 573+6=579

579+6=585

585+6=591

591+6=597

they all are added by 6

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In the expression 3x+7-9n+12, there are how many terms? *

azamat

There are four terms in that expression.

6 0

3 years ago

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Rewrite each equation in vertex form by completing the square. Then identify the vertex.

ioda

ANSWER

Vertex form;

$y = 3( {x + \frac{3}{2} })^{2} - \frac{35}{4}$

Vertex

$V( - \frac{3}{2} , - \frac{35}{4} )$

EXPLANATION

Given:

$f(x) = 3 {x}^{2} + 9x - 2$

We complete the square as follows:

$y = 3( {x}^{2} + 3x) - 2$

$y = 3( {x}^{2} + 3x + \frac{9}{4} ) - 2 - 3 \times \frac{9}{4}$

The vertex form is:

$y = 3( {x + \frac{3}{2} })^{2} - \frac{35}{4}$

The vertex is

$V( - \frac{3}{2} , - \frac{35}{4} )$

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4 years ago

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Which figures have rotation symmetry?<br> Select each correct answer.

olga nikolaevna [1]

From the options presented, only figure number 2 or the one that looks like a cross has a rotation symmetry.

<h3>What is rotation symetry?</h3>

This type of symmetry implies that when a figure is rotated it matches its original shape. An example of this is the circle.

<h3>Which figures have rotation symmetry?</h3>

From the options presented, only the cross has this symetry because its side are equal and this means you can rotate it and it will look the same.

Learn more about symmetry in: brainly.com/question/1531736

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3 0

2 years ago

Solve each system by substitution.<br> y=5x-7<br> -3x-2y=-12<br> Type in your solution (x,y)

aksik [14]

<h3>Given system :</h3>

$y = 5x - 7 \\ - 3x - 2y = - 12$

<h3>Solution to the system :</h3>

Substitute the given value of y into the equation -3x-2y=-12

$- 3x - 2(5x - 7) = - 12$

Distribute -2 through the parentheses

$- 3x - 10x + 14 = - 12$

Collect like terms

$- 13x + 14 = - 12$

Move the constant to the right-hand side and change its sign

$- 13x = - 12 - 14$

Calculate the sum and divide both sides of equation by -13

$x = 2$

Now, Substitute the given value of x into y=5x-7

$y = 5(2) - 7$

Multiply the numbers

$y = 10 - 7$

Subtract the numbers

$y = 3$

The possible solution of the system is the ordered pair (x,y)

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

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2 years ago

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Eugene ate 20% of the Christmas cookies his

enyata [817]

Answer:

40 is the total amount of cookies

32 is the amount left

Step-by-step explanation:

If 20% of cookies equal to 8 then to find how many are there in total we multiply 8 with 100 then divide it with 20

8 × 100 ÷ 20 = 40

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3 years ago