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AleksAgata [21]
2 years ago
11

Any help would be great!

Mathematics
1 answer:
Elina [12.6K]2 years ago
8 0

Answer:

g(x) = (x + 3)²

Step-by-step explanation:

the equation of a parabola in vertex form is

y = a(x - h)² + k

where (h, k ) are the coordinates of the vertex and a is a multiplier

here (h, k ) = ( - 3, 0 ) , then

g(x) = (x - (- 3))² + 0 , that is

g(x) = (x + 3)²

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One number is 5 times a first number. A third number is 100 more than the first number. If the sum of the three numbers is 779,
AlladinOne [14]

Answer:

<h3>             97, 485 and 197</h3>

Step-by-step explanation:

x       - the first number

One number is 5 times a first number:

5x    - "one" number (the second number)

A third number is 100 more than the first number:

x + 100   - the third number

x + 5x + x+100   - the sum of the three numbers

x + 5x + x+100 = 779

            -100         -100    

    7x = 679

   ÷7       ÷7

      x = 97

5x = 5•97 = 485

x+100 = 97 + 100 = 197

Check:

97 + 485 + 197 = 779

7 0
3 years ago
How does a 180 degree rotation about the origin change the coordinates of a shape
notsponge [240]

Answer:

According to the 180°-rotation rule, you take the OPPOSITE of both the x-coordinate and y-coordinate:

180°: [<em>x</em>, <em>y</em>] → [<em>-x</em>, <em>-y</em>]

I am joyous to assist you anytime.

6 0
2 years ago
Twelve relatives always give gifts to one another. They have been doing it for eight years. How many exchanges have happened so
Kryger [21]

Answer:

660 exchanges

Step-by-step explanation:

Number of relatives = 12

Number of years = 5

Since each relative gives gift to one another each year:

Then each relative hands out 11 gifts (person giving out the gift will not be counted) to the others, and others also do the same.

Therefore, yearly exchange :

(Number of relatives * number of gifts given out per person)

(12 × 11) = 132

Number of exchanges after 5 years :

(Number of yearly exchanges × number of years)

(132 × 5) = 660

7 0
3 years ago
Which number rounds to 260 when rounded to the nearest 10?
mylen [45]
I looked it up and  got this........

What is 260 rounded to the nearest ten?
Here we will tell you what 260 is rounded to the nearest ten and also show you what rules we used to get to the answer. First, 260 rounded to the nearest ten is:
260
Remember, we did not necessarily round up or down, but to the ten that is nearest to 260.
When rounding to the nearest ten, like we did with 260 above, we use the following rules:
A) We round the number up to the nearest ten if the last digit in the number is 5, 6, 7, 8, or 9.
B) We round the number down to the nearest ten if the last digit in the number is 1, 2, 3, or 4.
C) If the last digit is 0, then we do not have to do any rounding, because it is already to the ten.

3 0
3 years ago
.help me please thanks
anzhelika [568]
Hello!

What you would need to do first is distribute the numbers inside the parenthesis.

6(t - 3) = 2(9 - 2t)
6t - 18 = 18 - 4t

Now that they've been distributed, you need to move all variables to one side, preferably to the left as it would make it easier to read and t would be positive.

6t - 18 = 18 - 4t
10t = 36

All that is left is to divide by 10 in order to leave t alone.

t = 3.6 or 18/5
8 0
2 years ago
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