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jek_recluse [69]
3 years ago
15

SOMEONE PLEASE HELP!!

Mathematics
1 answer:
jeyben [28]3 years ago
5 0

Answer:

RV = 18

Step-by-step explanation:

The diagonals of a parallelogram bisect each other, then

RV = \frac{1}{2} RT = \frac{1}{2} × 36 = 18

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Write the equation of an exponential function that passes through the points (2,48) and (5,750).
Otrada [13]
Ok, so the function form is y = a * bx.
Substitute in the values:
750 = a * b5
and
48 = a * b2
Then divide the two equations:
750/ 48 = (a * b5) / (a * b2)
So:
15.625 = b3
Take the cube root of both sides:
2.5 = b
Now, substitue b into one of the equations (the one with 48 has smaller numbers and is easier to work with.)
48 = a * 2.52
Simplify.
48 = a * 6.25
Divide both sides by 6.25
7.68 = a
Now substitute in a and b to write the exponential function:
y = 7.68 * 2.5x
7 0
3 years ago
What is the range of the function f(x) = 3x2 + 6x – 8?
timama [110]

Answer:

Range is {y | y ≥ –11}


Step-by-step explanation:

This is quadratic equation.

<em>A quadratic equation's range can be found if we find the vertex.</em>

For quadratic equations that have a positive number in front of  x^{2} , it is upward opening and thus <u>all the numbers greater than or equal to the minimum value of vertex is the range.</u>


The formula for vertex of a parabola is:

Vertex =  (-\frac{b}{2a}, f(-\frac{b}{2a})

Where,

  • a is the coefficient of x^{2}
  • b is the coefficient of x

From our equation given, a=3  and  b=6

Now, x coordinate of vertex is  x=-\frac{b}{2a}\\x=-\frac{6}{(2)(3)}\\x=-\frac{6}{6}\\x=-1

y coordinate of the vertex IS THE MINIMUM VALUE that we want. We get this by plugging in the x value [ x=-1 ] into the equation. So we have:

3(-1)^{2}+6(-1)-8\\=-11


Hence, the range would be all numbers greater than or equal to -11  

Third answer choice is the right one.


6 0
3 years ago
Read 2 more answers
Which sketch shows the inverse of y=a x where a is greater than 1?
Dahasolnce [82]
Answer: The answer would be a line that is not as steep and a reflection in the line y = x.

If the a value in the equation is greater than 1, we will have a line that is steeper than the line y = x.  

Now, we we take the inverse of the line, it will have a slope that is lower than y = x.

The graphs will be reflected in the line y = x.

Try graphing y = 3x and 3y = x.
6 0
4 years ago
Anya’s team won 4 games out of every 9 games this season. If the team played 45 games, how many games did they win?
tiny-mole [99]

Answer:20

Step-by-step explanation:4:9

9x5=45

4x5=20

20:45

8 0
3 years ago
A chef bought 43.4 pounds of white rice and 6.11 pounds of brown rice. How much rice did the chef buy in all?
lana66690 [7]

Answer:

49.51 pounds

Step-by-step explanation:

43.4+6.11

43.40

06.11

49.51

5 0
4 years ago
Read 2 more answers
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