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Pavel [41]
3 years ago
14

Which expression is equivalent to (-1/3)(6x + 15) -3 *

Mathematics
1 answer:
Vedmedyk [2.9K]3 years ago
4 0
-2x + 12 is the answer .
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Find the vertex of the graph of f(x) = x2 + 4x - 5.
Fofino [41]
You can solve this in two ways.

1. Graphical. Plot the graph for x between -5 and 1 (see attachement).
The vertex of the graph is the peak of the curve, which has the coordinates x=-2, y=-9.

2. Analytical. Calculate the derivative of the function f(x)
\frac{df}{dx}=2x+4
Solve the equation:
2x+4=0
will give the solution x=-2.
Replace x=-2 in the f(x) function and you'll get the value of y:
(-2)^2+4 \cdot (-2)-5=4-8-5=-9

You get the same answer: x=-2, y=-9

So the answer is
<span>B. (-2, -9)</span>

7 0
3 years ago
49v2 + 42v<br> 56v3<br> Simplify rational expression
Alchen [17]

Answer:

Simplify each term.

49 v ^2  +  2352 v ^4

Step-by-step explanation:

5 0
3 years ago
When 0.5 and the number n are multiplied the result is 2.5 what is the value of n​
tresset_1 [31]
<h2>0.5 × n = 2.5</h2>

  • first form an equation to solve the problem

  • <em>bring 0.5 over to the other side and divide it by 2.5</em>

<h3>n = 2.5 / 0.5</h3>

  • <em>the answer is </em>

<h3>n = 5</h3>

  • <em>so,</em>

<h2>0.5 × 5 = 2.5</h2>

hope that helps :)

8 0
3 years ago
Mark drew two triangles and 8 arrows as part of a set of 13 shapes. The only other type of shape in the set is a circle. What fr
luda_lava [24]

Answer:

3/13

Step-by-step explanation:

First...

What we know

1. There is a set of 13 shapes.

2. With 2 triangles, 8 arrows, and circles.

Next...

Take the number of triangles and arrows and add them up.

2 + 8 = 10

Finally...

Convert it into the fraction 10/13 and subtract it by the total 13/13.

This results 3/13.

3 0
3 years ago
Which fraction and decimal forms match the long division problem? ​
Oxana [17]

Answer:

0.44444444

Step-by-step explanation:

4 0
3 years ago
Read 2 more answers
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