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Nesterboy [21]
3 years ago
12

Sum of 2x 2 + 3x - 4, 8 - 3x, and -5x 2 + 2.

Mathematics
1 answer:
Salsk061 [2.6K]3 years ago
5 0
 (2x²<span> + 3x - 4) +  (8 - 3x) + (-5x</span>²<span> + 2)

= </span> 2x² + 3x - 4 +  8 - 3x - 5x² + 2

= -3x² + 6

= 3(-x² + 2)
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What is the area of this circle<br>​
antoniya [11.8K]

Answer:

Where is the circle

Step-by-step explanation:

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2 years ago
What to numbers can go into 72 and 45
ratelena [41]

Answer:

3 and 9

Step-by-step explanation:

3 * 24 = 72

9 * 8 = 72

3 * 15 = 45

9 * 5 = 45

8 0
3 years ago
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A helicopter flying at an altitude of 600 ft dropped a package to a lifeboat. Use the formula t= - to find how many
Andre45 [30]

Answer:

6.1 seconds

Step-by-step explanation:

<u><em>The correct question is</em></u>

A helicopter flying at an altitude of 600 ft dropped a package to a lifeboat. Use the formula t= √h/4 to find how many  seconds it takes for the package to reach the lifeboat. Round your answer to the nearest tenth of a second

we have

t= \frac{\sqrt{h}}{4}

substitute the value of h in the formula

h=600\ ft

t= \frac{\sqrt{600}}{4}=6.1\ sec

8 0
3 years ago
Solve the following quadratics. State the FACTORS AND SOLUTIONS. 1. 2x^2 - 7x + 3 2. 3x^2 + 7x +2
tekilochka [14]

Answer:

1. x = 3, 1/2 (solutions); (x - 3)(2x - 1) (factors)

2. x = -1/3, -2 (solutions); (3x + 1)(x + 2) (factors)

Step-by-step explanation:

<u>1. 2x^2 - 7x + 3</u>

To solve problem 1, you will need to identify your a, b, and c values in this quadratic function.

Since this problem is in standard form, it will be easy to identify these values. The standard form of a quadratic function is ax^2 + bx + c.

The a value is 2, the b value is -7, and the c value is 3 if we use our standard form and see which numbers are plugged into it.

Since we know that

  • a = 2
  • b = -7
  • c = 3

we can use the quadratic formula: x = \frac{-b~\pm~\sqrt{b^2~-~4ac} }{2a}

Substitute the a, b, and c values into the quadratic formula: x=\frac{-(-7)\pm\sqrt{(-7)^2-4(2)(3)} }{2(2)}

Now simplify using the laws of pemdas: x=\frac{7\pm\sqrt{(49)-(24)} }{4}

Simplify even further: x=\frac{7\pm\sqrt{(25)} }{4} \rightarrow x=\frac{7\pm (5) }{4}

Now split this equation into two equations to solve for x: x=\frac{12 }{4} ~~and~~ x=\frac{2 }{4}

12/4 can be simplified to 3, and 2/4 can be simplified to 1/2.

This means your solutions to problem 1 is 3, 1/2.

\boxed {x=3,\frac{1}{2} }

There is also another way to solve for the quadratic functions, and this was by factoring.

If you factor 2x^2 - 7x + 3 using the bottoms-up method, you will get (x - 3)(2x - 1).

After factoring, solving for the solutions is simple because all you have to do is set each factor to 0.

  • x - 3 = 0
  • 2x - 1 = 0

After solving for x by adding 3 to both sides, or by adding 1 to both sides then dividing by 2, you will end up with the same solutions: x = 3 and x = 1/2.

<u>2. 3x^2 + 7x + 2</u>

To save time I'll be using the bottoms-up factoring method, but remember to refer back to problem 1 (quadratic formula) if you prefer that method.

Factor this quadratic function using the bottoms-up method. After factoring you will have (3x + 1)(x + 2). These are your factors.

Now to solve for x and find the solutions of the quadratic function, you will set both factors equal to 0.

  • 3x + 1 = 0
  • x + 2 = 0

Solve.

<u>First factor:</u> 3x + 1 = 0

Subtract 1 from both sides.

3x = -1

Divide both sides by 3.

x = -1/3

<u>Second factor:</u> x + 2 = 0

Subtract 2 from both sides.

x = -2

Your solutions are x = -1/3 and x = -2.

\boxed {x = -\frac{1}{3} , -2}

7 0
3 years ago
The relative frequency table shows a survey on the support for candidate x in an upcoming national election. In this survey, 75
maxonik [38]

Answer:

D.

Step-by-step explanation:

a) no, because 50% of people who support candidate x are from California, but only 62.5% of all people in the study are from California.

b) yes, because 50% of people who support candidate x are from California, but only 62.5% of all people in the study are from California.

c) no, because 62.5% of people who support candidate x are from California, but only 50% of all people in the study are from California.

d) yes, because 62.5% of people who support candidate x are from California, but only 50% of all people in the study are from California.

The answer is D.

8 0
3 years ago
Read 2 more answers
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