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postnew [5]
3 years ago
5

State the number of real zeros and what they are for "3x^2+5x-2" pleas help me:'(

Mathematics
1 answer:
Lady bird [3.3K]3 years ago
3 0
This can be solved by factoring.

First, set the expression equal to zero.

3x^2+5x-2=0

Then, find two the factors of  ac whose sum is b.

6, -1

Split b into these two factors.

3x^2+6x-x-2=0

Next, factor by grouping.

3x(x+2)-1(x+2) = (3x-1)(x+2) = 0

By the Zero Product Property, set each factor equal to zero.

3x-1 = 0 \\ x = 1/3

x+2=0 \\ x = -2

These are the solutions. The Complex Conjugate Root Theorem and the Fundamental Theorem of Algebra both state that, in essence, real and imaginary solutions come in pairs of two and every polynomial of degree n has exactly n complex roots, but real roots are also complex roots. That sounds confusing, but this just means that you're done. Your answers are -2 and 1/3. There are two real roots.
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That is 8/100 or 80/1000
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3 years ago
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H and J are both between G and K such that GH = JK and H is between G and J.
DIA [1.3K]

Answer:

32

Step-by-step explanation:

So the order of the points is: GHJK

GH = x+10 =JK

HJ=8

JK=2x-4

JK = x+10=2x-4

x+10=2x-4

10+4=2x-x

x=14

GH= 14+10 =24

GJ = GH +HJ = 24+ 8=32

6 0
3 years ago
The table below represents the function F
nikklg [1K]

Answer:

C. 2^x+1

Step-by-step explanation:

Graph

6 0
3 years ago
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I need help please!!!
const2013 [10]

Part 1

<h3>Answer:   13</h3>

---------------------

Explanation:

We'll replace every copy of x with -3. Then use PEMDAS to simplify.

f(x) = -2x+7

f(-3) = -2(-3)+7

f(-3) = 6+7

f(-3) = 13

===========================================================

Part 2

<h3>Answer:  -11</h3>

---------------------

Explanation:

We work backwards in a sense compared to what part 1 did. Instead of finding f(x) based on x, we determine what x must be for a given f(x).

We'll replace f(x) with 29 and solve for x like so

f(x) = -2x+7

29 = -2x+7

-2x+7 = 29

-2x = 29-7

-2x = 22

x = 22/(-2)

x = -11

Note how if you replaced x with -11, we'd get,

f(x) = -2x+7

f(-11) = -2(-11)+7

f(-11) = 22+7

f(-11) = 29

which helps confirm we have the correct answer.

8 0
3 years ago
Use the information given to correctly complete the sentence.
IRISSAK [1]

Explanation: 54 yards is about 162 feet, and since we are converting measurements we need this ( duh ) and 135 seconds is approximately 2.25 minutes, so what we need to do is is divide the numbers like any conversion problem: 162 divided by 2.25  is 72.

Hope this answer helps!

4 0
3 years ago
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