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BigorU [14]
3 years ago
10

Solve the quadratic equation by factoring 9x2+24+20=4

Mathematics
1 answer:
AnnyKZ [126]3 years ago
5 0

Answer:

Final answer is x=-\frac{4}{3} and x=-\frac{4}{3}.

Step-by-step explanation:

Given equation is 9x^2+24x+20=4.

Now we need to solve that by factoring.

9x^2+24x+20=4

9x^2+24x+20-4=0

9x^2+24x+16=0

9x^2+12x+12x+16=0

3x(3x+4)+4(3x+4)=0

(3x+4)(3x+4)=0

(3x+4)=0, (3x+4)=0

3x+4=0, 3x+4=0

3x=-4, 3x=-4

x=-\frac{4}{3}, x=-\frac{4}{3}

Hence final answer is x=-\frac{4}{3} and x=-\frac{4}{3}.

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Solve the inequality x - 4 < -3. Then graph the solution set. Show your work. ​
kari74 [83]

Answer:

x < 1

Step-by-step explanation:

x - 4 < - 3

+ 4    +4                        Do inverse operations by adding 4 on both sides

   x < 1

Therefore, the answer is x < 1.

(It isn't allowing me to attach a photo but I am just going to try make a visual of the graph below)

<------------------------------o------------------>

-4    -3    -2    -1     0    1     2    3      4

The circle is open because based on the concept that in inequalities, less/greater than and/or equal to (such as these ≥ ≤ ) signs are graphed with closed circles, while less/greater than (like these > <) signs are graphed with open circles. The direction of the arrow is moving to the left on the number line because all possible values for x would be less than 1. When graphing the inequality you would use a solid line rather than a dashed line (I had to improvise since I could not attach an image).

4 0
3 years ago
5a(-3b)(-2a^2b^3)<br> what is the answer to this question?
zhannawk [14.2K]

Answer:

(3•5•2a3b4)

Step-by-step explanation:

Step by step solution :

Step  1  :

Equation at the end of step  1  :

 -15ab • (0 -  (2a2 • b3))

Step  2  :

Multiplying exponential expressions :

2.1    a1 multiplied by a2 = a(1 + 2) = a3

Multiplying exponential expressions :

2.2    b1 multiplied by b3 = b(1 + 3) = b4

3 0
4 years ago
Need help ASAP please
Vika [28.1K]
Answer:
Hope this helps

8 0
2 years ago
What the degree of the polynomial and the y-intercept
Mumz [18]

Answer:

This is a fourth-degree polynomial

X-intercepts are - 5, -5, 3, and -3

The Y-intercept is 225

Step-by-step explanation:

Since it's already in the factored form you can find the zeros by separating each binomial and solving for x

x

2

−

25

=

0

x

2

=

25

x

=

±

5

x

2

−

9

=

0

x

2

=

9

x

=

±

3

so  

x

=

±

5

,

±

3

To find the y-intercept and the degree of the polynomial we need to convert the factored form into standard form

f

(

x

)

=

(

x

2

−

25

)

(

x

2

−

9

)

f

(

x

)

=

x

4

−

9

x

2

−

25

x

2

+

225

f

(

x

)

=

x

4

−

34

x

2

+

225

The degree of a polynomial is just the leading coefficients power which is 4 in this equation

In order to find the y-intercept we just need to allow  

x

=

0

because that is when any equation will cross the y-axis

f

(

x

)

=

0

4

−

34

(

0

)

2

+

225

f

(

x

)

=

225

4 0
3 years ago
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liberstina [14]

Answer:

$8.00 a bottle.

Step-by-step explanation:

5 0
3 years ago
Read 2 more answers
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