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3 years ago

What is the answer for this math?

Mathematics

1 answer:

Westkost [7]3 years ago

6 0

Answer:

x=-4.992 and x=-0.434

Step-by-step explanation:

we have

$\frac{\sqrt{3x+15}}{5}=2^{x}$

we can divide the equation above into two equations

$y=\frac{\sqrt{3x+15}}{5}$ ----> equation A

$y=2^{x}$ ----> equation B

Solve by graphing

The solutions of the system are the x-coordinates of the intersection points both graphs

using a graphing tool

The solutions are x=-4.992 and x=-0.434

see the attached figure

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8) Factor each sum or difference of cubes completely.<br> a. 8x3 + 27

ASHA 777 [7]

Answer:

$\large\boxed{(2x+3)(4x^2-6x+9)}$

Step-by-step explanation:

$8=2^3\\\\8x^3=2^3x^3=(2x)^3\\\\27=3^3\\\\8x^3+27=(2x)^3+3^3\qquad\text{use}\ a^3+b^3=(a+b)(a^2-ab+b^2)\\\\=(2x+3)\bigg((2x)^2-(2x)(3)+3^2\bigg)=(2x+3)(4x^2-6x+9)$

4 0

3 years ago

Please answer look at pitot

klio [65]

Answer:

z = 7

Step-by-step explanation:

Based on the midsegment theorem of a triangle, the length of the midsegment of the triangle (z) = ½ of the length of the 3rd side of the triangle (14)

Thus:

z = ½(14)

z = 7

4 0

3 years ago

Which of the following sentences could not be used to represent the equation 7/2= 14?

yawa3891 [41]

Answer:

The third sentence is wrong.

Step-by-step explanation:

It is not 2 divided by a number equals 14. 7 is divided by a number and equals 14.

7 0

3 years ago

If x€{-2,-1,0,1,2,3,4,5} find the solution set 7-x>0 ii 3-4x>-2 vi 3x+4>-2

maw [93]

Answer:

i) {-2 , -1 , 0 , 1 ,2 , 3 , 4 , 5}

ii) {-2 , -1 , 0 , 1}

iii) {-1 , 0 , 1 ,2 , 3 , 4 , 5}

Step-by-step explanation:

i) 7 - x > 0

⇔ 7 > x

⇔ x < 7

⇔ x ∈ {-2 , -1 , 0 , 1 ,2 , 3 , 4 , 5}

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ii) 3 - 4x > -2

⇔ 3 + 2 > 4x

⇔ x < 5/4

⇔ x ∈ {-2 , -1 , 0 , 1}

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iii) 3x + 4 > -2

⇔ 3x > -2 - 4

⇔ 3x > -6

⇔ x > -6/3

⇔ x > -2

⇔ x ∈ {-1 , 0 , 1 ,2 , 3 , 4 , 5}

8 0

2 years ago

If the graphs of the linear equations in a system are the same line, what does that mean about the possible solution or solution

kvasek [131]

I think it’s c there are many solutions

8 0

3 years ago

What is the answer for this math?​

What is the answer for this math?