3 years ago

Solvew the inequality and graph the solution 8+X < 12

Mathematics

1 answer:

netineya [11]3 years ago

6 0

The answer to the problem is x<span> <4</span>

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3/a times x -4 equals 20

jenyasd209 [6]

Answer:

a = -5/3

Step-by-step explanation:

3/a × -4 = 20

3a × -4/-4 = 20/-4

3a = -5

a = -5/3

Check:

3/(-5/3) × - 4 = 20

-5 × - 4 = 20

4 0

1 year ago

Use the method in the Example to find the square roots of 1 + √3i

kiruha [24]

Answer:

$\sqrt{1 + \sqrt{3} i}=\pm (1.58+i 0.548)$

Step-by-step explanation:

Given

z = 1 + √3 i

Let $\sqrt{1+\sqrt(3) i}=p+iq$

Squaring both sides

$1+\sqrt(3) i=p^2-q^2+2ipq$

Comparing real and imaginary part

Re(LHS)=Re(RHS)

$1=p^2-q^2$ ...........................(1)

comparing Im(LHS)=Im(RHS)

√3=2pq

$q=\frac{\sqrt{3}}{2p}$

Substitute q in equation (1)

$1=p^2-(\frac{\sqrt{3}}{2p})^2$

$p^4-p^2-0.75=0$

Let $x=p^2$

$x^2-x-0.75=0$

$x=\dfrac{1\pm \sqrt{1^2+4\times 0.75}}{2}$

$x=\frac{1\pm 4}{2}$

we take only Positive value because $p^2=x$

x=2.5

$p^2=2.5$

thus $p=\pm 1.58$

$q=\pm 0.548$

thus,

$\sqrt{1 + \sqrt{3} i}=\pm (1.58+i 0.548)$

5 0

3 years ago

What is <br><img src="https://tex.z-dn.net/?f=6.73%20-%202%20%5Ctimes%205to%20%5C%3A%20the%20%5C%3Azero%20%5C%3A%20power%20%5Cdi

attashe74 [19]

$\bf 6.73-2\cdot 5^0\div 2\impliedby \mathbb{PEMDAS}
\\\\\\
6.73-\underline{2\cdot 1}\div 2\implies 6.73-\underline{2\div 2}\implies 6.73-1\implies 5.73$

5 0

3 years ago

Does the graph represent a function?

Paladinen [302]

Answer:

Yes, the graph is a function.

Vertical line test proves so.

5 0

2 years ago

What is the decay factor that corresponds to a product that decreases its value first by 20%, and than decreases by 40% of its v

Georgia [21]

(1-0.2)(1-0.4)(1-0.62) = (0.8)(0.6)(0.38) = 0.1824

Answer: 0.1824

8 0

3 years ago

Read 2 more answers