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2 years ago

Analyze the diagram below and complete the instructions

Mathematics

1 answer:

allochka39001 [22]2 years ago

6 0

Answer:

Step-by-step explanation:

Hope this helped! Please let me know if I'm wrong!

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Help im super confused on this question

Verizon [17]

Answer:

⦿ (7, 2)

Step-by-step explanation:

Try each solution in both inequalities and see which solution makes both inequalities true.

4x + 2y > 8

x - y ≥ 2

A. (2, 4)

4(2) + 2(4) > 8

16 > 8 True

2 - 4 ≥ 2

-2 ≥ 2 False

B. (4, 0)

4(-4) + 2(0) > 8

-16 > 8 False

C. (7, 2)

4(7) + 2(2) > 8

32 > 8 True

7 - 2 ≥ 2

5 ≥ 2 True

D. (1, -3)

4(1) + 2(-3) > 8

-2 > 8 False

Answer: C.

8 0

1 year ago

Obtain the general solution to the equation. (x^2+10) + xy = 4x=0 The general solution is y(x) = ignoring lost solutions, if any

alukav5142 [94]

Answer:

$y(x)=4+\frac{C}{\sqrt{x^2+10}}$

Step-by-step explanation:

We are given that a differential equation

$(x^2+10)y'+xy-4x=0$

We have to find the general solution of given differential equation

$y'+\frac{x}{x^2+10}y-\frac{4x}{x^2+10}=0$

$y'+\frac{x}{x^2+10}y=4\frac{x}{x^2+10}$

Compare with

$y'+P(x) y=Q(x)$

We get

$P(x)=\frac{x}{x^2+10}$

$Q(x)=\frac{4x}{x^2+10}$

I.F= $e^{\int\frac{x}{x^2+10} dx}=e^{\frac{1}{2}ln(x^2+10)}$

$e^{ln\sqrt(x^2+10)}=\sqrt{x^2+10}$

$y\cdot \sqrt{x^2+10}=\int \frac{4x}{x^2+10}\times \sqrt{x^2+10} dx+C$

$y\cdot \sqrt{x^2+10}=\int \frac{4x}{\sqrt{x^2+10}}+C$

$y\cdot \sqrt{x^2+10}=4\sqrt{x^2+10}+C$

$y(x)=4+\frac{C}{\sqrt{x^2+10}}$

6 0

3 years ago

...........................

cupoosta [38]

Answer:

3/5 or 0.6

Step-by-step explanation:

Here, given the value of tan theta , we want to find the value of sine theta

Mathematically;

tan theta = 0pposite/adjacent

Sine theta = opposite/hypotenuse

Firstly we need the length of the hypotenuse

This can be obtained using the Pythagoras’ theorem which states that the square of the hypotenuse equals sum of the squares of the two other sides.

Let’s call the hypotenuse h

h^2 = 3^2 + 4^2

h^2 = 9 + 16

h^2 = 25

h = √(25)

h = 5

Now from the tan theta, we know that the opposite is 3

Thus, the value of the sine theta = 3/5 or simply 0.6

5 0

3 years ago

The piecewise function h(x) is shown on the graph.

larisa [96]

Answer:

Step-by-step explanation:

-1

3 0

3 years ago

Which statements are true

AnnyKZ [126]

Answer:

A, B and C (close examination)

Step-by-step explanation:

A. 15m3 - 6m = 3m(5m2 - 6m)

m = 0 or m = 1/3

B. 40m6-4=4(10m6-1)

0 = 0
All real numbers are solutions

C. 6m2+18m=6m2(1+3m)

m = 0 or m = 1 or m = -1

D. 32m4+12m3(8m+3)

128m4 + 36m3

This is tough one but I will explain this problem by close examination:

The problem is looking for an equation that have the variable m by itself

D is out of the picture because the equations does not have m by itself

Equation B's answer is that all numbers are solutions meaning any m value you put will become the same. (Similar to Infinite Solutions)

By close examination, The answer are A, B, and C.

5 0

3 years ago