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2 years ago

Which relation by a graph is a function? i cannot fit the 3rd graph in the pic brw

Mathematics

1 answer:

iren2701 [21]2 years ago

8 0

Neither of the graphs in the picture is a function

To be a function it needs to pass the vertical line test, which both of them fail.

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The sum of two numbers is 44. The second number is 4 less than three times the first number. Let x represent the first number an

fenix001 [56]

The equation x + (3x - 4) = 44 should be at the top of the last column

Step-by-step explanation:

The given is:

The sum of two numbers is 44
The second number is 4 less than three times the first number
x represent the first number and let y represent the second number

We need to find that If the table will be used to guess and check, what should the equation be at the top of the last column

∵ The 1st number is x

∵ The 2nd number is y

∵ The sum of the two numbers is 44

- Add x , y and equate the sum by 44

∴ x + y = 44 ⇒ (1)

∵ The second number is 4 less than three times the first number

- That means y is less than 3 times x by 4

∴ y = 3x - 4 ⇒ (2)

Now we have a system of equation

Substitute y in equation (1) by equation (2)

∵ x + (3x - 4) = 44 ⇒ (3)

- Add like terms in the left hand side

∴ 4x - 4 = 44

- Add 4 from both sides

∴ 4x = 48

- Divide both sides by 4

∴ x = 12

- Substitute the value of x in equation (2) to find y

∵ y = 3(12) - 4

∴ y = 36 - 4 = 32

∴ The two numbers are 12 and 32

The equation that can used in the table of guess and check is the equation after substitute the value of y by x, equation (3)

∴ The equation of the last column is x + (3x - 4) = 44

- Guess that x = 10, then 10 + (3 × 10 - 4) = 10 + 26 = 36 less than 44

- Guess that x = 11, then 11 + (3 × 11 - 4) = 11 + 29 = 40 less than 44

- Guess that x = 12, then 12 + (3 × 12 - 4) = 12 + 32 = 44

- Then x = 12 and y = 32

The equation x + (3x - 4) = 44 should be at the top of the last column

Learn more:

You can learn more about the system of equations in brainly.com/question/2115716

#LearnwithBrainly

5 0

3 years ago

Read 2 more answers

Sleep apnea: Sleep apnea is a disorder in which there are pauses in breathing during sleep. People with this condition must w up

bonufazy [111]

Answer:The required interval is (0.196, 0.030).

Step-by-step explanation:

Since we have given that

n = 432

x = 108

So, $\hat{p}=\dfrac{x}{n}=\dfrac{108}{432}=0.25$

at 99% level of confidence, z = 2.576

So, Margin of error would be

$z\times \sqrt{\dfrac{pq}{n}}\\\\=2.576\times \sqrt{\dfrac{0.25\times 0.75}{432}}\\\\=2.576\times 0.021\\\\=0.0536$

So, margin of error = 0.0536

Now, confidence interval would be

$\hat{p}\pm 0.0536\\\\=(0.25-0.0536,0.25+0.0536)\\\\=(0.1964,0.3036)\\\\\approx (0.196,0.030)$

Hence, the required interval is (0.196, 0.030).

5 0

3 years ago

Read 2 more answers

Find the outward flux of the vector field f=(x3,y3,z2) across the surface of the region that is enclosed by the circular cylinde

ahrayia [7]

Use the divergence theorem.

$\mathbf f(x,y,z)=(x^3,y^3,z^3)\implies \nabla\cdot\mathbf f=3(x^2+y^2+z^2)$

Calling the closed region $\mathcal R$ and its boundary the surface $\partial\mathcal R$ , we have by the divergence theorem,

$\displaystyle\underbrace{\iint_{\partial\mathcal R}\mathbf f\cdot\mathrm d\mathbf S}_{\text{flux}}=\iiint_{\mathcal R}\nabla\cdot\mathbf f\,\mathrm dV$

We set up the volume integral in cylindrical coordinates, using

$\begin{cases}x=u\cos v\\y=u\sin v\\z=w\end{cases}\implies\mathrm dV=u\,\mathrm du\,\mathrm dv\,\mathrm dw$

$\displaystyle\iiint_{\mathcal R}\nabla\cdot\mathbf f\,\mathrm dV=3\int_{w=0}^{w=6}\int_{v=0}^{v=2\pi}\int_{u=0}^{u=8}(u^2\cos^2v+u^2\sin^2v+w^2)u\,\mathrm du\,\mathrm dv\,\mathrm dw$
$=6\pi\displaystyle\int_{w=0}^{w=6}\int_{u=0}^{u=8}(u^3+uw^2)\,\mathrm du\,\mathrm dw=50,688\pi$

7 0

3 years ago

What is the median!!!

s344n2d4d5 [400]

Answer:

The median is 70.

Step-by-step explanation:

When finding the median in a box plot, it will always be the line inside the big box.

Hope this helps!!

6 0

3 years ago

Amira is solving the equation x2 – 6x = 1. Which value must be added to both sides of the equation to make the left side a perfe

Lorico [155]

Answer:

its 9

Step-by-step explanation:

I have gotten it correct on ED

7 0

3 years ago