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2 years ago

Paul graphs the equation y = 2x where does the graph intersect the y axis

Mathematics

1 answer:

MakcuM [25]2 years ago

6 0

Answer:

(0,0)

Step-by-step explanation:

Y = 2x is a <u>proportional</u> relationship because it follows the form y = kx, where k = constant of proportionality. Proportional relationships intersect the y-axis at (0,0), thus having a y-intercept of 0, but we usually don't write the 0.

Given the information above, y = 2x intersects the y-axis at (0,0), the origin.

Have a lovely rest of your day/night, and good luck with your assignments! ♡

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Use the discriminant to find the number and type of solution for x^2+6x=-9

likoan [24]

Answer:

D = 0; one real root

Step-by-step explanation:

Discriminant Formula:

$\displaystyle \large{D = {b}^{2} - 4ac}$

First, arrange the expression or equation in ax^2+bx+c = 0.

$\displaystyle \large{ {x}^{2} + 6x = - 9}$

Add both sides by 9.

$\displaystyle \large{ {x}^{2} + 6x + 9 = - 9 + 9} \\ \displaystyle \large{ {x}^{2} + 6x + 9 = 0}$

Compare the coefficients so we can substitute in the formula.

$\displaystyle \large{a {x}^{2} + bx + c = {x}^{2} + 6x + 9 }$

a = 1
b = 6
c = 9

Substitute a = 1, b = 6 and c = 9 in the formula.

$\displaystyle \large{D = {6}^{2} - 4(1)(9)} \\ \displaystyle \large{D = 36 - 36} \\ \displaystyle \large{D = 0}$

Since D = 0, the type of solution is one real root.

6 0

2 years ago

How do you solve the equation (X+3)^3=81

solmaris [256]

$(x+3)^3=81\\
x+3=\sqrt[3]{81}\\
x+3=3\sqrt[3]3\\
x=3\sqrt[3]3-3\\
$

4 0

2 years ago

[]

Viktor [21]

Answer:

Volume equals 75.4

You can use the formula V = πr^2 to solve for the volume of a cylinder

8 0

3 years ago

The diameter of the larger circle is 12.5 cm. The diameter of the smaller circle is 3.5 cm.

PilotLPTM [1.2K]

If the diameter of the smaller circle is 3.5cm, that means the radius is 1.75cm.

The area of the smaller circle is π × 1.75², which is ≈ 9.62112750162.

The diameter of the larger circle is 12.5 cm, so the radius would be half that, which is 6.25cm. The area of the larger circle would be π × 6.25², which is ≈ 122.718463031.

So now that we know the area of the larger circle and the smaller circle, we can find the area of the shaded region by subtracting the area of the smaller circle from the area of the larger circle, which is basically just 122.718463031 - 9.62112750162, which is = 113.097336. The closest answer here is 113.04, hence the answer is 113.04cm².

7 0

3 years ago

Canine hip dysplasia is a degenerative disease that causes pain in many dogs. Sometimes advanced warning signs appear in puppies

nordsb [41]

<h2>Answer with explanation:</h2>

Formula for plus-four confidence interval :

$\hat{p}\pm z^* \sqrt\dfrac{\hat{p}(1-\hat{p})}{n+4}}$

, where n= Sample size.

$\hat{p}$ = Sample proportion and $\hat{p}=\dfrac{x+2}{n+4}$

z* = Critical z-value.

Let p be the proportion of puppies area found with early hip dysplasia.

As per given , we have

n= 42

$\hat{p}=\dfrac{5+2}{42+4}=0.1522$

Since confidence interval is not given , so we assume it as 95% .

z-critical value for 95% confidence is 1.96.

Then, the required confidence interval will become :

$0.1522\pm (1.96)\sqrt{\dfrac{0.1522(1-0.1522)}{42+4}}\\\\ 0.152\pm (1.96)\sqrt{0.002805112173}\\\\ 0.152\pm 0.1038\\\\ =(0.1522- 0.1038 ,\ 0.152+ 0.1038)\approx(0.0484,\ 0.256)$

Hence, the plus four confidence interval for p = (0.0484, 0.256)

Interpretation: We are 95% sure that the true proportion of puppies area found with early hip dysplasia lies in (0.0484, 0.256).

7 0

2 years ago