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3 years ago

I need help!!!! find x and y please

Mathematics

1 answer:

agasfer [191]3 years ago

4 0

X=-1
Y=1
It’s right because I looked it up on Photomath

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If P(event A) = 0.25, what is P(not event A)?

xz_007 [3.2K]

Answer:

0.75

Step-by-step explanation:

The probability of P(not event a) is equal to 1-p(event A)

3 0

3 years ago

Find all points on the x-axis that are 14 units from the point (6,-7) All points on the x-axis that are 14 units from the point

Maksim231197 [3]

Answer: $(6+7\sqrt{3},0)\text{ and }(6-7\sqrt{3},0)$ are the required points.

or (18.124,0) and ( -6.124,0) are the required points.

Step-by-step explanation:

Let (x,0) be the point on x -axis that are 14 units from the point (6,-7) .

Then by distance formula , we have

$\sqrt{(x-6)^2+(0-(-7))^2}=14\ \ \ [\ \because distance=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}]$

Taking square on both the sides , we get

$(x-6)^2+7^2=14^2\\\\\Rightarrow\ x^2+6^2-2(6)x+49=196\\\\\Rightarrow\ x^2+36-12x=147\\\\\Rightarrow\ x^2-12x=111\\\\\Rightarrow\ x^2-12x-111=0$

Using quadratic formula : $x=\dfrac{-b\pm\sqrt{b^2-4ac}}{2a}$

$x=\dfrac{12\pm\sqrt{(-12)^2-4(1)(-111)}}{2}\\\\\Rightarrow\ x=\dfrac{12\pm\sqrt{144+444}}{2}\\\\\Rightarrow\ x=\dfrac{12\pm\sqrt{588}}{2}\\\\\Rightarrow\ x=\dfrac{12\pm\sqrt{2^2\times7^2\times3}}{2}\\\\\Rightarrow\ x=\dfrac{12\pm14\sqrt{3}}{2}\\\\\Rightarrow\ x=6\pm7\sqrt{3}$

so, $(6+7\sqrt{3},0)\text{ and }(6-7\sqrt{3},0)$ are the required points.

since $\sqrt{3}=1.732$

so, $(6+7(1.732),0)\text{ and }(6-7(1.732),0)$ are the required points.

i.e. (18.124,0) and ( -6.124,0) are the required points.

3 0

3 years ago

Does anyone know how to do these maths question???

Dmitry_Shevchenko [17]

Answer:

Part 1) $f(g(x))=3(x^2)+2$

Part 2) $g(f(5))=289$

Step-by-step explanation:

we know that

A composite function is a function that depends on another function. A composite function is created when one function is substituted into another function

we have

$f(x)=3x+2$

$g(x)=x^{2}$

Part 1) Determine f(g(x))

To find f(g(x)) substitute the function g(x) as the variable in function f(x)

$f(g(x))=3(x^2)+2$

Part 2) Determine g(f(x))

To find g(f(x)) substitute the function f(x) as the variable in function g(x)

$g(f(x))=(3x+2)^2$

For x=5

$g(f(5))=(3(5)+2)^2$

$g(f(5))=289$

3 0

3 years ago

Explain how a number and it's reciprocal are related adding 28 ?

asambeis [7]

Step 1. Let x be the number and 1/x be its reciprocal.

Step 2. Then, since the sum of a number and its reciprocal is 25/12.

Step 3. Multiply 12x to both sides of the equation to get rid of the denominators.

Step 4. Subtract 25x to put the equation in quadratic form

4 0

3 years ago

Calculate the ROI, given the following: Andrew invested $20,000 in mutual funds and received a sum of $35,000 at the end of the

Dennis_Churaev [7]

We are given with an initial deposit of $20,000 and a future worth of $35,000. In this case, we are asked for the return of income (ROI) of the investment. in this case, we assume the number of years equal to 1. hence,

$35,000 = $20,000* (1+i) ^1
i or ROI then is equal to 0.75

3 0

3 years ago

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