What two numbers multiply to 10 and add to -29 ?

Answers

Answer 1

Answer: xy=10
x+y=29

subtract x from both sides for second equation

y=-x-29
subsitute in second equaiton
x(-x-29)=10
-x^2-29x=10
add x^2+29x to both sides
x^2+29x+10=0
quadratic formula
if you have
ax^2+bx+c=0,
x= $\frac{-b+/- \sqrt{b^(2)-4ac} }{2a}$

so
x^2+29x+10=0
a=1
b=29
c=10
x= $\frac{-29+/- \sqrt{(-29)^(2)-4(1)(10)} }{2(1)}$
x= $(-29+/- √(841-40) )/(2)$
x= $(-29+/- √(801) )/(2)$
x= $(-29+/- 3√(89) )/(2)$

x= $(-29- 3√(89) )/(2)$ or $(-29+ 3√(89) )/(2)$
those are the 2 numbers
aprox=-28.65 and -0.349

Answer 2

Answer: There are none.
You can prove this by graphing.
xy = 10
y = 10/x

x + y = -29
y = -x - 29

On the graphing calculator, type in
Y1 = 10/x
Y2 = -x - 29

As you can see the two do not intersect.

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Solve the following equations graphically. Verify the solution sets using the original equations.a. |x| = x2

Answers

Answer: x = 0 or x = 1

Step-by-step explanation:

The graphic solution is attached.

Verifying the solution

|x| = x²

x = -x² or x = x²

x does not exist x = 1 or x = 0

because x² is always +

What is the domain of the square root function graphed below?

Answers

we know that

the domain of the square root function graphed is equal to

the interval------> [3,∞)

the domain is all real numbers for $x\geq 3$

and

the range of the square root function graphed is equal to

the interval------> [1,∞)

the range is all real numbers for $f(x)\geq 1$

therefore

the answer is the option

$x\geq 3$

Domain of a function which allows all values to be in it if for those values the function has defined output. The domain of the plotted function is $x \geq 3$

What is domain and range of a function?

Domain is the set of values for which the given function is defined.
Range is the set of all values which the given function can output.

Since in the given plot, the function starts from 3, and is defined for all values after 3, so it is has domain including 3, and all values after 3.

Thus, domain of given function is

$x = 3\nand\nx > 3$

This can be written in short form as $x \geq 3$

(remember that usually, input values are on x axis(horizontal axis), and output values of the function are on y axis (vertical axis)

Thus,

The domain of the plotted function is

Option D : $x \geq 3$

Learn more about domain of a function here:

brainly.com/question/26077568

The formula below gives D, the demand for concert tickets when the price of each ticket is P dollars. D(p)=2000-4p-p^2
What's the value if D(15)

Answers

D(15)=1715
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You do this because p=15 and you know this because 15 is inside the parentheses by d (D(p))

A, B & C form a triangle where ∠ BAC = 90°. AB = 13.5 mm and CA = 3.2 mm. Find the length of BC, giving your answer rounded to 1 DP.

Answers

Answer:

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Step-by-step explanation:

Use Pythagorean Theorem:

Both of the lengths given are the legs,

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Carl and a friend are on the antique ferris wheel ride at a carnival. the ride stops to unload the riders. Carl's seat forms a 72 degree angle with an horizontal axis running through the center of the ferris wheel........ If the radius of the ferris wheel is 9m and the center of the wheel is 11m off the ground. determine the height of Carl's seat

Answers

Hello,
Let C the center of wheel.
P is the Carl's seat
A is the intercept of the horizontal line passing by A and the vertical line passing by P
In the right triangle PAC, sin 72°=AP/CP
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Can someone please explain how to find fractional notation from a decimal or percent? Example: 82.5% I convert to decimal 0.825 however I am having trouble with fractional notation. :(

Answers

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82.5
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100

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