Y=3x-5 y=-6x+4 system of equations

Wyatt is flying a kite in the park. The kite is a horizontal distance of 24 feet from Wyatt's position and a vertical distance o

Paraphin [41]

If you are asking how long the string is or the hypotenuse it would be about 75.89466

3 0

3 years ago

(b) Three objects are brought close to each other, two at a time. When objects A and B are brought together, they repel. When ob

zheka24 [161]

Answer:

Step-by-step explanation:

When A and B are brought together then they repel i.e. A and B have same charge, either negative or positive

When B and C are brought together then they also repel. This implies that nature of charge on B and C is same

4 0

3 years ago

what is the polynomial function of lowest degree with leading coefficient of 1 and roots 2 and 1 + square root2

Marta_Voda [28]

If the roots to such a polynomial are 2 and $1+\sqrt2$ , then we can write it as

$(x-2)(x-(1+\sqrt2))$

courtesy of the fundamental theorem of algebra. Now expanding yields

$(x-2)(x-1-\sqrt2)=x^2-2x-(1+\sqrt2)x+2(1+\sqrt2)=x^2-(3+\sqrt2)x+2+2\sqrt2$

which would be the correct answer, but clearly this option is not listed. Which is silly, because none of the offered solutions are *the* polynomial of lowest degree and leading coefficient 1.

So this makes me think you're expected to increase the multiplicity of one of the given roots, or you're expected to pull another root out of thin air. Judging by the choices, I think it's the latter, and that you're somehow supposed to know to use $1-\sqrt2$ as a root. In this case, that would make our polynomial

$(x-2)(x-(1+\sqrt2))(x-(1-\sqrt2))=x^3-4x^2+3x+2$

so that the answer is (probably) the third choice.

Whoever originally wrote this question should reevaluate their word choice...

5 0

2 years ago

Quick algebra 1 question for 25 points!<br><br> Only answer if you know the answer, Tysm!

zzz [600]

Using a quadratic regression equation, it is found that the prediction of volunteers in year 10 is of:

A. 47.

<h3>How to find the equation of quadratic regression using a calculator?</h3>

To find the equation, we need to insert the points (x,y) in the calculator.

In this problem, we have that the function initially increases, then it decreases, which means that it is a quadratic function. The points (x,y) to be inserted into the calculator are given as follows:

(1, 20), (2,17), (3, 16), (4,16), (5,18), (6,21), (7,25), (8,31)

Inserting these points into the calculator, the prediction of y for a value of x is given as follows:

y = 0.702x^2 - 4.726x + 23.857

Hence, when x = 10, the prediction is:

y = 0.702 x 10² - 4.726 x 10 + 23.857

y = 47.

Hence option A is correct.

More can be learned about a quadratic regression equation at brainly.com/question/24028025

#SPJ1

4 0

1 year ago

Simplify the rational expressions. State any excluded values. X^2-4/2-x

tatiyna

Answer:

-x-2; x $\neq$ 2

Step-by-step explanation:

$\frac{x^2-4}{2-x}$ -->

$\frac{(x-2)(x+2)}{(2-x)}$ -->

-(x+2); x CAN'T equal 2, because the denominator of the original fraction would be 0, which would make the term undefined.

4 0

3 years ago