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riadik2000 [5.3K]
3 years ago
11

Georges asked five of his friends how long they studied for the last math test and what grade they received. He found a linear r

egression equation for the data to be y = 9.6x + 65.8. What does the 65.8 mean in the context of this equation?
Mathematics
2 answers:
Thepotemich [5.8K]3 years ago
6 0

The answer is: 65.8 if they did not study at all. I just took the test I promise!! :D <3 Have a great day!! <3

Crazy boy [7]3 years ago
5 0
In order to answer this problem, let us assume that x is the number of hours (the independent variable) and y is the score obtained (the dependent variable). The value 65.8 is the y-intercept which means that we will get y = 65.8 if x is equal to zero. This means that 65.8 is the score that one can get if he does not study at all. 
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Consider the following graph.
Fed [463]

Cheryl drove at a speed of 65 mph for 1 minute, drove at a constant speed for 5.5 minutes, and then drove at a speed of 45 mph for 2.5 minutes.Option C is correct.

<h3>What is a graph?</h3>

A diagram depicting the relationship between two or more variables, each measured along with one of a pair of axes at right angles.

Cheryl traveled at a steady pace for 5.5 minutes, then 45 mph for 2.5 minutes after traveling at 65 mph for a minute.

Statement C best describes Cheryl's commute.

Hence option C is correct.

To learn more about the graph, refer to the link;

brainly.com/question/14375099

#SPJ1

4 0
2 years ago
Solve for x: -ax+4b&gt;9​
denpristay [2]

Answer:

x = - 9/a + 4b/a

Step-by-step explanation:

Isolate the variable by dividing each side by factors that don't contain the variable.

6 0
3 years ago
Calculate the area of triangle ABC with altitude CD, given A(6,-2) B(1,3) C(5,5) D(2,2)
Vikki [24]
The area will be half the product of the lengths of AB and CD.

|AB| = √((6-1)² +(-2-3)²) = 5√2
|CD| = √((5-2)² +(5-2)²) = 3√2

Area = (1/2)*(5√2)*(3√2) = (1/2)*(15*2) = 15

The appropriate choice is ...
  D: 15 square units
6 0
3 years ago
Find a factorization of x² + 2x³ + 7x² - 6x + 44, given that<br> −2+i√√7 and 1 - i√/3 are roots.
Levart [38]

A factorization of x^4+2x^3+7x^2-6x+44 is (x^2+4x+11)(x^2-2x+4).

<h3>What are the properties of roots of a polynomial?</h3>
  • The maximum number of roots of a polynomial of degree n is n.
  • For a polynomial with real coefficients, the roots can be real or complex.
  • The complex roots of a polynomial with real coefficients always exist in a pair of conjugate numbers i.e., if a+ib is a root, then a-ib is also a root.

If the roots of the polynomial p(x)=ax^4+bx^3+cx^2+dx+e are r_1,r_2,r_3,r_4, then it can be factorized as p(x)=(x-r_1)(x-r_2)(x-r_3)(x-r_4).

Here, we are to find a factorization of p(x)=x^4+2x^3+7x^2-6x+44. Also, given that -2+i\sqrt{7} and 1-i\sqrt{3} are roots of the polynomial.

Since p(x)=x^4+2x^3+7x^2-6x+44 is a polynomial with real coefficients, so each complex root exists in a pair of conjugates.

Hence, -2-i\sqrt{7} and 1+i\sqrt{3} are also roots of the given polynomial.

Thus, all the four roots of the polynomial p(x)=x^4+2x^3+7x^2-6x+44, are: r_1=-2+i\sqrt{7}, r_2=-2-i\sqrt{7}, r_3=1-i\sqrt{3}, r_4=1+i\sqrt{3}.

So, the polynomial p(x)=x^4+2x^3+7x^2-6x+44 can be factorized as follows:

\{x-(-2+i\sqrt{7})\}\{x-(-2-i\sqrt{7})\}\{x-(1-i\sqrt{3})\}\{x-(1+i\sqrt{3})\}\\=(x+2-i\sqrt{7})(x+2+i\sqrt{7})(x-1+i\sqrt{3})(x-1-i\sqrt{3})\\=\{(x+2)^2+7\}\{(x-1)^2+3\}\hspace{1cm} [\because (a+b)(a-b)=a^2-b^2]\\=(x^2+4x+4+7)(x^2-2x+1+3)\\=(x^2+4x+11)(x^2-2x+4)

Therefore, a factorization of x^4+2x^3+7x^2-6x+44 is (x^2+4x+11)(x^2-2x+4).

To know more about factorization, refer: brainly.com/question/25829061

#SPJ9

3 0
1 year ago
Read 2 more answers
Answer and ill mark you BRAINIEST
OlgaM077 [116]

Answer:

Step-by-step explanation:

Circle - A = πr²

Semi circle - A= 1/2 πr²

Trapezoid -  A= 1/2 (base 1 + base 2 ) x height

Rectangle - length x width

Triangle - A= 1/2 base x height

6 0
3 years ago
Read 2 more answers
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