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2 years ago

Helpppp pweeseee, i cant figure this out, it has something to do with slope intercept form

Mathematics

1 answer:

andrew-mc [135]2 years ago

7 0

Answer:

The answer should be B) The initial fee of $25

Step-by-step explanation:

The equation for slope-intercept form is y = mx + b, with b being the y-intercept. In this equation, b = 25. The question is asking to interpret the y-intercept, so you would have to reread the question and see that it says the company charges your team with "an initial fee of $25". So, the answer is B.

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According to the Fundamental Theorem of Algebra, the graph of f(x) = x2 - 4x + 3, has roots. From the graph we can see that it h

andreyandreev [35.5K]

Answer:

The graph $f(x)=x^2-4x+3$ has two zeros namely 3 and 1.

Step-by-step explanation:

Consider the given equation of graph $f(x)=x^2-4x+3$

According to the Fundamental Theorem of Algebra

For a given polynomial of degree n can have a maximum of n roots.

Thus, for the given equation $f(x)=x^2-4x+3$ the degree of polynomial is 2 , thus the function can have maximum of 2 roots.

We know at roots the value of function is 0 that is f(x) = 0,

Substitute f(x) = 0 , we get, $f(x)=x^2-4x+3=0$

This is a quadratic equation, $x^2-4x+3=0$

We first solve it manually and then check by plotting graph.

Quadratic equation can be solved using middle term splitting method,

here, -4x can be written as -x-3x,

$x^2-4x+3=0 \Rightarrow x^2-x-3x+3=0$

$\Rightarrow x(x-1)-3(x-1)=0$

$\Rightarrow (x-3)(x-1)=0$

Using zero product property, $a\cdot b=0 \Rightarrow a=0\ or \ b=0$

$\Rightarrow (x-3)=0$ or $\Rightarrow (x-1)=0$

$\Rightarrow x=3$ or $\Rightarrow x=1$

Thus, the two zero of f(x) are 3 and 1.

We can also see on graph attached below that the graph $f(x)=x^2-4x+3$ has two zeros namely 3 and 1.

3 0

2 years ago

Consider the parallelogram.<br><br> What is the area of the parallelogram?

liberstina [14]

22.31 because A= BH where B is base length and H is Height. Multiply 5.25 by 4.25 and you get 22.31

7 0

2 years ago

Read 2 more answers

Help Plz help me plz plz

Anvisha [2.4K]

I think the answer is the second one! Hope this helps!

8 0

2 years ago

What’s the distance ?

Aleksandr [31]

Answer:

$3$

Step-by-step explanation:

This problem asks one to find the length of the given line. Another way to think about this problem is to believe that the problem asks one to find the distance from one point to another. The endpoints on this line are the following,

$(4,2), (5, 5)$

The formula to find the distance between two points on a 2-dimensional coordinate plane is as follows,

$D=\sqrt{(x_1-x_2)^2*(y_1-y_2)^2}$

Substitute the endpoints of the line into the formula and solve for the distance between the points,

$D=\sqrt{(4-5)^2*(2-5)^2}$

Simplify, solve for the distance between the two points,

$D=\sqrt{(4-5)^2*(2-5)^2}$

$D=\sqrt{(-1)^2*(-3)^2}\\\\D=\sqrt{1*9}\\\\D=\sqrt{9}\\\\D=3$

7 0

2 years ago

(repost) Please help! It involves inequalities! Also please include a number line.

Likurg_2 [28]

Answer:

-5 ≤ x

Step-by-step explanation:

2(x -3) -5x ≤ 9 . . . . . given

2x -6 -5x ≤ 9 . . . . . . eliminate parentheses

-3x -6 ≤ 9 . . . . . . . . combine like terms

-6 ≤ 9 +3x . . . . . . . add 3x

-15 ≤ 3x . . . . . . . . subtract 9

-5 ≤ x . . . . . . . . . divide by 3

The point x=-5 is included in the solution set, so there is a sold dot at that point. The rest of the solution set is values of x that are greater than that value, so the number line is shaded to the right of that point. Your number line should show an arrow at the right end of the graph to indicate it extends that direction indefinitely. (My graphing program doesn't draw arrows easily.)

_____

<em>Additional comment</em>

Perhaps the most straightforward way to solve this would have been to add 6 instead of 3x. That would give ...

-3x ≤ 15

Then dividing by -3 would give x. That operation would reverse the inequality symbol (because the divisor is negative). Then you would have ...

x ≥ -5

Either way works. We judge it to be less confusing when we don't have to change the direction of the inequality symbol.

6 0

2 years ago