All categories

8 months ago

using the given quadratic function f(x)=x^2+2x-15, find the following information"Coordinates of y- intercept as an ordered pair

1 answer:

6 0

The y-intercept is the point at which a function cuts the y-axis. It can be found by evaluating the function at x=0. The coordinates of that point will be:

$(0,f(0))$

Evaluate <em>f(0):</em>

$\begin{gathered} f(x)=x^2+2x-15 \\ \Rightarrow f(0)=(0)^2+2(0)-15 \\ =0+0-15 \\ =-15 \end{gathered}$

Since <em>f(0) = -15 </em>, then the coordinates of the y-intercept are:

$(0,-15)$

You might be interested in

Factor the trinomial step by step & explain 2x^2+ 5x + 3

Colt1911 [192]

Answer:

One way to factor equation is to find the zeros. Its obvious that x=-1 is solution for this. So one factor is (x+1)

the next factor should include 2x at first (because we have 2x^2 in the equation which can not be made any other way)

Let's suppose the factor is (x+1)(2x+b)

Since we do not know what is b open the brackets 2x^2+bx+2x+b. If this is equal to 2x^2+5x+3 then b=3. We are left with (x+1)(2x+3)=2(x+1)(x+3/2)

Would go for other shorter solutions, but they require some deeper understanding like Horner's scheme,Fermat's Theorem or even deeper which I assume You will not understand)

8 0

3 years ago

Please help me I've been stuck on this since the morning. I keep texting my friend to help me but she won't answer me she just l

yan [13]

Answer:

sounds like a relationship problem

Step-by-step explanation:

that cheating wont fix.

4 0

2 years ago

Can someone tell me what 2/3 divided by 5 is it’s for a quiz.

docker41 [41]

Answer:2/15 hope this helps

Step-by-step explanation:

7 0

3 years ago

Read 2 more answers

Which system of equations could be graphed to solve the equation below? log Subscript 0. 5 Baseline x = log Subscript 3 Baseline

Vanyuwa [196]

You can use the fact that two expressions in equality can be considered to be equal to a third variable(not used in given context).

The system of equations that could be graphed to solve the equation given is

$y = \log_{0.5}(x)\\\\$
$y = \log_3(2+x)$

<h3>How can we form a system of equations from an equation?</h3>

Suppose the equation be $a = b\\$

Let there is a symbol $c$ such that we have $a = b = c$

It is because a and b are same measure (that is exactly what a = b means)

and we gave another name c to that measure.

Thus, we have

$a = c\\b = c$

in addition to $a = b\\$

<h3>Using the above method to find the system of equations needed</h3>

Since the given equation is $log_{0.5}(x) = log_2(2+x)$

The 2d graphs are usually expressed as $y = f(x)$ on X-Y plane.

Taking the equation's expressions equal to y, we get

$log_{0.5}(x) = log_2(2+x) = y$

or, we get system of equations as

$y = log_{0.5}(x)\\\\y = log_3{(2 + x)}$

Their graph is plotted below. The intersection point of both curves is the solution to the given equation as it satisfies both the equations of the system of equations formed from the given equation.

Thus,

The system of equations that could be graphed to solve the equation given is

$y = \log_{0.5}(x)\\\\$
$y = \log_3(2+x)$

Learn more about solutions to system of equations here:

brainly.com/question/14550337

4 0

2 years ago

Calculate the measure of arc AC if the measure of arc CD is 170 degrees and arc AB is 80 and AB||CD.

CaHeK987 [17]

Answer:

AC = 55°

Step-by-step explanation:

In this geometry, arcs AC and BD have the same measure. The sum of the parts of arc CD will total the measure of CD.

AC + AB + BD = CD

2AC +80 = 170

AC = 110/2 = 55

The measure of arc AC is 55°.

5 0

2 years ago