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Alex777 [14]
3 years ago
10

Nellie is analyzing a quadratic function f(x) and a linear function g(x). Will they intersect?

Mathematics
1 answer:
dolphi86 [110]3 years ago
5 0
For the answer to the question above, I think i've seen this question before.
If we substitute 13 to f(x) and get a value for x, then the two equations will intersect. So,
f(x) = x^2 + 6x +10
13 = x^2 + 6x+ 10
x^2 + 6x - 3 = 0

Solving the quadratic equations:
The roots of the equation is
x = 0.4641 and
x = -6.4541

Therefore, the line will intersect with the quadratic function.
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(3,10) and (6,13)Put in slope-intercept form
spayn [35]

ANSWER

y = x + 7

EXPLANATION

We want to use the two points to form a linear equation in slope-intercept form.

That is in the form:

y = mx + c

To do this, we first find the slope by using formula:

m\text{ = }\frac{y_2-y_1}{x_2-x_1}

where (x1, y1) = (3, 10)

(x2, y2) = (6, 13)

So, we have that:

\begin{gathered} m\text{ = }\frac{13\text{ - 10}}{6\text{ - 3}} \\ m\text{ = }\frac{3}{3} \\ m\text{ = 1} \end{gathered}

The slope, m, is 1.

Now, we use the point-slope formula to find the equation. That is:

\begin{gathered} y-y_1=m(x-x_1) \\ \Rightarrow\text{ y - 10 = 1(x - 3)} \\ y\text{ - 10 = x - 3} \\ =>\text{ y = x - 3 + 10} \\ y\text{ = x + 7} \end{gathered}

That is the answer.

4 0
1 year ago
Help!!!!!!!!!!!!!!!!!!!!
yaroslaw [1]
<h2>Answer:</h2><h2>x=3 </h2><h2>p=3csc (β)sec(θ)</h2><h2>hope this helps! ;)</h2>
6 0
2 years ago
What is the x intercept Y=-6x+8
forsale [732]
\large\begin{array}{l} \textsf{You can easily find x intercept of a line by solving}\\\textsf{the equation below:}\\\\ \mathsf{y=0}\\\\ \mathsf{-6x+8=0}\\\\ \mathsf{-6x=-8}\\\\ \mathsf{x=\dfrac{-8}{-6}}\\\\ \boxed{\begin{array}{c}\mathsf{x=\dfrac{4}{3}} \end{array}} \end{array}

4 0
3 years ago
Read 2 more answers
(2x - y + 3) (2x - y - 3)using identities ​
Tems11 [23]

Step-by-step explanation:

(2x-y+3)(2x-y-3)=

4x²-2xy-6x-2xy+y²+3y+6x-3y-9=

4x²-4xy+y²-9=

(2x-y)²-9

6 0
3 years ago
Marcus wants to use a model to determine the difference
grigory [225]

Electron transfer theory describes the parameters which control the rate at which an electron is transferred from one atom or molecule to another.

<h3>What was the basic principle of Marcus theory?</h3>
  • In theoretical chemistry, Marcus theory is a theory originally developed by Rudolph A. Marcus, starting in 1956, to explain the rates of electron transfer reactions – the rate at which an electron can move or jump from one chemical species.
  • Marcus' method (also referred to as Marcus's method and Method of Marcus) is a structural analysis method which was designed to design concrete slabs with rectangular, orthogonal shapes. It represents an adaptation of the strip method.
  • Marcus Hush theory (M-H theory) was developed in 1956 by Rudolph A. Marcus which explains the fundamentals of the redox/ electron transfer reactions in terms of the rate of jumping/moving an electron from oxidant species (electron donor) to the reductant (electron acceptor).
  • The "Marcus Inverted Region" (MIR) is that part of the function of rate constant versus free energy where a chemical reaction becomes slower as it becomes more exothermic.

We want to see how we can model the difference: -8 - 3 + 3

The correct option is D:

"add 3 positive counters and 3 negative counters"

We know that Marcus starts with 8 negative counters, corresponding to the first term in our difference.

Now, let's study the math of our expression.

-8 - 3 + 3

Remember that we can perform the operation in any order we want, so we can write this as:

-8 + (-3 + 3)

Notice that the thing inside the parentheses is equal to zero, so we have:

- 8 + (-3 + 3) = -8

So to not change the value, we add 3 and we subtract 3.

Now if we have 8 negative counters, and we want to add 3 positive counters and not change the value, then we also need to add 3 negative counters to "cancel" the 3 positive counters we added.

Then the correct option is D.

To learn more about Marcus refer to,

brainly.com/question/23140234

#SPJ1

8 0
1 year ago
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