Refer a friend and earn $50 when they subscribe to an annual planRefer Now

Get the answer to your homework problem.

Like

Report

In Exercises 59-64, use a graphing utility to graph the quadratic function. Find the -intercepts of the graph and compare them with the solutions of the corresponding quadratic equation when $ f(x) = 0 $.

$ f(x) = \frac{7}{10} (x^2 + 12x -45) $

$(3,0),(-15,0)$

Algebra

Chapter 2

Polynomial and Rational Functions

Section 1

Quadratic Functions and Models

Quadratic Functions

Complex Numbers

Polynomials

Rational Functions

Campbell University

Harvey Mudd College

Lectures

01:32

In mathematics, the absolu…

01:11

01:39

In Exercises 59-64, use a …

01:42

01:30

01:48

02:08

01:35

For Exercises $61-63,$ let…

01:20

In Exercises 57-68, use a …

01:00

01:36

01:08

So for this question, were given the f of X is it with 7/10 times x squared plus Strom X minus 45 more ass to find the ex intercepts of the equation and then to analyze it graphically, Briefly. So what we need to do here is we need to set f of X equal to zero. Because when f of X equals zero, that means why is equal to zero. And that means that, um um, those are the locations of our ex intercepts. So we have zero equals 7/10 times X squared, strove X minus 45. Um, we can divide both sides by the 7/10 to make it go away. And we're gonna have zero still, because he wrote about about 17th is still zero. So now we need to factor in this equation. We're gonna have zero is Let's see, we need to find two numbers of that multiply to give us negative 45 and they add to give us 12. So, Tim, where two numbers that set us for this. There can actually be negative 15 and positive. Three. All right, So when we're factoring, we're gonna need to do X um X plus 15 Tom's ex Mona's three. If negative 15 and three are solutions that we want the opposites of them, um, we want plus 15 and modest three within our factors to get a zero because negative 15 plus 15 0 and three modest +30 So this is our factor down equation. So we're going to get that our ex intercepts our ex intercepts her at negative 15 zero and at 30 And if you were to graft this, you were to graft this equation. This is an upward sloping, probably because there's no negative, no negative sign out in front. And we know that our zeroes are at three. Call this 0.3 and way out here in negative 15. So a reasonable approximation what this graph should look like. It's something like this, something like this. And negative 15 0 and 30 hour. Our final solutions

View More Answers From This Book

Find Another Textbook

Numerade Educator

In mathematics, the absolute value or modulus |x| of a real number x is its …

In Exercises 59-64, use a graphing utility to graph the quadratic function. …

For Exercises $61-63,$ let $$f(x)=\frac{x^{2}}{x-2}+1$ and $g(x)=\frac{4 x-2…

In Exercises 57-68, use a graphing utility to graph the equation. Use a stan…

02:06

In Exercises 21- 30, describe the right-hand and left-hand behavior of the g…

00:56

Write a polar equation of a conic with the focus at the origin and the given…

02:18

Solve the boundary-value problem, if possible.

$ y" + 4y' …

01:46

In Exercises 9 - 16, match the polynomial function with its graph. [The grap…

03:39

The total revenue $ R $ earned per day (in dollars) from a pet-sitting servi…

00:39

In Exercises 11 - 26, use long division to divide.

$ (2x^2 + 10x +…

02:37

(a) Graph $ y = ax^2 $ for $ a = -2, -1, -0.5, 0.5, 1 $ and $ 2 $. How does …

01:28

Experiments show that a steady current $ I $ in a long wire produces a magne…

01:45

In Exercises 47-56, write the standard form of the equation of the parabola …

02:24

(a) Find the eccentricity, (b) identify the conic, (c) give an equation of t…

92% of Numerade students report better grades.

Try Numerade Free for 30 Days. You can cancel at any time.

Annual

0.00/mo 0.00/mo

Billed annually at 0.00/yr after free trial

Monthly

0.00/mo

Billed monthly at 0.00/mo after free trial

Earn better grades with our study tools:

Textbooks

Video lessons matched directly to the problems in your textbooks.

Ask a Question

Can't find a question? Ask our 30,000+ educators for help.

Courses

Watch full-length courses, covering key principles and concepts.

AI Tutor

Receive weekly guidance from the world’s first A.I. Tutor, Ace.

30 day free trial, then pay 0.00/month

30 day free trial, then pay 0.00/year

You can cancel anytime

OR PAY WITH

Your subscription has started!

The number 2 is also the smallest & first prime number (since every other even number is divisible by two).

If you write pi (to the first two decimal places of 3.14) backwards, in big, block letters it actually reads "PIE".

Receive weekly guidance from the world's first A.I. Tutor, Ace.

Mount Everest weighs an estimated 357 trillion pounds

Snapshot a problem with the Numerade app, and we'll give you the video solution.

A cheetah can run up to 76 miles per hour, and can go from 0 to 60 miles per hour in less than three seconds.

Back in a jiffy? You'd better be fast! A "jiffy" is an actual length of time, equal to about 1/100th of a second.