1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
never [62]
3 years ago
9

Identify the zero(s) of

x)=4x^{2} - 20x - 56" alt="f(x)=4x^{2} - 20x - 56" align="absmiddle" class="latex-formula">. -- Urgent 10 minutes! Many points!
Mathematics
1 answer:
AURORKA [14]3 years ago
5 0

Answer:

x = - 2, x = 7

Step-by-step explanation:

Given

f(x) = 4x² - 20x - 56

To find the zeros let f(x) = 0, that is

4x² - 20x - 56 = 0 ( divide through by 4 )

x² - 5x - 14 = 0 ← in standard form

(x - 7)(x + 2) = 0 ← in factored form

Equate each factor to zero and solve for x

x + 2 = 0 ⇒ x = - 2

x - 7 = 0 ⇒ x = 7

You might be interested in
Y= - x^2 + 4x + 6 in vertex form
serg [7]
<h3><u>HI </u><u>THERE!</u></h3>

<u>\rm \color{lime}(2,10)</u>

<u>step-by-step</u><u> </u><u>explanation:</u>

<u>\rm \color{lime}y =  -  {x}^{2}  + 4x + 6</u>

  • <u>identify</u><u> </u><u>the coefficients</u>
<h2 /><h2><u>\rm \color{lime}a =  - 1,b = 4</u></h2>
  • <u>substitute</u><u> the </u><u>co</u><u>efficient into the </u><u>expression</u>
  • <u>find the x</u><u>-</u><u>coordinate of the vertex by </u><u>substituting </u><u>a </u><u>=</u><u> </u><u>-</u><u> </u><u>1</u><u> </u><u>and </u><u>b=</u><u>4</u><u> </u>
  • <u>\tt \tiny \: x =  -  \frac{b}{29}</u>

<u>\rm \color{lime}x =  -  \frac{4}{2x( - 1)}</u>

  • <u>solve the </u><u>equation </u><u>for </u><u>X</u>
  • <u>find the y</u><u>-</u><u>coordinate of the vertex by evaluating the function for x = </u><u>2</u>

<u>\rm \color{lime}y =  -  {x}^{2}  + 4x + 6,x = 2</u>

  • <u>calculate</u><u> </u><u>the </u><u>function value for x = 2</u>

<u>\rm \color{lime}y = 10</u>

  • <u>since the value of the function is 10 for x = 2 the vertex of the graph of the quadratic </u><u>function</u><u> </u><u>is a </u><u>(</u><u>2</u><u>,</u><u>1</u><u>0</u><u>)</u>

<u>=  \rm \color{hotpink} (2,10)</u>

<u>hope </u><u>it</u><u> helps</u>

4 0
2 years ago
Read 2 more answers
Indicate the equation of the given line in standard form. The line with slope 9/7 and containing the midpoint of the segment who
professor190 [17]

Given parameters:

Coordinates of end points =  (2, -3) and (-6,5).​

 Slope of line  = \frac{9}{7}

Unknown:

Equation of the line with the given slope = ?

Solution:

Let us find the coordinates of the mid-point of the line given.

   Since the end points are (2, -3) and (-6,5);

   Midpoint;

            x, y = \frac{x_{1} + x_{2} }{2} , \frac{y_{1} + y_{2} }{2}  

            x, y = \frac{2 + (-6)}{2}  ,  \frac{-3 + 5}{2}   = -2 , 1

The coordinate of the mid point = -2,1

Equation of a line is;

                  y = mx + c

x and y are the coordinates

     m is the slope

     c is the y intercept

We need to find c in order to fully develop our equation;

             y = mx + c

              y = 1 , x = -2 and m = \frac{9}{7}

So,

           1 = \frac{9}{7} x (-2) + c

            c  = 1 + \frac{18}{7}   = \frac{25}{7}

Now, the equation of the line is;

              y = -2x + \frac{25}{7}  

Multiply through by 7,

            7y = -14x + 25

The equation of the line is 7y = -14x + 25

3 0
3 years ago
Which phrase describes the algebraic expression 10 + w ?
grin007 [14]

Answer:

The correct answers would be A

Step-by-step explanation:

I know this because I asked my mom and said it a question to my homework

3 0
3 years ago
if you deposit $15 a week into the savings account what is the minimum number of weeks it will take for you to be able to open a
castortr0y [4]

Answer:

15 weeks

15 times 15 is 225

$200 (checking) $25 (savings)

:)

8 0
3 years ago
What is the slope of the line through (-9,-6) and (3,-9)?
Nastasia [14]

The answer for the problem is -1/4

7 0
3 years ago
Other questions:
  • Dalila says that the data belonging to this box plot does not contain an outlier. Do you agree or disagree? Explain.
    6·2 answers
  • Skateland charges a $50 flat fee for birthday party rental and $5.50 for each person. Joann can spend at most $100 on her birthd
    7·2 answers
  • How many significant figures does the value 13.3 have?
    7·1 answer
  • What is the unit rate of $4.20 for 6 muffins
    7·1 answer
  • What are the common factors of: 15, 20?
    9·2 answers
  • What is the amplitude of y = 4 sin 3x ?
    11·1 answer
  • A classroom had 35 glue sticks. If the ratio of glue sticks to glue bottles was 5:2, how many glue bottles did the classroom hav
    8·2 answers
  • There is two questions please help me
    5·2 answers
  • Will mark as BRAINLIEST:) A wire is first bent into the shape of a rectangle with width 7 cm and length 11 cm. Then the wire is
    11·2 answers
  • Find the area occupied by the base of a cylindrical bowl if the base is 9 cm?​
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!