Resources

Resources

Bytelearn - cat image with glasses

AI tutor

Welcome to Bytelearn!

Let’s check out your problem:

x(1400 x+6)+2(2x+4)
The expression shown above can be expressed as cx^(2)+kx+m, where
c,k, and m are constants. What is the value of k?
_____

$x(1400 x+6)+2(2x+4)$ $\newline$ The expression shown above can be expressed as $cx^{2}+kx+m$ , where $c$ , $k$ , and $m$ are constants. What is the value of $k$ ? $\newline$ _____

View step-by-step help

View step-by-step help

Transformations of quadratic functions

Full solution

Q.

x(1400 x+6)+2(2x+4)

\newline

The expression shown above can be expressed as

cx^{2}+kx+m

, where

c

,

k

, and

m

are constants. What is the value of

k

?

\newline

_____

Distribute $2$ across expression: Now we have $1400x^2 + 6x$ . $\newline$ Next, distribute the $2$ across $(2x + 4)$ . $\newline$ Calculation: $2 \times 2x + 2 \times 4$
Combine distributed terms: That gives us $4x + 8$ . Now, let's add the two parts together: $1400x^2 + 6x + 4x + 8$ . Calculation: $1400x^2 + (6x + 4x) + 8$
Combine like terms: Combine like terms to find the coefficient of $x$ . $\newline$ Calculation: $6x + 4x = 10x$
Final expression: So the expression becomes $1400x^2 + 10x + 8$ . The coefficient of $x$ , which is $k$ , is $10$ .

More problems from Transformations of quadratic functions

Question

Solve by completing the square.

\newline

m^2 - 10m - 29 = 0

\newline

Write your answers as integers, proper or improper fractions in simplest form, or decimals rounded to the nearest hundredth.

\newline

`m` = ____ or `m` = _____

Posted 1 month ago

Question

g(x)

g(x)

is the translation

5

f(x)=x^2

\newline

Write your answer in the form

a(x–h)^2+k

a

h

k

\newline

g(x)=

Posted 1 month ago

Question

What is the range of this quadratic function?

\newline

y = x^2 - 4x + 4

\newline

\newline

\left\{y \mid y \geq 2\right\}

\newline

\left\{y \mid y \leq 0\right\}

\newline

\left\{y \mid y \geq 0\right\}

\newline

\text{all real numbers}

Posted 1 month ago

Question

Write the equation of the parabola that passes through the points

(1,0)

(2,0)

(3,\text{–}16)

. Write your answer in the form

y = a(x – p)(x – q)

a

p

q

are integers, decimals, or simplified fractions.

\newline

Posted 1 month ago

Question

Complete the square. Fill in the number that makes the polynomial a perfect-square quadratic.

\newline

f^2 + 8f + \_\_\_\_\_

Posted 1 month ago

Question

h

\newline

h^2 + 39h = 0

\newline

\newline

Write each solution as an integer, proper fraction, or improper fraction in simplest form. If there are multiple solutions, separate them with commas.

\newline

h =

\newline

Posted 1 month ago

Question

Write a quadratic function with zeros

-9

-7

\newline

Write your answer using the variable

x

and in standard form with a leading coefficient of

1

\newline

f(x) = \_\_\_\_\_

Posted 2 months ago

Question

Find the equation of the axis of symmetry for the parabola

y = x^2

\newline

Simplify any numbers and write them as proper fractions, improper fractions, or integers.

\newline

\underline{\hspace{3cm}}

Posted 2 months ago

Question

g(x)

g(x)

is the translation

8

f(x) = x^2

\newline

Write your answer in the form

a(x – h)^2 + k

a

h

k

\newline

g(x) =

\newline

Posted 2 months ago

Question

x

\newline

x^2 = 1

\newline

\newline

Write your answer in simplified, rationalized form.

\newline

x =

x =

\newline

Posted 2 months ago