Answer:
C. The functions have the same y-intercept
Step-by-step explanation:
In slope intercept form, y = mx + b, b represents the y-intercept, and in the first function the y-intercept is 10.
The y-intercept is when x = 0, and in the chart, when x equals 0, y equals 10.
10 = 10, so they have the same y-intercept.
Answer:
5
Step-by-step explanation:
9x+6y=-3
9x+6(-8)=-3
9x-48=-3
9x=45
x=5
The correct question is
<span>
Penelope determined the solutions of the quadratic function by completing the square.f(x) = 4x² + 8x + 1
–1 = 4x² + 8x
–1 = 4(x² + 2x)
–1 + 1 = 4(x² + 2x + 1)
0 = 4(x + 2)²
0 = (x + 2)²
0 = x + 2
–2 = x
What error did Penelope make in her work?
we have that
</span>f(x) = 4x² + 8x + 1
to find the solutions of the quadratic function
let
f(x)=0
4x² + 8x + 1=0
Group terms that contain the same variable, and move the
constant to the opposite side of the equation
(4x² + 8x)=-1
Factor the
leading coefficient
4*(x² + 2x)=-1
Complete the square Remember to balance the equation
by adding the same constants to each side.
4*(x² + 2x+1)=-1+4 --------> ( added 4 to both sides)
Rewrite as perfect squares
4*(x+1)²=3
(x+1)²=3/4--------> (+/-)[x+1]=√3/2
(+)[x+1]=√3/2---> x1=(√3/2)-1----> x1=(√3-2)/2
(-)[x+1]=√3/2----> x2=(-2-√3)/2
therefore
the answer is
<span>
Penelope should have added 4 to both sides instead of adding 1.</span>
Answer:
35.733
Step-by-step explanation:
have a common denominator then do the math
For b) you already have two possibilities, since you have the intercepts.
<span>(20358, 0) and (0,15834) are two possible points, although not very likely. </span>
<span>Solve for y: y= (-7/9)x + 15834 </span>
<span>Any multiple of 9 will give whole number answers. </span>
<span>Let x= 9 </span>
<span>Then y= (-7/9)(9)+ 15834 </span>
<span>Y= 15827 </span>
<span>If you want more reasonable answers, let x= 9000 </span>
<span>Then y= (-7/9)(9000)+ 15834 </span>
<span>Y= 8834 </span>
