Answer:
12 Bus Tickets
Step-by-step explanation:
18 / 4.50 = 4 x 3 Bus tickets = 12 Tickets
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:
5:1
Step-by-step explanation:
So, we know that 20 fries were large, and 4 were small. So, we just set it up as 20:4 <em>(for every 20 large fries, there are 4 small ones)</em>. However, it needs to be simplified which results in 5:1.
Hope I helped!!
15,2,31,13
Answer:
Solution given:a number that is divisible only by itself and 1 (e.g. 2, 3, 5, 7, 11).
now
all prime numbers are:
15,2,31,13
<h3>What are similar shapes?</h3>
When applying a scale factor, similar shapes are enlarged versions of one another. All of the matching angles and lengths in related shapes are equal and in the same ratio.
Rectangle is also a kind of shape. So, defining similar rectangle two rectangles must have proportional sides in order for them to be identical (form equal ratios) i.e., ratio of the two longer sides should equal the ratio of the two shorter sides.
Steps to find similar rectangle in math:
- Choose the pairs of corresponding sides on each side.
- Determine the sides' ratios.
- Verify that the ratios are identical.
To know more about similar rectangles, follow link:
brainly.com/question/17905285
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