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zlopas [31]
2 years ago
10

Aiden has two toy cars that measure two and one fourth inches, three that measure two three eight inches, one that measures two

and seven eights inches, one that measures 2 and one eights inches, and one that measures two and three fourths inches. How long is aidens longest toy car.
Mathematics
1 answer:
Westkost [7]2 years ago
8 0

Answer:

So, the longest toy car length is 2\frac{7}{8}inches

Step-by-step explanation:

Given - Aiden has two toy cars that measure two and one fourth inches,

            three that measure two three eight inches, one that measures two

            and seven eights inches, one that measures 2 and one eights

            inches, and one that measures two and three fourths inches.

To find - How long is Aiden's longest toy car.

Proof -

Measure of 1st car - 2 inches

Measure of 2nd car - \frac{1}{4} inches = 0.25 inches

Measure of 3rd car - 2\frac{3}{8} inches = 2.375 inches

Measure of 4th car - 2\frac{7}{8}inches = 2.875 inches

Measure of 5th car - 2\frac{1}{8}inches = 2.125 inches

Measure of 6th car - 2\frac{3}{4}inches = 2.75 inches

So, the longest toy car length is 2\frac{7}{8}inches (2.875 inches )

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enelope determined the solutions of the quadratic function by completing the square. f(x) = 4x2 + 8x + 1 –1 = 4x2 + 8x –1 = 4(x2
Marat540 [252]
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
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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>
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Step-by-step explanation:

Given

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Answer:

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Step-by-step explanation:

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