Sarch enjoys cutting lawns and charges $20 for each small lawn and $30 for each large

Mathematics

2 answers:

mina [271]2 years ago

7 0

Answer:

small yards: 5 = 110$

large yards: 1 = 30$

she mowed 5 small and 1 large yard

Step-by-step explanation:

Alexxandr [17]2 years ago

5 0

She mowed 5 small yards!

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a fruit bowl contains 3 red apples, 2 greens apples, 2 oranges, 1 lime, and 1 lemon. Suppose you reach into the fruit bowl and s

OleMash [197]

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The Perimeter of a rectangle is 36. If there's 5n + 3 and 1/4n + 2, what's the value of n?

seropon [69]

Perimeter: 36

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2 years ago

Penelope determined the solutions of the quadratic function by completing the square. F(x) = 4x2 8x 1 –1 = 4x2 8x –1 = 4(x2 2x)

Ymorist [56]

By solving the quadratic equation using completing the square method we got that Penelope should have added 4 to both sides instead of adding 1.

<h3>What is quadratic equation ?</h3>

Any equation of the form $ax^2+bx+c=0$ where x is variable and a, b, and c are any real numbers where a ≠ 0 is called quadratic equation .

Given work of Penelope is

$\begin{aligned}&f(x)=4 x^{2}+8 x+1 \\&-1=4 x^{2}+8 x \\&-1=4\left(x^{2}+2 x\right) \\&-1+1=4\left(x^{2}+2 x+1\right) \\&0=4(x+2)^{2} \\&0=(x+2)^{2} \\&0=x+2 \\&-2=x\end{aligned}$

Now we can see that Penelope determined the solutions of the quadratic function by completing the square. so he must have been done as following

$\begin{aligned}&f(x)=4 x^{2}+8 x+1 \\&-1=4 x^{2}+8 x \\&-1=4\left(x^{2}+2 x\right) \\&-1+4=4\left(x^{2}+2 x+1\right) \\&3=4(x+2)^{2} \\&\frac{3}{4} =x+2)^{2} \\&\frac{\pm\sqrt3}{2} =x+2 \\&\frac{-2\pm\sqrt3}{2} =x\end{aligned}$

By solving the quadratic equation using completing the square method we got that Penelope should have added 4 to both sides instead of adding 1.

To learn more about quadratic equations visit : brainly.com/question/1214333

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$\huge \bf༆ Answer ༄$