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liberstina [14]

4 years ago

7

A sign says that the price mark on all equipment is 30% off the original price. you buy electric guitar for the sale price for 3

15 what is the original price

1 answer:

Genrish500 [490]4 years ago

4 0

X - (30/100 * x) = 315
X = 450

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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

8 0

2 years ago

Kim drew the diagram below to find x, the length of the pole holding up the stop sign that is at an angle with the ground as sho

Nadya [2.5K]

Answer:

the length of the pole is 9.90 feet.

Step-by-step explanation:

7 0

3 years ago

A countertop is 16 feet long and 3 feet wide. what is the area of the countertop in square meters

Paladinen [302]

The area of the countertop is (16-ft x 3-ft) = 48 feet² .

1 foot = 0.3048 meter (rounded)

(1 foot)² = (0.3048 meter)² = 0.0929 meter²

48 feet² = (48 x 0.0929) = 4.459 meter² (rounded)

8 0

3 years ago

what is area of the triangle in a coordinate plane. a 9.0. b 14.0 c16.5. d 24.5

Tresset [83]

Answer:

<h2>c. 16.5</h2>

Step-by-step explanation:

It's the right triangle.

The formula of an area of a right triangle:

$A=\dfrac{(leg)(leg)}{2}$

Look at the picture.

We have

$leg=3,\ leg=11$

Substitute:

$A=\dfrac{(3)(11)}{2}=\dfrac{33}{2}=16.5$

4 0

3 years ago

Solve each inequality. <br> 8x-6 > 10

myrzilka [38]

Answer:

The answer to this inequality would be x>2

3 0

3 years ago