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3 years ago

Kayla bought 55 pieces of fruit at the store. If 15% of the

Mathematics

1 answer:

Murrr4er [49]3 years ago

3 0

She bought 8 apples..................

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Solve the following equation by completing the square. 1/4x^2+x+1/4=0

fenix001 [56]

Answer:

D. X=-2+sqrt(3) or -2-sqrt(3)

$x_{1} =-2+\sqrt{3} \\x_{2} =-2-\sqrt{3}$

Step-by-step explanation:

Quadratic Equation given:

$\frac{1}{4} x^2+x+\frac{1}{4}=0$

In order to get rid of the fractions, multiply both sides by 4.

$\frac{1}{4}x^2\cdot \:4+x\cdot \:4+\frac{1}{4}\cdot \:4=0\cdot \:4$

We get:

$x^2+4x+1=0$

$x^2+4x+4-4+1=0$

Completing the square:

$(x+2)^2-4+1=0\\$

$(x+2)^2-3=0$

$(x+2)^2=3$

$x+2=\pm\sqrt{3}$

$x=-2\pm\sqrt{3}$

$x_{1} =-2+\sqrt{3} \\x_{2} =-2-\sqrt{3}$

8 0

3 years ago

A travel trailer is bought at the price of $35,000. The price decreases at the rate of .25 every year (t). The exponential expre

Debora [2.8K]

Answer:

$ 8300 (Approximately)

Step-by-step explanation:

Given:

Initial price of the trailer is, $P_0=\$35000$

Rate of decrease per year is, $r=0.25$

The time in years is, $t=5$

The exponential expression for the decrease in price after 't' years is given as:

$P=P_0(1-r)^t$

Plug in all the given values and solve for 'P'. This gives,

$P=35000(1-0.25)^5\\P=35000(0.75)^5\\P=35000(0.2373)\\P=\$8305.5\approx \$8300$

Rounding it to the nearest whole number, the price of the travel trailer after 5 years is $ 8,300.

3 0

3 years ago

Which of the following is most likely the next step in the series? Image is above

Margarita [4]

Answer:

Step-by-step explanation:

each picture has points on it first circle has 4 second circle has 3 third circle has 2 next will have 1 point

5 0

3 years ago

a storage chest has lenght of 4.5 feet and a width of 2 feet and a height of 2 feet, what are the volume and the surface area of

rosijanka [135]

Answer:

Area = 18 ft³ Surface Area = 44 ft²

Step-by-step explanation:

The formula for the area of a rectangular prism is A=lwh so you just plug in the numbers. For surface area, you have to find the area for each face and add them together.

7 0

4 years ago

I need help finding the answer

11111nata11111 [884]

Answer:

Step-by-step explanation:

8 0

3 years ago