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3 years ago

Question 3 (Multiple Choice Worth 6 points)

Mathematics

1 answer:

Alik [6]3 years ago

4 0

Answer:

negative 9 plus or minus the square root of 17 divided by 8

Step-by-step explanation:

move all terms to one side

4x^2 + 9x + 4= 0

Use the quadratic formula

and you get negative 9 plus or minus the square root of 17 divided by 8

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Find the solution to the system of equations using substitution.<br> 3x = 8<br> 3x + y = 15

Tju [1.3M]

Step-by-step explanation:

Step 1: Substitute 8 in the equation.

Step 2: Minus 8 from 15.

7 0

3 years ago

A street light is 7.5 feet tall casts a 3-foot-long shadow A nearby flagpole casts a 16.5 foot long shadow what is the height of

zepelin [54]

Answer:

h = 41.25 foot

Step-by-step explanation:

Given that,

Height of a street light = 7.5 feet

It casts a 3-foot-long shadow.

A nearby flagpole casts a 16.5 foot long shadow. We need to find the height of the flag pole. Let the height be h. It can be calculated as :

$\dfrac{\text{height of street light}}{\text{height of shadow of street light}}=\dfrac{\text{height of flagpole}}{\text{height of shadow of the flag pole}}\\\\\dfrac{7.5}{3}=\dfrac{h}{16.5}\\\\h=\dfrac{7.5\times 16.5}{3}\\\\h=41.25\ foot$

So, the height of the flag pole is equal to 41.25 foot.

8 0

3 years ago

Choice A: 3 nights and one meal for $ 250

Simora [160]

Let x be the price for each night and y be the price for each meal. Then, express the statements into mathematical equations:

Choice A: 3x + y = 250
Choice B: 3x + 6y = 330

Subtract both equations, the difference would be -5y = -80

-5y = -80
y = -80/-5
y = $16 per meal

3x + y = 250
3x + 16 = 250
3x = 250 - 16
3x = 234
x = 234/3
x = $78 per night

The answer is D.

8 0

3 years ago

Can someone please help

atroni [7]

Answer:

Step-by-step explanation:

$\frac{5}{24}+\frac{2}{3-x}=\frac{1}{4}\\\\\frac{5}{24}-\frac{1}{4}=\frac{-2}{3-x}\\\\\frac{5}{24}-\frac{1*6}{4*6}=\frac{-2}{3-x}\\\\\frac{5-6}{24}}=\frac{-2}{3-x}\\\\\frac{-1}{24}}=\frac{-2}{3-x}\\\\\\(-1)*(3-x)=(-2)*24\\\\-1*3-(-1)*x = -48\\\\-3 + x = -48\\\\x = -48 + 3\\\\x = -45$

x = -45

4 0

3 years ago

In the pendulum formula , we use g = 9.8 m/s2 for the acceleration due to gravity on Earth. But what about on the Moon? If an as

Alex Ar [27]

Answer:

The acceleration due to gravity on the moon is 1.642 m/s².

Step-by-step explanation:

Given : In the pendulum formula , we use g = 9.8 m/s2 for the acceleration due to gravity on Earth. If an astronaut on the surface of the moon swings a 1-meter long pendulum, and it has a period of 4.9 seconds.

To find : What is the acceleration due to gravity, g, on the moon?

Solution :

The pendulum formula is $T=2\pi \sqrt{\frac{L}{g}}$