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3 years ago

Two functions are graphed on the coordinate plane. Which represents where f(x) = g(x)?

1 answer:

3 0

I think a word is missing here: '<span>Which { ? } represents where f(x) = g(x)?

If the graph of f(x) intersects the graph of g(x), the coordinates of the point of intersection constitute the "solution" of f(x) = g(x).

If you were to share functions f(x) and g(x), you'd likely be able to determine the point of intersection, either algebraically or graphically.</span>

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A pole that is 3.1 m tall casts a shadow that is 1.57 m long. At the same time, a nearby tower casts a shadow that id 50.5 m lon

hammer [34]

Step-by-step explanation:

an object and its shadow create a right-angled triangle.

2 objects and their shadows at the same time create therefore two similar right-angled triangular

triangles.

that means the angles are the same, and each side length of one triangle correlates to the corresponding side length of the other triangle by the same factor.

so, when we know the factor of one pair of sides, we can calculate the lengths of the others by using the same factor.

therefore,

1.57 × f = 50.5

f = 50.5 / 1.57 = 32.1656051...

the height of the tower is then

3.1 × f = 3.1 × 32.1656051... = 99.7133758... m ≈ 100 m

5 0

2 years ago

A baker knows that the daily demand for strawberry pies is a random variable that follows the normal distribution with a mean of

Elan Coil [88]

The demand that has an 8% probability of being exceeded is 38.1230 .

<h3>What is probability?</h3>

Probability is the aspect of mathematics that focus on the occurrence of a random event.

This is calculated below:

The normal random variable having the mean is been given as :

(Mu = 31.8)

The standard deviation is been given as ( sd = 4.5)

Then in making our calculation, we will need to make use of the formular below:

$\\Z= (X - Mu) / sd = (X - 31.8) / 4.5$

But we know that going with the probability of 0.08

where k = 1.4051

P (Z > 1.4051)

k = 1.4051

we can have the expression for k as $[(X - 31.8) / 4.5]$

This can be simplified as:

X = 4.5 (1.4051) + 31.8 = 38.1230.

Therefore, the demand that has an 8% probability of being exceeded is 38.1230 .

Learn more about normal distribution on:

brainly.com/question/4079902

#SPJ1

5 0

2 years ago

Two mechanics worked on the car the first mechanic work for five hours in a sec mechanic work for 15 hours together the tires a

FrozenT [24]

Answer:

Mechanic 1: $55 per hour

Mechanic 2: $105 per hour

Step-by-step explanation:

Given

Represent the rate of the first mechanic with x and the second with y.

So, we have:

$x + y = 160$

The total earnings is: $1850, so we have:

$5x + 15y = 1850$

Required

Determine the rate of each

The equations are:

$x + y = 160$ --- (1)

$5x + 15y = 1850$ --- (2)

Divide (2) through by 5

$x + 3y = 370$ --- (3)

Subtract (1) from (3)

$x - x + 3y - y = 370 - 160$

$2y = 210$

Divide through by 2

$y = \frac{210}{2}$

$y = 105$

Substitute 105 for y in (1)

$x + y = 160$

Make x the subject

$x = 160 - y$

Substitute 105 for y

$x = 160 - 105$

$x = 55$

Hence:

Mechanic 1: $55 per hour

Mechanic 2: $105 per hour

7 0

3 years ago

Answer ASAP

LiRa [457]

Answer:

x = 15°

Step-by-step explanation:

Complementary angles are two angles whose sum = 90°

∠A + ∠B = 90°

3x + 45 = 90

3x = 45

x = 45/3

x = 15°

8 0

2 years ago

2)If a $100 deposit is made at a bank that pays 12% per year, compounded annually, determine how long it will take for the inves

Shkiper50 [21]

Answer:

B 20 Hours

Step-by-step explanation:

8 0

3 years ago