The function below represents the monthly charges for a cell phone, where is the number of

Which of the following functions has a graph that is a line? f(x) = |x| f(x) = x f(x) = x 2

sattari [20]

Answer:

f(x) = x

Step-by-step explanation:

f(x) = |x| will give you V graph

f(x) = x will give you line graph (linear)

f(x) = x² will give you a curve graph

7 0

3 years ago

A farmer had twice as many chickens as ducks on his farm. After he sold 166 chickens and ducks, he had half as many chickens as

mamaluj [8]

Answer:

The farmer have at first 202 chickens.

Step-by-step explanation:

Given:

A farmer had twice as many chickens as ducks on his farm. After he sold 166 chickens and ducks, he had half as many chickens as ducks left.

Now, to find the chickens farmer have at first.

Let the chickens be $x.$

And, the ducks be $y.$

As, the farmer had twice as many chickens as ducks on his farm.

So, $x=2y$ ......(1)

As, given the farmer after selling 166 chickens and ducks, he had half as many chickens as ducks left.

According to question:

$x-166=(y-29)\times \frac{1}{2}$

$x-166=\frac{y-29}{2}$

Substituting the value of $x$ from equation (1) we get:

$2y-166=\frac{y-29}{2}$

By cross multiplying we get:

$4y-332=y-29$

Adding both sides 332 we get:

$4y=y+303$

Subtracting both sides by $y$ we get:

$3y=303$

Dividing both sides by 3 we get:

$y=101.$

Now, to get the number of chickens substituting the value of $y$ in equation (1):

$x=2y\\\\x=2\times 101\\\\x=202.$

Therefore, the farmer have at first 202 chickens.

7 0

3 years ago

A surveyor, Toby, measures the distance between two landmarks and the point where he stands. He also measured the angles between

vagabundo [1.1K]

What we know so far:
Side 1 = 55m
Side 2 = 65m
Angle 1 = 40°
Angle 2 = 30°

What we are looking for:
Toby's Angle = ?
The distance x = ?

We need to look for Toby's angle so that we can solve for the distance x by assuming that the whole figure is a SAS (Side Angle Side) triangle.

Solving for Toby's Angle:
We know for a fact that the sum of all the angles of a triangle is 180°; therefore,
180° - (Side 1 + Side 2) = Toby's Angle
Toby's Angle = 180° - (40° + 30°)
Toby's Angle = 110°

Since we already have Toby's angle, we can now solve for the distance x by using the law of cosines r² = p²+ q²− 2pq cos R where r is x, p is Side1, q is Side2, and R is Toby's Angle.

x² = Side1² + Side2² - 2[(Side1)(Side2)] cos(Toby's Angle)
x² = 55² + 65² - 2[(55)(65)] cos(110°)
x² = 3025 + 4225 -7150[cos(110°)]
x² = 7250 - 2445.44
x = √4804.56
x = 69.31m

∴The distance, x, between two landmarks is 69.31m

8 0

3 years ago

Gina made a scale drawing of a house and its lot. She used the scale 1 inch: 4 feet. If the house's

denpristay [2]

Answer:

The driveway is 36 feet

Step-by-step explanation:

1 in = 4 feet

2 in = 8 feet

This shows us that you have to multiply 4 by how many inches there is.

3 0

3 years ago

Simplify 12 to the 3rd over 12 to the 7th.

svetlana [45]

Answer

1,728 and 35,831,808

Step-by-step explanation:

5 0

2 years ago