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Finger [1]
3 years ago
11

Write a positive or negative integer an increase of $15

Mathematics
1 answer:
slamgirl [31]3 years ago
4 0

Answer:

  +15

Step-by-step explanation:

An increase is generally regarded as being positive. If units are dollars, an increase of $15 can be represented by the integer +15.

__

<em>Additional comment</em>

If units are dimes, then the number would be +150. So, you see, <em>the units are important </em>to know.

It also depends on <em>what is increasing</em> and what is being represented by the integer. If it is an increase in debt, then the change in net worth might be -15.

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Pls help asap MIDSEGMENTS
Kay [80]

Answer:

56 degrees

Step-by-step explanation:

The midsegment is parallel to a side and the other side is a transversal. Using the Corresponding Angles Theorem, you get that m<1=56 degrees

4 0
2 years ago
Find the value of the letter in each of the following. Give your answers to 1 d.p.
Damm [24]

Answer:

a) z = 70.5°

b) s = 83.6°

c) x = 0.7cm

Step-by-step explanation:

We would solve for the above questions using Trigonometric functions of either Sine, Cosine or Tangent.

a) We are given the following values

Hypotenuse = 21 inches

The triangle is divided into two to give us a right angle triangle

The adjacent side = 14inches/2 = 7 inches

We are to find Angle z

The Trigonometric function we are using is Cosine

cos z = Adjacent / Hypotenuse

cos z = 7/21

cos z = 1/3

z = arc cos(1/3)

z = 70.528779366°

To 1 decimal place

z = 70.5°

b) We are given the following values

Hypotenuse = 12 cm

The triangle is divided into two to give us a right angle triangle

The opposite side = 16cm/2 = 8 cm

We are to find Angle s, but it is split into 2

So we represent the half as x

The Trigonometric function we are using is Sine

sin x = Opposite/ Hypotenuse

sin x = 8/12

sin x = 2/3

x = arc sin(2/3)

x = 41.810314896°

Remember in the question, we are to find s.

s = x° × 2

s = 41.810314896 × 2

s = 83.620629792

To 1 decimal place

s = 83.6°

c) From the above diagram, we are to find the Opposite side represented by x

Our triangle is split into two equal halves

Adjacent side = 2cm

Angle θ = 36°/2 = 18°

We are using Trigonometric function tan to solve for question c

tan θ = Opposite/ Adjacent

tan 18° = Opposite/ 2

Cross Multiply = tan 18° × 2

0.3249196962 × 2

= 0.726542528cm

To one decimal place,

x = 0.7cm

3 0
3 years ago
Suppose that a consumer purchases just two goods, X and Y. The Y-intercept of the budget line in this case would indicate the
KiRa [710]

Answer:

Y-intercept of the budget line would indicate the maximum quantity of good Y that the consumer can buy with the given income.

Step-by-step explanation:

Budget line is a graphical representation of the possible combinations of two goods X and Y which can be purchased with given income.

Its given that a consumer purchases just two goods, X and Y.

We need to tell that what does the Y-intercept of the budget line would indicate:

Solution:

Y-intercept of the budget line would indicate the maximum quantity of good Y that the consumer can buy with the given income.

7 0
3 years ago
Use the graph of f(x) to find the indicated function values.
Julli [10]

Answer:

  • If x=0 , then f(0)=2
  • If f(x)=0 , then x = -1

Step-by-step explanation:

First lets assume that the y axis is called the<em> ordinate axis </em>and the x axis is the <em>abscissa axis</em>

Then:

  • The first question asks for the y value in the <em>ordinate axi</em>s that corresponds to the x = 0 value. To begin:

You must start to locate the x=0 value on the abscissa axis, its located in the center of the axis.

Then you start for searching the y value that the curve takes when it passes through the ordinate axis, this correspond to the value of the function f(x) on x=0. The value according to the graph is y=2.

Then , you located the point (0,f(0))=(0,2).

  • The second question asks for the x value in the abscissa axis that corresponds to the f(x)=y=0 value. To begin this, you start the other way around:

You must locate the y=0 value on the ordinate axis, its also located in the center of the axis.

Then you start for searching the x value that the function needs to take the y=0 value. According to the graph the value of x that the function needs is x = -1

Then, you located the point where f(x)=y=0, its (-1,0).

An example is attached to the answer

3 0
2 years ago
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Answer:

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