Given the function f(x) = 2/3 * x - 5 , evaluate f(9)

Answer:

b. (10, -1), (-6, -9), (2, 7)

Step-by-step explanation:

One way to solve this problem is by graphing (see attachment). In fact, that actually is the easiest way to do this.

First, graph x + y < 9 (red part on the attachment). To do this, isolate the y so that it's like a regular linear equation: y < -x + 9. Graph the line y = -x + 9 first, and then choose a point either on the left or right of the line to plug in for x and y.

Let's just choose (0, 0), which is on the left of the line: 0 < -0 + 9  ⇒  0 < 9. Since this is a true statement, we know that we should shade the left side of the equation, and not the right side.

Now, graph x - 2y < 12 (blue part on the attachment). It's the same process here as the first inequality. For this one, we find that we also shade to the "left" of the line (it's more "up" than "left", but you get the idea).

Finally, graph y < 2x + 3 (green part on the attachment). Again, it's the same process. For this, we shade to the right.

Now look at the three points that they intersect at: they are (2, 7), (-6, -9), and (10, -1). The answer is thus B.

Step-by-step explanation:

Step 1:  Graph each of the inequalities

x + y < 9

x - 2y < 12

y < 2x + 3

It comes out that the vertices are (2, 7), (10, -1), and (-6, -9)

Answer:  Option B

Answer:

A=1520.53units 2

Step-by-step explanation:

formula is A=4πr2

484 π square units t is the surface area of a sphere with a radius of 11 units

a three dimensional shape can be defined as a solid figure or an object or shape that has three dimensions—length, width, and height.

We have to find the surface area of a sphere with a radius of 11 units

The formula for finding surface area of sphere is 4πr²

where r is the radius of sphere

r=11 units

Surface area =4π.11²

=4×121π

=484 π square units

Hence, 484 π square units t is the surface area of a sphere with a radius of 11 units

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Answer:

They are supplementary angles and have a turn of 180 degrees

Step-by-step explanation:

I did this before

Answer:

They are supplementary angles and have a turn of 180 degrees

Step-by-step explanation:

Answer: B-Sphere

Step-by-step explanation: A ball also has another term known as a SPHERE.

Answer:

x+5 is replaced

Step-by-step explanation:

6(x + 5)^2 + 5(x + 5) – 4 = 0

Replace x+5 with m

6(m)^2 + 5(m) – 4 = 0

Now this is a quadratic equation

The required substitution is (x + 5) to rewrite 6(x + 5)² + 5(x + 5) - 4 = 0 as a quadratic equation. The correct answer is A. (x+5).

The quadratic equation is defined as a function containing the highest power of a variable is two.

The quadratic equation is given as follows:

6(x + 5)² + 5(x + 5) - 4 = 0

Let u = x + 5. Then, we can rewrite the equation 6(x + 5)² + 5(x + 5) - 4 = 0 as:

6u² + 5u - 4 = 0

This is now a quadratic equation in u, which can be solved using the quadratic formula or factoring.

Once we find the solutions for u, we can substitute back u = x + 5 to get the solutions for x.

Therefore, the correct answer is A. (x+5).

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Answer:

990

Step-by-step explanation:

The maximum monthly rent payment that should be made is $1990.

A value or ratio that may be stated as a fraction of 100 is referred to as a percentage in mathematics. If we need to compute a percentage of a number, we should divide it by its whole and then multiply it by 100. The proportion, therefore, refers to a component per hundred. Per 100 is what the term percent signifies. The letter "%" stands for it.

Given, Agnes heard that as a general rule, she should spend no more than 30% of her take-home pay on rent.

Since her salary is $39,600

Thus,

She should not pay rent of more than = 39,600 * 30%

She should not pay rent of more than = 11,880

He maximum rent per month= 11,880/12 = 990

Therefore, the maximum amount per month that she should spend on rent is $990.

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Answer:

Center: (-9, -7)

Radius: 5

Step-by-step explanation:

Answer:

V = 159 3/8 cm^3

Step-by-step explanation:

V = l*w*h

V = 8 1/2 * 5 * 3 3/4

Change to an improper fraction

V = 17/2 * 5 * 15/4

V =1275/8

Changing back to a mixed number

8 goes into 1275 159 times with 3 left over

V = 159 3/8 cm^3

Answer:

Q (B)

Step-by-step explanation:

got it on edge

Answer:

line b

Step-by-step explanation:

Answer:

i would have a pool which is 1550cm×650cm×725cm.

Step-by-step explanation:

bigger pools=more fun

Answer:

i would rather have a pool that is 1550cm*650*725

Step-by-step explanation:

i chose this one because it has a bigger shape and its deeper

Answer:

slope : 3/2 Y-intercept : 3  ------------> (0,3) (2,6) are the points

Step-by-step explanation:

X | Y

0 | 3

2 | 6

Answer:

No Mr.Linton will not take 7 days to finish the book

Explanation

Since the book has 900 pages, you will have to divide 900 by 100 which equals 9. 9 is the number of days it will take for Mr.Linton to read the book. Therefore he is wrong.

hope this is helpful

Answer:

5x

Step-by-step explanation:

Answer:

y = 4x+5

Step-by-step explanation:

the coefficient of x makes the line steeper when it is increased and the number after the x (5) is the y intercept.

Answer:

[tex]m\angle 4 = 117\textdegree[/tex]

Step-by-step explanation:

-Both [tex]\angle 1[/tex]and [tex]\angle 4[/tex] are supplementary, which they both equal to [tex]180\textdegree[/tex]. So, to get the measurement of [tex]\angle 4[/tex], you need to subtract measure of [tex]\angle 1[/tex], from [tex]180\textdegree[/tex] :

-Both [tex]\angle 1[/tex] and [tex]\angle 4[/tex] are supplementary:

[tex]\angle 1 + \angle 4 = 180\textdegree[/tex]

-Find the [tex]m \angle 4[/tex] by subtracting the [tex]m \angle 1[/tex] from [tex]180[/tex] :

[tex]180\textdegree - 63\textdegree = 117\textdegree[/tex]

So, the [tex]m\angle 4[/tex] is [tex]117\textdegree[/tex] .

Answer:

A

Step-by-step explanation:

Answer:

I am assuming you are asking which is the cheaper option per ounce since you did not specify a question.

Option 1: 3.59$ for a 20 oz bag

3.59/20=.1795 $/oz

Option 2: 2.59 per 1 pound

1 pound = 16 oz

2.59/16= .161875 $/ozo

Since .16 dollars is less than .18 dollars, the second option, where 1 pound costs $2.59, is cheaper.

Answer:

4673 mm²

Step-by-step explanation:

Data

iPhone's screen is a rectangle. The area of rectangle is calculated as base*height. Replacing with data we get:

Area of rectangle = area of the iPhone's screen = 51.7 mm * 90.39 mm =  4673.163 mm² ≈ 4673 mm²

Here is the graph as requested.

Answer:

I think it is the seconds option

Step-by-step explanation:

the second box i think

can someone plz answer my question :(

Answer:

When they ask for the rows, that means we need to divide everything by the column totals, not the row totals. (See how there's a total row and a total column? We use the total column.) This seems counterintuitive: just think of it as horizontal.

Let's try the "get to work before 9 am" row.

8/11 = .73

3/11 = .27

11/11 = 1.00

It works! Choice A is correct.

Let's now try the "get to work after 9 am" row.

5/9 = .56

4/9 = .44

9/9 = 1.00

It works too! So if you're allowed to put two answers, choices A and B would both be correct.

Answer:

I think it's A for the first one and B in the second.

Step-by-step explanation:

I'm not sure.

Answer: B

Step-by-step explanation:

Since B is closer to 3

Question:

1)  AB = 15 cm, BC = 20 cm, angle B = 40°

2) AB = 20 cm, AC = 15 cm, angle c = 40°

3) BC = 10 cm, AB = 5 cm, angle A = 20°

4) 5 cm, BC = 10 cm, AB = 14 cm

Answer:

1) No: SAS

2) Yes: SSA

3) Yes: SSA

4) No: SSS

Step-by-step explanation:

To answer the question, we note that a well defined triangle or unique provides information for;

a. SSS All three sides

b. Side Angle Side, SAS Two sides and the included angle(the angle between the two sides), such that there is only one way to draw the triangle

c. Angle Side Angle, ASA and

d. Angle Angle Side, AAS

We analyse each option as follows

1) AB = 15 cm, BC = 20 cm, angle B = 40°

No:

The provided information includes two sides and the angle between the two sides, therefore there is only one way to draw the triangle

2) AB = 20 cm, AC = 15 cm, angle c = 40°

Yes

Here the provided information are SSA hence there are more than one way to draw the triangle

3) BC = 10 cm, AB = 5 cm, angle A = 20°

Yes

Here the provided information are Angle Side Side hence there are more than one way to draw the triangle

4) 5 cm, BC = 10 cm, AB = 14 cm

No

Here the provided information is SSS hence, there is only one way to draw the triangle

Answer:

plan 1

Step-by-step explanation:

plan 1: 5 + 6 + 7 + 8 = 26min    8 days: 68

plan 2: 1 + 2 + 3 + 4 = 10min      8 days: 36

Answer:

The answer would be plan two since it would double each day, making it a lot larger than Plan 1.

Step-by-step explanation:

So first, to understand this, 0 is today, and then I did this based on 4 days and 8 days after what is represented as "today."

Plan 1:

[tex]y=5+1x[/tex]

Day 4:

[tex]y=5+1(4)\\y=5+4\\y=9[/tex]

Day 8:

[tex]y=5+1(8)\\y=5+8\\y=13[/tex]

Plan 2:

[tex]y=2^{x}[/tex]

Day 4:

[tex]y=2^{4} \\y=2*2*2*2\\y=4*2*2\\y=8*2\\y=16[/tex]

Day 8:

[tex]y=2^{8} \\y=2*2*2*2*2*2*2*2\\y=4*2*2*2*2*2*2\\y=8*2*2*2*2*2\\y=16*2*2*2*2\\y=32*2*2*2\\y=64*2*2\\y=128*2\\y=256[/tex]

Answer:

c

Step-by-step explanation:

I got it right

The right answer is x^2-1.

EXPLANATION:

To be a polynomial, the power of each term must be a whole number.

Hope it will be helpful to you...

Good luck on your assignment

~pragya

Answer:

A

Step-by-step explanation:

You are looking for the highest real interest rate, which is the nominal rate minus the inflation rate. With that being said, the lowest interest rate is 2.5%, which wouldn't make her anything. However, the 4% interest rate yields 1.5% real interest, making it the best option.

The best investment option is the option (A), where the interest rate is 4% which is higher than other options.

The amount a lender charges a borrower, expressed as a percentage of the principle, is known as the interest rate.

Given that, the current inflation rate is 2.5%.

Therefore, to make a profitable investment, the interest rate should be more than the inflation rate.

The higher interest rate will give a higher profit.

Therefore, the best investment option is an option (A), where the interest rate is 4% which is higher than other options.

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Answer:

576.67

Step-by-step explanation:

A=a2+2aa2

4+h2=122+2·12·122

4+172≈576.66615

Answer:

576.67

Step-by-step explanation:

Answer:4

Step-by-step explanation: