if f(x) = 2x +1 and g(x) = 5x-6 then what are f(-1) and g(3)

Answer:

The number is -341

Step-by-step explanation:

Let the three digit number be represented as 100a+10b+c

Given

2a -b = 2 ---(1)

a = 3c ----(2)

100a+10b+c - 100c -10b -a = 594

99a -99c = 594 ---(3)

From 2 & 3 , we get -

99*a - (99*3*a) = 594

99*2 a = 594

a = -3

a = 3c, c = -1

2*-3 -b = 2, b = -4

Number is -341

The area of the base is 1/2 x s x s = 1/2 x 12 x 12 = 72 square cm

Volume = area of base x height/3

Volume = 72 x 14/3 = 336 cm^3

Answer:

18 inches

Step-by-step explanation:

Hello!

[tex]\large\boxed{x = 3}[/tex]

2x + 1 = 5x - 8

Solve by subtracting both sides by 2x:

2x - 2x + 1 = 5x - 2x - 8

1 = 3x - 8

Add 8 to both sides:

1 + 8 = 3x - 8 + 8

9 = 3x

Divide both sides by 3:

9/3 = 3x/3

x = 3

Answer:

x = 3

Step-by-step explanation:

1. Write the equation

2x + 1 + 5x - 8

2. Add 8 on both sides

2x + 9 = 5x

3. Get the variables together

9 = 3x

4. Solve for x and divide both sides by 3

x = 3

fAnswer:

1608 acres

Step-by-step explanation:

total acres planted in 12 years = acres planted per year x number of years

134 x 12 = 1608

Answer:

5/6

Step-by-step explanation:

1 2/3 x 1/2 = 5/6

Answer:

1680 ways

Step-by-step explanation:

From the question,

nPr = n!/(n-r)!.................. Equation 1

Where, n = Total number of books to chose from, r = number of books to be arranged in the shelf.

Given: n = 8 books,  r = 4 books.

Substitute into equation 1

8P4 = 8!/(8-4)!

8P4 = 8!/4!

8P4 = (8×7×6×5×4!)/4!

8P4 = 1680 ways.

Hence the number of ways 4 books can be arranged in a shelf if there are 8 books to chose from is 1680 ways

Answer:

200

Step-by-step explanation:

2*5=10

4*5=20

20*10=200

Answer:

Student C wrote the correct inequality

the inequality will be less than or equal to since we want to spend (exactly) 300 or less. We only buy one jacket for 60 dollars so it will be added seperately to the total number of jackets. We are buying multiple jackets and each jacket costs $40. P = # of pants. So the inequality will look like

60 + 40P (less than or equal to symbol) 300

Hope I'm not too late :)

Answer:

The median value is better because it is not affected by the skewness of the data

Step-by-step explanation:

The median is  better in representing the data of a stem and leaf plot because the median value is not affected so much by outliers and skewness of the data. for example:  for a downward skewed stem and leaf plot the value of the median is greater than the mean value

Hence the median value is a better representation of the central tendency

Answer:1  0.05806644 2 64.3818067 m2 3 10.8696557 m2 4  80.2682266 m2 0.13935456 m2 and 15.7935168 m2

Step-by-step explanation:

Answer:

18x + 24

Step-by-step explanation:

6(3x + 4)

combine like terms

18x + 24

Answer:

The rate of change of the distance between the airplanes is approximately 316.760 kilometers.

Step-by-step explanation:

The distance between both airplanes (r), in kilometers, can be determined by the Pythagorean Theorem, that is:

[tex]r^{2} = x^{2}+y^{2}[/tex] (1)

Where:

[tex]x[/tex] - Distance of the westbound airplane from airport, in kilometers.

[tex]y[/tex] - Distance of the southbound airplane from airport, in kilometers.

By Differential Calculus, we derive an expression for the rate of change of the distance between the airplanes ([tex]\dot r[/tex]), in kilometers per hour:

[tex]2\cdot r\cdot \dot r = 2\cdot x \cdot \dot x + 2\cdot y \cdot \dot y[/tex]

[tex]\dot r = \frac{x\cdot \dot x + y\cdot \dot y}{\sqrt{x^{2}+y^{2}}}[/tex] (2)

Where:

[tex]\dot x[/tex] - Rate of change of the distance of the westbound airplane, in kilometers per hour.

[tex]\dot y[/tex] - Rate of change of the distance of the southbound airplane, in kilometers per hour.

If we know that [tex]x = 17\,km[/tex], [tex]y = 28\,km[/tex], [tex]\dot x = -164\,\frac{km}{h}[/tex] and [tex]\dot y = -271\,\frac{km}{h}[/tex], then the rate of change of the distance between the airplanes is:

[tex]\dot r = \frac{x\cdot \dot x + y\cdot \dot y}{\sqrt{x^{2}+y^{2}}}[/tex]

[tex]\dot r \approx -316.760\,km[/tex]

The rate of change of the distance between the airplanes is approximately 316.760 kilometers.

Answer:

k = 12

Step-by-step explanation:

-5/6k = -10

Multiply both sides by 6k

-5/6k x 6k= -10 x6k

simplify

-5 = -60k

Switch sides

-60k = -5

Divide both sides by -60

-60k/-60 = -5/-60

Simplify to get your answer of

1/12 or 12

If you have any questions revolving around this topic,feel free to ask me :)

Answer:

8

Step-by-step explanation:

you would add 1+3+4

Answer: The answer is 12

Step-by-step explanation: 4 x 3 x 1 just multiply all the number together

Answer:

Sasha's grandma will need 48 square feet of fabric to sew the umbrella.

Step-by-step explanation:

Since Sasha's grandma is going to sew an umbrella for Sasha, which will be made of 4 identical triangles, if each triangle is 3 feet long and 4 feet high, to determine how many square feet of fabric does Sasha's grandma need, the following calculation must be done:

(3 x 4) x 4 = X

12 x 4 = X

48 = X

Therefore, Sasha's grandma will need 48 square feet of fabric to sew the umbrella.

Answer:

83, 245

Step-by-step explanation:

Using the rule multiply by 3, then subtract 4

a₄ = 3 × a₃ - 4 = 3 × 29 - 4 = 87 - 4 = 83

a₅ = 3 × a₄ - 4 = 3 × 83 - 4 = 249 - 4 = 245

The next 2 terms are 83, 245

Answer: pentagonal pyramid

Step-by-step explanation:

It’s a pentagon

Answer:

the answer is A the pentagonal pyramid

Step-by-step explanation:

Answer:

the answer is 144

Step-by-step explanation:

we find area so we multiple all numbers

Answer:

28m

Step-by-step explanation:

split the shape in two to find the shapes you know the area of.

rectangles

8×2 = 16

6×2 = 12

A = 28m

Option (C) is the correct option.

"In geometry, a quadrilateral is a four-sided polygon, having four edges (sides) and four corners (vertices). If the sides are represented by arrows, then the side is parallel to each other. A quadrilateral with sides of different lengths, may not have the sides parallel to each other".

For the given situation,

From the definition, a quadrilateral with sides of different lengths has no parallel sides.

Hence, option (C) is the correct option.

Learn more about quadrilaterals here

https://brainly.com/question/26843538

#SPJ2

Given:

In triangle [tex]EFG, m\angle E = 5x, m\angle F=6x[/tex] and extirior angle G  is 110 degrees.

To find:

The measure of angle FEG.

Solution:

Exterior angle theorem, the sum of two interior angles of a triangle is equal to the opposite extirior angle.

Using extrior angle theorem in triangle EFG, we get

[tex]m\angle E+m\angle F=\text{Measure of extirior angle }G[/tex]

[tex]5x+6x=110^\circ[/tex]

[tex]11x=110^\circ[/tex]

[tex]x=\dfrac{110^\circ}{11}[/tex]

[tex]x=10^\circ[/tex]

Now,

[tex]m\angle FEG=5x[/tex]

[tex]m\angle EFG=5(10^\circ)[/tex]

[tex]m\angle EFG=50^\circ[/tex]

Therefore, the measure of angle FEG is 50 degrees. So, option C is correct.

Answer:

500N

Step-by-step explanation:

Given data

Mass m= 50kg

Acceleration a= 10m/s^2

We know that the expression for the force is

F=ma

Substitute

F= 50*10

F= 500N

Hence the applied force is 500N

Answer:

five-number summary

Step-by-step explanation:

Answer:

The answer is 33 years.

Step-by-step explanation:

10% of 3 is .3

Just move the decimal to the left.

.3 times 33=9.9

9.9~10

Answer:

I believe, its D.

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

Answer:

Step-by-step explanation:

Option C) 25-oz jar has the lowest unit rate

Unit rate is the ratio of two different units, with the denominator as 1. For example, kilometer/hour, meter/sec, miles/hour, salary/month, etc

Given here the cost of a 12 oz jar is $3

so the unit rate of a 12 oz jar is = 12/3

                                                 = 4

similarly, the unit rates of all the jars from the given table are

 18 oz jar = 18/4.40

                = $4.09

25 oz-jar = 25/6.75

               = $3.703

32 oz jar = 32/8.25

               = $3.87

Hence the jar with the lowest unit rate is the 25 oz jar

Learn more about the unit rate here:

https://brainly.com/question/29781084

#SPJ2

Answer:

B

Step-by-step explanation:

First Character: 21 consonant

2nd 3rd and 4th: 10* 9* 8 = 720

Last Character: 26

Total Ways 21 * 720 * 26 = 393120

Answer:

About 33% of students prefer chocolate icecream

Step-by-step explanation:

The actual percentage would be 35%, but none of the other answers are close enough to correct, so I'd have to say the bottom one.

hope this helps you :/