somebody help me out asap

Given:

A quadratic monomial with a leading coefficient of 6.

A linear binomial with a leading coefficient of 2.

To find:

The mathematical terms for the given statements.

Solution:

Monomial: The expression with single term.

Binomial: The expression with two terms.

Quadratic: Highest power of the variable is 2.

Linear: Highest power of the variable is 1.

Coefficient: In the product of a number and a variable, the number is known as the coefficient of that variable.

The first statement is "A quadratic monomial with a leading coefficient of 6".

Quadratic monomial means single term with degree 2. The leading coefficient of 6. So, the term is [tex]6x^2[/tex].

The second statement is "A linear binomial with a leading coefficient of 2".

Linear binomial means [tex]ax+b[/tex], where a and b are real values. The leading coefficient is 2. So, [tex]a=2[/tex].

Let [tex]b=1[/tex], then the required linear binomial is [tex]2x+1[/tex].

Therefore, a quadratic monomial with a leading coefficient of 6 is [tex]6x^2[/tex].

A linear binomial with a leading coefficient of 2 is [tex]2x+1[/tex].

Answer:

x =10

Step-by-step explanation:

3x + 10 = 6x -20

3x - 6x + 10 = -20

-3x + 10 = -20

-3x = -20 -10

-3x = -30

x = -30/-3

x = 10

Check:

3(10) + 10 = 6(10) - 20

30 + 10 = 60 - 20

40 = 40

Given:

Point P is Nine-elevenths of the distance from M to N.

To find:

The ratio in which point P partition the directed line segment from M to N.

Solution:

It is given that, point P is Nine-elevenths of the distance from M to N. So,

[tex]\dfrac{MP}{MN}=\dfrac{9}{11}[/tex]

It can be written as

[tex]\dfrac{MP}{MN}=\dfrac{9}{11}[/tex]

Let the lengths of MP and MN are 9x and 11x respectively. Then,

[tex]PN=MN-MP[/tex]

[tex]PN=11x-9x[/tex]

[tex]PN=2x[/tex]

Now,

[tex]\dfrac{MP}{PN}=\dfrac{9x}{2x}[/tex]

[tex]\dfrac{MP}{PN}=\dfrac{9}{2}[/tex]

[tex]\dfrac{MP}{PN}=9:2[/tex]

It means, point P divides the line segment MN in 9:2.

Therefore, the correct option is A.

Answer:

A . on E  D  G  E

Step-by-step explanation:

trust

Answer:

2703

explanation:

12×189=2268

2268+435=2703

Darrel earned 1503 dollars that week.

Suppose we are given how many no. are there from 224 to 358.

To find do the following (358 - 224 + 1) = 135 numbers.

According to the question Darrel receives a weekly salary of 435 dollars. In addition, 12 dollars is paid for every item sold in excess of 100 items.

Here excess of 100 items means after 100 which is 101.

He sold 189 items so his addition earning is for (189 - 101 + 1) = 89 items.

Given for each item he is paid 12 dollars.

∴ For 89 items he is paid (89 × 12) dollars which is

= 1068 dollars.

So in that week Darrel earns total of (435 + 1068) dollars.

= 1503 dollars.

Learn more about these types of problems here :

https://brainly.com/question/16093003

#SPJ2

Answer:

8n < 72

n < 9

Step-by-step explanation:

Note that

> means greater than

< means less than

≥ means greater than or equal to  

≤ less than or equal to  

for example : 2 < 3 means 2 is less than 3

3 >2 means 3 is greater than 2

8 times n = 8n

8n is less than 72, this can be represented by the equation : 8n < 72

to determine the value of n, divide both sides of the equation by 8

n < 9  

Answer:

3

Step-by-step explanation:

5(2x + 1) = 35

10x + 5 = 35

10x = 30

x = 3

Answer:

D

Step-by-step explanation:

All parts of the circle have a star, meaning that Andrea has a 4/4 or 1 probability of landing on a part that has a star.

Answer:

The x-intercept = -3/2

Step-by-step explanation:

Set y = 0 to find the x-intercepts;

=> y = 4x + 6

=> 0 = 4x + 6

=> 0 - 6 = 4x

=> -6 = 4x

=> -6/4 = x

=> -3/2 = x

Therefore the x-intercept = -3/2

Hope this helps!

Answer:

3/10

Step-by-step explanation:

There are 52 cards in a deck. This means that there are four of each one. If all types of all three cards are removed, there are still 40 cards. There are 12 face cards. 12/40 is 3/10

Answer:

3/13

Step-by-step explanation:

Total cards in a deck=52

There are four cards of each number which in this case is 2,3,4

Total of 2s,3s,and 4s=12

12/52 simplify this and u get

3/13

Hope this helps u

Given:

Total amount spend on movie = $75

Each friend bought a ticket and a small popcorn that cost $8.25.

To find:

The price of each ticket.

Solution:

Let x be the price of each ticket.

Total cost of ticket and popcorn of each friend [tex]=x+8.25[/tex]

Total cost of ticket and popcorn of three friend [tex]=3(x+8.25)[/tex]

It is given that, the total amount spend on movie is $75. So,

[tex]3(x+8.25)=75[/tex]

[tex]x+8.25=\dfrac{75}{3}[/tex]

[tex]x+8.25=25[/tex]

Subtract 8.25 from both sides.

[tex]x=25-8.25[/tex]

[tex]x=16.75[/tex]

Therefore, the cost of each movie ticket is $16.75.

Answer:

20 degrees

Step-by-step explanation:

The sum of inner angles of a triangle is 180 degrees

120 + 40 + x = 180

160 + x = 180

x = 20

Answer:

A + 120 + 40 = 180 (interior angles of a triangle equal to 180°)

A = 180-120-40

A = 20°

Answer:

5x^2 - 3x -5

Step-by-step explanation:

You simplify the like terms

Remember to use distributive property to do the (7x-3x^2+5) part

Answer:

0.2

Step-by-step explanation:

Easy divide 1/5 as a decimal and you should get a decimal form number 0.2

1÷5=0.2

Hope this helps

Answer:

12[tex]\sqrt{3}[/tex] / 24

Step-by-step explanation:

ΔXZW is a 30-60-90 triangle whose sides are in the ratio of 1 : [tex]\sqrt{3}[/tex] : 2, respectively

also, ΔXZW ≅ ΔYZW

so XW = 12

XZ = 24

WZ = 12[tex]\sqrt{3}[/tex]

cos ratio of ∡XZW is WZ/XZ which is:

12[tex]\sqrt{3}[/tex] / 24

Answer:

The answer is "Option b"

Step-by-step explanation:

Please find the complete question in the attached file.

In 2006:

Top coats= 297

Parkas= 210

Jackets =213

Raincoats=137

Trench coats =103

Total: [tex]297+210+213+137+103=960[/tex]  

In 2007:

Top coats =223

Parkas = 210

Jackets= 285

Raincoats = 259,

Trench coats =127

Total: [tex]223+210+285+259+127=1,104[/tex]

Calculating the percentage of the increasing total sales:

[tex]\to \frac{1,104-960}{960}\times 100=15\%[/tex]

Calculating the percentage of the increasing sales of the trench coats:  [tex]\to \frac{127-103}{103}\times 100 \approx 23.3\%[/tex]

Because [tex]23.3\%- 15\%=8.3\%[/tex] sales of the Trench coats increase by 8.3% point is faster than the total coat sales.

Answer:

B

Step-by-step explanation:

Answer:

[tex](6 - i)(6 + i) \\ = (36 + 6i - 6i - {i}^{2} ) \\ = 36 - {i}^{2} \\ = 36 - ( - 1) \\ = 36 + 1 \\ = 37[/tex]

answer:

N(t)=2×[tex]1.7^{t}[/tex]

17

15

step by step explain:

before lesson (t=0), she knows 2 words.

after a week (t=1), she knows

2×(1+70%)=3.4 words

after one more week (t=2), she knows

3.4×(1+70%)=5.78 words

one more week later (t=3), she knows

5.78×(1+70%)=9.826 words

and so on ...

from pattern shown above, we know that she knows

2×[tex]1.7^{t}[/tex] words after t weeks

so N(t)=2×[tex]1.7^{t}[/tex]

after 4 weeks (t=4), she knows 2×[tex]1.7^{4}[/tex]=16.7042≈17 words

for learning 5000 words, she need:

2×[tex]1.7^{t}[/tex]=5000

   [tex]1.7^{t}[/tex]=2500

t log(1.7)=log(2500)

         t=[tex]\frac{log(2500)}{log(1.7)}[/tex]

          =14.7448727

          ≈15 (round up)

Answer:

(a) N(t) = 2(1.7)^t

(b) 17

(c) 15

Step-by-step explanation:

(a) N(t) = 2(1.7)^t

There is a 2 because she starts with 2 words. The 1.7 is since her vocabulary grows by 70%. Finally, t represents the weeks. (it is an exponent)

(b) Just plug in the equation

N(4) = 2(1.7)^4

N(4) = 2(8.3521)

N(4) = 16.7042

Round, so it is 17

(c) Once again, plug in the equation

5000 = 2(1.7)^t

2500 = (1.7)^t

use a calculator for the part below

log1.7(2500) = log1.7(1.7)*t

t = log1.7(2500)

t = 14.7448

Round, so it is 15

Answer:

Mass of piece of marble  = 0.27 kilogram

Step-by-step explanation:

Given:

Dimensions of cuboid = 1 x 0.2 x 0.5

Density of marble = 2.7

Find:

Mass of piece of marble

Computation:

Volume of cuboid = (l)(b)(h)

Volume of marble = 1 x 0.2 x 0.5

Volume of marble = 0.1

Mass = Density x Volume

Mass of piece of marble  = Density of marble x Volume of marble

Mass of piece of marble  = 2.7 x 0.1

Mass of piece of marble  = 0.27 kilogram

Answer:

[tex]{ \tt{ = \frac{7 {p}^{2} \times 3p}{14 {p}^{4} } }} \\ = { \tt{ \frac{21 {p}^{3} }{14 {p}^{4} } }} \\ = { \tt{1.5 {p}^{ - 1} }}[/tex]

Answer:

6

Step-by-step explanation:

Just got it right.

Answer:

6 units

Step-by-step explanation:

E(-2 , -1) = (x1 , y1)

F(-2 , -5) = (x2 , y2)

distance = [tex]\sqrt{(x2 - x1)^2 + (y2 - y1)^2}[/tex]

=[tex]\sqrt{(-2 - (-2))^2 + (-5 - (-1))^2}[/tex]

=[tex]\sqrt{(-2 + 2)^2 + (-5 + 1)^2[/tex]

=[tex]\sqrt{0^2 + 6^2}[/tex]

=[tex]\sqrt{36}[/tex]

= 6 units

Answer:

slope(m)=6

Step-by-step explanation:

(2 , -1)=(x1 , y1)

(3 , 5)=(x2 , y2)

use formula : y2 - y1/x2 - x1

=5-(-1)/3-2

=5+1/1

=6/1

=6

therefore slope of a line is 6.

Answer:

Find the volume of this prism.

Answer: C

Brainliest Me

Answer:

c = 12

Step-by-step explanation:

If c is one side you would need to multiply that side times 4 because that's the way you find the perimeter. In this case, you need to divide 48 by 4 so that you get the centimeters for each side. The answer is 12

Brainliest pls

Answer:21,908 is 22,000 to the nearest thousand. the digits after the 1 of 21 is 9. So we round up

Answer:

x=2.5 cups are needed  for 2 pies

Step-by-step explanation:

4/5 or 0.8

Fraction form: 4/5x = 2   x= 5/4

Decimial form: 0.8x = 2   x = 2.5

Mixed number form: 2 1/2

Hope that helped :)

Answer:

A

Step-by-step explanation:

The central angle is equal to the arc that subtends it , then

arc AB = 30°

arc ACB = 360° - 30° = 330° → A

Answer:

x=58 degree

Step-by-step explanation:

angle AGF +32 =90 degree (being perpendicular)

angle AGF =90-32

angle AGF =58 degree

angle x =angle AGF (being vertically opposite angles)

x=58 degree

Answer: It is asking for the answer to angle x, which is 68 degrees