(2x + 3)^2 - 4(2x + 3) = 0

Answer:

Step-by-step explanation:

If Yoko made 231 dollars in 11 hours, it means that she makes

231/11=21 dollars per hour

in 8 hours

8*21=168 dollars in 8 hours

Answer:

168

Step-by-step explanation:

We need to find how much money she makes in one hour. Then multiply that by 8.

231 ÷ 11 = 21

21 × 8 = 168

In accordance with functional theory, definition of functions and kinds of functions, the function is not injective but surjective. (Correct choice: C)

In accordance with functional theory, functions are relations in which each element of the domain is related to only one element of the range. There are three kinds of functions: (i) Injective - Each domain element is related to one distinct element of the range, (ii) Surjective - There are at least two domain elements that are related to an element of the range, (iii) Bijective - The function is both injective and surjective.

Based on all these information, we conclude that the given function has at least two values of the x-axis (domain) related to one value of the y-axis (range). In a nutshell, the function is not injective but surjective. (Correct choice: C)

To learn more on injective functions: https://brainly.com/question/1548798

#SPJ1

Answer:

length= 90feet

width =72 feet

Step-by-step explanation:

perimeter=2(L+W)

324=2(L+W)

324/2=L+W

162=L+W( at a ratio of 10:8)

length=10/18 * 162=90

width=8/18*162=72

2(90+72)=324

Answer:

x <2

Step-by-step explanation:

9(2 + 3x) < 72

Divide each side by 9

9/9 *(2 + 3x) < 72/9

2+3x < 8

Subtract 2 from each side

2+3x-2 < 8-2

3x<6

Divide each side by 3

3x/3 <6/3

x <2

Answer:

The slope is [tex] - \frac{2}{9} [/tex].

Step-by-step explanation:

☆Remember:

[tex]m = \frac{y_2 - y_1}{x_2 - x_1} [/tex]

-

☆All we need to do is plug in!

[tex]m = \frac{3 - 1}{ - 2 - 7} = \frac{2}{ - 9} = - \frac{2}{9} [/tex]

Answer:

1/200

Step-by-step explanation:

the answer is that 0.005 is 1/200

Answer:

1/200

Step-by-step explanation:

If you calculate it out into a regular fraction, it will equal 5/1000.

Divide 5 and 1000 by 5 and you get 1/200.

Answer:

[tex] n = \frac {p - 4m}{m} [/tex]

Step-by-step explanation:

Given the algebraic expression;

[tex] m = \frac {p}{n + 4} [/tex]

To make n the subject of formula.

Cross-multiplying, we have;

[tex] m*(n+4) = p [/tex]

[tex] mn + 4m = p[/tex]

Rearranging the equation, we have;

[tex] mn = p - 4m [/tex]

[tex] n = \frac {p - 4m}{m} [/tex]

Answer:

[tex]m = \frac{p}{(n + 4)} \\ (n + 4)m = p \\ nm + 4m = p \\ nm = p - 4m \\ n = \frac{p - 4m}{m} \\ n =( \frac{p}{m} - 4)[/tex]

Answer: I think it should stay as is

Step-by-step explanation:

It is already simplified

Answer:

28 sq in

Step-by-step explanation:

Area =LxW

3.5x8=28

Answer:

Number of ducks = 37

Number of pigs = 18

Step-by-step explanation:

Let,

x be the number of ducks

y be the number of pigs

According to given statement;

x+y=55     Eqn 1

2x+4y=146     Eqn 2 (As ducks will have 2 legs and pigs will have 4)

Multiplying Eqn 1 by 2

2(x+y=55)

2x+2y=110    Eqn 3

Subtracting Eqn 3 from Eqn 2

(2x+4y)-(2x+2y)=146-110

2x+4y-2x-2y=36

2y=36

Dividing both sides by 2

[tex]\frac{2y}{2}=\frac{36}{2}\\y=18[/tex]

Putting y=18 in Eqn 1

x+18=55

x = 55-18

x = 37

Hence,

Number of ducks = 37

Number of pigs = 18

Answer:

60.900

Step-by-step explanation:

All of the zero's are optional, i feel safer putting them.

Answer:

It is in the hundreds place

Step-by-step explanation:

If you could give brainliest it would be much appreciated.

Answer:

Step-by-step explanation:

Hundreds

Answer: out of 1400 students 672 of them are males.

Step-by-step explanation:

Step 1 turn the percent into a decimal

0.52*1400= 728

728 is the number of female students

Step 2 subtract 728 from 1400

1400-728=672

Hope this helps ;)

Answer:

3 11/12

Step-by-step explanation:

Answer:

Different ways to answer

Step-by-step explanation:

mixed number: 3 11/12

decimal: 3.916 repeating

imporper fraction: 47/12

PLEASE MARK ME BRAINLIEST

Answer:

There were 96 guests at the wedding.

Step-by-step explanation:

Let,

x be the total number of guests at the wedding.

People who chose pasta = 1/3 of the guests = [tex]\frac{1}{3}x[/tex]

People who chose chicken = [tex]\frac{5}{12}x[/tex]

People who chose beef = 24

Now,

[tex]\frac{1}{3}x+\frac{5}{12}x+24=x\\\\\frac{4x+5x+288}{12}=x\\9x+288 = 12x\\288=12x-9x\\288=3x\\3x=288[/tex]

Dividing both sides by 3

[tex]\frac{3x}{3}=\frac{288}{3}\\x=96[/tex]

Hence,

There were 96 guests at the wedding.

Answer:

149

Step-by-step explanation:

Answer:

7.6ft

Step-by-step explanation:

Answer:

7.6

Step-by-step explanation:

3.8 + 3.8 = 7.6

The radius of a circle is half of the diameter

The radius is half of the circle length and the diameter is the whole length

remember that :)

Answer:

B

Hope it helps uwu

Answer:

3

Step-by-step explanation:

36 ÷ 3 = 12

42 ÷ 3 = 14

45 ÷ 3 = 15

Answer:

1. 10x + 5y ≥ 100

2. y ≤ 10

Answer:4,891 are undergraduate students .

Step-by-step explanation:

Total  Number of students = 6700

Percentage  of Undergraduate students = 73%

Number of  Undergraduatre students = Percentage  of Undergraduate students x Total Number of students

= 73% x 6700

73/100 x6700

=4,891 are undergraduate students .

Answer:

man have a good day

Step-by-step explanation:

hope your days going good

Answer:

I am pretty sure that u and t are gonna stay where they are and v is gonna be (-5,9)

Step-by-step explanation:

flyaj210 sent me

Exactly, Thank you again for these quotes!

-p.s you are loved <3

EDIT: THANKS FOR THE POINTS >:3

Answer:

Step-by-step explanation:

I believe u have to factorise

(a+3)(a+5)

Answer:

19 cars

13 buses

Step-by-step explanation:

We have a system of equations as follows

X + y = 32 -----1

3x + 27y = 408 ----2

x = car

y = bus

From equation 1

x + y = 32

x = 32 - y ---- 3

We put equation 3 into equation 2

3(32-y) + 27y = 408

96y -3y + 27y = 408

96 + 24y = 408

24y = 408 - 96

24y = 312

Divide through by 24 to get the value of y

Y = 312/24

Y = 13

We put the value of y in equation 3

x = 32 - 13

x = 19

So 19 cars would be needed for the trip and also 13 buses would also be needed

Answer:

34 degrees

Step-by-step explanation:

34 degrees

the angle is 90 degrees

90-56=34

======================================================

Explanation:

Refer to the diagram below. I've added the variable y as the base angles to the isosceles triangle on the left.

Recall that the angles opposite the congruent sides are the base angles. The base angles of any isosceles triangle are the same measure.

Let's solve for y

y+y+56 = 180 .... all angles in a triangle add to 180

2y+56 = 180

2y = 180-56

2y = 124

y = 124/2

y = 62

I've also added the variable z, which is adjacent to one of the y angles.

Since y and z combine to form a straight angle, this means the two angles add to 180

y+z = 180

z = 180-y

z = 180-62

z = 118

Now focus on the isosceles triangle on the right. It has angles x, x, and z = 118.

x+x+z = 180

x+x+118 = 180

2x+118 = 180

2x = 180-118

2x = 62

x = 62/2

x = 31

Answer:

12 more games

Step-by-step explanation:

15 + 12 = 27

27 is 90% of 30 , so they need to win 12 more games but 27 overall out of the 30

30 = 100%

27 = x

x = 27×100%/30

x = 2700%/30

x = 90%