A town of 8660 people is expected to grow by 5% next year. What is the (total) expected population of the town next year?

Answer:

m=3

Step-by-step explanation:

add the m on the right side, 4m+3=15

subract the 3 on the left side, 4m=12

divide by four to isolate m, m=3

Answer:

[tex]3m+3=15-m[/tex]

[tex]3m+3=-m+15[/tex]

[tex]3m+m=15-3[/tex]

[tex]4m=12[/tex]

[tex]Divide\ both\ sides \ by\ 4[/tex]

[tex]\frac{4m}{4} =\frac{12}{4}[/tex]

[tex]\boxed{\boxed{\underline{\textsf{\textbf{m=3}}}}}[/tex]

Answer:

1 has 1 solution

2 has one solution

3 has no solutions The lines are parallel

Answer:

Because X (10) repeats

Step-by-step explanation:

A function has no repeated X but here in your x variable 10 is there twice so therefore it is NOT a function

You can use the pencil test also in a graph, align your pencil vertically and see if there are multiple points that have the same X and if there isn't any repeated its a function.

Answer:

The function is a relation between two sets that associates to each element of the first set exactly one element of the second set.

We have x = 10 twice with different f(x) associated, 5 and 20.

If we plot those points they will be on same vertical line, thus the vertical line test is failed.

Answer:

slope = 1/2

y intercept = 2

slope intercept form = y = 1/2x + 2

Step-by-step explanation:

Answer:

Slope: 2

y-intercept: 2

Slope intercept form: y=2x+2

Step-by-step explanation:

Hope this helps!

Answer:

correct answers that make g > true

g = 21.1

g = 34.4

g = 25.5

In short words , the 1st , 4th and 5th option make , g > 21 true .

Answer:

$5.20

Step-by-step explanation:

A dozen is 12, so multiply by two.

2.60 * 2 = $5.20

Answer:

5.20 for 12

Step-by-step explanation:

2.60 for 6

2.60*2=12

5.20 for 12

10-3=N

N=7

Step-by-step explanation:

hope you like it

Answer:

27 feet

Step-by-step explanation:

they go 27 feet because 15+6+6=27

Answer:

Step-by-step explanation: The parallel sides of a trapezium are called the bases and the distance between them is the height. Therefore if 6cm and 15cm are the bases and 9cm is the height, then the area is A= ½(b1+b2)×h, where b1 is 6cm and b2 is 15cm and h is 9cm. Therefore the Area= ½(6+15)×9=94,5cm.

Answer:

shush its hard like my

Step-by-step explanation:

Step-by-step explanation:

the picnic table height is 0.5 because it's the constant

and the maximum height is 28

my answer is in the image above

Answer:

x = 0.6

Step-by-step explanation:

2(x+4)+8x = 14

2x+8+8x = 14

10x+8 = 14

10x = 6

(divide by 10)

x= 0.6

Answer:

$45

Step-by-step explanation:

If it looses it value of 14 % every year, by the end of 5 years, the value would go down by 70%.  So, 150x0.7= 105, 150-105=45, so it would be. worth. 45% in 5 years.

Answer:

false

Step-by-step explanation:

because x - (-3)

= x+3

and x + - 3

= x - 3

so they are not the same

hope this helps

Answer:

False

Step-by-step explanation:

If u minus you go the opposite direction

And you have negative 3

So you do the opposite direction of -3 which is +3

So x+3

Answer:

y=-3x+15

is the equation that passes through the point (5,0) and is the parallel line to y=-3x+2

Step-by-step explanation:

find the slope of the original line and use the point-slope formula y-y₁=m(x-x₁) to find the parallel line of y=-3x+2, which if done correctly you should end up with y=-3x+15.

hope this helps

Answer:

16 m

Step-by-step explanation:

The situation can be solved by proportion of corresponding sides in 2 right triangles.

let x be the length of shadow cast by oak tree, then

[tex]\frac{9}{12}[/tex] = [tex]\frac{12}{x}[/tex] ( cross- multiply )

9x = 144 ( divide both sides by 9 )

x = 16

Length of shadow is 16 m

Answer:

Equal

Equal

Equal

Supplementary

Step-by-step explanation:

Just learn the angles tbh, you will need them in the future

Answer:

Step-by-step explanation:

the first one is a negative correlation

Answer:

x = 7

Step-by-step explanation:

2x + 34 = 4x + 20

2x = 14

x = 7

Answer:

(11*4)-7=37

Step-by-step explanation:

Answer:

(11 × 4) - 7

37

Step-by-step explanation:

7 less than 11 × 4

(11 × 4) - 7

44 - 7

37

Answer:

173.2 cm²

Step-by-step explanation:

Use the equilateral triangle area formula, A = [tex]\frac{\sqrt{3}}{4}[/tex]a²

Plug in the side length and solve:

A = [tex]\frac{\sqrt{3}}{4}[/tex]a²

A = [tex]\frac{\sqrt{3}}{4}[/tex](20)²

A = [tex]\frac{\sqrt{3}}{4}[/tex](400)

A = 173.2

So, the area of the triangle is approximately 173.2 cm²

Answer:

(12,7) is not a solution

Step-by-step explanation:

Given

[tex]y\ge x+5\hspace{50px}y\ge\frac{2}{3}x + 6[/tex]

Required

Point that is not a solution

We have:

[tex]y\ge x+5\hspace{50px}y\ge\frac{2}{3}x + 6[/tex]

Substitute [tex]\frac{2}{3}x + 6[/tex] for y in the first inequality

[tex]\frac{2}{3}x + 6 \ge x + 5[/tex]

Collect like terms

[tex]\frac{2}{3}x - x \ge 5-6[/tex]

[tex]-\frac{1}{3}x \ge -1[/tex]

Solve for x (the inequality will change because we are to divide by a  negative number_

[tex]x \le -1/-\frac{1}{3}[/tex]

[tex]x \le 3[/tex]

Without solving further, we can conclude that the first option is not a solution.

Because (12,7) implies that [tex]x =12[/tex]

Compare [tex]x =12[/tex] to [tex]x \le 3[/tex], then [tex]x \le 3[/tex] is false

Answer:

if u have more doubts feel free to ask :)

Step-by-step explanation:

x² + 10x -24  

x² + 12x - 2x - 24          

x(x + 12) -2(x + 12)

(x + 12) (x - 2)

Factors of 24 : ±1 , ±2 , ±3 , ±4 , ±6 , ±8 , ±12,  ±24. Combination of +12 and -2 gives "10" the middle term also " 24"

Answer:

D) [tex]\frac{-6\pm\sqrt{8} }{2}[/tex]

Step-by-step explanation:

[tex]x^2+6x+7=0[/tex]

[tex]x=\frac{-b\pm\sqrt{b^2-4ac} }{2a}[/tex]

[tex]x=\frac{-6\pm\sqrt{6^2-4(1)(7)} }{2(1)}[/tex]

[tex]x=\frac{-6\pm\sqrt{36-28} }{2}[/tex]

[tex]x=\frac{-6\pm\sqrt{8} }{2}[/tex] <-- correct option but not simplified fully

[tex]x=\frac{-6\pm2\sqrt{2}}{2}[/tex]

[tex]x=-3\pm\sqrt{2}[/tex]

[tex]\longrightarrow{\green{3p-3q}}[/tex] 

[tex]\large\mathfrak{{\pmb{\underline{\red{Step-by-step\:explanation}}{\red{:}}}}}[/tex]

[tex](p - q)(3)[/tex]

Using distributive property which states that [tex]a(b - c) =( a \times b) - (a \times c)[/tex], we have

[tex] = (3 \times p) - (3 \times q)[/tex]

[tex] = 3p - 3q[/tex]

[tex]\pink{\large\qquad \qquad \underline{ \pmb{{ \mathbb{ \maltese \: \: Mystique35}}}}}[/tex]

Answer:

3p - 3q

Step-by-step explanation:

( p - q ) ( 3 )

use distribute property which means multiply each terms in the parantheses by 3.

3 × p - 3 × q

3p - 3q

Answer:

3, 0, -5, -6

Step-by-step explanation:

7)

when x= -8, f(x) = 8-5 or 3

when x= -5 f(x) = 5-5 or 0

when x= 0, f(x) = 0-5 or -5

when x=1, f(x) = -1-5 or -6

Answer:

P = 75*

Step-by-step explanation: