17) The growth of a certain bacteria colony is modeled by the function y = 100(1.20)*. Which statements are
correct?
A)
B)
100 is the initial number of bacteria.
x is the growth factor.
This is an exponential function.
1.20 is the number of time intervals.
D)
E)
y equals the final number of bacteria.
C)

Simplify:

6x + 6 = 3x - 15

Now use all solutions

6(7) + 6 = 3(7) - 15

42 + 6 = 21 - 15

Nearly, you can tell it doesn't work.

6(-7) + 6 = 3(-7) - 15

-42 + 6 = -21 - 15

-36 = -36

So, -7 is x.

Answer:

[tex] \pmb{3(2x + 2) = 3x - 15}[/tex]

[tex] \: \: \: \rightarrow \: {6x + 6 = 3x - 15}[/tex]

[tex] \: \: \: \rightarrow \: {6x - 3x = 15 + 6}[/tex]

[tex]\: \: \: \rightarrow \: {3x = 21}[/tex]

[tex]\: \: \: \rightarrow \: {x = \displaystyle{{ \frac{21}{3} }}}[/tex]

[tex]\: \: \: \pmb\rightarrow \: { \pmb{x = 7}}[/tex]

Answer:

(20,

Step-by-step explanation:

Answer:

6x +12 < 10

Step-by-step explanation:

Answer:

5x + 8y = 24

Step-by-step explanation:

Multiply the equation 8

8 ( y = -5x/8 + 3 )

8y = -5x + 24

5x + 8y = 24

The party was attended by Karen, her mother, 4 other adults, and 110 of Karen's friends, for a total of $ 555.

Since Karen invited 150 friends to her 15th birthday party, but not everyone can attend, Karen's mother want one adult for every 25 of her friends, and the cost of food is $ 20 for every four of her friends, and the adults eat for free, if a total of 116 people (including Karen and her mother) go to the party, to determine how many are adults and how many are Karen's friends and how much will the food cost, the following calculations must be performed:

Therefore, the party was attended by Karen, her mother, 4 other adults, and 110 of Karen's friends, for a total of $ 555.

Learn more about maths in https://brainly.com/question/25865591

Answer:

225/10=441/l

cross multiply

225l=10*441

225l=4410

l=4410/225

l=19.6 liters of gas

Step-by-step explanation:

l=19.6 liters of gas

Answer:

x < 6

Step-by-step explanation:

1) -5x > -30

2) divide both sides by -5

3) flip the sign as we divided inequality by a negative

4) x < 6

Answer: y = -(1/2)x - 1

Step-by-step explanation:

y=2x+3

This is written in the format of y = mx + b, where m is the slope and b the y-intercept.  The slope of this reference line is 2.  Perpendicular lines will have a slope that is the negative inverse of the slope of the reference line.  That means out new line will have a slope of -(1/2):

y = -(1/2)x + b

We can find b by entering the x and y for the given point (-4,1) and solve for b:

y = -(1/2)x + b

1 = -(1/2)(-4) + b

1 = 2 + b

b = -1

y = -(1/2)x - 1

This equation is perpendicular to y=2x+3 and goes through point (-4,1).  See attachment.

Answer:

Step-by-step explanation:

Another way to do it is to multiply by 100 and divide by 2. That's probably the simplest way to do it.

Aslan of course would get the right answer. It's direct and it does give the right answer.

Lucy also did it correctly.

Jack is the only one who will not get it right.

Answer:

x = 14

Step-by-step explanation:

1. We know that all angle measures in a triangle sum to 180 degrees.

2. (Solving)

Step 1: Combine like terms.

Step 2: Add 16 to both sides.

Step 3: Divide both sides by 14.

Step 2: Check if solution is correct.

Therefore, the answer is x = 14.

Answer:

see explanation

Step-by-step explanation:

An open circle indicates that x cannot equal that value

A closed circle indicates that x can equal that value.

(i)

An open circle at x = - 1 and arrow pointing right

x > - 1

(ii)

An open circle at x = - 1.5 and arrow pointing right

x > - 1.5

(iii)

A closed circle at x = 4 and arrow pointing left

x ≤ 4

(iv)

A closed circle at 0.5 and arrow pointing left

x ≤ 0.5

y = -2x + 5

hope this helps!

Answer:

  B

Step-by-step explanation:

If you're concerned with the points -2 and -5, you would be looking for a number line with those points plotted on it. The only one is ...

  number line B

Answer:

  C -- see attachment

Step-by-step explanation:

The graph you're looking for has a y-intercept of -2 (as they all do) and a negative slope that is steeper than -1. It will have a "rise" of -4 for each "run" of 3, so point (-3, 2) will also be on the graph.

The graph shown in the attachment is the one you're looking for.

_____

Two of the offered graphs have negative slope. One (B) has a slope of -3/4, so is not the correct graph. The other (C) has a slope of -4/3. It is attached.

Answer:

  101

Step-by-step explanation:

To get the largest weighted sum, you want to give the largest weight to the largest possible digit.

  Max( ) = 7·9 +3·8 +2·7 = 63 +24 +14 = 101 . . . . (x, y, z) = (7, 8, 9)

The maximum sum is 101.

Answer:

x < -7/3

x [tex]\geq[/tex] 5

Step-by-step explanation:

For the first part:

3x + 10 < 3 subtract 10 from the both sides of the inequation

3x < -7 divide both sides by 3

x < -7/3

For the second part:

2x - 5 [tex]\geq[/tex] 5 add 5 to both sides of inequation

2x [tex]\geq[/tex] 10 divide both sides by 2

x [tex]\geq[/tex] 5

Answer: I say the answer is 20 years old, 30 years old

Step-by-step explanation: If rachel is 10 years old than her sister in six years from now, the sum of their ages will be 40. So rachel is 10 years older than her sister so the younger sister has to be 20 years old and and rachel is 30 years old.

Answer:

Hey There!

Let's solve...

[tex] \frac{a}{a + 2} = \frac{3}{5} \\ \\ [/tex]

if a/b=c/d,then it will be a*d=b*c

Note: * means "×" or multiply

Let's continue...

[tex]a \times 5 = (a + 2) \times 3 \\ now \: expand \: \\ a \times 5 = 3a + 6 \\ \\ a \times 5 - 3a = 3a + 6 - 3a \\ [/tex]

[tex]now \: it \: will \: be \: a \times 2 = 6 \\ so \: 2a = 6 \\ \\ therefore \: a = \frac{6}{2} \\ simplify \\ \\ \frac{ \cancel{6}^{3} }{ \cancel{2} ^{1} } \\ so \: a = 3 [/tex]

So final answer is a=3

The value of a in the equation is 3

The equation is given as:

[tex]\frac{a}{a+2} =\frac 35[/tex]

Start by cross multiplying the above equation

[tex]5 \times a = 3 *(a + 2)[/tex]

Simplify each product

[tex]5a =3a + 6[/tex]

Collect like terms

[tex]5a -3a = 6[/tex]

Evaluate the difference

[tex]2a = 6[/tex]

Divide both sides by 2

[tex]a = 3[/tex]

Hence, the result of the equation is 3

Read more about equations at:

https://brainly.com/question/2972832

Answer:

1. ARITHMETIC

2. NEITHER

3. GOEMETRIC

#Carryonlearning

Answer:

Step-by-step explanation:

a  (2³)² = 2³ˣ² = 2⁶

b (7⁰)¹ = 7⁰ˣ¹ = 7⁰ = 1

c (5⁶)³ = 5⁶ˣ³ = 5¹⁸

d (6²)⁴ = 6²ˣ⁴ = 6⁸

e (8³)⁴ = 8³ˣ⁴ = 8¹²

f (4³)² = 4³ˣ² = 4⁶

g (9¹)² = 9¹ˣ² = 9² = 81

h (3⁷)² = 3⁷ˣ² = 3¹⁴

i (10²)³ = 10²ˣ³ = 10⁶

j (11²)⁴ = 11²ˣ⁴ = 11⁸

Answer:

14. 1. would u be mine?

Step-by-step explanation:

Answer:

V to X = 68mi

X to W = 50mi

V to W = will be 68mi too

Step-by-step explanation:

note ; it's a triangle*

y=8x+b, b being any number, is parallel to y=8x+4.

For example:

y=8x+2

y=8x+(1/2)

y=8x+937382

y=8x-4

Answer:

1500 + x(0.1)=salary

Step-by-step explanation:

Without a sales value, what I'm assuming you want is the equation to find his salary

Using a y=mx+b equation, we find that the b=1500, while m (the slope) is equal to 10%/100 and x is the dollar ammount in sales marcus has made, with y being this months paycheck

so we end up with an equation of 1500 +0.1x=y

Leave a thanks please!

Answer:

This depends on what other colors are in the question. But put 1/x  and replace the x with how many colors there are and thats thier probabilaty of choosing purple.

Step-by-step explanation:

Theres no possible way of knowing unless you already have met and or know the person so if theres green, blue, pink, yellow, and purple, theres 5 colors and purple is 1 out of them therefore, 1/5

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Explanation:

Lets go through the points one by one

So we'll try (5,3) first. Plug x = 5 and y = 3 into the first inequality

[tex]y > -0.5x+5\\3 > -0.5*5+5\\3 > -2.5+5\\3 > 2.5[/tex]

We get a true result so (5,3) is a solution to the first inequality. Now check the second inequality.

[tex]y \le 3x-2\\3 \le 3(5)-2\\3 \le 15-2\\3 \le 13\\[/tex]

That's also true. Therefore, the point (5,3) is a solution to the system overall.

Your teacher wants you to find a non-solution, so we must cross choice A off the list.

---------------------

Let's now try choice B. We have x = 4 and y = 3

[tex]y > -0.5x+5\\3 > -0.5*4+5\\3 > -2+5\\3 > 3[/tex]

That last inequality is false. It's not possible to have a number larger than itself (or smaller than itself). So (4,3) is not a solution to the first inequality. We don't need to check the second inequality as we found the answer.