Determine what type of model best fits the given situation: A retirement account that is expected to

grow by $1,000 per year.

Answer:

D. y = -5x + 6

Step-by-step explanation:

If we replace the values of x in the expressions we can find y. By replacing the values of x we see that the only option that has the correct values of y is the option D.

Answer:

A

Step-by-step explanation:

I did the wrong thing. I inverted the graph. That's not the question. The question is which one of the following is on the inverse of the graph. That means that x and y are interchanged. The answer you gave was the second best answer. The answer is (-3,0) which is A.

Answer:

Its usual speed is 25 kilometre/hour

Step-by-step explanation:

Let the usual  time duration for a journey of 300 km. = t

Let the usual speed = v

The parameters given are;

The time duration for the 300 km. journey at increased speed = t - 2

The increased speed of the passenger train = v + 5

Distance, d = Speed, v × Time, t

Therefore, we have;

v × t = 300

∴ t = 300/v

Also (v + 5)×(t - 2) = 300

Substituting the value of t = 300/v, we have;

(v + 5)×(300/v - 2) = 300

[tex]- \dfrac{2 \cdot v^2 - 290 \cdot v - 1500}{v} = 300[/tex]

Which gives;

2·v² + 10·v - 1500 = 0

Which is equivalent to v² + 5·v - 750 = 0

Therefore we have;

(v + 30)·(v - 25) = 0  whereby v = -35 or 25 km/h

v = Natural number = 25 km/hour

Therefore its usual speed is 25 kilometre/hour.

Answer:

When you divide, the answer is the quotient.

Step-by-step explanation:

For example:

6/3 = 2

The quotient is 2

Answer:

16

Step-by-step explanation:

the quadratic equation –3 = –x2 + 2x can be changed into :

x²-2x-3= 0

a=1, b= -2 , and c = -3

so, the discriminant = (-2)²-4(1)(-3)

= 4 + 12 = 16

Answer:

if an angle measures more than 90 degrees, then the angle is obtuse

Answer:

9

Step-by-step explanation:

RT = ST + RS

RT = x + 5, ST = 4x - 9, RS = x - 2

x + 5 = 4x - 9 + x - 2

Combine like terms

x + 5 = 5x - 11

Add 11 to both sides

x + 16 = 5x

Subtract x from both sides

16 = 4x

Divide both sides by 4

4 = x

Find RT

RT = x + 5

x = 4

RT = 4 + 5

RT = 9

Answer:

RT = 9

Step-by-step explanation:

        R         x - 2                   S        4x - 9             T

        +-------------------------------+--------------------------+

                                         x + 5

RT = RS + ST

x + 5 = x - 2 + 4x - 9

x + 5 = 5x - 11

-4x = -16

x = 4

RT = x + 5

RT = 4 + 5

RT = 9

Answer:

420 cubic inches is the answer

Answer:

420 cubic inches

Step-by-step explanation:

Volume of rectangular pyramid

= 1/3*lbh

= 1/3 * 10*9*14

= 10*3*14

= 420 cubic inches

Answer: C = 7

Step-by-step explanation:

6 -5c = -29  make the variable be by itself by subtracting 6 on both sides.

-5c = -35  divide -5 on both sides, when dividing if both numbers are negative they become positive.

c = 7  

Answer:

Step-by-step explanation:

You have to solve this as a system. We have 3 coordinates given; the first 2 are given as zeros of the quadratic, the 3rd one is given as a regular coordinate. The zeros of a quadratic are where the y values of a coordinate are 0's because the x-intercepts of a quadratic (aka zeros) exist where y = 0. We use each of those points in the standard form of a quadratic to solve for a, b, and c. First, (0, 0):

[tex]0 = a(0)^2+b(0)+c[/tex] which gives us that c = 0. We'll use that value of c as we move forward with the problem. Next we'll use (3, 0):

[tex]0=a(3)^2+b(3)+0\\0 =9a+3b[/tex]Hold that thought for a minute or 2. Next we'll use the coordinate (1, 6):

[tex]6=a(1)^2+b(1)+0\\\\6=a+b[/tex] Now we have a system that we can solve using either substitution or elimination for a and b. I used elimination:

6  =  a  +  b

0  = 9a + 3b  and multiply the top equation by -3:

-18  =  -3a  -  3b

 0  =   9a  +  3b

so

-18 = 6a and

a = -3. Now back solve for b:

6 = -3 + b so

b = 9 and our quadratic is

[tex]y=-3x^2+9x+0[/tex] or just

[tex]y=-3x^2+9x[/tex]

Answer:

f(x)=9^(x)

Plugging in m+n+p=x, we have

f(m+n+p) = 9^(m+n+p)

Using the properties of exponential a^(b+c) = a^b*a^c, we have

f(m+n+p) = 9^(m)*9^(n)*9^(p)

f(m+n+p) = f(m)*f(n)*f(p)

Answer:

Step-by-step explanation:

Since the triangle is a right angled triangle we can use Pythagoras theorem to find the missing side x

Using Pythagoras theorem we have

[tex] {a}^{2} = {b}^{2} + {c}^{2} [/tex]

where a is the hypotenuse

Substitute the values into the above formula

The hypotenuse is 10 inches

We have

[tex] {10}^{2} = {5}^{2} + {x}^{2} [/tex]

[tex] {x}^{2} = {10}^{2} - {5}^{2} [/tex]

[tex] {x}^{2} = 100 - 25[/tex]

[tex] {x}^{2} = 75[/tex]

We have the final answer as

Hope this helps you

Answer:

Acute.

Step-by-step explanation:

An angle of measure between 0 and 90 degrees is an acute angle.

Answer:

I think option b i.e 7 is right but not sure

Answer:

2.7 hours

Step-by-step explanation:

We can use the formula

1/a + 1/b = 1/c

where a and b are the times working alone and c is the time working together

1/8 + 1/b = 1/2

Multiply each side by 8b to get rid of the fractions

8b( 1/8 + 1/b = 1/2)

b + 8 = 4b

Subtract b from each side

b+8-b = 4b-b

8 = 3b

Divide each side by 3

8/3 = 3b/3

2.666666repeating = b

Round to 1 decimal place

2.7 = b

Answer:

2.7 hr

Step-by-step explanation:

2/8 +2/x = 1

2x+16 =8

16/8

x=8/3 =2.7

Answer:

greatest number of solutions is 2

Step-by-step explanation:

one is a parabola, the other is a line

so it can intersect in 0, 1, 2 points

Answer:

x=25

Step-by-step explanation:

you know that both angles equal the same degrees, so the bottom one is 150° so the other is also 150°. You already have 50° so all you need left is 100°. divide 100 by 4 and you get x=25

Answer:                                                      __

Yes I think so because 1.55555... is just 1.55. And that is rational so I would assume this is rational

Answer:

x = 1

Step-by-step explanation:

Given

x + 2[tex]\sqrt{x}[/tex] - 3 = 0 ( subtract x - 3 from both sides )

2[tex]\sqrt{x}[/tex] = 3 - x ( square both sides )

4x = (3 - x)² ← expand using FOIL

4x = 9 - 6x + x² ( subtract 4x from both sides )

0 = x² - 10x + 9 ← in standard form

0 = (x - 1)(x - 9) ← in factored form

Equate each factor to zero and solve for x

x - 1 = 0 ⇒ x = 1

x - 9 = 0 ⇒ x = 9

As a check

Substitute these values into the left side of the equation and if equal to the right side then they are solutions.

x = 1 : 1 + 2[tex]\sqrt{1}[/tex] - 3 = 1 + 2 - 3 = 0 → x = 1 is a solution

x = 9 : 9 + 2[tex]\sqrt{9}[/tex] - 3 = 9 + 6 - 3 = 12 ≠ 0

x = 9 is an extraneous solution while x = 1 is a solution

Answer:

THEY ARE COMPLIMENTARY BUT NOT NECESSARILY CONGRUENT.

Step-by-step explanation:

This is so because their lines don't meet.

Step-by-step explanation:

To convert 0.007407 into scientific notation, follow these steps:

Move the decimal 3 times to right in the number so that the resulting number, m = 7.407, is greater than or equal to 1 but less than 10

Since we moved the decimal to the right the exponent n is negative

n = -3

Write in the scientific notation form, m × 10n

= 7.407 × 10-3

i think this may help you tq

Answer & Step-by-step explanation:

Let's start with the first problem.

1.) 9a⁴b⁴ - 27a³b³

Now, we have to find a number or a term that can be divisible by both terms in the expression. 9 and 27 have a common factor of 9. a⁴b⁴ and a³b³ have a common factor of a³b³. So, let's use this information to find our answer.

The GCF of the expression is 9a³b³

Now, let's do the second problem.

2.) x² - 36

For this problem, we have to factor out the expression. Since this a perfect square binomial, we can just square the terms and that will give us our answer.

The factored form of this expression is (x + 6)(x - 6)

Lastly, let's do the third problem.

3.) x² + 7x + 10

For this problem, we are going to have to factor again. First, we can break down the middle term so we can factor the expression.

x² + 2x + 5x + 10

Now, we pair the first two terms together and the last two term together.

(x² + 2x) + (5x + 10)

Now, we factor each parentheses by finding the common factor between them.

x(x + 2) + 5(x + 2)

Since, our terms are the same in each parentheses, then that means we have factored correctly.

The factored form of this expression is (x + 5)(x + 2)

Answer:

Step-by-step explanation:

The maximum possible distance between  two posts for the fence will be given by HCF ( highest common factor ) of 24 and 64

24 = 8 x 3

64 = 8 x 8

highest common factor is 8 .

So distance between two poles ( maximum separation ) will be 8 m .

Ans : 8 m .

Hey there! I'm happy to help!

Hey there! I'm happy to help!

First, let's find the area of the circle of the first cylinder. To do this, we square the radius and multiply by 3.14.

3²=9

9×3.14=28.26

Now we multiply by our height of 49 cm to see how much water there is.

28.26×49=1384.74

Now, let's find the area of the circle of the 7 cm cylinder.

7²=49

49×3.14=153.86

Now, we will take our liquid amount (volume) and divide by this circle amount (base) to find the number of centimeters of height of the water column.

1384.74÷153.86=9

So, the height of our water column will be 9 cm.

Have a wonderful day and keep on learning! :D

Answer:

C

Step-by-step explanation:

Show that the two angles are congruent at 65 each

Tangents touch the circle and make a right angle with the radii.

The radii are equal                                                     Property of radii.

The center line is common to both triangles.          Reflexive line

The tangent lines are congruent                              Found from Pythagoras

The triangles are congruent                                     SSS

The two angles are congruent                                Parts of Congruent Δs                

Add the 2 congruent angles of 65 each.

The angles are 65 + 65 = 130

The entire circle has 360 degrees.

Subtract 130 from 360

b = 360 - 130

b = 230

Answer:

5

Step-by-step explanation:

Answer:

5 (Follow PEMDAS left—>right)

Answer:

x = -1/2

Step-by-step explanation:

-10x = 5

Divide both sides by -10.

x = -1/2

Answer:

Step-by-step explanation:

Answer:

1.) 10044

2.) 100.44

Step-by-step explanation:

Since n is a number of five-digit positive integers which are divisible by 36, start multiplying 36 by number. Starting from 278.

Five digits numbers start from multiplying 36 by 278. Any multiplication below 278 by 36 will give four digits numbers.

36 × 278 = 10,008

36 × 279 = 10,044

10,044 tens digit and unit digit equal. Therefore n = 10044

To find n/100, divide 10044 by 100

10044 / 100 = 100.44

Answer:

19y - 9

Step-by-step explanation:

We can use the acronym PEMDAS. First, we need to calculate -3(-4y+3) by distributing. This is -3 * (-4y) + (-3) * 3 = 12y - 9 so the expression becomes 12y - 9 + 7y. Next, we need to combine like terms. 12y and +7y are like terms since they both have y so combining them gives us 12y + 7y = 19y. -9 stays by itself since there are no other constants so the final answer is 19y - 9.

Hey, it's really very easy to simplify .

I will write step by step.

= -3 (-4y + 3) +7y

= (-3) (-4y) + (-3) (3) + 7y

= 12y + -9 + 7y

= 12y + -9 + 7y

= (12y + 7y) + (-9)

Therefore, 19y + -9 is the answer.