Help please inverse / direct variations problem

Answer:

9%

Step-by-step explanation:

To find the answer, you have to use the formula to calculate the interest rate:

r=(1/t)(A/P-1), where

r=rate of interest

A=accrued amount=3000+1350=4350

P=principal amount=3000

t=time periods=5

Now, you can replace the values:

r=(1/5)*(4350/3000-1)

r=0.2*(1.45-1)

r=0.2*(0.45)

r=0.09

According to this, the annual interest rate of her investment is 9%.

Answer:

[tex]y=-11[/tex]

Step-by-step explanation:

So we have the equation:

[tex]y=-2x+1[/tex]

To find y when x is 6, substitute x for 6. Thus:

[tex]y=-2(6)+1[/tex]

Multiply:

[tex]y=-12+1[/tex]

Add:

[tex]y=-11[/tex]

So our answer is -11 :)

Answer:

The answer is -11 which means y = -11.

Answer:

$43

Step-by-step explanation:

You have to find how much he is paying for his games and how much he is paying for his rides, then add them together.

5(3) = $15 (games)

8(3.5) = $28 (rides)

28+15 = 43

Answer:

2x^2 - 7  

we can plug any values of x into this The domain is All Real x.

The graph will be a parabola opening upwards with a minimum value  when x = 0  and  f(x) will be = -7

so the range is  f(x) <= -7    or  (-∞, -7]

Answer:

23

Step-by-step explanation:

Since Jungkook's birthday is on September 1, 1997, that makes him 22 for now. When September 1st, 2020 occurs, he will be 23.

Answer:

Step-by-step explanation:

      let x=0.4666...

        10x=4.666...

      100x=46.6666...

100x-10x=46.6666... - 4.6666...

       90x= 42

            x=42/90

So 0.4666... is equal to 42/90

Answer:

Step-by-step explanation:

[tex]m\angle BHD=180^o-x^o[/tex]

[tex]m\angle DBH+m\angle BHD+m\angle HDB=180^o\\\\47^o+180^o-x^o+31^o=180^o\\\\78^o-x^o=0\\\\x^o=78^o[/tex]

what diagram?? I would multiply 1.50 by 4 then multiply 6.00 by the total surface area to get the total cost.

Answer:

66mm

Step-by-step explanation:

The circumference of a circle is given by

C =2 pi r

  22/7 * 2( 10.5)

  22/7 * 21

  66

Answer:

$19,000 loss

Step-by-step explanation: Cost of the car: $29,000

                                              Cost of the car he sold for: $10,000

                                              Total lost occurred: $29,000 - $10,000 = $19000

                                              Therefore, the lost occurred was $19,000

Answer:

[tex]\frac{1}{7}[/tex]

Step-by-step explanation:

[tex]\frac{2}{5} / \frac{14}{5}\\\frac{2}{5} * \frac{5}{14} \\\frac{1}{7}[/tex]

Answer:

Step-by-step explanation:

1/2a+20=50

1/2a=30

a=10

Answer:

a= 60

Step-by-step explanation:

1/2a+2/3b=50, when b=30

Let's first subsitute 30 into b:

1/2a+2/3(30)=50

According to the order of operations, we must multiply 2/3 and 30 first.  So:

2/3 times 30 equals 20.

2/3 times 30/1.  3 goes into 30 ten times, so 2 times 10= 20.

Now we got:

1/2a+20=50

Since 20 and 50 are like terms, you want to geth those two together.  So, move the positive 20 to the other side where 50 is.  Since 20 got moved to the opposite side, it changes signs and becomes negative.

So:

1/2a=50-20        

50-20= 30

1/2a=30

Multiply each side by 2 because 2 is the only number that'll make the variable a just 1a.

1/2a times 2= 1a

30 times 2= 60, so:

1a= 60, which is also a= 60.

So a= 60.

Answers:

a = 3

x intercept = -2

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

Explanation:

f(x) is the original function given. Let g(x) be the inverse of f(x).

To find the inverse, we first replace f(x) with y to get

y = (1/3)x-2

Afterward, we swap x and y to get

x = (1/3)y-2

From here, we must isolate or solve for y. To do so, add 2 to both sides and then multiply both sides by 3

x = (1/3)y-2

x+2 = (1/3)y

3(x+2) = y

y = 3(x+2)

g(x) = 3(x+2)

This explains where the x+2 comes from in the a(x+2) expression

The value of 'a' is therefore a = 3

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

To find the x intercept of the inverse, we replace g(x) with 0 and solve for x

g(x) = 3(x+2)

0 = 3(x+2)

0/3 = x+2

0 = x+2

x+2 = 0

x = 0-2

x = -2

The x intercept is x = -2. Plugging this x value into g(x) leads to g(x) = 0.

The g(x) graph crosses the x axis at x = -2.

Answer:

16.35Rs would be paid by everyone.

Step-by-step explanation:

98.10/6

=16.35Rs would be paid by everyone.

Hope it will help you :)

Answer:

I hope your question is 4x²+3x+5, then the degree of this polynomial is 2

Answer:

z = 32

Step-by-step explanation:

Add 3 to both sides.

5 + 3 = z/4 -3 + 3

8 = z/4

Multiply 4 on both sides. 8 times 4 is 32.

32 = z

Answer:

the answer is the second option

Step-by-step explanation:

Range is all the y values

Answer:

(a)

[tex]4.5y \geqslant 9[/tex]

(b) 3, 4, 5

Step-by-step explanation:

(a) 4.5 × y = 9 and above

[tex]4.5y \geqslant 9[/tex]

(b)

[tex]4.5y \geqslant 9 \\ y \geqslant \frac{9}{4.5} \\ y \geqslant 2[/tex]

Possible y values = 2 and over

eg. 3, 4, 5

hope this helps :))

Answer:

Step-by-step explanation:

12x + 2y = 26x - 70

2y = 14x - 70

y = 7x - 35

the answer is A

Answer:

a

Step-by-step explanation:

Given

12x + 2y = 26x - 70 ( subtract 12x from both sides )

2y = 14x - 70 ( divide all terms on both sides by 2 )

y = 7x - 35 → a

Step-by-step explanation:

x is 10

FO is x+10

OG is 10+10

FG is x+3x

Explanation:

Draw a vertical number line. At the center is 0. Anything above this marker represents positive temperatures. Anything below 0 is negative. So we'll have -8 below 0. Move 6 spaces down to go from -8 to -14. You can think of it as moving 6 floors down a building to go from basement level 8 to basement level 14.

Answer:

The mean will be (significantly) less.

Depending on the other items, the median is either affected only slightly or not at all.

Of all the answer choices, B is the correct one.

Step-by-step explanation:

So, we know that initially, Chucky had a total of 12 items. Each of the items has a different price, but the average cost of them is $7.41.

One item of the twelve was a wheel of cheese that costs $39.99.

And we want to know how the average cost and median cost will be affected if we remove this wheel of cheese.

The important thing to note here is that the average cost is $7.41. The wheel of cheese, however, costs $39.99. Thus, it is an outlier. It is significantly more expensive than the other items.

Initially, to find the mean, we had to add the 12 items together and then divide by 12. However, now that we removed the expensive outlier, the average cost will now be less.

Algebraically, we can see this. Let t be the total cost of the items excluding the cheese. Thus, the mean initially is:

[tex]7.41=\frac{t+39.99}{12}[/tex]

Find t. Multiply both sides by 12:

[tex]88.92=t+39.99\\t=48.93[/tex]

Therefore, all the other items excluding the cheese totals $48.93.

If we remove the cheese, the total is now $48.93 and with only 11 items. Thus, the mean is now:

[tex]48.93/11\approx\$4.45[/tex]

This is almost $3 less than the original mean. Thus, the mean has decreased significantly.

For the median, we really don't know. Recall that the median is simply the "middle" quantity. Assuming all the other products are similarly priced, the median may only change slightly or it may not at all. However, we can only guess for the median as it will depend on the prices of the other products. Nevertheless, it mostly likely decrease.

Edit: Added Letter Answer

Answer:

B

Step-by-step explanation:

Create a function to help determine his total cost.

12 x $7.41 = $88.92

After putting the cheese back he has 11 items and his total cost went down.

$88.92-$39.99 = $48.93

To find the average cost per item divide by 11.

$48.93/11 = $4.45 per item

The mean (average) has gone down.

The median would be the middle number, so you would need to line the cost of the items up from least to greatest. If you have an even number of items, you take the mean of the middle 2 numbers. The block of cheese would have have given Chucky 12 items so the 2 middle numbers would have been averaged.

A hypothetical 12 and 11 items:

$1  $2  $2  $3  $4  $4  $5  $6  $7  $7  $8  $39.99

Mean $7.42  Median $4.5

$1  $2  $2  $3  $4  $4  $5  $6  $7  $7  $8

Mean $4.45     Median $4

Taking the cheese away would move the middle down 1 number so it would also go down, but not as much as the mean of cost per item.

B. Both the mean and median will decrease, but the mean will decrease by more than the median.

Answer:

m ∠ M L N = 120

m < QLP =50

Step-by-step explanation:

Ray lq at 0 or 180,

ray lp at 50 or 130,

ray ol at 90,

ray ln at 60 or 120

and ray lm at 0 or 180

Lets substitute the values of the angles to check the given options

1) ∠ Q L P + m ∠ P L O =m< MLN+m< NLO m

50 +40= 120+30

90 is not equal to 150

2) m < QLO- m < QLP =m < MLO-m< MLN m

90-50 = 90-120

40 is not equal to 30

3) m< MLN\:=\:120  From the figure based on observation this is correct.

4) m < QLP =50   From the figure based on observation this is also correct.

Answer:

Given: Angle L N O ≅ Angle L N M

           Angle O L N ≅ Angle M L N

Prove: Angle L N O ≅ Angle L N M

Triangles L O N and L M N share common side L N. Angles O L N and N L M are congruent. Angles O N L and L N M are congruent.

It is given that angle LNO is congruent to angle

✔ LNM

and angle OLN is congruent to angle

✔ MLN

. We know that side LN is congruent to side LN because of the

✔ reflexive property

. Therefore, because of

✔ ASA

, we can state that triangle LNO is congruent to triangle LNM.

Step-by-step explanation:

Answer:

3x + 6

Step-by-step explanation:

It's A because x + x + x = 3x and 2+2+2 = 6

Answer:

Mae used 1/4 of the whole bag on Wednesday.

Step-by-step explanation:

From the question, we understand that the fraction of the whole bag that Mae used on Monday is 3/4.

On Wednesday, we are then told that Mae uses 1/3 as much fruit as on Monday.  

This means that Mae uses 1/3 of the fruits she used on Monday. The fruits she used on Monday was actually 3/4 of the whole.

This means that on Wednesday, Mae used 1/3 of 3/4 fruits.

In Mathematics, the word "of" there stands for multiplication. Hence, Mae used 1/3 X 3/4 = 1/4 of the whole bag

Mae used 1/4 of the whole bag