Non-Liner System of Equations:
I created two systems of equations (one being linear one being quadratic) and need to solve them algebraically with work shown.
pls help

f(x) = 3x + 5
f(x) 3x^2 + 5

The inequality that represents this situation is x ≤ 6. On the other hand, the parents can ship only the tennis rackets.

The equality that represents this situation is x ≤ 6 because the number of pounds that can be added (x) has to be 6 or less than 6.

The parents can only ship the tennis rackets because these are 5 pounds which meets the criteria of the inequality.

The inequality would change to x ≤ 1 because the weight that could be added if he needs these producs changes to only 1 pound.

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Answer:

centre = (- 3, 2 )

Step-by-step explanation:

the equation of a circle in standard form is

(x - h)² + (y - k)² = r²

where (h, k ) are the coordinates of the centre and r is the radius )

(x + 3)² + (y - 2)² = 64 ← is in standard form

with centre (- 3, 2 )

Answer:

1120^2

Step-by-step explanation:

25x17=425

425+(8x25)=625

625+(8x15)=745

745+(15x25)=1120

Answer:

3 hours and 30 minutes

Step-by-step explanation:

8:15+3=11:15

11:15+30=11:45

Answer:

15 hr 30 min

Step-by-step explanation:

8:15 - 9 am = 45 min

9 am to 11 pm = 14 hours

11pm - 11:45 pm = 45 min

90 min = 1 hr 30 min

14 hr + 1 hr 30 min = 15 hr 30 min

Answer:

$54

Step-by-step explanation:

36 divided by 2= 18

$36+$18=$54

Considering the speeds given, it is expected Sophie and Jenny are 400 km apart after a total of 5 hours.

Jenny:

Sophie:

It is expected 5 hours later they are 400km apart because at this time each of them will be 200km away from school.

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Answer:

5.1m

Step-by-step explanation:

Distance=[tex]\sqrt{5^{2} +1^{2} }[/tex]

=5.1

Answer:

5.1 meters

Step-by-step explanation:

To Know :

Applying Distance Formula :

Answer:

$4000

Step-by-step explanation:

so $2800 was the starting price

100%-30%=70%

So 2800=70%

2800/7=400

400=10%

400*10=$4000

Answer:

answer C.

Step-by-step explanation:

the base of the triangle is 4 units.the other leg is sqrt5.

the last leg is 4 +9 = 13 so it is sqrt 13.

add them all up together and you get 4+sqrt 13 + sqrt 5 which is C.

hey I will guess you are above oklahoma because it is raining(bottom right) and your temp starts with 6

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

[tex]\diamond\large\blue\textsf{\textbf{\underline{Question:-}}}[/tex]

          ✳︎ 5-3x=-10. what is x?

[tex]\diamond\large\blue\textsf{\textbf{\underline{\underline{Answer and how to solve:-}}}}[/tex]

 ➪ First, subtract 5 on both sides:-

-3x=-10-5

 ❒ Which simplifies to:-

 ✩ -3x=-15

Divide by -3 on both sides:-

   ✩  x=5

So we conclude that the value of x is 5.

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

Answer:

6x+8

Step-by-step explanation:

2(3x+4)= 2(3x) + 2(4) = 6x+8

A person who has only a high school diploma, they are most likely to have an income of less than $40,000.

Its simple notion is that something will most likely occur. The favorable event's proportion to the overall number of occurrences.

The probability of a high school diploma person having less than $40,000 income will be

P(HSD) = 51/78

P(HSD) = 0.6538

The probability of a Bachelor's degree person having less than $40,000 income will be

P(BD) = 24/78

P(BD) = 0.3077

The probability of a master's degree person having less than $40,000 income will be

P(MD) = 3/78

P(MD) = 0.0385

A person who has only a high school diploma, they are most likely to have an income of less than $40,000.

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The mean is the ratio of the actual number of observations to the sum of the observations. Then the mean will be 2.5.

The average of a group of numbers is simply defined as the mean. In statistics, the mean is regarded as one of the indicators of central tendency. Arithmetic mean is a term used to describe the average.

The graph below represents data that was collected by students on the number of social media posts they made the previous day.

Then the mean will be

The sum of the observation will be

Observation sum = 4 + 2 + 2 + 3 + 3 + 2 + 1 +3

Observation sum = 20

Then the mean will be

Mean = 20/8

Mean = 2.5

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Answer:

Option A. 3(n-2)

Step-by-step explanation:

"2 less" - "subtract 2"

Then 3 of n - 3n

Hope helps -

Answer:

C) 3n - 2

Step-by-step explanation:

3 of n : 3n

2 less than : -2

Combine together :

In the question, it is given that a flower vase has a radius of 10 cm and a height of 50 cm , we have to find the volume .

[tex] \: \: \: \: \: \: \: \: \: \: \: \: [/tex]

To Find the volume of the cylindrical flower vase , we must know this formula :

[tex] \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \Longrightarrow\underline{\boxed{ \color{lime}{V=πr^2h}}}[/tex]

Now, we will substitute the values in the formula:

[tex]\Longrightarrow\sf{V=3.14*10^2*50}[/tex]

[tex] \: \: \: \: \: \: \: \: \: \: \: \: [/tex]

[tex]\Longrightarrow\sf{V=3.14*100*50}[/tex]

[tex] \: \: \: \: \: \: \: \: \: \: \: \: [/tex]

[tex]\Longrightarrow\sf{V=314*50}[/tex]

[tex] \: \: \: \: \: \: \: \: \: \: \: \: [/tex]

[tex]\Longrightarrow\sf{V=15700}[/tex]

The volume of the flower vase (cylinder).

[tex]\boxed{\sf{Formula: V = \pi {r}^{2} h}}[/tex]

[tex]V = \pi \times {10}^{2} \times 50[/tex]

[tex]V = 15707.96327 \: {cm}^{3} [/tex]

[tex]\large\boxed{\sf{V = 15707.96 \: {cm}^{3} }}[/tex]

Hence, the volume of the flower vase (cylinder) is 15707.96 cubic centimeters.

Answer:

  1206.4 ft³

Step-by-step explanation:

The volume of the composite figure is the sum of the volumes of its parts. Each part has its own volume formula.

__

The formula for the volume of a cone is ...

  V = 1/3Bh . . . . where B is the area of the base, and h is the height

The formula for the volume of a cylinder is ...

  V = Bh . . . . where B is the area of the base, and h is the height

The formula for the area of a circle is ...

  A = πr² = π(d/2)² = (π/4)d²

Combining the volume formulas for a figure with the same base area, we have ...

  V = B(cylinder height) + 1/3B(cone height)

  V = B(cylinder height + 1/3×cone height) . . . . where B is the base area

Using 16 ft for the diameter, and 4 ft and 6 ft for the heights of the cylinder and cone, respectively, we have ...

  V = (π/4)(16 ft)²(4 ft + 1/3×6 ft) = 64π(4 +2) ft³ = 384π ft³

The volume is about ...

  384π ft³ ≈ 1206.4 ft³

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

Reason:

If the linear scale factor is 5, then the volume scale factor is 5^3 = 125

Meaning we'll multiply the old volume by 125 to get the new volume

new volume = 125*(old volume)

new volume = 125*(24)

new volume = 3000

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

A more in-depth look:

Consider a 2 by 2 by 2 block. Its volume is 2*2*2 = 8

Now multiply each dimension by 5, so we now have a 10 by 10 by 10 block. The new larger volume is 10*10*10 = 1000

The volume ratio is 1000/8 = 125, which matches with the value found earlier.

Since we multiplied each piece by 5, and did so three times, we're really multiplying the volume by 5*5*5 = 125.

Answer:

D

Step-by-step explanation:

using the rule of exponents

[tex]a^{-m}[/tex] = [tex]\frac{1}{a^{m} }[/tex]

substitute x = - 3 into f(x)

f(- 3) = 4([tex](2)^{-3}[/tex] = 4 × [tex]\frac{1}{2^{3} }[/tex] = 4 × [tex]\frac{1}{8}[/tex] = [tex]\frac{1}{2}[/tex]

Answer:

Step-by-step explanation:

How do you tell if a relation is a function using domain and range?

Find the domain by listing all the x values from the relation. Find the range by listing all the y values from the ordered pairs. Repeated values within the domain or range don't have to be listed more than once. In order for a relation to be a function, each x must correspond with only one y value.

which means

There is not a function

because the domain value 10 is paired with both and 10 and 1

and the domain is 10,26,40,56

Answer:

1.

3.5 days

2.

6.75 minutes, 6 minutes 45 seconds, 6.8 minutes to 1 dp

Step-by-step explanation:

1.

With double the amount of tractors it will take half the time.

7 divided by 2 is 3.5

2.

This is an example of inverse proportion. The job that has to be done to to prepare the vegetables, That stays the same.

However, the more people there are to do the work, the quicker it will get done.

There is a constant to be found:

x multiplied by y equals k

3 x 45 = 135

For 20 people:

20 x y = 135

135 divided by 20 is:

6.75, or 6.8

Answer:

The first step that we are going to do is to solve the area of the top rectangle.  We are given a width of 15 cm and a length of 25 cm so we can just multiply them against each other to get the area.

[tex]Area = l * w[/tex]

[tex]Area = 25\ cm * 15\ cm[/tex]

[tex]Area = 375\ cm^2[/tex]

The second side that we are going to solve for is the bottom rectangle.  We are given a width of 12 cm and a length of 25 cm so lets just multiply them against each other to get the area.

[tex]Area = l * w[/tex]

[tex]Area = 25\ cm * 12\ cm[/tex]

[tex]Area = 300\ cm^2[/tex]

The next area that we are going to determine is the back rectangle which has a width of 9 cm and a length of 25 cm so lets just multiply them against each other to get the area.

[tex]Area = l * w[/tex]

[tex]Area = 25\ cm * 9\ cm[/tex]

[tex]Area = 225\ cm^2[/tex]

The final area that we have to determine are the side triangles.  After determining the area of one triangle we will have to multiply it by 2 to get the area for both of the triangles.  We are given a base of 12 cm and a height of 9 cm so lets just use the formula to find the area.

[tex]Area = \frac{1}{2}* b*h[/tex]

[tex]Area = \frac{1}{2}* 12\ cm*9\ cm[/tex]

[tex]Area = 54\ cm^2[/tex]

Multiply it by two to get the area for both of the triangles.

[tex]Area = 54\ cm^2 * 2[/tex]

[tex]Area = 108\ cm^2[/tex]

Finally, we are onto the last part which is to add up all of the areas and get the surface area after we combine everything.

[tex]Area_{total}=375\ cm^2 + 300\ cm^2 + 225\ cm^2 + 108\ cm^2[/tex]

[tex]Area_{total}=1008\ cm^2[/tex]

Therefore, our final answer is option B, 1008 [tex]cm^2[/tex]

Hope this helps!

The volume of the cylinder when its radius is tripled is 405π unit³.

The volume of the cylinder when its radius is tripled is calculated by applying the formula for volume of a cylinder as follows;

V = πr²h

where;

V₁/r₁² = V₂/r₂²

where;

V₁ is the initial volume = 45π unit³

r₁ = 3 units

when the radius is tripled, r₂ = 3r₁

V₁/r₁² = V₂/r₂²

V₂ = (V₁/r₁²) x r₂²

V₂ = (V₁/r₁²) x (3r₁)²

V₂ = 9V₁

V₂ = 9 x 45π unit³

V₂ = 405π unit³

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Answer:

89

Step-by-step explanation:

8, 8, 12, 41, 64, 97

We can clearly see that our highest value is 97, and our lowest in 8.

[tex]\qquad\qquad\huge\underline{{\sf Answer}}[/tex]

Let's evaluate ~

[tex]\qquad \sf  \dashrightarrow \:f(x) =- 8x + 14 + 15 {x}^{2} [/tex]

we have to find value of f(-3), so plug the value of x as -3 in the equation ~

[tex]\qquad \sf  \dashrightarrow \:f( - 3) =- 8( - 3) + 14 + 15 {( - 3)}^{2} [/tex]

[tex]\qquad \sf  \dashrightarrow \:f( - 3) = 24 + 14 + 15 {(9)}^{} [/tex]

[tex]\qquad \sf  \dashrightarrow \:f( - 3) = 38+ 135 [/tex]

[tex]\qquad \sf  \dashrightarrow \:f( - 3) = 173 [/tex]

I hope it's easy to understand now ~

f(-3):

[tex]\\ \rm\Rrightarrow 15x²-8x+14[/tex]

[tex]\\ \rm\Rrightarrow 15(-3)²-8(-3)+14[/tex]

[tex]\\ \rm\Rrightarrow 15(9)+24+14[/tex]

[tex]\\ \rm\Rrightarrow 135+38[/tex]

[tex]\\ \rm\Rrightarrow 173[/tex]

Answer + Step-by-step explanation:

a) GE = r = GM

Then GEO is an isosceles triangle

b) since GEO is an isosceles triangle  then :

m∠SEG = m∠GOM = measure of the arc GM (mGM)  (result 1)

On the other hand :

m∠SEG = m∠SEG = (1/2)×(mAS - mGM)  (it’s a formula)   (result 2)

Now ,we equate  (result 1) and  (result 2) :

m∠SEG = mGM  

m∠SEG = (1/2)×(mAS - mGM)

Then

mGM = (1/2)×(mAS - mGM)

c) mGM = (1/2)×(mAS - mGM)

⇔ 2mGM = mAS - mGM

⇔ 3mGM = mAS

⇔ 3m∠SEA = m∠SOA

Remember:

mGM = m∠GOM = m∠SEA

I need help too  cause i have a quiz for it to take please help me

Step-by-step explanation:

an account transaction log is simply a sequence of basic additions and subtractions.

he made a mistake in line 4 : $180 - $188 = -$8 and not $8.

he missed that this was going below zero and needed a "-" sign.

from there on everything else is wrong too (although the individual calculations are correct) - the balances are off by $16 (2×8 from -8 to +8) :

+$20 gave the real balance of $12 and not $28.

-$5.95 gave the real balance of $6.05 and not $22.05.