Solve the following system: y = x 3 3x y = 19 (7, 4) (â’4, 7) (4, 7) (4, â’7).

Answers

Answer 1

The correct option is C. (4,7).

Given equations,

[tex]y=x+3....(1)\\3x+y=19....(2)[/tex]

We have to solve the equations.

From equation 1 put the value of y in equation 2 we get,

[tex]3x+x+3=19\\4x=16\\x=4\\[/tex]

Now putting the value of x in equation 1 we get,

[tex]y=4+3\\y=7[/tex]

Hence the required solution of the above equations is (4,7).

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Related Questions

what is the remainder of 14 divided by 54584

Answers

reminder is 12I hope so it's helpful

7
Setting 3 equal to which ratio would result in a valid proportion?
9
49
18
42
织但

Answers

Answer:

000

Step-by-step explanation:

000

How is karl Pearson coefficient of skewness is differ from bowley's coefficient?​

Answers

Answer:

where is the rest of the question??

Step-by-step explanation:

HI I NEED HELP WITH THIS QUESTION ASAP!!!!!! ITS URGENT PLEASE HELP


A group of rowdy teenagers near a wind turbine decide to place a pair of
pink shorts on the tip of one blade. They notice that the shorts are at its
maximum height of 16 metres at t = 10 s and its minimum height of 2 metres at
t = 25 s.

a) Determine the equation of the sinusoidal function that describes
the height of the shorts in terms of time.

b) Determine the height of the shorts at exactly t = 10 minutes, to
the nearest tenth of a metre.

Answers

a) The sinusoidal function is y = 7·sin(π/15(t - 2.5)) + 9

b) The height of the shorts at t =  10 minute is approximately 6 meters

The above answers were arrived at as follows

a) The general form of a sinusoidal equation is presented as follows;

y = A·sin(B(t - h)) + k

Where;

A = The amplitude of the graph of the function

The period, T = 2·π/B

h = The horizontal shift

k = The vertical shift

The maximum height of the blade = 16 meters

The minimum height of the blade  = 2 meters

The time the blade moves from maximum height to minimum height = 25 s - 10 s = 15 s

Therefore, the time it takes the blade to move from maximum height to minimum height, the period, T= 2 × 15 s = 30 s

Therefore;

B = 2·π/30 = π/15

B = π/15

When B·(t - h) = π/2, t = 10

Therefore;

(π/15)·(10 - h) = π/2

10 - h = 15/2

h = 10 - 15/2 = 2.5

The horizontal shift, h = 2.5

The amplitude, A = (Max - Min)/2

∴ A = (16 - 2)/2 = 7

A = 7

The vertical shift, k = Min - (-Amplitude)

∴ k = 2 - (-7) = 9

The vertical shift, k = 9 Up

Therefore, the equation of the sinusoidal equation that describes the height of shorts in terms of time is given by plugging in the values of the variables, A, B, h, and k to  get the following equation;

y = 7·sin(π/15·(t - 2.5)) + 9

b) The height of the shorts at exactly, t = 10 minutes = 600 seconds, is given as follows;

y = 7·sin(π/15·(t - 2.5)) + 9

10 minutes =  600 seconds

When t = 10 minutes = 600 seconds

y = 7·sin(π/15(600 - 2.5)) + 9 = 5.5 ≈ 6

The height of the shorts at exactly t = 10 minutes ≈ 6 meters.

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Given f(x) = - 3/4x + 2, find f(16).

Answers

Answer:

-10

Step-by-step explanation:

The rate of change is constant in each table. Find the rate of change. Explain what the rate of change means for the situation. (Help ASAP)
Is it a, b, c or d?

Answers

Answer:

C.

Step-by-step explanation:

212/4 = 53, so 53/1, or 53 miles are driven every hour.

Find f(-2).....................................

Answers

Answer:

1/25

Step-by-step explanation:

f(x) = 5^x

Let x = -2

f(-2) = 5^-2

We know a^-b = 1/a^b

f(-2) = 1/5^2

      = 1/25

Answer:

[tex]\frac{1}{25} [/tex]

Step-by-step explanation:

[tex]f(x) = {5}^{x} \\ f( - 2) \\ f( - 2) = {5}^{ - 2} \\ = \frac{1}{ {5}^{2} } \\ = \frac{1}{25} [/tex]

Audrey Baker bought 4 new tires for her
car. The cost of each tire was $75. The
Federal Excise tax was $5.10 per tire, and
the state sales tax was 7% of the cost of the
tires, excluding the excise tax. Find the
total cost of the tires.

Please show work

Answers

Answer:

the cost of the tire=341.4$

Find the distance between points (a,b) and Q -a,-b)​

Answers

Answer:

d = 2* sqrt(a^2 + b^2)

Step-by-step explanation:

Interesting question. You should begin by noting that 0 is not the answer although it looks like it should be.

P = (a,b)

Q= (-a,-b)

x1 = a

x2 = - a

y1 = b

y2 = - b

d = sqrt( (x2 - x1)^2 + (y2 - y1)^2 )

d = sqrt( (-a - a)^2 + (-b - b)^2  )

d = sqrt ( -2a)^2 + - (2b)^2 )

d = sqrt(4a^2 + 4b^3)

d = 2* sqrt(a^2 + b^2)

How many people can Liam buy lunch for

Answers

Answer:

At most, Liam can only buy lunch for 6 people.

Step-by-step explanation:

It isn't going to be a decimal answer because there can't be half of a person

All you have to do is divide 50 by 8 and round down because you don't want to spend more than 50 dollars.

Writing it mathematically, it would be:

p [tex]\leq[/tex] 6

Find an explicit rule for the nth term of the sequence.

The second and fifth terms of a geometric sequence are 20 and 1280, respectively.

Answers

Step-by-step explanation:

in a geometric sequence there is a constant factor x that is multiplied with every previous term to create the next one.

a2 = 20

a5 = 1280 = a2×x×x×x = a2×x³ = 20x³

64 = x³

x = 4

=> a1 = 5

therefore

an = an-1×4 =

[tex]a1 \times {4}^{n - 1} [/tex]

n > 1

Determine what type of model best fits the given situation: the temperature of a cup of coffee decreases by 5 F every 20 minutes.

A. liner
B. exponential
C. quadratic
D. none of these

Answers

Answer: T = -t / 4 + T0   where t is the temperature in minutes elapsed, T is the final temperature, and T0 is the initial temperature

Explanation: This is a linear equation in T and t

(-1 / 4 represents -5 deg / 20 min  = - 1 deg / 4min

Find the volume of a sphere with a diameter of 15 cm

Answers

Answer:

V= 562.5 pi cm^3 or approximately 1766.25 cm^3

Step-by-step explanation:

If the diameter is 15, the radius is d/2 = 15/2 = 7.5

The volume of a sphere is

V = 4/3 pi r^3

V = 4/3 ( pi ) (7.5) ^3

V= 562.5 pi

If we use the approximation of 3.14 for pi

V = 1766.25 cm^3

Explain how the Quotient of Powers Property was used to simplify this expression. 5 to the fourth power, over 25 = 52

Answers

5^4/25 = 52
The quotient law states that x^m divided by x^n = x^m-n, so I think ;

We first change 25 to 5^ 2
Therefore,
5^4/5^2 = 52

5^4-2 =52

5^2 = 52

Then we change the sum to logarithmic form, which is b^x=y is the same as log (base) b (y)= x

So,
Log (base) 5 (52)= 2

Use the calculator to find the value of the log on your left and the answer is:

2.45504.... = 2

Therefore 2 (to the nearest whole number) = 2



If f(x) = 3x2 - 7x, what is the ordered pair for x = 1 ?
A (1.4)
B (1,-4)
C (1,7)
D(1,10)

Answers

Answer:

b option is the weight answer I think.

- 5x + x - 6x²
6x3 - 4 - 5 + 6x3 - 3x3

Answers

Is this all one equation?

If it isn't, here:

-6x ^ 2 - 4x <-- Equation 1

18 - 9 + 18 - 9 = 18 <-- Equation 2

If it is:

-5x + x - 6x ^ 2 + 6 * 3 - 4 - 5 + 18 - 9

-4x - 6x ^ 2 + 18 - 9 + 18 - 9

-4x - 6x ^ 2 + 18

Then we order it

-6x ^ 2 - 4x + 18

You and six friends play on a basketball team. A sponsor paid $100 for the league fee, x dollars for each player’s T-shirt, and $68.25 for trophies. Write an expression for the total amount paid by the sponsor

Answers

Answer:

Total amount paid by the sponsor = 175 + 6d

Step-by-step explanation:

You and 5 friends = 6 people

Cost of renting a bus = $75

Team entry fee = $100

Cost of each student t shirts = $d

Cost of 6 student t shirts = $d × 6= $6d

Write an expression for the total amount the sponsor paid.

Total amount paid by the sponsor = Cost of renting a bus + Team entry fee + Cost of 6 student t shirts

= $75 + $100 + $6d

= $175 + $6d

Total amount paid by the sponsor = 175 + 6d

Where,

d = cost of each student t shirts

Find the value of x.

Answers

Answer:

x = 110°

Step-by-step explanation:

The Outside Angle Theorem states that the measure of the angle formed by two secants or a secant and tangent from a point outside of a circle is half the difference between the two arcs.

This means that ½ (210 – x) = 50.

½ ( 210 – x ) × 2 = 50 × 2

210 – x = 100.

210 – x + x = 100 + x.

210 = 100 + x.

100 + x = 210.

100 + x – 100 = 210 – 100.

x = 110.

This value must be true because:

½ ( 210 – 110 ) = 50.

½ ( 100 ) = 50.

50 = 50.

Please hurry I will mark you brainliest

It's a hot summer
day and the icecream truck is on it's way. The driver gives you two options:
1) You can have a cone that is doubled in radius but the same height as a regular cone.

OR

2) You can have a cone that is doubled in height but the same radius as a regular cone.

Which would you choose and why?
You can explain it or attach a picture of your work.

Answers

Answer:

Volume of a cone - πr^2(h/3)

Step-by-step explanation:

If radius doubled - π2r^2(h/3)

If height doubled - πr^2(2h/2)

Let's assume r and h to be 1.

Radius doubled = 2π(1/3) = 2.09439510239 (volume)

Height doubled = π(2/3) = 2.09439510239 (volume)

If radius and height equal for 1, does it mean it is equal for other values too?

Let's use 2 instead of 1 and find out:

8π(2/3) - Option 1

8π(2/3) - Option 2

Both are the same...

Answer:

2x on the radius...

Vol = [tex]\frac{1}{3} \pi r^{2} h[/tex]  

[tex]\frac{1}{3} \pi[/tex] is constant (in this story)

[tex](2r)^{2}[/tex]  vs. 2h   ... the     [tex](2r)^{2}[/tex] will most likely be bigger...

I say most likely because if the cone radius was super small and

the height was super long (like a straw, or a piece of spaghetti)

then the 2x on the height actually can be better  

Step-by-step explanation:

Need help! Please answer quickly! :)

Answers

Answer: a

Step-by-step explanation:

I'LL GIVE BRAINLIEST !!!! FASTERR

please explain how do you get the answer !​

Answers

Answer:

i) 37

ii) 120

iii) 157

Explanation:

i)

BCA = 180-ACD (Linear Pair)

BCA=180-60

BCA = 120

23+x+BCA=180

143+x=180 (Angle sum property)

x=37

ii) Since triangle ABD is equilateral all of its angles are 60

y+ADC=180

y = 180-ADC (Angles on straight line adds upto 180)

y=180-60

y = 120

iii) Using the values from part i and ii

x+y = 120+37

= 157

Must click thanks and mark brainliest

Susan wants to make pumpkin bread and zucchini bread for the school bake sale. She has 15 eggs and 16 cups of flour in her pantry. Her recipe for one loaf of pumpkin bread uses 2 eggs and 3 cups of flour. Her recipe for one loaf of zucchini bread uses 3 eggs and 4 cups of flour. She plans to sell pumpkin bread loaves for $5 each and zucchini bread loaves for $4 each. Susan wants to maximize the money raised at the bake sale. Let x represent the number of loaves of pumpkin bread and y represent the number of loaves of zucchini bread Susan bakes. What is the objective function for the problem

Answers

Answer:

Objective Function z

z =  5*x  +  4*y .       to maximize

Step-by-step explanation:

                           eggs             flour

P. Bread    (x)        2                   3

Z. Bread .   (y)       3                  4

Availability .        15                 16

Constraints.

Eggs availability .  15

2*x + 3*y ≤ 15

Flour availability 16 cups

3*x + 4*y ≤16

Objective Function z

z =  5*x  +  4*y .       to maximize

The model:

z =  5*x  +  4*y .       to maximize

Subject to:

2*x + 3*y ≤ 15

3*x + 4*y ≤16

x ≥ 0  y  ≥ 0 .  integers

Answer: C

Step-by-step explanation:

Correct on edg 2020

* if my savings of $x grows 10% each year how much money would i have in 1 year

I WILL MARK BRAINLIEST

Answers

Answer:

10/100*$x

Step-by-step explanation:

You will multiply the $x by 10%

simplify the radical expressions pleaseeeeee help I haven’t done algebra in 2 years

Answers

For the first one, simplify the radicals. The 3 root 8 can be rewritten as 3 root 4 root 2, which turns into 6 root 2. The 4 root 3 can’t be simplified, so just multiply. 6*4=24 and the root 2*root 3 turns into root 6. So your answer for the first one is 24 root 6.

For the next one you can’t have a radical in the denominator so just multiply by root 3/ root 3, which gives you 6 root 3/3 which simplifies into 2 root 3.

A merry-go-round has 25 horses. Each horse
is labeled consecutively with a letter from A to
Y-the first horse is labeled A, the second
horse is labeled B, and so on. A child walks
around the merry-go-round, starting at horse
A and continuing in alphabetical order,
counting as she goes. She stops at the 337th
horse. What is the letter of that horse?
A. A
B. J
C. K
D. L
E. M

Answers

Answer:

M

Step-by-step explanation:

337 / 25 = 13.48

Round to the nearest whole number = 13

The 13th letter of the alphabet is m, so:

The answer is M.

If a bicyclist rides for 100 minutes at an average speed of 14 miles per hour, how far was the ride, to 1 decimal place?

Answers

Answer:

23.3 miles

Step-by-step explanation:

- convert 1hour = 60minutes

14 miles per 1 hour , is the same as

14 miles per 60 minutes

-write an equivalent fraction to keep the proportion

14 miles/60 minutes = ? miles / 100 minutes

-cross multiply , and divide by 60

? = (14*100) / 60 = 23. 3333333...

-round to 1 decimal place

23.3 miles

A circle is represented by the equation below:

(x − 9)2 + (y + 8)2 = 16

Which statement is true?

a) The circle is centered at (−9, 8) and has a radius of 8.
b) The circle is centered at (9, −8) and has a diameter of 8.
c) The circle is centered at (9, −8) and has a radius of 8.
d) The circle is centered at (−9, 8) and has a diameter of 8.

Answers

Answer:

The center is (9,-8) and the diameter is 8

Step-by-step explanation:

(x − 9)^2 + (y + 8)^2 = 16

A circle is in the form

(x − h)^2 + (y -k)^2 = r^2  where (h,k) is the center and r is the radius

(x − 9)^2 + (y -  -8)^2 = 4^2  

The center is (9,-8) and the radius is 4

The diameter is 2 times the radius so the diameter is 8

The center is (9,-8) and the diameter is 8

What is the total surface area (including the area of the floor) of a building shaped as a hemisphere with radius 106 ft ?

Round your answer to the nearest whole number.

Answers

Answer:

105897 ft²

Step-by-step explanation:

let, r be the radius, so r = 106 ft

Surface area of a hemisphere,

2πr²+πr²

= 2π×106²+π×106²

= 105897 (rounded to the nearest whole number)

find the missing side of the triangle​

Answers

Answer:

25

Step-by-step explanation:

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

[tex]24^2 + 7^2 = x^2[/tex]

[tex]576 + 49 = x^2[/tex]

[tex]x ^ 2 = 625[/tex]

[tex]x = 25[/tex]

Answer:

Using Pythagoras theorem: [tex]a^{2} +b^{2} =c^{2}[/tex]

[tex](x)^{2} =(24)^{2}+(7)^{2}[/tex]

[tex]x^{2} =576+49=625[/tex]

[tex]x=\sqrt{625} =25[/tex]

[tex]x=25[/tex]

OAmalOHopeO

what if 7 dogs are in a room a man with a dog coms in and takes two and leaves his which has 3 pups how many dong are there

Answers

Answer:

8

Step-by-step explanation:

7 - 2 + 3 = 8

Answer:

9

Step-by-step explanation:

9 / 7 - 2 = 5 + 3 = 8 plus the Dog the man left behind, it would be 9

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