Which of the following is a solution to 6x - 5y=4?
(2,7)
(-1, -2)
(-2, -1)
(2, -7)

Answers

Answer 1

Answer:

2,7

Step-by-step explanation:

Answer 2

Answer:

(-1,-2)

Step-by-step explanation:

(6 x -1) -(-2 x 5) = 4

-6 + 10 = 4


Related Questions

Absolute Value Equations

Answers

Answer:

4 is E, 5 is A

Step-by-step explanation:

4) Divide both sides by 5 to get |2x + 1| = 11, then solve for x to get 5 and -6.

5) Add 7 to both sides to get ½|4x - 8| = 10. Multiply both sides by 2 to get |4x - 8| = 20, then solve for x to get 7 and -3.

It's camping season! Ernie and Bert set up their tents 15 m from
each other. Ernie has Tent 1 and Bert has Tent 2. The angle
between the line of sight from Bert's tent to the shower and the
line of sight from Bert's tent to Ernie's tent is 78 degrees. If
Ernie's tent is 19m away from the shower, is Bert 's tent closer or
further away from the shower and by how much? In your
calculations, round your angles to the nearest whole degree and
side measurements to the nearest tenth of a metre.
1
2

Answers

Answer:

The answer is "21.6".

Step-by-step explanation:

Let A stand for tent 1

Let B stand for tent 2

Let C be a shower

Using cosine formula:  

[tex]c= \sqrt{b^2 +a^2 - 2ab\cdot \cos(C)}\\\\[/tex]

  [tex]= \sqrt{(19)^2 + (15)^2 - 2\cdot 19 \cdot 15 \cdot \cos(78^{\circ})}\\\\= \sqrt{361 + 225 - 570\cdot \cos(78^{\circ})}\\\\ = \sqrt{586- 570\cdot \cos(78^{\circ})}\\\\= 21.6\\\\[/tex]

Therefore, you need to reduce the similarity from B to C which is the length from tent 2 to shower:

Tent 2 Distance to Dusk = 21.6m

Bert's tent is 21.6m away from the shower

According to the Fundamental Theorem of Algebra, which polynomial function has exactly 8 roots?
PLS HELP IM TIMED

Answers

Answer:

Option (1)

Step-by-step explanation:

Fundamental theorem of Algebra states degree of the polynomial defines the number of roots of the polynomial.

8 roots means degree of the polynomial = 8

Option (1)

f(x) = (3x² - 4x - 5)(2x⁶- 5)

When we multiply (3x²) and (2x⁶),

(3x²)(2x⁶) = 6x⁸

Therefore, degree of the polynomial = 8

And number of roots = 8

Option (2)

f(x) = (3x⁴ + 2x)⁴

By solving the expression,

Leading term of the polynomial = (3x⁴)⁴

                                                     = 81x¹⁶

Therefore, degree of the polynomial = 16

And number of roots = 16

Option (3)

f(x) = (4x² - 7)³

Leading term of the polynomial = (4x²)³

                                                    = 64x⁶

Degree of the polynomial = 6

Number of roots = 6

Option (4)

f(x) = (6x⁸ - 4x⁵ - 1)(3x² - 4)

By simplifying the expression,

Leading term of the polynomial = (6x⁸)(3x²)

                                                     = 18x¹⁰

Degree of the polynomial = 10

Therefore, number of roots = 10

Two containers designed to hold water are side by side, both in the shape of a
cylinder. Container A has a diameter of 10 feet and a height of 8 feet. Container B has
a diameter of 12 feet and a height of 6 feet. Container A is full of water and the water
is pumped into Container B until Container A is empty.
To the nearest tenth, what is the percent of Container B that is empty after the
pumping is complete?
Container A
play
Container B
10
d12
8
h6
O

Answers

Answer: Volume of Cylinder A is                          pi times the area of the base times the height

                                                             π r2 h = (3.1416)(4)(4)(15) = 753.98 ft3

Volume of Cylinder B is likewise             pi times the area of the base times the height

                                                             π r2 h = (3.1416)(6)(6)(7)   = 791.68 ft3

After pumping all of Cyl A into Cyl B

there will remain empty space in B         791.68 – 753.98 = 37.7 ft3  

The percentage this empty space is

of the entire volume is                            37.7 / 791.68 = 0.0476 which is 4.8% when rounded to the nearest tenth  

.

Step-by-step explanation: I hope that help you.

Answer:  7.4%

Note: you may not need to type in the percent sign.

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

Explanation:

Let's find the volume of water in container A.

Use the cylinder volume formula to get

V = pi*r^2*h

V = pi*5^2*8

V = 200pi

The full capacity of tank A is 200pi cubic feet, and this is the amount of water in the tank since it's completely full.

We have 200pi cubic feet of water transfer to tank B. We'll keep this value in mind for later.

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

Now find the volume of cylinder B

V = pi*r^2*h

V = pi*6^2*6

V = 216pi

Despite being shorter, tank B can hold more water (since it's more wider).

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

Now divide the results of each section

(200pi)/(216pi) = 200/216 = 25/27 = 0.9259 = 92.59%

This shows us that 92.59% of tank B is 200pi cubic feet of water.

In other words, when all of tank A goes into tank B, we'll have tank B roughly 92.59% full.

This means the percentage of empty space (aka air) in tank B at this point is approximately 100% - 92.59% = 7.41%

Then finally, this value rounds to 7.4% when rounding to the nearest tenth of a percent.

please answer quickly!! and no links please!

Answers

Step-by-step explanation:

here are the answers for your problems

Write the equation of the line for the graph shown below, please

Answers

Answer:

Given the proposed interrogate, as well as the graph provided, the correct answer is B. Y = 1/2 x + 4

Step-by-step explanation:

To evaluate such, a comprehension of linear Cartesian planes are obligated:

Slopes = rise/run

X- intercept: The peculiar point in which linear data is observed to intersect the x-axis.

Y- intercept: The peculiar point in which linear data is observed to intersect the y-axis.

Slope: 1/2 as for every individual space endeavored, a space of 2 to the right is required.

Y- intercept: (4,0)

Thus, the ameliorated answer to such interrogate is acknowledged as B. Y = 1/2 x + 4.

*I hope this helps.

For this question it’s asking for it in slope intercept form. So all you need to find is the slope and the y intercept.To find the y int look at where the line passes y. In this case it is y=4, then find slope by finding change in y/ change once which is 1/2, so you get y=1/2x+4

If you have a right triangle with legs a =6 and b= 8, what is the value of the hypotenuse? show work.

Answers

Answer:

10

Step-by-step explanation:

1. [tex]6^{2} + 8^{2} = c^{2}[/tex]

2 [tex]100 = c^{2}[/tex]

3. c = 10

Which expressions are equivalent to -7+3(-4e-3)

Choose all answers that apply:
A. -4(3e+4)
B. 12e
C. None of the above

Answers

Answer: A

-4(3e+4)=

-12e-16

Step-by-step explanation:

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

-7-12e-9=

-12e-16


1. One half of a number added to a second
number equals 4. One half of the first
number decreased by the second number
equals zero. Find the two numbers.

Answers

Answer:

(4, 2)

Step-by-step explanation:

½x + y = 4

y = 4 - ½x

½x - y = 0

½x - (4 - ½x) = 0

½x - 4 + ½x = 0

x = 4

y = 4 - ½(4)

y = 2

What is the equation of the line that passes through the point (-4, 2) and has a
slope of -2?

Answers

Step-by-step explanation:

use the equation of the straight line

y-y1=m (x-x1)

y-2=-2(x+4)

y-2= -2x-8

y= -2x-8+2

y= -2x-6

I hope this helps

Determine the type of quadrilateral given the following coordinates. Show and explain all steps to prove your answer. A(2, 3) B(-1, 4) C(0, 2) D(-3, 3)

Answers

Answer:

The quadrilateral is a parallelogram

Step-by-step explanation:

If you plot the points on the graph it resembles the shape of a parallelogram. It prove this you need to check if the lengths are correct. The slope between point A and point B is 1/3 and the slope between point C and point D is also 1.3. The slope between point B and D is 1/2 and the slope between point A and point C is also 1/2

hope this helps

The quadrilateral is a parallelogram from the graph and the coordinates formed are parallel and the opposite sides have equal length.

What is a parallelogram?

A parallelogram is a quadrilateral whose opposite sides are parallel and equal in length. The opposite angles of a parallelogram are equal. The diagonals of a parallelogram bisect each other.

For the given situation,

The coordinates are A(2, 3) B(-1, 4) C(0, 2) D(-3, 3).

The graph below shows these points on the coordinates and the points ABDC forms the parallelogram.

This can be proved by finding the distance between these points.

The formula of distance between two points is

[tex]AB=\sqrt{(x2-x1)^{2}+ (y2-y1)^{2}}[/tex]

Distance AB is

⇒ [tex]AB=\sqrt{(-1-2)^{2}+ (4-3)^{2}}[/tex]

⇒ [tex]AB=\sqrt{(-3)^{2}+ (1)^{2}}[/tex]

⇒ [tex]AB=\sqrt{9+ 1}[/tex]

⇒ [tex]AB=\sqrt{10}[/tex]

Distance BD is

⇒ [tex]BD=\sqrt{(-3+1)^{2}+ (3-4)^{2}}[/tex]

⇒ [tex]BD=\sqrt{(-2)^{2}+ (-1)^{2}}[/tex]

⇒ [tex]BD=\sqrt{4+ 1}[/tex]

⇒ [tex]BD=\sqrt{5}[/tex]

Distance DC is

⇒ [tex]DC=\sqrt{(0+3)^{2}+ (3-2)^{2}}[/tex]

⇒ [tex]DC=\sqrt{(3)^{2}+ (1)^{2}}[/tex]

⇒ [tex]DC=\sqrt{9+ 1}[/tex]

⇒ [tex]DC=\sqrt{10}[/tex]

Distance CA is

⇒ [tex]CA=\sqrt{(2-0)^{2}+ (3-2)^{2}}[/tex]

⇒ [tex]CA=\sqrt{(2)^{2}+ (1)^{2}}[/tex]

⇒ [tex]CA=\sqrt{4+ 1}[/tex]

⇒ [tex]CA=\sqrt{5}[/tex]

Thus the lengths of the opposite sides are equal, the given points forms the parallelogram.

Hence we can conclude that the quadrilateral is a parallelogram from the graph and the coordinates formed are parallel and the opposite sides have equal length.

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How long will it take for a home improvement loan for 22,800to earn interest of 608.00at 8 %ordinary interest

Answers

9514 1404 393

Answer:

  120 days

Step-by-step explanation:

Using the formula for simple interest, we can solve for t:

  I = Prt

  t = I/(Pr) = 608/(22800×.08) = 608/1824 = 1/3 . . . . year

For "ordinary interest", a year is considered to be 360 days, so 1/3 year is ...

  (1/3)(360 days) = 120 days

It will take 120 days for the loan to earn 608 in interest.

Javier jogs 3/4 of a mile in 8/1/2 minutes.

If he keeps the same pace, how many minutes will it take him to jog 1 mile?

Answers

Answer:

11 1/3 minutes per mile.

Step-by-step explanation:

3/4 miles jogged in 8 1/2 minutes.

So 1 mile jogged in: 8 1/2 divided by 3/4 = 8 1/2 x 4/3  = (17 x 4) / (2 x 3) = 11 1/3 minutes per mile

Answer:

x = 11 1/3 minutes

Step-by-step explanation:

We can write a ratio to solve

3/4 mile              1 mile

----------------- = --------------

8 1/2 minutes        x minutes

Using cross products

3/4 *x = 8 1/2

Multiply each side by 4/3

4/3 * 3/4x = 8 1/2 * 4/3

x = 17/2 * 4/3

x = 34/3

x = 11 1/3

The side length of an equilateral triangle is x + 3. Write an expression for the perimeter of the triangle. *

Answers

Answer:

Perimeter = (x+3) * 3 =    3x+9

Step-by-step explanation:

(x+3) would be multiplied by 3 in order to account for each of the three sides of the equilateral triangle-

The expression for the perimeter of the triangle is 3x+9.To find the expression for the perimeter of the triangle.

What is the perimeter?

Perimeter is the distance around the edge of a shape. The continuous line forms the boundary of a closed geometrical figure.In an equilateral triangle, all 3 sides are the same length, so the equation would look something like this:

P=the perimeter of the triangle

(x+3)=length of each side

P=3(x+3)

To simplify further, distribute the 3 to both the x and the 3 inside of the parentheses, getting

P=3x+9.

So, the expression for the perimeter of the triangle is 3x+9.

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PLZZZZZZ HELP WILL GIVE BRAIN THING AND EXTRA POINTS !What is the least common denominator of the rational expressions below? ​

Answers

Answer:

D is the least common denominator

If in 1 month you can make 6 carpets, how many days will it take for making 10 carpets?

Si en 1 mes puedes hacer 6 alfombras, ¿cuántos días se necesitarán para hacer 10 alfombras?

Answers

Step-by-step explanation:

6 carpets=1month

10 carpets=?

1month=31 days

10 /6*31

51

Step-by-step explanatio

I need help with this​

Answers

Answer: 13.5 Okay! Here's the method count the legs of the right triangle

The formula we'll use will be

A^2 + B^2 = C^2

In this case we're counting by twos

The base is 11 so we times it by itself =110

The leg is 8.5 so we going to times itself to make 72.25 add those together so 110+ 72.25 = 182.25 then we \|-----

182.25

Then you have got ur answer of 13.5

Step-by-step explanation:

Which table has a constant of proportionality between y and x equal to 0.3?

Answers

Answer:

C

Step-by-step explanation:

you can divide y/x

1.2/4= 0.3

2.4/8= 0.3

3.9/13= 0.3

The following data show the number of candies in 15 different bags.
35, 48, 36, 48, 43, 37, 43, 39, 45, 46, 40, 35, 50, 38, 48

Answers

Answer:

How should we proceed with this question

The gradient of a straight line passes through points (6,0) and (0,q) is -3/2. Find the value of q​

Answers

Answer:

Step-by-step explanation:

gradient is essentially the slope of a straight line.  

Use (y2-y1)/(x2-x1):

(q-0)/(0-6) = -3/2

q = 9

the expectation students often have when doing the coin flip experiment is that thye will flip exactly 5 heads and 5 tails because there is 50% chance of flipping each. Is this a realistic expectation

Answers

Answer:

No

Explanation:

A coin which has a head and a tail has 1/2 probability of each which is a 50% chance of getting either a head or a tail. This means that given two sides of a coin, probability looks at the number of favorable outcomes and total number of outcomes, a formula that reflects a pattern seen in past experiences. Probability isn't absolute but relative. When we say there is a 50% chance of getting a head in a coin flip, it is relative to past experiences but doesn't assure of particular future occurrences regarding the coin flip.

Evaluating functions (pic attached)

Answers

f(x) = 2x³ - 3x² + 7

f(-1) = 2(-1)³ - 3(-1)² + 7

=> f(-1) = 2(-1) - 3(1) + 7

=> f(-1) = -2 -3 + 7

=> f(-1) = 2

f(1) = 2(1)³ - 3(1)² + 7

=> f(1) = 2(1) - 3(1) + 7

=> f(1) = 2 -3 + 7

=> f(1) = 6

f(2) = 2(2)³ - 3(2)² + 7

=> f(2) = 2(8) - 3(4) + 7

=> f(2) = 16 - 12 + 7

=> f(2) = 11

How far can you travel in 19 hours at 63 mph

Answers

Answer:

1197 miles.

Step by step explanation:

Speed(s) = 63 mph

Time(t) = 19 hours

Distance(d) = ?

We know,

D = S × T

= 63 × 19

= 1197 miles

Danielle needs to walk 3 miles. If she wants to reach her destination in 45
minutes ( hour), how fast does she need to walk?
A. 135 miles
per hour
B. 2.25 miles per hour
C. 15 miles per hour
D. 4 miles per hour

Answers

Answer:

4 miles per hour

Step-by-step explanation:

3 miles

Change the 45 minutes to hours

45 minutes * 1 hour/60 minutes = 3/4 hour

3 miles ÷ 3/4 hour

Copy dot flip

3 * 4/3

4 miles per hour

Given the function, calculate the following values: ​

Answers

Answer:

Step-by-step explanation:

Solve the equation 10 + y√ = 14

Answers

9514 1404 393

Answer:

  y = 16

Step-by-step explanation:

Perhaps you want to solve ...

  10 +√y = 14

  √y = 4 . . . . . . subtract 10

  y = = 16 . . . square both sides

Camille is attending a fundraiser. She pays for her admission and buys raffle tickets for $5dollar each. If she buys 10 raffle tickets, then she would spend a total of $135 at the fundraiser.
The number S of dollars Camille spends at the fundraiser is a function of r, the number of raffle tickets she buys.
Write the function's formula.

Answers

Answer:

50r + a = 135

Admission cost was $85

Step-by-step explanation:

We are missing a crucial amount of information here. It is how much she spent on her admission. We can create an equation symbolizing this problem.

5r + a = 135

We know that she purchases 10 tickets so we can substitute that in r and solve for a.

50 + a = 135

a = 85

Best of Luck!

Please answer this question. Will give brainiest fast

Answers

Answer: The answer is C the one you chose

David can receive one of the following two payment streams:

i. 100 at time 0, 200 at time n, and 300 at time 2n
ii. 600 at time 1 0

At an annual effective interest rate of i, the present values of the two streams arc equal. Given v^n = 0.75941.

Determine i.

Answers

Answer:

3.51%

Step-by-step explanation:

From the given information:

For the first stream, the present value can be computed as:

[tex]= 100 +\dfrac{200}{(1+i)^n}+ \dfrac{300}{(1+i)^{2n}}[/tex]

Present value for the second stream is:

[tex]=\dfrac{600}{(1+i)^{10}}[/tex]

Relating the above two equations together;

[tex]100 +\dfrac{200}{(1+i)^n}+ \dfrac{300}{(1+i)^{2n}} =\dfrac{600}{(1+i)^{10}}[/tex]

consider [tex]v = \dfrac{1}{1+i}[/tex], Then:

[tex]\implies 100+200v^n + 300v^{2n} = 600 v^{10}[/tex]

where:

[tex]v^n = 0.75941[/tex]

Now;

[tex]\implies 100+200(0.75941) + 300(0.75941))^2 = 600 (v)^{10}[/tex]

[tex](v)^{10} = \dfrac{100+200(0.75941) + 300(0.75941))^2 }{600}[/tex]

[tex](v)^{10} = 0.7082[/tex]

[tex](v) = \sqrt[10]{0.7082}[/tex]

v = 0.9661

Recall that:

[tex]v = \dfrac{1}{1+i}[/tex]

We can say that:

[tex]\dfrac{1}{1+i} = 0.9661[/tex]

[tex]1 = 0.9661(1+i) \\ \\ 0.9661 + 0.9661 i = 1 \\ \\ 0.9661 i = 1 - 0.9661 \\ \\ 0.9661 i = 0.0339 \\ \\ i = \dfrac{0.0339}{0.9661} \\ \\ i = 0.0351 \\ \\ \mathbf{i = 3.51\%}[/tex]

Select the correct answer.
The Richter scale measures the magnitude, M, of an earthquake as a function of its intensity, I, and the intensity of a reference earthquake,
M= log (I/I)
.Which equation calculates the magnitude of an earthquake with an intensity 10,000 times that of the reference earthquake?

Answers

Answer:

[tex]M = \log(10000)[/tex]

Step-by-step explanation:

Given

[tex]M = \log(\frac{I}{I_o})[/tex]

[tex]I = 10000I_o[/tex] ---- intensity is 10000 times reference earthquake

Required

The resulting equation

We have:

[tex]M = \log(\frac{I}{I_o})[/tex]

Substitute the right values

[tex]M = \log(\frac{10000I_o}{I_o})[/tex]

[tex]M = \log(10000)[/tex]

The equation that calculates the magnitude of an earthquake with an intensity 10,000 times that of the reference earthquake is A. M = ㏒10000

Since the magnitude of an earthquake on the Richter sscale is M = ㏒(I/I₀) where

I = intensity of eartquake and I₀ = reference earthquake intensity.

Since we require the magnitude when the intensity is 10,000 times the reference intensity, we have that I = 10000I₀.

Magnitude of earthquake

So, substituting these into the equation for M, we have

M = ㏒(I/I₀)

M = ㏒(10000I₀./I₀)

M = ㏒10000

So, the equation that calculates the magnitude of an earthquake with an intensity 10,000 times that of the reference earthquake is A. M = ㏒10000

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