How do you check the apparent solution of the following systems of equations: x+3y=8, x-4y=-6

Answers

Answer 1

Answer:

x=2

y=2

Step-by-step explanation:

x+3y=8

- x-4y=-6

7y=14

y=14/7

y=2

x+3(2)=8

x+6=8

x=8-6

x=2

y=2

x=2


Related Questions

MATH Arithmetic QUESTION

Answers

Answer:

Point A

Step-by-step explanation:

It can be seen from the image that the chosen value for N is greater than zero but less than 1, i.e,

[tex]0 < n < 1[/tex]

The square of such numbers will always result values less than N since they're decimals with zeroes on the whole number parts.

Hence, the value for N squared will be in the region of Point A.

The square root of the cube of 4 is equal to
3 or 4 or 16 or 8 or 2

Answers

Answer:

Step-by-step explanation: 1.587401052

Answer:

8

Step-by-step explanation:

this means

[tex] \sqrt{ {4}^{3} } [/tex]

4³ = 4×4×4 = 64

the square root of 64 is 8.

Pls help this my last question!

Answers

Answer:

Step-by-step explanati

- |10+8l=-2

Billy had 55 stamps in his collection. Billy’s older brother Tommy had 73 stamps in his collection. How many stamps did the two brothers have together?

Answers

Answer:

128

Step-by-step explanation:

Billy has 55 stamps and his brother Tommy has 73. Add 73 and 55 together. 55+73=128

What part of the expression below should be calculated first 8 x {22 x [15 + (14 x 2)]} A 8+22. B 22×15. C 14x2. D 15+14.​

Answers

Answer:

14*2

Step-by-step explanation:

8 x {22 x [15 + (14 x 2)]}

With multiple parentheses work from the inside out

The inner most parentheses are

14*2

A culture started with 6000 becteria. after 4 hours it grew to 6600 becteria. Predict how many bacteria will be present after 10 hours. Round your answer to the nearest whole number. p=ae^kt

Answers

Answer:

  7614

Step-by-step explanation:

The exponential growth of the bacteria culture can be modeled by the equation ...

  p = a·b^(t/c)

where 'a' is the initial population, 'b' is the growth factor, and 'c' is the period over which that growth factor applies.

__

model

In the given scenario, we have ...

a = 6000 bacteriab = 6600/6000 = 1.1 . . . . growth factorc = 4 hours

So, our model is ...

  p = 6000·1.1^(t/4)

__

application

After 10 hours, the population is predicted to be ...

  p = 6000·1.1^(10/4) ≈ 7614

We predict 7614 bacteria will be present after 10 hours.

__

Additional comment

If we compare the form we used to the one suggested in the proglem statement, we see

p = 6000·1.1^(t/4)p = 6000·e^(kt)

For the bases of the exponential term to be the same, we must have ...

  1.1^(t/4) = e^(kt)

  (1.1^(1/4))^t = (e^k)^t . . . . . factor t from the exponent

  1.1^(1/4) = e^k . . . . . . . match the bases

  k = ln(1.1)/4 . . . . . take natural logs

  k ≈ 0.0238275

and the equation becomes ...

  p = 6000·e^(0.0238275t)

__

In terms of 'a', 'b', and 'c' used above, we find ...

  k = ln(b)/c

Help picture below problem 5

Answers

Answer:

option A is the correct answer!!

Step-by-step explanation:

mark me brainliest

A) angel OJP

Explanation

(name by its vertex, by the three points of the angle (the middle point must be the vertex),

Find the equation of the line that passes through points a and B. A(1 ,7) B(-3,-1)

Answers

Answer:

well i wrote it in paper nothing to explain it's ez

Using the digits 2, 4, and 6, write a number with a 4 in
the hundred thousands place and a 2 in the hundreds
place.

Answers

Answer:

624

Step-by-step explanation:

A company promises to release a new smartphone model every month. Each model's battery life will be 5% longer than the previous model's. If the current model's battery life is 663.0 minutes, what will the latest model's battery life be 7 months from now?​

Answers

Answer:

895.05

Step-by-step explanation:

5% of 663 is 33.15, so times 33.15 by the 7 months and the answer to that is 232.05 then add that to the current battier life.

The answer is 895.05

PLEASE HELP ILL GIVE EXTRA POINTS FOR ANSWER ⭐️⭐️⭐️‼️‼️

Answers

Answer:

d

Step-by-step explanation:

area=length ×width

156=13×w

w=156/13=?

P=2(l+w)

P=2(13+w)

What is the slope of the line with equation y-3=-1/2 (x-2)?

Answers

Hello!

This equation is written in Point-Slope Form (y-y₁=m(x-x₁)

Where

y₁=y-coordinate of the point

m=slope

x₁=x-coordinate of the point

In this case, the slope is

[tex]\boxed{\boxed{\bold{\frac{1}{2}}}}[/tex]

Hope everything is clear.

Let me know if you have any questions!

#KeepLearning

:-)

Answer:

C) 1/2

Step-by-step explanation:

woof woof

Please Help ASAP (show work if you want its not needed i just need the answer)

Answers

[tex] \cos(60) = \frac{12}{x} \\ [/tex]

[tex] \frac{1}{2} = \frac{12}{x} \\ [/tex]

[tex]x = 24[/tex]

_____________________________________________

[tex] \sin(60) = \frac{y}{x} \\ [/tex]

[tex] \frac{ \sqrt{3} }{2} = \frac{y}{24} \\ [/tex]

[tex]y = 12 \sqrt{3} [/tex]

. There is 40% decresed in price on a sale. It is futher decresed by 5% find the total decreased percentage​

Answers

Let x be the original price of the object.

After the 40% discount, the price of the object now becomes;

x-0.4x=0.6x

0.6x is our new price after the first discount.

Now if we want to find the price after the second discount, (5%)

That would come off to be;

0.6x-0.6(0.05)x=0.6x-0.03x=0.57x

Our last price is 0.57x

If you notice, there was a 43% discount in total, as it goes to 57% of its original price.

This is very non intuitive for some people, as they may think there will be a 45% discount.

The pair of figures to the right are similar. The area of one figure is given. Find the area of the other figure to the nearest whole number.

Answers

answer:

148ft²

explanation:

to solve this problem, we must set up a proportion.

[tex]\frac{side (L)}{area(L)} = \frac{side(S)}{area(S)} \\\frac{15}{185} = \frac{12}{x}[/tex]

15x=2220

x=148ft²

--

if this helped, please consider giving brainliest !

If ((x) = x2+ 3x - 2, find f(-2).

Answers

f(x) = x² + 3x - 2

f(-2) = (-2)² + 3*(2) - 2 = 4 - 6 - 2 = - 4

Help me please For your points! Thanks​

Answers

Answer:

Step-by-step explanation:

you will read the directions 2x before solving the problem then solve the problem

Which of the following equations has no solution?
1: 3x=5
2: 5x+7=3
3: 4x=9x
4: x=x−2

Answers

Answer:

4

Step-by-step explanation:

3x = 5:

x = 1 ⅔

5x + 7 = 3

5x = 3- 7

5x = -4

x = -⅘

4x = 9x

9x - 4x = 0

5x = 0

x = 0 / 5

x = 0

x = x - 2:

x -x = -2

0 = -2?

Answer:

4

Step-by-step explanation:

Its because x=x-2 =-2 subtract x from both sides and you get 0 so theres no solution and you get -2

how many terms of the geometric progression 6,12,24,......must be taken to get a sum of 49146​

Answers

Answer:

13

Step-by-step explanation:

the sum to n terms of a geometric sequence is

[tex]S_{n}[/tex] = [tex]\frac{a(r^{n}-1) }{r-1}[/tex]

where a is the first term and r the common ratio

here a = 6 , r = [tex]\frac{12}{6}[/tex] = 2 and [tex]S_{n}[/tex] = 49146 , then

[tex]\frac{6(2^{n}-1) }{2-1}[/tex] = 49146

6([tex]2^{n}[/tex] - 1) = 49146 ( divide both sides by 6 )

[tex]2^{n}[/tex] - 1 = 8191 ( add 1 to both sides )

[tex]2^{n}[/tex] = 8192 ( take log of both sides )

log [tex]2^{n}[/tex] = log 8192 , that is

n log 2 = log 8192 ( divide both sides by log 2 )

n = [tex]\frac{log8192}{log2}[/tex] = 13

Given G.P. :-

[tex]\sf 6,12,24,......[/tex][tex]\sf first \: term,a = 6[/tex][tex]\sf Sum,S_n = 49146 [/tex]

Solution:-

[tex]\red{ \underline { \boxed{ \sf{Common \: Ratio,r = \frac{any\:observed\:term}{previous\:term}}}}}[/tex]

[tex]\longrightarrow[/tex][tex]\sf Common \: Ratio,r = \frac{12}{6} [/tex]

[tex]\quad \boxed{\sf {Common \:Ratio,r = 2 }}[/tex]

Now,

[tex]\green{ \underline { \boxed{ \sf{Sum\: of \: G.P. \: to\: n\:term,S_n = \frac{a(r^n-1)}{r-1}}}}}[/tex]

where

a = first termr = common Ration= number of terms

Putting Values -

[tex]\begin{gathered}\\\implies\quad \sf 49146 = \frac{6(2^n-1)}{2-1} \\\end{gathered} [/tex]

[tex]\begin{gathered}\\\implies\quad \sf \frac{\cancel{49146}}{\cancel{6}} = \frac{2^n-1}{1} \\\end{gathered} [/tex]

[tex]\begin{gathered}\\\implies\quad \sf 8191= \frac{2^n-1}{1} \\\end{gathered} [/tex]

[tex]\begin{gathered}\\\implies\quad \sf 2^n-1 =8191 \\\end{gathered} [/tex]

[tex]\begin{gathered}\\\implies\quad \sf 2^n =8191+1 \\\end{gathered} [/tex]

[tex]\begin{gathered}\\\implies\quad \sf 2^n =8192 \\\end{gathered} [/tex]

[tex]\begin{gathered}\\\implies\quad \sf 2^n =2^{13}\quad(8192= 2^{13}) \\\end{gathered} [/tex]

Comparing powers on both sides-

[tex]\begin{gathered}\\\implies\quad \boxed{\sf{ n = 13}}\\\end{gathered} [/tex]

[tex]\longrightarrow[/tex]Therefore, to get a sum of 49146 , 13 terms of this G.P. should be taken.

Shares of company A are sold at $10 per share. Shares of company B are sold at $50 per share. According to a market analyst, 1 share of each company can either gain $1, with probability 0.5, or lose $1, with probability 0.5, independently of the other company. Which of the following portfolios has the lowest risk? a. 100 Shares of A
b. 50 shares of A + 10 shares of B
c. 40 shares of A + 12 shares of B

Answers

Answer:

b.

Step-by-step explanation: its 50 shares the to straiges you should use is multiplying or adding i used both bt its b.

Find the product. Simplify your answer.
(2w–1)(4w–2)

Answers

Answer:

8w² -8w +2

Step-by-step explanation:

(2w-1)(4w-2)

= 8w² -4w -4w + 2

= 8w² -8w +2

Which verb form correctly completes this sentence?

No estoy convencido de que ellos ___________ lo que significa esta fiesta.

A.
comprenden
B.
comprendemos
C.
comprendan
D.
comprendes

Answers

Es la letra C comprendan

The sum of two numbers is 35. The smaller number is 11 less than the larger number. What are the numbers?

Answers

You start by writing the equation; x + x - 11 = 35
Then you combine like terms giving 2x - 11 = 35
You solve for x resulting in x = 23

So the numbers would be 23 and 12

Answer:

12 & 23

Step-by-step explanation:

Let's make both of the statements into equations by making the numbers x & y.

"The sum of two numbers is 35" which means the two numbers added together is 35. So, x + y = 35.

"The smaller number is 11 less than the larger number." Let's make x the smaller number. So, x = y - 11.

So our equations are x + y = 35 and x = y -11. Using substitution, we can plug in (y-11) for x in the first equation.

y + y - 11 = 35. Combine the (y + y) to get 2y - 11 = 35. Add 11 to both sides of the equation, to get 2y = 46. Divide both sides by 2 to get y = 23.

Now, we can substitute 23 for y in either one of the equations, but I'm going to use the second one.  x = y - 11 or x = 23 - 11 which equals 12.

Your 2 numbers are 12 and 23. Hope this helps! :)

Simplify cos^4x+(2cos^2x)(sin^2x)+sin^4x

Answers

Answer:

cos4(x)+2cos2(x)sin2(x)+sin4(x)

Step-by-step explanation:

Help help help please please

Answers

Answer:

The answer would be A.

Step-by-step explanation:

The answer would be A because the line is going down in question B, meaning that it would be a negative slope so that would not be correct. X=1x meaning that the line goes up one and goes right one block.Both of the slopes have the same y-interceptThe less than or equal sign (< with a line) is pointing away from y, meaning y is less than or equal to x+5. This doesn't matter in this graph in particular though because the inequality sign used for both graphs are the same here.

José plotted points on a coordinate plane to represent the vertices of a rectangle. The first
two points José plotted are shown below.

Answers

Jose's rectangle must have equal and parallel opposite sides

The coordinates of the other points could be C(7,5) and D(7,1)

How to determine the other points?

The coordinates are given as;

A = (2,5).

B = (2,1).

To form a rectangle, each of the remaining points must have the same y-coordinates as points A and B.

So, we have:

C = (x,5)

D = (x,1)

Also, the remaining points must have the same x-coordinates.

i.e.

Cx = Dx

From the list of options, we have:

C(7,5) and D(7,1)

Hence, the coordinates of the other points could be C(7,5) and D(7,1)

Read more about rectangles at:

https://brainly.com/question/12500692

Find the difference of 7 2/3 and 6 3/7

Answers

Answer:

Fraction answer (about):
1 1/4

Decimal answer (about):
1.24


Step-by-step explanation:


7 2/3 - 6 3/7 =
1.2380952381

1.2380952381 = about 1.24

The difference between 7 2/3 and 6 3/7 = 1.24
1.24 in fraction form is about 1 1/4

Have a great rest of your day
#TheWizzer

Answer:26/21

Step-by-step explanation:

A chemist has one solution that is 20% alcohol and another that is 60% alcohol.
How much of each solution must the chemist use to get 200 mL of a solution that is 52%
alcohol?

Answers

Answer:

solution 1= 40ml

solution 2= 160ml

Step-by-step explanation:

%alcohol= amount of alcohol/total solutionx100

0.52x200=104ml of alcohol present

0.2x L=0.2Lml of alcohol in solution one

0.6 x M=0.6Mml of alcohol in solution two

1st equation

0.2L+0.6M=104ml alcohol

times 10 to get whole

2L+6M=1040ml

2nd

same for this equation

10L+10M=2000ml

10L+10M=2000

2L+6M=1040

elimination method

=20L+20M=4000

-

=20L+60M=10400

-40M=-6400

M=160ml

2L+6 (160)=1040

2L=1040-960

2L=80

L=40ml

where does leprechaun come from

Answers

Answer:

A leprechaun (Irish: leipreachán/luchorpán) is a diminutive supernatural being in Irish folklore, classed by some as a type of solitary fairy. They are usually depicted as little bearded men, wearing a coat and hat, who partake in mischief. In later times, they have been depicted as shoe-makers who have a hidden pot of gold at the end of the rainbow.

Answer:

Step-by-step explanation:

Find the volume of the triangular prism? (PLEASE HELP ILL MARK BRAINLIEST)

Answers

Answer:

▲ Base and height. This is the basic volume equation of a triangular prism: Volume = 0.5 * Base * Height * Length. ...

◣ Right triangle. Probably the most popular type of prism! ...

▲ 3 sides. Volume = 0.25 * √( (a+b+c) * (-a+b+c) * (a-b+c) * (a+b-c) ) * Length.

Step-by-step explanation:

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