Check the consistency of 2x-3y=7 and x-2y+1=0

Answers

Answer 1

Answer:

x = 17, y = 9

or as an ordered pair, (17, 9).

The equations are consistent.

Step-by-step explanation:

2x - 3y = 7

x - 2y  = -1        Multiply this equation by -2:

-2x + 4y = 2     Add this to the first equation:

y = 9.

Plug y = 9 into the second equation:

x - 2*9 = -1

x = -1 + 18 = 17.


Related Questions

The diameter of a circle is __________.

A. The distance around the circle
B. The distance from the center point to any edge of the circle
C. The distance across the circle that cuts it in half.
D. The same as its circumference

Answers

Answer:

The answer is C

Step-by-step explanation:

Answer: The answer is C

Gracie has 1/2 of a cantaloupe that she wants to divide. How many 's 1/8 of a cantaloupe are there in 1/2 of a cantaloupe?

Answers

Answer:

4/8

Step-by-step explanation:

Dividing a whole cantaloupe into eighths will give you 8/8 or 1. When it is cut in half then divided there is one half of 8/8 or there are 4/8 in one half. This is true because 1/2 and 4/8 are equal terms.

Hope this helps!

You want the volume of the box to be 9 cubic inches.

Find the rational solution(s) of the equation. Then use polynomial long division to find the other solution(s).

What are the possible side lengths of the box?

Answers

Answer: x^3

Step-by-step explanation: it has no cube so its 3^x or x^3

Tell whether each outcome is impossible, unlikely, as
likely as not, likely, or certain. Then write the probability
in simplest form.
1.choosing a red crayon from a box of 24 different colored
crayons, including 8 red crayons

Answers

Answer: likely, pls mark me as brainliest if it helped u

Step-by-step explanation:


Simplify (3v5+8v3−10v2)−(−12v5+4v3+14v2) . Write answer in standard form.


Answers

Answer:

15v^5+4v^3-24v^2

Step-by-step explanation:

Distribute the Negative Sign:

=3v5+8v3−10v2+−1(−12v5+4v3+14v2)

=3v5+8v3+−10v2+−1(−12v5)+−1(4v3)+−1(14v2)

=3v5+8v3+−10v2+12v5+−4v3+−14v2

Combine Like Terms:

=3v5+8v3+−10v2+12v5+−4v3+−14v2

=(3v5+12v5)+(8v3+−4v3)+(−10v2+−14v2)

=15v5+4v3+−24v2

Answer:

=15v5+4v3−24v2

Hope this helps! :)

urgent!!!!pleasehelp

Answers

Answer:

y + 2 = -2(x - 3)^2

Step-by-step explanation:

We can see immediately that the vertex is at (3, -2).  

The vertex form of the equation of a parabola is

y - k = a(x - h)^2.

If the parabola opened upward, the equation would be y + 2 = 2(x - 3)^2.  But seeing that this particular parabola opens downward, the equation is

y + 2 = -2(x - 3)^2.

Check:  Does the point (2, -4) satisfy this equation?

-4 + 2 = -2(2 - 3)^2 becomes -2 = -2(-1)^2, which is true.

There are group of 20 friends. Every one is a supporter of either Chennai Super Kings or Kolkata Knight Riders or both. If 15 of them support Chennai Super Kings and 10 of them support Kolkata Knight Riders, (i) the number of people who supports both Chennai Super Kings and Kolkata Knight Riders is ____. (ii) the number of people who support only Chennai Super Kings is ____. (iii) the number of people who support only Kolkata Knight Riders is ____.

Answers

Answer:

CSK = Chennai Super Kings

KKR = Kolkata Knight Riders

Guys please help me!! :(

Answers

Answer:

1. 3(2)+(4)-(4)=6

2. 2(8)-3(8)+4= -4

3. 4-16-16= -28

Step-by-step explanation:

what is the surface area of a cone in terms of pi with a diameter of 14cm and a slant height of 20cm

Answers

Answer:

476 Pi cm^2

Step-by-step explanation:

The surface area of a cone is given by the formula:

● Sa = Pi× r^2 + Pi×r×l

r is the radius and l is the slant heigth.

■■■■■■■■■■■■■■■■■■■■■■■■■■

We are given that:

● r = 14 cm

● l = 20 cm

Let's calculate Sa

● Sa = Pi×14^2 + Pi × 14 × 20

● Sa = 476 Pi cm^2

Please answer correctly !!!!!! Will mark brainliest !!!!!!!!!!!!

Answers

Answer:

There were 12 babies and 4 adults

.the difference of thirteen and six, multiplied by a number

Answers

This is the expression your question creates 13-6•x

Answer:

This can be written as (13-6)n. Hope this helps!

Step-by-step explanation:

Simplify the following expression

Answers

Answer: 0.25 or 1/4

Step-by-step explanation:

1/2*2 = 1/2^2 = 1/4

The bottom part of this block is a rectangular prism. The top part is a square pyramid. You want to cover the block entirely with paper. How much paper do you need?

Answers

Answer:

Total paper required = 165 cm²

Step-by-step explanation:

Paper required to cover the entire block = (Surface area of the prism at the base - area of the top of the prism) + Lateral surface area of the pyramid

Surface area of the rectangular prism = 2(lb + bh + hl)

(here l, b, h are the length, width and height respectively)

                                                               = 2(5×5 + 5×4 + 4×5)

                                                               = 2(25 + 20 + 20)

                                                               = 2×65

                                                               = 130 cm²

Area of the top of the prism = (side)²

                                              = 5²

                                              = 25 cm²

Lateral area of the square pyramid = 4 × Area of one lateral side

                                                          = 4 × [tex][\frac{1}{2}(\text{Base})(\text{Height})][/tex]

                                                          = 4 × [tex][\frac{1}{2}(5)(6)][/tex]

                                                          = 60 cm²

Total paper required = (130 - 25) + 60

                                   = 105 + 60

                                   = 165 cm²

g(r)=-(r+11)(r+14)

what are the zeros & what is the vertex

Answers

Answer:

The roots (r) or the Zeros ( other name ) = -11 and -14

Step-by-step explanation:

Post in comments if u need step by step and Ill give to u :)

Please answer correctly !!!!!! Will mark brainliest !!!!!!!!!!

Answers

Answer:

(x+4)

Step-by-step explanation:

Since area is width times length, you can just factor the area to get the width and length

You factor to get (x+4)(x+7)

Since (x+7) is the length, (x+4) must be the width

Answer:

(x + 4) m

Step-by-step explanation:

[tex]Area \: of \: rectangle = length \times width \\ \\ width = \frac{Area \: of \: rectangle}{length} \\ \\ = \frac{ {x}^{2} + 11x + 28 }{x + 7} \\ \\ = \frac{ {x}^{2} + 7x + 4x + 28}{x + 7} \\ \\ = \frac{ x({x} + 7) + 4(x + 7)}{x + 7} \\ \\ = \frac{ ({x} + 7) (x + 4)}{x + 7} \\ \\ = (x + 4) \: m \\ \\ \red{ \boxed{\bold {\therefore \: width \: = (x + 4) \: m}}} [/tex]

A cube has width of 9 cm. What is the volume of the cube?

Answers

Answer:

V = 729 cm³

Step-by-step explanation:

side length a = 9 cm

face diagonal f = 12.727922061358 cm

solid diagonal d = 15.58845726812 cm

surface area S = 486 cm²

volume V = 729 cm³

Formula: V=a³

9 sec2 A - 9 tan2 A=

Answers

- 1.96162289 amperes

hcglnlkl gzfog dufkbicfhpffkgdhjdk

Given the equation,D=m/v if D=6/7 and =m+3 then m=.

Answers

Answer:

[tex]m=18[/tex]

Step-by-step explanation:

The equation given is [tex]D=\frac{m}{v}[/tex]

and also we have that [tex]D=\frac{6}{7}[/tex], thus:

[tex]\frac{6}{7}=\frac{m}{v}[/tex]

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

I think the question is missing which variable is defined as [tex]=m+3[/tex], so I will solve for [tex]v=m+3[/tex] since is the only other variable in the equation.

substituting [tex]v=m+3[/tex]  into [tex]\frac{6}{7}=\frac{m}{v}[/tex]:

[tex]\frac{6}{7}=\frac{m}{m+3}[/tex]

and we solve for m:

[tex](m+3)(6)=7m\\6m+18=7m\\18=7m-6m\\18=m[/tex]

m is equal to 18.

|3n – 6| = 6
absolute value equation

Answers

Answer:

[tex]n=\{0,\: 4\}[/tex]

Step-by-step explanation:

[tex]|3n-6| = 6\\\therefore 3n - 6 = \pm 6\\\therefore 3n = 6 \pm 6\\\therefore 3n =6+6\:\: or\:\: 3n = 6-6\\\therefore 3n =12\:\: or \:\:3n = 0\\\\\therefore n =\frac{12}{3}\:\: or\:\: n =\frac{0}{3}\\\\\therefore n = 4 \:\: or\:\: n = 0\\\\\therefore n=\{0,\: 4\}\\[/tex]

What is equivalent to log2(7)
A.7^2
B.2^7
C.7log(2)
D.log(7)/log(2)
E. Log(2)/log(7)

Answers

Answer:

D

Step-by-step explanation:

Using the changing base formula, log base 2 raised to 7 can be written as log7/log2

The correct answer is D. log(7) / log(2).

To find the equivalent of log2(7), you can use the change of base formula for logarithms.

The change of base formula states that log base a of b is equal to log base c of b divided by log base c of a.

In this case, we want to find the equivalent of log2(7), so we can use the change of base formula with base 10 as follows:

log2(7) = log(7) / log(2)

Therefore, the correct answer is D. log(7) / log(2).

Learn more about logarithms click;

https://brainly.com/question/30226560

#SPJ6

what number is not part of the solution set to the inequality below?
w - 10 less than or equal to 16

Answers

W equaling any number lower than 26

Answer:

If you have this as an answer, 27

(The question is "what number is not part of the solution set to the inequality below?)

Step-by-step explanation:

w - 10 ≤ 16

w - 10 + 10 ≤ 16 + 10

w ≤ 26

11, 15, and 26 are all either less than, or equal to 26. Only 27 is not.

Por favor ayudenme, plis (x2+ 3x - 5 )2

Answers

Answer:

[tex]x^4 + 6x^3 - x^2 - 30x + 25[/tex]

Step-by-step explanation:

Multiplica la expresión por sí misma y expande el corchete:

[tex](x^2+ 3x - 5 )^2\\\\= (x^2+ 3x - 5 )*(x^2+ 3x - 5 )\\\\= x^2(x^2+ 3x - 5 ) +3x(x^2+ 3x - 5 ) - 5(x^2+ 3x - 5 )\\ \\x^4 + 3x^3 - 5x^2 + 3x^3 + 9x^2 - 15x - 5x^2 -15x + 25\\\\x^4 + 3x^3 + 3x^3 -5x^2 + 9x^2 - 5x^2 - 15x - 15x + 25\\\\= x^4 + 6x^3 - x^2 - 30x + 25[/tex]

2 3/5 x 3 1/3 answer

Answers

2×5+3 =13\5

3×3+1=13/3

13/5×

10/3

130÷15= 82/5

Scientific notation
9.78 × 10^5 - 732,000
It has to be either 2.46 × 10^5 or 2.46 × 10^3

Answers

Answer:

[tex]2.46\times 10^5[/tex]

Step-by-step explanation:

[tex]9.78 \times 10^5 - 732,000\\= 9.78 \times 10^5 - 7.32 000\times 10^5\\= 9.78 \times 10^5 - 7.32\times 10^5\\= 2.46\times 10^5[/tex]

Anyone who know how to do this answer i will give you 20 Brainly points and mark the Braninllest person who get it right.

Answers

Answer:

Answer is A

Step-by-step explanation:

(14x^4y^6)/(7x^8y^2)

because everything is one term, you can split into three terms

14/7, x^4 / x^8 , and y^6/y^2

multiplying these three terms will get us the starting term

14/7 = 2

x^4 / x^8

with division of exponents, you subtract the smaller exponent (4), from the big exponent (8), and leave it on the same side (bottom) as the big exponent

1/x^4

same thing with our y's

y^6/y^2

this time, the term stays on the top

y^4

take the simplified terms and multiply them together

(2) * (1/x^4) * (y^4) =

A: (2y^4) / (x^4)

City
Atlanta
Positive Response to Program 1 Positive Response to Program 2
77.8%
82.1%
Boston
86.4%
86.6%
65.9%
Chicago
Dallas
87.5%
73.8%
80.9%
69.796
79.4%
78.4%
88.1%
Houston
Los Angeles
Miami
Newark
82.596
82.6%
81.496
83.3%
Total
68.89
81.7%
The probabilities of a positive response to two government programs from citizens in eight cities are given in the table. What is the chance of
a positive response for program 1, given that the individual is from Houston?
ОА
68.896
OB.
69.796
OC.
79.496
OD
insufficient data

Answers

Answer:

The correct option is (B) 69.7%.

Step-by-step explanation:

The table provided represents the probabilities of a positive response to two government programs from citizens in eight cities.

The probabilities mentioned in the table are conditional probabilities, i.e. the probability of a positive response for program 1, given that the individual is from city x.

The probability a positive response for program 1 from an individual from Houston is 69.7%.

Then the conditional probability of a positive response for program 1, given that the individual is from Houston is 69.7%.

Thus, the correct option is (B).

Count the possible combinations of 2 numbers chosen from the list 99 98 97 96 95 94 93 92 91

Answers

The number of ways to choose r objects out of n objects is:
C(n,r) = (n!)/(r! * (n-r)!)

The number of ways to choose 2 numbers out of a list of 9 numbers is:
C(9,2) = 9! / (2! * 7!)
= 9*8 / 2!
= 9*8/2
= 36

Here are all the possible combinations:
98 97
98 91
98 93
98 99
98 96
98 94
98 92
98 95
97 91
97 93
97 99
97 96
97 94
97 92
97 95
91 93
91 99
91 96
91 94
91 92
91 95
93 99
93 96
93 94
93 92
93 95
99 96
99 94
99 92
99 95
96 94
96 92
96 95
94 92
94 95
92 95

You start driving north for 48 miles turn right and drive east for another 14miles at the end of driving what is your striaght line distance from your starting point

Answers

Answer: 48 miles

Because north is straight from the starting point and you traveled 48 miles north so 48

Answer:

50 miles

Step-by-step explanation:

If you draw the shape

you'll roughly get the above mentioned one..

so it's a right angle triangle now

using Pythagoras relationship

48^2+14^2=x^2

2304+196=x^2

2500=x^2

x= 50

straight line distance aka displacement is 50 miles

Patrick made a cake for his mother's birthday. He started making the
cake batter at 9:00 A.M. It took 1 hour and 15 minutes to make the
batter. Then, the cake baked in the oven for 1 hour.
What time did the cake come out of the oven?
Show your work

Answers

Answer: 11:15 AM

Step-by-step explanation:

9:00 plus an hour and 15 minutes (75 minutes) makes it 10:15.  Then bake for an hour (60 minutes), makes it 11:15

Answer:

what she saisddddddddddd

Step-by-step explanation:

What is the period of the sinusoidal fynction below?
f(x) = 2 cos(3x – 360) + 3

Answers

Answer:

Here you go! I have a graph for your answer!

Step-by-step explanation:

The Xmin is -10

The Xmax is 10

The Ymin is -10

Ans the Ymax is 10

Other Questions
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