Is x=3, y=2 a solution to the system of equations shown? Justify your answer.
y = 2x - 4
3x + 2y = 8

Answers

Answer 1
Y=2(3)-4=2
3(3)+2(2)=8=12
Answer 2

Answer:

It is not a solution.

Step-by-step explanation:

y = 2x - 4

2 = 2(3) - 4

2 = 6 - 4

2 = 2

The point is a solution to the first equation.

3x + 2y = 8

3(3) + 2(2) = 8

9 + 4 = 8

11 ≠ 8

The point is only a solution for one equation. It is not a solution to the system.

Hope this helps.


Related Questions

In a lab experiment, 5400 bacteria are placed in a petri dish. The conditions are such
that the number of bacteria is able to double every 4 hours. How many bacteria would
there be after 17 hours, to the nearest whole number?

Answers

Answer:

it’s 102747.494736, estimate is 102747

Step-by-step explanation:

find the area of iscolces triangle 13cm

Answers

b=2A

hb

For an isosceles triangle, the area can be easily calculated if the height (i.e. the altitude) and the base are known. Multiplying the height with the base and dividing it by 2, results in the area of the isosceles triangle.

The number of cars in 25 families is shown in the table. Calculate the mean number of cars in a family.
No of cars Frequency
1 5
2 10
3 7
4 2
5 1

Answers

Answer:

Mean = 11.8

Step-by-step explanation:

Given the following data;

Total number of cars (n) = 5

Number of cars (x) = 1, 2, 3, 4, 5

Frequency (F) = 5, 10, 7, 2, 1

F(x) = (1*5) + (2*10) + (3*7) + (4*2) + (5*1)

F(x) = 5 + 20 + 21 + 8 + 5

F(x) = 59

To find the mean;

Mean = F(x)/n

Mean = 59/5

Mean = 11.8

An elliptical table is being cut from a rectangular piece of wood that is 12 feet by 10 feet. Legs of the table will be
attached at the foci. Which equation models the largest ellipse that can be cut from the rectangle and describes
where the legs will be attached?

Answers

Answer:

B on edge

Step-by-step explanation:

just got it wrong

Help I forgot how to do this​

Answers

Answer:

number 5 is 11 and number 6 is 16

Step-by-step explanation:

you substitute a for 4 bc a equals 4 and than finish the equation 4+7=11

6. you substitute b for 2 and c for 8 and multiply which than is 16

Consider circle E.
A
B
26
D
E
F
What is the mBC ?
mBC

Please help​

Answers

Step-by-step explanation:

< AEB + < BEC = 180° {BEING LINEAR PAIR }

26° + < BEC = 180°

< BEC = 180° - 26°

< BEC = 154°

ARC BC = < BEC ( relation between arc and central angle)

Arc BC = 154°

Hope it will help :)

50 POINTS AND BRAINLIEST!

Determine if the graphed function is linear or nonlinear.
Select from the drop down menu to correctly complete the sentence.
The graphed function is

A. Linear
B. Non-linear

Answers

Answer:

its A linear

Step-by-step explanation:

its going upwards and that means its linear and when the end point is going downwards that means its non linear  

Answer:

my answer was incorrect my mistake

Determine if the equation y = 15(1.35)* represents exponential growth or decay and justify. Hint: Think about the growth and decay equations.​

Answers

Answer:sdfghgfdfghnhgfdfgh

Step-by-step explanatsdfghjhgfghjk

Answer: Exponential growth

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

Explanation:

The equation is in the form y = a*(b)^x

The 'a' is the initial or starting value. In this case, a = 15.

The b is the base of the exponent which is tied to growth or decay. If 0 < b < 1, then we have decay. If b > 1, then we have growth.

Since b = 1.35, and 1.35 > 1, this means b > 1 and the given equation represents exponential growth.

Solving 1+r = 1.35 leads to r = 0.35. This means the growth rate is 35%

. Robbie decides to make 12 batches of chicken noodle soup. How much ground black pepper should he use? ( THERE ARE 1/8 TEASPOON OF GROUNDPM PEPPER IN ONE BATCH) pls put in fraction form​

Answers

the answer for your question is 1 1/2

Raul borrows $600 at an interest rate of 8% per year for 4 years. How much simple interest will he have to pay?

Answers

__________________________________

A = P × i × n = $600 × 8% × 4 Years= $192= $600 + $192= $2,619Raul Will Have To Pay $2,619

__________________________________

5=10+n/6
5(6)=10+n(6)
30=10+n
-10 -10

Answers

Answer: sooooo....... the answer is n=20

Step-by-step explanation: did you really needed the answer for this?

Answer:

n = -30

Step-by-step explanation:

5 = 10 + n/6

-5 = n/6

n = -30

Which expression is equivalent to f(x)=6x^2-13x+5

Answers

Answer:

(3x - 5)(2x - 1)

Step-by-step explanation:

6x² - 13x + 5

6x² - (10 + 3)x + 5

6x² - 10x - 3x + 5

2x(3x - 5) - (3x - 5)

(3x - 5)(2x - 1)

Which means, 6x² - 13x + 5 is equivalent to (3x - 5)(2x - 1) or vice versa

plz help fast plz plz plz

Answers

Answer: -6

Step-by-step explanation:

what is the volume of a hemisphere with a diameter of 41.6m, rounded to the nearest 10th of a cubic meter

Answers

Explanation is in the file

tinyurl.com/wtjfavyw

Find the area of the triangle below.
6
18
A =
units squared

Answers

Answer:

hhhdddhhsuuwuwuww?w?w?

wwwwwwwww:::????&ddddddddddd

Solve for X in the figure below, knowing line L is parallel to line M. Thank You!

Answers

Answer:

3x+5= 65°( alternate interior angles)

3x=60

x=60/3=20°

Step-by-step explanation:

Answer:

x = 18.67

Step-by-step explanation:

3x + 5 = 61

     -5     -5

3x = 56

divide by 3

x = 18.67

3. Temperature
(THIS IS NOT A MULTIPLE CHOICE)​

Answers

Answer:

a) clusters: none, gaps: 99, and 100, peaks: 101, outliers: none.

b) center of distribution:

median: 101, mean: 99.9090.

(a)

The outliers are the values that are far from the middle.

In this case, the outliers are 97, 98, 98, 98.

A cluster occurs when the data occurs within a small interval.

In this case, there's a cluster between 100 and 102.

According to the dot plot, there's a gap from 98 to 101.

At last, the peak is at 101, which is the value with the highest frequency.

(b)

The given data set doesn't form a normal distribution because there's no data in the middle of the data set, instead, there's a gap. Additionally, the spread or range of the data set is 5, where the majority of the data is not in the middle which mean the dispersion of the data is important.

Which graph shows an increasing linear function? p.s dont mind the tabs lol!!!

Answers

i believe it’s the bottom left graph

3x2^+2(x+4x) when x=2

Answers

Answer:

32

Step-by-step explanation:

Given the algebraic expression;

[tex] 3x^{2} + 2(x + 4x) = 0 [/tex]

When x = 2

It simply means that we would substitute the value of x into the equation.

[tex] 3*2^{2} + 2(2 + 4*2) [/tex]

[tex] 3*4 + 2(2 + 8) [/tex]

[tex] 12 + 2(10) [/tex]

[tex] 12 + 20 [/tex]

[tex] 12 + 20 = 32 [/tex]

Solve these and show your work pls!

Answers

Answer :the 1st and 3rd are true

Step-by-step explanation:

you do the math how their set up so just right those and you can get your answer that way. (if your adding a positive and negative your basically subtracting so just write in the order their in; if you subtracting a negative from a positive it equals a positive; if your subtracting a negative from a negative or the answer is positive; if your subtracting a positive from a negative its negative) i hope this helps if u have any more questions just message me and i  will be happy to help you anytime!!! <3

The number of hours per week that the television is turned on is determined for each family in a sample. The mean of the data is 31 hours and the median is 27.2 hours. Twenty-four of the families in the sample turned on the television for 1616 hours or less for the week. The 7th percentile of the data is 16 hours. Based on the given information, determine if the following statement is true or false.

The 56th percentile is greater than or equal to 26 hours.

a. True
b. False

Answers

True I believe sorry if it is wrong but I think it is true.

Answer:

False

Step-by-step explanation:

What is the value of k in the following equation?
2(4k + 5) + 3(3 – 3k) = 25

Answers

Answer:

K = - 6

Step-by-step explanation:

Let's solve your equation step-by-step.

2(4k+5)+3(3−3k)=25

Step 1: Simplify both sides of the equation.

2(4k+5)+3(3−3k)=25

(2)(4k)+(2)(5)+(3)(3)+(3)(−3k)=25(Distribute)

8k+10+9+−9k=25

(8k+−9k)+(10+9)=25(Combine Like Terms)

−k+19=25

−k+19=25

Step 2: Subtract 19 from both sides.

−k+19−19=25−19

−k=6

Step 3: Divide both sides by -1.

if arc lm = 20 ft, find the radius of N

Answers

Answer:

120 ft

Step-by-step explanation:

60/360 or 1/6 of circle = 20 ft

full circle = 20 x 6 = 120 ft

diameter = 120/3.14 = 38.22 ft

radius = 38.22/2 = 19.11 ft

Answer:

Step-by-step explanation:

60° = ⅙ of 360°, so length of arc LM = ⅙ of 2πr.

20 = 2πr/6

r = 60/π ft

help pleaseee i need this

Answers

it’s 2:1
24 is half of 48

can someone help me with this

Answers

Answer:

A

Step-by-step explanation:

Two angles are complementary. The measure of the first is (3x+14) and the measure of the second one is (5x-20). What are the measures of the two angles?

Answers

Answer:

x=17

Step-by-step explanation:Isolate the variable by dividing each side by factors that don't contain the variable. x=17. I hope this helps

Which digit in the following number is the one that determines its precision? 2801.3

The answers 3

Answers

Answer:

3

Step-by-step explanation:


What is the measure of angle R?

Enter your answer as a decimal in the box. Round only your final answer to the nearest hundredth.

mZR
=

Answers

Answer:

m<R = 22.62°

Step-by-step explanation:

Reference angle = R

Opposite = 5 cm

Hypotenuse = 13 cm

Apply the trigonometric function SOH:

Sin R = Opp/Hyp

[tex] Sin (R) = \frac{5}{13} [/tex]

[tex] R = sin^{-1}(\frac{5}{13}) [/tex]

R = 22.6198649°

m<R = 22.62° (nearest hundredth)

Which equation is equivalent to 2-2(3x - 1)=2

Answers

Answer:

it should be C

Step-by-step explanation:

I hope this helps! I am sorry if I am wrong!

Answer:

c

Step-by-step explanation:

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

simplify the expression Please HELP

Answers

9 x (24 / 12)^2 + 5

The order of operations is PEMDAS - parenthesis, exponents, multiplication/division, addition/subtraction.

Use the order of operations to know what to simplify first in an expression. P = parenthesis so you simplify what is in parenthesis first. 24/12 = 2, so your first box is 2. The expression now looks like this:
9 x (2)^2 + 5

The next letter is E, which stands for exponents. You square two next. 2^2 = 4 so your next box is 4. The equation now looks like this:

9 x 4 + 5

The next two letters of PEMDAS or MD, which stand for multiplication/division. If you have either or both of these to do in your expression, you do them now. That means you now calculate 9 x 4, which is 36. This leaves you with 36 + 5. Your 3rd box is 36.

The final letters of PEMDAS are AS. Doing any addition/subtraction happens last. Now you can add 36 + 5 to get 41 (your final box)

9 x (24 / 12)^2 + 5 = 41

Let me know if you have any questions/didn’t understand something. I hope this helps :)
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