What is the solution to the system of equations?
3x – 9y = -13
x – 3y = -7
(a) Use the substitution method to justify that the given system of equations has no solution.
(b) What do you know about the two lines in this system of equations?
PLEASE PLEASE PLEASE HELPPP

Answers

Answer 1

Answer:

a. it has no solution

b. you can only substitute by making either the 'x' or 'y' the subject of either of the two equations.

Step-by-step explanation:

3x - 9y = -13.............. eqn 1

x - 3y = -7................... eqn 2

from eqn 2

x - 3y = -7, substitute by making 'x' the subject

x = -7 + 3y.................. eqn 3

put eqn 3 into eqn 1

3x - 9y = -13

3( -7 + 3y) - 9y = -13

-21 + 9y - 9y = -13

9y - 9y = -13 + 21

0 = 8, which is not possible.


Related Questions

If a day of the week is randomly selected, what's the probability that the day contains the letter "a" in its name?

Round your answer to four decimal places (if necessary).

Answers

Answer:

1

Step-by-step explanation:

monday, tuesday, wednesday, thursday, friday, saturday, and sunday all have "a" in it so it has a 100% probability

Answer:

There would be a 100% chance.

Step-by-step explanation:

All the days of the week end with -day. The word day has an 'a' in it.

Monday

Tuesday

Wednesday

Thursday

Friday

Saturday

Sunday

Therefore, it will be certain that you will pick a day that has an 'a' in it's name.

Hope this helps!

The measure of a smaller angle =


find a =

find c =

Answers

A= 48
C= 132

Hope it’s right
Best luck with your studying

Pls help me with this​

Answers

Answer:

Number 6 is 7

Step-by-step explanation:

8 x 7 = 56

49 + 7 = 56

Answer for brainliest

Answers

Answer:

b

Step-by-step explanation:

Answer:

Y = 2x. it is given

now , 2x + 2y = 30

now putting y = 2x ,. in ( 2x + 2y) = 30

hence ,.2x + 4x = 30

6x = 30

x= 5

now ,y= 2x

y = 10

Simplify the expression:
6(20 + 1)
=

Answers

Answer:

120+6

Step-by-step explanation:

Using distributive property 6times 20 is 120 and 6 times 1 is 6 so 120+6

What is the answer I need to know

Answers

Answer:

D

Step-by-step explanation:

Answer:

d

Step-by-step explanation:

.


[tex] \sqrt{x - 1} (x - 6) {}^{2} [/tex]
inflection points?​

Answers

Answer:

1 and 6

Step-by-step explanation:

it is just like the roots of a polynomial, since [tex]\sqrt{x-1}[/tex](x-6)^2=0

we can separate the two pieces of the problem

\sqrt{x-1} =0

square both sides to get

x-1=0.   x=1

(x-6)^2=0

square root both sides and get

x-6=0

x=6

so the two inflection points of the equation are 6 and 1

Hope that helps :)

In two or more complete sentences compare the number of xintercepts in the graph of f(t)=t^2 to the number of x-intercepts in the graph of g(t)=(t+3)^2

Answers

Answer:

f(t)=t^2 rests at (0/0) and grows upwards, so there is only a single x-intercept. g(t)=(t+3)^2 is f moved 3 to the left, so it also only has one intercept but at (-3,0).

Step-by-step explanation:

the farmer has a field of 300m.he want to fence it with 4 rounded barbed wire . what is the total length of wire he requires​

Answers

Answer:

1,200 meters.

Step-by-step explanation:

Given that the farmer has a field of 300 meters and he wants to fence it with 4 rounded barbed wire, to determine what is the total length of wire he requires, the following calculation must be performed:

300 x 4 = X

1,200 = X

Thus, the farmer needs 1,200 meters of barbed wire to be able to fence his entire field.

As a farmer, one of your responsibilities is to plow the field to prepare it for planting. On day 1, you plowed of the field. On day 2, you plowed of the field.

How much more of the field did you plow on day 1 than on day 2?
a.1/16
b.1/12
c.5/24
d.13/24

Answers

Answer:

you plowed more of the field on day 2 than on day one because minus equals

Step-by-step explanation:

Find m∠ABC in the picture. (it's not solving for x.)

Answers

Answer:

The answer would be 6º

Step-by-step explanation:

first we know that a straight lin is always 180º

so since we know that the angle outside of the triangle is 110º we can do 180º -110º

then we get the measuerment for angle C :70º

since we dont know the measurements of the other angles but know that a full triangle is equal to 180º we make this equation

2+6x+12x+70=180

then we solve

72+18x=180

-72         -72

18x=108

/18    /18

x=6

then we plug in the x value to find the angle measurement

2+6(6)

2+36

38º

your answer is m<CAB is 38º

You can sell 60 pet chias per week if they are marked as $1 each, but only 50 per week if they are marked $2 per chia. Your chia supplier is prepared to sell you 10 chias per week if they are marked $1 per chia, and 20 per week if they are marked $2 per chia. At what price should the chias be marked so that there is neither surplus nor a shortage of chias​

Answers

Answer:

$1 for 60

Step-by-step explanation:

60$ is a better deal.

is it rigt ghghghghghghghghghghgh

Answers

Answer:

nope, the answer is the one above the one you chose

pls help the teacher said it’s not 14 I don’t know

Answers

Answer:

let no be x

by the question

2x-5=9

2x=9+5

x=14/2=7

the secret no is 7.

Bob took his family out to lunch. He bought 3 hot dogs and 2 hamburgers for $11. If the guy in front of him bought 2 hot dogs and 4 hamburgers for $16, what is the cost of one hamburger?

Answers

Answer:

Hotdog: $1.50

Hamburger: $3.25

Step-by-step explanation:

You write down the 2 equations based off of the information as I did:

Let x = cost of a hotdog

Let y = cost of a hamburger

and so:

3x + 2y = 11

2x + 4y = 16

Now, we need to find x and y:

We will make both equations equal to y to compare them to each other.

2y = 11 - 3x

y = 5.5 - 1.5x

4y = 16 - 2x

y = 4 - 0.5x

4 - 0.5x = 5.5 - 1.5x

x = $1.5

Now plugging in x into the equation:

2(1.5) + 4y = 16

3 + 4y = 16

4y = 13

y = $3.25

And so hotdog = $1.5 and hamburger = $3.25

factor 3a^5-18a^3+6a^2, I know the answer is 3a^2(a^3-6a+2) but I am so lost on how to get the factor of 3a^2..How in the world do you get the exponent for the factor

Answers

Answer:

[tex]\huge\boxed{3a^2(a^3-6a+2)}[/tex]

Step-by-step explanation:

[tex]\sf 3a^5-18a^3+6a^2\\\\HCF = 3a^2\\\\Take \ 3a^2 \ common\\\\= 3a^2(a^3-6a+2)\\\\\rule[225]{225}{2}[/tex]

Hope this helped!

~AH1807

Fruit-O-Rama sells dried pineapple for $0.25 per ounce. Mags spent a total of $2.65 on pineapple. How many ounces did she buy

Answers

Answer:

2.65/.25= 10.6oz

............

Answer:

10.6 Ounces

Step-by-step explanation:

Each ounce of dried pineapple costs $0.25

Divide $2.65 by $0.25

2.65/0.25=10.6

Mags bought 10.6 oz.

what is the value of a?​

Answers

Answer:

9\sqrt{2}

Step-by-step explanation:

this is a 30-60-90 triangle so

the side opposite of 30 is x and the opposite side of 60 is x[tex]\sqrt{2}[/tex]. then the side opposite 90 is 2x.

so if 9=x then a=x\sqrt{2}

9\sqrt{2} is the side length of a

Hope that helps :)

Solve the question below

Answers

Answer:

name as AB =CD

angle A=angle D

BC=BC

hence angle ABC is congruent to angle BCD

(by sas congruency)

hence proved

What is the midpoint of (1, 8) (9, 6)

Answers

Answer:

(5,7)

Step-by-step explanation:

x = 1 + 9 / 2 = 5 and y = 8 + 6 / 2 = 7

So the coordinate is (5,7)

Ava's Ice Cream Shop sold 25 sundaes with nuts and 3 sundaes without 10
nuts. What is the ratio of the number of sundaes with nuts to the number
of sundaes without nuts? *

Answers

Answer:

7:5 or 5:7

Step-by-step explanation:

Cuál es el valor de 3/2? es para una tarea :(​

Answers

Answer:

1.5

Step-by-step explanation:

Tienes que dividir 3/2 y es 1.5

Researchers interested in lead exposure due to car exhaust sampled the blood of 52 police officers subjected to constant inhalation of automobile exhaust fumes while working traffic enforcement in a primarily urban environment. The blood samples of these officers had an average lead concentration of 122.31 µg/l and a SD of 38.75 µg/l; a previous study of individuals from a nearby suburb, with no history of exposure, found an average blood level concentration of 35 µg/l.

Required:
a. Write down the hypotheses that would be appropriate for testing if the police officers appear to have been exposed to a higher concentration of lead.
b. Explicitly state and check all conditions necessary for inference on these data.
c. Test the hypothesis that the downtown police officers have a higher lead exposure than the group in the previous study. Interpret your results in context.
d. Based on your preceding result, without performing a calculation, would a 99% confidence interval for the average blood concentration level of police officers contain 35 ug/l?

Answers

Step-by-step explanation:

n = 52

x bar = 122.31

standard deviation sd = 38.75

1. the hypothesis:

null hypothesis

h0: μ ≤ 35

alternative hypothesis

h1: μ > 35

2.

we have been given the sd of the sample but not that of the population. so what we are supposed to use here is the t test and not the z test. the following conditions have to be met.

population has to be normalsample size has to be more than 30. we have sample size = 52 in this question.

3.

= [tex]\frac{122.31-35}{38.75/\sqrt{52} }[/tex]

= 87.31/5.37

= 16.26

using the T distribution function in excel, the p value was calculated and found to be approximately equal to 0.

TDIST(16.26, 51, 1)

since p value is very small we reject the null and accept the alternate hypothesis.

4. from the result above the answer to this question is yes

What is the volume of a hemisphere shaped coffee if the width of the coffee cup is about 16.51 cm (use 3.14 for pie)

1177.58
2355.16
18,841.25
12,850.80

Answers

Answer:

A. 1,177.58 cm³

Step-by-step explanation:

Volume of hemisphere = ⅔πr³

Radius (r) = 16.51 ÷ 2 = 8.255

π = 3.14

Plug in the values

Volume of the hemisphere-shaped cup = ⅔ × 3.14 × 8.255³

= 1,177.57783 ≈ 1,177.58 cm³

4) The measure of unknown angle x is.

Answers

The sum of the triangle is 180
180=110+2x
X=180-110 /2
X=70/2
X=35

Brooklyn's family took a road trip to Mount Rushmore. Brooklyn fell asleep 72% of the way through the trip. If the total length of the trip was 400 miles, how many miles had they travelled when Brooklyn fell asleep?

Answers

Answer:

13

Step-by-step explanation:

plus 2 = 11 = 13

Answer:

The correct answer is 288

Step-by-step explanation:

72% of 400 is 288 you can do that in a calculator its common sense, its not 13.

Original amount: 27
End amount: 38.61

Increase or decrease

Answers

Answer:

increase

Step-by-step explanation:

11.61 was added to 27

150% as a simplified fraction

Answers

Answer:

It would be 3/2 as 1/2 is 50%, 2/2 or 1 is 100% and 3/2 is 150%

Step-by-step explanation:

HEEEEEEEEEELLLLLLLLLLP

Answers

The answer is B, d=8.75h
It’s 8.75h because Michael earns 8.75 per hour the key word is “per hour”

Given the function f(x) = 4x + 1, EXPLAIN and show how to find the average rate of change between x = 1 and x = 3.

Answers

The average rate of change is calculated as the slope of the line between the two points on the graph. Since at x = 1, y = -3, and at x = 3, y = 1, these are the two points which we calculate the slope from. Using the formula

m = (y2 - y1)/(x2 - x1)

m = (1 - (-3))/(3 - 1)

m = 4/2

m = 2

Therefore the slope, or the average rate of change, between these points is 2.

Average rate of change is another word for the slope. The function you have is presented in slope-intercept form (y=mx+b), where m=your slope. This means that you already know the slope, which is 4.

Just in case you need to show why the slope = 4, I’ll leave how to find it here:

To find the slope, use the formula: y2-y1/x2-x1

First, you need to find the y-values at x=1 and x=3. To do this, plug the x-values into the equation. The value you end up with is your y-value.

f(1) = 4(1) + 1 = 5
f(3) = 4(3) + 1 = 13

So your two points are (1, 5) and (4, 13). Now plug these points into the slope formula

m = (13-5)/(3-1) = 8/2. 8 divided by two is 4, so your average rate of change is 4. You can double check this by graphing.
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