Find the solution(s) to the system of equations below:
3x - 5y = 3 and y = 3x2 - 4x + 1

Answers

Answer 1

Answer:

1,0

8/15,-7/25

Step-by-step explanation:

3x - 5y = 3

5y = 3x-3

y = (3x-3)/5

y= 3x² -4x +1

or, (3x-3)/5 = 3x²-4x +1

or, 3x-3 = 15x²-20x+5

or, 15x² - 23x +8 =0

or, 15x² - (15+8)x +8 =0

or, 15x² - 15x -8x +8 = 0

or, 15x (x - 1) -8(x-1) =0

or, (x-1)(15x-8)=0

Either,

x-1=0

x = 1

when x=1,

y= 0

or,

15x-8=0

x=8/15

when x= 8/15,

y= -7/25


Related Questions

Help plzzzzzzxhshshxyxush

Answers

Answer:

a.

Step-by-step explanation:

because "six hundered one" is 601 and "five hundredths" is .05 so the only number with both those 2 is a so the awnser is a.

A rectangle with 8 cm width and 3 cm length What is the perimeter and area of the rectangle?​

Answers

Answer:

P=22cm

A=24cm²

Step-by-step explanation:

are Equilateral triangles always acute triangles.

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Answer:

Yes, they can only have acute angles (all measure 60°)

Step-by-step explanation:

i hope the internet knows how to do this i dont​

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All the answers are in the picture attached.

The nominal resistance of a wire is 0.15 Ohm. Random testing of the wire stock yields the following resistance data:
0.148 0.147 0.151 0.146 0.151 0.148 0.147 0.152
0.151 0.148 0.149 0.147 0.146 0.149 0.151 0.147
Does the sign test yield the conclusion, at the 5% significance level, that the median resistance is less than 0.15 Ohm?

Answers

Answer:

The median resistance of the wire is not small than 0,15 Ω at 0,05 of level of significance

Step-by-step explanation:

From data we get    x ( sample mean ) s  ( sample standard deviation) and n size of the sample

0.148 0.147 0.151 0.146 0.151 0.148 0.147 0.152

0.151 0.148 0.149 0.147 0.146 0.149 0.151 0.147

n = 16

x ≈ 0,1487

s = 0,00193

Test Hypothesis

1.-Null Hypothesis               H₀                x  =  μ₀  = 0,15

Alternative Hypothesis  Hₐ                 x < 0,15

We assume data follows normal distribution

as n = 16 we should use a t-student table

As the question is : "Is the median resistance less than 0,15 0hm " we must use  one-tail-test ( to the left)

Then:

2.-Significance level  α = 5 %      α = 0,05

degree of freedom   n = 16     df = n - 1    df = 15

From t-table we find t(c) = 1,7531      at the left is t(c) = - 1,7531

3.-t(s) = ( x - 0,15 ) / s / √n

t(s) = 0,1487 - 0,15 / 0,00193/√16

t(s) = - 0,0013 * 4 / 0,00193

t(s) = - 2,69

4.- Comparing t(s) and t(c)  

|t(s) | > |t(c)|       2,69 > 1,753

Then t(s) is in the rejection region

5.- We reject H₀  . At 95 % of confidence Interval

45,678 in expanded form

Answers

Answer:

40,000 + 5000 + 600 + 70 + 8

Step-by-step explanation:

take the numbers all off and break them down by their value.

What is 3x3/6 because I can’t figure it out

Answers

Answer:

its 48

Step-by-step explanation:

Answer: 1.5

Step-by-step explanation:

Please help trigonometry and special right trianglez

Answers

Answer:

Step-by-step explanation:

A woman walks at a constant speed of 4.5 km per hr.How long will it take her to walk 10 km. using formula d=St how many hours and minutes​

Answers

Answer:

1 hour and about 15 minutes.

Step-by-step explanation:

because in an hour she walks 4.5 km. and 4.5•2=9 so just another km will be 10 so estimatly it'll be 1 hour and 15 minutes

2 hours 13 minutes 20 seconds

The base of the pyramid is a right triangle



The volume is ____ cubic cm.

Answers

Answer:

37 cubic cm should be the answer sorry if I am wrong

Is 3times4 the same as 4 times 3​

Answers

Answer:

Yes, 3x4=12 and 4x3=12

Step-by-step explanation:

Answer:

Yes

Step-by-step explanation:

3 × 4 = 12

4 × 3 = 12

The thickness of the backfat in pigs is used in evaluating the quality of their flesh for consumption. To compare the backfat thickness of pigs raised on two different diets, an animal researcher randomly sampled a group of pigs raised on Diet 1 and another group raised on Diet 2:
Sample Mean Sample SD Sample Size
Diet 1 3.63 cm 0.29 cm 18
Diet 2 3.37 cm 0.25 cm 18
POOLED SE 0.09
A) After confirming all relevant assumptions, you want to test if the mean backfat thicknesses of the pigs raised on these two diets differs. What is the absolute value of the test statistic?
B) If the critical value for this test is 2.032 (confirm that it is), what would be an appropriate conclusion for this test?
A. An conclusion is not warranted for this test
B. This data provides evidence that mean backfat thickness of pigs on Diet 1 is different from pigs on Diet 2 (p<.05)
C. This data provides no evidence that mean backfat thickness of pigs on Diet 1 is different from pigs on Diet 2 (p<.05)
D. This data provides evidence that diet is independent of backfat thickness (p<.05)
E. There is no evidence that diet is independent of backfat thickness (p>.05)

Answers

Answer:

A) The test statistic is approximately 7.5056

B) E. There is no evidence that diet is independent of backfat thickness

Step-by-step explanation:

The given data are;

The sample mean for pigs raised on Diet 1, [tex]\overline x_1[/tex] = 3.63 cm

The sample SD for pigs raised on Diet 1, s₁ = 0.29 cm

The number of pigs in the sample for pigs raised on Diet 1, n₁ = 18

The sample mean for pigs raised on Diet 2,  [tex]\overline x_2[/tex] = 3.37 m

The sample SD for pigs raised on Diet 2, s₂ = 0.25 cm

The number of pigs in the sample for pigs raised on Diet 2, n₂ = 18

The pooled SE = 0.09

A) The test statistic is given by the following formula;

[tex]t=\dfrac{(\bar{x}_{1}-\bar{x}_{2})}{\sqrt{\dfrac{s_{1}^{2} }{n_{1}}-\dfrac{s _{2}^{2}}{n_{2}}}}[/tex]

Therefore, we have;

[tex]t=\dfrac{(3.63-3.37)}{\sqrt{\dfrac{0.29^{2} }{18}-\dfrac{0.25^{2}}{18}}} \approx 7.5056[/tex]

The test statistic, t ≈ 7.5056

B) The degrees of freedom, df = n₁ - 1 = 18 - 1 = 17

At a confidence level of 95%, the critical value is 2.11

Given that the value of the test statistics tic if larger than the critical value, the null hypothesis is rejected and there is a difference in the backfat of the pigs on different diet

Therefore, there is no evidence that diet is independent of backfat thickness

A rectangle has a perimeter of 103.6 inches and a base of 39 inches. What is the height?

Answers

Answer:

12.8 IN.

Step-by-step explanation:

So, what exactly is perimeter?

Perimeter= 2L+ 2W

In this question we were given the length.ie.Base and the perimeter itself.

●Length is 39 In.

●Perimeter is 103.6 In.

●We don't know the width.

But, as per given the question, we know that;

1 length = 39 In.

2 lengths= 78 In.

Now that we know the total length we can find the total width.

See as follows,

103.6 - 78= 25.6

2 widths= 25.6

1 width= 25.6÷2

=12.8 In

Question 11
2 pts
If the temperature at 10:00 am is -23° F and two
hours later at 12.00 pm the temperature rose 6
degrees Fahrenheit, what is the
temperature at
12:00 pm in degrees?

Answers

-17°F bc -23+6 is -17

5^-2 + 7^0

PLSSS HELP MEEE IM IN SCHOOL RIGHT NOW

Answers

TRY THIS

Step-by-step explanation:

Step-by-step explanation:

Given

[tex] {5}^{ - 2} + {7}^{0} \\ = \frac{1}{ {5}^{2} } + 1 \\ = \frac{1}{25} + 1 \\ = \frac{1 + 25}{25} \\ = \frac{26}{25} [/tex]

Hope it will help :)❤

PLEASE HELP ITS DUE IN AN HOUR!!!!!!

Answers

Answer:

3 units to the right of -5

Step-by-step explanation:

How many degrees does it take a capterpillar to turn upright​

Answers

it is at least 180 degrees

Raelyn spent $6.00 on butterfly stickers for her bathroom wall. Each sticker cost 1/10 of a dollar. how many stickers did Raeyln but?From the same store,Beth biught 1/4 the number of butterfly stickers Raeyln bought.How many butterfly stickers did Beth buy?​

Answers

Answer:

Raeyln bought 60 stickers, Beth bought 15 stickers

Step-by-step explanation:

simple math l.mao

Norris bought a television for $899. If the tax is 5.5%, how much sales tax will he pay?

Answers

Answer:

$49.445 or $49.5 if they round

Step-by-step explanation:

Answer:

$948.45

Step-by-step explanation:

■ Sales tax: $49.45

■ Cost/Price before ST: $899.00

■ Total Cost/Price including ST: $948.45

Find the area of the bigger triangle (will give brainlest)

Answers

Answer: a. 90

Step-by-step explanation: plz give me brainliest

PLEASE I NEED HELP CLICK ON THIS IMAGE

Answers

Answer:

D, 261

Step-by-step explanation:

Divide all of the answer choices by 9. The answer is the one with the whole number. 261/9=29 29=whole number so D is the answer.

Hope this helps! If it did, please give brainliest! It would help a lot! :D

Answer:

261

Step-by-step explanation:

If the farmer used 9 boxes and each had the same number, we need to find the number that's divisible by 9.

There's a great fact - a number is divisible by 9 if its sum of digits is divisible by 9.

Let's use that fact on the answers first:

281 -> 2 + 8 + 1 -> 11 -> 1 + 1 -> 2; not divisible by 9

273 -> 2 + 7 + 3 -> 12 -> 1 + 2 -> 3; not divisible by 9

261 -> 2 + 6 + 1 -> 9; divisible by 9

Please note that we could just say that 11 is not divisible by 9, but I wanted to show that we can do it again - nothing stops us and it still works.

To know why this method works, note that a number ABC is equal to:

100 * A + 10 * B + C = 99 * A + 9 * B + (A + B + C) = 9*(11*A + B) + (A + B + C)

And we know that 9*(11*A + B) is divisible by 9 because it's literally 9 times something. So A+B+C is equal to ABC minus something divisible by 9, and that proves what we needed.

jamals lawn service often fertilizes lawn in the spring. jamal charges 3.50 per square yard. how much will jamal charge to fertilize the yard pictured below

Answers

Answer:

He will charge $28.

Step-by-step explanation:

We know that Jamal charges $3.50 per square yard.

Now we need to find the area in the image, it may be kinda hard to see it, but we can think of the image as a rectangle of 4yd by 3yd where we subtracted the area of a square of side length equal to 2yd.

The area of the rectangle is:

A = 4yd*3yd = 12 yd^2

And the area of the square is:

a = (2yd)^2 = 4 yd^2

The area of our image (equal to the difference between the area of the rectangle and the area of the square) is:

Area = A - a = 12 yd^2 - 4 yd^2 = 8 yd^2

Area = 8 yd^2

And he charges $3.50 per square yard, then for 8 square yards he charges 8 times that amount, which is:

C = 8*$3.50 = $28

three friends go to a book fair . alvin speends 2.60 . prabhjot spends 4 times as much as alvin . stephanie spends 3.45 less then prabhjot . how much does stephanie spends?

Answers

Answer:

6.95

Step-by-step explanation:

to find how much stephanie spends for first we will find how much probhjot spends and then subtract 3.45 dollars from that value alvin spends 2.60 dollars

prohbjot spends 4 times as much as alvin or

4× 2.60=10.4

so prohbjot spends 10.4 dollars

stephanie spends3.45 dollars less than prohbjot or

10.4 -3.45 =6.95

so stephanie spends 6.95 dollars

20 POINTS! WILL AWARD BRAINLIEST! Which equations have only one root

Answers

Answer:

its option a i and ii plz mark me branliest

HURRY THIS IS REALLY IMPORTANT

Answers

Answer:\ b.

Step-by-step explanation:

Hope this helps!!

The answer is :B BRAINLIST pleaseee

There are 12 inches in 1 foot. Jada is working on improving her vertical jump. She records the measurements in feet and inches. Currently, her standing reach is 6 feet from the ground. The highest point of her jump is 108 inches.

How many inches are in 6 feet?
6 feet = 72 inches.

Complete the statement to describe how to convert feet to inches.
To find the number of inches, ? the number of feet by the unit rate, ? inches per foot.​

Answers

Answer:

To find out how any inches are in a certain amount of feet you have to multiply it by 12. For example 4 feet is equal to 48 inches. (4x12)

Step-by-step explanation:

Pls helpp It is due today

Answers

Answer:

$13.75

Step-by-step explanation:

d= 9.75

43 - 3(9.75) = 13.75

The answer would be $13.75

please i will give you brainly -1,8÷9 I need step by step​

Answers

Answer:

-0.2

I couldn't get step by step but hope this answer helps out a little...

(Do you need it for ur assignment?)

Step-by-step explanation:

-18/9 = 2, 9 goes into 18, 2 times, but  a negative divided by a positive always = a negative number so the answer would come out to be -2.  

-18/9 = 2, 9 goes into 18, 2 times, but  a negative divided by a positive always = a negative number so the answer would come out to be -2.  

however is you were typing -1.8 / 9 then it would be -0.2. Multiplying -0.2 * 9 would give you -1.8. Same rule applies as to why it's negative

I wasn't sure if the comma was a typo in your question but I Hope this helps :)

p-value for p = 0.23 is closest to: 0.006 or 0.40?

Answers

Answer:

0.40 I'm pretty sure tbh

find the circumference of the circle. PLEASE HELP I HAVE 5 MINUTES LEFT :(

Answers

Answer:

18.84

Step-by-step explanation:

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