1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
navik [9.2K]
3 years ago
6

Use substitution to solve each system of equations 2x -y = 6 -3y = -6x + 18

Mathematics
1 answer:
vichka [17]3 years ago
3 0
Hope this helps
Step are all below

You might be interested in
If i=√-1 , what is i^2 equal to ?
Alja [10]

Answer:

-1

Step-by-step explanation:

If i = √-1, then i^2 = -1.

5 0
3 years ago
Find the constant rate of change for each linear function and interpret its meaning
Marina CMI [18]

the slope goes by several names

• average rate of change

• rate of change

• deltaY over deltaX

• Δy over Δx

• rise over run

• gradient

• constant of proportionality

however, is the same cat wearing different costumes.

and to get it, we simply need two points off of the straight line, hmm let's use the ones in the picture below.

(\stackrel{x_1}{2}~,~\stackrel{y_1}{4})\qquad (\stackrel{x_2}{6}~,~\stackrel{y_2}{6}) ~\hfill \stackrel{slope}{m}\implies \cfrac{\stackrel{rise} {\stackrel{y_2}{6}-\stackrel{y1}{4}}}{\underset{run} {\underset{x_2}{6}-\underset{x_1}{2}}}\implies \cfrac{2}{4}\implies \cfrac{1}{2}

3 0
2 years ago
(Photo attached) Trig question. Thanks in advance! :)
kolbaska11 [484]

Answer:

  a) cos(α+β) ≈ 0.8784

  b) sin(β -α) ≈ -0.2724

Step-by-step explanation:

There are a couple of ways to go at these. One is to use the sum and difference formulas for the cosine and sine functions. To do that, you need to find the sine for the angle whose cosine is given, and vice versa.

Another approach is to use the inverse trig functions to find the angles α and β, then combine those angles and find find the desired function of the combination.

For the first problem, we'll do it the first way:

  sin(α) = √(1 -cos²(α)) = √(1 -.926²) = √0.142524 ≈ 0.377524

  cos(β) = √(1 -sin²(β)) = √(1 -.111²) ≈ 0.993820

__

a) cos(α+β) = cos(α)cos(β) -sin(α)sin(β)

  = 0.926×0.993820 -0.377524×0.111

  cos(α+β) ≈ 0.8784

__

b) sin(β -α) = sin(arcsin(0.111) -arccos(0.926)) ≈ sin(6.3730° -22.1804°)

  = sin(-15.8074°)

  sin(β -α) ≈ -0.2724

4 0
3 years ago
A sample of salary offers (in thousands of dollars) given to management majors is: 48, 51, 46, 52, 47, 48, 47, 50, 51, and 59. U
balu736 [363]

Answer:

Step-by-step explanation:

number of samples, n = 10

Mean = (48 + 51 + 46 + 52 + 47 + 48 + 47 + 50 + 51 + 59)/10 = 49.9

Standard deviation = √(summation(x - mean)/n

Summation(x - mean) = (48 - 49.9)^2 + (51 - 49.9)^2 + (46 - 49.9)^2+ (52 - 49.9)^2 + (47 - 49.9)^2 + (48 - 49.9)^2 + (47 - 49.9)^2 + (50 - 49.9)^2 + (51 - 49.9)^2 + (59- 49.9)^2 = 128.9

Standard deviation = √128.9/10 = 3.59

Confidence interval is written in the form,

(Sample mean - margin of error, sample mean + margin of error)

The sample mean, x is the point estimate for the population mean.

Margin of error = z × s/√n

Where

s = sample standard deviation

From the information given, the population standard deviation is unknown and the sample size is small, hence, we would use the t distribution to find the z score

In order to use the t distribution, we would determine the degree of freedom, df for the sample.

df = n - 1 = 10 - 1 = 9

Since confidence level = 95% = 0.95, α = 1 - CL = 1 – 0.95 = 0.05

α/2 = 0.05/2 = 0.025

the area to the right of z0.025 is 0.025 and the area to the left of z0.025 is 1 - 0.025 = 0.975

Looking at the t distribution table,

z = 2.262

Margin of error = 2.262 × 3.59/√10

= 2.57

the lower limit of this confidence interval is

49.9 - 2.57 = 47.33

the lower limit of this confidence interval is

49.9 + 2.57 = 52.47

So it is false

6 0
3 years ago
4. Julie saw 3 eagles each day she went bird-watching. How<br> many eagles did Julie see in 6 days?
Umnica [9.8K]

9514 1404 393

Answer:

  18 eagles

Step-by-step explanation:

Assuming Julie went bird-watching on each of those 6 days, she saw a total of ...

  (3 eagles/day)(6 day) = 3·6 eagles = 18 eagles

6 0
3 years ago
Other questions:
  • Lucie drank 3/4 of a pint of bottled water. One serving of the water is 7/8 of a pint. How much of a serving did she drink.
    8·2 answers
  • Sofia received a 3,000 car loan. She plans on paying off the loan in 2 years. At the end of 2 years, Sofia will have paid $450 i
    12·1 answer
  • <img src="https://tex.z-dn.net/?f=23%20%7B2%7D%5E%7B2%7D%20x%20-%204" id="TexFormula1" title="23 {2}^{2} x - 4" alt="23 {2}^{2}
    8·1 answer
  • A company design a logo using a kite figure around the letter tea
    10·1 answer
  • Please Help. &gt;.&lt;<br><br> Is This True Or False?
    6·2 answers
  • Karin wants to use the distributive property to mentally find the value of 19⋅42+19⋅58. Which expression can she use?
    5·2 answers
  • This question is worth 100 points please answer now. Algebra 2. I will mark you brainliest.
    13·1 answer
  • AJLK ~ APQR. Find the value of x.<br> P<br> 45<br> 36<br> 15<br> 39<br> K<br> 13<br> x=
    14·1 answer
  • Solve for q. Write your answer as “q=___”
    7·2 answers
  • Which is a better buy? 3-pound bag of candy for $6.04 or 9-pound bag of candy for $18.45?
    10·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!