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
Oxana [17]
3 years ago
7

Where do the equations y=-4x+8 and y=3x+1 meet

Mathematics
1 answer:
Dafna11 [192]3 years ago
7 0

Answer:

l think they meet when collecting like terms.maybe like this

y=4x8

y=3x+1

=(4×+3x)+1+8

You might be interested in
The store paid $2. 70 for a book and sold it for $6. 20. What is the profit as a percent?.
bogdanovich [222]

Answer:

profit = 129.63% (to the nearest hundredth) as a percent of the price the store paid for the book

Step-by-step explanation:

Use the percentage change formula:

percent change = [ (difference between the initial value and the final value) ÷ initial value] x 100

= [ (6.20 - 2.70) ÷ 2.70 ] x 100

= [ 3.5 ÷ 2.70 ] x 100

= 37/27  x 100

= 129.6296296...

= 129.63% (to the nearest hundredth)

5 0
2 years ago
What is 3 to the power of 3 over 2 equal to?
ddd [48]
27/2. 3x3x3 is 27.                                   .

5 0
3 years ago
Read 2 more answers
#2 Find the slope given the points (6,-12) and (15,-3)*
castortr0y [4]

Greetings :)

To find slope of two points we will need to use this equation:   \frac{y^2-y^1}{x^2-x^1}

 x^1     x^2     y^1    y^2  

( 6 , -12 ) ( 15 , -3 )

Now let's replace the equation with the numbers. (it will be a fraction).

\frac{-3-(-12)}{15-12}         =         \frac{9}{9}

The equation equals 9 over 9, which also equals 1.

The slope of the line is 1.

4 0
3 years ago
The U.S. Bureau of Economic Statistics reports that the average annual salary in the metropolitan Boston area is $50,542. Suppos
xenn [34]

Answer:

(a) P(X > $57,000) = 0.0643

(b) P(X < $46,000) = 0.1423

(c) P(X > $40,000) = 0.0066

(d) P($45,000 < X < $54,000) = 0.6959

Step-by-step explanation:

We are given that U.S. Bureau of Economic Statistics reports that the average annual salary in the metropolitan Boston area is $50,542.

Suppose annual salaries in the metropolitan Boston area are normally distributed with a standard deviation of $4,246.

<em>Let X = annual salaries in the metropolitan Boston area</em>

SO, X ~ Normal(\mu=$50,542,\sigma^{2} = $4,246^{2})

The z-score probability distribution for normal distribution is given by;

                      Z  =  \frac{X-\mu}{\sigma }  ~ N(0,1)

where, \mu = average annual salary in the Boston area = $50,542

            \sigma = standard deviation = $4,246

(a) Probability that the worker’s annual salary is more than $57,000 is given by = P(X > $57,000)

    P(X > $57,000) = P( \frac{X-\mu}{\sigma } > \frac{57,000-50,542}{4,246 } ) = P(Z > 1.52) = 1 - P(Z \leq 1.52)

                                                                     = 1 - 0.93574 = <u>0.0643</u>

<em>The above probability is calculated by looking at the value of x = 1.52 in the z table which gave an area of 0.93574</em>.

(b) Probability that the worker’s annual salary is less than $46,000 is given by = P(X < $46,000)

    P(X < $46,000) = P( \frac{X-\mu}{\sigma } < \frac{46,000-50,542}{4,246 } ) = P(Z < -1.07) = 1 - P(Z \leq 1.07)

                                                                     = 1 - 0.85769 = <u>0.1423</u>

<em>The above probability is calculated by looking at the value of x = 1.07 in the z table which gave an area of 0.85769</em>.

(c) Probability that the worker’s annual salary is more than $40,000 is given by = P(X > $40,000)

    P(X > $40,000) = P( \frac{X-\mu}{\sigma } > \frac{40,000-50,542}{4,246 } ) = P(Z > -2.48) = P(Z < 2.48)

                                                                     = 1 - 0.99343 = <u>0.0066</u>

<em>The above probability is calculated by looking at the value of x = 2.48 in the z table which gave an area of 0.99343</em>.

(d) Probability that the worker’s annual salary is between $45,000 and $54,000 is given by = P($45,000 < X < $54,000)

    P($45,000 < X < $54,000) = P(X < $54,000) - P(X \leq $45,000)

    P(X < $54,000) = P( \frac{X-\mu}{\sigma } < \frac{54,000-50,542}{4,246 } ) = P(Z < 0.81) = 0.79103

    P(X \leq $45,000) = P( \frac{X-\mu}{\sigma } \leq \frac{45,000-50,542}{4,246 } ) = P(Z \leq -1.31) = 1 - P(Z < 1.31)

                                                                      = 1 - 0.90490 = 0.0951

<em>The above probability is calculated by looking at the value of x = 0.81 and x = 1.31 in the z table which gave an area of 0.79103 and 0.9049 respectively</em>.

Therefore, P($45,000 < X < $54,000) = 0.79103 - 0.0951 = <u>0.6959</u>

3 0
3 years ago
PLEASE HELP ME!! <br> What is the equation of the line in slope-intercept form?
OlgaM077 [116]
Is there suppose to be a picture for your question?

7 0
3 years ago
Read 2 more answers
Other questions:
  • Write a sentence that explains the relationship between the two numbers.
    14·1 answer
  • WILL GIVE BRAINLIST! :)) AND 20 POINTS
    13·1 answer
  • $28 lunch; 15% tip what's the answer
    13·1 answer
  • The price with tip is $46 and the percent tip is 15% what is the total bill before the tip
    13·2 answers
  • If tan⁡ x= root of 3, and 180°
    13·1 answer
  • Simplify : -26b^2 + (-27b^2)
    12·2 answers
  • Name
    12·1 answer
  • What are the solutions of this quadratic equation ? x ^ 2 = 16x - 65 Substitute the values of a and b to complete the solutions
    8·1 answer
  • In a race, Jason's position was -11 1/5 feet relative to the leader after 1 3/4 minutes. On average, how much did Jason's positi
    12·1 answer
  • In a normal distribution, 95% of the data fall within how many standard
    13·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!