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
Kaylis [27]
3 years ago
11

Define a variable, write an inequality, and solve each problem. Check your solution.

Mathematics
1 answer:
grandymaker [24]3 years ago
7 0

Answer:

Step-by-step explanation:

You might be interested in
Help please! Could you explain it too?
Anettt [7]

Answer:

a) not proportional

b) proportional; k = -\frac{3}{5}

Step-by-step explanation:

a) for any proportional equation, the line must pass through the origin. The equation in a) is y = 4x + 1, and the '+1' is the y-intercept. This means that the line does not pass through the origin, so x and y cannot increase by the same amount (i.e. they are not proportional).

Another way to determine this is is to use the y = kx base. If you have an equation that fits that it's likely proportional.

Here, if the equation was only y = 4x then it'd be proportional because u can see that k = 4. This is not the equation though, and the 4x + 1 doesn't fit to the y = kx formula so it can't be proportional.

b) straight away you can see that there's no 'c' term (y = mx + c) which means the y-intercept is 0, so the line passes through the origin. While this does not immediately mean the line is proportional, you can make sure that it is by checking it fits with the y = kx equation.

y = -(3/5)x fits with y = kx, with k being -3/5

3 0
2 years ago
Write a mathematical sentence for the inequality twice the difference of a number and seven is less than or equal to forty
Illusion [34]

2x +   7\leqslant 40
Sounds like that to me but that is symbolically showing of that's what your teacher means as mathematical sentence
5 0
2 years ago
Read 2 more answers
(8,10) (-7,14) find the slope of the line through each pair of points.
DochEvi [55]
 Slope is rise over run which is -4/15
8 0
3 years ago
Read 2 more answers
If a solution has a ( OH- )= 8.6 × 10-5 what is the pOH
riadik2000 [5.3K]
POH is the -log [ OH- ]. Using this equation, simply find the -log of the OH- concentration to find the pOH:

pOH = - log ( 0.000086 ) = 4.07


6 0
3 years ago
Two fair dice, one yellow and one blue, are rolled. The value of the blue die is subtracted from the value of the yellow die. Wh
mario62 [17]

Answer:

B) symmetric

Step-by-step explanation:

We will find the sample space for rolling two dices first

Here first value in ordered pair represents yellow die and second represents blue die

(1, 1), (1, 2), (1, 3), (1, 4), (1, 5), (1, 6), (2, 1), (2, 2), (2, 3), (2, 4), (2, 5), (2, 6), (3, 1), (3, 2), (3, 3), (3, 4), (3, 5), (3, 6), (4, 1), (4, 2), (4, 3), (4, 4), (4, 5), (4, 6), (5, 1), (5, 2), (5, 3), (5, 4), (5, 5), (5, 6), (6, 1), (6, 2), (6, 3), (6, 4), (6, 5), (6, 6)

The subtraction gives us:

0 , -1 , -2, -3, -4, -5, 1, 0, -1, -2, -3, -4, 2, 1, 0, -1, -2, -3, 3, 2, 1, 0, -1, -2, 4, 3, 2, 1, 0, -2, 5, 4, 3, 2, 1, 0

So the distribution will be as follows:

X      5       4       3       2        1        0        -1       -2      -3       -4      -5

P(X)  1/36  2/36  3/36 4/36  5/36  6/36  5/36  4/36  3/36  2/36  1/36

By observing the probabilities, we can conclude that the distribution will be symmetric

Hence, Option B is correct ..

4 0
3 years ago
Read 2 more answers
Other questions:
  • for a scale drawing of a bathroom, 1/4 inch represents the actual length of 1 ft., if the bathroom measures 1 1/2 inches by 2 in
    10·1 answer
  • Solve for y and find solution
    14·1 answer
  • The population of a deer in a forest was measured to be 1,537 in the year 2010. If the population increased by a steady 4% per y
    14·1 answer
  • PLEASE ANSWER!!!!!!
    8·2 answers
  • Can y’all help me on question 20?!
    8·2 answers
  • Tyrone had $17,000 to invest. He invested part of that amount at 2.5% annual interest for one year and the other part at 6.5% an
    15·1 answer
  • Please help me with this question​
    12·2 answers
  • Students from Texas, New York, Washington, Florida, and Utah identified their area of concentration at various universities. The
    9·2 answers
  • Help me create three polynomials that match the criteria on the left
    8·1 answer
  • Find the length of the missing side. <br><br> 1) 52 cm<br> 2) 42cm<br> 3) 25 cm<br> 4) 48 cm
    8·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!