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scZoUnD [109]
3 years ago
12

What is the slope of the line with equation y=9x

Mathematics
2 answers:
slava [35]3 years ago
4 0
The slope would be 9/1 using the formula mx+b in which m is the slope and b is the y-intercept
Anastaziya [24]3 years ago
4 0

<span><span><span><span>
</span></span><span>y = –9x – 3 -------(1) 
slope of a line is given by the equation 

y = mx +c 
here m = slope 
compare the equation (1) with the standard form y = mx + c 

we find slope (m) = -9 
To find the y intercept put x = 0 in equation(1) 
y = -9(0) - 3 
y = -3 
hence y intercept = -3 </span></span></span>
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Question 2
prisoha [69]

Answer:

Please check the explanation.

Step-by-step explanation:

<u>Calculating the area of the outer rectangle:</u>

Given

  • The length outer rectangle = l = 3x - 1
  • The width of outer rectangle = w = 5x + 2

Thus,

The area of the outer rectangle:

A = wl

    = (5x + 2) (3x - 1)

    =5x\cdot \:3x+5x\left(-1\right)+2\cdot \:3x+2\left(-1\right)

     =5\cdot \:3xx-5\cdot \:1\cdot \:x+2\cdot \:3x-2\cdot \:1

      =15x^2+x-2

<u>Calculating the area of the inner rectangle:</u>

Given

  • The length inner rectangle = l = x + 7
  • The width of inner rectangle = w = x

Thus,

The area of the outer rectangle:

A = wl

   = x(x+7)

   = x² + 7

<u>Calculating the area of the shaded region:</u>

As

The area of the outer rectangle = 15x² + x - 2

The area of the inner rectangle = x² + 7

  • The area of the shaded region can be determined by subtracting the area of the inner rectangle from the area of the outer rectangle.

Thus,

shaded region Area = Outer Rectangle Area - Inner Rectangle Area

                                  = 15x² + x - 2 - (x² + 7)

                                   =  15x² + x - 2 - x² - 7

                                   = 14x² + x - 9

Therefore, the Area of the shaded region is: 14x² + x - 9

4 0
3 years ago
Nathan had an infection, and his doctor wanted him to take penicillin. Because Nathan’s father and paternal grandfather were all
Art [367]
Nathan has an infection and he needs to be treated with penicillin
But there’s a 75% probability of him being allergic to penicillin
And to test if the skin reacts to penicillin, the test is 98% accuracy
So even if he has the allergy the test is only 98% accurate of identifying the allergy
Therefore we are asked to find the probability of both these events happening
Event 1 and event 2 both should happen then. When the ‘and’ function is used in probabilities then the probabilities of both events happening should be multiplied
Therefore probability that Nathan has the allergy and test predicts it is
= 75% x 98% = 0.735
The answer is D. 0.735
6 0
3 years ago
Celeste started a new job with $500 in her account. after 50 hours of work, she deposits her pay check and she has $1500.
vovikov84 [41]

Answer:

$20 per hour

Step-by-step explanation:

1500 - 500 = 1000

1000 divided by 50 = 20

To check:

20 x 50 = 1000

7 0
3 years ago
In an experiment on the behavior of young children, each placed in an area with five toys. The variable of interest X is the num
Fofino [41]

Answer:

a)15 b)2.34 c)by taking sum of number of toy divide to its numberings

Step-by-step explanation:

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Is it equally likely to steal second base during a baseball game?
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Yes it is because of the chimney
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