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djverab [1.8K]
3 years ago
12

Construct a linear equation for the table. What is the slope of the line

Mathematics
1 answer:
Klio2033 [76]3 years ago
3 0

We have points (-3, 4), (-1, 2), (4, -3) and (6,-5)

Let's verify it's a line by calculating the slopes between successive points.

Slope is change in y over change in x.

(2 - 4)/(-1 - -3) = -2/2 = -1

(-3 - 2)/(4 - -1) = -5/5 = -1

(-5 - -3)/(6 - 4) = -2/2 =-1

Yup.  We have a line of slope -1 through point (-1, 2)

y - 2 = -1(x - -1)

y  = -x - 1 + 2

y = -x + 1

That's the linear equation for the table.  

Answer:  Linear equation: y = -x + 1          slope = -1

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$3.50 (3 dollar bills, and either a half-dollar or 2 quarters)

Step-by-step explanation:

4 0
4 years ago
Tomato as a taste modifier. Miraculin—a protein naturally produced in a rare tropical fruit—can convert a sour taste into a swee
Minchanka [31]

Answer:

a) .033  b) .4678 c) 100

Step-by-step explanation:

Distribution of miraculin produced is normal. To answer question we need to find the z-score of 100g, 110g and 120g miraculin

General formula for z score is given by

z=\frac{X-M}{s} where

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  • M is the mean miraculin produced for a partucilar tomato plant, which is 105.3
  • s is the standard deviation of the sample, which is 8.0

a)

z-score for 120 g miraculin is \frac{120-105.3}{8} =1.8375 then

P(x > 120) = P(z>1.8375) = 0.033

b)

z-score for 110 g miraculin is \frac{110-105.3}{8} = 0.5875

  z-score for 100 g miraculin is \frac{100-105.3}{8} = -0,6625

P(100 < x < 110) = P(x>100) - P(x>110) =0.7462 - 0,2784 = 0.4678

c)

if P(x < a) = 0.25 then corresponding z score for a is -0.6745. From the above formula we can calculate a:

\frac{a-105.3}{8} =-0.6625 which gives a= 100

8 0
4 years ago
What is the answer of this equation -10-5x=25
atroni [7]

-10-5x=25

-10      -10

-5x=15

5x/5   15/5=3

x=3

6 0
4 years ago
You invest $600 in an account that has a annual interest rate of 7%, compounded quarterly for four years. What is the equivalent
alexandr402 [8]

Answer:

  • equivalent rate: 7.186%
  • compounded 16 times

Step-by-step explanation:

The equivalent interest rate is the rate that would have to be applied so it would earn the same amount in 1 year. It is computed from ...

  requiv = (1 +r/n)^n -1

  requiv = (1 +0.07/4)^4 -1 ≈ 7.186%

__

"Compounded quarterly" means interest is compounded 4 times per year. In 4 years, it will be compounded 4·4 = 16 times.

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The balance in the account after 4 years is ...

  $600·(1 +.07/4)^(4·4) ≈ $791.96

6 0
3 years ago
Please help me asap
Yuliya22 [10]

Answer:

2) 25%

Step-by-step explanation:

4 0
3 years ago
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