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Helga [31]
1 year ago
12

Image is the equation

Mathematics
1 answer:
Leni [432]1 year ago
6 0

Answer:

y = \frac{3}{4} x + 8

Step-by-step explanation:

the equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

here m = \frac{3}{4} , then

y = \frac{3}{4} x + c ← is the partial equation

to find c substitute (- 4, 5 ) into the partial equation

5 = - 3 + c ⇒ c = 5 + 3 = 8

y = \frac{3}{4} x + 8 ← equation of line

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For f(x)=1/x^2-3
igomit [66]

For f(x)=1/x^2-3

Find  

A) f(3)

B) f(2-h)

If f(x)=1/x^2-3, then f(3) = 1 / 3^2 - 3.  The exponentiation here must be carried out first:  f(3) = 1/9 - 3.  Then f(3) = 1/9 - 27/9 = -26/9

If f(x)=1/x^2-3, then f(2-h) = 1 / [2-h]^2 - 3.  This result may be left as is or expanded.  In expanded form, we have:

                     1

f(2-h) = ------------------ - 3

              4-4h +h^2

5 0
3 years ago
The amount c in grams of a 100 gram sample of carbon-14 remaining after t years is represented by the equation c= 100 (0.99988)t
tigry1 [53]

Answer: The amount of carbon-14 remaining after 4 years is 99.95 grams.

Step-by-step explanation:

Hi, to answer this question we simply have to substitute t=4 in the equation given and solve for c.

c= 100 (0.99988)^t

c =100 (0.99988)^4

c = 100 x 0.999520086

c= 99.95200864 ≅99.95 grams (rounded)

The amount of carbon-14 remaining after 4 years is 99.95 grams.

Feel free to ask for more if needed or if you did not understand something.

8 0
3 years ago
What is the answer for the equation 4|x+1/3|=20 ?
Llana [10]
I hope this helps you...

6 0
3 years ago
Read 2 more answers
What equation is graphed in this figure?
Ksivusya [100]

to get the equation of any straight line, we simply need two points off of it, let's use those two points in the picture below.

(\stackrel{x_1}{0}~,~\stackrel{y_1}{2})\qquad (\stackrel{x_2}{1}~,~\stackrel{y_2}{5}) ~\hfill \stackrel{slope}{m}\implies \cfrac{\stackrel{rise} {\stackrel{y_2}{5}-\stackrel{y1}{2}}}{\underset{run} {\underset{x_2}{1}-\underset{x_1}{0}}}\implies \cfrac{3}{1}\implies 3 \\\\\\ \begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_2=m(x-x_2) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_2}{5}=\stackrel{m}{3}(x-\stackrel{x_2}{1})

keeping in mind that for the point-slope form, either point will do, in this case we used the second one, but the first one would have worked just the same.

7 0
2 years ago
A continuous random variable may assume :
vova2212 [387]

Answer:

Option A) any numerical value in an interval or collection of intervals

Step-by-step explanation:

Continuous Random Variable:

  • A continuous random variable can take any value within an interval.
  • Thus, it can take infinite values since there are infinite numbers in an interval.
  • A continuous variable is a variable whose value is obtained by measuring.
  • Examples: height of students in class , weight of students in class, time it takes to get to school, distance traveled between classes.
  • Thus, the correct meaning of continuous random variable is explained by Option A)

Option A) any numerical value in an interval or collection of intervals

6 0
3 years ago
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