what is the equation of the line through (2,3) and (0, -1)

In Functions and Function Notation, we were introduced to the concepts of domain and range. In this section, we will practice determining domains and ranges for specific functions. Keep in mind that, in determining domains and ranges, we need to consider what is physically possible or meaningful in real-world examples, such as tickets sales and year in the horror movie example above. We also need to consider what is mathematically permitted. For example, we cannot include any input value that leads us to take an even root of a negative number if the domain and range consist of real numbers. Or in a function expressed as a formula, we cannot include any input value in the domain that would lead us to divide by 0.

Answer:  f(x)= 2x -3

Step-by-step explanation:

Using the given information we can come up with two points that will be use to find the slope and y-intercept.  

If you input 0 you get -3  so the point will be (0,-3)

If you input 7  you get 11  so the point will be (7,11)

Now use the points to find the difference in their y coordinates and divide it by the difference in their x coordinates to find the slope.

y coordinates:  -3 - 11 = -14

x coordinates:  0 - 7 = -7

  -14/-7 = 2

Since the slope is two, we will use the slope intercept formula (y = mx +b) to find the b which is the y intercept.

Use one of the points and input its x and y coordinates into the formula including the slope to solve for b.

-3= 2(0) +b

-3 = 0 + b

b = -3  

f(x) is the same as y in the formula, meaning that the equation will be  

 f(x) = 2x -3

Answer:

x = 4

Step-by-step explanation:

Given y is directly proportional to x then the equation relating them is

y = kx ← k is the constant of proportion

To find k use the condition y = 24 when x = 6 , then

24 = 6k ( divide both sides by 6 )

4 = k

y = 4x ← equation of proportion

When y = 16, then

16 = 4x ( divide both sides by 4 )

4 = x

Answer:

Green box: 9

Step-by-step explanation:

7/7 x 9/10

1 x 9/10 = 9/10

The area will be 25cm²

HOPE IT HELPS YOU♡♡

Answer:

If the relationship between two quantities is a proportional relationship, this relationship can be represented by the graph of a straight line through the origin with a slope equal to the unit rate. For each point (x, y) on the graph, ž is equal to k, where k is the unit rate. The point (1, k) is a point on the graph.

Answer:

x=0 y=5

trust me I think its right

Answer:

Since p is > α we fail to reject the Null as the result is not significant at α = 0.05

Step-by-step explanation:

Given that:

Mean lifetime (m) = 1200

Sample size (n) = 25

Sample mean (x) = 1180

Standard deviation (s) = 80

α = 0.05

The null hypothesis :

H0 : m = 1200

Alternative hypothesis : m ≠1200

The t statistic :

(x - m) / (s/√n)

(1180 - 1200) / (80 / √25)

-20 / (80/5)

= - 1.250

P value = 0.10565 ( p value calculator)

Reject Null hypothesis if p > α

At α = 0.05

Since p is > α we fail to reject the Null as the result is not significant at α = 0.05

Answer:

[tex]\frac{9}{8}[/tex]

Step-by-step explanation:

Lets look at this in a more simple way!

[tex]-\frac{3}{8}[/tex] ÷ [tex]-\frac{1}{3}[/tex]

Now we can convert division into multiplication and flip the 1 and 3 numbers (in the fraction "[tex]-\frac{1}{3}[/tex]") all the way around and switch their roles as dividend and divisor:

[tex]-\frac{3}{8}[/tex] × [tex]-\frac {3} {1}[/tex]

Now multiply

[tex]\frac{9}{8}[/tex]

And THAT is your quotient of [tex]-\frac{3}{8}[/tex] ÷ [tex]-\frac{1}{3}[/tex].

Hope this helps!

Have a nice day!

If you find my answer helpful

Pls consider marking my answer as Brainliest! It would mean a lot!

Answer:

0.24

Step-by-step explanation:

Have a wonderful day <3

28.6, 25.5, 22.4, 19.3... hope this helps!!

Answer:

Step-by-step explanation:

10% of 900 is 90 (900÷10)

20% of 900 is 180 (90×2)     -     basically the 10% times 2

50% of 900 is 450 (900÷2)

450+180=630         -          the sum of the 20% and 50%

Answer:

I believe they are younger

Step-by-step explanation:

I hope this helps

Answer:

its b

Step-by-step explanation:

Answer:

p is 8

Step-by-step explanation:

4 - 20

then 2 divided by 16

then you get 8

Answer:11. g. 10. 3g. 12. 2p. 4q. 20 g plus 10 is the same as. Twice p plus 4 times q is 20. 3 times g. 13. 4(a b). 9a. 14. 8.

Step-by-step explanation:

i think thats the answer

Step-by-step explanation:

Linear:

4x - y = 3

-6x = 3y - 17

x = y/5

non linear:

(x/2)^2 + 1 = y

y/x^2 = 4

2x^2 = 12 - 8y

Answer:

The answer is B

Step-by-step explanation:

d/r = t

d = 100 m

r = 7.5 m/s

t = ?

t = 100/7.5

Answer:

I believe the answer is B.

Explanation:

If you are trying to find out how fast she ran you need to compare it to the total area of land she ran.

Answer:

y=8

Step-by-step explanation:

(-2,8) (3,8)

x,y. x,y

y2-y1/X2-X1=

8-(8)= 0

3-(-2)= 5

since the two points have 8 in the Y space the line would be equal to y= 8

Answer:

125.7cm²

Step-by-step explanation:

Given parameters:

Slant height, L = 6cm

Base radius  = 4cm

Unknown:

Total surface area = ?

Solution:

To find the total surface area, we use the expression;

      Surface area = [tex]\pi[/tex]r² + [tex]\pi[/tex]rL  

Now insert the parameters and solve

   Surface area = [tex]\pi[/tex]r(r + L )

    Surface area  =  [tex]\pi[/tex] x 4 (4 + 6) = 3.142 x 4 x 10  = 125.7cm²

Answer: He used 765 grams of blueberries.

Step-by-step explanation:

The quantity of blueberries is directly proportional to the quantity of smoothie.

Equation of direct variation : [tex]\dfrac{x_1}{y_1}=\dfrac{x_2}{y_2}[/tex]

Substitute [tex]x_1=340\text{ grams},\ \ \ y_1=24\text{ fluid ounces}[/tex]

[tex]y_2=54\text{ fluid ounces}[/tex]

To find : [tex]x_2[/tex]

[tex]\dfrac{340}{24}=\dfrac{x_2}{54}[/tex]

[tex]\Rightarrow\ x_2=\dfrac{340}{24}\times54\\\\\Rightarrow\ x_2=765[/tex]

Hence, he used 765 grams of blueberries.

Answer:

attached below

Step-by-step explanation:

A dyadic angle is the sum of two principal dyadic angles

lets assume P and Q to be dyadic angles also assuming that they are non-zero in Radians

attached below is the proof that sum and average of two dyadic angles is a dyadic angle

Answer:

C. 48 m

Step-by-step explanation:

The two vertical sides add up to be (8*2) m = 16m.

The two horizontal sides can be added up to (14*2) m = 28m.

(The top horizontal side can be found by pushing the line in the middle up to the level of the other two portions of the same side.)

Finally, add the leftover two sides (2*2) m = 4m.

16+28+4 = 48.

Hope this helped!

Answer:

C-48

Step-by-step explanation:

hi , you need to fill in the blanks and then add them all together

Answer:

4+3x=9

Step-by-step explanation:

All of the other choices equal to 4x+12=9 except 4+3x.

Answer:

5:00 pm

Step-by-step explanation:

Given that:

Temperature at noon = 0°C

Average temperature drop rate = - 0.5°C per hour

What time would temperature be - 2.5°C

Hence, target temperature = - 2.5°C

Time taken for temperature to drop = (target temperature / temperature drop rate)

Time taken = - 2.5°C / - 0.5°C / hr

Time taken = 5 hours

Hence, the time at which temperature will be - 2.5°C equals 5 hours after noon

12: 00 noon + 5 hours = 5:00 pm

Hence, temperature will be - 2.5°C by 5:00 pm