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vovangra [49]
3 years ago
14

Please answer and explain these 3 questions. Thank you!

Mathematics
1 answer:
Gwar [14]3 years ago
3 0
QUESTION 1

We want to find the equation of the straight line that passes through the point
(1,24)
and has slope
m =  - 0.6


We use the point slope formula

y-y_1=m(x-x_1)

to obtain,

y - 24 =  - 0.6(x - 1)


We multiply through by 10 to get,


10y - 240 =  - 6(x - 1)


We expand bracket to get,

10y - 240 =  - 6x + 6


We group the constants on the right hand side to get,


10y + 6x = 6 + 240


we simplify to get,

10y + 6x = 246

Divide through by 2,


5y + 3x = 123

or

3x + 5y = 123

The correct answer is H.



QUESTION 2


We want to find the equation of a line that passes through
(6,-8)
with slope
m = 0

We apply the point slope formula


y-y_1=m(x-x_1)


to obtain,


y + 8 = 0(x - 6)


y + 8 = 0


y =  - 8

The correct answer is J.


QUESTION 3


We want to find the equation of the straight line that passes through,

(4,-8)

and has slope

m =  \frac{1}{4}


We apply the point-slope formula


y-y_1=m(x-x_1)


to obtain,



y + 8 =  \frac{1}{4} (x - 4)


Let us multiply through by 4 to get,


4y + 32 = x - 4
We group the constant terms on the right hand side to obtain,

4y - x =  - 4 - 32

This simplifies to,

4y - x =  - 36

We multiply through by -1 to get,


x - 4y = 36

The correct answer is A.
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Evaluate the function.<br><br> f(x) = x² - 4x – 12<br><br> Find f(-7)
pashok25 [27]

Answer:

Your answer is 65

Step-by-step explanation:

f(x) = x² - 4x - 12

f(-7) = (-7)² - 4 x (-7) - 12

= 49 - (-28) - 12

= 49 + 28 - 12

= 77 - 12

= <u>65</u>

7 0
1 year ago
Is a function always a relation
ziro4ka [17]

Answer:

No, to be a function a relation must fulfill two requirements: existence and unicity.

Step-by-step explanation:

  • Existence is a condition that establish that every element of te domain set must be related with some element in the range. Example: if the domain of the function is formed by the elements (1,2,3), and the range is formed by the elements (10,11), the condition is not respected if the element "3" for example, is not linked with 10 or 11 (the two elements of the range set).
  • Unicity is a condition that establish that each element of the domain of a relation must be related with <u>only one</u> element of the range. Following the previous example, if the element "1" of the domain can be linked to both the elements of the range (10,11), the relation is not a function.
3 0
3 years ago
If x = -6, which inequality is true?
Sveta_85 [38]

Answer:

A

Step-by-step explanation:

-5 - 3(-6) > 10

-5 - -18 > 10

-5 + 18 > 10

13 > 10

3 0
2 years ago
Given the function f(x) = -5|x + 1| + 3, for what values of x is f(x) = -12? O X= -2. x = 1 O x= -2 x = 4 O x = 2. x = 4 O x = 2
puteri [66]

The values are x= -2 and x =4 of the given function f (x) =-5|x+1| +3

<h3>What is function?</h3>

Function is an expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable (the dependent variable).

According to the question,

The given function is

f(x) = -5|x + 1| + 3

Here f(x) = -12

Substitute f(x) and solve for x

- 12 = -5|x + 1| + 3

By subtracting 3 on both sides

- 12 - 3 = -5|x + 1| + 3 - 3

- 15 = -5|x + 1|

By dividing -5 on both sides

3 = |x + 1|

We get absolute values for the function.

x + 1 = 3 , x + 1 = -3

By subtracting 1 on both sides

x + 1 - 1 = 3 - 1 = 2\\\\x + 1 - 1 = - 3 - 1 = -4\\\\x = 2 ,  x = - 4

Therefore, the values of x are 2 and - 4 of the given function f (x) =-5|x+1| +3

Learn more about function here: brainly.com/question/12431044

#SPJ1

4 0
1 year ago
Please help i will mark brainliest
il63 [147K]

Answer:

. (5,20)

Step-by-step (x,y)=(5,20)

8 0
2 years ago
Read 2 more answers
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