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sweet [91]
3 years ago
9

What is the equation of the line that passes through the points given in the table

Mathematics
1 answer:
Zepler [3.9K]3 years ago
7 0

Answer:

B: y = -2x + 5

Step-by-step explanation:

-2 - 1 = -3

9 - 3 = 6

\frac{6}{-3} = -2

gradient = -2

3 = 1 x -2 + c

3 = -2 + c

5 = c

y intercept = 5

equation = y = -2x + 5

so the answer is option b

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A Nike jacket has a regular price of $64. You have a coupon for 15% off.
lakkis [162]

Answer:the anewer is

Step-by-step explanation:

54.4 dollars

7 0
2 years ago
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Subsubstitution solving for x ​
yuradex [85]

y = 8x - 18

2x - 8(8x - 18) = 20

2x + -64x + 144 = 20

-62x + 144 = 20

-62x = -124

x = 2

6 0
3 years ago
I can't figure this out
andriy [413]
Suppose that equation of parabola is
y =ax² + bx + c


Since parabola passes through the point (2,−15) then 
−15 = 4a + 2b + c

Since parabola passes through the point (-5,-29), then
−29 = 25a − 5b + c

Since parabola passes through the point (−3,−5), then 
−5 = 9a − 3b + c


Thus, we obtained following system:
4a + 2b + c = −15
25a − 5b + c = −29
9a − 3b + c = −5

Solving it we get that 
a = −2, b = −4, c = 1

Thus, equation of parabola is
y = −2x²− 4x + 1

____________________

Rewriting in the form of 
(x - h)² = 4p(y - k)

i) -2x² - 4x + 1 = y

ii) -3x² - 7x = y - 11
(-3x² and -7x are isolated)

iii) -3x² - 7x - 49/36 = y - 1 - 49/36
(Adding -49/36 to both sides to get perfect square on LHS)

iv) -3(x² + 7/3x + 49/36) = y - 3
(Taking out -3 common from LHS)

v) -3(x + 7/6)² = y - 445/36 

vi) (x + 7/6)² = -⅓(y - 445/36) 
(Shifting -⅓ to RHS)

vii) (x + 1)² = 4(-1/12)(y - 445/36)
(Rewriting in the form of 4(-1/12) ; This is 4p) 


So, after rewriting the equation would be - 

(x + 7/6)² = 4(-⅛)(y - 445/36)

__________________

I hope this is what you wanted.

Regards,
Divyanka♪
__________________
6 0
3 years ago
Read 2 more answers
10 increased by the quotient of a number and 6 is 15
Makovka662 [10]
<h2>Verbal Phrase to Mathematical Phrase</h2><h3>Answer:</h3>

10 +\frac{n}{6} = 15\\

<h3>Step-by-step explanation:</h3>

Let that number be n.

The quotient of a number and 6 is \frac{n}{6}\\.

"Increased" is just another term for "plus (+)" so 10 increased by The quotient of a number and 6 is 10 + \frac{n}{6}\\

And it tells us that it is 15 so it must be 10 +\frac{n}{6} = 15\\

3 0
2 years ago
What is the length of the base of a triangle with height 20 cm and area 150 cm2?
RSB [31]
<span>For you: Area = 150 and height = 20 


Plugging those into the formula, you get 
Multiply .5 and 20: 
To get base by itself, divide by 10 on both sides:  

The base is 15 cm.</span>
4 0
3 years ago
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