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antiseptic1488 [7]
1 year ago
11

PLEASE HELP ASAP!!

Mathematics
1 answer:
Elza [17]1 year ago
7 0

Answer:

The parabolic equation does not intersect the linear equation.

Explanation:

Given equation's:

  • y = x² − 5x + 9
  • y = -2x

To solve , use substitution method by inserting 2nd equation into 1st

\sf y = x^2 - 5x + 9

when substituted y = -2x

\sf -2x = x^2 - 5x + 9

collect terms

\sf  x^2 - 5x+ 2x + 9=0

simplify

\sf  x^2 - 3x + 9=0

Find discriminant:

\sf b^2 - 4ac

\sf (-3)^2 - 4(1)(9)

\sf -27

As the discriminant is negative, it tell us that they both does not intersect each other.

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2. Evaluate f(x) = 3x+5/x-1<br> at x = 3
pashok25 [27]

Answer

Let f(x) = ax + b

Then

f(x + 1) = a(x + 1) + b

= ax + a + b

Hence, a = 3, and a + b = 5, b = 2

f(-2) = 3(-2) + 2

= -6 + 2

= - 4

f(2x) = 3(2x ) + 2

= 6x + 2

6 0
3 years ago
Solve for x4:=(-8)+3x
Bingel [31]
I added 8 on both sides to get 12=3x then I divided by 3 on both sides to get x=4
7 0
3 years ago
What is the slope of the line that passes through the points (1, -6)(1,−6) and (-8, 9) ?(−8,9)?
Monica [59]

Answer:

The answer to your question is  m = -5/3      

Step-by-step explanation:

Data

Point 1 = (1, -6)

Point 2 = (-8, 9)

Process

To find the slope just substitute the values in the formula and simplify.

Formula

slope = m = (y2 - y1) / (x2 - x1)

-Identify x1, y1, x2 and y2

  x1 = 1    y1 = -6   x2 = -8  y2 = 9

-Substitution

             m = (9 + 6) / (-8 - 1)

-Simplification

             m = 15/-9

-Result

             m = -5/3            

4 0
3 years ago
Find the value of r so that the line through (8,r) and (4,5) has a slope of -4
Ratling [72]

Answer:

r = - 11

Step-by-step explanation:

Calculate the slope m using the slope formula and equate to - 4

m = \frac{y_{2}-y_{1}  }{x_{2}-x_{1}  }

with (x₁, y₁ ) = (4, 5) and (x₂, y₂ ) = (8, r)

m = \frac{r-5}{8-4} = \frac{r-5}{4} = - 4 ( multiply both sides by 4 )

r - 5 = - 16 ( add 5 to both sides )

r = - 11

7 0
2 years ago
A car maintains a speed of 23 mi/h for 5 seconds. It then accelerates to a speed of 46 mi/h in 5 seconds. It maintains that spee
Vika [28.1K]
The answer is a because it starts at 0 then goes up to 23 and then it goes up to 46.
6 0
2 years ago
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