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Gekata [30.6K]
3 years ago
7

Use the quadratic formula to solve for x 8x^2+7x+1=0 plz help

Mathematics
2 answers:
vagabundo [1.1K]3 years ago
4 0

Answer:

X= -7 ± √17 / 16

x= - 0.7798...

Step-by-step explanation:

Katarina [22]3 years ago
3 0

Step-by-step explanation:

8x {}^{2}  + 7x + 1 = 0 \\ d = 49 - 32 = 1 \\ x1 =  \frac{ - 7 -  \sqrt{17} }{16}  \\ x2 =  \frac{ - 7  + \sqrt{17} }{16}

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What is the equation of a line with a slope of ​3​ and a point
seraphim [82]
Answer: y = 3x-8

------------------------------------------------
------------------------------------------------

Explanation:

The slope is 3, so m = 3

The given point is (3,1) meaning x = 3 and y = 1. The x coordinate is always listed first in an ordered pair. The general format is (x,y)

We'll use m = 3, x = 3 and y = 1 to find the y intercept

y = mx+b
y = m*x+b
1 = 3*3+b ... plug in m = 3, x = 3 and y = 1
1 = 9+b
1-9 = 9+b-9 ... subtract 9 from both sides
-8 = b
b = -8

----------------

So we're given m = 3 as the slope and we just found that b = -8 is the y intercept

So y = mx+b updates to y = 3x-8. This is the final answer.

----------------

Side Notes:
* The slope of 3 means rise/run = 3/1 indicating each time we go up 3, we move to the right 1
* The y intercept -8 is the location on the vertical y axis numberline where the graph crosses. The point (0,-8) is on this line.

8 0
4 years ago
What is 4 1/4 divied by 3 1/2​
Ludmilka [50]

Answer:

1  3/14

Step-by-step explanation:

7 0
3 years ago
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Solve the equation using elimination. Is this a consistent, inconsistent, or dependent? What is the solution
Basile [38]

9514 1404 393

Answer:

  (x, y) = (-1, -3)

Step-by-step explanation:

The equations are "consistent" and "not dependent." This will be the case whenever the ratios of x- and y-coefficients are different.

__

We can solve this by "elimination" by multiplying the first equation by -4 and adding the result of the second equation being multiplied by 7.

  -4(2x -7y) +7(7x -4y) = -4(19) +7(5)

  -8x +28y +49x -28y = -76 +35 . . . . eliminate parentheses

  41x = -41 . . . . . simplify

  x = -1 . . . . . . . divide by 41

Using the second equation, we find y to be ...

  (7x -5)/4 = y = (7(-1) -5)/4 = -12/4 = -3

So, the solution is (x, y) = (-1, -3).

7 0
3 years ago
A collection of coins contains a total of sixteen dimes and quarters. It is worth $2.20 in all. How many dimes are in the collec
grin007 [14]

9514 1404 393

Answer:

  12 dimes

Step-by-step explanation:

Let q represent the number of quarters. Then the number of dimes is 16-q and the total value is ...

  0.25q +0.10(16 -q) = 2.20

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5 0
3 years ago
What is the inverse of the function f(x) = 2x + 1?
Luda [366]

Answer:

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Step-by-step explanation:

* Lets explain how to find the inverse of a function

- To find the inverse of a function :

# Write y = f(x)

# Switch the x and y

# Solve to find the new y

# The new y is f^{-1}

* Lets solve the problem

∵ f(x) = 2x + 1

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∴ y = 2x + 1

- Switch x and y

∴ x = 2y + 1

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- Divide both sides by 2

∴ (x - 1)/2 = y

- Divide each term in the left hand side by 2

∴ y = 1/2 x - 1/2

- Replace y by f^{-1}

∴ f^{-1}(x)=\frac{1}{2}x-\frac{1}{2}

* The inverse of the function is f^{-1}(x)=\frac{1}{2}x-\frac{1}{2}

7 0
4 years ago
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