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3 years ago

Write a quadratic equation with the given vertex.

Mathematics

1 answer:

timurjin [86]3 years ago

4 0

Answer:

See below

Step-by-step explanation:

$14. \: vertex \: ( - 4, \: - 3) \\ require \: quadratic \: equation \\ {x}^{2} - ( - 4 - 3)x + ( - 4)( - 3) = 0 \\ {x}^{2} + 7x + 12 = 0 \\ \\ 15. \: vertex \: ( - 2, \: 1) \\ require \: quadratic \: equation \\ {x}^{2} - ( - 2 + 1)x + ( - 2)( 1) = 0 \\ {x}^{2} + x - 2 = 0\\ \\ 16. \: vertex \: ( 3, \: 8) \\ require \: quadratic \: equation \\ {x}^{2} - ( 3 + 8)x + (3)( 8) = 0 \\ {x}^{2} + 11x - 24 = 0$

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Y = mx + b solve for m (literal equations)

Lerok [7]

Y = mx + b...subtract b from both sides
y - b = mx...now divide both sides by x
(y - b) / x = m

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4 years ago

Brandon and Nolan work at a furniture store. Brandon is paid $235 per week plus 6% of his total sales in dollars, x, which can b

Helen [10]

The value of "x" is 14400 dollars that will make their weekly pay the same

Solution:

Given that,

Brandon is paid $235 per week plus 6% of his total sales in dollars, x, which can be represented by g (x) =235 + 0.06x

g(x) = 235 + 0.06x ----- eqn 1

Nolan is paid $667 per week plus 3% of his total sales in dollars, x, which can be represented by f(x ) = 667 + 0.03x

f(x) = 667 + 0.03x ----------- eqn 2

Determine the value of x, in dollars, that will make their weekly pay the same

For their weekly pay to be same, g(x) = f(x)

235 + 0.06x = 667 + 0.03x

Move the variables to one side and constants to other side

0.06x - 0.03x = 667 - 235

0.03x = 432

x = 14400

Thus value of "x" is 14400 dollars that will make their weekly pay the same

6 0

3 years ago

The tee for the sixth hole on a golf course is 400 yards from the tee. On that hole, Marsha hooked her ball to the left, as sket

Lubov Fominskaja [6]

Answer:

181.8 yd

Step-by-step explanation:

The law of cosines is good for this. It tells you for triangle sides 'a' and 'b' and included angle C, the length of 'c' is given by ...

c^2 = a^2 +b^2 -2ab·cos(C)

For the given geometry, this is ...

c^2 = 400^2 +240^2 -2(400)(240)cos(16°) ≈ 33,037.75

c ≈ √33037.75 ≈ 181.8 . . . yards

Marsha's ball is about 181.8 yards from the hole.

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3 years ago

Write an equation of the line in slope-intercept form that crosses the y-axis at 3 and increases at a rate of 1?

NISA [10]

Y = mx + b

m = 1
b = 3

y = x+3

Hope it helps :)

5 0

3 years ago

Drag < or > to complete each equation. Use the number lines as needed.

mrs_skeptik [129]

Answer:

7/8 + 7/8 > 2

Step-by-step explanation:

7/8 + 7/8 = 14/8 lr 1 6/8 or 1 3/4

6 0

3 years ago

Write a quadratic equation with the given vertex.​

Write a quadratic equation with the given vertex.