Write an equation of the direct variation that includes the point (-10,-17).

Answers

Answer 1

Answer: We know that when x= -10, y= -17.

So, if we put those into direct variation "y=kx", we get
-17= k(-10)
k = -17 / -10

Now we put the value of "k" into the formula and we get A (y= 17/10x )

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The path traveled by a bottlenose dolphin as it jumps out of water is modeled by the equation y = −0.4x2 + 3x, where y is the height above water and x is the horizontal distance in feet. If a beam of light is shone upward at an angle modeled by the equation x + y = 10, at what height from the water's surface will the beam of light hit the dolphin?A)2.7 feet

B)3 feet

C)5 feet

D)5.6 feet

Answers

We can find the answer by solving the two equations simultaneously.

equation 1: y = -0.4x^2 +3xequation 2: x + y = 10
We need to write equation to with y as the subject:equation 2: y = 10 - x

equation 1 = equation 2:
10 - x = -0.4x^2 + 3x0.4x^2 - 4x + 10 = 02x^2 - 20 + 50 = 0(2x - 10)(x - 5) = 0x = -10/2 or x = 5

But x >= 0 (the question says it's a height above the water), so x = 5

Substituting x = 5 into one of the equations:
y = 10 - x
y = 10 - 5
y = 5

So the answer is C

Answer:

5 feet

Step-by-step explanation:

y = 5

Replace the? with one of following symbols (<, >, =, or) 2+3? 4+1

Answers

It would be the = sign because 2+3 equals 5, and so does 4+1.

The answer is (=) the equal sign.

How many solutions exist for the given equation?

1/2(x + 12) = 4x – 1

Answers

$(1)/(2) (x+12)=4x-1$

Multiply both sides by 2 :

$(1)/(2)(x+12)*2 = 4x*2-1*2$

$x+12=8x-2$

$x+12-12=8x-2-12$

$x=8x-14$

Subtract 8 x from both sides:

$x-8x=8x-14-8x$

$-7x=-14$

Divide both sides by -7 :

$(-7x)/(-7) = (-14)/(7)$

$x = (14)/(7)$

$x = 2$

1 solution

hope this helps!

Answer:

B.one

Step-by-step explanation:

there is only one solution to the problem.

Write the 4th degree polynomial function shown by the graph. The factors of the polynomial functions are

Answers

(x+3)(x+1)(x-2)(x-3) was the answer - second choice in my options.

Answer to the second question - A=2

Answer:

EDGE 2021

1) B

2) a=2

Step-by-step explanation:

you've got this

The perimeter of a rhombus is 28 centimeters. What is the length of each side of the rhombus?

Answers

All sides of a rhombus are congruent. 28/4 (four sides) =7

Each side is 7 cm long

Answer:

Each side is 7 cm long

Choose the equivalent system of linear equations that will produce the same solution as the one given below.6x + 2y = −6
3x − 4y = −18

12x + 4y = −12
15x = −30
8x + 4y = −4
14x = −10
6x − 8y = −36
−6y = −42
6x − y = −15
3y = 9

Answers

The given system of equation:
$6x+2y=-6 \ \ \ \ \ \ \ \ \ \ \ \ \ \ |* 2 \n3x-4y=-18 \n \n12x+4y=-12 \n\underline{3x-4y=-18 \ \ } \n15x=-30 \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ |/ 15 \nx=-2 \n \n3x-4y=-18 \n3 * (-2)-4y=-18 \n-6-4y=-18 \ \ \ \ \ \ \ \ \ \ \ \ |+6 \n-4y=-12 \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ |/ (-4) \ny=3 \n \n(x,y)=(-2,3)$

Answer options:
1.
$12x+4y=-12 \n15x=-30 \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ |/ 15 \n \n12x+4y=-12 \nx=-2 \n \n12 * (-2)+4y=-12 \n-24+4y=-12 \ \ \ \ \ \ \ \ \ \ |+24 \n4y=12 \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ |/ 4 \ny=3 \n \n(x,y)=(-2,3) \n\hbox{the same solution}$

2.
$8x+4y=-4 \n14x=-10 \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ |/ 14 \n \n8x+4y=-4 \nx=-(10)/(14)=-(5)/(7) \n \nx=-(5)/(7) \not= -2 \n\hbox{not the same solution}$

3.
$6x-8y=-36 \n-6y=-42 \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ |/ (-6) \n \n6x-8y=-36 \ny=7 \n \ny=7 \not= 3 \n\hbox{not the same solution}$

4.
$6x-y=-15 \n3y=9 \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ |/ 3 \n \n6x-y=-15 \ny=3 \n \n6x-3=-15 \ \ \ \ \ \ \ \ \ |+3 \n6x=-12 \ \ \ \ \ \ \ \ \ \ \ \ \ \ |/ 6 \nx=-2 \n \n(x,y)=(-2,3) \n\hbox{the same solution}$

The equivalent systems of equations are 1 and 4:
12x+4y=-12
15x=-30
and
6x-y=-15
3y=9

Answer:12x+4y=-12

15x=-30

Step-by-step explanation:

just took the test and had to use the answer below to get it right but they got to answers :// thats dumb but theres the answer start forward

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