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3 years ago

Graph y=8.5xy=8.5xy, equals, 8, point, 5, x.

Mathematics

1 answer:

Morgarella [4.7K]3 years ago

3 0

Answer:

A, B, E

Step-by-step explanation:

<u>Given equation</u>

y = 8.5x

<u>Answer choices</u>

A. The equation represents a proportional relationship.

TRUE, it is in the form of y = kx

B. The unit rate of change of y with respect to x is 8.5

TRUE, y = mx + b, the slope m = 8.5 is the rate of change

C. The slope of the line is 2/17

False, the slope is 8.5

D. A change of 17 units in x results in a change of 2 units in y.

False, a change of x = 17 results in 17*8.5 = 144.5 units in y

E. A change of 4 units in x results in a change of 34 units in y.

TRUE, because 4*8.5 = 34

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AB = 2x-5 BC = 6x AC = 27

OlgaM077 [116]

Answer:

correct answer is x = 2.75

Step-by-step explanation:

Given;

AB = 2x-5

BC = 6x

AC = 27

Hence,

=> AC = AB + BC

=> 27 = 2x-5 + 6x

=> 27 = 8x-5

=> 27-5 = 8x

=> 22 = 8x

=> 22/8 = x

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3 years ago

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yan [13]

Answer:

$y=-\dfrac{1}{2}(x+4)^2-1$

Step-by-step explanation:

Vertex form: $y=a(x-h)^2+k$

where:

$(h, k)$ is the vertex
$a$ is some constant

Given:

vertex = (-4, -1)
point on parabola = (-2, -3)

Substitute given values into the formula to find $a$ :

$\implies -3=a((-2)-(-4))^2+(-1)$

$\implies -3=a(2)^2-1$

$\implies -3=4a-1$

$\implies -2=4a$

$\implies a=-\dfrac{2}{4}=-\dfrac{1}{2}$

Therefore, the equation of the parabola is:

$y=-\dfrac{1}{2}(x+4)^2-1$

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Brut [27]

The answer is 445363.571429!

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