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3 years ago

5

Does the data in the table represent a direct variation or an inverse variation? Write an equation to model the data in the tabl

e.
x | 2 4 6 8
y | 14 28 42 56

A. direct variation; y=1/7x
B. inverse variation; xy=7
C. direct variation; y=7x
D. inverse variation; xy=1/7

1 answer:

hjlf3 years ago

7 0

The answer is c for that problem

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Bethany is baking cookies for her school's bake sale. She plans to bake more than 185 cookies, in batchs or 12 cookies. so far,

Aleks [24]

Answer:

48+12b≥185

Step-by-step explanation:

Inequality: 48+12b≥185

Why? she has already backed 48 cookies so you just need to find how many more she needs to bake. (she doesn't need 185 cookies anymore since she's already baked 48)

You don' t need to solve the question,

But here is how you do...

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3 years ago

1. The graph shows the height of a plant after a certain amount of time measured in days.

kirza4 [7]

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2 years ago

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Suppose that y varies directly as the square of x, and that y=567 when x=9. What is y when x=4

Gwar [14]

Answer:

y = 112

Step-by-step explanation:

If y varies directly as the square of x

mathematically;

y ∝ x²

y = kx² where 'k' is the constant of proportionality

let u know the value of k for this equation by making k the subject of the formular from y = kx²

divide both sides by x²

k = y / x²

given that y = 567 x = 9

k = 567/(9)²

k = 567/81

k = 7

now to get the value of y when x = 4

from the equation conneting x, y,

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6 0

2 years ago

Use the discriminant, b2 - 4ac, to determine which equation has complex solutions.

ruslelena [56]

Using the discriminant, the quadratic equation that has complex solutions is given by:

x² + 2x + 5 = 0.

<h3>What is the discriminant of a quadratic equation and how does it influence the solutions?</h3>

A quadratic equation is modeled by:

y = ax² + bx + c

The discriminant is:

$\Delta = b^2 - 4ac$

The solutions are as follows:

If $\mathbf{\Delta > 0}$ , it has 2 real solutions.

If $\mathbf{\Delta = 0}$ , it has 1 real solutions.

If $\mathbf{\Delta < 0}$ , it has 2 complex solutions.

In this problem, we want a negative discriminant, hence the equation is:

x² + 2x + 5 = 0.

As the coefficients are a = 1, b = 2, c = 5, hence:

$\Delta = 2^2 - 4(1)(5) = 4 - 20 = -16$

More can be learned about the discriminant of quadratic functions at brainly.com/question/19776811

#SPJ1

3 0

1 year ago

HELP ME PLEASE I NEED THIS LOVE U GUYS <33

Sedaia [141]

Answer:

$\huge\boxed{\sf Volume = 384 \ cm^3}$

Step-by-step explanation:

Slant Height = 10 cm

Base Edge = 12 cm

<u>Finding the Height using Pythagorean Theorem:</u>

$\sf c^2 = a^2 + b^2 \\\\Where \ c = 10\ cm , b = 6\ cm [Half of 12] \ and \ a \ is \ height\\\\10^2 = a^2 + 6^2\\\\100=a^2 +36\\\\100-36 = a^2\\\\64 = a^2\\\\Taking \ sqrt \ on \ both \ sides\\\\Height= 8 \ cm$

$\rule[225]{225}{2}$

<u>Now, Finding the volume:</u>

$\sf Volume = a^2 \frac{h}{3}\\\\ Where \ a \ is base \ edge \ and \ h \ is \ height\\\\Volume = (12)^2 \frac{8}{3} \\\\Volume = 144 \frac{8}{3} \\\\Volume = 48*8\\\\\bold{Volume = 384 \ c m^3}$

$\rule[225]{225}{2}$

Hope this helped!

<h2>~AnonymousHelper1807</h2>

8 0

3 years ago