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2 years ago

The amount Lin's sister earns at her part-time job is proportional to the number

Mathematics

1 answer:

jarptica [38.1K]2 years ago

3 0

the equation framed in the form of y=kx is $y = 9.6(x)$ and , x as a function of y $x=\frac{1}{ 9.6}(y)$ .

Step-by-step explanation:

Here we have , The amount Lin's sister earns at her part-time job is proportional to the number of hours she works. She earns $9.60 per hour. We need to find an equation in the form y=kx to describe this situation, where x represents the hours she works and y represents the dollars she earns.Is y a function of x . Also , Write an equation describing x as a function of y . Let's find out:

Here , Lin's sister earns $9.60 per hour . Let x represents the hours she works and y represents the dollars she earns . So , According to question following is the equation framed in the form of y=kx :

⇒ $y = 9.6(x)$

Yes, y is a function of x , as a straight line with a slope of 9.6

Now , x as a function of y :

⇒ $\frac{y}{ 9.6}=(x)$

⇒ $x=\frac{1}{ 9.6}(y)$

Therefore , the equation framed in the form of y=kx is $y = 9.6(x)$ and , x as a function of y $x=\frac{1}{ 9.6}(y)$ .

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Is the sequence 7, 9, 11, 13,.. A)arithmetic B)geometric C) both D)netheir

ladessa [460]

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2 years ago

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Write your own two equations that would have a solution of (3, 6).

andrey2020 [161]

Answer:

y = 2x

y = 3x - 3

Step-by-step explanation:

Hi,

y = 2x

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That's a solution

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8 0

2 years ago

O is the centre of the circle, EF is a tangent, angle BCE = 28°, angle ACD = 31°

andriy [413]

Answer

a. 28˚

b. 76˚

c. 104˚

d. 56˚

Step-by-step explanation

Given,

∠BCE=28° ∠ACD=31° & line AB=AC .

According To the Question,

a. the angle between a chord and a tangent through one of the end points of the chord is equal to the angle in the alternate segment.(Alternate Segment Theorem) Thus, ∠BAC=28°

b. We Know The Sum Of All Angles in a triangle is 180˚, 180°-∠CAB(28°)=152° and ΔABC is an isosceles triangle, So 152°/2=76˚

thus , ∠ABC=76° .

c. We know the Sum of all angles in a triangle is 180° and opposite angles in a cyclic quadrilateral(ABCD) add up to 180˚,

Thus, ∠ACD + ∠ACB = 31° + 76° ⇔ 107°

Now, ∠DCB + ∠DAB = 180°(Cyclic Quadrilateral opposite angle)

∠DAB = 180° - 107° ⇔ 73°

& We Know, ∠DAC+∠CAB=∠DAB ⇔ ∠DAC = 73° - 28° ⇔ 45°

Now, In Triangle ADC Sum of angles in a triangle is 180°

∠ADC = 180° - (31° + 45°) ⇔ 104˚

d. ∠COB = 28°×2 ⇔ 56˚ , because With the Same Arc(CB) The Angle at circumference are half of the angle at the centre

For Diagram, Please Find in Attachment

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2 years ago

Solve 77 = -7x using one step equations

fgiga [73]

Answer:

x=-11

Step-by-step explanation:

Divide both sides by -7, and you get -11

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2 years ago

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Part A

Anuta_ua [19.1K]

Answer:

Part A: There are 4 zeros of the polynomial function f(x)

Part B: The zeroes of the polynomial function f(x) are -4, -1, 0, 2 ⇒ C

Step-by-step explanation:

The zeroes of a function are the x-coordinates of the point of intersection between the graph of the function and the x-axis (x-intercepts) which means values of x at y = 0

Part A:

In the given graph

∵ The graph of the function f(x) = - $x^{4}$ - 3x³ + 6x² + 8x intersects the x-axis

at 4 points

→ That means there are 4 values of x have y = 0

∴ The number of zeroes of the function is 4

∴ There are 4 zeros of the polynomial function f(x)

Part B:

∵ The graph intersects the x-axis at points (-4, 0), (-1, 0), (0, 0), (2, 0)

→ That means the values of x at y = 0 are -4, -1, 0, 2

∴ f(x) = 0 at x = -4, -1, 0, 2

∴ The zeroes of the polynomial function f(x) are -4, -1, 0, 2

4 0

2 years ago