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2 years ago

Identify the factors of 15ab + 35a − 6b − 14.

Mathematics

1 answer:

Ilia_Sergeevich [38]2 years ago

3 0

Answer:

(5a-3)(3b+7)

Step-by-step explanation:

Identify the factors of 15ab + 35a − 6b − 14

Given Data

15ab + 35a − 6b − 14

We have expression

15ab + 35a − 6b − 14------------

5a(3b-7)-3(2b+7)

Hence the factors are

(5a-3)(3b+7)

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Selena babysits on the weekends. The equation y = 12x represents the amount of money she earns. What is the constant of proporti

Allushta [10]

Answer:

Step-by-step explanation:

To find constant: y=k/x

the constant there is only 12

the answer is 12

y=12

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y=12

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2 years ago

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In the xy-plane, the graph of function f(x) has zeros at −5, −2, and 2. Write the polynomial function.

Alona [7]

Answer:

$f(x) = x^3 +5x^2-4x-20$

Step-by-step explanation:

Given

$Zeros: -5,-2,2$

Required

The polynomial function

If a function has a, b and c as its zeros, the function is:

$f(x) = (x - a)(x - b)(x - c)$

So, we have:

$Zeros: -5,-2,2$

$f(x) = (x - (-5))(x - (-2))(x - 2)$

Open the inner brackets

$f(x) = (x +5)(x +2)(x - 2)$

Expand the difference of two squares

$f(x) = (x +5)(x^2 - 4)$

Expand

$f(x) = x^3 +5x^2-4x-20$

4 0

2 years ago

The midpoint of UV is (5, -10). The coordinates of one endpoint are U(3,6). Find the coordinates of endpoint V.

Grace [21]

The answer is (7, -26) for The second endpoint.

We'll call the midpoint M. In order to find this, we must first note that to find a midpoint we need to take the average of the endpoints. To do this we add them together and then divide by 2. So, using that, we can write a formula and solve for each part of the k coordinates. We'll start with just x values.

(Ux + Vx)/2 = Mx

(Vx + 3)/2 = 5

Vx + 3 = 10

Vx = 7

And now we do the same thing for y values

(Uy + Vy)/2 = My

(Vy + 6)/2 = -10

Vy + 6 = -20

Vy = -26

This gives us the final point of (7, -26)

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2 years ago

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timofeeve [1]

Answer: 196 m

Step-by-step explanation:

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2 years ago

Need help quickly! Thanks

Rzqust [24]

Answer:

y = $-2^x$

Step-by-step explanation:

If the equation of a function is in the form of y = h(x)

When the graph of this function is reflected across x-axis,

Transformed function will be,

y = -h(x)

Further reflected across y-axis, then the transformed function will be,

y = -h(-x)

By this rule,

Given equation when reflected across x-axis,

y = $-(\frac{1}{2})^{x}$

Further reflected across y-axis,

y = $-(\frac{1}{2})^{-x}$

y = $-(2^{-1})^x$

y = $-2^x$

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2 years ago