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2 years ago

Expand and simplify pla

Mathematics

1 answer:

k0ka [10]2 years ago

4 0

Y = f(3f - 4g + 3) +7g(3f - 4g + 3)
= 3f^2 - 4fg + 3f + 21fg - 28g^2 + 21g
= 3f^2 + 3f + 17fg + 21g - 28g^2

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Drew jumped farther than all 4 students above but jumped shorter than 7 feet , 7 inches. How far could drew have jumped? Write s

S_A_V [24]

<h3>The distance covered by Drew in long jump is either 7 ft 5 inches OR 7 ft 6 inches.</h3>

Step-by-step explanation:

Here, the needed table is attached for the reference.

Now, as we can see from the table:

The distance covered by Cindy = 2 yards, 1 foot 3 inches

The distance covered by Tyrette = 7 feet, 2 inches

The distance covered by Nina = 2 yards, 1 foot, 1 inch

The distance covered by Monique = 7 feet, 4 inches

As we know : 1 yard = 3 feet

So, the distance covered by :

Cindy = 2 yards, 1 foot 3 inches = 3 ft x (2) + 1 ft + 3 in = 7 ft 3 in

Tyrette = 7 feet, 2 inches

Nina = 2 yards, 1 foot, 1 inch = = 3 ft x (2) + 1 ft + 1 in = 7 ft 1 in

Monique = 7 feet, 4 inches

So by comparing all distances, we can see that:

The maximum distances jumped by all four is 7 ft 4 inches.

The distance covered by Drew is less than 7 ft 7 in.

So, he must have jumped 7 ft 5 inches OR 7 ft 6 inches.

Hence, the distance covered by Drew in long jump is either 7 ft 5 inches OR 7 ft 6 inches.

4 0

3 years ago

(ASAP) Billie & Tony are siblings. It’s summer of 2015. Twice Billie’s age decreased by 3 is Tony’s age. Tony is fourteen ye

jeka94

Answer:

Billie's age = x = 17 years

Tony's age = y = 31 years

Step-by-step explanation:

Let

Billie's age = x

Tony's age = y

Twice Billie’s age decreased by 3 is Tony’s age.

y = 2x - 3..... Equation 1

Tony is fourteen years older than Billie.

x = y - 14

We substitute y - 14 for x in Equation 1

y = 2x - 3..... Equation 1

y = 2(y - 14) - 3

y = 2y - 28 - 3

y - 2y = -28 - 3

-y = -31

y = 31 years

Solving for x

x = y - 14

x = 31 - 14

x = 17 years.

Therefore:

Billie's age = x = 17 years

Tony's age = y = 31 years

4 0

3 years ago

Read 2 more answers

Use a graphing calculator to graph f(x) = x+cos(kx). Use calculus to determine which values of k lead to a function with no loca

nataly862011 [7]

Answer:

Below, you can see the graph of the function:

f(x) = x + cos(k*x)

for different values of k, as follows:

red: k = 1

green: k = 2

orange: k = 0.

Now let's find the values of k such that our function does not have local maxima nor local minima.

First, remember that for a given function f(x), the local maxima or minima points are related to the zeros of the first derivate of f(x).

This means that if:

f'(x0) = 0.

Then x0 is a maxima, minima or an inflection point.

Then if a function is such that the f'(x) ≠ 0 , ∀x, then this function will not have local maxima nor minima.

Now we have:

f(x) = x + cos(k*x)

then:

f'(x) = 1 - k*sin(k*x)

This function will be zero when:

1 = k*sin(k*x)

1/k = sin(k*x)

now, remember that -1 ≤ sin(θ) ≤ 1

then if 1/k is smaller than -1, or larger than 1, we will not have zeros.

And this will happen if -1 < k < 1.

7 0

3 years ago

a circle with a radius of 1 cm sits inside a 3cm x 3cm rectangle. What is the area of the shaded region (the rectangle is shaded

masha68 [24]

Answer:

The area of the shaded region is $5.86\ cm^{2}$

Step-by-step explanation:

we know that

The area of the shaded region is equal to the area of the rectangle minus the area of the circle

The rectangle is a square

$A=b^{2} -\pi r^{2}$

we have

$b=3\ cm$

$r=1\ cm$

assume

$\pi =3.14$

substitute the values

$A=3^{2} -(3.14)(1)^{2}$

$A=5.86\ cm^{2}$

5 0

3 years ago

Read 2 more answers

What are the values of x for which the denominator is equal to zero for y= -x+4/xx+6X+8

Veseljchak [2.6K]

Answer:

-4 and -2

Step-by-step explanation:

(X+4)(x+2)

4×2=8

4+2=6

8 0

3 years ago