Nichole’s rotating sprinkler waters her lawn up to a radius of 7 feet. What is the maximum number of square feet of lawn Nichole can expect the sprinkler to cover?A. 43.96 ft2
B. 10.99 ft2
C.153.86 ft2
D. 307.72 ft2

Answers

Answer 1

Answer:

Answer:

Step-by-step explanation:

$\pi * {7 }^(2) = \pi * 49 = 153.86$

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Which of the following is the correct factorization of the polynomial below?
3p^2-15pq+20q^2

Answers

The polynomial 3p²-15pq+20q² can be factored as (p-2q)(3p-10q).

What is the Factorization?

Factorization, also known as factoring, is the breakdown of one element into a product of other objects, or factors, which when multiplied together generate the original. For example, the number 21 factors into primes as 3 × 7, and the polynomial x² − 9 factors as (x+3)(x-3).

The polynomial is given as follows:

3p²-15pq+20q²

It is required to find the factorization of the given polynomial.

The greatest common factor (GCF) of the coefficients (3, -15, 20), is 3.

Rewrite the polynomial using the GCF of 3. We get:

3(p²-5pq+6q²)

We need to find two numbers that multiply to 6q² and add to -5pq.

The numbers are -2q and -3p.

Combine the factored quadratic expression with the GCF of 3.

3(p-2q)(p-3q)

Therefore, the correct factorization of the polynomial 3p²-15pq+20q² is 3(p-2q)(p-3q).

Learn more about the Factorization here:

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Answer:

The polynomial is irreducible.

Step-by-step explanation:

Help me understand please ;-;Which shows the equation in standard form?

6y - 12 = -3x

Which shows the equation in standard form?

10 - 2(x - y) = 3x + 1

Answers

standard form for first one is
ax+by=c

6y-12=-3x
add 3x both sides
3x+6y-12=0
add 12
3x+6y=12

second one
distribute (don't forget double negative y)
10-2x+2y=3x+1
minus 3x both sides
10-5x+2y=1
minus 10 both sides
-5x+2y=-9

the equations are
3x+6y=12
-5x+2y=-9

The standad form of linear equation is of the form Ax + By = C, where A, B and C are integers.
Here, the standard form of the eduation 6y - 12 = -3x is 3x + 6y = 12

What is 28 over 50 as a decimal

Answers

❅☃ 0.56
$(28)/(50)$ = $(14)/(25)$
❅☃ Which in decimal formality is 0.56
You can solve this by dividing the numerator by the denominator.

100 POINTS HELP PLEASEEEE !!!HURRY!!!

Answers

Question # 1 Solution

Answer:

$(h-f)(-8)=-229$

Step-by-step Solution:

Given

$h(r)=-4r^(2)+4$

$f(r)=2r-7$

$(h-f)(r)=h(r)-f(r)$

$(h-f)(r)=-4r^(2)+4-(2r-7)$

$(h-f)(r)=-4r^(2)+4-2r+7)$

We have to find $(h-f)(-8)$

So,

$(h-f)(-8)=-4(-8)^(2)+4-2(-8)+7)$

$(h-f)(-8)=-4(64)+4+16+7$

$(h-f)(-8)=-256+4+16+7$

$(h-f)(-8)=-229$

∴ $(h-f)(-8)=-229$

Question # 2 Solution

Answer:

∴ $(f.p)(9)=38979$

Step-by-step Solution:

Given

$f(s)=7s-2$

$p(s)=s^(3)-10s$

$(f.p)(s)=f(s).p(s)$

$(f.p)(s)=(7s-2)(s^(3)-10s)$

$(f.p)(s)=7s^4-2s^3-70s^2+20s$

We have to find $(f.p)(9)$

So,

$(f.p)(9)=7\left(9\right)^4-2\left(9\right)^3-70\left(9\right)^2+20\left(9\right)$

$(f.p)(9)=7\cdot \:9^4-2\cdot \:9^3-70\cdot \:9^2+20\cdot \:9$

$(f.p)(9)=9^4\cdot \:7-9^3\cdot \:2-9^2\cdot \:70+180$

$(f.p)(9)=45927-1458-5670+180$

$(f.p)(9)=38979$

∴ $(f.p)(9)=38979$

Question # 3 Solution

Answer:

$((f)/(p))(r)=(11r+8)/(r\left(r^2+6\right))$

Step-by-step Solution:

Given

$p(r)=r^(3)+6r$

$f(r)=11r+8$

We have to find $((f)/(p))(r)$

Using the formula

$((f)/(p))(r)=(f(r))/(p(r))$

$p(r)=r^(3)+6r$

$f(r)=11r+8$

$((f)/(p))(r)=(11r+8)/(r^(3)+6r)$

$((f)/(p))(r)=(11r+8)/(r\left(r^2+6\right))$

∴ $((f)/(p))(r)=(11r+8)/(r\left(r^2+6\right))$

Question # 4 Solution

Answer:

$(h-p)(k)=5k^2-3-k^3-8k$

Step-by-step Solution:

Given

$h(k)=5k^(2)-3$

$p(k)=k^(3)+8k$

We have to find $(h-p)(k)$

Using the formula

$(h-p)(k)=h(k)-p(k)$

$h(k)=5k^(2)-3$

$p(k)=k^(3)+8k$

$(h-p)(k)=5k^(2)-3-(k^(3)+8k)$

$(h-p)(k)=5k^2-3-k^3-8k$

∴ $(h-p)(k)=5k^2-3-k^3-8k$

Question # 5 Solution

Answer:

$((p)/(g))(11)=(1287)/(155)$

Step-by-step Solution:

Given

$p(b)=b^(3)-4b$

$g(b)=b^(2)+4b-10$

We have to find $((p)/(g))(11)$

$((p)/(g))(b)=(p(b))/(g(b))$

$((p)/(g))(b)=(b^(3)-4b)/(b^(2)+4b-10)$

$((p)/(g))(11)=(11^(3)-4(11))/(11^(2)+4(11)-10)$

$((p)/(g))(11)=(1287)/(155)$

∴ $((p)/(g))(11)=(1287)/(155)$

Question # 6 Solution

Answer:

$(f+g)(x)=x^2+20x-18$

Step-by-step Solution:

Given

$g(x)=x^(2)+11x-7$

$f(x)=9x-11$

We have to find $(f+g)(x)$

$(f+g)(x)=f(x)+g(x)$

$(f+g)(x)=9x-11+(x^(2)+11x-7)$

$(f+g)(x)=9x-11+x^(2)+11x-7$

$(f+g)(x)=x^2+20x-18$

∴ $(f+g)(x)=x^2+20x-18$

Question # 7 Solution

Answer:

$h(10)+g(10)=-983$

Step-by-step Solution:

Given

$h(w)=-11w^(2)-7$

$g(w)=w^(2)+3w-6$

We have to find $h(10)+g(10)$

So,

$h(10)=-11(10)^(2)-7$

$h(10)=-1107$ .....[1]

and

$g(10)=10^(2)+3(10)-6$

$g(10)=124$ .....[2]

Adding Equation [1] and Equation [2]

$h(10)+g(10)=-1107+124$

$h(10)+g(10)=-983$

∴ $h(10)+g(10)=-983$

Question # 8 Solution

Answer:

$(f+g)(-3)=-6$

Step-by-step Solution:

Given

$g(b)=b^(2)+9b+10$

$f(b)=3b+11$

We have to find $(f+g)(-3)$

$(f+g)(b)=f(b)+g(b)$

$(f+g)(b)=3b+11+b^(2)+9b+10$

$(f+g)(-3)=3(-3)+11+(-3)^(2)+9(-3)+10$

$(f+g)(-3)=-6$

∴ $(f+g)(-3)=-6$

Question # 9 Solution

Answer:

$(f.h)(k)=33k^3+22k-12k^2-8$

Step-by-step Solution:

Given

$f(k)=-11k+4$

$h(k)=-3k^(2)-2$

We have to find $(f.h)(k)$

$(f.h)(k)=f(k).h(k)$

So,

$(f.h)(k)=(-11k+4).(-3k^(2)-2)$

$\mathrm{Apply\:FOIL\:method}:\quad \left(a+b\right)\left(c+d\right)=ac+ad+bc+bd$

∵ FOIL means (First, Outer, Inner, Last)

$(f.h)(k)=\left(-11k\right)\left(-3k^2\right)+\left(-11k\right)\left(-2\right)+4\left(-3k^2\right)+4\left(-2\right)$

$(f.h)(k)=33k^3+22k-12k^2-8$

∴ $(f.h)(k)=33k^3+22k-12k^2-8$

Question # 10 Solution

Answer:

$p(-8)-f(-8)=-581$

Step-by-step Solution:

Given

$p(s)=s^(3)+6s$

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

We have to find $p(-8)-f(-8)$

So,

$p(-8)=(-8)^(3)+6(-8)$

$p(-8)=-560.....[1]$

and

$f(-8)=-2(-8)+5$

$f(-8)=21.....[2]$

Subtracting Equation [2] from Equation [1]

$p(-8)-f(-8)=-560-21$

$p(-8)-f(-8)=-581$

∴ $p(-8)-f(-8)=-581$

Keywords: function operation

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Answer:

-2229

Step-by-step explanation:

(09.02 HC)The function f(x) = −x2 + 24x − 80 models the hourly profit, in dollars, a shop makes for selling coffee, where x is the number of cups of coffee sold, and f(x) is the amount of profit.

Part A: Determine the vertex. What does this calculation mean in the context of the problem? (5 points)

Part B: Determine the x-intercepts. What do these values mean in the context of the problem? (5 points)

(10 points)

Answers

Answer:

Vertex = (12,64)

The meaning of this pair of values is that the y-coordinate is the maximum profit obtainable, and the x-coordinate is how many cups sold will make the maximum profit.

X-intercepts: 4 and 20

The meaning of theses values is that these amounts of cups sold (4 and 20) will make zero profit.

Step-by-step explanation:

To find the vertex we can use the formula for the x-coordinate of the vertex:

x_v = -b/2a

Where a and b are coefficients of the quadratic equation (in this case, a = -1 and b = 24)

So we have that:

x_v = -24 / (-2) = 12

The vertex is 12 cups of coffee. Now we apply this value to find the y-coordinate of the vertex:

f(x) = -12^2 + 24*12 - 80 = 64

So the vertex is (12,64). The meaning of this pair of values is that the y-coordinate is the maximum profit obtainable, and the x-coordinate is how many cups sold will make the maximum profit.

To find the x-intercepts, we need to make f(x) = 0 and find the values of x:

-x2 + 24x - 80 = 0

Delta = 24^2 - 80*4 = 256

sqrt(Delta) = 16

x1 = (-24 + 16)/(-2) = 4

x2 = (-24 - 16)/(-2) = 20

The x-intercepts are 4 and 20. The meaning of theses values is that these amounts of cups sold (4 and 20) will make zero profit.

My teacher hasn't taught us this yet but it's gonna be on the test. can u please explain if u can

Answers

I don't like your teacher. not teaching something and putting it on the test. I hope that it is just that you weren't paying attention, or you were absent and not because you had a faulty teacher.

ok so from ABC to A"B"C" is down and to the left and it gets bigger

cross out an options that go up and right (cross out B&C)

it got bigger so the scale factor is not 1/2, it is 2

answer is D

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Nichole’s rotating sprinkler waters her lawn up to a radius of 7 feet. What is the maximum number of square feet of lawn Nichole can expect the sprinkler to cover?A. 43.96 ft2B. 10.99 ft2C.153.86 ft2D. 307.72 ft2

Answers

Related Questions

Answers

What is the Factorization?

Answers

Answers

Answers

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Answers

Nichole’s rotating sprinkler waters her lawn up to a radius of 7 feet. What is the maximum number of square feet of lawn Nichole can expect the sprinkler to cover?A. 43.96 ft2
B. 10.99 ft2
C.153.86 ft2
D. 307.72 ft2