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natulia [17]
3 years ago
9

Convert 16 yards to feet. Use 3 feet = 1 yard.

Mathematics
2 answers:
Pavel [41]3 years ago
8 0

Answer:

48

Step-by-step explanation:

16*3=48

Nat2105 [25]3 years ago
6 0
The answer is 48! Hope this helps
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2. Factor f(x) = x4 + 10x3 + 35x2 + 50x + 24 completely showing all work and steps with synthetic division. Then sketch the grap
telo118 [61]

We need to use rational root theorem to find out roots here.

The rational root theorem states that if p(x) is a polynomial with integer coefficients and if \frac{p}{q} is a zero of p(x) then p is a factor of constant term and q is a factor of leasing term coefficient.

Here factors of constant term are 1,2,3,4,6,8,12,24,-1,-2,-3,-4,-6,-8,-12, and -24.

And factors of leading coefficient is -1,1.

Hence possible roots may be -1,1,-2,2,-3,3,-4,4,-6,6,-8,8,-12,12,-24 and 24.

Let us plugin these in f(x) to find zeroes.

f(-1)=(-1)^{4}+10(-1)^{3}+35(-1)^{2}+50(-1)+24 =1-10+35-50+24=0

Hence x=-1 is a zero which means x-(-1)=x+1 is a factor.

Let us use synthetic division to find quotient.

-1 | 1  10  35  50  24

  <u>| 0  -1  -9  -26   -24</u>

   <u> 1    9  26  24    0</u>

Hence quotient is x^{3} +9x^{2} +26x+24

Since all coefficients are positive, root must be negative. Let's plugin all remaining negative numbers in the quotient.

(-2)^{3}+9(-2)^{2}+26(-2)+24 = 0

Hence x+2 is another factor.

Let us find quotient again using synthetic division.

-2 | 1   9  26   24

   <u>| 0  -2  -14   -24</u>

   <u>  1    7    12     0</u>

Hence quotient is x^{2} +7x+12

Again we got quotient with all positive coefficients, let us plugin remaining negative numbers from rational root theorem.

(-3)^{2}+7(-3)+12=-9-21+12=0

Hence x+3 is also a factor.

Let us find quotient using synthetic division.

-3 | 1  7  12

   <u>| 0 -3  -12</u>

    <u> 1    4    0</u>

Hence quotient is x+4.

So, f(x)=x^{4}+10x^{3}+35x^{2}+50x+24 =(x+1)(x+2)(x+3)(x+4)

Please have a look at the graph attached.

4 0
3 years ago
Talya works six hours per day on Fridays and Saturdays each week she earns $8.20 per hour what is her gross pay in a week
Scilla [17]

6 \times 2 = 12
12×8.20=98.40
5 0
3 years ago
A triangle has the following side lengths: x - 2, x, and 3x + 1. Another triangle has the following side lengths: 2x - 5, x + 4,
notka56 [123]

we know that

Perimeter of a triangle is equal to

P=a+b+c

where

a,b and c are the length sides of the triangle

<u>Find the perimeter of the triangles</u>

<u>Triangle N 1</u>

P=(x-2)+(x)+(3x+1)-------> P=5x-1

<u>Triangle N 2</u>

P=(2x-5)+(x+4)+(6x-7)------> P=9x-8

equate the perimeters

5x-1=9x-8--------> 9x-5x=-1+8-------> 4x=7

x=7/4------> x=1.75

therefore

the answer is

x=1.75

5 0
3 years ago
A pilot can fly 2100 miles with the wind in the same time she can fly 1890 miles against the wind. If the speed of the wind is 2
Anna007 [38]

Answer:

475 mph

Step-by-step explanation:

Distance = rate × time

time = distance / rate

If x is the speed of the plane in still air:

2100 / (x + 25) = 1890 / (x − 25)

Cross multiply:

2100 (x − 25) = 1890 (x + 25)

Distribute and solve:

2100x − 52500 = 1890x + 47250

210x = 99750

x = 475

5 0
3 years ago
List th<br> Find all<br> the<br> factors<br> of 16
dem82 [27]

Answer:

1, 2, 4, 8, 16.

Step-by-step explanation:

Have a good day hope this helps can get a brainiest? Stay Safe!  

5 0
3 years ago
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