What is the GCF of 4x^2 - 100? I'm not sure if there is even a GCF.

Answers

Answer 1

Answer: The greatest common factor is 2.

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How many equations can you write that will equal 100
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The average speed of greyhound dogs is about 18.4 meters per second. A particular greyhound breeder claims that her dogs are faster than the average greyhound. In a sample of 35 of her dogs, they ran, on the average, 18.7 m/s. Assuming a population standard deviation of 1.5 m/s and a .05 significance level. Required:Does this sample data provide evidence that the breeder's claim is correct?

PLEASE HELP ME WITH THIS ALGEBRA QUESTION!! THANK YOU!!

Answers

Answer:

The first four terms of the sequence are: {-10,-23,-62,-179}

Step-by-step explanation:

Given recursive formula is:

$a_n = 3a_(n-1)+7$

First term = a1 = -10

The first term is already known. In order to find the next terms, we will put n=2,3,4 in the recursive formula.

Putting n=2

$a_2 = 3a_(2-1)+7\na_2 = 3a_1+7\na_2 = 3(-10)+7\na_2 = -30+7\na_2 = -23$

Putting n=3

$a_3 = 3a_(3-1)+7\na_3 = 3a_2+7\na_3 = 3(-23)+7\na_3 = -69+7\na_3 = -62$

Putting n=4

$a_4 = 3a_(4-1)+7\na_4 = 3a_3+7\na_4 = 3(-62)+7\na_4 = -186+7\na_4 = -179$

Hence,

The first four terms of the sequence are: {-10,-23,-62,-179}

If m2=115,what is m1

Answers

Answer:

65 this is right on Edg.

What are the roots of the polynomial equation x3 - 6x= 3x2 - 8? Use a graphing calculator and a system of equations

Answers

Answer:

Hence, the roots of the polynomial equation are:

-2, 1, 4

Step-by-step explanation:

We are asked to find the roots of the polynomial equation:

We can also equate this equation to y to obtain a system of equation as:

and

Hence, the roots of the polynomial; equation are the x-values of the point of intersections of the graph of the system of equations.

Hence, the point of intersection of the two graphs are:

(-2,4), (1,-5) and (4,40)

Hence, the roots of the polynomial equation are:

-2, 1, 4

The length of a rectangle is 4 inches more than its width, and its perimeter is 34 inches. Find the length and width of the rectangle. If w= the width of the rectangle, then the length equals OW-4 OW-4 401

Answers

length is
10.5
inches
width is
6.5
inches
Explanation:
Let length be
l

Let width be
w

Let perimeter be
P

First, we must construct an equation for these variables:
l
=
w
+
4

P
=
34

But, Perimeter of a rectangle
=
l
+
w
+
l
+
w

=
2
l
+
2
w

So:
34
=
2
l
+
2
w

But, since
l
=
w
+
4
, we can substitute for
l
, having only the
w
variable:
34
=
2
(
w
+
4
)
+
2
w

34
=
2
w
+
8
+
2
w

34
=
4
w
+
8

Solve for
w
:
4
w
=
34
−
8

4
w
=
26

w
=
26
4

w
=
6.5
inches
Now, we can substitute
6.5
for
w
in the Perimeter Equation:
34
=
2
l
+
2
w

becomes:
34
=
2
l
+
2
⋅
6.5

34
=
2
l
+
13

Solve for
l
:
2
l
=
34
−
13

2
l
=
21

l
=
21
2

l
=
10.5
inches
Thus, length is
10.5
inches
Thus, width is
6.5
inches

Answer: L = 4 + w

A = 2P - 4

lw = 2(2l +2w) - 4

lw = 4(l + w) - 4

(w+4)w = 4 ( w+4+w) -4

(w +4)w = 4(2w + 4) - 4

w^2 + 4w = 8w + 16 - 4

w^2 + 4w = 8w + 12

w^2 - 4w - 12 = 0

( w - 6 )( w + 2 ) = 0

w - 6 = 0 ----> w = 6 ----> L=10 ---> P = 32 and A = 60

w + 2 = 0 ---> w = -2 <--- width cannot be negative; disqualified/rejected

Step-by-step explanation:

Assume that you plan to use a significance level of α = 0.05 to test the claim that p1 = p2. Use the given sample sizes and numbers of successes to find the pooled estimate. Round your answer to the nearest thousandth. n1 = 677 n2 = 3377
x1 = 172 x2 = 654