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aliina [53]
3 years ago
12

Like b and c are parallel what is the measure of <2

Mathematics
1 answer:
Vadim26 [7]3 years ago
5 0
C
Hope this helps 8)
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Write a polynomial function f of least degree that has a leading coefficient of 1 and the given zeros -4,-2,5. write the functio
OLga [1]

Answer:

Step-by-step explanation:

This is a third degree polynomial since we have 3 zeros.  We find these zeros by factoring the given polynomial.  The zeros of a polynomial are where the graph of the function goes through the x-axis (where y = 0).  If x = -4, the factor that gives us this value is (x + 4) = 0 and solving that for x, we get x = -4.  If x = -2, the factor that gives us that value is (x + 2) = 0 and solving that for x, we get x = -2.  Same for the 5.  The way we find the polynomial that gave us these zeros is to go backwards from the factors and FOIL them out.  That means that we need to find the product of

(x + 4)(x + 2)(x - 5).  Do the first 2 terms, then multiply in the third.

(x+4)(x+2)=x^2+2x+4x+8, which simplifies to

x^2+6x+8

No we multiply in the final factor of (x - 5):

(x^2+6x+8)(x-5)=x^3+6x^2+8x-5x^2-30x-40 which simplifies to

f(x)=x^3+x^2-22x-40

If you are aware of the method for factoring higher degree polymomials, which is to use the Rational Root Theorem and synthetic division, you will see that this factors to x = -4, -2, 5.  If you know how to use your calculator, you will find the same zeros in your solving polynomials function in your apps.

3 0
3 years ago
A ^-4 / a ^-6 please simplify and show your work if possible &lt;:D
kipiarov [429]

\bf ~\hspace{7em}\textit{negative exponents} \\\\ a^{-n} \implies \cfrac{1}{a^n} ~\hspace{4.5em} a^n\implies \cfrac{1}{a^{-n}} ~\hspace{4.5em} \cfrac{a^n}{a^m}\implies a^na^{-m}\implies a^{n-m} \\\\[-0.35em] \rule{34em}{0.25pt}\\\\ \cfrac{a^{-4}}{a^{-6}}\implies a^{-4}\cdot a^6\implies a^{-4+6}\implies a^2

7 0
3 years ago
The stem-and-leaf plot shows the ages of customers who were interviewed in a survey by a store.
Solnce55 [7]

Answer:

Step-by-step explanation:

Given is a steam and leaf plot.

This shows the age of customers who were interviewed in a survey by a store.

From the plot we can say that 10th digit is represented by the stem

For greater than 32, obviously 1,2 stem valus will not work.

For stem 3, we can leave 30 and 31 start with 2 in leaf and 3 n stem

We have 32, onwards 7 persons

Similarly for 4, we have 6, for 5 we have 5, for 6 we have 4 and for 7 we have 1

Total number of customers who have ages more than 32 years = 21

8 0
3 years ago
Can someone help me please!!
Gennadij [26K]

Answer:

Step-by-step explanation:

∠2, ∠3, and ∠4

5 0
2 years ago
Read 2 more answers
A circular jogging track forms the edge of a circular lake that has a diameter of 2 miles. Johanna walked once around the track
Tpy6a [65]

Answer:

Option C is the answer.

Step-by-step explanation:

Given diameter is = 2 miles

So, radius will be = 1  mile

Let t represents the number of hours it took Johanna to walk completely around the lake.

Now, the circumference is given as: 2\pi r

So, circumference = 2(3.14)(1) = 6.28 miles

Johanna's speed = 3 miles/ hour

We know the formula Time=Distance / Speed

t = 6.28/3

t = 2.09 hours

This is greater than 2, but less than 2.5, therefore, 2.0 < t < 2.5 is the answer.

3 0
2 years ago
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