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Anika [276]
3 years ago
9

Question: The graph of a second-order polynomial is shown below, and the intercepts with the axes are marked. Explain how you ca

n use the graph to write the polynomial as a product of linear factors (x-a)(x-b). Be sure to state the values of a and b. NEED HELP ASAP​

Mathematics
1 answer:
Kamila [148]3 years ago
4 0

Hello!

Here we are given a second-order polynomial, and the root form of the function.

y=a(x-c)(x-d)

Where c and d are zeros of the function, which is where the graph intersects the x-axis.

y=a(x+4)(x-3)

-6=a(2+4)(2-3)

-6=-6a

a=1

Therefore, the equation of this polynomial would be y=(x+4)(x-3), and the values of a and b would be the x-intercepts.

Hope this helps!

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THIS IS 30PTS. help fast
vekshin1

Answer:

1. x > -1 is the answe to number one

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2 years ago
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Helpppp it’s so hard and due today pleaseee
gladu [14]

Answer:

for every 2 followers benjamin has, lauren has 5 followers

Step-by-step explanation:

find the common factor for their followers (11), then divide them by that:

22/11=2

55/11=5

8 0
3 years ago
1,9,4,6,8,8 which is the median
vladimir1956 [14]
<h3>Answer:  Median = 7</h3>

=======================================================

Explanation:

Sort the values from smallest to largest. Doing so leads to the list {1,4,6,8,8,9}

Since the set is small enough, you can probably notice that the middle most number is a tie between the 6 and the first 8. The midpoint is (6+8)/2 = 14/2 = 7.

The median is 7.

---------------

If you wanted, you could cross off the first and last items of the set

That means we go from {1,4,6,8,8,9} to {4,6,8,8}

Then repeat to get the smaller set {6,8}

This shows we have a tie between the 6 and 8 as the middle most item, and why 7 is the median (since 7 is the midpoint between 6 and 8).

4 0
3 years ago
A construction crew must build 4 miles of road in one week. On Monday, they build 12 mile of road. On Tuesday, they build 13 mil
Julli [10]

\frac{19}{6} many more miles of road are left to build .

<u>Step-by-step explanation:</u>

Here we have , A construction crew must build 4 miles of road in one week. On Monday, they build 1/2 mile of road. On Tuesday, they build 1/3 mile of road.  We need to find that  How many more miles of road are left to build . Let's find out:

  • On Monday, they build 1/2 mile of road.
  • On Tuesday, they build 1/3 mile of road.  

Let Miles of road left to build is x So,

⇒ \frac{1}{2} +\frac{1}{3} +x = 4

⇒ x = 4 - (\frac{1}{2} +\frac{1}{3})

⇒ x = 4 - (\frac{1(3)+1(2)}{6} )

⇒ x = 4 - (\frac{5}{6} )

⇒ x =  (\frac{4(6)-5}{6} )

⇒ x =  \frac{24-5}{6}

⇒ x =  \frac{19}{6}

Therefore, \frac{19}{6} many more miles of road are left to build .

5 0
3 years ago
Read 2 more answers
I have been trying to solve problem 5 and 6 for 30 mins​
jeyben [28]

Answer:

#5

x = 45

E

Step-by-step explanation:

Theorems you need:

  • The measures of 2 adjacent angles that form a straight line with the outer sides add up to 180°.
  • The sum of the interior angles of a triangle add up to 180° ((n-2)×180).

#5

Knowing those, you first want to find the triangle's 3 interior angles.

The angles <QSO & <QSR are adjacent (share a common ray) and form a straight line with the outer rays, therefore they add up to 180.

So m<QSO+m<QSR=180.

Rewrite the equation: m<QSR=180-m<QSO

Plug the known value in: m<QSR=180-(3x-17)

Distribution & Combining like terms: m<QSR=180-3x+17=197-3x

Now solve for the 3 interior angles to equal 180.

(197-3x)+(25)+(2x+3)=180

Combine like terms: 225-x=180

Isolate the x term (-225 to both sides): -x=180-225=-45

Isolate the x (×-1 to both sides):

x=45

6 0
3 years ago
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