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Anna [14]
3 years ago
9

A graph with no breaks in it

Mathematics
1 answer:
Umnica [9.8K]3 years ago
3 0
A graph that has no breaks in it is called a continuous data
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How to solve -8+squre root (5a-5)=-3
sertanlavr [38]

Answer:

a=6

Step-by-step explanation:

Given equation:

-8+\sqrt{5a-5}=-3

Solving for unknown variable a

Adding 8 both sides by additive property of equality.

+8-8+\sqrt{5a-5}=-3+8

\sqrt{5a-5}=5

Squaring both sides to remove the square root.

(\sqrt{5a-5})^2=5^2

5a-5=25

Adding 5 both sides by additive property of equality.

5a-5+5=25+5

5a=30

Dividing both sides by 6 to isolate a

\frac{5a}{5}=\frac{30}{5}

∴ a=6

8 0
3 years ago
Given a leading coefficient of 8, polynomial roots of 1 & 2, and the known point on the graph (4,5). Write an equation that
m_a_m_a [10]

Given:

The leading coefficient of a polynomial is 8.

Polynomial roots are 1 and 2.

The graph passes through the point (4,5).

To find:

The 3rd root and the equation of the polynomial.

Solution:

The factor form of a polynomial is:

y=a(x-c_1)(x-c_2)...(x-c_n)

Where, a is a constant and c_1,c_2,...,c_n are the roots of the polynomial.

Polynomial roots are 1 and 2. So, (x-1) and (x-2) are the factors of the polynomial.

Let the third root of the polynomial by c, then (x-c) is a factor of the polynomial.

The leading coefficient of a polynomial is 8. So, a=8 and the equation of the polynomial is:

y=8(x-1)(x-2)(x-c)

The graph passes through the point (4,5). Putting x=4,y=5, we get

5=8(4-1)(4-2)(4-c)

5=8(3)(2)(4-c)

5=48(4-c)

Divide both sides by 48.

\dfrac{5}{48}=4-c

c=4-\dfrac{5}{48}

c=\dfrac{192-5}{48}

c=\dfrac{187}{48}

Therefore, the 3rd root on the polynomial is \dfrac{187}{48}.

8 0
3 years ago
Which is the graph of the linear inequality y < 3x + 1?
mestny [16]
Start at +1 on the x axis and then use 3/1 for rise over run. So you will start at +1 and then from that point rise 3 run 1
5 0
3 years ago
Lily owed Megan $129.42. So far, she has paid Megan $32.56.
anzhelika [568]

Answer:

She still owes her $96.86

Step-by-step explanation:

Subtract 32.56 from 129.42

7 0
3 years ago
PLEASE HELP I WILL MARK BRAINLEST 20 POINTS<br> what would be x in this ordered pair (3 -8)
telo118 [61]

Answer:

3

Step-by-step explanation:

X goes first

4 0
3 years ago
Read 2 more answers
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