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3 years ago

The product of 9, and a number increased by 7, is 126. What is the number

Mathematics

1 answer:

RoseWind [281]3 years ago

6 0

Answer:

The number is 7.

Step-by-step explanation:

The unknown number: x

9 (x + 7) = 126

Using the distributive property, 9x + 63 = 126

9x = 63

x = 7

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The polynomial of degree 5, P ( x ) has leading coefficient a=1, has roots of multiplicity 2 at x = 3 and x = 0 , and a root of

ser-zykov [4K]

Answer:

$p_{5} (t) = x^{5} - 5\cdot x^{4} + 3\cdot x^{3} +9\cdot x^{2}$ , for $r_{1} = 0$

Step-by-step explanation:

The general form of quintic-order polynomial is:

$p_{5}(t) = a\cdot x^{5} + b\cdot x^{4} + c\cdot x^{3} + d\cdot x^{2} + e \cdot x + f$

According to the statement of the problem, the polynomial has the following roots:

$p_{5} (t) = (x - r_{1})\cdot (x-3)^{2}\cdot x^{2} \cdot (x+1)$

Then, some algebraic handling is done to expand the polynomial:

$p_{5} (t) = (x - r_{1}) \cdot (x^{3}-6\cdot x^{2}+9\cdot x) \cdot (x+1)\\p_{5} (t) = (x - r_{1}) \cdot (x^{4}-5\cdot x^{3} + 3 \cdot x^{2} + 9 \cdot x)$

$p_{5} (t) = x^{5} - (5+r_{1})\cdot x^{4} + (3 + 5\cdot r_{1})\cdot x^{3} +(9-3\cdot r_{1})\cdot x^{2} - 9 \cdot r_{1}\cdot x$

If $r_{1} = 0$ , then:

$p_{5} (t) = x^{5} - 5\cdot x^{4} + 3\cdot x^{3} +9\cdot x^{2}$

5 0

3 years ago

If x is 5, then 6x= __.

Misha Larkins [42]

Answer:

Step-by-step explanation:

Plug in x:

6(5)=30

5 0

3 years ago

Read 2 more answers

How many times bigger is 10 to the 11th power than 10 to the 3rd power?

Lapatulllka [165]

10^11 is 100,000,000,000

10^3 is 1000

1,10,100,1000,10000,100000,1000000,100000000,100000000000.

I think it might be 4 times bigger

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3 years ago

When the light turns yellow, should you stop or go through it? The article "Evaluation of Driver Behavior in Type II Dilemma Zon

Natasha2012 [34]

Answer:

No, does not differ.

Step-by-step explanation:

Given that there are two intersections route 7 and route 62.

At the intersection of Route 7 and North Shrewsbury in Clarendon, Vermont, 154 vehicles were observed to encounter a yellow light in the indecision zone, and 21 of them ran the red light. At the intersection of Route 62 and Paine Turnpike in Berlin, Vermont, 183 vehicles entered the intersection in the indecision zone, and 20 ran the red light.

Let p1 be the first proportion and p2 the second

We want to test whether these two proportions differ

$H_0: p_1 = p_2\\H_a: p_1 \neq p_2$