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3 years ago

What is the product of 7 × 7 × 7

Mathematics

2 answers:

Tatiana [17]3 years ago

8 0

7 x 7 is 49
49 x 7 is 343

valkas [14]3 years ago

8 0

7 × 7 × 7 = 7³

7 × 7 × 7 = 49 × 7 = 343

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Consider the polynomials p(x) = 3x + 27x^2 and q(x)= 2 . Find the x -coordinate(s) of the point(s) of intersection of these two

Tom [10]

Answer:

The x -coordinate(s) of the point(s) of intersection of these two polynomials are $x=\frac{2}{9}\approx0.2222,\:x=-\frac{1}{3}\approx-0.3333$

The sum of these x -coordinates is $\frac{2}{9}+\left(-\frac{1}{3}\right)=-\frac{1}{9}$

Step-by-step explanation:

The intersections of the two polynomials, p(x) and q(x), are the roots of the equation p(x) = q(x).

Thus, $3x + 27x^2=2$ and we solve for x

$3x+27x^2-2=2-2\\27x^2+3x-2=0\\\left(27x^2-6x\right)+\left(9x-2\right)\\3x\left(9x-2\right)+\left(9x-2\right)\\\left(9x-2\right)\left(3x+1\right)=0$

Using Zero Factor Theorem: = 0 if and only if = 0 or = 0

$9x-2=0\\9x=2\\x=\frac{2}{9}$

$3x+1=0\\3x=-1\\x=-\frac{1}{3}$

The solutions are:

$x=\frac{2}{9}\approx0.2222,\:x=-\frac{1}{3}\approx-0.3333$

The sum of these x -coordinates is

$\frac{2}{9}+\left(-\frac{1}{3}\right)=-\frac{1}{9}$

We can check our work with the graph of the two polynomials.

4 0

3 years ago

Directions: Using only numbers 1-6 (and only once per inequality), fill in the boxes to create a true statement with the smalles

yuradex [85]

Answer:

$1.40$

Step-by-step explanation:

√2=1.41

So, the smallest possible interval will be 1.40 and 1.42

√3=1.73

So, the smallest possible interval will be 1.72 and 1.74

√4=2.00

So, the smallest possible interval will be 1.99 and 2.01

√5=2.24

So, the smallest possible interval will be 2.23 and 2.25

√6=2.45

So, the smallest possible interval will be 2.44 and 2.46

7 0

3 years ago

An IQ test is designed so that the mean is 100 and the standard deviation is 12 for the population of normal adults. Find the sa

Julli [10]

Answer:

Step-by-step explanation:

Given that IQ mean is 100 and std dev = 12 for normal adults

$Confidence level =90%\\Z critical value = 1.645\\Margin of error = 2\\Margin of error = 1.645* std error =2\\Std error = 1.216$

Std error = $\frac{12}{\sqrt{n} } =1.216$

$n=(\frac{12}{1.216} )^2 =97.38$

i.e. sample size should be atleast 97

The required sample size is 97.

This is reasonable as this is greater than 30

Yes. This number of IQ test scores is a fairly large number.

5 0

3 years ago

Solve the following Simultaneous equation<br>Using any suitable method<br> x+6y=2, 3x +2y =10

uranmaximum [27]

Answer:

x = 0.5

y = -1/4 or -0.25

Step-by-step explanation:

x + 6y = 2

3x + 2y = 10

Multiply a number by any of the equations to get numbers of the same variable

3x + 18y = 6

3x + 2y = 10

3x - 3x = 0

NB: subtract evenly if u subtract down from top make sure u subtract down from top throughout

16y = -4

16y/16 = -4/16

y = -1/4 or -0.25

to find the x value, any where you see y u put in the y value(-0.25)

So u'll pick just one of the equations above

x + 6(0.25) = 2

x + 1.5 = 2

x = 1.5 + 2

x = 0.5

5 0

3 years ago

For the middle school dance, the student council ordered 22 balloons printed with the school logo. On the night of the party, 6

77julia77 [94]

Answer:

ANSWER FOR ONE IS 6

AND THE TWO IS:7

4 0

2 years ago