Ask question

Ask question

All categories

4 years ago

8

Mark is solving a equation where one side is a quadratic expression and the other side is a linear experssion he sets the expres

sion equal to y and graphs the equation what is the greatest possible number of interactions for these graphs

1 answer:

liraira [26]4 years ago

5 0

Answer: The answer would be two because one of the lines would be a parabolic line and parabolic lines only have at the most two solutions

You might be interested in

A. Use the points (5, 1273) and (10, 2546) to write an equation for the line.

pantera1 [17]

Using the points (5, 1273) and (10, 2546), equation for the line is 5y = 1273x.

<h3>Define equation.</h3>

There are many different ways to define an equation. The definition of an equation in algebra is a mathematical statement that demonstrates the equality of two mathematical expressions. For instance, the equation 3x + 5 = 14 consists of the two equations 3x + 5 and 14, which are separated by the 'equal' sign. Mathematical algebraic equations typically have one or more variables.

Given,

Coordinates (5, 1273) and (10,2546)

For slope, m

m = y₂ - y₁/ x₂ - x₁

m = 2546 - 1273/10 -5

m = 1273/5

Equation in y = mx form,

y = 1273/5 x

Cross multiplying,

5y = 1273x

To learn more about equation, visit:

brainly.com/question/10413253

#SPJ1

8 0

1 year ago

A series consists of some numbers such that the summation of the divisors of any number of that series is 1 less than twice of t

dezoksy [38]

Answer:

The 9th term is 17179869184

Step-by-step explanation:

Here we have that;

The divisors of 1 = 1 which is 1 less than 1*2

The sum of the divisors of 2 = 1 + 2 = 3 which is 1 less than 2*2

The sum of the divisors of 4 = 1 + 2 + 4 which is 1 less than 4*2

The sum of the divisors of 8 = 1 + 2 + 4 + 8 which is 1 less than 8*2

The sum of the divisors of 32 = 1 + 2 + 4 + 8 + 16 + 32 which is 1 less than 32*2

The sum of the divisors of 256 = 1 + 2 + 4 + 8 + 16 + 32 + 64 + 128 + 256 which is 1 less than

The next numbers are therefore,

32 × 256 = 8192

256 × 8192 = 2097152 and the 9th term is therefore;

8192 × 2097152 = 17179869184.

4 0

3 years ago

The level of nitrogen oxides (NOX) in the exhaust of cars of a particular model varies Normally with standard deviation σ =0.05

Pie

Answer:

z = -0.139

The data provide evidence that this particular meets the government regulation

Step-by-step explanation:

To determine if the the data provide evidence that this particular meets the government regulation, we need to define a null and alternative hypothesis as:

H0: m = 0.3

H1: m > 0.3

where m is the population mean NOX emission.

Then, we need to find the appropriate statistic. So, taking into account that the model follows a Normal distribution with standard deviation equal to 0.05, the statistic is equal to:

$z=\frac{x-m}{s/\sqrt{n} }$

where x is the mean of the sample, m is 0.3 g/mi, s is the population standard deviation and n is the size of the sample.

Therefore, replacing x by 0.298, m by 0.3, s by 0.05 and n by 12, we get that the test statistic is:

$z=\frac{0.298-0.3}{0.05/\sqrt{12} }=-0.139$

Finally, we need to find the p-value using the normal distribution table as:

p-value = P(z > -0.139 ) = 0.4443

So, taking into account that the p-value is big value, we can conclude that we don't reject H0. It means that the data provide evidence that this particular meets the government regulation.

8 0

3 years ago

What is x and the measure of angle EHF<br><br>

grin007 [14]

Answer:

x = 10, ∠ EHF = 110°

Step-by-step explanation:

7x and 11x are adjacent angles and sum to 180° , then

7x + 11x = 180

18x = 180 ( divide both sides by 18 )

x = 10

∠ EHF = 11x = 11(10) = 110°

8 0

3 years ago

Read 2 more answers

Steven wishes to save for his retirement by depositing $2,000 at the beginning of each year for thirty years. Exactly one year a

Ad libitum [116K]

Step-by-step explanation:

i = interest 3% for 30 years

This is a simple dynamical system for whom the the solutions are given as

$S=R[\frac{(i+1)^n-1}{i}](i+1)$

putting values we get

S=2000[\frac{(1.03)^{30}-1}{0.03}](1.03)

= $98005.35

withdrawal of money takes place from one year after last payment

To determine the result we use the present value formula of an annuity date

$P = R\frac{1-(1+i)^{-n}}{i}{i+1}$

we need to calculate R so putting the values and solving for R we get

R= $6542.2356

8 0

3 years ago