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3 years ago

If m=3 and n=-4 calculate the value of mn +n²

Mathematics

2 answers:

jonny [76]3 years ago

6 0

Answer:

Step-by-step explanation:

-4×-4=16

3×4=12

12+16=28

IRINA_888 [86]3 years ago

5 0

I think the answer is 4

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Witch division problem does the number line below best illustrated

krok68 [10]

10 divided by 2 =5 because it ends at 10 and goes back by 2 and there are 5 loops

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3 years ago

12 centimeters blank 98 millimeters

masha68 [24]

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3 years ago

Write the equation of the quadratic function that passes through the points (-1, 1), (1, 5), and (2,10).

Serjik [45]

Answer:

$\displaystyle f(x)=x^2+2x+2$

Step-by-step explanation:

<u>System Of Linear Equations </u>

In this problem, we'll need to solve a 3x3 system of linear equations because we have three unknowns and three conditions.

We are required to find the equation of the quadratic function that passes through the points (-1, 1), (1, 5), and (2,10)

The general quadratic function can be written as

$\displaystyle f(x)=ax^2+bx+c$

We need to find the values of a,b, and c. Let's use the first condition, i.e. f(-1)=1

$\displaystyle f(-1)=a(-1)^2+b(-1)+c$

$\displaystyle f(-1)=a-b+c$

$\displaystyle a-b+c=1.....[eq\ 1]$

Now we use the second condition f(1)=5

$\displaystyle f(1)=a(1)^2+b(1)+c$

$\displaystyle f(1)=a+b+c$

$\displaystyle a+b+c=5.......[eq\ 2]$

Finally, we use the third condition f(2)=10

$\displaystyle f(2)=a(2)^2+b(2)+c$

$\displaystyle f(2)=4a+2b+c$

$\displaystyle 4a+2b+c=10....[eq\ 3]$

We put together eq 1, eq 2, and eq 3 to form the system

$\displaystyle \left\{\begin{matrix}a-b+c=1\\ a+b+c=5\\ 4a+2b+c=10\end{matrix}\right.$

Adding the first two equations we have

$\displaystyle 2a+2c=6$

$\displaystyle a+c=3$

And also

$\displaystyle b=2$

Using the above equation and the value of b in the third equation, we have

$\displaystyle \left\{\begin{matrix}a+c=3\\ 4a+c=6\end{matrix}\right.$

Subtracting the first equation from the second

$\displaystyle 3a=3$

$\displaystyle a=1$

And therefore

$\displaystyle c=2$

Now we have all the values, the quadratic function is

$\displaystyle \boxed{f(x)=x^2+2x+2}$

6 0

3 years ago

What is the difference between internal validity and external validity? A. A statistical analysis is said to have external vali

Arada [10]

Answer:

Step-by-step explanation:

Internal validity means that it it valid for the population within the study internal = study). While external validity means that it has wider applications and is valid for people outside the study or in different setting. In other word, a statistical analysis has internal validity if the statistical inferences about causal effects apply for those being studied. It has external validity when if can be generalized to other settings and populations. The answer choice which best matches this is B.

Answer choices:

A. A statistical analysis is said to have external validity if the statistical inferences about causal effects are valid for the population being studied. The analysis is said to have internal validity if conclusions can be generalized to other populations and settings.

B. A statistical analysis is said to have internal validity if the statistical inferences about causal effects are valid for the population being studied. The analysis is said to have external validity if conclusions can be generalized to other populations and settings.

C. A statistical analysis is said to have internal validity if the statistical inferences about causal effects can only be verified by a few researchers. The analysis is said to have external validity if conclusions can be verified by many researchers.

D. Internal validity and external validity are equivalent.

3 0

3 years ago

Points A, B, and C are on line AC. Angle CBD has a measure of 140°. What is the measure of angle ABD? 40° 50° 60° 70°

melamori03 [73]

Answer: The correct option is 1 and measure is 40.

Explanation:

It is given that points A, B, and C are on line AC. Angle CBD has a measure of 140°.

Draw a diagram using given information,

From the figure it is noticed that the angle CBD and angle ABD are lies on straight line and lies on the same arc. So, the angle CBD and angle ABD are supplementary angles and their sum is 180 degree.

$\angle ABD+\angle CBD=180$