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konstantin123 [22]
4 years ago
13

Consider the quadratic function f(x)=2x2−8x+1.

Mathematics
1 answer:
Allisa [31]4 years ago
4 0

Answer:

is in the picture above

Step-by-step explanation:

Hope it helps

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Find the equations of the following lines
White raven [17]

You need these two basic solutions and facts to find the equation of a line:

  • If you know the gradient m and one point (x_0,y_0):

y-y_0=m(x-x_0)

  • If you know the gradient two points (x_1,y_1),\ (x_2,y_2):

\dfrac{x-x_2}{x_1-x_2}=\dfrac{y-y_2}{y_1-y_2}

  • The slope of a line is the coefficient m when you write it in the y=mx+q form
  • Parallel lines have the same slope
  • The slopes of perpendicular lines give -1 when multiplied

We can use this list to solve all the exercises:

b)

Use the first equation to get

y-1=-4(x-2) \iff y=-4x+9

c)

Use the second equation to get

\dfrac{x-4}{2-4}=\dfrac{y-2}{-1-2} \iff \dfrac{x-4}{-2}=\dfrac{y-2}{-3}\iff 3(x-4)=2(y-2) \iff 3x-12=2y-4 \iff 2y = 3x-8 \iff y = \frac{3}{2}x-4

d) same as c)

e) We derive the slope of the line by writing it as

5y = -x-15 \iff y = -\dfrac{1}{5}x-3

So, the slope is -1/5. From here, it's the same as b)

f) same as e)

g) Again we find the slope as

3x+y+2=0\iff y=-3x-2

so the slope is -3, and a perpendicular line has slope 1/3. From there, it's the same as b).

6 0
4 years ago
Which statement about the solution of the inequality k<-3 1/4 is true?
Juliette [100K]

Answer: Last option

The number -8.4 is a solution to the inequality because -8.4 is located to the left of -3\frac{1}{4} on the number line.

Step-by-step explanation:

Note that: -3\frac{1}{4} =-3-\frac{1}{4} =-3.25

The inequality is:

k

The inequality is:

This means that the inequality includes all values of the number line that are less than -3.25 or that are to the left of -3.25

__-8.4_________-3.25_-3____0___0.9____________7.1__

Note that the number -8.4 is less than -3.25, because it is to its left on the number line.

Then the correct statement is:

The number -8.4 is a solution to the inequality because -8.4 is located to the left of -3\frac{1}{4} on the number line.

4 0
3 years ago
Read 2 more answers
Pleaseeeee hellllppp
kiruha [24]
The answer is b hope i help
5 0
3 years ago
Select all statements below which are true for all invertible n×n matrices A and B
nirvana33 [79]
The statements that are rue for <span>all invertible n×n matrices A and B are:
</span><span>(A+B)(A−B)=A^2−B^2
</span>and 
<span>(ABA^−1)^4=AB^4A^−1 
</span>From the above results we can conclude that the correct options among all the options that are given in the question are option "B" and option "E". I hope the answer helps you.
7 0
3 years ago
Ninety percent of the 30 students were right handed what percent of the students were left-handed?
Dennis_Churaev [7]
To find out how many students were left handed, we know that if 90% were right handed, then 10% have to be left handed.

30 students x 0.10 = 3 students left handed
7 0
4 years ago
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