MATHEMATICS COLLEGE

What is the slope of the function? –6 –4 4 6graph :
x
-2
-1
0
1
2

y
8
2
-4
-10
-16

Answers

Answer 1
Answer:

to get the slope, all  we need is two points, so let's pick two off the table.


\bf \setlength{\fboxsep}{1pt}\begin{array}{rrll}x&y\n\cline{1-2}\n\boxed{-2}&\boxed{8}\n-1&2\n\boxed{0}&\boxed{-4}\n1&-10\n2&-16\end{array}~\hspace{5em}(\stackrel{x_1}{-2}~,~\stackrel{y_1}{8})\qquad(\stackrel{x_2}{0}~,~\stackrel{y_2}{-4})\n\n\n\slope = m\implies\cfrac{\stackrel{rise}{ y_2- y_1}}{\stackrel{run}{ x_2- x_1}}\implies \cfrac{-4-8}{0-(-2)}\implies \cfrac{-4-8}{0+2}\implies \cfrac{-12}{2}\implies -6
Answer 2
Answer:

Answer:

-6 i got it right

Step-by-step explanation:

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A survey of 100 similar-sized hospitals revealed a mean daily census in the pediatrics service of 27 with a standard deviation of 6.5. Researchers test whether these data provide sufficient evidence to indicate the mean is greater than 25. Use α=.05. Give 1. the hypotheses, 2. appropriate test, 3. decision rule, 4. calculated test statistic, and 5. conclusion with a comparison to the critical value or alpha.
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The ray XZ is the angle bisector of ∠WXY and m∠WXY = 105°. Enter m∠WXZ. The measure of ∠WXZ is

Answers

Answer:

52.5°

Step-by-step explanation:

Given : The ray XZ is the angle bisector of ∠WXY and m∠WXY = 105°.

To Find : The measure of ∠WXZ is ?

Solution:

∠WXY = 105°

The ray XZ is the angle bisector of ∠WXY

This means XZ divides the ∠WXY in two equal angles i.e. ∠WXZ and ∠ZXY

So, ∠WXY = ∠WXZ + ∠ZXY

∠WXY = 2∠WXZ

105 = 2 \angle WXZ

52.5 =\angle WXZ

Hence The measure of ∠WXZ is 52.5°

∠WXZ = 52.5°

∠WXY = 105°

and ∠WXY = ∠WXZ + ∠ZXY

∠WXZ = (105)/(2) = 52.5°

What is the value of “a” in the function equation?

Answers

Answer:     the value of A is 2

Step-by-step explanation:

Use the technique developed in this section to solve the minimization problem. Minimize C = −3x − 2y − z subject to −x + 2y − z ≤ 20 x − 2y + 2z ≤ 25 2x + 4y − 3z ≤ 30 x ≥ 0, y ≥ 0, z ≥ 0 The minimum is C = at (x, y, z) = .

Answers

Answer:

C= -145, (35/4, 295/8, 45)

Step-by-step explanation:

Use Gaussian elimination to find the values of x, y and z

Eq 1: -x+2y-z=20

Eq 2: x-2y+2z=25

Eq 3: 2x+4y-3z=30

  • Multily Eq1 by 1 and add to Eq 2

Eq 1: (-x+2y-z=20 ) × 1

Eq 2:  x-2y+2z=25

Eq 3:  2x+4y-3z=30

⇒ Eq1: -x+2y-z=20

    Eq2:         z= 45

   Eq 3: 2x+4y-3z=30

  • Multiply Eq 1 by 2 and then add to Eq 3

Eq1:  (-x+2y-z=20 ) × 2

Eq2:            z= 45

Eq3:   2x+4y-3z=30

⇒ Eq1:  -x+2y-z=20

   Eq2:            z= 45

  Eq3:      8y-5z= 70

  • swap Eq 2 and Eq 3

Eq 1: -x+2y-z=20

Eq 3:     8y-5z= 70

Eq 2:       z= 45

  • Solve Eq 2 for z

Z=45

  • solve Eq Eq 3 for y.

y= 295/8

  • Using the value z=45 and y= 295/8, substitue in Eq 1 to get value of x

x= 35/4

  • Substitue values of x,y and z in C= -3x-2y-z to get minimum value of C

C= -145

Laurie was scuba diving. Each time she dove 5 feet deeper, she would stop and clear her ears. Each time that this totaled 20 feet deeper, she would stop and check her instruments to make sure they were working properly. After Laurie had checked her instruments 3 times, she was at her maximum depth. Which expression best represents Laurie’s maximum depth? A: (4)(-5)(3)
B: (-4)(-5)(-3)
C: (-5)(20)(3)
D: (-5)(-20)(-3)

Answers

You could compute it based on the given information as (-20)(3). The next best choice is ...
  A: (4)(-5)(3)

_____
There is nothing in the problem statement that specfically says after 4 stops she checks her instruments. You have to figure that from -20/-5. That is why I would skip that step and go directly to (-20)(3).
C because shes going deeper which is down so negattive

What is 2 times 2..










​

Answers

Answer:

4

Step-by-step explanation:

2x2=4.

Answer:

1,000,000,000 JK its 4

2+2=4

so...

2x2=4

Use the following to answer Sean takes two 250 mg chewable calcium tablets each day, 6) How many milligrams of calcium will Sean take in a week?
7) How many grams of calcium will Sean take in a week?​

Answers

6. 1,750 mg in a week 7. 1.75 g in a week
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