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Citrus2011 [14]
2 years ago
8

Solve for z. -4z+1 = bz+c

Mathematics
1 answer:
blagie [28]2 years ago
3 0

Answer:

\large\boxed{z=\dfrac{1-c}{4+b}}

Step-by-step explanation:

-4z+1=bz+c\qquad\text{subtract 1 from both sides}\\\\-4z=bz+c-1\qquad\text{subtract}\ bz\ \text{from both sides}\\\\-4z-bz=c-1\qquad\text{change the signs}\\\\4z+bz=1-c\qquad\text{distribute}\\\\(4+b)z=1-c\qquad\text{divide both sides by}\ (4+b)\neq0\\\\z=\dfrac{1-c}{4+b}

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The double box plot shows the test scores for Miss Robinson's second and fourth period
Afina-wow [57]

Answer: The second period class has the greater first quartile.

4 0
3 years ago
What proportion of students are willing to report cheating by other students? A project put this question to an SRS of 180 under
krok68 [10]

Answer:

13.89% of students are willing to report cheating by other students.

Step-by-step explanation:

We are given the following in the question:

Sample size, n = 180

Number of students who reported cheating, x = 25

We have to find the proportion of the students are willing to report cheating by other students.

Proportion of students can be calculate as

p = \dfrac{x}{n} = \dfrac{25}{180} = 0.1389\\\\\p = 0.1389\times 100\5\\p = 13.89\%

Thus, 13.89% of students are willing to report cheating by other students.

8 0
3 years ago
Ermias and Jeremiah both leave the bookstore at the same time, but in opposite directions. If Jeremiah travels 8 mph faster than
leva [86]

Using proportions, it is found that Ermias is traveling at a rate of 11 mph and Jeremiah at a rate of 19 mph.

<h3>What is a proportion?</h3>

A proportion is a fraction of a total amount, and the measures are related using a rule of three.

Jeremiah travels 8 mph faster than Ermias, hence their velocities are:

x, x + 8

They travel in opposite directions, hence in one hour they are 2x + 8 apart.

In eight hours, the distance is 8(2x + 8), which is of 240 miles, hence:

8(2x +8) = 240

2x + 8 = 30

2x = 22

x = 11.

Then:

  • x = 11 -> Ermias.
  • x = 11 + 8 = 19 -> Jeremiah.

More can be learned about proportions at brainly.com/question/24372153

#SPJ1

3 0
1 year ago
IM BEGGING YOU PLEASE HELP I WILL GIVE BRAINLIEST!!!!
tensa zangetsu [6.8K]

Answer: The second answer.

Step-by-step explanation:

3 0
3 years ago
The equation 2x^2 + x - 1 = 0 has two solutions. Find an equation of the form ax^2 + bx + c = 0, which solutions....
leonid [27]

Answer:

Step-by-step explanation:

Let the solution to

2x^2 + x -1 =0

x^2+ (1/2)x -(1/2)

are a and b

Hence a + b = -(1/2) ( minus the coefficient of x )

ab = -1/2 (the constant)

A. We want to have an equation where the roots are a +5 and b+5.

Therefore the sum of the roots is (a+5) + (b+5) = a+ b +10 =(-1/2) + 10 =19/2.

The product is (a+5)(b+5) =ab + 5(a+b) + 25 = (-1/2) + 5(-1/2) + 25 = 22.

So the equation is

x^2-(19/2)x + 22 =0

2x^2-19x + 44 =0

B. We want the roots to be 3a and 3b.

Hence (3a) + (3b) = 3(a+b) = 3(-1/2) =-3/2 and

(3a)(3b) = 9(ab) =9(-1/2)=-9/2.

So the equation is

x^2 +(3/2) x -9/2 = 0

2x^2 + 3x -9 =0.

4 0
3 years ago
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