All categories

4 years ago

Solve -9x - 31=-11+25

Mathematics

2 answers:

Westkost [7]4 years ago

7 0

The answer to this is -5

nikdorinn [45]4 years ago

3 0

Answer:

x = -5

Step-by-step explanation:

the first step is calculate the sum.

-9x - 31 = 14

Then move the constant to the right side and change the sign.

-9x = 14 + 31

Then add the numbers

-9x = 45

Then divide both sides of the equation by -9

x = -5

You might be interested in

Find tan a and sin b if a=10 and b=7...... please help this is for trigonometry

xz_007 [3.2K]

I think it’s R maybe

4 0

3 years ago

Ludovica creates flashcards for her vocabulary words. She creates 3 more cards per verb than per noun. Ludovica creates 2 fewer

S_A_V [24]

Answer:

5 per noun, 8 per verb

Step-by-step explanation:

start by defining what each variable is

v = n+3

v = 2n-2

substitute v for one of the equations above

n+3 = 2n-2

subtract n from both sides

3 = n-2

add 2 to each side

5 = n

so there are 5 flashcards per noun

substitute 5 in for n in both equations

v = 5+3

and

v = 2(5)-2

solve both equations

v = 8 and v = 8

so there are 8 flashcards per verb

5 0

4 years ago

A professor gives two types of quizzes, objective and recall. He is planning to give at least 15

nadya68 [22]

Answer:

x₁ = 20 x₂ = 0

z (min) = 20

Step-by-step explanation:

According to the problem statement:

Let´s call

Objective quiz = x₁ Recall quiz = x₂

First constraint

Quantity of quizzes at least 15

x₁ + x₂ ≥ 15

Second constraint:

Preparation time at least 300 minutes, then

15*x₁ + 30*x₂ ≥ 300

Third constraint

Average score at least 85 points

7*x₁ + 5*x₂ ≥ 85

General constraint x₁ ≥ 0 x₂ ≥ 0

Objective function z is:

z = 1* x₁ + 1,5*x₂ to minimize

The model:

z = x₁ + 1,5x₂ to minimize

Subject to

x₁ + x₂ ≥ 15

15*x₁ + 30*x₂ ≥ 300

7*x₁ + 5*x₂ ≥ 85

Using Atozmax (online solver) we find

x₁ = 20 x₂ = 0

z (min) = 20

5 0

3 years ago

Which graph shows the solution to this system of linear inequalities? y>2x+3 y<-2x-4

Kamila [148]

The graph that shows the solution to the given system of linear inequalities is shown below

<h3>Graph of Inequalities </h3>

From the question, we are to draw the graph that shows the solution to the given system of linear inequalities

The given system of linear inequalities is

y>2x+3

y<-2x-4

The graph that shows the solution to the given system of linear inequalities is shown below

Learn more on Graphing inequalities here: brainly.com/question/11234618

#SPJ1

8 0

2 years ago

Find the z score that cuts-off the largest 9% under the standard normal curve. a) -1.34 b) 1.34 c) 0.536 d) 1.28

topjm [15]

Answer:

b) 1.34

Step-by-step explanation:

The z score is used to determine the number of standard deviations by which the raw score is above or below the mean. If the z score is positive then the z score is above the mean while for a negative z score implies that it is below the mean. The z score is given by:

$z=\frac{x-\mu}{\sigma}$

For the largest 9%, the score is 100% - 9% = 91% = 0.91

From the normal distribution table, the z score that corresponds to 0.91 is 1.34

4 0

3 years ago