construct the linear equation for the table

Answer:

Same to me he sent a link to like almost every question it didn't work for me

Step-by-step explanation:

Answer:

x= -3 and y= 0

Step-by-step explanation:

5x+2y=-15

2x-2y=-6    

7x        =-21

x= -3

Putting value of x in equation 1  

5(-3) +2y=-15

-15+2y= -15

2y= 0

y= 0

This can be solved with the help of matrices

In matrix form the above equations can be written in the form

[tex]\left[\begin{array}{ccc}5&2\\2&-2\/\end{array}\right][/tex]  [tex]\left[\begin{array}{ccc}x\\y\\\end{array}\right][/tex]  = [tex]\left[\begin{array}{ccc}-15\\-6\\\end{array}\right][/tex]

Let

[tex]\left[\begin{array}{ccc}5&2\\2&-2\/\end{array}\right][/tex] = A  [tex]\left[\begin{array}{ccc}x\\y\\\end{array}\right][/tex]  = X  and  [tex]\left[\begin{array}{ccc}-15\\-6\\\end{array}\right][/tex]= B

Then AX= B

or X= A⁻¹ B

where  A⁻¹= adj A/ ║A║   where mod A≠ 0

adj A=  [tex]\left[\begin{array}{ccc}-2&-2\\-2&5\/\end{array}\right][/tex]

║A║= ( 5*-2- 2*2)= -10-4= -14≠0

X= A⁻¹ B

 [tex]\left[\begin{array}{ccc}x\\y\\\end{array}\right][/tex]    =- 1/14  [tex]\left[\begin{array}{ccc}-2&-2\\-2&5\/\end{array}\right][/tex]   [tex]\left[\begin{array}{ccc}-15\\-6\\\end{array}\right][/tex]

 [tex]\left[\begin{array}{ccc}x\\y\\\end{array}\right][/tex]    =- 1/14     [tex]\left[\begin{array}{ccc}-2*-15&+ -2*-6\\-2*-15&+ 5*-6\\\end{array}\right][/tex]

 [tex]\left[\begin{array}{ccc}x\\y\\\end{array}\right][/tex]  =- 1/14 [tex]\left[\begin{array}{ccc} 30&+12\\30&+-30\\\end{array}\right][/tex]

 [tex]\left[\begin{array}{ccc}x\\y\\\end{array}\right][/tex]  =- 1/14 [tex]\left[\begin{array}{ccc}42\\0\\\end{array}\right][/tex]

[tex]\left[\begin{array}{ccc}x\\y\\\end{array}\right][/tex]  = [tex]\left[\begin{array}{ccc}-42/14\\0/-14\\\end{array}\right][/tex]

[tex]\left[\begin{array}{ccc}x\\y\\\end{array}\right][/tex]  = [tex]\left[\begin{array}{ccc}-3\\0\\\end{array}\right][/tex]

From here x= -3 and y= 0

Solution Set = [(-3,0)]

Answer:

10

Step-by-step explanation:

Pyth. Theorem:

a = leg, b = leg, c = hypotenuse

[tex]c = \sqrt{ {a}^{2} + {b}^{2} }[/tex]

The length of the third side

=

[tex]\sqrt{ {5 \sqrt{3} }^{2} + {5}^{2} }[/tex]

=

[tex]\sqrt{75 + 25}[/tex]

=

[tex]\sqrt{100}[/tex]

= 10

9514 1404 393

Answer:

  b. intersects x-axis

Step-by-step explanation:

A zero of the polynomial is where y = 0. The equation y = 0 is the equation of the x-axis, so intersections of the graph of the function with the x-axis are places where the function value is zero.

The number of (distinct real) zeros is equal to the number of points where the graph intersects the x-axis.

_____

Additional comment

When (x -p)^n is a factor of the polynomial, the graph will intersect the x-axis at x=p. The zero is said to have "multiplicity n". For odd values of n, the graph will cross the x-axis (change sign) at x=p. For even values of n, the graph will touch the axis at x=p, but will not cross there.

So, the number of intersections with the x-axis tells the number of distinct real zeros, but does not say anything about their multiplicity. Complex zeros will not cause the graph to touch the x-axis.

Answer:

Step-by-step explanation:

Parts of the question are missing.

y = a(x-h)² + k is a vertical parabola.

If a is positive, the parabola opens upwards.

If a is negative, the parabola opens downwards.

The vertex is at (h, k)

Answer: C: A=18

Step-by-step explanation: If your are adding 5 every time the x value goes up by one, then you would add 5 to13, henceforth getting 18.

The value of a that completes the table is 18

The rate of change of a function is expressed in term of the slope.

In order to determine the value of a, we will use the expression below;

Slope = a - 13/4-3 = 23-13/5-3
a-13 = 10/2

a - 13 = 5

Add 13 to both sides

a =5 + 13

a = 18

Hence the value of a that completes the table is 18

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Answer:

3.7 is the right answer

Step-by-step explanation:

Answer:

3.7

Step-by-step explanation:

Answer:

im guessing you add the overtime work money to the weeks normal wage, which would be 192.5$.

Step-by-step explanation:

6.5 hours x 5/hr$ = 32.5$ + 160$

Answer:

B = 60°

Since the measure of all sides of the given triangle are equal, it is an equilateral triangle.

An equilateral triangle have all sides and angles equal.

Therefore, each angle measures 60°.

Answer: 0.06

Step-by-step explanation: subtract them and you'll get your answer

The probability that a randomly selected student takes an art class, given the student is on honor roll is P ( A|B ) = 0.75

The probability that an event will occur is measured by the ratio of favorable examples to the total number of situations possible

Probability = number of desirable outcomes / total number of possible outcomes

The value of probability lies between 0 and 1

Given data ,

The conditional probability is given by

P(A|B) = P(A and B) / P(B)

where A and B are events.

In this case, let A be the event that a randomly selected student takes an art class, and let B be the event that the student is on honor roll.

The probability that a selected student is on honor roll P ( B ) = 0.24

The probability that a selected student is on honor roll and takes an art class P (A and B) = 0.18

Now ,  the probability that a randomly selected student takes an art class, given the student is on honor roll P(A|B) = P(A and B) / P(B)

P(A|B) = P(A and B) / P(B) = 0.18 / 0.24 = 0.75

Hence , the probability is 0.75 or 75%

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Answer:

8/40 + 20/40 = 28/40

Step-by-step explanation:

It's about finding the common denominator for the fractions.

we can easily see that 40 is a common denominator for denominators 10 and 4. 20 would work too, but 40 is "instantly seen".

2/10 = (2*4) / (10*4) = 8/40

2/4 = (2*10) / (4*10) = 20/40

8/40 + 20/40 = (8+20) / 40 = 28/40

Answer:

a) x=3

b) z=10

c) P= 2

d) X=7

e) U=1

Step-by-step explanation:

Resolver una ecuación consiste en hallar los valores de la variable que hacen cierta la igualdad.

a) 2x= 6

El coeficiente es el número junto a la variable. En este caso, el coeficiente es 2. Para eliminar este número en la expresión 2x, debido a que la variable x esta multiplicada por 2, deberás dividir ambos lados de la ecuación entre 2, debido a que la operación opuesta de la multiplicación es la división.

(2x)÷2=6÷2

x= 3

Comprobar la solución de una ecuación se hace al remplazar la variable en una ecuación con el valor de la solución. La solución debería satisfacer la ecuación cuando se ingresa en esta.

En este caso:

2*3= 6

6=6

b) 10 + z= 20

En este caso se debe sumar o restar la constante que se encuentra acompañando a la variable en ambos lados de la ecuación de manera de aislar el término de la variable. En este caso:

10 - 10 + z= 20 -10

z= 10

Comprobación:

10 + z=20

10 + 10=20

20=20

c) P + 9= 11

P +9 - 9= 11 -9

P=2

Comprobación:

2 + 9= 11

11=11

d) 3X + 8 = 29

En este caso, se suma o resta la constante en ambos lados de la ecuación y luego se elimina el coeficiente de la variable mediante la división o multiplicación. Esto es:

3X + 8 - 8= 29 - 8

3X= 21

3X ÷3= 21÷3

X=7

Comprobación:

3*7 + 8=29

21+8=29

29=29

e) 2U + 8= 10

2U + 8 - 8= 10 -8

2U= 2

2U ÷2= 2÷2

U=1

Comprobación:

2*1 + 8= 10

2 + 8= 10

10=10

Answer:

f-1(x) is just the opposite of f(x) therefore -x(x-2) =f-1(x)

Step-by-step explanation:

Answer:

7/37 bc you add all of them up and it's 37 so

Answer:  did you make this up? cause i’m confused ‍♀️

Step-by-step explanation:

Answer:

b

Step-by-step explanation:

Answer: -5

Step-by-step explanation:so the elwvator goes down 3 floors so -3+5-7=-5 because 3-5=2 and 2-7=-5 hope this helps

Answer:

hi

Step-by-step explanation:

area of square is a²

14²=196 m

haveca nice day

Answer:

I have no idea.

Step-by-step explanation:

??

Answer:

there isnt any image

Step-by-step explanation:

Answer:

E) q / p

Step-by-step explanation:

Spanish

m% de p = pf / 100

m% de q = mq / 100

El recíproco se obtiene haciendo que el numerador sea el denominador y el denominador el numerador.

El recíproco de m% de p = 100 / mp

El recíproco de m% de q = 100 / mq

Divisor

100 / mp / 100 / mq

= 100 / mp * mq / 100

= mq / mp

= q / p

English

If the reciprocal of m% of p is divided by the reciprocal of m% of q, the result is: A) pq / 100 B) pq C) 1 / pq D) p / q E) q / p

m% of p= mp/100

m% of q= mq/100

The reciprocal is obtained by making the numerator the denominator and the denominator the numerator

The reciprocal of m% of p= 100/mp

The reciprocal of m% of q= 100/mq

Dividing

100/mp/ 100/mq

=100/mp* mq/100

= mq/mp

= q/p

Answer:

Step-by-step explanation:

I believe it’s the last one. A conditional statement will have “if”. The second statement doesn’t make sense. The first and third statements aren’t conditional. The 4th or last statement works.

Answer:

950, 1121.00, 1322.78, 1,560.88, 1,841.84

Step-by-step explanation:

Calculation to determine the sequences that describes his increasing monthly balance

Based on the information given in order for us to determine the sequence we have to multiply the amount owes by the interest rate and then add back the answer you got to the previous amount you multiplied the interest rate to.

First sequence will be the amount he owes on a credit which is $950

Second sequence

950 * .018 = 171.00

950 + 171.00 = 1121.00

Third sequence

1121.00 * .018 = 201.78

1121.00 + 201.78 = 1322.78

Fourth sequence

1322.78*0.18=238.10

1322.78+238.10=1,560.88

Last sequence

1,560.88*0.18=280.96

1,560.88+280.96=1,841.84

Therefore the sequences that describes his increasing monthly balance are:

950, 1121.00, 1322.78, 1,560.88, 1,841.84

The expression is equivalent to the 1/4 (12 -3x) is 3 - 3/4x.

In mathematics, an expression is a phrase that has at least two numbers or variables and at least one math operation. Addition, subtraction, multiplication, or division are all examples of math operations. An expression's structure is as follows: (Number/variable, Math Operator, Number/variable) is an expression.

We have the Expression

1/4 (12 - 3x)

Now, using Distributive Property we get

a x (b+ c) = a x b + a x c

Then, 1/4 (12 - 3x)

= 1/4(12) - 1/4 (3x)

= 3 - 3/4x

Thus, the required expression is 3 - 3/4x.

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Step-by-step explanation:

she should tell the students that sleep less to get to their beds early, as the brain needs rest to function properly

Answer:

There is a correlation between test score and amount of sleep. There may or may not be causation. Further studies would have to be done to determine this.

Step-by-step explanation:

There is a correlation between test score and amount of sleep. There may or may not be causation. Further studies would have to be done to determine this.