Solve the given system using your choice of either graphically or algebraically. Show and explain all work. y = 3x + 2 y = -2x + 7

Answer:

26.2

Step-by-step explanation:

Pythagoras theorem

Answer:

x ≈ 10,54 units

Step-by-step explanation:

Using Pythagoras' identity in the right triangle.

The square on the hypotenuse is equal to the sum of the squares on the other 2 sides, that is

x² + 17² = 20²

x² + 289 = 400 ( subtract 289 from both sides )

x² = 111 ( take the square root of both sides )

x = [tex]\sqrt{111}[/tex] ≈ 10.54 ( to 2 dec. places )

Answer:

Step-by-step explanation:

we have the set

[tex]3m+4n = 2\\\\5m-4n = 14[/tex]

add them both

[tex](3m+4n)+(5m-4n) = 2+14\\\\(3m+5m)+(4n-4n) = 16\\\\8m=16\\\\m = \frac{16}{8}\\\\m = 2[/tex]

now plug in m = 2 in equation 1 (it could aso be equation 2)

[tex]3m+4n = 2\\\\3(2)+4n = 2\\\\6+4n = 2\\\\4n = 2-6\\\\4n = -4\\\\n = -1[/tex]

so the solution is

m = 2

n = -1

Answer: 60°

Step-by-step explanation:

Answer: x=60

Step-by-step explanation:

120+120= 240

360-240= 120

120/2= 60

Answer:

[tex]112[/tex]

The answer is 112

Answer:

The value of g(-2) = -5

Step-by-step explanation:

Explanation:-

Given functions are   f (x) =  3 x - 2 and g(x) = x-3

Given g (x) = x-3

Put x = -2 in g (x) = x-3

⇒  g ( -2 ) = - 2 -3 = -5

The value of g(-2) = -5

Answer:

Range: (2, 14)

General Formulas and Concepts:

Algebra I

Step-by-step explanation:

According to the graph, our line's y-values span from 2 to 14. Since both 2 and 14 are open dot, they are exclusive from the range:

Interval Notation: (2, 14)

Inequality Notation: 2 < y < 14

Answer:

3 x 2 − 2 x + 4 = 2 x 2 − 4

Step-by-step explanation:

Write the problem as a mathematical expression.

3 x 2 − 2 x + 4 = 2 x 2 − 4

Subtract  2 x 2 − 4  from both sides of the equation.

3 x 2 − 2 x + 4 − 2 x 2 − 4 = 0

Simplify each term.

Subtract  4  from  2 . 3 x 2 − 2 x + 4 − 2 x − 2 = 0

Rewrite the expression using the negative exponent rule  

b − n =1 b n . 3 x 2 − 2 x + 4 − 2 1 x 2 = 0

Combine  − 2  and  1 x 2 . 3 x 2 − 2 x + 4 + − 2 x 2 = 0

Move the negative in front of the fraction.

3 x 2 − 2 x + 4 − 2 x 2 = 0

Answer:

x+y  ≤ 20

7.50x+6y ≥ 92

x = dog walking in hours

y = car washing in hours

Answer:

The area of the rectangle A =  25x² -  20x

Step-by-step explanation:

Given

The width of the rectangle = w = 5x - 4

The length of a rectangle = l = 5x

To determine

The area of the rectangle = ?

Using the Formula to determine the area of the rectangle

[tex]A = wl[/tex]

substitute w = 5x - 4 and l = 5x in the formula

[tex]A = (5x-4) (5x)[/tex]

Apply distributive law:  a(b-c) = ab - ac

   [tex]=\left(5x\right)\cdot \:5x-\left(5x\right)\cdot \:4[/tex]

   [tex]=5x\left(5x\right)-4\left(5x\right)[/tex]

as 5x(5x) = 25x²  and  4(5x) = 20x, so

    [tex]=25x^2-20x[/tex]

Therefore, the area of the rectangle A =  25x² -  20x

Answer:

Nope no help. :d

Step-by-step explanation:

Answer:

The length of the shorter part of the wire is 24 centimeters.

Step-by-step explanation:

Let [tex]L[/tex] the total length of the piece of wire, where [tex]L-x[/tex] and [tex]x[/tex] are the perimeters of the greater and lesser squares. All lengths are measured in centimeters. Since squares have four sides of equal length, the side lengths for the greater and lesser squares are [tex]\frac{L-x}{4}[/tex] and [tex]\frac{x}{4}[/tex]. From statement we find that the sum of the areas of the two squares ([tex]A[/tex]), measured in square centimeters, is represented by the following expression:

[tex]A = \left(\frac{L-x}{4} \right)^{2}+\left(\frac{x}{4} \right)^{2}[/tex] (1)

And we expand this polynomial below:

[tex]A = \frac{L^{2}-2\cdot L\cdot x +x^{2}}{16} + \frac{x^{2}}{16}[/tex]

[tex]A = \frac{L^{2}-2\cdot L\cdot x +2\cdot x^{2}}{16}[/tex]

[tex]2\cdot x^{2}-2\cdot L\cdot x +L^{2}-16\cdot A = 0[/tex] (2)

If we know that [tex]L = 76\,cm[/tex] and [tex]A = 205\,cm^{2 }[/tex], then the length of the shorter part of the wire is:

[tex]2\cdot x^{2}-152\cdot x +2496 = 0[/tex]

By the Quadratic Formula, we determine the roots associated with the polynomial:

[tex]x_{1} = 52\,cm[/tex], [tex]x_{2} = 24\,cm[/tex]

The length of the shorter part of the wire corresponds to the second root. Hence, the length of the shorter part of the wire is 24 centimeters.

Answer:

5ft 3in

Step-by-step explanation:

Answer:

A. there are no solutions

Step-by-step explanation:

Answer:

I think it's 90

Step-by-step explanation:

A every minute is 60 secs

60 times 3 = 180

180 divided by 2 =90

Answer: One

Step-by-step explanation: hard

Answer:

See below

Step-by-step explanation:

It is 30°x60° right triangle

It has sides a against 30° angle, √3a against 60° angle and 2a hypotenuse

Answer:

5x

Step-by-step explanation:

If Juan has the same x amount of pencils in each of his five boxes then you would multiply 5 times x to find the total number of pencils he has.

Answer:

for the first picture, she cleans 30 windows

the second picture is 52/100 :)

Answer:

It's B for the first one.

For the second one, it is C

Step-by-step explanation:

30 * 0.3 = 9

So 30% of 30 is 9. She did 9 windows.

0.52 = 52/100

It's 52/100 because 0.52 = 52%. 52% then equals 52/100.

52/100 = 13/25

So the answer is 13/25

Answer:

the solution is (-6, -14 )

Answer: yes there is a solution at (-2,-2)

Step-by-step explanation:

Graph both of the equations and where they cross each other is the solution they cross at (-2,-2)

Answer:

163

Step-by-step explanation:

[tex]4^{2}+6*5^{2}-3^{3}/3^{2}[/tex]

16+6*25-27/9

=163

Answer:

Number of adult tickets sold = 1170

Number of children tickets sold = 85

Step-by-step explanation:

Let,

x be the number of adult tickets sold

y be the number of child tickets sold

According to given statement;

x+y = 1255      Eqn 1

10x+7y=12295    Eqn 2

Multiplying Eqn 1 by 10

10(x+y=1255)

10x+10y=12550      Eqn 3

Subtracting Eqn 2 from Eqn 3

(10x+10y)-(10x+7y) = 12550 - 12295

10x+10y-10x-7y= 255

3y = 255

Dividing both sides by 3

[tex]\frac{3y}{3}=\frac{255}{3}\\y=85[/tex]

Putting y=85 in Eqn 1

x+85 = 1255

x = 1255-85

x = 1170

Hence,

Number of adult tickets sold = 1170

Number of children tickets sold = 85

Answer:

The answer is below

Step-by-step explanation:

The line segment addition postulate states that for a line segment AC, another point B lies on AC if the below equation is satisfied:

AB + BC = BC

a) From the question, since point B and C lies on AD, then:

AD= AB + BC + CD

Substituting:

28 = (x) + (x + 5) + (2x - 1)

collecting like terms:

x + x + 2x + 5 - 1 = 28

Simplifying:

4x + 4 = 28

b) Simplifying the equation:

4x + 4 = 28

subtract 4 from both sides:

4x + 4 - 4 = 28 - 4

4x = 24

Divide through by 4:

4x / 4 = 24 / 4

x = 6

c) Also, BD = BC + CD

Hence:

BD = (x  + 5) + (2x - 1)

x + 2x + 5 - 1 = BD

3x + 4 = BD

substitute value of x:

3(6) + 4 = BD

18 + 4 = BD

BD = 22

Answer:

Disagree

Step-by-step explanation:

disagree. dividing by 9 is the same as multiplying by 1/9. we can look at the equation y = x/9 as y = 1/9x. also, y/x = 1/9 is constant for all corresponding values of x and y

Answer:

y=2x+3

Step-by-step explanation:

Answer:

The answer for this question ( ur exit ticket ) is C .

Answer:

C

Step-by-step explanation:

  We're told that for Sylvia to make a pink paint, he needs to mix 7 cups of white paint to every 3 cups of white paint.

Looking at the options , the correct one is C because it shows that the number of pink paints made.

For instance, if we're to make 1 pink paint , we'll need 7 of white paint and  3 cups of red paint.

If we're to make 2 pink paints, we'll need 14 cups of white paint and 6 cups of red paint

if we're to make 3 pink paints, we'll need 21 cups of white paint and 9 cups of red paint and so forth

PLEASE MARK ME AS BRAINLIEST

Answer:

The values of [tex]x[/tex] so that [tex]y = \csc x[/tex] have vertical asymptotes are [tex]-2\pi[/tex], [tex]-\pi[/tex], [tex]0[/tex], [tex]\pi[/tex], [tex]2\pi[/tex].

Step-by-step explanation:

The function cosecant is the reciprocal of the function sine and vertical asymptotes are located at values of [tex]x[/tex] so that function cosecant becomes undefined, that is, when function sine is zero, whose periodicity is [tex]\pi[/tex]. Then, the  vertical asymptotes associated with function cosecant are located in the values of [tex]x[/tex] of the form:

[tex]x = 0\pm \pi\cdot i[/tex], [tex]\forall \,i\in \mathbb{N}_{O}[/tex]

In other words, the values of [tex]x[/tex] so that [tex]y = \csc x[/tex] have vertical asymptotes are [tex]-2\pi[/tex], [tex]-\pi[/tex], [tex]0[/tex], [tex]\pi[/tex], [tex]2\pi[/tex].

Answer:

The initial cost of the cell phone was $364

Step-by-step explanation:

Since there was a 30% markup, 70% of the new cost is the initial cost. Multiply 520 by 0.7 on a calculator and you get 364