A system of linear equations has been graphed in the diagram. Determine a reasonable solution for the system of
equations.

[tex]\huge\text{Hey there!}[/tex]

[tex]\mathsf{8x+6=5x+30}[/tex]

[tex]\large\textsf{SUBTRACT 5x to BOTH SIDES}[/tex]

[tex]\mathsf{8x+6-5x=5x+30-5x}[/tex]

[tex]\large\text{Simplify above to get your new equation}\uparrow[/tex]

[tex]\rightarrow\mathsf{3x +6=30}[/tex]

[tex]\large\textsf{SUBTRACT 6 to BOTH SIDES}[/tex]

[tex]\mathsf{3x +6-6=30-6}[/tex]

[tex]\large\text{CANCEL out: \textsf{6 - 6} because that gives you 0}[/tex]

[tex]\large\text{KEEP: \textsf{30 - 6} because it helps you solve for your x value.}[/tex]

[tex]\mathsf{30-6=\bf 24}[/tex]

[tex]\large\text{New EQUATION: \textsf{3x = 24}}[/tex]

[tex]\mathsf{3x = 24}[/tex]

[tex]\large\textsf{DIVIDE 3 to BOTH SIDES}[/tex]

[tex]\mathsf{\dfrac{3x}{3}=\dfrac{24}{3}}[/tex]

[tex]\large\text{CANCEL out: }\mathsf{\dfrac{3}{3}}\large\text{ because it gives you 1}[/tex]

[tex]\large\text{KEEP: }\mathsf{\dfrac{24}{3}}\large\text{ because it helps solve for x}[/tex]

[tex]\large\text{New EQUATION: }\mathsf{\dfrac{24}{3}=x}[/tex]

[tex]\mathsf{\dfrac{24}{3}=24\div3=\bf 8}[/tex]

[tex]\boxed{\boxed{\large\textsf{Answer: \huge \bf x = 8}}}\huge\checkmark[/tex]

[tex]\text{Good luck on your assignment and enjoy your day!}[/tex]

~[tex]\frak{Amphitrite1040:)}[/tex]

Answer:

10

Step-by-step explanation:

Answer:

10

Step-by-step explanation:

The angles within the shape will add to 360 degrees. So:

102+100+92+5x+16=360

5x+310=360

5x=50

x=10

(1) Repetition allowed : There are 4 choices for both positions, so 4 × 4 = 16 2-digit numbers can be formed. (2) Repetition not allowed : There are 4 options for tens position, and three options for ones position. Therefore, 4 × 3 = 12 2-digit numbers can be formed.

Answer:

The median of the data is 3.5

if sue buy the desk, $9 money will be left over.

Answer:

I d k sorry just here for the point heh

Answer:

Following are the solution to the question:

Step-by-step explanation:

[tex]p = 0.43\\\\n = 243\\\\\sigma =\sqrt{\frac{p(1-p)}{n}}=\sqrt{\frac{0.43 (1 -0.43)}{243}}=0.0013[/tex]

z-score for [tex]\hat{p}=0.2[/tex] will be:

z score for will be:

[tex]z=\frac{\hat{p}-p}{\sigma}=\frac{0.39 - 0.43}{0.0013}=-30.76[/tex]

[tex]P(0.2 <\hat{p}< 0.39) = P(-176.92 < z < -30.76)[/tex] using excel method to calculate the value.

Answer:

-3/1

Step-by-step explanation:

Answer:

1 : root(3)

root(3) : 3

3 : 3root(3)

or

B, F, D

Step-by-step explanation:

Answer:

A. $32, 890

Step-by-step explanation:

add 840+200= 1040

33400+1040= 34440

34440 - (1450+100)=

32,890

Answer:

62.12

Step-by-step explanation:

Answer:

Step-by-step explanation:

Ito po hehe

Answer:

y = (x+1)^2+5

Step-by-step explanation:

Add or subtract from both sides to complete the square;

y=x^2+2x+6; Subtract 5 from both sides

y-5 = x^2+2x+1; Factor;

y - 5 = (x+1)^2; Add 5 back to both sides;

y = (x+1)^2+5

Answer:

y=(x+1)²+5

Step-by-step explanation:

y=x^2+2x+6

a=1; b=2;c=6

subtract 6 from both sides: x^2+2x= -6

complete the square by using the equation (b/2)^2 and add to both sides: x^2+2x+1=-6+1

simplify: x^2+2x+1=-5

find the factors of 1 that add up to 2: 1 and 1

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

add 5 to both sides and simplify

y=(x+1)^2+5

Answer:

g(x) = 3*sin((-15/4)*pi*x + (-15/4)*pi) + 6

Step-by-step explanation:

The function has the form:

g(x) = a*sin(b*x + c) + d

We know that:

The midline is at (-1, 6)

The midline is the value of g(x) when the sin(x) part is equal to zero

Then the midline is y = 6 = d

g(x) = a*sin(b*x + c) + 6

And from this we also know that:

sin(b*-1 + c) = 0,

We also know that the minimum is at (-3.5, 3)

The minimum is the y-value when the sin(x) part is equal to -1

Then

sin(b*-3.5 + c) = -1

And:

g(-3.5) = 3 = a*(-1) + 6

3 = -a + 6

a = -3 + 6 = 3

The equation is something like:

g(x) = 3*sin(b*x + c) + 6

To find the values of b and c, we need to use the two remaining equations:

sin(b*-3.5 + c) = -1

sin(b*-1 + c) = 0

We also know that:

Sin(0 ) = 0

sin( (3/2)*pi) = -1

where pi = 3.14

Then we can just write:

b*-1 + c = 0

b*-3.5 + c = (3/2)*pi

From the first one, we get:

-b + c = 0

c = b

Replacing that on the other equation we get:

c*-3.5 + c = (3/2)*pi

c*(-3.5 + 1) = (3/2)*pi

c*(-2.5) = (3/2)*pi

c = (3/2)*pi/(-2.5)

and:

-2.5 = -5/2

c = (3/2)*(-5/2)*pi = (-15/4)*pi

Then the equation becomes:

g(x) = 3*sin((-15/4)*pi*x + (-15/4)*pi) + 6

The  trigonometric function equation becomes [tex]g(x)=3 sin(-1.88x-1.88)+6[/tex]

The function has the form:

             [tex]g(x)=a sin(bx+c)+d[/tex]

The midline is at (-1, 6)

So, the midline is y = 6 = d

[tex]g(x)=a sin(bx+c)+6[/tex]

We know that the midline is the value of g(x) when the sin(x) part is equal to zero

Given that The function intersects its midline at (-1,6) and has a minimum point at (-3.5,3).

[tex]sin(-1*b + c) = 0,[/tex]

The minimum is the y-value when the sin(x) part is equal to -1

       [tex]sin(-3.5*b + c) = -1[/tex]

  Since,   [tex]g(-3.5) = 3 = a*(-1) + 6[/tex]

                 [tex]a = -3 + 6 = 3[/tex]

Now equation become,

            [tex]g(x) = 3*sin(b*x + c) + 6[/tex]

To find the values of b and c, we need to use the two remaining equations:

             [tex]sin(-3.5b + c) = -1=sin( (3/2)* \pi)\\\\ -3.5b + c = (3/2)* \pi[/tex]

            [tex]sin(-1b + c) = 0=sin(0)\\\\-b+c=0\\\\b=c[/tex]

Substituting b = c in above equation and [tex]\pi=3.14[/tex]

We get,

            [tex]-3.5c + c = (3/2)*\pi\\\\-2.5c=4.71\\\\c=-1.88[/tex]

also    [tex]b=-1.88[/tex]

Therefore, equation becomes [tex]g(x)=3 sin(-1.88x-1.88)+6[/tex]

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Answer:

Because people fight over the best deals that the store would have to offer... hell with it i chose violence when there were 3 black shirts just because i run a designer company.

Step-by-step explanation:

Answer:

x = 40

Step-by-step explanation:

Base angles of isosceles triangle are congruent

angle c = 70

angle b = 70

70+70+x = 180

solve for x

Answer:

B) Adolescents who are similar in age to you

Step-by-step explanation:

Answer:

b. adolescents who are similar in age to you.

Answer:

I think it should be 1 hour ~~ (Not so sure)

Step-by-step explanation:

The 35 batteries are the conductors we need to stay alive and make things work.

We have given that,

If Mary bought 12 of the Brand X batteries.

We have to determine how many of them lasted less than 15 hours.

The data models are visual representations of an enterprise's data elements and the connections between them. By helping to define and structure data in the context of relevant business processes, models support the development of effective information systems.

The batteries are the conductors we need to stay alive and make things work.

Therefore from the graph, we have the answer is 35 batteries.

The 35 batteries are the conductors we need to stay alive and make things work.

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Answer:

10

Step-by-step explanation:

8 to the second power is 64

6 to the second power is 36

36+64=100

the square root of 100 is 10

so 10 is the length of the hypotenuse

Hope this helps!

Answer:

yes it is if we can write decimal numbers in the form of a fraction then it is a rational number

Answer:

14yd^2

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

In The rest of the problems, you add or subtract first.