18. Which ordered pair is a solution of the system of linear equations listed below?

2x + y = -5
-x+3y=6
A. (-3, 1)
B. (3, 1)
C. (-3,-1)
D. (-1,3)​

Answer: The number is 1.

Step-by-step explanation:

Let the number be x

5-x = 1+3x

or, 5 = 1+3x+x

or, 5 = 1+4x

or, 5-1 = 4x

or, 4x = 4

or, x = 4/4

so, x = 1

Answer:

a)2x-3y

b)4(9a-4)

Step-by-step explanation:

we want to expand the following expression:

[tex] \displaystyle - \frac{1}{4} ( - 8x + 12y)[/tex]

well to do so we consider distributive property thus distribute:

[tex] \displaystyle - \frac{1}{4} (- 8x )+ - \frac{1}{4}( 12y)[/tex]

reduce fraction which yields:

[tex] \displaystyle - \frac{1}{4} (- 8x )+ - \frac{1}{4}( 12y) \\ \\ \displaystyle 2x + ( - 3y)[/tex]

simplify Parentheses:

[tex] \displaystyle \boxed{ 2x - 3y}[/tex]

in the expression there's a common factor of 4 therefore factor it out:

[tex] \displaystyle 9.4a - 4.4 \\ \\ \displaystyle \boxed{4(9a - 4)}[/tex]

Answer:

Step-by-step explanation:

Use PEDMAS

(3 + 4) - 4/42 + 3(4 +2)/3 = 7 - [tex]\frac{4}{42}[/tex] + 3 * [tex]\frac{6}{3}[/tex]      {Inside parenthesis}

                                        = 7 - [tex]\frac{2}{21}[/tex] + 6     {Division}

                                        = 13 - [tex]\frac{2}{21}[/tex]

                                        [tex]=\frac{13*21}{1*21}-\frac{2}{21}\\\\=\frac{273}{21}-\frac{2}{21}\\\\=\frac{271}{21}[/tex]

Answer:

x-2/3 is the answer.......

Please mark me as Brainliest

Answer:

[see below]

Step-by-step explanation:

"Two-Fifths of a number is 48."

(2/5)n = 48

((2/5n)(5/2) = 48 *(5/2)

n = 120

------------------------------------

120 * (3/4) = 90

Hope this helps you.

Answer:

25

Step-by-step explanation:

To solve this problem, you can use the pythagorean theorem, which is a^2 + b^2 = c^2 where a and b are legs and c is the hypotenuse. We can plug in the values of 15 and 20, and solve for c:

15^2 + 20^2 = c^2

225 + 400 = c^2

625 = c^2

c = 25

This means the hypotenuse is 25.

Answer:

im not completely sure if the question is just asking how many gallons of gas berto is able to buy but if it is than he is able to buy 3.2 gallons of gas

Step-by-step explanation:

just do how much money he has divided by how much gas costs to see how much gas he will be able to buy

Answer: (3.2, 12)

Step-by-step explanation:

Answer:

y=-5cos(pi/8(x+2))-21

Step-by-step explanation:

y=acos(b(x-c))+d

Let's find the max and then the min first. We are aiming to find the amplitude, a, which is the half the distance from the max to the min.

Max is y=-16

Min is y=-26

a=(-16--26)/2=-8--13=5

a could also tell us if y=cos(x) has been reflected about the x-axis if it is -5, which it looks like it has considering cos(0)=1 not -1.

I'm looking at the point (-2,-26) which is the lowest point of our curve and comparing it to our high point of (0,1) on y=cos(x).

So far we have, y=-5cos(b(x-c))+d.

Let's look at d, vertical shift. The average of our max and min is (-26+-16)/2=-13-8=-21.

So our vertical shift is d=-21.

So now equation is y=-5cos(b(x-c))+-21.

Now since we are using (-2,-26) as our (0,1) point on y=cos(x) then c=-2.

So now equation is y=-5cos(b(x--2))+-21

Now we are going to plug in a point haven't mentioned to find b. So looking at graph I will use (6,-16).

-16=-5cos(b(6--2))+-21

Add 21 on both sides:

5=-5cos(b(6--2))

Divide both sides by -5:

-1=cos(b(6--2))

Simplify inside:

-1=cos(b8)

Multiplication is commutative:

-1=cos(8b)

8b=pi * cos(pi)=-1

b=pi/8

The equation is

y=-5cos(pi/8(x--2))+-21

Simplify:

y=-5cos(pi/8(x+2))-21

Step-by-step explanation:

here's the answer to your question

Answer:

[tex]3x + 8 = 5x - 20 \\ 5x - 3x = 12 \\ 2x = 12 \\ x = \frac{12}{2} \\ x = 6[/tex]

Answer:

(x+5)(2x^2 +8)

Multiply (x+5) in both sides

(x+5)(2x^2) × (x+5)(8)

Answer is a

Answer:

d = 8t

Step-by-step explanation:

Answer:

Since this number is small we know that the exponent will be negative.

In scientific notation the decimal must be between the first two NON zero numbers. So move the decimal and count how many positions it was moved.

1.2 x 10 ^-11

Step-by-step explanation:

Answer:

1=C

2=B

3=D

4=A

Step-by-step explanation:

im not sure about 3 and 4 so yeh and sorry for responding late

Answer:

B

Step-by-step explanation:

={(1x4)+(2x3)+(3x4)+(4x7)+(5x2)}÷20

={4+6+12+28+10}÷20

={10+40+10}÷20

={60}÷20

=3

Answer:

100

16

Step-by-step explanation:Base is 6x6 so 36 and side is 6x8/3 so 16 4 sides so 16x4 =64+36=100 for surface area and volume is 16

Answer:

1. 2x^2+6x=0 <--> 2x(x+3)=0

2.4x-x^2=0 <--> x(4-x)=0

3.14x-7x^2=0 <--> 7x(2-x)=0

4.24x-6x^2=0 <--> 6x(4-x)=0

Step-by-step explanation:

just try to expand the answer given for example when you look at no.1, 2x•x=2x^2 so look for the equation where there is a 2x^2 in it.

for finding the solution, for example when you look at no.1 again, you have 2x=0 so x=0/2=0 and you also have x+3=0 so x=-3

this applies to all the pther no.

From A draw AG // BC cuts CD at WO

We have: Trapezoid ABCD (assumption)

⇒ AB // CD

⇒ AB // GC (because G ∈ CD)

Considering quadrilateral ABCG, there are:

AB // GC (proven above)

AG // BC (assumption)

⇒ Quadrilateral ABCG is a parallelogram

⇒ AB = GC = 40 cm

AG = BC = 50 cm

We have: DG = CD - GC (because G ∈ CD)

DG = 80 - 40

⇒  DG = 40(cm)

Considering ΔAGD, there are:

AG2=AD2+DG2AG2=AD2+DG2

502=302+402⇒502=302+402

⇒502=900+1600⇒502=900+1600

502=2500⇒502=2500

⇒502=502⇒502=502

⇒ AGD square at D

⇒ Trapezoid ABCD is a square trapezoid

Answer:

Step-by-step explanation:

Answer:

(a) The amount of ice cream increase as temperature increases

(b)

[tex]y = 2x + 5[/tex] --- equation

[tex]y = 5[/tex] --- y intercept

[tex]m = 2[/tex] --- slope

Step-by-step explanation:

Given

See attachment for graph

Solving (a): The relationship between the variables

From the attached graph, the dots on the graph increases towards up-right direction. This implies that there is a positive correlation between the variables.

In other words;

The amount of ice cream increase as temperature increases

Solving (b): The line of best fit

First, we draw a line through the points (the line should have almost equal points on both sides; see attachment 2).

From (2), we select any 2 points on the line:

[tex](x_1,y_1) = (15,35)[/tex]

[tex](x_2,y_2) = (0,5)[/tex]

The slope (m) is:

[tex]m = \frac{y_2 -y_1}{x_2 - x_1}[/tex]

[tex]m = \frac{5-35}{0-15}[/tex]

[tex]m = \frac{-30}{-15}[/tex]

[tex]m = 2[/tex]

So, the line of best fit is:

[tex]y = m(x - x_1) + y_1[/tex]

Substitute known values:

[tex]y = 2(x - 0) + 5[/tex]

[tex]y = 2(x) + 5[/tex]

[tex]y = 2x + 5[/tex]

The y-intercept is when [tex]x=0[/tex]

So, we have:

[tex]y = 2*0 + 5[/tex]

[tex]y = 0 + 5[/tex]

[tex]y = 5[/tex]

he would have 11 kites in total, hope this helps!

Answer:

the first one 2/-1, hope it helps...

Answer:

D

Step-by-step explanation:

Because the closed dot is connected to the one less than 1, we know that one of the equation is less than or equal to 1. So this eliminates A.

B makes no sense because it shows two equations for when x < 1. So this one can be ruled out immediately.

We also notice the shape of the functions, the one on the bottom looks like a cube, you can make out the beginning of the chair shape.  So the one that is less than or equal to 1 is the cubic function. Which eliminates C.

This leaves D and you can plug in values of x and y to confirm this is correct.

Answer:

Step-by-step explanation: First you look at the left side of the graph. You can tell by the shape that it is an x^3 function. also the filled in circle means inclusive. so we know that when x <= (whatever number). It is impossible to tell for sure with this graph if it is on 1. for the first part. the only answer that has less then or equal to is the last one, D. So the answer is D. You can look at the right side that it is open circle. So we know it is >. So we can see the bottom part of D has that as well

Answer:

z=5

Step-by-step explanation:

answer is that thank

Answer: 20

Step-by-step explanation:

z = 5 ⇔ Given

5z - 5 ⇔ Expression

5 (5) - 5 ⇔ Substitution

25 - 5 ⇔ Multiplication

20 ⇔ Subtraction

Hope this helps!! :)

Please let me know if you have any questions

Answer:

114 in^2

Step-by-step explanation:

umm find the area of all the shapes and add them up...

Answer:

no

Step-by-step explanation:

substitute the x- coordinate 5 into the equation and if the result is equal to the y- coordinate 0 then it is a solution

y = 5 + 5 = 10 ≠ 0

Then (5, 0 ) is not a solution to the equation