Francis graphs the system of equations to determine its solution.


3x+2y=12
3x−y=3


What is the correct solution?


Enter your answer by filling in the boxes.

Answer:

D. 10 3/8

Step-by-step explanation:

First make them into a improper fraction

[tex]\frac{29}{8} +\frac{27}{4}[/tex]

Find the lowest common denominator:

[tex]\frac{29}{8} +\frac{27*2}{4*2}[/tex]

Multiply the denominators:

[tex]\frac{29}{8} +\frac{27*2}{8}[/tex]

Multiply the numerators:

[tex]\frac{29}{8} +\frac{54}{8}[/tex]

Combine the fractions:

[tex]\frac{(29+54)}{8}[/tex]

Combine the numerators:

[tex]\frac{83}{8}[/tex]

=

[tex]10\frac{3}{8}[/tex]

Hence, D. 10 3/8 is the Correct answer.

Answer:

Line is y = -3x + 3

Slope = -3

y-intercept = 3

Step-by-step explanation:

Slope is the movement up or down, and left or right. Y-intercept is the point in which the line crosses the y-axis. In slope-intercept form (y=mx+b), m represents the slope, while b represents the y-intercept.

So since the line crosses the y-axis at positive 3, that will be the y-intercept. Now if we go from that very same point, and do rise/run, we'd move downwards 3 units and to the right 1 unit, to get our slope of -3/1 (it's written as just -3 though).

So now we plug it in: y = -3x + 3

Hope this helps you :)

Answer:

(y-0)=2/5(x-0)

Answer:

-3/5

Step-by-step explanation:

Answer:

see below

Step-by-step explanation:

y=mx+b: slope and intercept

ax+by/c: standard

(x-x1)*m=y-y1: point slope

Answer:   -4.1 degrees celsius

Step-by-step explanation:

Start at -1.5 on the number line. Then move 2.6 units to the left to arrive at -4.1

Or you can compute -1.5 - 2.6 = -4.1 to get the same result. When we subtract a number from a negative, you are effectively adding the two values and making the final result negative. So, 1.5+2.6 = 4.1 which turns into -4.1

Answer:

I can't see the last answer choice.

9/LM = 6/4.5

Step-by-step explanation:

9cm is to 6cm as LM is to 4.5cm

9/6 = LM/4.5

Rewriting:  9/LM = 6/4.5

Answer:

  y = K/(16z)

Step-by-step explanation:

  [tex]K=16yz\qquad\text{given}\\\\\boxed{y=\dfrac{K}{16z}}\qquad\text{divide by the coefficient of y}[/tex]

a.9v3-4v3+v5+2v5

=5v3+v3+2v5

=5v3+3v5

b.10v2+4v2+6v2

=4v2+4v7

Answer:

  1/10

Step-by-step explanation:

The fraction 3/5 can be rewritten as one that has 10 as its denominator.

  [tex]\dfrac{7}{10}+\left(-\dfrac{3}{5}\right)=\dfrac{7}{10}-\dfrac{6}{10}=\dfrac{7-6}{10}=\boxed{\dfrac{1}{10}}[/tex]

Answer:

1. Solving for x. Want to solve for y instead?

1 Subtract yy from both sides.

4x=11-y

4x=11−y

2 Divide both sides by 44.

x=\frac{11-y}{4}

x=

4

11−y

Answer:

your answer is, -x+5

Step-by-step explanation:

Answer:

x - 5y - 6

Step-by-step explanation:

- 6 + 4y - ( - x + 9y) ← distribute parenthesis by - 1

= - 6 + 4y + x - 9y ← collect like terms

= x - 5y - 6

Answer:

(7, -1) maybe...

Answer:

y - 3 = -12(x - 5)

Step-by-step explanation:

This is what point slope form looks like:

y - y1 = m(x - x1)

(5, 3) is our known point, represented as (x1, y1).

Now, just plug in the given slope and point into the equation:

y - 3 = -12(x - 5)

Answer:

the formula for finding the perimeter of a rectangle is P=2L+2W

an example of how to find the perimeter is

Explanation:

For a rectangle, its perimeter is the sum of all for sides.

The rectangle has a perimeter of 54. Find the lengths of the unknown side. That is, find S.

54=20+20+S+S

Simplify

54=40+2S

Solve for S

14=2S

S=7

Step-by-step explanation:

Answer:

I don't understand the question but I think the answer is either 10 or 30

~one variable linear equation

==================

10x - 7 = 4x + 5

= 10x - 7 - 4x = 5

= 10x - 4x = 5 + 7

= 6x = 5 + 7

= 6x = 12

= x = 12 ÷ 6

= x = 2 ✔️

~ nice to help you ^^

Answer:

c (I think it is c, but I am not a 100% sure)

Step-by-step explanation:

x and y have to be same

Have a nice day! :-)

Answer:

  a.  ∞, -∞

Step-by-step explanation:

The line has negative slope, so the sign of the end value of y will be the opposite of the sign of the end value of x.

  x → -∞,  y → ∞ . . . . . off the top of the graph as x goes to the left

  x → ∞, y → -∞ . . . . . . off the bottom of the graph as x goes to the right

The end behavior is summarized as ...

  ∞, -∞ . . . . . matches choice A

Answer: Choice D.  (0,-2)

Note how this point is in the blue region, but it is not in the red region. The solution must satisfy all of the shaded regions of the system of inequalities. The red and blue regions overlap to form the darker shaded region on the right side (the somewhat grayish purple triangular region). Points in this darkest shaded region are solutions to the system. The points (5,2), (0,3) and (4,0) are all located in this region so they are solutions.

Answer:

the height of nick is 1.46

Step-by-step explanation:

because to change cm into m we need to divide it by 100so 18/100is 0.18

and total height of Peter is 1.64 so if we -the 0.18then we can get nick's height

Answer:

1.46

Step-by-step explanation:

1.64 to cm is 164

164-18 = 146

146 to meters is 1.46

Answer:

see below

Step-by-step explanation:

log sqrt5  (25) = y

we know that loga (b) = c  can be rewritten as  a^c = b

sqrt(5) ^ y = 25

Rewriting sqrt(5) as 5^1/2  and 25 as  5^2

5^1/2 ^ y = 5^2

we know a^b^c = a^ (b*c)

5 ^ 1/2y = 5^2

1/2y = 2

y = 4

Answer:

Length=22 cm

Step-by-step explanation:

Perimeter=56 cm

let width=x

According to given condition:

length=4x-2 ...........(A)

Perimeter=2(length+width)

Substitute the values in above formula:

56cm=2(4x-2+x)

56cm=2(5x-2)

56cm=10x-4

(56+4)=10x

60 cm=10x

x=60cm/10

x=6cm

For the value of length :

Substitute the value of x in equation (A):

Length=4x-2

Length=4(6)-2 cm

Length=24-2 cm

Length=22 cm

Answer:

the answer for (9squared divided by 3) - ( 3 x 5 ) = 12

Step-by-step explanation:

(9squared divided by 3) - ( 3 x 5 ) = 12

9x9 = 81

81 ÷ 3 = 27

27 - (3x5)

3 x 5 = 15

27 - 15 = 12

so it goes in the 12 box

4squared - ( 2 x 3 )

4squared = 4 x 4

4 x 4 = 16

16 - (2 x 3)

2 x 3 = 6

16 - 6 = 10

so it goes in the 10 box

Answer:

It must be two

Step-by-step explanation:

Answer:

For the question a i think its b

Step-by-step explanation:

Answer:

X can be any whole or natural number greater than 1 so like 2 could work too but no decimals or fractions or any other irrational numbers such as pi.

Step-by-step explanation:

Hope this works for you. :)

Answer:

Step-by-step explanation:

X greater than or equal to 2 for any positive integer

I hope you have your answer now

Answer:

90

Step-by-step explanation: