Solve the system of equations using substitution?

Y=3x+1
Y+2=4x

Step-by-step explanation:

Pythagoras :

c² = a² + b²

c is the Hypotenuse (side opposite of the right angle), which is in our case the distance of the 2 cars.

after 2 hours the east car was driving x miles. and the south car was driving x + 2×25 = x + 50 miles.

x² + (x + 50)² = 250²

x² + x² + 100x + 2,500 = 62,500

2x² + 100x = 60,000

x² + 50x = 30,000

x² + 50x - 30,000 = 0

the solution for a quadratic equation is

x = (-b ± sqrt(b² - 4ac))/(2a)

in our case

a = 1

b = 50

c = -30,000

x = (-50 ± sqrt(2500 - 4×1×-30000))/(2×1) =

= (-50 ± sqrt(2500 + 120000)/2 =

= (-50 ± sqrt(122500))/2 = (-50 ± 350)/2 =

= -25 ± 175

x1 = -25 + 175 = 150 miles

x2 = -25 - 175 = -200 miles.

negative distances don't make any sense here in our scenario, so the solution is x = 150 miles.

therefore, the east car was going 75 mph (traveled in 2 hours 150 miles).

and the south car was going 75 + 25 = 100 mph (traveled in 2 hours 200 miles).

Answer:

1 golf ball : $2.50

Step-by-step explanation:

[tex]-2(8x-4)<2x+5\\\\\implies -16x+8<2x+5\\\\\implies -16x+8-5<2x\\\\\implies 3<2x+16x\\\\\implies 3<18x\\\\\implies \dfrac3{18} <x\\\\\implies \dfrac 16 <x\\\\\implies x> \dfrac 16[/tex]

Step-by-step explanation:

1.Find the sample size, n, and the sample proportion. The sample proportion ρ is the number in the sample with the characteristic of interest, divided by n.

2. Multiply the sample proportion by 1 - ρ.

3. Divide the result by n.

4. Take the square root of the calculated value.  You now have the standard error

Answer:

42.29 READ THE EXPLANATION

Step-by-step explanation:

i am guessing you mean the cost for 1 pound is 7.98 and he is getting 5.3 but if different do the steps, all you have to do is mutiple the unit rate (7.98) by how many pounds bought(5.3)

Answer: i took the test its number 555555

Step-by-step explanation:

answer

2.5

Step-by-step explanation:

that is what I got so

Answer:

x=-9, y=-6. (-9, -6).

Step-by-step explanation:

4x-5y=-6

-6x+7y=12

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

6(4x-5y)=6(-6)

4(-6x+7y)=4(12)

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

24x-30y=-36

-24x+28y=48

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

-2y=12

y=12/-2

y=-6

4x-5(-6)=-6

4x+30=-6

4x=-6-30

4x=-36

x=-36/4

x=-9

Answer:

x=-2

Step-by-step explanation:

−8x−10=4x+14

-8x-4x=14+10

-12x=24

[tex]\frac{-12x}{-12} = \frac{24}{-12}[/tex]

x = -2

Answer:

  3052.1 in³

Step-by-step explanation:

The volume of a sphere is given by the formula ...

  V = 4/3πr³ . . . . r is the radius

The radius is half the diameter, so is 9 in. Then the volume is ...

  V = (4/3)(3.14)(9 in)³ = 972(3.14) in³ ≈ 3052.1 in³

Answer:

g=-3repeated

Step-by-step explanation:

Step-by-step explanation:

honestly kinda stumped so ima give you the best copy and pasted answer ever

A:

Isolate the variable by dividing each side by factors that don't contain the variable. y = x/3 − 4/3

and also x=7 y=1

HOPE I HELPED, SORRY IF I GOT IT WRONG <3

the answer to your question is B.) 12x

Answer:

$720

Step-by-step explanation:

I (Interest) = P (principal) x R (rate) x T (time, in years)

I = 8000 x .03 x 3

I = 720

Answer:

11 passengers per minute.

Step-by-step explanation:

To find how many passengers board the boat in a minute, you'd have to divide 88 with 8.

88/8 = 11

To check:

11 passengers per min x 8 mins = 88 passengers.

Answer: Answer C

Step-by-step explanation:

Only y=x-2 passes through both points as it starts pretty low and rises to the right through both points B and C

The answer is A. y= -2x + 1

Answer:

b. 4(x^2 - x - 6)

c. 4(x - 3)(x + 2)

e. (4x - 12)(x +2)

f. (x - 3)(4x + 8)

hope it helps :)

mark brainliest!!

[tex]x+ y =15~~...(i)\\\\x-y = 5~~...(ii)\\\\\text{(i) +(ii):}\\\\x+y+x-y = 15+5\\\\\implies 2x = 20\\\\\implies x = \dfrac{20} 2 = 10\\\\\text{(i)-(ii):}\\\\x+y -x +y = 15 -5\\\\\implies 2y = 10\\\\\implies y=\dfrac{10}2 = 5\\\\\text{Hence the numbers are 10 and 5}[/tex]

[tex]m \cdot n = \sqrt{m^2 -n^2}\\\\\text{When m =5 and n =3,}\\\\\\5\cdot 3 = \sqrt{5^2 -3^2} =\sqrt{25 -9} = \sqrt{16} = 4[/tex]

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

[tex]\huge\textbf{Assuming:}[/tex]

[tex]\mathbf{m\times n = \sqrt{(m^2 - n^2)}}[/tex]

[tex]\huge\textbf{Solving:}[/tex]

[tex]\mathbf{\rightarrow 5\times 3 = \sqrt{(5^2 - 3^2)}}[/tex]

[tex]\mathbf{\rightarrow 15 = \sqrt{(5\times5 - 3\times3)}}[/tex]

[tex]\mathbf{\rightarrow 15 = \sqrt{(25 - 9)}}[/tex]

[tex]\mathbf{\rightarrow 15 = \sqrt{16}}[/tex]

[tex]\mathbf{15\neq4}[/tex]

[tex]\huge\textbf{Thus, this answer should be:}[/tex]

[tex]\huge\boxed{\boxed{\textsf{This statement is most likely: \boxed{\textsf{FALSE}}}}}\huge\checkmark[/tex]

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

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

Answer:

A(0,3)

Step-by-step explanation:

the line crosses y-axis so its x-coordinates must be zero,

so we subistitute by x=0 in the equation of the line, from this we get y=3

then the coordinates of point A will be (0,3)

Answer:

AJ. x<20

Lyla. x> or equal to70

Rook. x>or equal to 6

River. x<8

I hope that this helped

Answer:

First pic X= 13.036

Second pic x= 11.23

Step-by-step explanation:

51 Books

I think this is what you're looking for?

A.

y= -2x + 4 is the answer

Answer: Answer A

Step-by-step explanation:

Since the y-intercept is 4 and the graph is rising to the left meaning there is a negative slope, the answer is A

Answer:

How much it cost!? Will it fly?! How far will it fly?!

Step-by-step explanation:

Answer:

-6x -6= 10

Step-by-step explanation:

-2(x +3) -4x= 10

Expand:

-2(x) -2(3) -4x= 10

-2x -6 -4x= 10

Simplify:

-6x -6= 10

Thus, the second option is correct.

Answer:

C.

Step-by-step explanation:

7,3, 2, 1, 13, 8, 1, 5, 14, 11, 15

Write them in ascending order:

1, 1, 2, 3, 5, 7, 8, 11, 13, 14, 15.

The mean = sum of the numbers / 11

= 80/77

= 7.3.

The median = the middle number

= 7.

The mode = the number which occurs most

= 1.