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3 years ago

which answer is correct? Please and thank you!

Mathematics

1 answer:

Aleks [24]3 years ago

8 0

Answer:

third option

(-3,3)

Step-by-step explanation:

plz mark me as brainlist

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Two cars start out together from the same place. they travel in opposite directions, with one of them traveling 5 miles per hou

Mashutka [201]

<u>Annotation</u>
General formula for distance-time-velocity relationship is as following
d = v × t
The velocity of the first car will be v₁, the time is 2 hours, the distance will be d₁.
The velocity of the second car will be v₂, the time is 2 hours, the distance will be d₂.

One of them traveling 5 miles per hour faster than the others. That means the velocity of the first car is 5 miles per hour more than the velocity of the second car.
v₁ = v₂ + 5 (first equation)

The distance of the two cars after two hours will be 262 miles apart. Because they go to opposite direction, we could write it as below.
d₁ + d₂ = 262 (second equation)

Plug the d-v-t relationship to the second equation
d₁ + d₂ = 262
v₁ × t + v₂ × t = 262
v₁ × 2 + v₂ × 2 = 262
2v₁ + 2v₂ = 262

Plug the v₁ as (v₂+5) from the first equation
2v₁ + 2v₂ = 262
2(v₂ + 5) + 2v₂ = 262
2v₂ + 10 + 2v₂ = 262
4v₂ + 10 = 262
4v₂ = 252
v₂ = 252/4
v₂ = 63
The second car is 63 mph fast.

Find the velocity of the first car, use the first equation
v₁ = v₂ + 5
v₁ = 63 + 5
v₁ = 68
The first car is 68 mph fast.

Answer
$\boxed{\boxed{ v_{1}=68mph} }$
$\boxed{\boxed{ v_{2}=63mph} }$

7 0

3 years ago

The vertex of this parabola is at (2, -4). When the y-value is -1, the x-value is 3. What is the coefficient of the squared term

rjkz [21]

Answer:

Step-by-step explanation:

The equation of a parabola in vertex form is

y = a(x - h)² + k

where (h, k) are the coordinates of the vertex and a is a multiplier

Here (h, k) = (2, - 4) , thus

y = a(x - 2)² - 4

To find a substitute (3, - 1 ) into the equation

- 1 = a(3 - 2)² - 4 ( add 4 to both sides )

3 = a

Thus

y = 3(x - 2)2 - 4 ← equation in vertex form

= 3(x² - 4x + 4) + 4

= 3x² - 12x + 12 + 4

= 3x² - 12x + 16 ← equation in standard form

with coefficient of x² term = 3

5 0

3 years ago

A macaroni and cheese recipe calls for 2/5 of a 2 1/2 pound a block of cheese. How many pounds are needed?

Helga [31]

2/5 of 2.5. = 2x2.5 / 5x1 = 5/5 = 1 pound

8 0

2 years ago

What is 762 rounded to the nearest 100

lozanna [386]

762 rounded to the nearest hundred is 800 hundred

remember this rule: five or above give it a shove four or less give it a rest

6 0

3 years ago

Graph the linear inequality. 3x-y<6

Sphinxa [80]

Answer:

Step-by-step explanation:

3 x - y < 6

dividing whole equation by 6 equation comes out to be

$\frac{3x}{6}-\frac{y}{6}$

$\frac{x}{2}+\frac{y}{-6}$

from the above equation we can clearly see that the x and y co-ordinate

x co-ordinate will be (2,0) where y coordinate will be(0,-6)

and the plot is given in the attachment given below.

where as the shaded portion gives the desired region.

6 0

2 years ago

￼which answer is correct? Please and thank you!

which answer is correct? Please and thank you!