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3 years ago

What is the answer to y=2x+3 and y=3x+5

Mathematics

2 answers:

Studentka2010 [4]3 years ago

4 0

y=2x+3

y=3x+5

so y=y

then. 2x+3=3x+5

3-5= 3x-2x

-2= X

x=-2

Alla [95]3 years ago

3 0

Answer:

(-2,-1)

Step-by-step explanation:

y=2x+3

y=3x+5

so y=y

then:

2x+3=3x+5

3-5= 3x-2x

-2= X

x=-2

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A car travels at a constant speed of 60 miles per hour. The distance, d, the car travels in miles is a function of time, t, in h

scZoUnD [109]

The equation of distance traveled by the car is d(t) = 60 · t, for t ≥ 0.

<h3>What is the equation of the distance travelled by a car?</h3>

In accordance with the statement, car travels in a <em>straight</em> line at <em>constant</em> speed. The distance traveled (d), in miles, is equal to the product of the speed (v), in miles per hour, and time (t), in hours:

d(t) = v · t (1)

If we know that v = 60 mi/h, then the equation of distance traveled by the car is d(t) = 60 · t, for t ≥ 0.

<h3>Remark</h3>

The statement is incomplete and complete form cannot be found. Then, we decided to complete the statement by asking for the equation that describes the distance of the car.

To learn more on linear equations: brainly.com/question/11897796

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1 year ago

What is the difference of the rational expressions below?<br> X+5/x^2-2/5x

Leviafan [203]

Answer:

$\large\boxed{\dfrac{x+5}{x^2}-\dfrac{2}{5x}=\dfrac{3x+25}{5x^2}}$

Step-by-step explanation:

$\dfrac{x+5}{x^2}-\dfrac{2}{5x}=\dfrac{5(x+5)}{5x^2}-\dfrac{2x}{5x^2}\qquad\text{use the distributive property}\\\\=\dfrac{5x+25}{5x^2}-\dfrac{2x}{5x^2}=\dfrac{5x+25-2x}{5x^2}=\dfrac{3x+25}{5x^2}$

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3 years ago

The local appliance store is offering 15% off an entire purchase of $2,000 or more; or 30% off a single

Vikki [24]

Answer:

The offer of 30% off a single item of $ 1000 or more will save most money on these appliances .

Step-by-step explanation:

Given as :

The purchase price = $ 2000

The offering discount = 15 %

Let The price of item after discount = x

So , x = ( $ 2000 ) - ( $ 2000 × 15 % )

Or, x = ( $ 2000 ) - ( $ 2000 × 0.15 )

Or, x = ( $ 2000 ) - ( $ 300 )

∴ x = $ 1700

Now, Again

The purchase price = $ 1000

The offering discount = 30 %

Let The price of item after discount = y

So , y = ( $ 1000 ) - ( $ 1000 × 30 % )

Or, y = ( $ 1000 ) - ( $ 1000 × 0.3 )

Or, y = ( $ 1000 ) - ( $ 300 )

∴ y = $ 700

Now, If we purchase two item at the cost price of $ 700 each , then it will cost as $ 700 × 2 = $ 1400

And for the same number of items at the cost price is $ 1700 after 15 % discount on list price of $ 2000 , So the second offer will save most .

Hence The offer of 30% off a single item of $ 1000 or more will save most money on these appliances . Answer

5 0

3 years ago

Confirm that f and g are inverses by showing that f(g(x)) = x and g(f(x)) = x. (5 points)

horsena [70]

Answer:

f(g(x)) = g(f(x)) = x and f and g are the inverses of each other.

Step-by-step explanation:

Here, the given functions are:

$f(x) = x^2 - 3, g(x) = \sqrt{({3+x)} }$

To Show: f (g(x)) = g (f (x))

(1) f (g(x))

Here, by the composite function:

$f (g(x)) = f (\sqrt{3+x} ) = \sqrt{(3+x)} ^2 - 3 = (3 + x) - 3 = x$

⇒ f (g(x)) = x

(2) g (f(x))

Here, by the composite function:

$g(f(x)) = g(x^2 -3) = \sqrt{3 +(x^2 -3) } = \sqrt{x^2} = x$

⇒ g (f(x)) = x

Hence, f(g(x)) = g(f(x)) = x

⇒ f and g are the inverses of each other.

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2 years ago

On a coordinate plane, triangle D E F has points (negative 8, 8), (10, negative 2), and (negative 8, negative 8).

AysviL [449]

The area of the triangle DEF is approximately equal to 144.014 square units.

<h3>How to find the area of a triangle by Heron's formula</h3>

Triangles can be generated on a <em>Cartesian</em> plane by marking three <em>non-colinear</em> points on there. Heron's formula offers the possibility of calculating the area of a triangle by only using the lengths of its three sides, whose formula is now introduced:

A = √ [s · (s - DE) · (s - EF) · (s - DF)] (1)

s = (DE + EF + DF) / 2 (2)

Where s is the semiperimeter of the triangle.

First, we determine the lengths of the sides DE, EF and DF by Pythagorean theorem:

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DE = √ [[10 - (- 8)]² + (- 2 - 8)²]

DE ≈ 20.591

Side EF

EF = √ [(- 8 - 10)² + [- 8 - (- 2)]²]

EF ≈ 18.974

Side DF

DF = √[[- 8 - (- 8)]² + (- 8 - 8)²]

DF = 16

Then, the area of the triangle DEF is by Heron's formula:

s = (16 + 18.974 + 20.591) / 2

s = 27.783

A = √[27.783 · (27.783 - 20.591) · (27.783 - 18.974) · (27.783 - 16)]

A ≈ 144.014

The area of the triangle DEF is approximately equal to 144.014 square units.

To learn more on Heron's formula: brainly.com/question/15188806

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4 0

1 year ago

Read 2 more answers