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dmitriy555 [2]
3 years ago
8

Subsitution form y=3x 4x+2y=30

Mathematics
1 answer:
olga2289 [7]3 years ago
4 0

Answer:

4x+2(3x)=30

4x+6x=30

10x=30

/10. /10

x=3

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Evaluate the expression for the given value of the variable. |b| + b^3 ; b = -2, please show work!
Katen [24]

So b=-2 so you plug b in

l(-2)l + (-2)^3.

The absolute value of -2 is just 2 so now it is

2 + (-2)^3.

-2 * -2 is 4 but 4 * -2 is -8. So 2 + (-8) or 2 - 8 which comes to equal (-6) or negative six.

4 0
3 years ago
Determine the amplitude or period as requested . Amplitude of y = - 1/5 * sin x a - 1/5 1/5 b 5 d. pi/5
Brrunno [24]

Answer:

The amplitude is 1/5

Step-by-step explanation:

Given

y = -\frac{1}{5}\sin(x)

Required

Determine the amplitude

The general cosine function is:

y = A\sin(k(x + c)) +d

Where

Amplitude = |A|

Compare y = A\sin(k(x + c)) +d and y = -\frac{1}{5}\sin(x)

A = -\frac{1}{5}

So:

Amplitude = |-\frac{1}{5}|

Amplitude = \frac{1}{5}

4 0
3 years ago
Please help! Will give brainliest!
const2013 [10]
<h3>1.</h3>

The equation in point-slope form:  y - y₁ = m(x - x₁)

slope:  m = -2

point:   (4, -5)   ⇒   x₁ = 4, y₁ = -5

Therefore, the equation of the line in point-slope form:

<h3>y + 5 = -2(x - 4)</h3>

<h3>2.</h3>

The equation in slope-intercept form:   y = mx + b

Parallel lines has the same slope, so:

y = 4x + 2     ⇒    a = 4

If a line passes through the point <em>(x₁, y₁) </em>then the equation y<em>₁</em> = mx<em>₁</em> + b is true.

(4, 6)  ⇒   x₁ = 4, y₁ = 6  

So:   6 = 4·4 + b  ⇒   b = -10

Therefore the equation:  

<h3>y = 4x - 10</h3>

<h3>3.</h3>

a = 3

(-1, 1)  ⇒   x₁ = -1, y₁ = 1  

So:   1 = 3·(-1) + b  ⇒   b = 4

The equation:  

<h3>y = 3x + 4</h3>

<h3>4. </h3>

The product of slopes of perpendicular lines is -1.

2x - 7y = 1    ⇒  7y = -2x + 1   ⇒  y = -²/₇x + ¹/₇

-²/₇×m = -1    ⇒   m = ⁷/₂

(0, -4)  ⇒   x₁ = 0, y₁ = -4  

-4 = ⁷/₂·0 + b   ⇒   b = -4

The equation:

<h3>y = ⁷/₂x - 4</h3>
8 0
3 years ago
how to solve the question Ms.H and 5 of her friends went out to dinner .The total bill came to $143.40 and they split evenly.The
Anton [14]

So 6 people split 143.40. 143.40/6 = 23.90. Thats how much each person paid for the dinner. Add the 7.50 they paid for the movie and you would get 31.40$ total for each person. If this is right could I possibly have brainliest? Hope this helped!! :)

7 0
3 years ago
Read 2 more answers
A swuare has an area of 108.16m2 work put the perimiter of the square​
nasty-shy [4]

Answer:

41.6 m

Step-by-step explanation:

The area (A) of a square is calculated as

A = s² ( s is the side length ), then

s² = 108.16 ( take the square root of both sides )

s = \sqrt{108.16} = 10.4

Then

perimeter = 4s = 4 × 10.4 = 41.6 m

5 0
2 years ago
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