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3 years ago

Y = 0.115x + 0.0045 , y = 0.499x – 0.22 solve for x

Mathematics

1 answer:

enyata [817]3 years ago

6 0

Answer:

x=0.5612

Step-by-step explanation:

-Given the functions:

$y=0.115x+0.0045\ \ \ \ ...i\\\\y=0.499x-0.22\ \ \ \ \ ...ii$

We subtract equation i from ii to eliminate y and solve for x:

$ii-i\\\\0=0.384x-0.2155\\\\0.384x=0.2155\\\\x=0.5612$

Hence, the value of x is 0.5612

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Find the area of the regular polygon. Round to the nearest tenth.

JulsSmile [24]

Answer:

$110.9\ ft^{2}$

Step-by-step explanation:

we know that

If the triangle of the figure is a regular polygon

then

Is an equilateral triangle

Remember that

The equilateral triangle has three equal sides and three equal interior angles

The measure of each interior angle is 60 degrees

To find the area of the equilateral triangle apply the law of sines

$A=\frac{1}{2} b^{2}sin(60\°)$

we have that

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3 years ago

Marla did 65 sit ups each day for 1 week. Use the distributive property to show an expression u can use to find the total number

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3 years ago

The following graph represents the cost and revenue functions for custom made computers. How many computers have been sold at th

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3 years ago

Read 2 more answers

7b + 3 – 4b = 3 – 3(b + 4)

svlad2 [7]

Hello from MrBillDoesMath!

Answer: b

Discussion:

7b + 3 - 4b = 3 - 3(b+4) =>

7b + 3 - 4b = 3 - 3b -12 =>

(7b - 4b) + 3 = -3b - 9 =>

3b + 3 = -3b -9 => Add 9 to both sides

3b + 12 = -3b -9 + 9 =>

3b + 12 = -3b => ( add 3b to both sides)

6b + 12 = 0 => (subtract 12 from both sides)

6b = -12 =>

b = -12/6 = -2

Thank you,

MrB

7 0

3 years ago

Find the equation of the line that passes through the following two points: (3, -7) and (7, 2)

Wittaler [7]

Answer:

$y=\frac{9}{4}x-\frac{55}{4}$

Step-by-step explanation:

Slope-intercept form: y = mx + b

Slope formula: $\frac{y2-y1}{x2-x1}$

Given points: (3, -7), (7, 2)

(3, -7) = (x1, y1)

(7, 2) = (x2, y2)

To write the equation in slope-intercept form, we need to find the slope(m) and the y-intercept(b) of the equation.

First, let's find the slope. To do this, input the given points into the slope formula:

$\frac{2-(-7)}{7-3}$

Simplify:

2 - (-7) = 2 + 7 = 9

7 - 3 = 4

$\frac{9}{4}$

The slope is $\frac{9}{4}$ .

To find the y-intercept, input the slope and one of the given points(in this example I'll use point (7, 2)) into the equation and solve for b:

$2=\frac{9}{4}(7)+b$

$2=\frac{63}{4}+b$

$-\frac{55}{4} =b$

The y-intercept is $-\frac{55}{4}$ .

Now that we know the slope and the y-intercept, we can write the equation:

$y=\frac{9}{4}x-\frac{55}{4}$

6 0

3 years ago