Answer
Find out the what is the sale price of the jeans including tax .
To prove
Let us assume that the sale price of the jeans including tax be x .
As given
Michael is buying a pair of jeans that regularly cost $40.
They are on sale for 20% off.
If the tax rate is 8% .
20% is written in the decimal form

= 0.20
8% is written in the decimal form

= 0.08
Than the equation becomes
x = 40 - 40 × 0.20 + 40 × 0.08
x = 40 - 8 + 3.2
x = 43.2 - 8
x = $35.2
Therefore the sale price of the jeans including tax be $ 35.2 .
<h3>Answer is -9</h3>
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Work Shown:
(g°h)(x) is the same as g(h(x))
So, (g°h)(0) = g(h(0))
Effectively h(x) is the input to g(x). Let's first find h(0)
h(x) = x^2+3
h(0) = 0^2+3
h(0) = 3
So g(h(x)) becomes g(h(0)) after we replace x with 0, then it updates to g(3) when we replace h(0) with 3.
Now let's find g(3)
g(x) = -3x
g(3) = -3*3
g(3) = -9
-------
alternatively, you can plug h(x) algebraically into the g(x) function
g(x) = -3x
g( h(x) ) = -3*( h(x) ) ... replace all x terms with h(x)
g( h(x) ) = -3*(x^2 + 3) ... replace h(x) on right side with x^2+3
g( h(x) ) = -3x^2 - 9
Next we can plug in x = 0
g( h(0) ) = -3(0)^2 - 9
g( h(0) ) = -9
we get the same result.
The equation of line perpendicular to x-2y=-16 passing through (9,8) is: y=-2x+26
Step-by-step explanation:
Given

The equation is in slope-intercept form, the coefficient of x will be the slope of given line. The slope is: 1/2
As the product of slopes of two perpendicular lines is -1.

Slope intercept form is:

Putting the value of slope
y=-2x+b
To find the value of b, putting (9,8) in the equation

Putting the values of b and m

Hence,
The equation of line perpendicular to x-2y=-16 passing through (9,8) is: y=-2x+26
Keywords: Equation of line, Slope-intercept form
Learn more about equation of line at:
#LearnwithBrainly
Answer:
(- 3, 37) and (-
,
)
Step-by-step explanation:
Given the 2 equations
2x² - y + 19 = 0 → (1)
y + 11x = 4 → (2) ← subtract 11x from both sides
y = 4 - 11x → (3)
Substitute y = 4 - 11x into (1)
2x² - (4 - 11x) + 19 = 0
2x² - 4 + 11x + 19 = 0
2x² + 11x + 15 = 0 ← in standard form
(2x + 5)(x + 3) = 0 ← in factored form
Equate each factor to zero and solve for x
2x + 5 = 0 ⇒ 2x = - 5 ⇒ x = - 
x + 3 = 0 ⇒ x = - 3
Substitute these values into (3) for corresponding values of y
x = -
: y = 4 +
=
⇒ (-
,
)
x = - 3 : y = 4 + 33 = 37 ⇒ (- 3, 37 )
Answer:
86
Step-by-step explanation:
21 <u>3</u>6
<em>5</em>2 <em>4</em>0
<u>3</u>2 <em><u>86</u></em>
<u>3</u>3 <u>3</u>8
28 <u>3</u>4
<u>3</u>0 <em>1</em>9