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Juliette [100K]
2 years ago
9

Layla is driving to a concert and needs to pay for parking. There is an automatic fee of

Mathematics
2 answers:
Zina [86]2 years ago
4 0

Answer:

$26

8 + 3t

Step-by-step explanation:

EastWind [94]2 years ago
3 0

Answer:

additional charge=$3×$6

=$18

minimum charge =$8

total=$24

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7500 dollars is placed in an account with an annual interest rate of 5.25%. To the nearest tenth of a year, how long will it tak
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Ssvhcvbbcccccccccccch da as usa hcsfghssfcvygfggf
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3 years ago
Write the equation of a line in slope intercept form that is parallel to 2X plus 4Y equals 10 and passes through the point (8,2)
musickatia [10]

Answer: y=-\frac{1}{2}x+6

Step-by-step explanation:

The equation of the line is slope-intercept form is:

y=mx+b

Where m is the slope and b thte y-intercept.

The lines are parallel, then they have the same slope.

Solve for "y"  from  2x+4y=10 to find the slopes of the lines :

2x+4y=10\\4y=-2x+10\\y=-\frac{1}{2}x+\frac{5}{2}

The  value of the slopes of the lines is:

m=-\frac{1}{2}

Substitute the slope and the point into the equation of the line and solve for "b":

2=-\frac{1}{2}(8)+b\\2=-4+b\\b=6

Then the equation of this line is:

y=-\frac{1}{2}x+6

3 0
3 years ago
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One survey estimates that, on average, the retail value of a mid-sized car decreases by 8% annually. If the retail value of a ca
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\bf \qquad \textit{Amount for Exponential Decay}\\\\
A=I(1 - r)^t\qquad 
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A=\textit{accumulated amount}\\
I=\textit{initial amount}\to &V\\
r=rate\to 8\%\to \frac{8}{100}\to &0.08\\
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8 0
3 years ago
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Prove the formula that:
azamat

Step-by-step explanation:

Given: [∀x(L(x) → A(x))] →

[∀x(L(x) ∧ ∃y(L(y) ∧ H(x, y)) → ∃y(A(y) ∧ H(x, y)))]

To prove, we shall follow a proof by contradiction. We shall include the negation of the conclusion for

arguments. Since with just premise, deriving the conclusion is not possible, we have chosen this proof

technique.

Consider ∀x(L(x) → A(x)) ∧ ¬[∀x(L(x) ∧ ∃y(L(y) ∧ H(x, y)) → ∃y(A(y) ∧ H(x, y)))]

We need to show that the above expression is unsatisfiable (False).

¬[∀x(L(x) ∧ ∃y(L(y) ∧ H(x, y)) → ∃y(A(y) ∧ H(x, y)))]

∃x¬((L(x) ∧ ∃y(L(y) ∧ H(x, y))) → ∃y(A(y) ∧ H(x, y)))

∃x((L(x) ∧ ∃y(L(y) ∧ H(x, y))) ∧ ¬(∃y(A(y) ∧ H(x, y))))

E.I with respect to x,

(L(a) ∧ ∃y(L(y) ∧ H(a, y))) ∧ ¬(∃y(A(y) ∧ H(a, y))), for some a

(L(a) ∧ ∃y(L(y) ∧ H(a, y))) ∧ (∀y(¬A(y) ∧ ¬H(a, y)))

E.I with respect to y,

(L(a) ∧ (L(b) ∧ H(a, b))) ∧ (∀y(¬A(y) ∧ ¬H(a, y))), for some b

U.I with respect to y,

(L(a) ∧ (L(b) ∧ H(a, b)) ∧ (¬A(b) ∧ ¬H(a, b))), for any b

Since P ∧ Q is P, drop L(a) from the above expression.

(L(b) ∧ H(a, b)) ∧ (¬A(b) ∧ ¬H(a, b))), for any b

Apply distribution

(L(b) ∧ H(a, b) ∧ ¬A(b)) ∨ (L(b) ∧ H(a, b) ∧ ¬H(a, b))

Note: P ∧ ¬P is false. P ∧ f alse is P. Therefore, the above expression is simplified to

(L(b) ∧ H(a, b) ∧ ¬A(b))

U.I of ∀x(L(x) → A(x)) gives L(b) → A(b). The contrapositive of this is ¬A(b) → ¬L(b). Replace

¬A(b) in the above expression with ¬L(b). Thus, we get,

(L(b) ∧ H(a, b) ∧ ¬L(b)), this is again false.

This shows that our assumption that the conclusion is false is wrong. Therefore, the conclusion follows

from the premise.

15

5 0
3 years ago
Solve for x .<br><br> 3(2 x - 3) + 4(2 - x ) = 0<br><br> 17/10<br><br> -17/10<br><br> 1/2
fiasKO [112]

Answer:

x = \frac{1}{2}

Step-by-step explanation:

3(2x - 3) + 4(2 - x)  = 0 ← distribute parenthesis

6x - 9 + 8 - 4x = 0 , that is

2x - 1 = 0 ( add 1 to both sides )

2x = 1 ( divide both sides by 2 )

x = \frac{1}{2}

7 0
2 years ago
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