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pychu [463]
4 years ago
14

The Bui family consists of 2 adults and 3 children. They spent $36 for zoo tickets. The equation 2x + 3y = 36 describes the cost

for x adult tickets and y child tickets. Part of the equation is graphed below. What is the y-intercept?
Mathematics
2 answers:
julia-pushkina [17]4 years ago
6 0

Answer:

(0, 12)

Step-by-step explanation:

To find the y-intercept we just plug in x = 0 into the equation.

2(0) + 3y = 36

3y = 36

y = 12 which means the y-int. is (0, 12)

grigory [225]4 years ago
5 0

Answer:

If you plug in 0 for x and solve then you will get the y intercept. So it would be (0,12)

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Given ƒ(x) = 7x − 22, find x when ƒ(x) = 48.
IRINA_888 [86]
X= 10. Should be pretty easy
6 0
4 years ago
Please help ASAP. The question is down below.
erastovalidia [21]

Answer:

(a) and (a)

Step-by-step explanation:

In both questions the denominator of the rational functions cannot be zero as this would make them undefined. Equating the denominators to zero and solving gives the values that x cannot be.

Given

\frac{x-3}{(3-x)(2+x)}

solve (3 - x)(2 + x) = 0

Equate each factor to zero and solve for x

3 - x = 0 ⇒ x = 3

2 + x = 0 ⇒ x = - 2

x = 3 and x = - 2 are excluded values → (a)

------------------------------------------------------------------------

Given

\frac{-9x+3}{6x^2+10x-4}

solve

6x² + 10x - 4 = 0 ← in standard form

(x+ 2)(6x - 2) = 0 ← in factored form

Equate each factor to zero and solve for x

x + 2 = 0 ⇒ x = - 2

6x - 2 = 0 ⇒ 6x = 2 ⇒ x = \frac{1}{3}

x = \frac{1}{3} and x = - 2 are excluded values → (a)

7 0
3 years ago
Please help I will give out brainliest
Nitella [24]

Answer:

i)x=0,x=1

ii)

\frac{2}3} + \frac{\sqrt{40} }{6}  \\\frac{2}3}-\frac{\sqrt{40} }{6}

Step-by-step explanation:

so I did not use the graphs actually.

for the answer to question i), i wrote out the equation as given:

3x^2-3x+2=2

then, i subtracted the two from the right side of the equation to make the equation set equal to 0, and I got:

3x^2-3x+2-2=+2-2, which becomes 3x^2-3x=0

then, I used the quadratic method of taking out the greatest common factor, which in this case is 3x, and the equation becomes:

3x(x-1)=0

finally, for this equation, I set 3x=0 and x-1 =0 to get the solutions to this equation, as shown below

3x=0(divide both sides by 3 to get)x=0

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

now for the second equation, I had no other choice but to use the quadratic formula to find the solutions.

so I set up the quadratic formula as shown:

\frac{-(-4)+ or -\sqrt{(9-4)^2)-4(-2)(3)} }{2(3)}

from there the equation gets simplified down to:

\frac{4+ or -\sqrt{16-4(-6)} }{6}

simplifying the formula even further gives us:

\frac{4+ or -\sqrt{40} }{6}

if we simplify the equation one last time, we get:

\frac{2}{3} + or -\frac{\sqrt{40} }{6}

therefore, the solutions to this equation are:

\frac{2}{3} +\frac{\sqrt{40} }{6}\\ \frac{2}{3} - \frac{\sqrt{40} }{6}

8 0
3 years ago
What is the total cost of a sweatshirt if the regular price is $42 and the sales tax is 5 1/2
leonid [27]

Answer:

$44.31

Step-by-step explanation:

Regular Price = $42

Sales Tax Rate = 5  1/2% or 5.5%

The total cost would be the regular price PLUS the sales tax. We find the sales tax by finding 42's 5.5%.

First, converting percentage to decimal (dividing by 100):

5.5% = 5.5/100 = 0.055

Now finding 5.5% of $42:

42 * 0.055 = $2.31

Now, the total price is the SUM of regular and this sales tax:

Total Price = 42 + 2.31 = $44.31

6 0
3 years ago
Let c be the path c(t) = (2t, t2, log(t)), defined for t > 0. find the arc length of c between the points (2, 1, 0) and (12,
V125BC [204]
The path starts at t=1 and ends at t=6, so we have an arc length of


\displaystyle\int_{\mathcal C}\mathrm dS=\int_{t=1}^{t=6}\|\mathbf c'(t)\|\,\mathrm dt
=\displaystyle\int_1^6\sqrt{2^2+(2t)^2+\left(\frac1t\right)^2}\,\mathrm dt
=\displaystyle\int_1^6\sqrt{4t^2+4+\frac1{t^2}}\,\mathrm dt
=\displaystyle\int_1^6\frac1t\sqrt{4t^4+4t^2+1}\,\mathrm dt
=\displaystyle\int_1^6\frac1t\sqrt{(2t^2+1)^2}\,\mathrm dt
=\displaystyle\int_1^6\frac{2t^2+1}t\,\mathrm dt
=\displaystyle\int_1^6\left(2t+\frac1t\right)\,\mathrm dt
=t^2+\log t\bigg|_{t=1}^{t=6}
=(6^2+\log6)-(1^2+\log1)=35+\log6
4 0
4 years ago
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