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stira [4]
3 years ago
12

Identify the type of conic section that is represented by the equation y^2- 1 = 4(x-7). DUE IN 2 HOURS, will give BRAINLIEST! A.

Circle B. Hyperbola C. Parabola D. Ellipse

Mathematics
1 answer:
Elenna [48]3 years ago
8 0

Answer:

Solution : Parabola

Step-by-step explanation:

As you can see only one variable is square in this situation, so it can only be a parabola. We can prove that it is a parabola however by converting it into standard form (x - h)^2 + (y - k)^2.

y^2-1=4\left(x-7\right) = y^2-1=4\left(x-7\right)

Respectively it's properties would be as follows,

\left(h,\:k\right)=\left(\frac{27}{4},\:0\right),\:p=1

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) Tara earns twice as much per hour as Kayte.
Cerrena [4.2K]

Answer:

Austin's hourly wage is $8.

Step-by-step explanation:

This question can be solved using a system of equations.

I am going to say that:

Tara's hourly wage is x.

Kayte's hourly wage is y.

Austin's hourly wage is z.

Tara earns twice as much per hour as Kayte.

This means that x = 2y

Kayte earns $3 more per hour than Austin.

This means that y = z + 3

As a group, they earn $41 per hour.

This means that x + y + z = 41

What is Austin's hourly wage?​

This is z.

x + y + z = 41

y = z + 3 and x = 2y, so x = 2(z + 3) = 2z + 6

x + y + z = 41

2z + 6 + z + 3 + z = 41

4z + 9 = 41

4z = 32

z = \frac{32}{4}

z = 8

Austin's hourly wage is $8.

5 0
3 years ago
Read 2 more answers
Ndicate the equation of the line through (2, -4) and having slope of 3/5.
lord [1]

\bf (\stackrel{x_1}{2}~,~\stackrel{y_1}{-4})~\hspace{10em} slope = m\implies \cfrac{3}{5} \\\\\\ \begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-(-4)=\cfrac{3}{5}(x-2) \implies y+4=\cfrac{3}{5}x-\cfrac{6}{5} \\\\\\ y=\cfrac{3}{5}x-\cfrac{6}{5}-4\implies \implies y=\cfrac{3}{5}x-\cfrac{26}{5}

7 0
3 years ago
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Hello! I kinda need a little help with this...
Andre45 [30]

I honestly don't know or I would have replied. Sorry :(

7 0
3 years ago
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A museum has an aquarium in the shape of a right rectangular prism that is 22.9 meters long 7.5 meters wide and 4.6 meters high
V125BC [204]
The volume equals: Height * Width * Long
therefore the volume = 22.9*7.5*4.6 = 790 cubic meter.
7 0
3 years ago
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50 random teenagers were asked how many hours a day they use their phone. They spent an average of 7 hours a day with a standard
tatyana61 [14]

Answer:

The margin of error for the true mean number of hours a teenager spends on their phone is of 0.4 hours a day.

Step-by-step explanation:

We have the standard deviation of the saple, so we use the t-distribution to solve this question.

The first step to solve this problem is finding how many degrees of freedom, we have. This is the sample size subtracted by 1. So

df = 50 - 1 = 49

95% confidence interval

Now, we have to find a value of T, which is found looking at the t table, with 49 degrees of freedom(y-axis) and a confidence level of 1 - \frac{1 - 0.95}{2} = 0.975. So we have T = 2

The margin of error is:

M = T\frac{s}{\sqrt{n}} = 2\frac{1.3}{\sqrt{50}} = 0.4

In which s is the standard deviation of the sample and n is the size of the sample.

The margin of error for the true mean number of hours a teenager spends on their phone is of 0.4 hours a day.

4 0
3 years ago
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