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adoni [48]
3 years ago
11

Find an equation of a line whose graph intersects the graph of the parabola y=x^2 at (a) two points, (b) one point, and (c) no p

oint.
Mathematics
1 answer:
Ber [7]3 years ago
7 0
(a)  y = x + 2

(b) y = 2x - 1

(c)  y = 2x - 3
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How do I do this!?! 2s+5 greater than or equal to 49
aev [14]
<span>2s+5>= 49
Subtract 5 from both sides
2s>=44
Divide 2 on both sides
Final Answer: s>=22</span>
3 0
3 years ago
If y=12 when x=6 determine y when x=18
Alchen [17]
Y will equal 36. You can figure this out because you know y is double the value of x. If x is 18,you can just multiply it by 2, which equals 36
5 0
3 years ago
Terri Vogel, an amateur motorcycle racer, averages 129.71 seconds per 2.5 mile lap (in a 7 lap race) with a standard deviation o
Vikki [24]

Answer:

(a) The percent of her laps that are completed in less than 130 seconds is 55%.

(b) The fastest 3% of her laps are under 125.42 seconds.

(c) The middle 80% of her laps are from <u>126.80</u> seconds to <u>132.63</u> seconds.

Step-by-step explanation:

The random variable <em>X</em> is defined as the number of seconds for a randomly selected lap.

The random variable <em>X </em>is normally distributed with mean, <em>μ</em> = 129.71 seconds and standard deviation, <em>σ</em> = 2.28 seconds.

Thus, X\sim N(129.71,\ 2.28^{2}).

(a)

Compute the probability that a lap is completes in less than 130 seconds as follows:

P(X

                   =P(Z

The percentage is, 0.55 × 100 = 55%.

Thus, the percent of her laps that are completed in less than 130 seconds is 55%.

(b)

Let <em>x</em> represents the 3rd percentile.

That is, P (X < x) = 0.03.

⇒ P (Z < z) = 0.03

The value of <em>z</em> for the above probability is:

<em>z</em> = -1.88

Compute the value of <em>x</em> as follows:

z=\frac{x-\mu}{\sigma}\\-1.88=\frac{x-129.71}{2.28}\\x=129.71-(1.88\times 2.28)\\x=125.4236\\x\approx 125.42

Thus, the fastest 3% of her laps are under 125.42 seconds.

(c)

Let <em>x</em>₁ and <em>x</em>₂ be the values between which the middle 80% of the distribution lie.

That is,

P(x_{1}

The value of <em>z</em> for the above probability is:

<em>z</em> = 1.28

Compute the values of <em>x</em>₁ and <em>x</em>₂ as follows:

-z=\frac{x_{1}-\mu}{\sigma}\\-1.28=\frac{x_{1}-129.71}{2.28}\\x_{1}=129.71-(1.28\times 2.28)\\x=126.7916\\x\approx 126.80               z=\frac{x_{2}-\mu}{\sigma}\\1.28=\frac{x_{2}-129.71}{2.28}\\x_{2}=129.71+(1.28\times 2.28)\\x=132.6284\\x\approx 132.63

Thus, the middle 80% of her laps are from <u>126.80</u> seconds to <u>132.63</u> seconds.

5 0
3 years ago
Solve and show your work.<br><br> 1. 3(2x + 3) - 4x = -3<br><br> 2. 26 = 3x - 2 - 7x
yKpoI14uk [10]

Answer:

1. x=-6

Step-by-step explanation:

Step 1: Simplify both sides of the equation.

3(2x+3)−4x=−3

(3)(2x)+(3)(3)+−4x=−3(Distribute)

6x+9+−4x=−3

(6x+−4x)+(9)=−3(Combine Like Terms)

2x+9=−3

2x+9=−3

Step 2: Subtract 9 from both sides.

2x+9−9=−3−9

2x=−12

Step 3: Divide both sides by 2.

x=-6

3 0
2 years ago
Help please I give brainliest
Alex73 [517]

Answer:

interest is $105

total is $455

Step-by-step explanation:

350 * .03 = 10.5

10.5*10 = 105

interest is 105

350 +105 = 455

5 0
2 years ago
Read 2 more answers
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