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Dmitriy789 [7]
3 years ago
12

Which must be true of a quadratic function whose vertex is the same as its y-intercept?

Mathematics
2 answers:
Salsk061 [2.6K]3 years ago
8 0

Answer:

Step-by-step explanation:

The graph passes through the origin.  It could either open up or open down.  The quadratic has two zeros, both at (0, 0).

Troyanec [42]3 years ago
4 0
If it is the same as the Y- intercept, then that makes the quadratic function equal. The line passes through the origin ( 0,0 ).
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Tara and Julia run a race Julia takes 42 seconds to run the race she is seven seconds faster than Tara how many seconds does Tar
Y_Kistochka [10]

Answer:

49 seconds

Step-by-step explanation:

42+7=49

6 0
2 years ago
Read 2 more answers
A fruit seller sold 50 kg of orange at the rate of rupees 80 per kg and gained rupees 800 calculate his purchasing rate.​
Lorico [155]

Step-by-step explanation:

selling price of 1 kg oranges = rupees 80

so, selling price of 50 kg oranges :-

=》80 × 50

=》4000

now, profit = 800

so, Cost price (C.P) = selling price - profit

=》C.P = 4000 - 800

=》C.P = 3200

SO, purchasing rate per kg was

=》3200 ÷ 50 = 64

hence, purchasing rate = 64 rupees per kg

profit % =

\frac{profit}{cost \: price}  \times 100

=》

\frac{800}{3200}  \times 100

=》

\frac{1}{4}  \times 100

=》

25

hence, profit % = 25%

3 0
3 years ago
Suppose the life of a particular brand of laptop battery is normally distributed with a mean of 8 hours and a standard deviation
Ierofanga [76]

Answer:

4.75% probability that the battery will last more than 9 hours before running out of power

Step-by-step explanation:

Problems of normally distributed samples are solved using the z-score formula.

In a set with mean \mu and standard deviation \sigma, the zscore of a measure X is given by:

Z = \frac{X - \mu}{\sigma}

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

In this problem, we have that:

\mu = 8, \sigma = 0.6

What is the probability that the battery will last more than 9 hours before running out of power g

This is 1 subtracted by the pvalue of Z when X = 9. So

Z = \frac{X - \mu}{\sigma}

Z = \frac{9 - 8}{0.6}

Z = 1.67

Z = 1.67 has a pvalue of 0.9525

1 - 0.9525 = 0.0475

4.75% probability that the battery will last more than 9 hours before running out of power

4 0
3 years ago
If HJ=2x+5, JK=3x-7, and KH=18 what is the value of x
weqwewe [10]

Answer:

  • x = 4

Step-by-step explanation:

<u>Given</u>

  • HJ=2x+5
  • JK=3x-7
  • KH=18

<u>We see J is between H and K, so </u>

  • KH = HJ + JK
  • 2x + 5 + 3x - 7 = 18
  • 5x - 2 = 18
  • 5x = 20
  • x = 4

3 0
3 years ago
The length of a rectangle is shown below:
bazaltina [42]

Answer:

  • C(3, -3), D( -2, -3)

Step-by-step explanation:

<u>The coordinates of A and B are:</u>

  • A( -2, 3) and B(3, 3)

<u>The distance AB is:</u>

  • AB = 3 - (- 2) = 5 units

<u>The rectangle wit the area of 30 units² should have the other dimension:</u>

  • AC = BD = 30/5 = 6 units

<u>Since D and C are below of the A and B, their coordinates will be same on x-axis but different on y-axis:</u>

  • D = (-2, 3 - 6 = - 3) = (- 2, - 3)
  • C = (3, 3 - 6 = - 3) = (3, - 3)

Correct choice is B

3 0
3 years ago
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