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yarga [219]
3 years ago
9

On a coordinate plane, a parabola opens up. It goes through (negative 3.5, 4), has a vertex at (negative 1.5, 0), and goes throu

gh (0.5, On a coordinate plane, a parabola opens up. It goes through (negative 3.5, 4), has a vertex at (negative 1.5, 0), and goes through (0.5, 4). The graph shows f(x) = (x – h)2. What is the value of h? h = 4). The graph shows f(x) = (x – h)2. What is the value of h? h =
Mathematics
1 answer:
kykrilka [37]3 years ago
5 0

The value of h is h = -1.5

Step-by-step explanation:

The quadratic equation is represented by a parabola, the vertex form of the equation is y = a(x - h)² + k, where

  • (h , k) are the coordinates of its vertex point
  • a is the coefficient of x²

∵ The graph is a parabola opens up

∵ It has a vertex at (-1.5, 0)

∵ The vertex of the parabola is (h , k)

∴ h = -1.5 and k = 0

∵ The graph shows f(x) = (x - h)²

∵ The coordinates of the vertex are (h , k)

∵ h = -1.5 and k = 0

∴ h = -1.5

The value of h is h = -1.5

Learn more:

You can learn more about the parabola in brainly.com/question/8054589

#LearnwithBrainly

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Find 4 consecutive even integers such that when three times the smallest of the intagers is added to twice the largest their sum
zhannawk [14.2K]
If x is the first of the integers then the statement is:

(x) , (x+2) , (x+4) , (x+6)

This means that the smallest is x and the largest is x + 6

so:
3(x) + 2(x+6) = 293
3x + 2x + 12 = 293
5x = 281
x = 56.2
This gives us a none integer (decimal)
What now?

Wait remember how x started as the lowest? what if x was the highest instead?

x, x-2, x-4, x-6
so:

3(x-6) + 2(x) = 293
5x = 315
x = 62.2

This is as close as have gotten to the answer
Cant seem to get an integer.
Maybe error in the question or some bad math on my part.


3 0
3 years ago
What is the sum of 5x^2y and (2xy^2 + x^2y)
eimsori [14]
Recognize that you must combine "like" terms.  5x^2y and x^2y are "like" terms.

Adding them together, you get 6x^2y.  

Now add 2xy^2 to 6x^2y.  These are NOT "like" terms, so you end up with 
6x^2y+2xy^2 as your final answer.  This answer is acceptable as is.  

However, you could factor out the common factors:  2xy(3x+y).
8 0
3 years ago
10) Find the area of a circle that has the<br> circumference of 117 cm. Leave it as it.
garik1379 [7]

Step-by-step explanation:

Using the formulas

A

=

π

r

2

C

=

2

π

r

Solving for

A

A

=

C

2

4

π

=

117

2

4

·

π

≈

1089.33601

cm²

A

≈

1089.34

cm²

8 0
3 years ago
A Gallup Poll used telephone interviews to survey a sample of 1030 U.S. residents over the age of 18 regarding their use of cred
Vlada [557]

Answer:

The 95% margin of error for this estimate is 0.0274 = 2.74 percentage points.

Step-by-step explanation:

In a sample with a number n of people surveyed with a probability of a success of \pi, and a confidence level of 1-\alpha, we have the following confidence interval of proportions.

\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}

In which

z is the zscore that has a pvalue of 1 - \frac{\alpha}{2}.

The margin of error is:

M = z\sqrt{\frac{\pi(1-\pi)}{n}}

95% confidence level

So \alpha = 0.05, z is the value of Z that has a pvalue of 1 - \frac{0.05}{2} = 0.975, so Z = 1.96.

72% of Americans said that they had at least one credit card

This means that p = 0.72

Give the 95% margin of error for this estimate.

M = z\sqrt{\frac{\pi(1-\pi)}{n}}

M = 1.96\sqrt{\frac{0.72*0.28)}{1030}} = 0.0274

The 95% margin of error for this estimate is 0.0274 = 2.74 percentage points.

7 0
4 years ago
an airport offers two shuttles that run on different schedules.If both shuttles leave the airport at 4:00 p.m.,at what time will
otez555 [7]

What are both of their schedules? If they are completely different, then the next time they will leave together is 4:00 pm the next day


3 0
4 years ago
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