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3 years ago

I help with Algebra ASAP!!!!

Mathematics

1 answer:

Ludmilka [50]3 years ago

7 0

Answer:

(1, 0)

Step-by-step explanation:

To find the vertex of a quadratic function use the formula: x = -b/2a to find the x-value, which is "h" in (h, k).

The a-value is 2 and the b-value is -4. Substitute these values into the formula to find the x coordinate of the vertex.

x = -(-4) / 2(2)

Two negatives make a positive so the -(-4) becomes a 4, and 2 * 2 is 4.

x = 4/4 which simplifies to 1.

To find the y-coordinate (k) substitute 1 for x into the original equation.

y = 2(1)^2 - 4(1) + 2

Evaluate the exponent.

y = 2(1) - 4(1) + 2

Multiply 2 and -4 by 1.

y = 2 - 4 + 2

Simplify by combining like terms.

y = 0

You have x = 1 and y = 0, which is (x, y) ⇒ (h, k) so the vertex coordinates are (1, 0).

You might be interested in

Write the quadratic function in vertex form. Then identify the vertex.

ddd [48]

Answer:

Step-by-step explanation:

To put the equation into vertex form, we need to complete the square

$g(x) = (x^2 - 4x + ...) - 1\\g(x) = (x^2-4x+(\frac{4}{2})^2 ) - 1 - (\frac{4}{2})^2 \\g(x) = (x-2)^2 - 5\\$

This is in the form

$y = a(x-h)^2 + k\\(h, k)$

So, the vertex is (2, -5)

and $g(x) = (x-2)^2-5$

7 0

2 years ago

What is the product of (x − 3) and (x + 7)?

NeX [460]

Answer:

The product of (x-3) and (x+7) is x² + 4x - 21

Step-by-step explanation:

The product of (x-3) and (x+7) is x² + 4x - 21

The product of (x - 3) and (x + 7) can be found as follows:

(x - 3)(x + 7)

open the bracket by multiplying

Therefore,

x(x) +x(7) - 3(x) - 3(7)

x² + 7x - 3x - 21

combine like terms

x² + 4x - 21

3 0

2 years ago

Read 2 more answers

7. Which is the graph of y = 23 x?<br> please help me with this, thank you:)

sladkih [1.3K]

Answer:

Step-by-step explanation:

Graph D has a positive slope. The line goes <em>up 2 units and right 3 units.</em>

4 0

2 years ago

Please help urgentttttttt

Kruka [31]

Answer:

The best answer would be C

Step-by-step explanation:

The square has two parallel lines and the rhombus has parallel lines as well. And when you turn the square, it looks like a rhombus. They are both parallelograms and quadrilaterals.

Hope this helps

7 0

3 years ago

g Q3 [20 points] Suppose that your average heart rate is 72. The average heart rate in your class is 82 and the variance is 25.

Ganezh [65]

Answer:

2.28% of the class has a lower heart rate

Step-by-step explanation:

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

In a set with mean $\mu$ and standard deviation(which is the square root of the variance) $\sigma$ , 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:

$\mu = 82, \sigma = \sqrt{25} = 5$

What percent of the class has a lower heart rate

Lower than 72, which is the pvalue of Z when X = 72.

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

$Z = \frac{72 - 82}{5}$

$Z = -2$

$Z = -2$ has a pvalue of 0.0228

2.28% of the class has a lower heart rate

7 0

3 years ago