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3 years ago

Given f(x) = x2 - 10x + 22, what is the domain of f

1 answer:

4 0

<h2><u>Answer:</u></h2><h2>Polynomials have the domain of all Reals. Plugging any Real number into the equation will give you a value. </h2><h2>Domain = {x|x∈R}</h2><h2><u></u></h2><h2><u> Step-by-step explanation:</u></h2><h2>The range is dependent on the curve itself. The axis of symmetry for this function is</h2><h2>x = -b/2a = -1(-10)/2(1) = 10/2 = 5 </h2><h2>The vertex is F(5) = (5)2 + (-10)(5) + 21 = 21 -50 + 21 = -8</h2><h2>Since the leading coefficient is positive, the parabola opens up and the vertex (5,-8) is a local minimum. It turns out to be an absolute minimum too so the Range = {x|x∈R, x≥-8}</h2>

<h2><u>Thank you</u></h2><h2><u>sunshinemadison101</u></h2>

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Please help! will give brainliest for the best helper! or first to answer aka meaning first to help :)

AleksAgata [21]

Answer:

angle 2 = 37º

Step-by-step explanation:

When two lines intersect they make vertical angles, which are angles directly across from another. Vertical angles are always congruent.

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3 years ago

What is the Y intercept of the line graphed on the grid

Alenkasestr [34]

Answer:

5.5

Step-by-step explanation:

The y-intercept of the line graph shown above is the value of the point where the line cuts the y-axis. The y-intercept of this graph is between 5 and 6. However, we can get an accurate value by calculation. This can be done by generating an equation of the line.

Recall the slope-intercept equation, $y = mx + b$ , where m = slope of the line, b = y-intercept.

To generate the equation of the line, first find slope using the points (-2, 7) and (6, 1):

$slope (m) = \frac{y_2 - y_1}{x_2 - x_1} = \frac{1 - 7}{6 -(-2)} = \frac{-6}{8} = -\frac{3}{4}$ .

Substitute m = ¾ and the coordinates (6, 1) into the slope-intercept equation to find the y-intercept (b):

$y = mx + b$

$1 = -\frac{3}{4}(6) + b$

$1 = -\frac{18}{4} + b$

$1 = -4.5 + b + 4.5$

$1 + 4.5 = -4.5 + b + 4.5$

$5.5 = b$

Therefore, b = y-intercept = 5.5.

To generate the equation of the line, plug in the values of m and b, we would have:

y = ¾x + 5.5

The y-intercept of the line of the graph is 5.5.

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3 years ago

PLEASE help due today Geometry

irina1246 [14]

$\\ \sf\Rrightarrow \dfrac{15}{20}=\dfrac{21}{28}$

$\\ \sf\Rrightarrow \dfrac{1}{4}=\dfrac{1}{4}$

Hence they are similar

<A=<H
And ratio of sides are same

Hence both triangles are similar by SAS property

$\\ \sf\Rrightarrow ∆KDH\sim ∆ABD$

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2 years ago

Find the sum and express it in simplest form. (ab+4a-6)+(ab+6)

riadik2000 [5.3K]

= 2ab + 4a + 6 - 6

= 2ab + 4a

you can factor this to 2a(b + 2)

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4 years ago

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What does cross-sectional area mean in math term?

Bingel [31]

The only math term I can think of is geometry and it means when a solid is cut through parallel to the base.
EDIT: After further research since it was all I could think of. This is the only math term for what you are looking for.

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3 years ago

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