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3 years ago

5(x+3)-5 simplify this.

Mathematics

1 answer:

nignag [31]3 years ago

8 0

Answer:

5x+10

Step-by-step explanation:

Distribute:

=(5)(x)+(5)(3)+−5

=5x+15+−5

Combine Like Terms:

=5x+15+−5

=(5x)+(15+−5)

=5x+10

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Which equation reveals the minimum or the maximum value of f(x) without changing the form of the equation?

erik [133]

Answer:

A): f(x) = (x – 1)² + 2

Step-by-step explanation:

The quadratic function, f(x) = (x – 1)² + 2 is in vertex form: y = a(x - h)² + k, where:

The vertex of the graph is (h,k).
The value of a determines whether the graph opens up or down. If a is positive, the graph opens up and the vertex is its minimum point. If a is negative, then the graph opens down, and the vertex is its maximum point.
The value of h determines how far left or right the parent function is translated.
The value of k determines how far up or down the parent function is translated.

The function, f(x) = (x – 1)² + 2, provides the pertinent information that allows us to determine the parabola's minimum value, as the value of a is a positive, which implies that the parabola is upward facing, and the vertex, (1, 2) is the minimum point.

Please mark my answers as the Brainliest if you find this helpful :)

5 0

2 years ago

G(a) = 4a ha)=a² + 2a Find (g - h)(a)

Reil [10]

Step-by-step explanation:

all work is shown and pictured

4 0

2 years ago

What is the perimeter of the square ABCD?

svp [43]

Answer:

P= 4a would be the answer

5 0

1 year ago

Given that f(x) = x2 + 10x + 21 and g(x) = x + 7, find (f•g)(x) and express

sammy [17]

Answer:

Step-by-step explanation:

$given \\ f(x) = x ^{2} + 10x + 21 \: and \: g(x) = x + 7$

$as \: we \: know \: (f.g)x \: is \: same \: as$

$f(g(x))$

$so \:$

$f(x + 7) = ( x + 7) ^{2} + 10(x + 7) + 21$

$f(x + 7) = {x}^{2} + 14x + 49 + 10x + 70 + 21$

$f(x + 7) = x^{2} + 24x + 140$

$therefore$

$(f.g)x = {x}^{2} + 24x + 140$

3 0

3 years ago

Express $0.\overline{5}$ as a common fraction in lowest terms.

andreyandreev [35.5K]

<h3>Answer: 5/9</h3>

=======================================================

Explanation:

$0.\overline{5}$ means that the 5's go on forever because of that horizontal bar over top. So we can write it as $0.\overline{5} = 0.55555\ldots$

The three dots indicate it goes on forever following that pattern.

Let

x = 0.55555....

Multiply both sides by 10 to move the decimal point 1 spot to the right

10x = 5.55555....

Notice how both x and 10x involve a decimal number such that we have a string of 5's going on forever. If we subtract the two equations, then 10x-x becomes 9x, while the (5.55555....) - (0.55555....) simplifies to 5. The decimal portions cancel out when we subtract since they line up perfectly. We're effectively subtracting 5-0 when we cross off the decimal portions.

After those subtractions, we're left with 9x = 5 which solves to x = 5/9 when you divide both sides by 9.

Use of a calculator should show that 5/9 = 0.555555.... to help confirm the answer. Your calculator may show the last digit to be a 6 instead of a 5, but this is due to rounding. Ideally you should have a string of infinitely many 5's, but the calculator can only how so many digits.

3 0

2 years ago