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Answer:

[tex]\displaystyle f(x)=\frac{1}{2}x^2-2x-2[/tex]

Step-by-step explanation:

To convert from vertex form to standard form, we can simply expand.

So, we have:

[tex]\displaystyle f(x)=\frac{1}{2}(x-2)^2-4[/tex]

Expand the square:

[tex]\displaystyle f(x)=\frac{1}{2}(x^2-4x+4)-4[/tex]

Distribute:

[tex]\displaystyle f(x)=\frac{1}{2}x^2-2x+2-4[/tex]

Simplify:

[tex]\displaystyle f(x)=\frac{1}{2}x^2-2x-2[/tex]

Answer:

the aswer is 2

Step-by-step explanation:

this is because 10/5=2

Step-by-step explanation:

For first triangle,

sin 45 = 3 / d

1 / root 2 = 3 / d

d = 3 root 2

For second triangle,

tan 60 = 7 / a

root 3 = 7 / a

a = 7 / root 3

Answer:

Step-by-step explanation:

(290 ft - 125 ft)/(3 hours) = (165 ft)/(3 hours) = 55 ft/hour

Answer:

2.5 miles west and 1 mile north

Step-by-step explanation:

Explanation:

Imagine that you cross out the top-most square for each step of each diagram. The squares not crossed out have the following counts: 1, 4, 9

This is the sequence of perfect squares. So the rule will have us take the number n, and square it to get n^2. Then we add on the squares we crossed out earlier. This explains the "plus 1" at the end to get the answer of n^2+1

Answer:

[tex] {n}^{2} + 1 \\ \: respresents \: the \: following \: \\ function[/tex]

i hope it helped.

Answer:

its 34

Step-by-step explanation: i

Answer:

28

Step-by-step explanation:

Janice is currently 4.

In 12 years, Janice will be 16, and 2 years ago she was 2. That being said, 16 is eight times more than 2, thus meaning she is currently 4 years old.

I hope this helps!

Answer:

Step-by-step explanation:

A: 2x = 3

B: w+1.3 = 2.7

C: 3y = 5.1

D: z+⅓ = ½

Answer:

One reason, is because it clearer and easier to read.

Seeing two numbers (3^5) can let you know, in this example, 3x3x3x3x3 is harder to understand than 3^5.

3 is the number being multiplied, and 5 tells you how many times.

~Hope this helps~

Answer:

y = 1

Step-by-step explanation:

To find the y-intercept (s), substitute in 0 for x and solve for y.

y = 2/5 x (0)+1

y-intercepts (0, 1)

Answer:

In a general point (x, y) the horizontal component is the x-component, and the vertical component is the y-component.

then if we have the points (a, b) and (c, d)

The vertical distance or change between these points will be the difference between the y-components, and the horizontal distance or change is the difference between the x-components.

Then the vertical change between the points (2.5 , 1) and (5, 2) is:

2 - 1 = 1 unit.

The horizontal change between the points (2.5, 1) and (5, 2) is:

5 - 2.5 = 2.5 units.

Answer:

[tex]each \: ribeye \: costs \: \boxed{(r) \to \: \$23.3664} ......................... .. \\ each \: grilled \: salmon \: dinners \: costs \: \boxed{(r) \to \: \$18.29912}[/tex]

Step-by-step explanation:

[tex]let \: ribeye \: be \to \: (r).......................... \\ let \: grilled \: salmon \: dinners \: be \to \: (g) \\ \tt{hence} \to\\ (5) \times 17r + 10g = \$580.22 \\(10) \times 21r + 5g = \$582.19 \\ \to \\ (85r + 50g = 2,901.1) \\ - (minus)\\ (210r + 50g =5,821.9 ) \\ - 125r = - 2,920.8 \\ r = \frac{ -2,920.8 }{ - 125} \\ \boxed{r = \$23.3664} \\ \tt{hence} \to\\17r + 10g = \$580.22 \\ 17(23.3664) + 10g = \$580.22 \\1 0g = \$580.22 - \$397.2288 \\ 10g = \$182.9912 \\ g = \frac{\$182.9912}{10} \\ \boxed{g = \$18.29912}[/tex]

Answer:

7/8 + 4/8 = 1 3/8.

Step-by-step explanation:

In words the answer is 1 and 3/8.

Answer:

1 1/6

Step-by-step explanation:

You can convert 7/6 into a mixed number by subtracting 1 from the improper fraction, because 1= 6/6

7/6 -6/6= 1 1/6

Answer:

7/6 would be 1 1/6

Step-by-step explanation:

To make it a number in general turn into a decimal.

Answer:

8

Step-by-step explanation:

We can use triangle inequality, let AC = x:

x+4 > 5

x+5 > 4

9 > x

Simplifying:

x>1

x>-1

9>x

Thus: 9>x>1

So the Largest whole number is 8

Answer:

ahhh you didnt have to !!

Step-by-step explanation:

thank you so much, ill do the same!! check my page for a question w free brainliest

9514 1404 393

Answer:

  obtuse

Step-by-step explanation:

You may remember that side lengths of 3, 4, 5 make a right triangle. Doubling those lengths to 6, 8, 10 will still give a right triangle.

The given triangle has a longest side (11) longer than would be appropriate for a right triangle (10), so the largest angle is larger than 90°.

The triangle is obtuse.

__

Comparison of a triangle to a right triangle with two sides the same is one of several ways the triangle can be classified. You can use the Law of Cosines to find the largest angle, or you can use a triangle solver (as we have below).

In case you don't recall that 3-4-5 makes a right triangle, you can use the Pythagorean theorem to find the longest side of a right triangle with the given shorter sides:

  hypotenuse = √(6² +8²) = √100 = 10

Your long side is longer, so your largest angle is larger than 90°.

Law of Cosines:

  angle = arccos((6² +8² -11²)/(2·6·8)) = arccos(-21/96) ≈ 102.6°

Answer:

If you're solving for y, the answer s (0,3/8)

Step-by-step explanation:

Answer:

log(144) or 2.158

Step-by-step explanation:

Answer:

log(144)

Step-by-step explanation:

When you evaluate and multiply it out, this is what it turns out to be. Hope this helps!!!:)

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