If a line segment were drawn between points B and C on the graph the midpoint of the segment would be

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Over [174]

Answer:

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Step-by-step explanation:

HJSJSJJSNS

5 0

3 years ago

Read 2 more answers

The Hendersons went on a driving vacation. They decided to travel 1/3 of the distance on the first day. Owing to bad weather, th

Sloan [31]

Answer:

A)

$\displaystyle \frac{1}{12}$

B)

$\displaystyle \frac{3}{5}$

C)

$\displaystyle \frac{17}{24}$

Step-by-step explanation:

Part A)

The Hendersons were traveling 1/3 of the distance on the first day.

However, they had to stop, having only traveled 1/4 of the 1/3 distance.

So, we can multiply the two fractions together.

Therefore, the fraction of the total distance they traveled is given by:

$\displaystyle \frac{1}{4}\times\frac{1}{3}=\frac{1}{12}$

The Hendersons traveled 1/12 of the total distance.

Part B)

We are assuming the bottle of milk was full at the beginning.

So, at the beginning, there were 1/1 bottle of milk left.

Howie fed a piglet 1/5 of the bottle. So, there is now:

$\displaystyle 1-\frac{1}{5}$

Of the bottle left.

Making common denominators and subtracting yields:

$\displaystyle =\frac{5}{5}-\frac{1}{5}=\frac{4}{5}$

So, after feeding the piglet, 4/5 of the bottle of milk was still there.

3/4 of the remainder was fed to a calf.

So, the amount that was fed to the calf is 3/4 times 4/5. Therefore:

$\displaystyle \frac{3}{4}\times\frac{4}{5}$

Multiply:

$\displaystyle =\frac{12}{20}=\frac{3}{5}$

So, the calf drank 3/5 of the bottle of milk.

Part C)

Nathan used 2 (5/6) loaves of bread to make 4 sandwiches.

First, convert 2 (5/6) to an improper fraction. So:

$\displaystyle 2\frac{5}{6}=\frac{12+5}{6}=\frac{17}{6}$

Nathan made 4 sandwiches using this. So, we will divide this by 4. Note that this is the same as multiplying by 1/4. Therefore:

$\displaystyle \frac{17}{6}\times\frac{1}{4}=\frac{17}{24}$

So, Nathan used 17/24 loaves of bread per sandwich.

4 0

3 years ago

Simplify the expression: 3x2⋅x2= a 3x b 3x4 c 3x2+2

DedPeter [7]

Answer:

The quadratic equations and their solutions are;

9 ± √33 /4 = 2x² - 9x + 6.

4 ± √6 /2 = 2x² - 8x + 5.

9 ± √89 /4 = 2x² - 9x - 1.

4 ± √22 /2 = 2x² - 8x - 3.

Explanation:

Any quadratic equation of the form, ax² + bx + c = 0 can be solved using the formula x = -b ± √b² - 4ac / 2a. Here a, b, and c are the coefficients of the x², x, and the numeric term respectively.

We have to solve all of the five equations to be able to match the equations with their solutions.

2x² - 8x + 5, here a = 2, b = -8, c = 5. x = -b ± √b² - 4ac / 2a = -(-8) ± √(-8)² - 4(2)(5) / 2(2) = 8 ± √64 - 40/4. 24 can also be written as 4 × 6 and √4 = 2. So x = 8 ± 2√6 / 2×2= 4±√6/2.

2x² - 10x + 3, here a = 2, b = -10, c = 3. x =-b ± √b² - 4ac / 2a =-(-10) ± √(-10)² - 4(2)(3) / 2(4) = 10 ± √100 + 24/4. 124 can also be written as 4 × 31 and √4 = 2. So x = 10 ± 2√31 / 2×2 = 5 ± √31 /2.

2x² - 8x - 3, here a = 2, b = -8, c = -3. x = -b ± √b² - 4ac / 2a = -(-8) ± √(-8)² - 4(2)(-3) / 2(2) = 8 ± √64 + 24/4. 88 can also be written as 4 × 22 and √4 = 2. So x = 8 ± 2√22 / 2×2 = 4± √22/2.

2x² - 9x - 1, here a = 2, b = -9, c = -1. x = -b ± √b² - 4ac / 2a = -(-9) ± √(-9)² - 4(2)(-1) / 2(2) = 9 ± √81 + 8/4. x = 9 ± √89 / 4.

2x² - 9x + 6, here a = 2, b = -9, c = 6. x = -b ± √b² - 4ac / 2a = -(-9) ± √(-9)² - 4(2)(6) / 2(2) = 9 ± √81 - 48/4. x = 9 ± √33 / 4 .

Step-by-step explanation:

8 0

3 years ago

How do you show decimal and fractions on the number line.

zhuklara [117]

Where is the number line? You need to put the picture of the line in this website.

3 0

3 years ago

Combine Like Terms : v+v

hichkok12 [17]

ANSWER: V^2

Because there are 2V’s therefore it is v^2/v to the second power

8 0

3 years ago