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fredd [130]
3 years ago
13

Find the product of 5/6 and 42

Mathematics
1 answer:
Keith_Richards [23]3 years ago
3 0

Answer: Its 35 hope this helped

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Write f(x)=8x^2-4x+11 in vertex form
Vlad [161]

Answer:

f(x)=8(x-\frac{1}{4})^{2}+\frac{21}{2}

or

f(x)=8(x-0.25)^{2}+10.5

Step-by-step explanation:

we have

f(x)=8x^{2}-4x+11

This is a vertical parabola open upward (because the leading coefficient is positive)

The vertex is a minimum

Convert to vertex form

Factor the leading coefficient

f(x)=8(x^{2}-\frac{1}{2}x)+11

Complete the square. Remember to balance the equation by adding the same constants to each side.

f(x)=8(x^{2}-\frac{1}{2}x+\frac{1}{16})+11-\frac{1}{2}

f(x)=8(x^{2}-\frac{1}{2}x+\frac{1}{16})+\frac{21}{2}

Rewrite as perfect squares

f(x)=8(x-\frac{1}{4})^{2}+\frac{21}{2} ----> equation in vertex form

or

f(x)=8(x-0.25)^{2}+10.5

The vertex is the point  (0.25,10.5)

3 0
3 years ago
Adrianna has fabric that is 3/4 yard long. How many 1/8 yard long pieces will she have???
Illusion [34]

Answer:

6

Step-by-step explanation:

If x is the number of 1/8 yard long pieces, then the total length is x * 1/8.  We know that the total length is 3/4 yards.  Therefore:

x * 1/8 = 3/4

Divide:

x = (3/4) / (1/8)

To divide a fraction, multiply by its reciprocal:

x = (3/4) * (8/1)

x = 24/4

x = 6

She has 6 pieces.

3 0
3 years ago
Read 2 more answers
Olivia picked 256 strawberries from the orchards fields. she divided the strawberries evenly into 6 baskets. how many strawberri
Fofino [41]

Answer:

42 strawberries are in each basket. 4 strawberries are left over.

Step-by-step explanation:

To find out how many she put into each basket, you need to divide 256/6. Your answer should 42.6666667. Round down to 42.

To find out how many are left over, multiply 42 x 6. You need to do this to figure out how many strawberries total she used trying to put them evenly into the baskets. Your answer should be 252. Then, you subtract 256 - 252. You do this to find out how many are left over. Your answer is 4.

5 0
3 years ago
Pls help me with this:((​
BlackZzzverrR [31]

Answer:

9. A. One - to - One Correspondence

10. D. None of the above

5 0
3 years ago
Read 2 more answers
A factory adds three red drops and two blue drops of coloring to white paint to make each pint purple The factory will make 50 g
Radda [10]

30 gallons of red paint  &  20 gallons of blue paint

Step-by-step explanation:

The ratio of red to blue paint drops to make purple paint is 3 : 2

Therefore the total number of gallon, in this case, fifty (50) is equivalent to the total of two ratios (which is 3 + 2 5)

If 5 in the ratio = 50; what about 2  & 3

5 = 50

2 = x

After cross multiplication;

5x = 50 * 2

X = 100/5

X = 20

The same for ratio 3

5 = 50

3 = y

5y = 50 * 3

y = 150/5

y = 30

The answer is therefore; 30 gallons of red paint to 20 gallons of blue paint

Learn More:

For more on ratios check out;

brainly.com/question/11662922

#LearnWithBrainly

7 0
3 years ago
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