MATHEMATICS MIDDLE SCHOOL

What are the verter and x-intercepts of the graph of the function given below?
y=x2-2x-35

Answers

Answer 1
Answer:

For x intercepts, plug in 0 for y.

               0 = (x^2) - 2x - 35

*factoring* = (x-7)(x+5)

x intercepts = 7,-5

As for the vertex, you can use the equation -b/2a for the x-coordinate of the vertex

so,

x = -b/2a = -(-2)/2 = 1

then just find the y value by plugging it back in to the equation.

y = ((1)^2) - 2(1) - 35

= -36

so, vertex is at (1,-36)

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How do you write the fraction 7/10 as a sum of fractions three different ways

Answers

First three sum1/10 + 2/10 + 4/10Proof: When the numbers in the denominator have the same value, fractions can be compute only with the sum of numerator values and the denominator doesn’t change.1/10 + 2/10 + 4/10 = 1+2+4 / 10 = 7/10Second three sum1/10+1/5 + 2/5,Proof: such kind of fractions can be computed as follows: 1/10 + (1+2 )/5 (same denominators). 1/10 + (1+2 )/5= 1/10 + 3/5= 5x1 +10x3 / 5x10 = 5+30 /50 =35/50, by simplifying by 5, 35/50=7/10The third three sum is5/10+ 3/15+8/20,it can be computed by using the same method as given above

Final answer:

To write the fraction 7/10 as a sum of fractions three different ways, you can use a common denominator, multiples of the denominator, or equivalent fractions.

Explanation:

To write the fraction 7/10 as a sum of fractions three different ways, we can use different denominators. Here are three ways:

  1. Using a common denominator: Multiply the numerator and denominator of 7/10 by 3/3 to get 21/30. Then, express 21/30 as the sum of three fractions with different numerators: 7/30 + 7/30 + 7/30.
  2. Using multiples of the denominator: Express 7/10 as the sum of fractions with denominators that are multiples of 10, such as 20, 30, and 40. So, 7/10 can be written as 14/20 + 21/30 + 28/40.
  3. Using equivalent fractions: Find equivalent fractions of 7/10 with different denominators, such as 14/20, 21/30, and 28/40. Then, express 7/10 as the sum of these equivalent fractions.

Learn more about Writing fractions as sums here:

brainly.com/question/23853550

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How many tenths are in 15.03

Answers

There are 10 "tenths" in one whole number.

15 --> 15 whole numbers --> 15 * 10 = 150 --> 150 tenths

0.03 --> 3 hundredths --> 10 hundredths = 1 tenth --> 3/10 tenth

150 3/10 tenths in 15.03

Suppose you plan to purchase 10 items that each cost 4.45. Explain how you use mental math to to find the cost of 10 items

Answers

Answer:

44.5

Step-by-step explanation:

Multiplying 10 with 4.45 using mental math to find the total cost of 10 items. first multiply 0 with 445 which will yield 000, then multiply 1 with 445 which will yield 445 now put a cross beneath last 0 in 000 and write 445 before it and perform addition which will yield 4450 as the decimal was initially was before the second last digit in 4.45, place it accordingly in 4450 which will yield 44.5.

How do I factor 54+27 using the GCF?

Answers

1. Make a factor tree( always helps for me).

2. Identify the common numbers that make it.

3. 36 and 54 have factors of 2 and 3s in common.

4. Multiply the common factors to find the GCF.

I hope this helped!:)

What is the mode of 72

Answers

36 i think is the answer
I believe the right answer would be 36

Please help!!!The number of Indian, Malay, and Chinese pupils in a school is in the ratio of 1 : 3 : 6. If there are 360 more Malay pupils than Indian pupils, how many Chinese pupils are in the school?​

Answers

Answer:

1080

Step-by-step explanation:

looking at the ratio of 1 : 3 : 6, we can say that the pupils are divided into 1 + 3 + 6 = 10 "parts".

Indian are 1 part, Malay are 3 parts, and Chinese are 6 parts.

So 3x (3 parts of malay) is 360 more than 1x (1 part of Indian). Thus:

3x - 360 = x

2x = 360

x = 180

We know chinese is 6 parts, or 6x, so Chinese would be 6 (180) = 1080

Hence, there are 1080 chinese pupils
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