MATHEMATICS HIGH SCHOOL

Solve by using the quadratic formula.
15x^2 - 1 = 2x

Answers

Answer 1
Answer: 15x^2-1=2x\n\n15x^2-2x-1=0\n\na=15;\ b=-2;\ c=-1\n\n\Delta=b^2-4ac\to\Delta=(-2)^2-4\cdot15\cdot(-1)=4+60=64\n\nx_1=(-b-\sqrt\Delta)/(2)a;\ x_2=(-b+\sqrt\Delta)/(2a)\n\n\sqrt\Delta=√(64)=8\n\nx_1=(2-8)/(2\cdot15)=(-6)/(30)=-(1)/(5);\ x_2=(2+8)/(2\cdot15)=(10)/(30)=(1)/(3)
Answer 2
Answer: 15x^2 - 1 = 2x \n\n15x^2-2x - 1 = 0\n \na=15, \ \ b=-2 , \ \ c=-1 \n \n\Delta =b^2-4ac = (-2)^2 -4\cdot 15 \cdot (-1) = 4+60=64 \n \nx_(1)=(-b-√(\Delta) )/(2a)=(-(-2)-√(64))/(2\cdot 15 )=( 2-8)/(30)=(-6)/(30)=- (1)/(5)\n \nx_(2)=(-b+√(\Delta) )/(2a)=(-(-2)+√(64))/(2\cdot 15 )=( 2+8)/(30)=(10)/(30)= (1)/(3)

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Select the proper inverse operation to check the answer to 25-13=12
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If f(x) = (x + 7)^2, which of the following is g(x) based on the translation?g(x) = (x + 9)^2
g(x) = (x + 5)^2
g(x) = (x − 9)^2
g(x) = (x − 5)^2

Answers

f(x) = (x+7)²
(x+7)(x+7) = x(x+7)+7(x+7) = x² + 7x + 7x + 49 = x² + 14x + 49

(x+9)² = (x+9)(x+9) = x(x+9)+9(x+9) = x² + 9x + 9x + 81 = x² + 18x + 81 
(x+5)² = (x+5)(x+5) = x(x+5)+5(x+5) = x² + 5x + 5x + 25 = x² + 10x + 25
(x-9)² = (x-9)(x-9) = x(x-9)-9(x-9) = x² - 9x - 9x + 81 = x² - 18x + 81
(x-5)² = (x-5)(x-5) = x(x-5)-5(x-5) = x² - 5x - 5x + 25 = x² - 10x + 25

I think g(x) based on the translation would be g(x) = (x+9)²

The function that is based on the translation is g(x) = (x + 5)^2

How to determine the translation?

The function f(x) is given as:

f(x) = (x + 7)^2

The function f(x) is translated 2 units right to get function g(x)

This means that:

g(x) = f(x - 2)

So, we have:

f(x - 2) = (x -2 + 7)^2

Evaluate

f(x - 2) = (x + 5)^2

This gives

g(x) = (x + 5)^2

Hence, the function that is based on the translation is g(x) = (x + 5)^2

Read more about translation at:

brainly.com/question/8959437

#SPJ5

For the Best Answer: 8+4Paul needs 4.5 cups of flour and 0.5 cup of brown sugar for his recipe.
Which statement best describes how much of each ingredient Paul needs to measure?

A.Paul should measure exactly 4 cups of flour and 1 cup of brown sugar since that makes a total of 5 cups of ingredients.


B.Paul should measure exactly 4.5 cups of flour and 0.5 cup of brown sugar so that he has enough flour and not too much brown sugar for the recipe.


C.Paul should make it easy and just measure a total of 5 cups of flour and brown sugar since it all gets mixed up in the recipe anyway.

Answers

The answer is B because that's what the recipe calls for that's what he needs to do otherwise it won't turn out right. 

The sum of two consecutive odd integers is 236. What is the smaller integer? A.115
B.117
C.119
D.113

Answers

HEY there,

236/2=117 

117 enn odd number 

117+117=236

1,3,7 are odd number so 

hope this helped you 

Plz mark brainliest if you want (;
The answer is 117. Hope this helps and good job :)

What is 191x21=?????

Answers

191 times 21
191 times 21=191 times (20+1) correct?
therefor
use distributive property
remember that it is a(b+c)=ab+ac
therefor
191 times 21=191(20+1)=191 times 20+191 times 1=191 times 2 times 10+191=382 times 10+191=3820+191=4011
answer is 4011
191
×21
------
191
+382
---------
4011

answer= 4011
hope it helps

Use scientific notation to estimate the number of inches in 1,225 miles. Include all calculations in your final answer. 1 inch ≈ 1.578 × 10 -^5 miles.

Answers

Answer:

  7.763×10^7 inches

Step-by-step explanation:

  (1225\,mi)(1\,in)/(1.578\cdot 10^(-5)\,mi)=(12.25)/(1.578)\cdot 10^(2-(-5))\,in \approx 7.763\cdot 10^7\,in

When writing 1225 in scientific notation, it is convenient to choose an exponent so that the division result comes out with the right scale factor. It is easy to see that 1.2 < 1.6, so use of numbers with exactly one digit to the left of the decimal point would result in a fraction as an answer. We want the answer to have 1 digit left of the decimal point, so by scaling the operands to be 12. and 1.6, we get that result. Of course, the powers of 10 are adjusted accordingly.

This scaling process only matters if you're computing the results by hand. Any calculator can properly keep track of the required exponents.

__

"Back in the day" when slide rules were the calculating tool of choice, the operands and answer to any multiplication or division problem were only shown as 3 (sometimes 4) significant digits. All of the power-of-ten scaling was done "by hand" (usually, mentally). That is, the division would be 1225/1578 ≈ 776 × some scale factor. This is where thinking of the numbers as 12.25/1.578 = 7.76 comes in handy.

How can the growth in the chart best be described?

Answers

Chart are use to represent the visual outcome or status of a business, or an activity or even for any kind of reason as long as the data is complete and relevant. In addition to this, people you charts as a basis or a way of showing the growth of their work. Many people use it so that they can easily makes decision basing to what is the outcome they see in their charts.
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