Factorise fully 9x squared - 6xy

Answers

Answer 1
Answer: 3x(3x-2y) 

you have to find a common factor between the two numbers. in this case it's three, so you just divide each number by three.

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What is the domain of the function f (x) x-5/x^2-9

Answers

means the number you can use
remember we can't divide by zero
domain is x^2-9
set to zero to find values we can't use
x^2-9=0
x^2=9
x=+/-3

domain=all real numbers except -3 and 3

If B is the midpoint of AC, and AC = 8x-20, find BC.

Answers

Step-by-step explanation:

B is the midpoint of AC, where all 3 points are on the same line.

This means that AB = BC and AB + BC = AC, which is equals to 8x - 20.

Hence, BC = 0.5(8x + 20) = 4x + 10.

Which function has a range of {y|y ≤ 5}?f(x) = (x – 4)^2 + 5

f(x) = –(x – 4)^2 + 5

f(x) = (x – 5)^2 + 4

f(x) = –(x – 5)^2 + 4

Answers

range is ouput
testing limints
basically see the vertices
y=a(x-h)^2+k
(h,k) is vertex

also, when a is negative, graph opens down
when a is positive, graph opens up


y<5
k musbe 5

eliminate last 2

since less than, must open down
negative a
second one

f(x)=-(x-4)^2+5 is ansre

Answer:

f(x)=-(x-4)^2+5

Step-by-step explanation:

Desmos graphing calculator is a very good help for these type of graphing calculations.

Add and simplify 9/16 + 1/2= ?

Answers

when adding fractions, they should have the same denominator.
the denominators of the 2 fractions 9/16 and 1/2 are 16 and 2 respectively.
 to bring them both to the same denominator we can multiply both numerator and denominator of 1/2 by 8 and we get ---> 8/16.
(1*8)/(2*8) = (8)/(16)
then the 2 fractions are 9/16 and 8/16. Now we can add the 2 fractions. when denominator is same the numerator values shoud be added.

(9)/(16) + (8)/(16) = (17)/(16)
This is an improper fraction since 16/16 is 1 whole and 1/16 is remaining, simplified fraction = 1 1/16

The addition of  \frac{9}{{16}} +(1)/(2) is \boxed{\frac{{17}}{{16}}}.

Further explanation:

Given:

The expression is \frac{9}{{16}} + (1)/(2).

Explanation:

Consider the first fraction as \frac{9}{{16}} and consider the second fraction as (1)/(2).

To add the two fractions first we need to make the same denominator.

The denominator of the first fraction is 16.

The denominator of the second fraction is 2.

Multiply the numerator and denominator of the second fraction by 8.

\begin{aligned}{\text{Fraction}}&= (1)/(2) * (8)/(8)\n&= \frac{8}{{16}}\n\end{aligned}

Now the denominator of the second fraction is 16.

The second fraction is \frac{8}{{16}}.

Now add the fractions and simply.

\begin{aligned}{\text{Addition}}&=\frac{9}{{16}} + \frac{8}{{16}}\n&= \frac{{9 + 8}}{{16}}\n&= \frac{{17}}{{16}}\n\end{aligned}

The simplified or improper fraction of addition can be obtained as follows,

\begin{aligned}S&= \frac{{16 + 1}}{{16}}\n&=\frac{{16}}{{16}} + \frac{1}{{16}}\n&= 1 + \frac{1}{{16}}\n&= 1\frac{1}{{16}}\n\end{aligned}

The addition of  \frac{9}{{16}} + (1)/(2) is \boxed{\frac{{17}}{{16}}}.

Learn more:

1. Learn more about inverse of the functionbrainly.com/question/1632445.

2. Learn more about equation of circle brainly.com/question/1506955.

3. Learn more about range and domain of the function brainly.com/question/3412497

Answer details:

Grade: Middle School

Subject: Mathematics

Chapter: Fractions

Keywords: fraction, simplify, 9/16, 1/2, add, subtraction, denominators, numerators,

PLEASE HELP ill Mark BRAINLIEST 31 points too

Answers

Answer:(-1,7)

Step-by-step explanation:

Emily needs 5 cups of milk to make a vanilla milkshake.Should she buy a pint,a quart,or a gallon of milk?Explain your answer

Answers

Answer:

The correct answer is a gallon of milk

Step-by-step explanation:

From the given question, for Emily to make a vanilla milkshake, she need to buy a gallon of milk

This is because, if she buys a pint that will be same  to 2 cups, if she buys a quart is the same as  4 cups and the gallon 16 cups.the only solution here is having   more than 5 cups will result to  a gallon.the rest are very small to be considered.

a gallon becase if she buys a pint that will equal to 2 cups.and a quart is 4 cups and the gallon 16 cups.the only choice with more than 5 cups is a gallon.the rest are much too small.
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