MATHEMATICS HIGH SCHOOL

Y=6x
Y=5x+7
How do you solve this

Answers

Answer 1
Answer: subsitute 6x for y since they are equal
6x=5x+7
subtract 5x form both sides
6x-5x=5x-5x+7
x(6-5)=x(5-5)+7
x(1)=x(0)+7
x=0+7

x=7
subsitute 7 for x
6(7)=y
42=y

x=7
y=42 the answer to the universe
Answer 2
Answer:


the answer to your question is 0.14 recurring

to solve this problem you must first learn about indices when u have a number with x in the back of it you must times the number by how much it is and when u have a next alphabet across of the equal sign it is always 1 and if u divide 6 into 1 you will get 0.14 recurring 

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p=(33)/(28+62+33) gives the result in decimals. If you want percents, you could multiply the result by 100.

How do you solve the following exponential equation by expressing each power of the same base and then equating the exponents?6^x-3/4= square rot of 6

Answers

Start by switching everything into exponent form: 6^(x-3/4)=6^(1/2). In this equation, we're trying to find the value of x that will make each side equal. Because the base (6) is the same on either side of the equal sign, all we need to worry about is the exponents, because this equation can only be true if the exponents are the same (i.e. 6^(1/2)=6^(1/2)). Thus, you can actually ignore the 6's entirely and only focus on the exponents: x-3/4=1/2. Then, this has just become a simple algebraic expression. x-3/4+3/4=1/2+3/4. x=1/2(2/2)+3/4. x=2/4+3/4. x=5/4
6^{x-\tfrac{3}{4}}=√(6)\n6^{x-\tfrac{3}{4}}=6^{\tfrac{1}{2}}\nx-(3)/(4)=(1)/(2)\nx=(1)/(2)+(3)/(4)\nx=(2)/(4)+(3)/(4)\nx=(5)/(4)

What is the domain of the function y=10-5x

Answers

Any real number (-inf, inf)
Domain of definition of a function is the set of numbers which the variable attains and for which the function is defined.

f(x) = sqrt (5x-10)

here x can have value equal to any real number >=2 because if x attains value less that 2, 5x-10 becomes negative and sqrt(5x-10) has no real value.

therefore the domain of the function f(x) is (2, infinity) inclusive of 2.

if Cory is at the elephant and he walks 8 units up and 4 units right, where would he land? What are his new coordinates?

Answers

Answer: The new coordinates are (-2, 7)

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Reasoning:

The elephant is at location (-6,-1)

Move 8 units up and we move to (-6,7). Add 8 to the y coordinate while keeping the x coordinate the same.

Then we move 4 units to the right to arrive at (-2, 7). I added 4 to the x coordinate and kept the y coordinate the same.

There are no animals at this location, but Cory is between the giraffe and the deer. In other words, if you draw a line segment from the giraffe to the deer, then Cory's new location is on this line segment. He is closest to the giraffe.

Need help with middle two questions... I’ll give points

Answers

Answer:

ok sorry i could not put this into a formula im have to go but i will show you a really easy way.

Step-by-step explanation:

for number 1 i got (7,-1)

This is because there is a slope of 1/1 between these two points. so i plotted the two points on the graph. The distance between the two points is 4. so i followed the slope 4 times and thats what i got.

The correct way for doing number 1 is using the distance formula i believe but im running out of time

for the second one i got  (3, -1/2)

we do this by using the midpoint formula.

The first picture is for number one and the second for number 2

if you have any questions feel free to ask in the comments

7 times the difference of a number and 3.2 is 8.4.

Answers

because subtraction comes before multiplication on the order of operations we have to put in parenthasis in this problem.

(x-3.2) is what we have so far.

then we multiply it by 7

so 7(x-3.2)=8.4
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