Answer:
Step 1 : First, solve one linear equation for y in terms of x .
Step 2 : Then substitute that expression for y in the other linear equation. ...
Step 3 : Solve this, and you have the x -coordinate of the intersection.
Step 4 : Then plug in x to either equation to find the corresponding y -coordinate.
Step-by-step explanation:
These are all of the steps
compute (5 2/3)^2-(4 1/3)^2
Answer:
40/3
Step-by-step explanation: If you have a calculator type in (5 2/3)^2-(4 1/3)^2. To get 40/3. So in short, square (5 2/3)^2 to get 289/9 and square (4 1/3)^2 to get 169/9. Then subtract the two 289/9-169/9 to get 40/3.
Write a real-world problem that can be solved using the equation:
7.5 + x = 16
PLEASE HELP ME
Answer:
8.5
Step-by-step explanation:
7.5 + 8.5 = 16
What would you drink to survive a extra 30 years?
A. Lean
B. Orange Juice
C. Mug
What is the AREA of the figure
The white board in the classroom is 12 feet high and has a perimeter of 84. HOw wide is the white board?
Answer:
A formula is a method that has been proven to work when solving specific types of problems.
Step-by-step explanation:
Complete the square to transform the expression x2 4x 2 into the form a(x − h)2 k. (x 2)2 − 2 (x 2)2 2 (x 4)2 − 2 (x 4)2 2.
The square transforms the expression [tex]\rm x^{2} +4x + 2^{2}[/tex] into the form [tex](x+2)^2-2[/tex].
What is a quadratic equation?A quadratic equation is the second-order degree algebraic expression in a variable. the standard form of this expression is ax² + bx + c = 0 where a. b are coefficients and x is the variable and c is a constant.
write in the form of [tex](x+y)^{2}[/tex]
[tex]\rm x^{2} +2xy + y^{2}[/tex]
2y = 4
y = 2
so, [tex]\rm x^{2} +4x + 2^{2}[/tex]
we will now convert it into the form
[tex]\rm x^{2} +2xy + y^{2}[/tex] = [tex]\rm (x+y)^{2}[/tex]
substitute the values
[tex]\rm x^{2} +4x + 2^{2} = (x+2)^{2}[/tex]
[tex](x+2)^2-2+2^2[/tex]
[tex](x+2)^2-2[/tex]
Thus, [tex](x+2)^2-2[/tex] is the correct form.
Learn more about a quadratic equation here:
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A wooden block has a mass of 55 grams, correct to the nearest gram. A) Find the least possible mass of the wooden block. B) The volume of the wooden block is 19cm3, correct to the nearest cubic centimetre. Find the greatest possible mass of 1 cubic centimetre of the wood.
Answer:
A) 54.5g, B) 1.4g
Step-by-step explanation:
Find the lower bound of 55 and the upper bound of the cubed root of 1. the cubed root of 1 is 1 and the upper bound of that is 1.4
What are the solution(s) for the quadratic equation?
Y=x^2-2x+1
[tex]\\ \rm\rightarrowtail x^2-2x+1=0[/tex]
[tex]\\ \rm\rightarrowtail x^2-x-x+1=0[/tex]
[tex]\\ \rm\rightarrowtail x(x-1)-1(x-1)=0[/tex]
[tex]\\ \rm\rightarrowtail (x-1)(x-1)=0[/tex]
[tex]\\ \rm\rightarrowtail x=1[/tex]
can someone help me with this please
Answer:
40 ft^2
Step-by-step explanation:
Composite shapes make a square and rectangle
4 x 4 = 16
6 x 4 = 24
24 + 16 = 40
Answer:
24 unless my mind died
Step-by-step explanation:
8+16 :D
3
14) There are seven million, eight hundred and fifty-four thousand,
three hundred and eight people in a country. i lleda
Round this number to the nearest ten thousand people.
Answer:
7,854,000
because the 308 people would have to be at least 500 to round up to 7,855,000
Which ordered pair is a solution to the following system of inequalities?
y ≤ –x2 + 5x
y > x2 – 4
(–1, –1)
(0, 2)
(2, 5)
(4, 1)
Verifying the conditions, it is found that ordered pair (2,5) is a solution to the given system of inequalities.
What is the system of inequalities?As stated in the problem, it is modeled by:
y ≤ –x2 + 5x
y > x2 – 4
For ordered pair (-1,-1), we have that:
y ≤ –x2 + 5x
-1 ≤ –(-1)2 + 5(-1)
-1 ≤ -6
Which is false.
For ordered pair (0,2), we have that:
y ≤ –x2 + 5x
2 ≤ –(0)2 + 5(0)
2 ≤ 0
Which is false.
For ordered pair (2,5), we have that:
y ≤ –x2 + 5x
5 ≤ –(2)2 + 5(2)
2 ≤ 6
Which is true.
y > x² - 4
5 > 2² - 4
5 > 0
Which is true.
Hence ordered pair (2,5) is a solution to the given system of inequalities.
More can be learned about a system of inequalities at https://brainly.com/question/9774970
Answer:
the third option (2,5)
Step-by-step explanation:
I just took the test:)
hello, please answer the question, please show work
Which value should she use as the common ratio?
0.05
0.5
1.05
5.0
Answer:
0.5
Step-by-step explanation:
0.5
I guess i am 70% sure
ANY MATH EXPERTS PLEASE HELP ASAP I WILL GIVE BRAINLIEST PLEASE HELP
Step-by-step explanation:
i answered this one already as well.
Find the domain over which the function y = x^2 +6x is mono tonic increasing. Please help
Answer:
x > -3
Step-by-step explanation:
The function will be increasing where its derivative is positive.
__
y = x^2 +6x . . . . . given function
y' = 2x +6 . . . . . . . derivative
The derivative is positive for ...
2x +6 > 0
2x > -6
x > -3 . . . . . domain where the function is increasing
Is this equation an identity? (2x+1)^2-(x+1)^2=3(x+1)^2-1
Answer:
See below, please
Step-by-step explanation:
Left side
[tex] {(2x + 1)}^{2} - {(x + 1)}^{2} [/tex]
[tex] = (4 {x}^{2} + 4x + 1) - ( {x}^{2} + 2x + 1)[/tex]
[tex] = (4 {x}^{2} - {x}^{2} ) + (4x - 2x) + (1 -1 )[/tex]
[tex] = 3 {x}^{2} + 2x[/tex]
Right side
[tex]3 \times {(x + 1)}^{2} - 1[/tex]
[tex] = 3 \times ( {x}^{2} + 2x + 1) - 1[/tex]
[tex] = 3 {x}^{2} + 6x + 3 - 1[/tex]
[tex] = 3 {x}^{2} + 6x + 2[/tex]
After compared with both sides, we can make a conclusion that
This equation isn't an identity.
HELP ME PLEASE
I HATE THE BOTS
How many times more is 2 ^ 10 than 2^ 6
Answer Choices
12
16
8
Answer:
16
Step-by-step explanation:
Evaluate the two in order to compare them.
2^10=2*2*2*2*2*2*2*2*2*2=1024
2^6=2*2*2*2*2*2=64
The question says how many more TIMES. This tells us that we need to see how many times does 64 go into 1024. To do this, divide 1024/64=16
The answer is 16! Hope this helps ^^
Question 5
0.2 pts
A pizza shop that sells pízza by the slice will let you buy the left overs of each pizza. Lily
selects 5 pizzas that are 2/3 of a whole pizza.
How many WHOLE pizzas does Lily end up having? Explain the strategy you used to get
your solution
Edit View Insert Format Tools Table
12ptParagraph
В І САУ руту
:
Answer:3 1/3 pizza in total but 3 whole pizzas
Step-by-step explanation:
if you add 2/3+2/3+2/3+2/3+2/3 you get 3 1/3 but its asking how many whole pizzas their are so 3.
os
10. What is the slope of the line that passes through the pair of points? (1 point)
(-2, 1), (2, 17)
4
O 17
0-15
04
04
Answer:
[tex]\boxed{\sf{4}}}[/tex]
Step-by-step explanation:
Use a slope form.
Slope:
[tex]\sf{\dfrac{y_2-y_1}{x_2-x_1}=\dfrac{rise}{run} }[/tex]
y₂ = (17)
y₁ = (1)
x₂ = (2)
x₁ = (-2)
Then, rewrite the problem.
Solve.
[tex]\sf{\dfrac{17-1}{2-(-2)}=\dfrac{16}{4}=\dfrac{16\div4}{4\div4}=\dfrac{4}{1}=\boxed{\sf{4} }[/tex]
Therefore, the slope is 4, which is our answer.
I hope this helps you! Let me know if my answer is wrong or not.
Suppose $a(x) = 3x - 7$ and $b(x) = 2 - x^3$. What is the value of $a(b(3)) - b(a(3))$?
Answer:
-76
Step-by-step explanation:
b(3)=2-3^3 = -25.
So a(b(3))=a(-25)=3(-25)-7=-82.
a(3)=3(3)-7=2.
So b(a(3))=2-2^3 = -6.
Therefore, the value of the desired expression is -82-(-6)=-76
The value of the required function [tex]a(b(3)) - b(a(3))[/tex] is (-88).
What is a function?
"A function is a process or a relation that associates each element 'a' of a non-empty set A , at least to a single element 'b' of another non-empty set B. A relation f from a set A (the domain of the function) to another set B (the co-domain of the function) is called a function in math. f = {(a,b)| for all a ∈ A, b ∈ B}
A relation is said to be a function if every element of set A has one and only one image in set B.
A function is a relation from a non-empty set B such that the domain of a function is A and no two distinct ordered pairs in f have the same first element."
Given two functions are:
[tex]a(x) = 3x - 7\\b(x) = 2 - x^{3}[/tex]
When the value of 'x' is 3, then the values of the given two functions are:
[tex]a(3) \\= 3x - 7\\= 3(3)-7\\= 9-7\\= 2[/tex]
[tex]b(3)\\= 2 - x^{3}\\= 2-(3)^{3}\\= 2-27\\= -25[/tex]
Now the value of the required function is:
[tex]a(b(3)) - b(a(3))\\= a(-25)-b(2)\\= [3(-25)-7]-[2-2^{3}]\\= (-75-7)-(2-8)\\= -82-6\\= -88[/tex]
Therefore, the value of the required function is (-88).
Learn more about a function here:
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calculate the value of s and t
Answer:
s = 4, t = 1.2.
Step-by-step explanation:
y = k/x (Inverse variation, k is some constant)
Substituting:
2 = k/3
k = 2*3 = 6
So the relation is y = 6/x.
So 1.5 = 6/s
s = 6/1.5 = 4.
t = 6/5 = 1.2.
The surface area of a cube is 294 square inches. What is the length of a lateral edge?
Answer:
7 inches
Step-by-step explanation:
The surface area of a cube is denoted by: A = 6s², where s is the side length.
Here, we know that A = 294, so plug this into the formula to solve for s:
A = 6s²
294 = 6s²
s² = 49
s = √49 = 7
Thus, the answer is 7 inches.
A customer buys three packets of cookies that
cost $0.55 each and a packet of pasta that costs $6.92
She gives the shop assistant $20
How much change should she receive?
10. deshawn installs a shelf bracket. what is the
widest shelf that will fit without overhang?
explain.
When Deshawn installs a shelf bracket, the width of the shelf that will fit without overhang will be 3 inches.
How to calculate the width?From the complete information, the other two sides have been given as 4 inches and 5 inches.
The Pythagoras theorem will be used in this case and it goes thus:
4² + Width² = 5²
Width² = 5² - 4²
Width² = 25 - 16
Width² = 9
Width = ✓9
Width = 3
In conclusion, the width is 3 inches.
Learn more about width on:
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In ΔJKL, the measure of ∠L=90°, KJ = 41, JL = 40, and LK = 9. What ratio represents the cosine of ∠J?
What is the area of this figure?
Answer:
Step-by-step explanation:
Answer:
140.5 square yards
Step-by-step explanation:
split the triangle from the shape: 8+7=15yd
area of triangle = 1/2 x base x height
= 1/2 x 5 x 15
=37.5 square yards
split the rectangle from the shape: 7+2=9yd
area of rectangle = length x width
= 11 x 9
= 99 square yards
split the square from the shape
area of square = n squared
= 2^2
= 4 square yards
add them all up: 37.5+99+4
= 140.5 square yards is the final answer
my bad if you can't read the working out in the picture
Please Hurry! I will award the first person right the brainlyest award
Answer:
y = -3
Step-by-step explanation:
When you graph it on a graphing calculator or on desmos, it appears to be at y = -3
What is 7 1/3 x 2/5?
Math
Answer:
Step-by-step explanation:
you would multiply the fractions
then you would add the hole number
Answer:
2 14/15
Step-by-step explanation:
-7i x -1
I just need to multiply these 2 numbers but i forgot how to
use the distributive property to write an equivalent expression to each of the following
(-4x +(2x)
Hey there!
(-4x + (2x)
= -4x + 2x
COMBINE the LIKE TERMS
= (-4x + 2x)
= -4x + 2x
= -2x
Therefore, your answer is: -2x
Good luck on your assignment & enjoy your day!
~Amphitrite1040:)