Answer:
x = 1.155
x = -1.155
Step-by-step explanation:
4x² = x² + 4
i) move variable to the left-hand side and change its sign4x² - x² = 4
ii) collect like terms3x² = 4
iii) divide both sides of the equation by 3[tex] \frac{ {3x}^{2} }{3} = \frac{4}{3} [/tex]
[tex] {x}^{2} = \frac{4}{3} [/tex]
iv) take the square root to the opposite side of the equation and remember to use positive and negative roots[tex]x = + - \sqrt{ \frac{4}{ 3} } [/tex]
v) the equation has two solutions. write the solutions, one with a '+' sign and another with a '-' sign[tex]x = \sqrt{ \frac{4}{3} } \: or \: 1.155[/tex]
[tex]x = - \sqrt{ \frac{4}{3} } \: or - 1.155[/tex]
Point A is the incenter of DEF.
What is the value of n?
A. 7
B. 11
C. 14
D. 15
Answer:
B.11
Step-by-step explanation:
It's 27 degrees so,
3 times 11 is 33 and 33 - 6 is 27
Answer: Answer is B- 11
Step-by-step explanation: got it right on edge
PLEASE HELP ASAP
Which function has an inverse that is a function
Answer:
Options (1) and (3)
Step-by-step explanation:
Option (1)
f(x) = x²+ 3
We can rewrite the function in the equation form as,
y = x² + 3
By interchanging y by x,
x = y² + 3
Now we solve it for y,
y² = x - 3
y = ±√(x - 3)
So the inverse function is,
[tex]f^{-1}(x)=\pm \sqrt{x-3}[/tex]
It's a function.
Option 2
d(x) = -9
Equation form of the function is,
y = -9
Replacing y by x,
x = - 9
Therefore, inverse function will be,
x = -9
Inverse is not a function
Option 3
m(x) = -7x
Equation form of the function,
y = -7x
Interchanging y by x,
x = -7y
Now solve for x,
y = [tex]-\frac{1}{7}x[/tex]
So the inverse function will be,
[tex]m^{-1}(x)=-\frac{1}{7}x[/tex]
Inverse is a function.
Option 4
p(x) = |x|
As this function not a one to one function inverse function is not possible.
Inverse of |x| is not a function.
A weather reporter in your area said that the speed of sound in air today is about 1100 ft./s what is the speed in scientific notation
Answer:
1.1x10^3
Step-by-step explanation:
You divide by 10 until you get one digit on the left of the decimal, and however many times you divided by ten is the exponent that goes with the 10 in scientific notation.
7th grade math help me pleaseee :)
Answer:
answer of 2a)
He started with $24 and spent $16. Let a represent his account balance after he bought the notebook and pens. Then
24–16=a
His new account balance is $8.
He has $8 in his account and then he deposited b dollars. His account balance is now $28. Then
8+b=28
His deposited $20 in his account.
He has $28 and spent $34. Let c represent his account balance after he bought the book. Then
28–34=c
His new account balance is -$6.
He started with an account balance of -$6 and paid the debt off so his account balance is 0. If d is the amount money he deposited to pay off his debt, then
−6+d=0
He deposited $6.
answer of 2b)
If he spends more than he has in his account, then we are subtracting a bigger number from a smaller number, and the result is negative. ... The opposite of a positive number is a negative number, so it makes sense to represent his account balance with a negative number when he owes money to the bookstore.
please give me brainliest:))
ASAP PLZ HELP ME WILL MARK BRAINLIST
Answer:
Step-by-step explanation:
do the two small rectangle first. they are 2 by 8's meaning that one side is 16 and the other 16 (16+16=32)
Now for the big one which is a 6 by 6 (6*6=36)
add 36 + 32 and the area is 68
helpppppppppppp.......
Answer:
Step-by-step explanation:
Addition I think
Given f(x) = 6(1 − x), what is the value of f(−7)?
Answer:
[tex]{:}\longrightarrow\tt f (x)=6 (1-x)[/tex]
[tex]{:}\longrightarrow\tt f (-7)=6 (1-(-7))[/tex]
[tex]{:}\longrightarrow\tt f (-7)=6 (1+7)[/tex]
[tex]{:}\longrightarrow\tt f (-7)=6(8)[/tex]
[tex]{:}\longrightarrow\tt f (-7)=48 [/tex]
[tex]\therefore\sf f (-7)=48 [/tex]
Answer:
:⟶f(x)=6(1−x)
{:}\longrightarrow\tt f (-7)=6 (1-(-7)):⟶f(−7)=6(1−(−7))
{:}\longrightarrow\tt f (-7)=6 (1+7):⟶f(−7)=6(1+7)
{:}\longrightarrow\tt f (-7)=6(8):⟶f(−7)=6(8)
{:}\longrightarrow\tt f (-7)=48:⟶f(−7)=48
\therefore\sf f (-7)=48∴f(−7)=48
one more ferda yk +100 cause i love you
i love you too thank u soo much ill do the same
Which graph represents the solution set of the inequality x+2>6?
Answer: 2 to last
Step-by-step explanation:
Solve this help me
It is the question of class 10 Maths
Answer:
[tex]x = \left ( \dfrac{ \left (3 ^{\frac{2}{3} } + 1 \right ) ^2}{3 ^{\frac{2}{3} } } \right )^{\frac{1}{2} } =\dfrac{ 3 ^{\frac{2}{3} } + 1 }{3 ^{\frac{1}{3} } }[/tex]
[tex]\dfrac{9 \cdot x + 10}{3} = \left ( \dfrac{ 3 ^{\frac{2}{3} } + 1 }{3 ^{\frac{1}{3} } } \right )^3 } = x^3[/tex]
Therefore;
[tex]x = \sqrt[3]{\dfrac{9 \cdot x + 10}{3}}[/tex]
Step-by-step explanation:
Given that we have;
[tex]x^2 - 2 = 3 ^{\frac{2}{3} } + 3 ^{-\frac{2}{3} }[/tex]
[tex]x^2 = 3 ^{\frac{2}{3} } + 3 ^{-\frac{2}{3} } + 2 = \dfrac{3 ^{\frac{4}{3} } + 1 + 2 \times 3 ^{\frac{2}{3} }}{3 ^{\frac{2}{3} } } = 3 ^{-\frac{2}{3} } \times \left ( 3 ^{\frac{4}{3} } + 1 + 2 \times 3 ^{\frac{2}{3} } \right )[/tex]
[tex]x^2 = 3 ^{-\frac{2}{3} } \times \left ( 3 ^{\frac{4}{3} } + 1 + 2 \times 3 ^{\frac{2}{3} } \right )[/tex]
[tex]x = 3 ^{-\frac{1}{3} } \times \left ( 3 ^{\frac{4}{3} } + 1 + 2 \times 3 ^{\frac{2}{3} } \right )^{\frac{1}{2} }[/tex]
[tex]x = \sqrt{ \dfrac{3 ^{\frac{4}{3} } + 1 + 2 \times 3 ^{\frac{2}{3} }}{3 ^{\frac{2}{3} } } } = \left ( \dfrac{3 ^{\frac{4}{3} } + 1 + 2 \times 3 ^{\frac{2}{3} }}{3 ^{\frac{2}{3} } } \right )^{\frac{1}{2} }[/tex]
[tex]x = \sqrt{ \dfrac{3 ^{\frac{4}{3} } + 1 + 2 \times 3 ^{\frac{2}{3} }}{3 ^{\frac{2}{3} } } } = \left ( \dfrac{3 ^{\frac{4}{3} } + 1 + 2 \times 3 ^{\frac{2}{3} }}{3 ^{\frac{2}{3} } } \right )^{\frac{1}{2} } = \left ( \dfrac{3 ^{\frac{4}{3} } + 2 \times 3 ^{\frac{2}{3} } + 1}{3 ^{\frac{2}{3} } } \right )^{\frac{1}{2} }[/tex]
[tex]x = \sqrt{ \dfrac{3 ^{\frac{4}{3} } + 1 + 2 \times 3 ^{\frac{2}{3} }}{3 ^{\frac{2}{3} } } } = \left ( \dfrac{3 ^{\frac{4}{3} } + 2 \times 3 ^{\frac{2}{3} } + 1}{3 ^{\frac{2}{3} } } \right )^{\frac{1}{2} } = \left ( \dfrac{ \left (3 ^{\frac{2}{3} } + 1 \right ) ^2}{3 ^{\frac{2}{3} } } \right )^{\frac{1}{2} }[/tex]
[tex]x = \left ( \dfrac{ \left (3 ^{\frac{2}{3} } + 1 \right ) ^2}{3 ^{\frac{2}{3} } } \right )^{\frac{1}{2} } =\dfrac{ 3 ^{\frac{2}{3} } + 1 }{3 ^{\frac{1}{3} } }[/tex]
[tex]\dfrac{9 \cdot x + 10}{3} = 3 \cdot x + \dfrac{10}{3} = 3 \times \dfrac{ 3 ^{\frac{2}{3} } + 1 }{3 ^{\frac{1}{3} } } +\dfrac{10}{3} = \dfrac{ 3 ^{\frac{5}{3} } + 3 }{3 ^{\frac{1}{3} } } + \dfrac{10}{3}= \dfrac{ 3 ^{\frac{7}{3} } + 3 ^{\frac{2}{3} }\times3+ 10 }{3 } } }[/tex]
[tex]\dfrac{9 \cdot x + 10}{3} =\dfrac{ 3 ^{\frac{7}{3} } + 3 ^{\frac{2}{3} }\times3+ 10 }{3 } } } = \dfrac{ 3 ^{\frac{7}{3} } + 3 ^{\frac{5}{3} }+ 10 }{3 } } } = \left ( \dfrac{ 3 ^{\frac{2}{3} } + 1 }{3 ^{\frac{1}{3} } } \right )^3 } = x^3[/tex]
Therefore;
[tex]x^3 = \dfrac{9 \cdot x + 10}{3}[/tex]
[tex]x = \sqrt[3]{\dfrac{9 \cdot x + 10}{3}}[/tex]
Why does -30 - - 50 equal 20? What steps are being done?
Answer:
Step-by-step explain
1. 30-50=20
2. Two negatives equal a positive
So first you subtract 30 by 50 and get 20 then you look at the signs which are both negative. Meaning both of the negative signs become a positive. (-30)-(-50)=20
Bob invited 11 friends to his birthday party. He and his friends each ate two pieces of pizza. If they were eight slices in each whole pizza, how many whole pizzas do they fit in all?
Answer:
3 whole pizzas required.
Step-by-step explanation:
Given that:
Total number of friends invited by Bob = 11
Total number of people on the birthday party = 11 friends + 1 Bob himself = 12
Each friend has eaten = 2 pieces of pizza
Number of slices in one whole pizza = 8
To find:
Number of whole pizzas required at the birthday party.
Solution:
First of all, let us find the number of slices required for the birthday party.
Number of slices of pizza required for the birthday party = Number of slices eaten by each person multiplied by number of persons at party.
Number of slices of pizza required for the birthday party = 12 [tex]\times[/tex] 2 = 24
Now, let us divide the total number of slices with the number of slices in one whole pizza to find the total number of whole pizzas required for the party.
Number of whole pizzas required:
[tex]\dfrac{24}{8} = \bold{3}[/tex]
Solve for x:[tex]\frac{9}{x}= \frac{x}{16}[/tex]
A.144
B.12
C.24
D.18
-3(4x2)-2x please also show your work
Answer:
-24 - 2x
Step-by-step explanation:
-3(4x2)-2x
-3(8) - 2x
-24 - 2x
Help! I literally don't understand any of this
Answer:
32 has exponent of 3
55 has exponent of 2
Step-by-step explanation:
Find Mack's debt-to-income ratio if his monthly expenses are $2850 and his monthly salary is $4000
Pls help mee
Will give brain if u show a little bit of work !!!!
Answer:
$1,120
Step-by-step explanation:
Lenders prefer to see a debt-to-income ratio smaller than 36%, with no more than 28% of that debt going towards servicing your mortgage. 12 For example, assume your gross income is $4,000 per month. The maximum amount for monthly mortgage-related payments at 28% would be $1,120 ($4,000 x 0.28 = $1,120).
A classroom measures 14 meters by 7 meters by 3.5 meters. How many cube meters of air are in the room?
Answer:
343 cube meters of air
16 oz of trail mix costs $3.20. What is the cost per ounce?
Answer:
You divide $3.20 by 16, and this gives you 0.2- therefore, the trail mix costs $0.20 pr ounce.
Here are 5 lines on a coordinate grid:
Write equations for lines:
Answer:
A linear relationship can be written as:
y = a*x + b
where a is the slope and b is the y-axis intercept.
For a line that passes through the points (x1, y1) and (x2, y2), the slope can be written as:
a = (y2 - y1)/(x2 - x1).
For the particular case of horizontal lines, those will be of the form:
y = constant.
The vertical lines will be of the form:
x = constant.
Let's start with line a, this is a vertical line, then will be:
x = constant.
To see the value of the constant, you need to see in which point it intersects the x-axis, in this case is in -4, then line a will be:
x = -4
For line b we have the same reasoning, in this case the line intersects the x-axis at x = 4, then line b is: x = 4.
Now for the horizontal lines:
Line c will be of the form:
y = constant
To find the value of the constant you need to see in which point the line intersects the y-axis.
In this case the line intersects the axis at y = 4.
Then this line can be written as: y = 4
For line d, we can see that it intersects the y-axis at -2, then this line will be written as:
y = -2.
For the case of line e we can use the first thing we wrote, let's find two points that belong to this line.
(0 , 1) and (4, -2)
Then the slope will be:
a = (-2 - 1)/(4 - 0) = -3/4
y = -(3/4)*x + b
To find the value of b, we can just replace the values of one of the points in the equation. I will use the point (0, 1), this means that we must replace x by 0, and y by 1.
1 = -(3/4)*0 + b
1 = b
Then the equation for line e is:
y = -(3/4)*x + 1.
The total cost of renting a movie for different numbers of days is shown in the table.
Which equation was used to create this table?
Movie Rentals
Total Cost,
Number of Days, d
(in dollars)
1
3
2
4
5
7
2
10
12
C = 20
d = 20
C = 2 +
d = 2 +
Answer:C
Step-by-step explanation:
PLEASE ANSWER ASAP WILL GIVE BRAINLIEST.
A function is represented by the graph.
Complete the statement by selecting from the drop-down menu.
The y-intercept of the function y=−2x+8 is
Choose... greater than less than or equal to
the y-intercept of the function represented in the graph.
Answer:
equal to
Step-by-step explanation:
The y intercept is when x = 0.
In the function y=-2x+8, when x=0, y=8.
In the graph, when x=0, y=8. You can see on the x axis 0 is in the middle, and if you move up the y axis, you see the line intersects y=8.
Thus both have the same y intercepts of 8.
please give thanks :)
hope this helps
Answer:
equal to
Step-by-step explanation:
i took the test on k-12 and i got it correct.
Hi, i need help please.
Answer:
k
Step-by-step explanation:
rearrange the like terms. final answer is the second one im pretty sure
Is it possible for a triangle to have the side lengths 15, 9, 11? Explain
your reasoning
Answer:
ANSWER: No; 11. SOLUTION: The sum of the lengths of any two sides of a triangle must be greater than the length of the third side
Step-by-step explanation:
Answer:
yes
Step-by-step explanation:
11 is more than 6 and less than 24
9 is more than 4 and less than 26
15 is more than 2 and less than 20
Find the solutions of (x - 7)(x + 12) = 0.
Answer:
x=7,-12
Step-by-step explanation:
Answer:
Step-by-step explanation:
[tex]x^{2} +12x-7x-84=0[/tex]
[tex]x^{2} +5x-84[/tex]=0T
tIENES QUE REALIZAR ESTA FÓRMULA:
[tex]te lo explico en los comentarios que aqui cuesta escribir\\[/tex] I
helpppp ahhhhhhh plz
Answer:
It's Parallel
Step-by-step explanation:
Perpendicular have to intersect
Whats the answer???????
Answer:
The answer is D
Step-by-step explanation:
WILL MARK BRAINLIEST! PLEASE HELP!
(please try to show your work)
A pizzeria offers toppings of mushrooms, sausage, onions, onions olives, and peppers. How many different ways can a pizza be made, using anywhere from 0 to 5 toppings?
Lin has a drawing with an area of 18 square inches. If she increases all the sides by a scale factor of 3, what will the new area be? square inches.
Answer:
2/3
Step-by-step explanation:
the slope of a line is equal to the rise/run. in this case the line rises 2 units for every +3 units it moves
sry if wrong but i hope it helps
A cake recipe calls for 1.5 cups of milk and 3 cups of flower. Seth made a mistake and used 5 cups of flour. How many cups of milk should he use to keep the proportions correct?
Answer:
2.5 cups of milk
Step-by-step explanation:
Given that,
A cake recipe calls for 1.5 cups of milk and 3 cups of flower.
Seth made a mistake and used 5 cups of flour.
We need to find number of cups of milk he use to keep the proportions correct. Let he used x cups of milk.
[tex]\dfrac{1.5}{3}=\dfrac{x}{5}\\\\x=\dfrac{1.5\times 5}{3}\\\\x=2.5[/tex]
Hence, he should use 2.5 cups of milk.
what number makes the equation true? 6 equals 30 divided
Answer: 5
Step-by-step explanation:
This question is basically asking:
6 = 30 ÷ ?
We can use a fact family to find the value.
30 ÷ 6 = 5
The answer is 5.
