Answer:
a
Step-by-step explanation:
Answer:
[tex]\large\boxed{A.\ x=-\dfrac{2}{5}}[/tex]
Step-by-step explanation:
[tex]\dfrac{2}{3}(x-2)=4x\qquad\text{multiply both sides by 3}\\\\3\!\!\!\!\diagup^1\cdot\dfrac{2}{3\!\!\!\!\diagup_1}(x-2)=(3)(4x)\\\\2(x-2)=12x\qquad\text{divide both sides by 2}\\\\\dfrac{2\!\!\!\!\diagup^1(x-2)}{2\!\!\!\!\diagup_1}=\dfrac{12\!\!\!\!\!\diagup^6x}{2\!\!\!\!\diagup_1}\\\\x-2=6x\qquad\text{subtract}\ x\ \text{from both sides}\\\\x-x-2=6x-x\\\\-2=5x\qquad\text{divide both sides by 5}\\\\\dfrac{-2}{5}=\dfrac{5\!\!\!\!\diagup^1x}{5\!\!\!\!\diagup_1}\\\\-\dfrac{2}{5}=x\to x=-\dfrac{2}{5}[/tex]
PLEASE HELP! ILL MARK BRAINLIEST!
Describe how to transform the graph of f into the graph of g. f(x) = x^4 and g(x) = -(-x)4
Reflect the graph of f across the x-axis and then reflect across the y-axis.
Shift the graph of f down 1 unit.
Reflect the graph of f across the x-axis.
Reflect the graph of f across the y-axis.
Answer:
Reflect the graph f(x) across the x axis to obtain the graph g(x).
its c
Step-by-step explanation:
following the accepted steps you would first reflect the graph across the y axis due to the negative sign within the function, then you would reflect the result across the x axis due to the negative sign outside of the function.
In practice however you only need to reflect across the x axis as -(-x)^2 simplifies to -x^2
Solve for m.
m - 5= √49
A.m=2
B.m=7
C.m=12
D.m=35
Answer:
C
Step-by-step explanation:
The square root of 49 equals 7
This equation can be rewritten as m-5=7
m-5=7
1) add 5 to both sides:
m=12
Nothing else can be done so m=12 is your final answer (c)
Which of the following properties can be used to show that the expression 4^5/3 is equivalent to ^3√4^5
Answer: First option.
Step-by-step explanation:
For this exercise it is importnatn to to remember the properties that are shown below:
1) [tex]a^\frac{1}{n}=\sqrt[n]{a}[/tex]
2) [tex](a^m)^n=a^{(mn)}[/tex]
Therefore, given the following expression provided in the exercise:
[tex]\sqrt[3]{4^5}[/tex]
You can apply the properties mentioned before, in order to find an equivalent expression.
Therefore, you get:
[tex]\sqrt[3]{4^5}=(4^5)^{\frac{1}{3}}=4^{\frac{5*1}{3}}=4^{\frac{5}{3}}[/tex]
Then the answer is the first option.
Answer:
[tex]\sqrt[3]{4^5}=(4^5)^{\frac{1}{3}}=4^{\frac{5}{3}}[/tex]
Option 1 and Option 3 is correct
Step-by-step explanation:
Given: [tex] 4^{\frac{5}{3}}=\sqrt[3]{4^5}[/tex]
This is exponent to radical change property.
The fraction exponent write as radical.
[tex]a^{\frac{m}{n}}=\sqrt[n]{a^m}[/tex]
Option 1: Radical to exponent[tex]\sqrt[3]{4^5}=(4^5)^{\frac{1}{3}}=4^{\frac{5}{3}}[/tex]
True
Option 2: Addition of exponent if base is same.[tex]4^{\frac{8}{3}}\cdot 4^{\frac{7}{3}}=4^{{\frac{8}{3}+\frac{7}{3}}=4^5[/tex]
False
Option 3: Multiply exponent to exponent, TrueOption 4: Division property of exponent, FalseDerive the equation of the parabola with a focus at (−2, 4) and a directrix of y = 6. Put the equation in standard form.
f(x) = one fourthx2 − x + 4
f(x) = −one fourthx2 − x + 4
f(x) = one fourthx2 − x + 5
f(x) = −one fourthx2 − x + 5
Answer:
B
Step-by-step explanation:
From any point (x, y) on the parabola the focus and directrix are equidistant.
Using the distance formula
[tex]\sqrt{(x+2)^2+(y-4)^2}[/tex] = | y - 6 |
Squaring both sides
(x + 2)² + (y - 4)² = (y - 6)² ← distributing
x² + 4x + 4 + y² - 8y + 16 = y² - 12y + 36 ( subtract y² - 12y + 36 from both sides )
x² + 4x + 4 + 4y - 20 = 0 ( subtract x² + 4x + 4 from both sides )
4y - 20 = - x² - 4x - 4 ( add 20 to both sides )
4y = - x² - 4x + 16 ( divide through by 4 )
y = - [tex]\frac{1}{4}[/tex] x² - x + 4, that is
f(x) = - [tex]\frac{1}{4}[/tex] x² - x + 4 → B
Answer:
Option B
Step-by-step explanation:
Given that a parabola has a focus at (−2, 4) and a directrix of y = 6.
We have to find the equation of the parabola in std form
We know that a parabola is a conic section in which all points are equidistant from the focus and vertex.
Let (x,y) be any point on the parabola
Distance of (x,y) from the focus =[tex]\sqrt{(x+2)^2+(y-4)^2}[/tex] ...i
Distance of (x,y) from directrix = difference in y coordinate = [tex]|y[-6|[/tex]...ii
Since i = ii, square and equate both
[tex](x+2)^2+(y-4)^2=(y-6)^2\\x^2+4x+4 -8y+16 = -12y+36\\4y=-x^2-4x+16\\y = \frac{-1}{4} d^2-x+4[/tex]
Hence option B is right.
write 0.00052 in scientific notation.
The number 0.00052 in standard form can be written as 5.2 × 10⁻⁴ in scientific notation.
Given that:
The number 0.00052 is given in the standard form.
This has to be converted into the scientific notation.
Scientific notation is the notation of writing smaller numbers or larger numbers as the product of an integer from 1 to 10 and the power of 10 is raised to positive or negative power.
Here, the number is very small.
So, the power of 10 is negative.
Here, the integer is 5.2.
The decimal point has to be shifted 4 places to the left.
So, the power of 10 is -4.
Hence, the number can be written as 5.2 × 10⁻⁴.
Learn more about Scientific Notations here :
https://brainly.com/question/16936662
#SPJ6
1) What is the value for the digit 8 in the given number?
38.165.0479
Answer:
The value of the 8 in the number 38.165.0479 is 8 ones
I am joyus to assist anytime i can :)
The estimated answer to a multiplication problem is 800,000. Which of the following expressions could result in this answer? Explain how you know.
8,146 x 12
81,467 x 121
8,146 x 121
81,477 x 1,217
Answer:
8,146 x 121
Step-by-step explanation:
This is a problem in which you need to measure your understading of "orders of magnitude."
If the estimated answer is [tex]800000[/tex] that means that we are looking at a multiplication in the "order of" [tex]8*10^5[/tex]
You need to look at the "orders of magnitude" of the things you're multiplying. In the first case, we have [tex]8146*12[/tex] that would be "of the order of" [tex]8*10^3[/tex] times [tex]10^1[/tex]. So the whole multiplication would "of the order of" [tex]8*10^4[/tex] or near [tex]80000[/tex]
The correct answer, 8,146 x 121, is because it's "of the order of" [tex]8*10^3[/tex] times [tex]10^2[/tex] and the gives us the [tex]8*10^5[/tex] we need.
Answer:
Step-by-step explanation:
88
Reduce the fractions 32/68,22/28, and
21/49
32/68- divide by 4 . 32/4=8, 68/4=17
22/28- divide by 2. 22/2=11, 28/2=14
21/49- divide by 7. 21/7=3, 49/7=7
Answers:
32/68=8/17
22/28-11/14
21/49=3/7
Step-by-step explanation:
[tex]\dfrac{32}{68}=\dfrac{32:2}{68:2}=\dfrac{16:2}{34:2}=\dfrac{8}{17}\\\\\\\dfrac{22}{28}=\dfrac{22:2}{28:2}=\dfrac{11}{14}\\\\\\\dfrac{21}{49}=\dfrac{21:7}{49:7}=\dfrac{3}{7}[/tex]
325.876 in expanded from using decimals
300+20+5+0.8+0.07+0.006
Happy to help! Please mark me as the brainliest!
Solve for "X".
x2 = 121
X = ? or x = ?
1. Two angles are supplements. The larger is 10 more than 4 times the smaller. Find both angles,
2. Two angles are supplements. They're equal in measure. Find both angles.
3. The supplement of an angle is three times the complement of the angle. Find the angle.
4. The supplement of an angle is 12 less than twice the angle. Find both angles.
Step-by-step explanation:
Supplementary angles equal 180°
1. Let the two angles be x and y
then y = 4x + 10
x + y = 180
x + (4x + 10) = 180
5x + 10 = 180
5x = 180 - 10
5x = 170
x = 170 / 5
x = 34
x = 34y = 146
2. if the two angles are equal then divide 180 by 2 to get 90
3. 180 - x = 3(90 - x)
180 - x = 270 - 3x
2x = 90
x = 45
4. 180 - x = 2x - 12
180 - 12 = 2x + x
168 = 3x
x = 56
What does distributive property look like
Answer:
The distributive property lets you multiply a sum by multiplying each addend separately and then add the products. ... Consider the first example, the distributive property lets you "distribute" the 5 to both the 'x' and the '2'.
Step-by-step explanation:
Answer: 4(x-3)=20
4x-4(3)=20
4x-12=20
4x-12+12=20+12
4x=32
4x/4 = 32/4
x=8
Step-by-step explanation:
To “distribute” means to divide something or give a share or part of something.
Natalie read 3 4 of a book that is 120 pages long. How many pages does she have left to read?
Answer:30
Step-by-step explanation:
120 divided by 4
Answer:
30 pages
Step-by-step explanation:
if natalie has read 3/4 pages of a book it means that she only remains with 1/4 pages of the book for her to complete reading the book.
therefore if the book is made of 120 pages ,what is the 1/4 of the total 120 pages.
= 1/4 * 120pages
= 30 PAGES
Simplify:(-3x)(-2x5)
Answer: 30x
Multiply
−
2
by
5
.
−
3
x
⋅
−
10
Multiply
−
10
by
−
3
.
30
x
Answer:
6[tex]x^{6}[/tex]
Step-by-step explanation:
Using the rule of exponents
[tex]a^{m}[/tex] × [tex]a^{n}[/tex] ⇔ [tex]a^{(m+n)}[/tex]
Given
(-3x)(-2[tex]x^{5}[/tex])
= - 3 × [tex]x^{1}[/tex] × - 2 ×[tex]x^{5}[/tex]
= (- 3 × - 2) × [tex]x^{(1+5)}[/tex]
= 6[tex]x^{6}[/tex]
The total cost of renting a car is determined by the number of days a car is rented, at $75 per day, and the number of miles it is driven, at $0.50 per mile. The company uses the expression 75x +0.50y to evaluate the total cost of renting a car. What does the variable x represent? *
Answer:
Given: The total cost of renting a car is determined by the number of days a car is rented, at $75 per day, and the number of miles it is driven, at $0.50 per mile. The company uses the expression [tex]75x +0.50y[/tex] to evaluate the total cost of renting a car.
To check: We need to check what does the variable x represent.
Here, the company uses the expression [tex]75x +0.50y[/tex] to evaluate the total cost of renting a car.
Here 75 represents the rent per day, and 0.50 represents the cost per mile.
As, x is multiplied by 75. So, the variable x represents the number of day one has taken the car.
3 lines are shown. A line with points T, R, W intersects with a line with points S, R, V at point R. Another line extends from point R to point U in between angle V R W. Which pair of angles are vertical angles? AngleWRU and AngleSRT AngleWRS and AngleVRT AngleVRU and AngleTRS AngleVRT and AngleSRT
Answer:
The vertical angles are ∠ WRS and ∠ VRT ⇒ 2nd answer
Step-by-step explanation:
* Lets explain the meaning of the vertical angles
- Vertical angles are the angles opposite to each other when two lines
are intersected
- The vertical angle are equal in measures
- Look to attached figure which represents the lines
∵ Line TW intersects line SV at R
∴ ∠ WRV and ∠ SRT are vertical angle
∴ ∠ WRS and ∠ VRT are vertical angle
∵ RU is between the rays of angle VRW
∴ RU intersects the lines TW and SV at R
∴ No vertical angles between RU and the other two lines because
it intersects them its endpoint R
* Now lets look to the answer to chose the right one
- ∠ WRU and ∠ SRT are not vertical angles
- ∠ WRS and ∠ VRT are vertical angles
- ∠ VRU and ∠ TRS are not vertical angles
- ∠ VRT and ∠ SRT are not vertical angles
The pair of angles that are vertical angles is: ∠WRS and ∠VRT.
What are Vertical Angles?When two straight lines intersect each other at a point, the opposite angles that are vertical to each other are called vertical angles.
∠WRS and ∠VRT are vertically opposite each other.
Therefore, the pair of angles that are vertical angles is: ∠WRS and ∠VRT.
Learn more about vertical angles on:
https://brainly.com/question/14362353
How to solve this question
7(x + 3 ) = 6 - (-7x - 15)
Apply the distributive rule to remove parentheses.
7x + 21 = 6 + 7x + 15
Right away, you should be able to see that 7x will be cancelled rendering this equation to have no solution.
Answer: NO SOLUTION
6. Which property is illustrated by the equation
ma + mb = m(a + b)?
what’s the answer
Step-by-step explanation:
It's the DISTRIBUTIVE PROPERTY:
m(a + b) = ma + mb
[tex]m\cdot(a+b)=m\cdot a+m\cdot b=ma+mb[/tex]
Other properties:
Commutative Property:
of addition: a + b = b + a
of multiplication: a · b = b · a
Associative Property:
of addition: (a + b) + c = a + (b + c)
of multiplication: (a · b) · c = a · (b · c)
15 divided by a number r
Answer:
6
Step-by-step explanation:
HELP! Consider the function represented by the graph. On a coordinate plane, a straight line with a negative slope begins on the y-axis at (0, 9) and exits the plane at (8, 1). What is the domain of this function?
Answer:
{ x | x ≥ 0 }
Step-by-step explanation:
Given,
There is a straight line started from (0, 9) and passes through (8, 1),
∵ In the coordinate plan, the values of x are arranged in increasing order to the right side of the y-axis,
Thus, the line is defined for all real values of x greater than 0,
Hence, Domain of the line = All real numbers greater than equal to 0,
i.e. { x | x ≥ 0 }
Thus, FIRST OPTION is correct.
Answer:
Its A
Step-by-step explanation:
Type your answer and then click or tap Done.
Simplify -(x-2y) - y.
Answer:
Step-by-step explanation:
x(x-2y)-(y-x)2
Final result :
-y2
Step by step solution :
Step 1 :
Equation at the end of step 1 :
x • (x - 2y) - (y - x)2
Step 2 :
2.1 Evaluate : (y-x)2 = y2-2xy+x2
Final result :
-y2
Answer: I think the answer is -x + y.
Step-by-step explanation:I think this is the answer because you first start off by distributing all the variables inside the parenthesis by the negative sign which would give you -x+2y-y. After that, you would have to subtract 2y-y because they share the same variable and you must have a SIMPLIFIED ANSWER. So with that said, your overall answer should be -x+y. Hope I'm right in giving you the correct answer!!!!
80% of ____games is 32 games
Answer:
If its multiplying then 40 if adding then 31.2
Step-by-step explanation:
Put 80 over 100
simplify to get 4/5x = 32
Multiply both sides by 5/4 (because you flip)
the fives cancel out and the fours
then you have x=5/4 x 32
four goes into 32 making it x=5 x 8
5x8=40
:)
Answer:
The answer is 40.
Step-by-step explanation:
80% + 20% = 100%
80% ÷ 20% = 4
32 ÷ 4 = 8
32 + 8 = 40
100% = 40
I need to know the answers of 10, 12, and 14
Answer:
10: 2
12: 0
14: 24
Expanded form of 680,705
[tex]\huge\boxed{600,000 + 80,000 + 700 + 5}[/tex]
To find expanded form, we need to split up the digits. When you do that, you take one digit and cut off everything to the left of it, then make everything to the right zeros.
[tex]600,000 + 80,000 + 0 + 700 + 0 + 5[/tex]
We don't need to keep the zeros.
[tex]\boxed{600,000 + 80,000 + 700 + 5}[/tex]
We can check this by adding the numbers back up to get [tex]680,705[/tex].
[tex]680,000 + 700 + 5[/tex]
[tex]680,700 + 5[/tex]
[tex]680,705[/tex]
Which equation could be solved using the graph above?
X^2+x-2=0
X^2+2x+1=0
X^2-1=0
X^2-2x+1=0
The equation that could be used to solve the graph above is x² - 1 = 0.
What is a quadratic equaton?A quadratic equation is an algebraic expression in the form of variables and constants.
A quadratic equation has two roots as its degree is two.
The graph of a quadratic equation y = x² is a parabola that opens upwards.
By observing the graph we conclude that when x = 0, y = - 1 and when
x = ± 1, y = 0.
Now going through the options we conclude that x² - 1 = 0 is the equation that satisfies this criterion.
learn more about quadratic equations here :
https://brainly.com/question/17177510
#SPJ2
The equation that can be solved using the graph is x^2 - 2x + 1 = 0.
Explanation:The equation that could be solved using the graph above is x2 - 2x + 1 = 0. This is because the graph intersects the x-axis at the point where y=0, and this represents the solutions to the equation.
If we solve the equation x2 - 2x + 1 = 0 using factoring or the quadratic formula, we would find that the solutions are x=1 and x=1. These are the same x-values where the graph intersects the x-axis on the graph provided.
The other equations, x2 + x - 2 = 0, x2 + 2x + 1 = 0, and x2 - 1 = 0, do not have solutions that match the x-values where the graph intersects the x-axis.
Learn more about graph and equation intersection here:https://brainly.com/question/38002784
#SPJ11
9. Solve for x,
9x - 25
5x + 7
N
Answer:
x = 8
Step-by-step explanation:
Simplifying
9x + -25 = 5x + 7
Reorder the terms:
-25 + 9x = 5x + 7
Reorder the terms:
-25 + 9x = 7 + 5x
Solving
-25 + 9x = 7 + 5x
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '-5x' to each side of the equation.
-25 + 9x + -5x = 7 + 5x + -5x
Combine like terms: 9x + -5x = 4x
-25 + 4x = 7 + 5x + -5x
Combine like terms: 5x + -5x = 0
-25 + 4x = 7 + 0
-25 + 4x = 7
Add '25' to each side of the equation.
-25 + 25 + 4x = 7 + 25
Combine like terms: -25 + 25 = 0
0 + 4x = 7 + 25
4x = 7 + 25
Combine like terms: 7 + 25 = 32
4x = 32
Divide each side by '4'.
x = 8
Simplifying
x = 8
what is the value of 3 times 10 to the negative 5th power
Which of the following is most likely the next step in the series?
оооо
Answer:
Answer would be B.
Step-by-step explanation:
URGENT These are just 3 easy fill in the blank math problems. Integers
1. When adding *blank* signs in addition you should add and keep the sign
2. When subtracting integers you can change the minus to a plus and take the *blank* of the next number. Then follow addition integer rules.
3. When adding *blank* signs in addition you should subtract and keep the sign of the larger number
Answer:
Bedhshshhssjbsbwbsbw
Step-by-step explanation:
Fhdhshhehehehehehehshehs
A carpenter goes through 2 2 ⁄6 boxes of nails finishing 3 1 ⁄4 rooves. How much would he use finishing 2 rooves?
Answer:
1 17/39 boxes.
Step-by-step explanation:
3 1/4 rooves requires 2 2/6 boxes
So 2 rooves require 2 * 2 2/6 / 3 1/4 boxes.
= 2 * 14/6 / 13/4
= 28/6 * 4/13
= 56/39
= 1 17/39 boxes.
The question involves calculation of usage rate per roof by dividing the total boxes used by the number of rooves completed and then applying that rate to determine number of boxes needed for 2 rooves.
Explanation:The question asks how many boxes of nails a carpenter would use for 2 rooves if he goes through 2 2/6 boxes to complete 3 1/4 rooves. To find out the number of boxes needed for 2 rooves, we need to calculate the rate of nail box usage per roof and then apply that rate to 2 rooves.
First, we simplify 2 2/6 to a mixed number: 2 1/3.
Then we divide the number of boxes by the number of rooves to get the usage rate per roof:
2 1/3 boxes ÷ 3 1/4 rooves = usage rate per roof.
Once we get the usage rate, we multiply it by 2 to find the boxes needed for 2 rooves.
This process involves converting mixed numbers to improper fractions, performing division, and then multiplication.
Learn more about Box of Nails here:
https://brainly.com/question/2253908
#SPJ2