1. Write your answer using only
positive exponents.
(3ab^3c^-1)^3
Answer:
[tex](\frac{{3ab^{3}}}{c^{1}} )^{3}[/tex]
Step-by-step explanation:
[tex](3ab^{3} c^{-1} )^{3} =(\frac{{3ab^{3}}}{c^{1}} )^{3}[/tex]
Solve the system of equations and choose the correct ordered pair. 3y=4x+7 and 5y=4x+25
Answer:
(5,9)
Step-by-step explanation:
3y=4x+7
5y=4x+25
Subtract the two equations to eliminate x
5y=4x+25
-( 3y=4x+7)
------------------
2y = 0x +18
Divide by 2
2y/2 = 18/2
y =9
Now find x
3y = 4x+7
3*9 = 4x+7
27 = 4x+7
Subtract 7
20 = 4x
Divide 4
20/4 = 4x/4
5 =x
(5,9)
Step-by-step explanation:
3y=4x+7_equation 1
5y=4x+25_equation 2
multiply equation 1 by 5 an equation 2 by 3
15y=20x+35_equation 3
15y=12x+75_equation 4
subtract equations 4 from equation 3
0=8x-40
40=8x
divide both sides by 8
x=5
substitute x into equation 1
3y=4(5)+7
3y=20+7
3y=27
divide both sides by 3
y=9
Write the slope-intercept form of the equation that passes through the point (0, 1) and is parallel to the line y = 3x - 5 a. y = 3x + 1 b. y = 3x - 4 c. y = -1/3x - 4 d. y = -1/3x + 1
Answer:
y = 3x + 1
Step-by-step explanation:
This new line is parallel to y = 3x - 5 and thus has the same slope (3).
Adapting the point-slope formula y = mx + b to this situation, we use m = 3 and substitute 0 for x and 1 for y:
1 = 3(0) + b
Therefore, b = 1, and the desired equation is
y = 3x + 1
What is true about the diagonals of
the shapes below? Select all that
apply.
Click the bottom right arrow to go
to the next set. Click the
checkmark (available on the last
set) to submit all your answers.
Parallelograms and Rhombi:
far
Diagonals bisect each other
Diagonals are perpendicular
Diagonals are not congruent
Diagonals bisect the angles
Diagonals are congruent
Answer: B
Step-by-step explanation: it could not be A bc A is 3.4 and 34.8 and its not correct
Multiply 1 and 3/4 × 4/5.One and three-fourths written as an improper fraction is .
The product written as an improper fraction in lowest terms is .
The answer written as a mixed number is .
Answer:
Multiplication:
1 x (3/4 x4/5)
= 3/5
Answer:
7/5 (improper fraction), or 1 2/5 (mixed number)
Step-by-step explanation:
One and three-fourths written as an improper fraction is 7/4.
Now we multiply 4/5 by 7/4. The '4' in each fraction cancels out the '4' in the other fraction, so that we are left with (1/5)(7/1), or 7/5 (improper fraction), or 1 2/5 (mixed number)
Which expression is equal to 6/√5? 6√5/25 30/√5 36/√30 6√5/5
Answer:
6√5/25 = 6√5/(√5)^4 = 6/(√5)^3 (invalid)
30/√5 = 6*(√5)^2/(√5) = 6√5 (invalid)
36/√30 = 6*(√6)^2/(√5*√6) = 6√6/√5 (invalid)
6√5/5 = 6√5/(√5)^2 = 6/√5 (valid)
Answer:
[tex]$\frac{6\sqrt{5} }{5} $[/tex]
Step-by-step explanation:
Which expression is equal to [tex]$\frac{6}{\sqrt{5} } $[/tex]?
Rationalizing denominator:
[tex]$\frac{6}{\sqrt{5} }\cdot \frac{\sqrt{5} }{\sqrt{5} }=\frac{6\sqrt{5} }{5} $[/tex]
The formula to calculate the gravitational force between two objects is F, = GM1M2/r^2
where M1 and M2 are the masses of the objects, G is the gravitational constant and
r is the distance between the objects. Solve for M1 in terms of Fg, G, M2 and r.
Answer: M1=?
Solving for M1 in terms of Fg, G, M2 and r yields;
M1 = Fr²/GM2To solve for M1 in terms of F, G, M2 and r;
We are required to make M1 the subject of the formula as follows;
F = (G M1M2)/r²By cross product;
Fr² = G M1M2Afterwards; by dividing through by G M2; we have;
M1 = Fr²/GM2Read more:
https://brainly.com/question/15344051
Write –64.875 as a mixed number.
Answer:
[tex]-64\frac{7}{8}[/tex]
Step-by-step explanation:
-64 would be the whole number.
.875 would be 875/1000 as a fraction.
Put them together:
[tex]-64\frac{875}{1000}[/tex]
Simplify:
[tex]-64\frac{875}{1000}=-64\frac{875/125}{1000/125}=\boxed{-64\frac{7}{8}}[/tex]
3. Write the slope-intercept form of the equation that passes through the point (5, -1) and is parallel to the line y = -x + 5 y = -x - 6 y = -x + 4 y = x - 6 y = x + 4
Answer:
Step-by-step explanation:
I can help
PLEASE HELP simplify the expression: 2/3÷(-4)-[ 1/6-8/6] A. 1 B. 29/24. C. -24/17. D. 23/24
Answer:
A. 1
Step-by-step explanation:
2/3 ÷ (-4) - (1/6-8/6)
Solve for brackets.
2/3 ÷ (-4) - (-7/6)
2/3 ÷ (-4) + 7/6
-2/12 + 7/6
Make denominators equal.
-2/12 + 14/12
12/12
= 1
awarding branliest for first correct answer
Answer:
(x - 3)(x + 3)(x² + 9)
Step-by-step explanation:
Step 1: Difference of Squares
(x² - 9)(x² + 9)
Step 2: Difference of Squares within Difference of Squares
(x - 3)(x + 3)(x² + 9)
*You can't factor x² + 9 because it has no real roots. You can factor it to have complex roots (imaginary number i).
Answer:
(x+3)(x+3)(x²-9)
Does this graph represent a function? Why or why not?
Answer: C
Step-by-step explanation: For a function, each x-coordinate corresponds to exactly one y-coordinate.
To determine whether the graph shown here
is a function, we can use the vertical line test.
The vertical line test tells us that if each x-coordinate on the graph corresponds to exactly one y-coordinate, then any vertical line that we draw on the graph should hit the graph at only one point.
For the graph show here, any vertical line that you draw with hit the graph at only one point which means it does pass the vertical line test.
So this graph is a function.
Describe how to transform the graph of f(x) = x* to obtain
the graph of the related function g(x) = f(-4(x - 3)) + 1.
Then draw the graph of g(x).
Answer:
Step-by-step explanation:
Parent function is, f(x) = x²
For x = -4(x - 3),
f[-4(x - 3)] = [-4(x - 3)]²
= 16(x - 3)²
= 16(x - 3)²
g(x) = 16(x - 3)² is the transformed form of the graph f(x).
Here 16 (Coefficient of x²) represents the vertical stretch of the parent function by 16 units.
Followed by a translation of the function by 3 units right.
Table of input and output values of g(x),
x 0 1 2 3 4 5
y -48 -32 -16 0 16 32
Now plot these points on a graph and join them.
If Angle 8 is congruent to angle 10 and Angle 1 is congruent to angle 7, which describes all the lines that must be parallel? Lines r and s are crossed by lines t and u to form 16 angles. Clockwise from top left, at the intersection of r and t, the angles are 1, 2, 3, 4; at the intersection of s and t, 5, 6, 7, 8; at the intersection of u and s, 9, 10, 11, 12; at the intersection of u and r, 13, 14, 15, 16. Only lines r and s must be parallel. Only lines t and u must be parallel. Lines r and s and lines t and u must be parallel. Neither lines r and s nor lines t and u must be parallel.
Answer:
The correct option is C
C) Lines r and s and lines t and u must be parallel
Step-by-step explanation:
I've attached the figure for this questions below. Consult it for better understanding of the solution.
We have been given 2 conditions that:
Angle 8 is congruent to angle 10Angle 1 is congruent to angle 7When both the pair of lines that are r,s and t,u are parallel, then the angles <8 and <10 as well as <1 and <7 become opposite angle, which are always equal. Even if one pair of lines is not parallel, these conditions won;t hold true.
C) Lines r and s and lines t and u must be parallel.
I just took the quiz on edge
Question 19 (4 points)
Saved
2(x + 1) + 2(x - 2) = 3(x-3) + 4
Answer:
x=-3solution,
[tex]2(x + 1) + 2(x - 2) = 3(x - 3) + 4 \\ or \: 2x + 2 + 2x - 4 = 3x - 9 + 4 \\ or \: 2x + 2x + 2 - 4 = 3x - 5 \\ or \: 4x - 2 = 3x - 5 \\ or \: 4x - 3x = - 5 + 2 \\ x = - 3[/tex]
Hope this helps...
good luck on your assignment.
Answer:
x = - 3
Step-by-step explanation:
2(x + 1) + 2(x - 2) = 3(x-3) + 4
2x + 2 + 2x - 4 = 3x - 9 + 4
2x + 2x - 3x = - 9 + 4 - 2 + 4
4x - 3x = - 3
x = - 3
Please help me solve. Surface area of this pyramid?
Answer:
2619mm^2
Step-by-step explanation:
Surface Area: 2bh+b^2
2(27)(35)+27^2
1890+729=2619
HELP FIRST GET BRAINLLEST Which of the statements below are true? Select all that apply. A) Tom's friends are taller than Sam's friends B) Sam's tallest friend is 72 inches tall C) Sam's friends are taller than Tom's friends. D) Tom's tallest friend is over 70 inches tall
Answer:
Step-by-step explanation:
c
In 1980, the median age of the U.S. population was 30.0; in 2000, the median age was 35.3.
Create an explicit linear equation to model the change in median age over time. Use t for time (measured in decades since 1980) and a for median age (measured in years).
Answer:
y = 0.265x - 494.7
Step-by-step explanation:
Let median age be represent by 'a' and time be represent by 't'
In 1980, median age is given 30
which means that
a₁ = 30
t₁ = 1980
In 2000, the median age is given 35.3
which means that.
a₂ = 35.3
t₂ = 2000
The slope 'm' of the linear equation can be found by:
m = (a₂ - a₁) /(t₂ - t₁)
m = (35.3 - 30)/(2000-1980)
m = 0.265
General form of linear equation is given by:
y = mx + c
y = 0.265x +c
Substitute point (1980,30) in the equation.
30 = 0.265(1980) + c
c = -494.7
Hence the the linear equation can be written as:
y = mx + c
y = 0.265x - 494.7
The triangles below are similar. Triangle A B C. Side A C is 10 and side A B is 5. Angle C is 30 degrees. Triangle D E F. Side E D is 7.5 and side D F is 25. Angle F is 30 degrees and angle E is 90 degrees. Which similarity statements describe the relationship between the two triangles? Check all that apply. Triangle C B A is similar to triangle F E D Triangle C B A is similar to triangle F D E Triangle B A C is similar to triangle E F D Triangle B A C is similar to triangle E D F Triangle A B C is similar to triangle D E F Triangle A B C is similar to triangle D F E
Answer:
A,D,E
Step-by-step explanation:
Answer:
A,D,E
I WILL NOT GIVE A EXPLAINTION
ASAP!!!!!!! The graph represents the money collected at the movie theater on Saturday. Find the domain when the maximum number of people allowed in the movie theater is 30 people. graph of y equals 2 times x plus 40 with x axis labeled Number of People and y axis labeled Amount of Money 0 ≤ y ≤ 30 40 ≤ x ≤ 100 0 ≤ x ≤ 30 40 ≤ y ≤ 100
Answer:
40 ≤ y ≤ 100
Step-by-step explanation:
Answer: Domain must include the x value. With a maximum of 30 people allowed in the theater, the domain is between 0 and 30, or 0<x>30
Step-by-step explanation:
Put this into slope form x/2 + 2y= 6
Answer:
y=-1/4x +3
Step-by-step explanation:
x/2 + 2y = 6
Subtract x/2 from both sides
2y=-x/2 +6
Simplify by dividing by 2
y=-1/4x +3
IfA=(-2,-4) and B=(-8,4), what is the length of AB?
Answer:
10 unitssolution,
A(-2,-4)--->(X1,y1)
B(-8,4)----->(x2,y2)
now,
[tex]ab = \sqrt{(x2 - x1) ^{2} + {(y2 - y1)}^{2} } \\ \: \: \: \: = \sqrt{ (- 8 - ( - 2)) ^{2} + (4 - ( - 4)) ^{2} } \\ \: \: \: = \sqrt{( - 8 + 2) ^{2} + {(4 + 4)}^{2} } \\ \: \: \: = \sqrt{( - 6) ^{2} + {(8)}^{2} } \\ \: \: = \sqrt{36 + 64} \\ \: \: \: = \sqrt{100} \\ \: \: \: = \sqrt{ {(10)}^{2} } \\ \: \: \: \: = 10 \: units[/tex]
Hope this helps..
Good luck on your assignment
Which expression is equivalent to
b^m/b^n
Answer:
b^ (m-n)
Step-by-step explanation:
When the bases are the same, when dividing, we subtract the exponents
b^m/b^n
b^ (m-n)
im gon be posting a lot so helppp
Answer:
It's Rational. Hopes this helps you!
Step-by-step explanation:
awarding branliest for first correct answer!! HELP
Answer:
(3x - (3x - 5y))(3x + (3x - 5y))
Step-by-step explanation:
We use difference of squares to help factor.
Simplify 27/25 A. 1/7 B. 3/9 C. 3/5 D. 9/15 I will mark you as brainliest
Answer:
27/25 simplified is 1 2/25 none of your answers work
Step-by-step explanation:
Answer:
27/25
Step-by-step explanation:
27/25
Simplify the fraction if possible.
= 27/25
The improper fraction cannot be simplified further.
using the general equation, f(x)=[x/1.50] how many songs can be purchased with a $35 gift card?
Answer:
23
Step-by-step explanation:
[tex] \because \: f(x) = \bigg [ \frac{x}{1.50} \bigg] \\ \\ \therefore \: f(35) = \bigg [ \frac{35}{1.50} \bigg] \\ \\ \therefore \: f(35) =23.33 \\ \\ \therefore \: f(35) \approx 23 \\ [/tex]
Hence, 23 songs can be purchased with a $35 gift card.
What is the slope of the line?
Answer: 3/4
Step-by-step explanation:
Following the rise over run rule it goes 4 on the x axis and then 3 on the y axis
(80 pts) Find the probability of selecting two 10's when two cards are drawn (without replacement) from a standard deck of cards.
Answer:
3/663 or 1/221 chance
Step-by-step explanation:
A standard deck of cards contains 52 cards total, 4 suits total. Therefore there are 4 "10"s.
There is a 4/52 (simplified: 1/13) chance to draw a 10 on the first try.
To do it twice there is a 3/51 x 1/13 chance.
consider the polynomial 2/3x (2x-3) - (x-7) (x+7) when simplified, what is the coefficent of the quadratic term?
Answer:
x^2 - 6x + 147 so the coefficient is 1
Step-by-step explanation:
First, simplify the equation.
1. 2/3x(2x-3) = (2x/3)(2x-3)-(x-7)(x+7)
2. 2x-3(2x/3) = (2x(2x-3)) - (x-7)(x+7)
3. Expand -(x-7)(x+7) = -x^2+49
Combine to get (x^2 - 6x)/3 +49
Simplify to get x^2 - 6x + 147. The coefficient of the quadratic term is one.