Answer:
[tex]\huge\boxed{\boxed{10b-60}}[/tex]
Step-by-step explanation:
Hello.
The Distributive Property states that
a(b+c)=ab+ac
Now that we know what the property states, let's simplify:
10(b-6)
10 times b minus 10 times 6:
10b-60
And we're done!
I hope it helps & have an outstanding day!
~ST2710 :)
What is the sign of −4ab when a>0 and b<0?
Answer:
A
Step-by-step explanation:
We have the expression:
[tex]-4ab[/tex]
And we want to find its sign given that a>0 and b<0.
Notice that the expression is already negative since we have -4.
a>0 means that a is positive. Therefore, we can ignore it since it won’t do anything.
b<0 means that b is negative. Therefore, we will have two negatives being multiplied together. Hence, this will make a positive.
Therefore, the sign of our expression will be positive.
We can see this with an example. Let a=1 (1>0) and let b=-1 (-1<0). Then:
[tex]-4(1)(-1)=4[/tex]
So, the sign is positive.
Hence, the answer is A.
Answer:
The answer is A
Step-by-step explanation:
khan said so
please help asap question four
Answer:
(-5, 17)
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS Equality PropertiesAlgebra I
Solving systems of equations using substitution/eliminationStep-by-step explanation:
Step 1: Define systems
5x + 3y = 26
-2y = 6x - 4
Step 2: Rewrite systems
5x + 3y = 26
y = 2 - 3x
Step 3: Solve for x
Substitute: 5x + 3(2 - 3x) = 26Distribute 3: 5x + 6 - 9x = 26Combine like terms: -4x + 6 = 26Subtract 6 on both sides: -4x = 20Divide -4 on both sides: x = -5Step 4: Solve for y
Define: -2y = 6x - 4Substitute: -2y = 6(-5) - 4Multiply: -2y = -30 - 4Subtract: -2y = -34Isolate y: y = 17And we have our final answer!
. Find the quotients.
a) (x2 - 4) =/(x + 2)
c) (4x2 - 1) / (2x + 1)
Answer:
[tex]\frac{x^2-4}{x+2} = x-2\\\frac{4x^2-1}{2x+1} = 2x-1[/tex]
Step-by-step explanation:
a) (x2 - 4)/(x + 2)
We can simply use factorization to solve the given question.
Here the first term will be numerator and second term will be denominator.
We will factorize the numerator.
So,
[tex]\frac{x^2-4}{x+2}[/tex]
Using formula, [tex]a^2+b^2 = (a+b)(a-b)[/tex]
[tex]\frac{x^2-4}{x+2}\\= \frac{(x^2)-(2)^2}{x+2}\\=\frac{(x+2)(x-2)}{x+2}\\= x-2[/tex]
b) (4x2 - 1) / (2x + 1)
We can simply use factorization to solve the given question.
Here the first term will be numerator and second term will be denominator.
We will factorize the numerator.
[tex]\frac{4x^2-1}{2x+1}[/tex]
Using formula, [tex]a^2+b^2 = (a+b)(a-b)[/tex]
[tex]= \frac{(2x)^2-(1)^2}{2x+1}\\=\frac{(2x+1)(2x-1)}{2x+1}\\= 2x-1[/tex]
Hence,
[tex]\frac{x^2-4}{x+2} = x-2\\\frac{4x^2-1}{2x+1} = 2x-1[/tex]
In the decade between 2001 and 2010, real outlays grew by – %. Total (nominal) outlays are now nearly $– trillion per year, or more than $– per U.S. citizen.
Answer:
37%
$4trillion
$12000
Step-by-step explanation:
Select all true statements, 25 points
Answer:
the first one and the last one
Step-by-step explanation:
The pair of points (6, y) and (10, -1) lie on a line with a slope of 1/4. What is the value of y?
!!!
Answer quick will mark Brainliest!
30 POINTS!!!!
What is the right choice?
Answer:
y < - 2x + 1
Step-by-step explanation:
A game is played using one die. If the die is rolled and shows 1, the player wins $50. If the die shows any number other than 1, the player wins nothing. Complete parts (a) through (b) below.
a. If there is a charge of $10 to play the game, what is the game's expected value?
Which expression is equivalent to -6(-2/3+2X)?
Answer:
4-12x
Step-by-step explanation:
-6(-2/3)= 12/3=4
n ecology, a measure of diversity of a species in a certain population is called the diversity index. The diversity index D is defined as the probability that any two organisms selected at random from the population will be from different species. a. If every organism in a population is from the same species, what is the value of the diversity index D
Answer: the value of the diversity index D is Zero (0)
Step-by-step explanation:
Just as the meaning of diversity index is boldly explained in the question, it is the probability that randomly selected organism from a population are from a different species.
Now if the organisms are all from the same species in a population then it is impossible to select two organisms from different species.
That is, we can never select two organisms that are not from the same species.
Hence, we cant fulfil or meet the definition of diversity index .
Therefore in this situation the value of our diversity index D will be exactly zero, D = 0.
What is the slope of the line that passes through (3, 5) and (-2, 6)?
Answer:
0.2
Step-by-step explanation:
θ =
arctan( ΔY ) + 180°
ΔX
= 168.69006752598°
ΔX = -2 – 3 = -5
ΔY = 6 – 5 = 1
Distance (d) = √ΔX2 + ΔY2 = √26 = 5.0990195135928
Equation of the line:
y = -0.2x + 5.6
or
y =
- 1 x
5
+ 28
5
When x=0, y = 5.6
When y=0, x = 28
Answer:
-0.2
Step-by-step explanation:
goodluck:)
helppp please will give brainliest
Answer:
y = -1/2x + 2
Step-by-step explanation:
Topic: Graphs and Functions
If you would like to venture further into mathematics, you can check out my Instagram page (learntionary) where I post notes and mathematics tips. Thanks!
what is the perimeter of the shape
Answer:that is an s
Step-by-step explanation:
si quema cuh
Help plzzzzzzz will give brainliest
Answer:
7.2
Step-by-step explanation:
Mean is when you add all the numbers together and divide them by the number of values there are in total.
There are 10 numbers, so find the sum of all the numbers and divide by 10.
[tex]\frac{12+8+14+5+1+3+0+8+10+11}{10}[/tex] = 72/10 = 7.2
An integer is 3 less than 5 times together. If the product of the two integers is 36, then find the integers
Step-by-step explanation:
An integer is 3 less than 5 times another. If the product of the two integers is 36, then the integers are: 3 and 12. Solution: x * (5x 3) 36; 5x2 - 3x = 36; 5x2 -3x 36 = 0; (5x + 12)(x - 3) = 0; x = -12/5 or x =3.
What is it then please
a) because the denominators are the same add the numerators:
1 1/5 + 3 2/5 = 4 3/5
b) rewrite the fractions to have a common denominator:
1/2 = 3/6
1/3 = 2/6
Now subtract:
4 3/6 - 1 2/6 = 3 1/6
Answer:
6/5+30/5
=6/5+6
=36/5
b)9/2+4/3
=26/6
=13/3
Step-by-step explanation:
30 points!!!
(1 Point)
If f(x) = 2x - 1 and g(x) = x2 + 5, find each value.
f(7).
g(-9)
Answer:
f(7)=13
g(-9)=86
Step-by-step explanation:
f(7)=2*7-1=14-1=13
g(-9)=(-9)^2+5=81+5=86
Calc BC Problem. No random answers plz
Answer:
Part A)
[tex]f(1)=2, \; f^{-1}(1)=0, \; f^\prime(1)=1.4, \; (f^{-1})^\prime(1)=\frac{10}{7}[/tex]
Part B)
[tex]y=\frac{5}{14}x+\frac{4}{7}[/tex]
Step-by-step explanation:
Please refer to the table of values.
Part A)
A. 1)
We want to find f(1).
According to the table, when x=1, f(x)=2.
Hence, f(1)=2.
A. 2)
We want to find f⁻¹(1).
Notice that when x=0, f(x)=1.
So, f(0)=1.
Then by definition of inverses, f⁻¹(1)=0.
A. 3)
We want to find f’(1).
According to the table, when x=1, f’(x)=1.4.
Hence, f’(1)=1.4.
A. 4)
We will need to do some calculus.
Let g(x) equal to f⁻¹(x). Then by the definition of inverses:
[tex]f(g(x))=x[/tex]
Take the derivative of both sides with respect to x. On the left, this will require the chain rule. Therefore:
[tex]f^\prime(g(x))\cdot g^\prime(x)=1[/tex]
Solve for g’(x):
[tex]g^\prime(x)=\frac{1}{f^\prime(g(x))}[/tex]
Substituting back f⁻¹(x) for g(x) yields:
[tex](f^{-1})^\prime(x)=\frac{1}{f^\prime({f^{-1}(x)})}[/tex]
Therefore:
[tex](f^{-1})^\prime(1)=\frac{1}{f^\prime({f^{-1}(1)})}[/tex]
We already determined previously that f⁻¹(1) is 0. Therefore:
[tex](f^{-1})^\prime(1)=\frac{1}{f^\prime(0)}[/tex]
According to the table, f’(0) is 0.7. So:
[tex](f^{-1})^\prime(1)=\frac{1}{0.7}=\frac{10}{7}[/tex]
Hence, (f⁻¹)’(1)=10/7.
Part B)
We want to find the equation of the tangent line of y=f⁻¹(x) at x=4.
First, let’s determine the points. Since f(2)=4, this means that f⁻¹(4)=2.
Hence, our point is (4, 2).
We will now need to find our slope. This will be the derivative at x=4. Therefore:
[tex](f^{-1})^\prime(4)=\frac{1}{f^\prime({f^{-1}(4)})}[/tex]
We know that f⁻¹(4)=2. So:
[tex](f^{-1})^\prime(4)=\frac{1}{f^\prime(2)}[/tex]
Evaluate:
[tex](f^{-1})^\prime(4)=\frac{1}{f^\prime(2)}=\frac{1}{2.8}=\frac{10}{28}=\frac{5}{14}[/tex]
Now, we can use the point slope form. Our point is (4, 2) and our slope at that point is 5/14.
So:
[tex]y-2=\frac{5}{14}(x-4)[/tex]
Solve for y:
[tex]y-2=\frac{5}{14}x-\frac{20}{14}[/tex]
Adding 2 to both sides yields:
[tex]y=\frac{5}{14}x-\frac{20}{14}+\frac{28}{14}[/tex]
Hence, our equation is:
[tex]y=\frac{5}{14}x+\frac{4}{7}[/tex]
The image below shows two dilated figures with lines KO and K’O’ drawn. If the larger figure was dilated using a scale factor of 5, what relationship do lines KO and K’O’ have? (10 points)
Two dilated figures are shown. The smaller figure has a line drawn connecting KO and the larger figure has a line drawn connecting K prime O prime.
The relationship between lines KO and K’O’ is given as Line K'O' = 5*line KO
Transformation is the movement of a point from its initial point to a new location. Types of transformation are reflection, rotation, translation and dilation.
Reflection happens when it is reflected over a line as we see in a mirror. But here the two triangles are not looking as images on a line. Hence no reflection
Rotation is keeping the same shape but rotating through a certain angle.
Translation is not right because there is no vertical or horizontal shift to get new triangle.
Dilation is the increase or decrease in size of a figure by a scale factor.
The larger figure was dilated using a scale factor of 5
hence
Line K'O' = 5 * line KO
The relationship between lines KO and K’O’ is given as Line K'O' = 5 * line KO
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Solve the equation 11/15 = w - 8/15
Solve the equation using the distributive property and properties of equality. Negative 5 (a + 3) = negative 55 14 -8 8 -14
Answer:
11
Step-by-step explanation:
55 divide 5 = 11
11 + 3 = 15
5 × 11 = 55
What is the slope of the line through (-10, 1) and (0,-4)?
Answer:
m=-1/2
Step-by-step explanation:
m=-4-1/0- -10
m=-1/2
If point C is reflected through the line x=y, what are the coordinates of C?
Answer:
Is there suppose to be a graph?
If not, if the original coordinates were (x,y) the new ones will be (y,x)
Step-by-step explanation:
The point C(x , y) is reflected through the line x = y, the coordinates of C is (y, x).
What is reflection?A reflection is "geometric transformation results in mirror image".
According to the question,
The point C(x, y) is reflected through the line X - Y = 0.
Formula to find new coordinates (x-x₁)/a =(y-y₁)/b= -2(ax₁+by₁+c)/(a² + b²)
The point (x, y) = (x₁, y₁) and from the line a = 1, b = - 1,c = 0.
(x-x₁)/1 = -2(x₁ - y₁)/2
x - x₁ +x₁ -y₁ =0
x = y₁.
similarly we get y = y₁
Hence, The point C(x , y) is reflected through the line x = y, the coordinates of C is (y, x).
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Ling spent $23.96 on cooking fuel for an upcoming camping trip. If she bought 4 cans of fuel, how much did she pay for each can?
$
Answer:
$5.99 per can of gas
Step-by-step explanation:
$23.96 divided by 4 = $5.99
This means that each can of gas is $5.99.
Answer:
$95.84
Step-by-step explanation:
Each can of Fuel is $23.96 and you want to find out How much she payed for 4. So all you have to do is multiply the given cost($23.96) by the amount of fuel cans(4). 23.96 times 4 give you the answer $95.84.
Cameron is buying movie tickets for himself and 3 friends. He spends $32. How much did each ticket cost
Answer: 8
32 divided by 4 equals 8
Step-by-step explanation:
Answer:
$10.67
Step-by-step explanation:
$32 divided by 3 is about $10.67, in it's simplest form.
I hope this helped, please mark Brainliest, thank you!! :)
PLEASE HELP ME WITH THIS!! THANK YOU!!!
PLEASE HELP ASAPPPPP
Answer:
Quadrant 2
Step-by-step explanation:
Solve fast answer gets brain and its 30 points ty
Answer:
74
Step-by-step explanation:
Answer:
I need the points, thanks!!!
Step-by-step explanation:
Elena bought 8 tokens for $4.40. At this rate:
How many tokens could she buy with $6.05?
tokens
How much do 19 tokens cost? $
Answer:
11,10.45
Step-by-step explanation:
4.4/8=0.55
6.05/0.55=11
11*0.55=0.45
Answer:
Read below
Step-by-step explanation:
I whole. 5. Elena bought 8 tokens for $4.40. At this rate: Next Page. Unit 3: Unit Rates and Percentages Lesson 10: What Are Percentages?
Determine if y=5/4x +1 and y=5/4x-7 are parallel, perpendicular, or neither
Answer:
they are parallel
Step-by-step explanation:
they have the same slope
The lines represents the parallel line.
What is Equation?Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side. It demonstrates the equality of the relationship between the expressions printed on the left and right sides. LHS = RHS is a common mathematical formula.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given:
y=5/4x +1 and y=5/4x-7
4y= 5x+ 4 and 4y= 5x-7
Now, [tex]a_1[/tex]= 4, [tex]b_1[/tex]= 5, [tex]c_1[/tex]= 4
[tex]a_2[/tex]= 4, [tex]b_2[/tex]= 5, [tex]c_2[/tex]= -7
Now, on comparing the ratio we have
[tex]a_1[/tex]/[tex]a_2[/tex] = [tex]b_1[/tex]/ [tex]b_2[/tex] ≠ [tex]c_1[/tex]/ [tex]c_2[/tex]
Hence, the lines represents the parallel line.
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