if you're solving for x,
start by isolating x squared to get
x^2 = 16 (we added 8 to both sides)
then square root each side:
sqrt of x^2 = x; sqrt of 16 = 4.
we end up with x = 4 (positive and neg)
if you're factoring
minus 8 from both sides to get
x^2 - 16
from there we can factor to get
(x + 4)(x - 4)
what is the answer to this problem? simplify 3^5*3^4
Answer:
3^9
Step-by-step explanation:
We we multiply exponents with the same base, we can add the exponents
a^b * a*c = a^(b+c)
3^5 * 3^4
3^(5+4)
3^9
A motorcycle dealer paid a certain price for a motorcycle and marked it up by 1/5 of the price he paid. Later, he sold it for $14. What is the original price?? PLZZ I will give you 100 pointd
Answer:
$11.67
Step-by-step explanation:
14 (the price he sold it for) = x + 1/5(x) (how much he upped the price)
14 = 6/5x
x = 11.67
To check find 20% of 11.67 which is 2.33 and add them together, which equals $14, so it checks out.
Answer:
$35/5 = $11.666666667 ≈ $11.67Step-by-step explanation:
A motorcycle dealer paid a certain price for a motorcycle
certain price = x
And marked it up by 1/5 of the price he paid.
marked price = 6/5x
Because x + 1/5x = 6/5x
Later, he sold it for $14.
6/5x = 14
1/5x = 14/6
x = 14/6 * 5
14 * 5 = 70
70/6 = 35/3
x = 35/3
x = 35/3 = $11.666666667
Substitute this back in to check it's right.
11.666666667 * 6/5 = 14
How do you solve this
zoom out a little i cant see it that well
Erik is 4.23 feet tall. Stacy is 4.3 feet tall. Who is taller? Explain. Plssss answerrr
Answer:
Stacy
Step-by-step explanation:
4.23 < 4.3
Stacy is 0.07 feet taller than Erik, as of the given conditions.
Given that,
Erik is 4.23 feet tall. Stacy is 4.3 feet tall.
In mathematics, it deals with numbers of operations according to the statements. There are four major arithmetic operators, addition, subtraction, multiplication and division,
What is simplification?The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.
here,
Heights
Stacy = 4.3 feet
Erik = 4.23 feet
Difference = 4.3 - 4.23 = 0.07 feet
Thus, Stacy is 0.07 feet taller than Erik, as of the given conditions.
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A scale on a blue print drawing of a house shows that 666 centimeters represents 333 meters. What number of centimeters on the blue print represents an actual distance of 272727 meters?''
Answer:
545454
Step-by-step explanation:
This is a ratio. you take 666/333 = x/272727. Basically tis says 666 cm to 333 m is equal to some number of centimeters to 272727 meters. Then just solve for x. 272727(666/333) = 545454.
Another way of looking at it is what did we multiply 333 by to get 666. Answe is 2, so we do the same for 272727. 2*272727 = 545454
If you wanted to you could have also converted units so everything was in either centimeters of meters, but as long as you keep things in the right order this works.
Answer: the number of centimetres is 54cm
Step-by-step explanation:
Given that 6 centimeters represents 3meters.
The number of centimeters on the blue print that will represent an actual distance of 27meters will be Y
6 : Y = 3 : 27
That is
6/Y = 3/27 = 1/9
Cross multiply
Y = 54 cm
A sphere and a cylinder have the same radius and height. The volume of the cylinder is . Amie found the volume of the sphere.
ANSWER
[tex]V_{cone}=\frac{1}{3} \pi t^2k[/tex]
EXPLANATION
The volume of a cylinder is given by
[tex]V_{cylinder}=\pi r^2h[/tex]
The radius of the given cylinder is r=t.
The height of the cylinder is h=k.
The volume of the given cylinder is
[tex]V_{cylinder}=\pi t^2k[/tex]
The volume of a cone with the same base radius and height is
[tex]V_{cone}= \frac{1}{3} \pi t^2k[/tex]
Answer:
The correct answer is Option 2
1/3 πt²k
Step-by-step explanation:
points to remember
Volume of cone = 1/3 πr²h
Where r - Radius of cone and
h - Height of cone
To find the volume of given cone
Here radius of cone r = t and
Height of cone h = k
Therefore we can write,
volume of cone = 1/3 πr²h = 1/3 πt²k
Therefore the correct answer is option 2
help please asap thanks
Answer:B
Step-by-step explanation:Probably not A
B,C,D are probably the ones
but i think its b
find the product: (2/3)(5/3)(21)
Answer:
Here is the following answers I got.
Step-by-step explanation:
(70/3)
23.3333
23 1/3
let f(x)=2/5x^2 -2. the function g(x) is a vertical stretch of f(x) by a factor of 2 what is the equation of g(x)?
Answer:
g(x) = 4/5 x² - 4
Step-by-step explanation:
∵ f(x) = 2/5 x² - 2
∵ f(x) stretched vertically by scale factor 2
∴ g(x) = 2[f(x)]
∴ g(x) = 2[2/5 x² - 2] = 4/5 x² - 4
The resulting function is g(x) = [tex]\( \frac{4}{5} x^2 - 4 \).[/tex].
Given the function f(x) = [tex]\( \frac{2}{5}x^2 - 2 \)[/tex] and the function g(x) representing a vertical stretch of f(x) by a factor of 2, we need to find the equation of g(x).
A vertical stretch of a function f(x) by a factor of k means multiplying the function by k. Here the factor k is 2.
So, the equation of g(x) will be:
g(x) = 2 * f(x)Substitute f(x) into the equation:
g(x) = 2 * [tex]( \( \frac{2}{5}x^2 - 2 \))[/tex]Distribute the 2:
g(x) = [tex]\( \frac{4}{5} x^2 - 4 \)[/tex]Therefore, the equation for g(x) after a vertical stretch by a factor of 2 is g(x) = [tex]\( \frac{4}{5} x^2 - 4 \)[/tex].
Desmond knows that 2 cakes will feed 11 people. If he is inviting 58 people to his parents' anniversary party, how many cakes will he need?
5 cakes
6 cakes
10 cakes
11 cakes
To feed 58 people at the party there should be 10 cakes.
The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.
Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.
Given that Desmond knows that 2 cakes will feed 11 people. If he is inviting 58 people to his parent's anniversary party.
The number of cakes for 58 people will be calculated as,
11 people = 2 cakes
1 person = 2 / 11
58 people = ( 58 x 2 ) / 11
58 people = 10 cakes
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simplify (-2x-9)(-4)
Answer: [tex]8x+36[/tex]
Step-by-step explanation:
To simplify the expression you must apply the Distributive property.
Keep on mind that:
- According to the Distributive property, the product of the difference is equal to the difference of the products:
[tex]a(b-c)=ab-ac[/tex]
- Remember the multiplication of signs:
(-)(-)=+
(+)(+)=+
(-)(+)=-
Then, you obtain the following:
[tex](-2x-9)(-4)=8x+36[/tex]
Answer: The correct answer is 8x - 36.
Step-by-step explanation: I am 98% sure.
Raeana is twice as old as Madeline, and Laura is 10 years older than Raena. If Laura is 50 years old, how old is Madeline? Define your variables.
Answer: Madeline is 20 yrs old
Step-by-step explanation:
If Laura is 50 and she is 10 years older than Raena then Raena is 40 that would then make Madeline 20 years old.
Final answer:
To determine Madeline's age, we set up an equation based on the given relationship and solved it to find that Madeline is 20 years old.
Explanation:
To solve the question about Raeana, Madeline, and Laura's ages, we first define the variables. Let's denote Madeline's age as M. Since Raeana is twice as old as Madeline, Raeana's age would be 2M.
The problem states that Laura is 10 years older than Raeana, making Laura's age 2M + 10. Given that Laura is 50 years old, we can set up an equation: 2M + 10 = 50.
Now, we solve for M:
Subtract 10 from both sides of the equation to isolate the term with M on one side: 2M = 40.
Divide both sides by 2 to solve for M: M = 20.
Therefore, Madeline is 20 years old.
rewrite lnx=4 as an exponential equation
rewrite as a logarithmic equation: e^8=y
[tex]\bf \textit{exponential form of a logarithm} \\\\ \log_a b=y \implies a^y= b\qquad\qquad a^y= b\implies \log_a b=y \\\\[-0.35em] \rule{34em}{0.25pt}\\\\ ln(x)=4\implies log_e(x)=4\implies e^4=x \\\\\\ e^8=y\implies log_e(y)=8\implies ln(y)=8[/tex]
(EASY) WILL MARK BRAINEST! Question: Write an equation in slope intercept form of the line that passes through the given point and is parallel to the graph
(-9,-2) y=-4x+1
Answer:
y = -4x - 38
Step-by-step explanation:
Parallel lines are parallel because they never intersect. As such, they have the same slope. The slope of the line y = -4x + 1 is -4. Substitute m = -4 and the point (-9,-2) into the point slope form of a line.
[tex]y -y_1 = m(x-x_1)\\y --2 = -4(x --9)\\y + 2 = -4(x+9)\\[/tex]
Apply the distributive property to find the slope intercept form.
y + 2 = -4(x+9)
y + 2 = -4x - 36
y = -4x - 38
If 6 pencils cost $3.60 what is the unit price of the pencils
The unit price of one pencil is $0.60.
Explanation:The cost of one pencil (the unit price) can be found by dividing the total cost by the number of pencils. In this case, we have $3.60 divided by 6. This gives us a unit price of $0.60 per pencil.
Step by step solution
Identify the total cost, which is $3.60, and the total number of pencils, which is 6. Divide the total cost by the total number of pencils: $3.60 ÷ 6 = $0.60. Therefore, the unit price for these pencils is $0.60 each.Learn more about Unit Price here:
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can someone help me?
The correct answer is B.
Hope this helps.
Answer:
San Fransisco
Step-by-step explanation:
If Geneva is 12°C colder than her hometown, this means that her hometown is 12°C warmer than -3°C.
Since warmer means a higher number, we find 12 + -3, which is 9°C.
The town that is 9°C is San Fransisco.
Which table shows a no change linear relationship?
A)
x y
4 55
7 60
10 65
13 70
B)
x y
10 -16
15 -18
20 -20
25 -22
C)
x y
14 12
20 12
26 12
32 12
D)
x y
4 10
7 14
10 18
13 22
Answer:
C
Step-by-step explanation:
Each of the tables is a linear relationship. Linear relationships increase or decrease steadily by adding or subtracting a constant. Table A increases by 5. Table B decreases by 2. Table C doesn't change. Table D increase by 4.
A "no change" means the y values never change. The constant is 0 and is a horizontal line. Table C is the solution.
Answer:
Option C.
Step-by-step explanation:
Linear relationship : If the relation between variables is represent by a non vertical straight line, then it is called a linear relationship.
Horizontal line is a special case of linear relationship. It is know as no change linear relationship. It means the output value remains same for each input value.
In option C, the given table is
x y
14 12
20 12
26 12
32 12
Only in option C, the y-values are constant. So, it represents no change linear relationship.
Therefore the correct option is C.
Plz help me with it
Answer: a. 1
Step-by-step explanation:
[tex]\sqrt{2x+7}+1=\sqrt{2x+14}\\\\(\sqrt{2x+7}+1)^2=(\sqrt{2x+14})^2\\\\2x+7+2\sqrt{2x+7}+1=2x+14\\\\2x+8+2\sqrt{2x+7}=2x+14\\\\2\sqrt{2x+7}=6\\\\\sqrt{2x+7}=3\\\\(\sqrt{2x+7})^2=(3)^2\\\\2x+7=9\\\\2x=2\\\\x=1\\\\\\Check:\\\sqrt{2(1)+7}+1=\sqrt{2(1)+14}\\\\\sqrt9+1=\sqrt16\\\\3+1=4\ \checkmark[/tex]
If 3x-6=21, what is the value of x-2?
A. 3
B. 5
c. 7
D. 11
Answer:
[tex]\large\boxed{c.\ 7}[/tex]
Step-by-step explanation:
[tex]3x-6=21\qquad\text{divide both sides by 3}\\\\\dfrac{3x}{3}-\dfrac{6}{3}=\dfrac{21}{3}\\\\x-2=7[/tex]
Carly draws quadrilateral JKLM with vertices J(-3,3), K(3,3), L(2,-1),and M(-2, -1). What is the best way to classify the quadrilateral?
Answer:
Trapezoid
Step-by-step explanation:
The points are shown in the attached graph.
You can clearly see from the picture that it is a "Trapezoid".
Trapezoid is basically a quadrilateral (4 sided-figure) that has 1/2 pair of parallel sides.
On the other hand, a parallelogram has 2 pair of parallel sides.
Thus, a parallelogram is a special type of trapezoid where there are 2 pair of parallel sides. But trapezoid need not be a parallelogram.
The picture shows 1 pair of parallel sides, hence it is a trapezoid.
21....................
Answer:
The answer is (b) ⇒[tex]\frac{d^{5} }{2\sqrt{c} }[/tex]
Step-by-step explanation:
∵ [tex]\frac{\sqrt{c^{2}d^{6}}}{\sqrt{4c^{3}d^{-4}}}[/tex]
∵ √x² = x ⇒ that means to cancel the square root divide
the power by 2
∴ [tex]\sqrt{c^{2}d^{6}}=cd^{3}[/tex]
∵ √4 = 2 ⇒ √2×2 = √2² = 2
∵ √c³ = [tex]c^{\frac{3}{2}}[/tex]
∴ [tex]\sqrt{4c^{3}d^{-4}}=2c^{\frac{3}{2}}d^{-2}[/tex]
∴ [tex]\frac{cd^{3}}{2c^{\frac{3}{2}}d^{-2}}[/tex]
∵ In the same base with multiplication we add the power,
in same base with division we subtract the power
∴ [tex]\frac{1}{2}c^{1-\frac{3}{2}}d^{3-(-2)}=\frac{1}{2}c^{\frac{-1}{2}}d^{5}=[/tex]
[tex]\frac{d^{5}}{2c^{\frac{1}{2}}}=\frac{d^{5}}{2\sqrt{c}}[/tex] ⇒ [tex]c^{\frac{1}{2}}=\sqrt{c}[/tex]
∴ The answer is (b) ⇒ [tex]\frac{d^{5}}{2\sqrt{c}}[/tex]
Answer:
b. [tex]\frac{d^{5}}{2\sqrt{c} }[/tex]
Step-by-step explanation:
The given expression is
[tex]\frac{\sqrt{c^2d^6} }{\sqrt{4c^3d^{-4}} }[/tex]
We simplify the radicand using the property; [tex]\frac{a^m}{a^n} =a^{m-n}[/tex]
[tex]\frac{\sqrt{d^{6--4}} }{\sqrt{4c^{3-2}} }[/tex]
[tex]\frac{\sqrt{d^{10}} }{\sqrt{4c^{1}} }[/tex]
[tex]\frac{d^{5}}{2\sqrt{c} }[/tex]
Round 281 to the nearest whole number
Answer:um i belevie it is 300
Step-by-step explanation:
hope this helps
Answer:
281 is already a whole number
Step-by-step explanation:
There is no decimal point
Hope your day is great!
The number of bacteria y in a certain area doubles every hour x which function could be used to model this situation
The function could be used to model this situation is D. y = 2ˣ.
The function that could be used to model the situation where the number of bacteria, y, in a certain area doubles every hour, x, is: D. y = 2ˣ
This function represents exponential growth, where the number of bacteria doubles every hour.
The variable x represents the number of hours, and 2^x represents the doubling of the bacteria population over time.
f(x)=3 over x+2-x-3 squared what is f(7)
Answer:
[tex]f(7)=\frac{-5}{3}[/tex] or [tex]f(7)=-1.67[/tex]
Step-by-step explanation:
We are given the following function of x and we are to find the value of [tex] f ( 7 ) [/tex]:
[tex] f ( x ) = \frac { 3 } { x + 2 } - \sqrt { x - 3 } [/tex]
Substituting the given value (7) in the above function to get:
[tex]f(x)=\frac{3}{x+2}-\sqrt{x-3}[/tex]
[tex] f ( 7 )= \ frac{3}{7+2}-\sqrt{7-3}[/tex]
[tex] f(7) = \frac { 3 } { 9 } - \sqrt { 4 } [/tex]
[tex]f(7)=\frac{1}{3}-2[/tex]
[tex]f(7)=\frac{1}{3}-\frac{6}{3}[/tex]
[tex]f(7)=\frac{-5}{3}[/tex] or [tex]f(7)=-1.67[/tex]
Will give brainlly
ABCD =JKLM
What angle in the first quadrilateral corresponds to J?
A
B
C
D
Answer:
A
Step-by-step explanation:
With this question, its actually way easier than you think. If you want to find corresponding angles, you have to find a way to make the shapes overlap to be exactly the same. If they cannot be exactly the same, there will not be corresponding angles. For this, if you rotate quadrilateral 90 degrees counter-clockwise, you will see that the shapes look the same. Then you can just match up the angles that have the same degree measure (or just look the same for simplicity) and you have your answer. The answer is actually in the question too. ABCD=JKLM, but each letter is actually in the right place. A=J B=K C=L D=M.
Hope this helped! ^-^
All rectangles are parallelorams.Are all parallelograms rectangles? Explain
Answer:
See explanation
Step-by-step explanation:
Definitions of parallelogram and rectangle:
A parallelogram is a quadrilateral in which both pairs of opposite sides are parallel.
A rectangle is a parallelogram with four right angles.
This gives us that each rectangle is a parallelogram.
But an arbitrary parallelogram can have angles that are not necessarily right (for example, 60°, 120°, 60°, 120°). Thus, there are a lot of parallelograms that are not rectangles.
Given the graph of a circle and a line, how many solutions to the system of equations exist?
-no solutions
-one
-two
-three
Answer:
First Option
Step-by-step explanation:
The number of solutions is given by the values in which the equation of the circumference is equal to the equation of the line.
In other passwords the number of solutions is equal to the number of times the line intersects or touches the circumference.
Notice in the graph that the line does not touch the circumference.
Therefore for this case there are no solution
Answer:
The answer is A (no solution)
Step-by-step explanation:
Brainliest + Points! Please help ^_^
Laura could sell her car for $18,000, and she owes $5,500 on it. Which statement best describes how this situation affects her net worth?
A.
Laura has an $18,000 asset and a $5,500 liability.
B.
Laura has a $15,500 asset and an $18,000 liability.
C.
Laura's car is considered a liability only because she still owes money on it.
D.
Laura's car is considered an asset only because it is worth more than she owes.
Laura has a $5,500 liability because that's what she owes and she is liable for it. She hasn't paid for it fully so the car has not become an asset. The answer is C.
Hope this helps
Answer:
I think th answer is A
Explanation:
Asset is a valuable or useful thing. The car is worth 18,000 so it is the asset. Liability is being responsible for things like debt, or something you own by law. She is responsible for the $5,500 she owes, so that is the liability. Hope this helps!
1. if f(x)=1-x^2 and g(x)=1-x which is the rule of function (f-g)(x)
A. 1+x
B. -x^2+x
C. -x^2-x+2
D. x^3-x^2-x+1
2. For the pair of functions, f and g, find (f•g)(x) and (g•f)(x).
f(x) = 3+x, g(x) = x^2 + 1
PLEASE HELP
QUESTION 1
If f(x)=1-x² and g(x)=1-x,
Then,
(f-g)(x)=f(x)-g(x)
This implies that,
[tex]( f - g)(x) = 1 - {x}^{2} - (1 - x)[/tex]
[tex]( f - g)(x) = 1 - {x}^{2} - 1 + x[/tex]
We simplify to get,
[tex]( f - g)(x) = - {x}^{2} + x[/tex]
The correct choice is B.
QUESTION 2
Given:
f(x)=3+x
and
[tex]g(x) = {x}^{2} + 1[/tex]
[tex](f\circ g)(x)=f(g(x))[/tex]
[tex](f\circ g)(x)=f( {x}^{2} + 1 )[/tex]
[tex](f\circ g)(x)=3 + {x}^{2} + 1[/tex]
[tex](f\circ g)(x)= {x}^{2} +4[/tex]
Also,
[tex](g\circ f)(x)=g(f(x))[/tex]
[tex](g\circ f)(x)=g( 3+ x)[/tex]
[tex](g\circ f)(x)= {(3 + x)}^{2} + 1[/tex]
[tex](g\circ f)(x)= 9 + 6x + {x}^{2} + 1[/tex]
[tex](g\circ f)(x)= {x}^{2} + 6x + 10[/tex]
I don’t get how the answer is one..
not sure how to factor/reduce what I was able to reduce to equal 1
Did I do something wrong
Answer:
see explanation
Step-by-step explanation:
Factorise the numerators on both fractions
a² + 10a + 25 = (a + 5)(a + 5) ← perfect square
a² - 25 = (a - 5 )(a + 5) ← difference of squares
To divide, leave the first fraction, change division to multiplication and turn the second fraction upside down.
Hence
= [tex]\frac{(a+5)(a+5)}{a+5}[/tex] × [tex]\frac{a-5}{(a-5)(a+5)}[/tex]
Cancel both the (a + 5) factors on the numerator/ denominators and the (a - 5) factor on the numerator/denominator, leaving
= 1 ← as required