Marla wants to buy a new tablet that cost $565, including tax. she saves $15 per week for 30 weeks . does Marla have enough money saved by the tablet? Explain.
Step-by-step explanation:
No she won't have enough money saved.
This is so because at the end of 30 weeks she would have saved only $450 and short by 115.
I need help please!
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Answer:
f(g(x)) = 2/(x^2 +4x)
Step-by-step explanation:
[tex](f\circ g)(x)=f(g(x))\\\\(f\circ g)(x)=f(x+2)=\dfrac{2}{(x+2)^2-4}\\\\(f\circ g)(x)=\dfrac{2}{x^2+4x+4-4}\\\\\boxed{(f\circ g)(x)=\dfrac{2}{x^2+4x}}[/tex]
Divide and fully simplify, show work please I am stressed
STEP1: Equation at the end of step 1
[tex] \frac{( {5}^{2} {x}^{2} - 4) }{( {x}^{2} - 9) } \div (5x - 2) \div (x + 3) \\ [/tex]
STEP2:
Simplify — [tex] \frac{25x {}^{2} - 4}{x {}^{2} - 9 } \\ [/tex]
Factoring: 25x2 - 4
Theory : A difference of two perfect squares, A2 - B2 can be factored into (A+B) • (A-B)
Proof : (A+B) • (A-B) =
A² - AB + BA - B² =
A² - AB + AB - B² =
A² - B²
Note : AB = BA is the commutative property of multiplication.
Note : - AB + AB equals zero and is therefore eliminated from the expression.
Check : 25 is the square of 5
Check : 4 is the square of 2
Check : x2 is the square of x1
Factorization is : (5x + 2) • (5x - 2)
Trying to factor as a Difference of Squares:
Factoring: x2 - 9
Check : 9 is the square of 3
Check : x2 is the square of x1
Factorization is : (x + 3) • (x - 3)
Polynomial Long Division :
2.3 Polynomial Long Division
Dividing : 5x + 2
("Dividend")
By : x + 3 ("Divisor")
dividend 5x + 2
- divisor * 5x⁰ 5x + 15
remainder - 13
Quotient : 5
Remainder : -13
Equation at the end of step2:
[tex] \frac{ (5x + 2) • (5x - 2)}{(x + 3) • (x - 3)} ÷ (5x - 2) ÷ (x + 3) \\ [/tex]
STEP3:
Divide[tex] \frac{(5x+2)•(5x-2)}{(x+3)•(x-3)} \: by \: 5x-2 \\ [/tex]
Canceling Out :
3.1 Cancel out (5x - 2) which appears on both sides of the fraction line.
Equation at the end of step3:
[tex] \frac{(5x + 2)}{(x + 3) • (x - 3)} ÷ (x + 3) \\ [/tex]
STEP4:
Divide [tex] \frac{5x+2}{(x+3)•(x-3)} \: by \: x + 3 \\ [/tex]
Multiplying Exponential Expressions:
4.1 Multiply (x + 3) by (x + 3)
The rule says : To multiply exponential expressions which have the same base, add up their exponents.
In our case, the common base is (x+3) and the exponents are :
1 , as (x+3) is the same number as (x+3)1
and 1 , as (x+3) is the same number as (x+3)1
The product is therefore, (x+3)¹ = (x+3)²
Final result :
[tex] \frac{5x + 2}{(x + 3) {}^{2} • (x - 3)} \\ [/tex]Let the graph of g be a translation 2 units left and 3 units up, followed by a reflection in the y-axis of the graph of f(1) = ? - 24 Write a rule for g.
Answer:
g(x) = (x+2)^2 - 2x - 1
Step-by-step explanation:
f(x) = x^2 - 2x
g(x) = f(x+2) + 3
g(x) = (x+2)^2 -2(x+2) + 3 = (x+2)^2 - 2x - 1
When we graph the equations, we can confirm that our answer is correct.
The required solution of the given function is f(x) =[tex]x^{2} -2x[/tex] is reflection on y axis is [tex]g(x)= (x+2)^2 - 2x - 1[/tex].
What are transformations?
A transformation is a general term for four specific ways to manipulate the shape and/or position of a point, a line, or geometric figure. The original shape of the object is called the Pre-Image and the final shape and position of the object is the Image under the transformation.
Given:
The given function is
f(x) =[tex]x^{2} -2x[/tex]
According to given question we have
[tex]g(x) = (x+2)^2 - 2x - 1[/tex]
The graph of g be a translation 2 units left and 3 units up, followed by a reflection in the y-axis of the graph.
By the use reflection on y axis we get
[tex]f(x) = x^2 - 2x\\g(x) = f(x+2) + 3\\g(x) = (x+2)^2 -2(x+2) + 3\\ \\g(x)= (x+2)^2 - 2x - 1[/tex]
Therefore, the required solution of the given function is f(x) =[tex]x^{2} -2x[/tex] is reflection on y axis is [tex]g(x)= (x+2)^2 - 2x - 1[/tex].
Learn more details about transformations here:
https://brainly.com/question/11709244
#SPJ5
The probability of spinning a
number that can be divided by
3
3
10
3 is /
7 8
9
5
10
4. 1
3 2
Predict in 40 spins how many
times you would spin a number
divisible by 3. [?] times
Enter
Answer:
3
9
6
12
15
18
21
24
27
30
33
36
39
42
45
48
51
54
57
60
The number of times we would spin a number divisible by 3 is 12.
What is the probability?
Probability refers to a possibility that deals with the occurrence of random events.
The probability of all the events occurring need to be 1.
The formula of probability is defined as the ratio of a number of favorable outcomes to the total number of outcomes.
P(E) = Number of favorable outcomes / total number of outcomes
We are given that;
Number of spins= 40
Now,
To predict how many times you would spin a number divisible by 3 in 40 spins, you can multiply the probability of spinning such a number by the number of spins. The probability of spinning a number divisible by 3 is 3/10, as there are 3 numbers out of 10 that are divisible by 3 (3, 6, and 9). the prediction is:
(3/10) x 40 = 120/10 = 12
You would expect to spin a number divisible by 3 about 12 times in 40 spins.
Therefore, by the given data the probability will be 12.
Learn more about probability here;
https://brainly.com/question/9326835
#SPJ7
A bakery sells 7 cakes each day.
A different bakery sells 9 cakes
each day. What is the total
number of cakes the bakeries
sold after 7 days?
Answer:
112 cakes
Step-by-step explanation:
7×7=49
9×7=63
49+63=112
[tex]\text{Hello there!}[/tex]
First, we will need to find out how much each of the bakeries accrued within 7 days. We should be able to do this by simply multiplying the amount of cakes the bakery sells each day by the amount of days it's been accruing it for.
For example:
[tex]\text{7}[/tex] • [tex]\text{7}[/tex] = [tex]\text{49}[/tex]
[tex]\text{9}[/tex] • [tex]\text{7}[/tex] = [tex]\text{63}[/tex]
Since the answer doesn't explain if you're giving EACH of the bakeries amounts or combining them, that's up to you to decide if you want to do that or not.
There are 65 rows of chairs in the auditorium. I
each row as 12 chairs, how many chairs are there in all
Answer:
780
Step-by-step explanation:
12 chairs x 65 rows
Answer: 780
Step-by-step explanation: Because if each row has 12 chairs then you would already know that sounds like multipication, so just multiply 65 times 12 and that will be 780 chairs in all.
What was the average temperature for the day? -3°F -1°F 1°F 3°F
Answer:
0
Step-by-step explanation:
[tex]\\ \sf\longmapsto Average=\dfrac{Sum\:of\:data}{Number\;of\:datas}[/tex]
[tex]\\ \sf\longmapsto Average=\dfrac{-3-1+1+3}{4}[/tex]
[tex]\\ \sf\longmapsto Average=\dfrac{0}{4}[/tex]
[tex]\\ \sf\longmapsto Average=0°F[/tex]
Please help I’m stuck on this question and i don’t know the answer
Answer:
y = 1/2x
Step-by-step explanation:
Pick two points:
(2,1) and (4,2)
Find the slope: y2 - y1/x2 - x1
2-1/4-2
1/2 is the slope
The y intercept is 0
Complete the point-slope equation of the line through
(
1
,
−
1
)
(1,−1)left parenthesis, 1, comma, minus, 1, right parenthesis and
(
5
,
2
)
(5,2)left parenthesis, 5, comma, 2, right parenthesis
Answer:
y +1 = 3/4(x -1)
Step-by-step explanation:
Which of the expressions are equivalent to the one below? Check all that apply. (4.1) -6 A. (1-4) - 6 B. (4-1)-6 C. (1.4) + 6 OD. (1 + 6) = (4 + 6)
Answers:
A. and B.
Step-by-step explanation:
(4x1) - 6 = -2
A. (1x4) -6 = -2 correct.
B. (4÷1) - 6 = -2 correct.
C. (1x4) + 6 = 10 incorrect.
D. (1+6) ÷ (4+6) = very incorrect
What is the slope of the line?
Answer:
1
Step-by-step explanation:
1/1 = 1
a catering company charges a fixed fee and an additional charge person
Answer:
it was the butler
Step-by-step explanation:
In a magazine, 15% of the pages are
covered in pictures. If the remaining 51
pages of the magazine are text, how
many pages are in the entire magazine?
Answer:
60 pages
Step-by-step explanation:
0.15x + 51 = x
51 = x - 0.15x
51 = 0.85x
51/0.85 = x
X = 60 (0.15 * 60 = 9 pages covered with pictures)
Partial product method of 475x4
Answer:
(400x4)+(70x4)+(5x4)=?
Step-by-step explanation:
Divide the greater number into hundreds tens and ones then add the products to get your answer
The sum of 8n^2-3n+10 and -3n^2 -6n-7 is
Answer:5n^2-9n-7
Step-by-step explanation:
Please help me before I die
Answer:
The answer is 48.
Step-by-step explanation:
The best way is to follow the question through. Calculate the Greatest Common Factor, in this case being 2. And the Least Common Multiple, being 60. She then subtracts the difference, in this case being 60 - 2, which gives you an answer of 48.
4.
Graph the equation by translating y = |x|.
y = |x + 5|
A. Graph a
B. Graph d
C. Graph b
D. Graph c
9514 1404 393
Answer:
D. Graph c
Step-by-step explanation:
Replacing x in f(x) with (x -a) shifts the graph to the right 'a' units. Here 'a' = -5, so the graph is shifted left 5 units. This is shown in Graph C.
_____
Additional comment
Just to make sure you're awake, graph C is selected by choice D.
Answer:
c
Step-by-step explanation:
Determine the distance between the points (-2.3) and (5. - 3).
[tex] \sqrt{85} [/tex]
Hope that helped:)
The function f is defined as follows.
f (x) = [tex]\sqrt[3]{x-3}[/tex]
Find f (-61) and f (128)
Step-by-step explanation:
f(x) = ³√(x - 3)
f(-61) = ³√(-61 - 3)
f(-61) = ³√-64
f(-61) = -4
f(128) = ³√(128 - 3)
f(128) = ³√125
f(128) = 5
A sling is in the shape of an isosceles triangle with a perimeter of 155 inches. The longest side of the sling is 14 inches longer than either of the other two sides. Find the lengths of each side.
Hello there.
To answer this question, we need to remember some properties of the isosceles triangle.
First (and most importantly), an isosceles triangle is composed by three sides, in which only two of the sides have equal length.
The perimeter of a triangle is given by the sum of the lengths of the sides, such that: [tex]2p={\ell}_1+{\ell}_2+{\ell}_3[/tex], in which [tex]p[/tex] is the semiperimeter.
Given that the perimeter of such triangle is equal to [tex]155~\text{in}[/tex] and the longest side is [tex]14~\text{in}[/tex] longer than both the other sides, we have that:
[tex]\begin{cases}{\ell}_2={\ell}_3\\ {\ell}_1+{\ell}_2+{\ell}_3=155\\ {\ell}_1={\ell}_2+14\\\end{cases}[/tex]
Using these informations, in terms of [tex]{\ell}_2[/tex], we get:
[tex]{\ell}_2+14+{\ell}_2+{\ell}_2=155[/tex]
Sum the equal terms on the left hand side of the equation
[tex]3\,{\ell}_2+14=155[/tex]
Subtract [tex]14[/tex] on both sides of the equation
[tex]3\,{\ell}_2=141[/tex]
Divide both sides of the equation by a factor of [tex]3[/tex]
[tex]{\ell}_2=47~\text{in}[/tex]
Substituting this value on the first and second equations, we get:
[tex]{\ell}_3=47~\text{in}\\\\\\ {\ell}_1=47+14=61~\text{in}[/tex]
Thus, the length of the sides of this triangle are, respectively from the largest to the smallest: [tex]{\ell}_1=61~\text{in},~{\ell}_2=47~\text{in},~{\ell}_3=47~\text{in}~~\checkmark[/tex]
These are the values we were searching for.
if f(x)=x-3/4 and h(x)=3x-4 find f(h(-1))
Answer:
hope it helps you..........
Answer:
f(h(-1)) = -2.5
Step-by-step explanation:
We are given:
f(x) = (x - 3)/4
h(x) = 3x - 4
Knowing this, first find h(-1).
h(-1) = 3(-1) - 4
Multiply 3 and -1.
h(-1) = -3 - 4
Subtract 4 from -3.
h(-1) = -7
Now knowing this evaluate the function out.
f(h(-1)) = f(-7)
Evaluate f(-7).
f(x) = (x - 3)/4
Substitute variable.
f(-7) = ((-7) - 3)/4
Subtract 3 from -7.
f(-7) = (-10)/4
Divide -10 by 4.
f(-7) = -2.5
This means that f(h(-1)) = -2.5.
1. Which statement is correct for 450-450-90° triangles?
A. hypotenuse = V3 • leg
B. hypotenuse • V2 = leg
C. hypotenuse=v2 • leg
D. hypotenuse divided V3 = leg
Answer: 3rd answer is the correct answer.
Applying the Pythagorean theorem, we find that the length of the hypotenuse is equal to the square root of 2. In other words, the hypotenuse is root 2 times the length of either leg.
VALUE PACK
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6.
Bella wants to write two equations to model the streets on this map. She can use y = x – 4 to describe Platte Way. Find one absolute value equation to describe Marteen Rd and Smith St.
A. y = |x – 3| – 2
B. y = |x + 3| – 2
C. y = |x + 2| – 3
D. y = |x – 2| – 3
Answer:
C. y = |x + 2| – 3
Step-by-step explanation:
I got this answer correct on Gradpoint
Solve for x, y, and z
Answer:
Step-by-step explanation:
19 from pythagoras theorem
x^2 = 15^2 + 6^2
x^2 = 225 + 36
x^2 = 261
x = sq.root of 261
x=16.2
20 Using SOHCAHTOA
Cos theta = adj/ hypotenuse
cos y = 24/30
cos y = 0.8
y= arc cos 0.8
y = 36.9
At the track meet, 1/5 of the people participated in the high jump. 2 more people joined making the ratio who did the high and who didn’t 1:3. How many people were there at the end? I answered 16 but I think I’m wrong so please correct. :)
Answer:
Step-by-step explanation:
What is the Slope of the equation y = x - 2
A 1
B-2
C 2
D 0
Answer:
A. 1
Step-by-step explanation:
The slope is the coefficient of x: 1.
tonya is 13 1/2 years old. she states "my brother is one-forth my age" according to tonya, how old is her brother
Answer:
3.73
Step-by-step explanation:
1/4 of 13 1/2 is 3.73
hope this is helpfull
can you relate to the attachment??
Help!! Due today!! Will mark brainliest!!
I do not believe this is correct, (I have been checking it), but here is my work and I hope it helps you to figure out the correct answer!
(It has been a bit since I've done this haha)
[Equation] [tex]A = d(\frac{(1+i)^{n}-1}{i})[/tex]
[Plug-In] [tex]152,000 = d(\frac{(1+0.045)^{168}-1}{0.045})[/tex]
() 4.5% -> 0.045
() 14 years * 12 = 168 months
This is where I loose confidence in it, just so you know:
[Addition] [tex]152,000 = d(\frac{(1.045)^{168}-1}{0.045})[/tex]
[Exponent of 168] [tex]152,000 = d(\frac{(1,627.56)-1}{0.045})[/tex]
[Subtract] [tex]152,000 = d(\frac{1,626.56}{0.045})[/tex]
[Divide] [tex]152,000= 36,145d[/tex]
[Divide Again] d = 4.2
(which doesn't sound right to me haha, 4 * 12 = 48 * 14 =672)
Have a nice day!
I know this is not exactly what you are looking for and I am sorry, wanted to share with you what I had! (ノ^∇^)
- Heather