Answers
Answer:
A = 5x³ + 17x² - 35x - 30
Step-by-step explanation:
the shaded area (A) is calculated as
A = outer area - inner area
= (5x + 3)(x² + 4x - 10) - 3x(2x - 1) ← distribute parenthesis
= 5x³ + 20x² - 50x + 3x² + 12x - 30 - (6x² - 3x)
= 5x³ + 23x² - 38x - 30 - 6x² + 3x ← collect like terms
= 5x³ + 17x² - 35x - 30
Answer:
5x^3+ 17x^2- 35x-30 Or x=-4.63 or 1.9
Step-by-step explanation:
Area of rectangle =L×B
for smaller rectangle :
after applying the formula, the equation becomes:
6x^2 - 3x
For bigger rectangle:
Applying the same formula, the equation becomes:
5x^3+ 23x^2- 38x- 30
Area of shaded region =
Area of bigger rectangle- Area of smaller rectangle
= 5x^3+17x^2 -35x-30
going further solving the above equation
Area of shaded region: -4.96 or 1.9
Related Questions
Every time Carrie bakes a batch of brownies, she uses 18
cup of chocolate. If she has 12
cup(s) of chocolate remaining, how many batches of brownies can Carrie make?
Answers
22. Peter makes $10.00 per hour as a server. The
restaurant also gives him 15% of his wages as a bonus
For good service. He makes for good service he works 40 hours this week .what are his total earnings for the week
A) $46:00
B)460.00
C) $600.00
D)60.00
Answers
Answer:
B) $460.00
Step-by-step explanation: I've got big brain
JO. Jeff buys 3 boxes of cereal for $2. 99 each a gallon of
mik for $4. 98 and 4 bananas for $0. 50 each. If has a 20% off his
Total bill coupon and he pays with a $20. 00 bil, how much change
will he get back?
Answers
Answer:
people got rock to sell the house and I'm going to fly to the land of the block trained me like a dojo now I'm better than yb and I will be there in about it dirk can you ask mom to get
440 customers at an ice cream shop took a survey and rated it "very satisfactory". This represented 22% of the total number. How many total customers took the survey?
Answers
Answer:
2000
Step-by-step explanation:
440 customers are 22% of total meaning there is 78% left.
440*100=44,000 44,000/22=2,000
i don’t know how to do this, anyone know how. please help
Answers
Answer:
Step-by-step explanation:
Sullivan had to show 5 of his
coworkers how it's done. His boss
wanted him to roar! Of the 5
coworkers, 40 percent were clapping.
How many coworkers were clapping
Answers
Answer:
2 workers
Step-by-step explanation:
If you want to find 40 percent of 5, just mutiply 40% which = to .4 and 5
Explanation: 5 X .4 = 2. 5-2= 3
When Victoria moved into a new house, she planted two trees in her backyard. At the
time of planting, Tree A was 32 inches tall and Tree B was 12 inches tall. Each year
thereafter, Tree A grew by 2 inches per year and Tree B grew by 6 inches per year. Let
A represent the height of Tree At years after being planted and let B represent the
height of Tree Bt years after being planted. Graph each function and determine the
interval of time, t, when Tree A is taller than Tree B.
Click twice to plot each line. Click a line to delete it.
Answers
Answer:
Answer:A=6t+29
B=3t+35
Same height in 4 years
Step-by-step explanation:
Find an exponential function of the form y = ab* that passes through the points (0,4)
and (2, 100).
Oy=5-4x
Oy=4.5*
Oy-4-2*+84
Oy-25-2x
Answers
Answer:
2nd option
Step-by-step explanation:
given an exponential function in the form y = a[tex]b^{x}[/tex]
to find a and b use the coordinate points it passes through
using (0, 4 ) , then
4 = a[tex]b^{0}[/tex] [ [tex]b^{0}[/tex] = 1 ] , that is
a = 4 , so
y = 4[tex]b^{x}[/tex]
using (2, 100 )
100 = 4b² ( divide both sides by 4 )
25 = b² ( take the square root of both sides )
[tex]\sqrt{25}[/tex] = b , that is
b = 5
then exponential function is
y = 4 . [tex]5^{x}[/tex]
What is the value of
5+5+6+6+7+7+8+8= *2
Answers
Answer:
108
Step-by-step explanation:
Answer:
52 or 104
Step-by-step explanation:
What 6x squared divided by x is
Answers
Answer:
[tex]6x[/tex]
Step-by-step explanation:
Hey there!
In order to solve this problem, you need to first simplify the equation by splitting [tex]6x^2[/tex]
After splitting:
[tex]\frac{6*x*x}{x}[/tex]
Now, we can cross out two of the x values
[tex]\frac{6*x}{1}[/tex]
This is also seen as
[tex]6*x[/tex]
Which simplified is our answer
So the fraction [tex]\frac{6x^2}{x}[/tex] can be re-written or solved as, [tex]6x[/tex]
Answer:
[tex]\frac{6x^{2}}{x} =6x[/tex]
Step-by-step explanation:
[tex]x\neq 0\\\\\frac{6x^{2}}{x} =\frac{6\times x\times x}{x} =6x \ \ \ \ (x \ can \ be \ cancelled \ out)[/tex]
Example :
[tex]\frac{6\times 3^{2}}{3} =\frac{6\times 9}{3} =\frac{54}{3} =18[/tex]
[tex]\frac{6\times 3^{2}}{3} =\frac{6\times 3\times 3}{3} =6\times3=18[/tex]
if t(x)=3-2x and g(x)=1/x+5, what is the value of (f/g)(8)
Answers
Step-by-step explanation:
I'll assume you meant f(x) = 3 - 2x and not t(x) = 3 - 2x
[tex] \frac{3 - 2x}{ \frac{1}{x + 5} } \times 8[/tex]
[tex]((3 - 2x) \times ( \frac{x + 5}{1} )) \times 8[/tex]
[tex]((3 - 2x)(x + 5)) \times 8[/tex]
[tex]( - 2 {x}^{2} - 7x + 15) \times 8[/tex]
[tex]( \frac{f}{g}) \times 8 = - 16 {x}^{2} - 56x + 120[/tex]
Two prisms are similar and their ratio of similarity is 3:8.
Find the area of a base of the smaller prism if the area of a base of the larger prism is 23 square units.
Round to the nearest hundredth.
Answers
Answer:
8.63 square units
Step-by-step explanation:
you must set up a proportion.
3 x
- = -
8 23
after you set up that proportion, cross multiply to find x.
8x = 69
divide by 8
x = 8.625, rounded to 8.63
Use the distributive property to find the missing term in the equivalent expression.
(A) 6 Ã
Ã
(813
1
3
) = 48 +
(B) -5 Ã
Ã
(325
2
5
) = -2
(C) 9 Ã
Ã
(259
5
9
) = 18 +
(D) 12 Ã
Ã
(-114
1
4
) = -3
Answers
Answerbla bla bla
Step-by-step explanation:
Which expression matches the verbal description below?
three subtracted from the quotient of thirty and six
O A.30 - (3:6)
O B.30 : 6-3
O C. (30-3)-4
O D.30: (6-3)
Answers
Answer:
Quotient = division of one number by another
[tex]\implies \textsf{quotient of 30 and 6} = \sf \dfrac{30}{6}[/tex]
[tex]\implies \textsf{3 subtracted from } \sf \dfrac{30}{6}=\dfrac{30}{6}-3[/tex]
The quotient of 30 and 6 can also be written as the ratio 30 : 6
Therefore, the solution is (30:6) - 3
Let's see
Quotient means division
30/6Three subtracted means
30/6-3Convert to ratio
30:6-3Option B
Slove for m
7m=3+4m
A.m=3/11
B.m=-7
C.m=-5/4
D.m=1
Answers
Answer:
The value of m. = 1
Step-by-step explanation:
=> 7m=3+4m
=> 7m -4m = 3
=> 3m = 3
=> m = 3/3
=> m = 1
Additional electronic devices that extend the revenue control abilities of POS systems are _____ and power platforms. touchscreens keyboards minicams magnetic strip readers
Answers
Answer:
touchscreens
Step-by-step explanation:
You need this to interact with POS
Math test results are shown in the box plot above. What percent of the students scored below 70%??
Answers
which statement about the mean absolute deviation (MAD) of a data set is not true
Answers
Answer:
C
Step-by-step explanation:
MAD measures precision (meaning how close the data points are to each other)
mark brainliest please!
Mathieu is finding the x-intercepts of the function f(x) = x2 4x 3. his work is shown below. 0 = x2 4x 3 0 = (x 3)(x 1) x 3 = x 1 x = x – 2 0 = –2 there are no x-intercepts. which error did mathieu make? he factored incorrectly. he did not use the constant as the x-intercept. he set the factored expressions equal to each other. he incorrectly solved the equation x 3 = x 1.
Answers
He set the factored expressions equal to each other. instead of setting them equal to zero
What are quadratic equations?The name Quadratic comes from "quad" meaning square because the variable gets squared (like x2). It is also called an "Equation of Degree 2
The given solution of the quadratic equation in the question is
[tex]f(x) = x^2 + 4x + 3.[/tex]
His work is shown below.
[tex]0 = x^2 + 4x + 3[/tex]
[tex]0 = (x + 3)(x + 1)[/tex]
Here is where we use the zero product property
x+3 = 0 x+1 =0 We do not set them equal to each other
Hence He set the factored expressions equal to each other. instead of setting them equal to zero
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Answer:
The Answer is c
Step-by-step explanation:
Did it on edge
Which state are the Puget Sound and the San Juan Islands found in?
Hawaii
Oregon
Washington
California
Answers
Puget Sound and the San Juan Islands are wonderful to explore. You can ride ferries to the different islands, take bicycle and kayak trips, and see many eagles and orcas.
There are several national parks in Washington, such as the North Cascades and Olympic National Park. Numerous Native American tribes still live in Washington, including the Skagit, Snohomish, Yakama, and Tlingit tribes.
Answer:
washington
Step-by-step explanation:
I am on it right now and I looked at the lesson again and it says
13 less than the product of 4 and a number, n, is 5
Answers
The value of n which makes the statement "13 less than the product of 4 and a number, n, is 5" true, is 4.5.
How to write algebraic expression?Algebraic expression are the expression which consist the variables, coefficients of variables and constants.
The algebraic expression are used represent the general problem in the mathematical way to solve them.
The statement given in the problem is "13 less than the product of 4 and a number, n, is 5".
Here, the 13 less than the product of n and 4 (n×4-13) is equal to the number 5. In the equation form,
[tex]4\times n-13=5[/tex]
Add number 13 both side and simplify it further,
[tex]4\times n-13+13=5+13\\4n=18\\n=\dfrac{18}{4}\\n=4.5[/tex]
Thus, the value of n which makes the statement "13 less than the product of 4 and a number, n, is 5" true, is 4.5.
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put these into slope intercept form
x + 3y ≤ 8
x + y ≥ 2
Answers
Slope intercept form is y = mx + b
[a] x + 3y ≤ 8 becomes y ≤ -[tex]\frac{1}{3}[/tex]x + [tex]\frac{8}{3}[/tex]
We subtract x from both sides of the equation.
Then we divide both sides of the equation by three.
x + 3y ≤ 8
3y ≤ -x + 8
y ≤ -[tex]\frac{1}{3}[/tex]x + [tex]\frac{8}{3}[/tex]
[b] x + y ≥ 2 becomes y ≥ -x + 2
We subtract x from both sides of the equation.
x + y ≥ 2
y ≥ -x + 2
Anyone can answer this ?
Answers
Answer:
NOT nets = A, C, D, F
Nets = B, E, G, H
Figure B (Triangular prism)
SA: 3 rectangles + 2 triangles
Rectangles: (20·8) + (20·10) + (20·6) = 480 ft²
Triangles: (8·6)/2 + (8·6)/2 = 48 ft²
Total SA: 528 ft²
Figure E (Square pyramid)
SA: 1 square + 4 triangles
Square: 10·10 = 100 yd²
Triangles: (12·10)/2 + (12·10)/2 + (12·10)/2 + (12·10)/2 = 240 yd²
Total SA: 340 yd²
Figure G (Rectangular prism)
SA = 2 wide rectangles + 4 narrow rectangles
Wide: (7·11) + (7·11) = 154 cm²
Narrow: (2·7) + (2·7) + (11·3) + (11·3) = 94 cm²
Total SA: 248 cm²
Figure H (Cube)
SA = 6 squares
Squares: 6 x (1·1) = 6 m²
Total SA: 6 m²
I hope this helps and God bless!
Line p goes through the origin and contains the point (-2,-5). Which
equation represents line p?
Answers
[tex]\stackrel{origin}{(\stackrel{x_1}{0}~,~\stackrel{y_1}{0})}\qquad (\stackrel{x_2}{-2}~,~\stackrel{y_2}{-5}) ~\hfill \stackrel{slope}{m}\implies \cfrac{\stackrel{rise} {\stackrel{y_2}{-5}-\stackrel{y1}{0}}}{\underset{run} {\underset{x_2}{-2}-\underset{x_1}{0}}}\implies \cfrac{-5}{-2}\implies \cfrac{5}{2}[/tex]
[tex]\begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{0}=\stackrel{m}{\cfrac{5}{2}}(x-\stackrel{x_1}{0})\implies y=\cfrac{5}{2}x[/tex]
t takes 12 hours for half of the He in a container to leak out. If the same container is refilled with Ne, how long will it take for half of the Ne to leak out
Answers
The time taken by the Ne to come out of the container will be 26.83 hours
What will be the time?Here it is given in the question that it takes 12 hours for half of the He in a container to leak out If the same container is refilled with Ne then time taken by the Ne gas to leak will be calculated from the formula
[tex]\dfrac{V_{He}}{t_{He}}\times \dfrac{t_{Ne}}{V_{Ne}}=\sqrt\dfrac{M_{Ne}}{M_{He}}[/tex]
Since the volume of both the gases will be same so
[tex]V_{He}=V_{Ne}[/tex]
[tex]\dfrac{t_{Ne}}{t_{He}}=\sqrt5[/tex]
[tex]t_{Ne}=12\times \sqrt5[/tex]
[tex]t_{Ne}=12\times 2.236[/tex]
[tex]t_{Ne}=26.83\ hours[/tex]
Hence the time taken by the Ne to come out of the container will be 26.83 hours
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Bob owns a watch repair shop. He has foundthat the cost of operating his shop is given byc=2x2-192x+54, where c is cost and x is thenumber of watches repaired. How manywatches must he repair to have the lowestcost?
Answers
The solution for the quadratic equation, c(x) = [tex]2x^{2} -192x+54[/tex] is +48.
Bob must repair 48 watches to have the lowest cost.
What is axis of symmetry?
The axis of symmetry formula uses the standard form of the quadratic equation as well as the vertex form.
We have, c(x) = [tex]2x^{2} -192x+54[/tex]
As we know the axis of symmetry, using the formula:
x = [tex]\frac{-b}{2a}[/tex]
In the above equation a = 2; b = -192
x = [tex]\frac{-(-192)}{2 * 2}[/tex]
x= [tex]\frac{192}{4}[/tex]
x = +48
Hence, the number of watches for lowest cost bob must sold is 48 watches.
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Regular decagon with apothem = 10m
Answers
Answer:
What is the question? There is No question to answer
In (circle)A, m∠BAD = 110. Find mDE.
Answers
Answer:
Line BE = 180 degrees
Therefore, angle BAD + angle DAE = 180 degrees
Angle DAE = 180 -110 = 70 degrees
Step-by-step explanation:
Manuel works mowing lawns and babysitting. He earns $8.40 an hour for mowing and $7.60 an hour for babysitting. How much will he earn for 1 hour of mowing and 5 hours of babysitting?
Answers
Answer:
$14.10
Step-by-step explanation:
Answer:
$14.10
Step-by-step explanation:
Can I have help on this?
Answers
Answer:
—4.5 and 0
Step-by-step explanation:
when x=—4.5 and x=0 y is included in the domain.