Answer:
y = 4x + 17
Step-by-step explanation:
y = 1 - 1/4x = - 1/4 x + 1 .... slope -1/4
perpendicular line slope = - (1 / (-1/4) = 4
pass (-3,5): (y-5) / (x - -3) = 4
y-5 = 4x + 12
y = 4x + 17
How do the average rates of change for the pair of functions compare over the given interval?
f(x)=0.9x^2
g(x)=2.7x^2
1≤x≤5
The average rate of change of f(x) over 1 ≤x≤5 is ☐.The average rate of change of g(x) over 1≤x≤5 is ☐.The average rate of change of g(x) is ☐ times that of f(x)
-(Simplify your answers. Type integers or decimals.)
9514 1404 393
Answer:
3 times
Step-by-step explanation:
We observe that both functions are vertically scaled versions of the parent quadratic y = x^2. The ratio of scale factors is 2.7/0.9 = 3. That is, ...
g(x) = 3f(x)
This means that whatever vertical difference f(x) may show over the interval, g(x) will show 3 times that difference.
The average rate of change of g(x) is 3 times that of f(x).
Muse is x years old. muna is 3 years younger than Muse Feisal is as old as Muna. write an expression in terms of x
Answer:
26 years old
Step-by-step explanation:
How much of the circle is shaded?
Answer:
theres no phtoto so i cant see the circle
Step-by-step explanation:
What’s -4 1/2 divided by (-1 3/8) Diving Mixed Numbers with negatives?
Answer:
3 3/11
Step-by-step explanation:
The best way to divide fractions is to not divide them at all.
Convert both mixed numbers into improper fractions.
4 times 2 is 8
8 + 1 is 9
I have 9/2 halves. Don't forget to put the negative back in.
1 times 8 is 8
8 + 3 is 11
I have 11/8 eighths. Dont forget to put the negative back in.
You will end up with
-9/2 ÷ -11/8
Flip the second fraction and change the division sign to a multiply sign
-9/2 × 8/-11
Multiply the numerators together and the denominators together
-9 x 8 and 2 x -11
-72 / -22
Dividing a negative by a negative will give us a positive
72 / 22
Simplify by dividing the top and bottom by 2
36/11
We cannot simplify further. You can answer like this or convert back into a mixed number.
There are 3 sets of 11 in 36, with 3 left over
3 3/11
Answer:
[tex] = - (5 \frac{3}{5} )[/tex]
Step-by-step explanation:
[tex] - 4 \frac{1}{2} \div ( -1 \frac{3}{8} )[/tex]
[tex] = - 4 \frac{1}{2} \div -1 \frac{3}{8} [/tex]
[tex] = \frac{(2 \times ( - 4) + 1)}{2} \div \frac{(8 \times ( - 1) + 3}{8} [/tex]
[tex] = \frac{ - 7}{2} \div \frac{ - 5}{8} [/tex]
[tex]= \frac{ - 7}{2} \times \frac{8}{ - 5} [/tex]
[tex] = \frac{ (- 7 )\times 8}{2 \times ( - 5)} [/tex]
[tex] = \frac{ - 56}{( - 10)} [/tex]
[tex] = - (5 \frac{6}{10} )[/tex]
[tex] = - (5 \frac{3}{5} )[/tex]
Help Simplify Algebraic Expression
x represents a number 11 more than the number added to the difference between the number and 17
how do you find the area of a circle
Answer:
A=πr2
Step-by-step explanation:
Area of a circle is found by the following formula-
Area of Circle = πr^2
Where -
π = pie, value of 3.14 or 22/7
r = radius of a circle
Example -
A circle has a radius of 10 cm. Find the area of the circle.
Solution -
Area of Circle = A=πr^2
A = 3.14*10^2
A= 314 cm
Note - Most preferably, 3.14 is the most common value used for pie. You can also use 22/7, and would end up with roughly the same answer, but it takes more time to solve with a fraction like 22/7.
Hope this Helps! Please Mark Brainliest! Thank You :)
Need help with number 4 and 5
Answer:
4. B
5. D
Step-by-step explanation:
4. Draw a line at angle to the line segment JK.
Then make three arcs on the new line using a compass without changing the setting.
Join the last arc to the endpoint of the line segment (in this case, K) and draw two parallel lines originating from the other two arcs.
5. Recall, there are two lines a and b
where x is the geometric mean.
Draw a line.
Label a point on the line (say, R)
Construct a segment (or arc) with endpoint R and length "a".
Construct a segment (or arc) with length "b" adjacent to the previous segment.
Label the endpoints (say, S and T). The line segment from point RS is "a" and that from point ST is "b".
Construct the perpendicular bisected of segment RT.
Label the midpoint of segment RT.
Using the midpoint as the center and half the length of RT as the radius, construct a semicircle.
At S, construct the perpendicular to segment RT. Label the intersection between the semicircle and perpendicular (say, Y)
SY is the geometric mean.
a/x = x/b is RS/SY = SY/ST
how do you simplify 11 to the power of 6
Answer:
1771561
Step-by-step explanation:
You are referring to
[tex]11 {}^{6} [/tex]
a formula called Power of Power
[tex](11 {}^{2} ) {}^{3} = 121 \times 121 \times 121 = 1771561[/tex]
what is this number in standard form?
5.75 x 10^9
Answer:
5,750,000,000
Step-by-step explanation:
5.75 × 109 written in regular notation is 5,750,000,000
Which also is in standard form
Hope this helps :)
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And have an amazing day <3
round your answer to the nearest hundredth BC= b ? c 2 a
Answer:
1.40
Step-by-step explanation:
When we look at the diagram, we want to find what is opposite and adjacent as well as the hypotenuse to the given degree.
AB = hypotenuse
BC = opposite
AC = adjacent
Since we are looking to find BC and we are given 2 on AC. We have opposite and adjacent which means we are using TOA in SOH-CAH-TOA. So aftrr identifying these, we can set up our equation:
tan (35) = x / 2
Tan(35) is .7002 so we can replace that part of our equation.
.7002 / 1 = x / 2
The 1 is there as a place holder. We can then cross multiply.
1 × x = 1
.7002 × 2 = 1.4004
The answer we have now is 1.4004, but we have to round to the nearest hundredth. So then, our final answer is 1.40.
BC = 1.40
m=y2-y1/x2-x1 solve for x2
Answer:
[tex]x2=\frac{y2-y1}{m} +x1[/tex]
Step-by-step explanation:
Step 1: Multiply both sides by (x2-x1)
m(x2-x1)=y2-y1
Step 2: Divide both sides by m
x2-x1=(y2-y1)/m
Step 3: Add x1 to both sides
[tex]x2=\frac{y2-y1}{m} +x1[/tex]
3 (h−9) + 2h = h − 27 + 4h
Answer:
h - any real numberStep-by-step explanation:
3 (h−9) + 2h = h − 27 + 4h3h - 27 + 2h = 5h - 275h - 27 = 5h - 270 = 0h = any number
[tex]\\ \sf\longmapsto 3(h-9)+2h=h-27+4h[/tex]
[tex]\\ \sf\longmapsto 3h-27+2h=5h-27[/tex]
[tex]\\ \sf\longmapsto 5h-27=5h-27[/tex]
[tex]\\ \sf\longmapsto 5h-5h=-27+27[/tex]
[tex]\\ \sf\longmapsto 0=0[/tex]
The expression has no solutions
Hey um... I have a question about Cumulative frequency diagram. Its in the picture. Please help I will give you reward I promise. If you need any clarification I will respond.
Reward: 30 pts
Answer: see below
Step-by-step explanation:
(i)
200/2 = 100
Find 100 on cumulative frequency and the correspinding time: 14 minutes. So the answer is 14 minutes.
(ii)
First, find the lower quartile —> 200/4 = 50
Upper quartile —> 200/(3/4) = 150
Find the difference: 150 - 50 = 100
So the interquartile range is 100
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I provide detailed explanations for math questions for as little as $1!
Find the prime factorization of 560 using exponents.
Answer:
2*2*2*2*5*7= 560
Step-by-step explanation:
please mark brainiest hope it works out for you
Answer:
2^4*5*7
Step-by-step explanation:
2^4*5*7
Help---I dont understand!! :(
Answer:
it should be c
Step-by-step explanation:
on edg hope this helps
= f(x) = (x - 1)
4
4
2
-27
Describe the error in graphing the function
Step-by-step explanation:
I don't know how to do any of these if you could give me another question that's possibly easier
Answer:
f(4) = (4-1) = 3
f(2) = (2-1) = 1
f(-27) = (-27 -1) = -28
There isn't any error while describing the functions and everything looks fine.
If you still have problem then send the question again with the image of your book.
Step-by-step explanation:
I hope this helps ☺️❤️
The previous balance shown on Hector Cortez’s savings account statement is $706.31. He receives $4.39 in interest, makes $876.46 in deposits, and has $200.06 in withdrawals. What is his new balance?
Answer:
I'm sorry I don't have the answer but I can't find the way to ask a question I could once and not anymore but I will try to help with your problem
A meteorological office keeps records of the annual precipitation in different cities. For one city, the mean annual precipitation is 34.3 and the standard deviation of the
annual precipitation amounts is 4.7. Let x represent the annual precipitation in that city. Determine the z-score for an annual precipitation in that city of 32.3 inches
Round to two decimal places.
A. -0.43
B. 0.8
c. 14.17
D. 0.43
Answer:
z
Step-by-step explanation:
The Z score is the number of standard deviations a randomly selected value is from the population mean. Using a Z look-up table, the Z score can be converted into the probability of drawing the value from the population.
Answer and Explanation: 1
Become a Study.com member to unlock this answer! Create your account
The answer is a. 1.86
The equation for Z score is:
Z
=
(
X
−
μ
)
/
σ
Where:
Z
is the Z score
X
is the value under...
See full answer below.
9514 1404 393
Answer:
A. -0.43
Step-by-step explanation:
The z-score is computed from ...
z = (x -μ)/σ
z = (32.3 -34.3)/4.7 ≈ -0.4255 ≈ -0.43
You have 28m of fencing to make a rectangular garden. What different sizes of rectangular gardens could you make with this fencing? Illustrate. What gardens could you not make? What is the largest garden you could makeI'll
The area of a shape is the amount of space it occupies.
The largest garden you could make is 49 square meters
The perimeter is given as:
[tex]\mathbf{Perimeter = 28}[/tex]
This is calculated as:
[tex]\mathbf{2 \times (Length + Width) = 28}[/tex]
Divide by 2
[tex]\mathbf{Length + Width = 14}[/tex]
This means that, the sum of the dimensions must equal 14.
So, the possible dimensions are:
1 by 13 meters2 by 12 meters3 by 11 meters4 by 10 meters5 by 9 meters6 by 8 meters7 by 7 metersThe garden with the largest dimension is: 7 by 7 meters.
So, the area of garden is:
[tex]\mathbf{Area = 7m \times 7m}[/tex]
[tex]\mathbf{Area = 49m^2}[/tex]
The largest garden you could make is 49 square meters
Read more about areas at:
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I need help ASAP !!!!!
Answer:
the answer is -352..........
a) Fill in the blanks to show what the next three numbers are in the following sequence.
28 , 37 , 46 , 55 , 64 ,
,
,
b) Is the sequence arithmetic, geometric or neither?
Answer:
a) 73, 82, 91
b) arithmetic
Step-by-step explanation:
a) We add 9 after each term, making the common difference 9.
As such, 64 + 9 = 73
73 + 9 = 82
82 + 9 = 91
b) This sequence is arithmetic because it has a common difference, if it had a common ratio, it would be geometric.
Show that 2 is a zero of multiplicity 3 of the polynomial f(x)=2x^5-7x4-9x^3+62x^2-76x+24 and express the polynomial as a product of linear functions.
Answer:
Step-by-step explanation:
1/9 divided by 8/7 =_ the lesson is called dividing fractions
Answer:
[tex] \frac{7}{72} [/tex]
Step-by-step explanation:
The question is :
[tex] \frac{1}{9} \div \frac{8}{7} [/tex]
We need to take the reciprocal which means invert the :
[tex] \frac{8}{7} [/tex]
So, it will be :
[tex] \frac{1}{9} \times \frac{7}{8} [/tex]
After that , do 1 × 7 on numerator and 9 × 8 on denominator....
After multiplication you'll get :
[tex] \frac{7}{72} [/tex]
1/9 divided by 8/7 is equal to 7/72.
To divide fractions, you can use the following rule: invert the second fraction and multiply it by the first fraction.
In this case, you have:
1/9 ÷ 8/7
To divide, we invert the second fraction:
1/9 × 7/8
Next, multiply the numerators (top numbers) together and the denominators (bottom numbers) together:
(1 × 7) / (9 × 8)
This simplifies to:
7/72
Therefore, 1/9 divided by 8/7 is equal to 7/72.
Learn more about dividing fractions click;
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What is the slope of the line represented by the table of values?
A.)6
B.)- 4
C.)1/6
D.)−1/4
Answer:
Slope = - 4
Step-by-step explanation:
(-2,8) and (0,0)
(8-0)/(-2-0)
= 8/-2
Answer:
Slope = -4
Step-by-step explanation:
Please give brainliest :)
if i have a cupcake tree growing 4 cupcakes every 5 hours for ten hours how many cupcakes do i have
Answer: 8 cupcakes.
Step-by-step explanation:
4 cupcakes every 5 hours implies that 4 cupcakes grow in the span of 5 hours. if this is a ten hour period as the question states, then you have 8 cupcakes, as 4 cupcake batches grew twice in that 10 hour span.
NO LINKS HELP PLEASE PLEASE EXPLAIN
Answer: 1,278
Step-by-step explanation: 2(18x18)+2 1/2(18x14)
p.e.m.d.a.s. 18x18= 324 18x14= 252
2x324= 648 2.5x252=630
648+630 =1,278
Find f(7) for
the function
below.
F(x)=1/2 x 2^x
64
Step-by-step explanation:
[tex]\begin{aligned}\rm f(x)&=\rm\frac{1}{2}\times 2^x\\\rm f(7)&=2^{-1}\times 2^7\\&=2^{-1+7}\\&=2^{7-1}\\&=2^6\\&=2^6\\&=\bf 64\end{aligned}[/tex]
Which steps will eliminate y from the given system of equations?
2x + 3y = 6
3x – 2y = 4
Answer:
the answer is second choice.
Item 5
Multiply.
[−4 2/7⋅(−18)]⋅(−3 8/9)⋅(−1)
What is the product?
Enter your answer in the box. ANSWER FASST PLZZ 25 POINT
Answer: 300.3858/ maybe 300.385
Step-by-step explanation: 4 2/7 as decimal= 4.29 x (-18) = -77.22 x -3.89= 300.3858 (3.89 = decimal form of -3 8/9) 300.3858 x 1 = 300.3858
Determine whether 7 is a solution of the equation 2x-5=3
Answer:
No, it is not a solution
Step-by-step explanation:
First let's simplify 2x - 5 = 3
2x - 5 = 3 (add 5 to both sides)
2x - 5 + 5 = 3 + 5
2x = 8 (divide both sides by 8)
2x ÷ 2 = 8 ÷ 2
x = 4
As you can see, 7 is not a solution for 2x - 5 = 3
We can double check by substituting 7 for x:
2(7) - 5 = 3
14 - 5 = 3
9 ≠ 3
-Chetan K