Answer:
[tex]\bold{y=(x+5)^2-27}[/tex]Step-by-step explanation:
[tex]y = x^2+ 10x - 2\\\\y = x^2+ 2\cdot x\cdot5+5^2-5^2 - 2\\\\y=(x+5)^2-25-2\\\\y=(x+5)^2-27[/tex]
Amelia practices the piano 980 minutes in 4 weeks. At what rate did she practice, in minutes per day?
Answer:
35 minutes a day.
Step-by-step explanation:
4*7=28
980/28=35
Answer:
35
Step-by-step explanation:
980 divided by 28 (days in a month)
Explain how to write fractions with denominators of 10 and 100 as decimals.
To write fractions with denominators of 10 and 100 as decimals, the position of the zero to the right of the number in the numerator is shifted a number of places left depending on the power of 10 in the denominator
Reason:
Examples of fractions that has 10 and 100 as denominators are;
[tex]\dfrac{9}{10}, \ \dfrac{15}{100}, \ \dfrac{5}{100}[/tex]
The steps to express the above fractions as decimals are;
Place a decimal point to the right to the number in the numerator as follows;
[tex]\dfrac{9.}{10}, \ \dfrac{15.}{100}, \ \dfrac{5.}{100}[/tex]
Move the decimal point to the left a number of places equal to the number of zeros in the denominator
Where the denominator is a 10, the decimal point is moved left one place and place a zero to the left of the decimal point
Where the denominator is a 100, the decimal point is moved left two places, as follows;
[tex]\dfrac{9.}{10} = 0.9, \ \dfrac{15.}{100} = 0.15, \ \dfrac{5.}{100}= 0.05[/tex]
Therefore, the decimal point is moved left depending on the number of zeros or the power of 10 in the denominator
100 = 10² in the denominator (move the decimal point two places left)
10 = 10¹ in the denominator (move the decimal point one place left)
Learn more here:
https://brainly.com/question/3425446
The rectangle below has an area of 8x^5+12x^3+20x^28x 5 +12x 3 +20x 2 8, x, start superscript, 5, end superscript, plus, 12, x, cubed, plus, 20, x, squared. The width of the rectangle is equal to the greatest common monomial factor of 8x^58x 5 8, x, start superscript, 5, end superscript, 12x^312x 3 12, x, cubed, and 20x^220x 2 20, x, squared.
The question is incomplete. Here is the complete question.
The rectangle bleow has an area of [tex]8x^{5}+12x^{3}+20x^{2}[/tex]. The width of the rectangle is equal to the greatest common monomial factor of [tex]8x^{5},12x^{3},20x^{2}[/tex]. What is the length and width of the rectangle?
Answer: width = [tex]4x^{2}[/tex]
length = [tex]2x^{3}+3x+5[/tex]
Step-by-step explanation: Greatest common factor is the largest number that will divide into that number without rest, i.e., it's a number that will result in an exact division. The same can be applied to a polynomial.
To find the greatest common factor:
1) Write each in prime factored form:
2.2.2.x.x.x.x.x + 2.2.3.x.x.x + 2.2.5.x.x
2) Identify the common factor among the terms:
For this polynomial, the repetitive factor is [tex]4x^{2}[/tex]
Therefore, the width of the rectangle is:
w = [tex]4x^{2}[/tex]
Area of a rectangle is the multiplication of width and length, so:
[tex]A=w*l\\l=\frac{A}{w}[/tex]
To calculate length, we will have to divide polynomials:
[tex]l=\frac{8x^{5}+12x^{3}+20x^{2}}{4x^{2}}[/tex]
[tex]l = 2x^{3}+3x+5[/tex]
Width and length of the rectangle are 4x² and [tex]2x^{3}+3x+5[/tex], respectively.
Which equation represents a line that passes through (5, 1) and has a slope of 1/2?
y-5= 1/2(x-1)
y-1/2=5(x-1)
y-1=1/2(x-5)
y-1=5[x-1/2]
Step-by-step explanation:
Hey there!
The given point is (5,1) and slope is 1/2.
Let's use one point formula for finding the eqaution.
[tex](y - y1) = m(x - x1)[/tex]
Keep all values.
[tex](y - 1) = \frac{1}{2} (x - 5)[/tex]
This matches with Option C,
So, your answer is Option C.
Hope it helps...
Camillo needs 2,400 oz of peanut butter.
What size container should Camillo buy?How many of those containers will he need?What will be the total cost of those containers?
Answer:
1. 32
2. 75
3. 384
Step-by-step explanation:
I did the assignment, on EDGE2020 and got it correct
CAN SOMEONE PLEASE HELP ME ASAP PLEASEE ANYBODY LITERALLY ANYONE OUT THERE PLEASE. Determine m∠ABQ and determine m∠BCR.
Answer:
ABQ = 139
BCR is the same as QBC since they are alternate interior angles
BCR = 41
Step-by-step explanation:
CBQ and SCB are same side interior angles so they add to 180
2a-9 + 5a +14 = 180
Combine like terms
7a +5 = 180
Subtract 5 from each side
7a = 175
Divide by 7
7a/7 = 175/7
a = 25
ABQ is the same as SCB since they are corresponding angles so
ABQ = SCB = 5a+14 = 5*25+14 = 125+14 = 139
BCR is the same as QBC since they are alternate interior angles
BCR = QBC = 2a-9 = 2*25 -9 = 50-9 = 41
which number has a 9 that is 1/10 the value of the 9 in 296?
Which of the statements below is a true statement about irrational numbers?
A.Irrational numbers are numbers whose decimal equivalent is repeating and non-terminating.
B.Irrational numbers are numbers whose decimal equivalent is non-repeating and terminating.
C.Irrational numbers are numbers whose decimal equivalent is repeating and terminating.
D.Irrational numbers are numbers whose decimal equivalent is non-repeating and non-terminating.
Answer:
b
Step-by-step explanation:
Irrational numbers are numbers whose decimal equivalent is non-repeating and terminating.
What is the place value of 7 in 7,000.2
Answer: The thousands place
Step-by-step explanation: the two is the tenths place, all the 0 are one, tens, and hundreds place
Dalia bought a few swirl marbles and divided it equally among four of her friends and her brother, Jake. While playing, Jake lost 2 marbles and has only 7 marbles at present. Write the equation to be used to solve this equation.
Answer:
45÷5=9-2=7 is this the equation took so long but got the right answer
The volume of a cube with sides of length s is given by V = s^3. Find the rate of change of the volume with respect to s when s = 8 centimeters.
Answer:
[tex]V'(8)=192\text{ cm}^2[/tex]
Step-by-step explanation:
We have the volume of a cylinder:
[tex]V=s^3[/tex]
To find the rate of change of the volume with respect to s, we will take the derivative of both sides with respect to s. So:
[tex]\frac{d}{ds}[V]=\frac{d}{ds}[s^3][/tex]
Differentiate. Use the power rule:
[tex]V'(s)=3s^2[/tex]
So, to find the rate of change of the volume when s is 8 centimeters, substitute 8 for s:
[tex]V'(8)=3(8)^2[/tex]
Evaluate:
[tex]V'(8)=192\text{ cm}^2[/tex]
what is 9 1/2 - 5 7/12 =
Answer:
47/12, or 3 11/12
Step-by-step explanation:
9 1/2 - 5 7/12 > convert to improper fractions
19/2 - 67/12
make same denominator (12)
19/2 * 6 = 114/12
114/12 - 67/12 = 47/12
Answer:
47/12
Step-by-step explanation:
19/2-5 7/12= 19/2- 67/12=47/12
X to the power of 2 plus Y to the power of 2 plus 4x-2y=1
The equation of a circle in a xy plane is shown above. what is the radius of the circle.
A) 2
B) 3
C) 4
D) 9
I have no idea what the answer is
Answer:
sfddddddgfd
Step-by-step explanation:
ryan took a history test with 25 questions. 60% of the questions were multiple choice. How many questions were multiple choice?
Answer:
15
Step-by-step explanation:
Factor 3y3 – 9y2
The factored polynomial is
Answer:
Factor 3y23y2 out of 3y33y3.
3y2(y)−9y23y2(y)-9y2
Factor 3y23y2 out of −9y2-9y2.
3y2(y)+3y2(−3)3y2(y)+3y2(-3)
Factor 3y23y2 out of 3y2(y)+3y2(−3)3y2(y)+3y2(-3).
3y2(y−3)
Step-by-step explanation:
mark me the brainliest please
.
The diameter of the handle of a softball bat is inches. What is the length in inches of the diameters of 8 if these bat handles?
The diameter of the handle of a softball bat is 1 ¾ inches.
Step-by-step explanation:
The charge for a cab ride in one city is modeled by the function f(m)=4+2.5m where m is the number of miles driven. What is the charge for a 12 mile cab ride?
Answer:
34
Step-by-step explanation:
Plugin 12 for x
f(12)=4+2.5(12)
2.5 times 12=30
30+4=34
Question 13 - 8 Points
Oct 16, 10:44:33 PM
The Cowboys have 300 followers on social media. Hey are gaining 25 per day. The
Saints have 700 followers, but are losing 15 per day. How many days will it take for
the teams to have the same number of followers?
O 10
O 15
Submit Answer
O 25
O 6
Privacy Policy Terms of Service
Copyright 2020 Delta
Answer:
10 days: ofc there is an easier way to do this but i did my own way down below :)
Step-by-step explanation:
in 1 day
cowboys: 300+25 is 325
saints: 700-15=685
in 2 days:
cowboys: 325+25 is 350
saints: 685-15 is 670
in 3 days:
cowboys: 350+25 is 375
saints: 670-15 is 655
in 4 days:
cowboys: 375+25 is 400
saints: 655-15 is 640
in 5 days:
cowboys: 400+25 is 425
saints: 640-15 is 625
in 6 days:
cowboys: 425+25 is 450
saints: 625-15 is 610
in 7 days:
cowboys: 450+25=475
saints: 610-15 is 595
in 8 days:
cowboys: 475+25 is 500
saints: 595-15 is 580
in 9 days:
cowboys: 500+25 is 525
saints: 580-15 is 565
in 10 days:
cowboys: 525+25 is 550
saints: 565-15 is 550
in 10 days, they will have the same number of followers
Elena is making an open-top box by cutting squares out of the corners of a piece of paper that is 11 inches wide and 17 inches long, and then folding up the sides. If the side lengths of her square cutouts are inches, then the volume of the box is given by V(x)=x(11-2x)(17-2x)
Answer:
Step-by-step explanation:
Refer the attached picture for complete question
a) V(x)=x(11-2x)(17-2x)
B(x)=140
Side and volume cannot be negative
So, x> 0
11-2x>0 and 17-2x>0
[tex]x<\frac{11}{2}[/tex] and [tex]x< \frac{17}{2}[/tex]
Domain for V(x) :[tex]0<x<\frac{11}{2}[/tex]
b)For finding the greatest Volume
[tex]\frac{dV}{dx}=0[/tex]
[tex]V(x)=x(11-2x)(17-2x)=4x^3-56x^2+187x[/tex]
[tex]\frac{dV}{dx}=12x^2-112x+187=0\\x=\frac{-b\pm\sqrt{b^2-4ac}}{2a}\\x=\frac{112\pm\sqrt{(112)^2-4(12)(187)}}{2(12)}[/tex]
x=7.155 , 2.177
Consider the graph
So, Volume at 7.155 is negative
Thus x≈2 gives the greatest volume
c)
Consider the graph .
It is increasing from [tex]-1 \leq x \leq 2[/tex] and [tex]x \geq 7[/tex]
So, Graph increasing interval is [-1,2] ∪[7,∞)
d)
At the point of intersection, both graph has the same value .
x^2/(x+2) + 2 (x+2)/x^2 = 3 solve
please help me with steps
this photo which I attached is steps of solution and the answer.
I NEED HELP ASAP PLEASE!
Answer:
AB = 2
Step-by-step explanation:
Using the secant- secant theorem, that is
PA × PB = PD × PC , substitute values
10(10 + AB) = 8(8 + 7)
100 + 10AB = 8 × 15 = 120 ( subtract 100 from both sides )
10AB = 20 ( divide both sides by 10 )
AB = 2
I need helps please and ty
Answer:
y=7x+4
Step-by-step explanation:
Values of x and y satisfy the equation y=7x+4
which number is a perfect cube 25 36 100 64
Answer:
The answer is 64
Step-by-step explanation:
A perfect cube is a number that is the cube of an integer. Some examples of perfect cubes are 1, 8, 27, 64, 125, 216, 343, ..
stion 2
What is the value for y in the following expression
when x = 20
y= -2x + 8
See attachment for math work and answer.
4) Simplify: 312 = 34
A
38
B
9.176
33
18
Answer:
D6td6z6rduyxux7ydy7diyxyixyixuo is a solution of the linear equation 5x and
Please Help!
Subtract.
(2x^4−x^2+5x−2)−(−x^4+3x^3+2x^2−1)
Answer:
Heya!!
here's your answer
3x^4 − 3x^3 − 3x^2 + 5x −1
y - 6 = 4(1 – 4)
W
Which of the following shows a graph of the equation above?
rr
+ Y
8
6
2
-2
1:
X
-E
2
6
8 x
-2
Fo
W.
X.
V
Y
x
Y
z.
y-6 =4 (1-4)
y-6=-12
y=-6
Answer:y= -6
From 24 grams to 96 grams ( percent change )
Answer:
i think it is 300%
Step-by-step explanation:
can you help me with my geometry homework, I will give a brainlist.
Answer:
i can explain it to you.
Step-by-step explanation:
SO first you're going to label the graph with the munbers. If you don't know how they go just search one up because they all look the same.
Then you're going to place them on the coordinates that they correspond to. (x,y)
Then for the rotation you're going to move it 90* clockwise which would be right but in the shape of a circle. But you have to connect the dots.
Basically you're just laying it down on its side to the right.
Hope this helps. :)
2 trapezoids are shown. Trapezoid 1 has points A (negative 7, 0), B (negative 5, 3), C (negative 1, 3), and D (negative 1, 0). Trapezoid 2 has points A prime (1, negative 3), B prime (3, 0), C prime (7, 0), and D prime (7, negative 3).
Which rule describes the translation?
Answer:
The answer is C
Step-by-step explanation:
Because I said so
Answer:
C. (x, y) -> (x + 8, y - 3)
Step-by-step explanation:
Hope this helps! :D