Answer:
(x - 1)² + 16
Step-by-step explanation:
x² - 2x + 17 = 0Subtract 17 from both sides of the equation.
x² - 2x = -17Use the formula (b/2)² to see which number you have to add to both sides.
(-2/2)² = 1Add 1 to both sides of the equation.
x² - 2x + 1 = -17 + 1Factor the left side of the equation into a perfect square.
(x - 1)² = -16Add 16 to both sides of the equation.
(x - 1)² + 16(x - 1)² + 16 is the equation in standard form (x² - 2x + 17) rewritten by completing the square.
What's the distance between -19 and 82?
Answer:
101
Step-by-step explanation:
Of 120 owners of reptiles surveyed, 27 own snakes as pets. What percent of
the reptile owners own snakes as pets?
Answer:
22.5%
Step-by-step explanation:
Help please!!
Rogelio has $34 and he wants to buy a jacket for $75. He works with
his uncle on the weekends for $8 an hour.
Which inequality represents the number of hours (h) Rogelio could
work to earn at least enough money to buy the jeans?
Which table represents the function?
Identify the Slope and y - intercept with this given equation y = 3x + 4
Answer:
Slope =3
Y- intercept =(0,-4)
Step-by-step explanation:
Which of the following best describes the diagonal cross-section of a basketball?
Rectangle
Circle
Triangle
Square
Answer:
circle
Step-by-step explanation:
the answer is circle!!!
The diagonal cross-section of a basketball is Circle.
What is diagonal cross-section of sphere?When a plane cuts a sphere from any point on it, we get a circle. The size of the cross section may vary depending on the point of intersection of plane and sphere. If the plane passed through the center of sphere, then it divides the sphere into two equal parts (i.e. hemisphere).
According to the question
The diagonal cross-section of a basketball
as basketball is sphere in shape
And , The diagonal cross-section of a sphere is Circle.
Hence, The diagonal cross-section of a basketball is Circle.
To know more about diagonal cross-section here:
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hi i would rly appreciate ur help on this. I need to write these expressions as products:
1. ((a+1)^3)+(x^3)
2. ((y-2)^3)-27
3.((a-b)^3)+b^3
4. (8x^3)+((x-y)^3)
5. (27a^3)-((a-b)^3)
Thank you so much i rly appreciate it
Answer:
1.) ((a+1)^3)+(x^3) = a^3 + 3a^2 + 3a + x^3 + 1
2.) ((y-2)^3)-27 = (y^2-y + 7) x ( y - 5 )
3.) ((a-b)^3)+b^3 = a (a^2 - 3ab + 3b^2 )
4.) (8x^3)+((x-y)^3) = 9x^3 -3x^2 y + 3xy^2 - y^3
5.) (27a^3)-((a-b)^3) = 26a^3 + 3a^2 b - 3ab^2 + b^3
5) factor = (a+b)(a+b)^ 2 if a is squared and if b is cubed and moved over to = 0 then we can find (a+b)(a+b)^2 but in all cases of quadratics you can set (x -1 ) = 1 and (x-1 ) = 1 so they are always positive. Which is the same if they start of negative.
For question 5 we have a factor solved (a+b)(a+b)^ 2
Which means the same as this expansion
(
using the coordinate plane what is the equation for the line on the graph?
Which is the equation of a line with a slope of -1 and a y-intercept of -6?
A y = -6x - 1
B y = -x - 6
C y = x - 5
D y = x + 6
Answer:
B
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Here m = - 1 and c = - 6 , then
y = - x - 6 → B
HELP NEED THIS FOR A TEST!!! 20 POINTS!!
Diego's family car holds 14 gallons of fuel. Each day the car uses 0.6 gallons of fuel. A warning light comes on when remaining fuel is 1.5 gallons or less.
Answer:
a.
capacity of car = 14 gallons
consumption of fuel in one day = 0.6 gallons
consumption of fuel in 14 days = 14 x 0.6 = 8.4 gallons
fuel remaining in car = 14 - 8.4 = 5.6 gallons
so they can drive the car without warning.
b.
consumption of fuel in one day = 0.6 gallons
consumption of fuel in 25 days = 25 x 0.6 = 15 gallons
fuel remaining in car = 14 - 15 = -1 gallons
so they can't drive the car without warning.
c.
the expression 14 - 0.6t represents remaining fuel in the vehicle, where t represents number of days.
d.
14 - 0.6t = 1.5
or - 0.6t = 1.5 - 14 = - 12.5
or t = -12.5 / - 0.6
or t = 20.8333 days
so he can drive 20 days without warning. E.
14 - 0.6t < 1.5
or t < 20.8333
here t represents number of days car can drive without warning light.
Step-by-step explanation:
The inequality is
The maximum number of days that Diego's father can drive the car without the warning light coming on is 20 days
14 gallons-1.5 gallons=12.5 gallons
we know that
If the remaining fuel is greater than 1.5 gallons Diego's father can drive the car without the warning light coming on
so
Let
x ----> the number of days
----> inequality that represent the situation
Solve for x
The maximum number of days that Diego's father can drive the car without the warning light coming on is 20 days
Linda made $228 for 12 hours of work. At the same rate, how many hours would she have to work to make $133?
Step-by-step explanation:
228 ÷12 =19
So 19 dollars per hour
Now 133÷19= 7 hours
If (44)x = 432, what is the value of xIf (44)x = 432, what is the value of x?
4
7
8
28
Answer:
x = 8
Step-by-step explanation:
44x = 432
divide both sides by 44
[tex]\frac{44x}{44} = \frac{432}{44}[/tex]
x = 9.8
since 8 is the closest number, that would be your answer
You told your friend that you could eat 3/5 of a large pizza. If you only ate 1/2 of what you said you could eat, what fraction of a large pizza did you eat?
Answer:
3/10
Step-by-step explanation:
3/5 is equal to 6/10, and half of 6/10 is 3/10
Answer:
3/10
Step-by-step explanation:
Amount of pizza u told= 3/5
Amout u could eat of wht u told = 1/2
Amount u could eat of pizza = 3/5 x 1/2 = 3/10
(calculation attached below)
I hope im right!!
please help its due tomorrow!!
what dose -0.1c = -10 equal
What is the image point of (2, 4) after a translation left 4 units and
down 1 unit?
Which statement is true about a trend line?
A regression line and a trend line our opposite terms.
A regression line and trend wine are equivalent terms.
A trend line represents only the smallest data points.
A trend line represents only the largest data points.
Answer:
I would say the answer is D.
Step-by-step explanation:
A trend line shows the trend ( the average) so it would use the largest data points.
I need help with the bottom part I know the top parr
Michael starts a website for people in his town to share news and photos. Before launching the website, he has his friends and family sign up. Then, he uses the equation shown to estimate the number of users, y, who will have signed up x weeks after he officially launches the website.
y = 82 ( 1.045 ) x
What is the rate of growth Michael expects each week after launching the website?
A. 104.5%
B. 95.5%
C. 4.5%
D. 0.045%
Answer:
Michael starts a website for people in his town to share news and photos. Before launching the website, he has his friends and family sign up. Then, he uses the equation shown below to estimate the number of user, y, who will have signed up x weeks after he officially launches the website.
y = 82(1.045)x
What is the rate of growth Michael expects each week after launching the website?
The answer will be %0.045
Step-by-step explanation:
The rate of growth Michael expects each week after launching the website is 4.5%.
Given that,
The function is y = 82 (1.045)x.We need to find the rate of growth.Based on the above information, the calculation is as follows:
Since 1.045 is given so this means 4.5% is the growth rate.
Therefore we can conclude that the rate of growth Michael expects each week after launching the website is 4.5%.
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Write the equation in slope-intercept form: 2x + y =3
y= 2x + 3
y= -2x -2
y= -2x + 3
y= 2x-3
Giving brainliest!!!Please help.. :(
Select the statement that describes this expression: 5 x (3 + 4) − 4.
A) 5 times the sum of 3 and 4, then subtract 4
B) 5 times 3 plus 4 minus 4
C) 5 more than the sum of 3 and 4, and then subtract 4
D) 5 times 3 plus the difference of 3 and 4
A is the answer 5 times the sum of 3 and 4 then subtract 4
Answer:
A
Step-by-step explanation:
A the anser is A deal with it...
A Ferris wheel 72 feet in diameter makes one revolution every 122 sec. The center of the wheel is 50 feet above the ground. Let’s assume the passengers start the ride at time t = 0 seconds at the lowest point on the ride. Consider the periodic function that models the height of a passenger on the Ferris wheel over time
Answer:
122
Step-by-step explanation:
122x1
wait no....
answer: 72x122
The diagram below shows a banquet hall’s plans to install a new dance floor.
What is the area of the new dance floor in square feet?
Answer:
333 ft squared
Step-by-step explanation:
18 x 18.5 = 333
Show that the two triangles given beside are similar and calculate the lengths of sides PQ and PR.
9514 1404 393
Answer:
ΔABC ~ ΔPQRPQ = 8PR = 14Step-by-step explanation:
Angles A and P are marked congruent; angles B and Q are marked congruent, so the triangles are similar by the AA similarity postulate. The similarity statement can be written ...
ΔABC ~ ΔPQR by AA similarity
__
The ratio of sides of PQR to ABC is the ratio QR/BC = 12/6 = 2. That is, each side in the larger triangle is 2 times the length of the corresponding smaller side.
PQ = 2·AB = 2·4 = 8
PR = 2·AC = 2·7 = 14
The side lengths of interest are ...
PQ = 8, PR = 14
What is the percent decrease from 20 to 11?
Answer:
The decrease from 20 to 11 is 9, and that is 45% of 20.
Hope this helps!
Write an equation of the line that passes through the given point and has the given slope.
(4, 3); slope 1/2
Answer:
y = 1/2x + 1
Step-by-step explanation:
m = 1/2
Slope-intercept:
y - y1 = m(x - x1)
y - 3 = 1/2(x - 4)
y - 3 = 1/2x - 2
y = 1/2x + 1
PLEASE HELP ASAP
find JL
Answer:
7
Step-by-step explanation:
pls halp
Which of the following would be the correct formula for determining the volume of the cone shown below?
To decide if 12.5 centimeters is greater than 140 millimeters, the first step is to set up a proportion. Which of the following proportions are correct?
A. 10mm/1cm = x/140mm
B. 1cm/10mm = 12.5cm/x
C. 10mm/1cm = 140mm/x
D. 12.5mm/1cm = 140mm/x
Find the number of possible outcomes. A coffee shop offers small, medium, and large sizes. Customers can choose between French roast, Italian roast, and American roast
PLS HELP! ASAP!!!
Answer:
9
3 different sizes times 3 different flavors.
3x3=9