Answer:
An equation for the nth term of the arithmetic sequence 17, 12, 7, 2 is 17-5n.
Step-by-step explanation:
Given,
first term(a)=17
common difference (d)=t2-t1
=12-17
=-5
nth term of the arithmetic sequence = a+n×d
=17+n×-5
=17-5n
Which set of ordered pairs represent y as a function of x?
a) {(-5,3) (6,2) (8,-9) (-5,4)}
b) {(9,4) (8,4) (9,5) (8,5)}
c) {(6,8) (7,8) (8,8) (9,9)}
d) {(-7,4) (-7,5) (-7,10) (-7,6)}
Answer:
The quadratic equations and their solutions are;
9 ± √33 /4 = 2x² - 9x + 6.
4 ± √6 /2 = 2x² - 8x + 5.
9 ± √89 /4 = 2x² - 9x - 1.
4 ± √22 /2 = 2x² - 8x - 3.
Explanation:
Any quadratic equation of the form, ax² + bx + c = 0 can be solved using the formula x = -b ± √b² - 4ac / 2a. Here a, b, and c are the coefficients of the x², x, and the numeric term respectively.
We have to solve all of the five equations to be able to match the equations with their solutions.
2x² - 8x + 5, here a = 2, b = -8, c = 5. x = -b ± √b² - 4ac / 2a = -(-8) ± √(-8)² - 4(2)(5) / 2(2) = 8 ± √64 - 40/4. 24 can also be written as 4 × 6 and √4 = 2. So x = 8 ± 2√6 / 2×2= 4±√6/2.
2x² - 10x + 3, here a = 2, b = -10, c = 3. x =-b ± √b² - 4ac / 2a =-(-10) ± √(-10)² - 4(2)(3) / 2(4) = 10 ± √100 + 24/4. 124 can also be written as 4 × 31 and √4 = 2. So x = 10 ± 2√31 / 2×2 = 5 ± √31 /2.
2x² - 8x - 3, here a = 2, b = -8, c = -3. x = -b ± √b² - 4ac / 2a = -(-8) ± √(-8)² - 4(2)(-3) / 2(2) = 8 ± √64 + 24/4. 88 can also be written as 4 × 22 and √4 = 2. So x = 8 ± 2√22 / 2×2 = 4± √22/2.
2x² - 9x - 1, here a = 2, b = -9, c = -1. x = -b ± √b² - 4ac / 2a = -(-9) ± √(-9)² - 4(2)(-1) / 2(2) = 9 ± √81 + 8/4. x = 9 ± √89 / 4.
2x² - 9x + 6, here a = 2, b = -9, c = 6. x = -b ± √b² - 4ac / 2a = -(-9) ± √(-9)² - 4(2)(6) / 2(2) = 9 ± √81 - 48/4. x = 9 ± √33 / 4 .
Step-by-step explanation:
Answer with Explanation:
To qualify as a function, each x value may not have more than 1 Y value.
This rules out A, B, and D.
The answer is C.
Why is A incorrect? -5 (the x value) has more than one y value so it is wrong.
Why is B incorrect? 9 (the x value) has more than one y value so it is wrong.
Why is D incorrect? -7 (the x value) has more than one y value so it is wrong.
You can also use the vertical line test to graph these pairs. Then, test by drawing a vertical line through the graph. If the vertical line goes through more than 1 pair, it is not a function.
If x>0 and y=0, Where is the poiny (x,y) located?
Answer:
x-axis
Step-by-step explanation:
y = 0==> x-axis
Answer:
the answer would be x-axis
Help!!! I give CROWN T-T
Answer:
120, remember the angles have to add up to 180
Step-by-step explanation:
Answer:
60 because 30+30=60 and a triangle is 180° so 180-60= 120 and it's a line so 180-120=60 ifykyk
Help me with this ASAP
Answer:
The slope is 3To graph it you should put a point at any of the points that are in the table. Some easy ones are (0,0) and (2,6)Step-by-step explanation:
To find the slope you need to follow the formula shown below.
Slope (m) = ΔY/ΔX
Now solve
ΔY = 6 – 0 = 6
ΔX = 2 – 0 = 2
Write as a fraction
6/2
Convert to a number
6/2 = 3
And you have your slope. Now you just have to plot the points on the graph. As I said before, you can use any two points from the table.
What is 13 divided by 0.22 and round to the nearest hundredth
Answer:
59,09
.........................................................
who is correct Alex or sophia and why?
Answer:
alex
Step-by-step explanation:
Find the area of triangle ABC.
Give your answer correct to 1 decimal place.
А
9 cm
C
10 cm
B
8cm
The area of the triangle ABC is 34.2 square centimeters
How to determine the triangle area?The complete question is in the image
Start by calculating the semi-perimeter using:
s = 0.5 * (a + b + c)
This gives
s = 0.5 * (9 + 10 + 8)
Evaluate
s = 13.5
The area is then calculated as:
[tex]A = \sqrt{s * (s - a) * (s - b) * (s - c)[/tex]
This gives
[tex]A = \sqrt{13.5 * (13.5 - 9) * (13.5 - 10) * (13.5 - 8)[/tex]
Evaluate
A = 34.2
Hence, the area of the triangle ABC is 34.2 square centimeters
Read more about areas at:
https://brainly.com/question/24487155
#SPJ1
Which graph best represente y 6x13
Answer:
B
Step-by-step explanation:
The ratio of yellow sweets to purple sweets is 5:4.
Alice eats 3 purple sweets and the ratio is now 5:3.
Work out how many sweets there were at the beginning.
Answer:
27
Step-by-step explanation:
The ratio of yellow : purple = 5 : 4 = 5x : 4x ( x is a multiplier )
After Alice eats 3 purple sweets, then ratio is
5 : 3 = 5x : 4x - 3
Express the ratio in fractional form, that is
[tex]\frac{5}{3}[/tex] = [tex]\frac{5x}{4x-3}[/tex] ( cross- multiply )
5(4x - 3) = 15x
20x - 15 = 15x ( subtract 15x from both sides )
5x - 15 = 0 ( add 15 to both sides )
5x = 15 ( divide both sides by 5 )
x = 3
Then
number of sweets at beginning = 5x + 4x = 9x = 9(3) = 27
what is 33493.33333 rounded to the nearest tenth?
Answer:
33493.33
Step-by-step explanation:
A science fair has 180 entries. There
are 72 entries from sixth grade
students.
Answer:
40%
Step-by-step explanation:
Total entries= 180
Entries from 6th grade= 72
Percentage = 72/ 180 x 100= 40%
Hope its right!!!
Find the length of side x in simplest radical from with a rational denominator.
Answer:
4
Step-by-step explanation:
The value of the hypotenuse x will be equal to √6.
What are trigonometric identities?Equations involving trigonometric functions that hold true for all possible values of the variables are known as trigonometric identities. The Pythagorean Theorem serves as the basis for some of the most popular trigonometric identities, including.
The study of correlations between triangles' side lengths and angles is known as trigonometry.
Given that the angles are 45 and the base is √3 the hypotenuse will be calculated as,
cosθ = Base / Hypotenuse
cos45 = √3 / x
x = √3 / ( 1 / √2)
x = √6
Therefore, the value of the hypotenuse x will be equal to √6.
To know more about trigonometry follow
https://brainly.com/question/24349828
#SPJ2
Mary has 4 gallons of water. She wants to put 2/3 gallon in each bottle. How many bottles can she fill?
Mary can fill 4 bottles of water.
Mary can fill 14 bottles of water.
none of these
Mary can fill 6 bottles of water.
Answer:
she can fill 6 if them
Step-by-step explanation:
2/3 ÷ 4 = 1/6
x 1 у 3 4 6. 516
What is R
Answer:
the question is not correct. please rewrite the question.
given that ABCD is a parallelogram, find each of the following
AB
AD
< A
< D
Answer:
AB = 8
AD = 10
<A = 118
<D = 62
Step-by-step explanation:
1. AB
Because opposite sides in a parallelogram are equal, DC = AB = 8.
2. AD
Because opposite sides in a parallelogram are equal, BC = AD = 10.
3. <A
Adjacent angles are supplementary in a parallelogram, so A = 180 - 62 = 118
4. <D
Opposite angles are equal in a parallelogram, so B = D = 62
Answer:
AB = 8
AD = 10
m∠A = 28°
m∠D = 62°
Step-by-step explanation:
A few facts to remember about a parallelogram.
1. Opposites sides are congruent
2. Opposites angles are congruent
3. Consecutive angles are complementary
So, AB = 8, AD = 10, m∠A = 90 - 62 = 28°, m∠D = 62°
Please help 2/4
Solve the binomial
4(3d-1)(3d+1)
Answer:Isolate the variable by dividing each side by factors that don't contain the variable.
d=−5
Step-by-step explanation:
8. Calculate the final price including tax for a watch that costs $139.99 that is on sale for 20% off.
a) $158.19
b) $111.99
c) $139.99
d) $126.55
Answer:
should be B
Step-by-step explanation:
however tax rate is different in different states sooo
Given that for all values of
6) = 4x+p
x) = x + 1
and f = 12x + 4
where p and are constants
Work out the values of panda
Answer:
f=−px+8x−2/x
Step-by-step explanation:
its a fraction
Solve the inequality.
x + 7 > 18
The solution is __.
Graph the solution.
Answer:
7+18=25 that's the answer
What is the output of this function when the input is -2?
is it a, b, c, or d?
Answer:
The answer is B. 4,7.5,8
Step-by-step explanation:
Becouse A and C Both of them is Right-angled triangle and D is Obtuse triangle
Andy is buying a car.
He negotiated a 7% decrease on a £6 500 car.
He will pay the full balance in 12 equal monthly payments.
Calculate the amount paid each month.
Answer:
£503.75
Step-by-step explanation:
Andy is buying a car.
Step 1
We calculate the decrease
He negotiated a 7% decrease on a £6 500 car.
Decrease = 7% × £6500
= $455
Step 2
We calculate the new price of the car.
= Old price - Decrease
= £6500 - £455
= £6045
Step 3
We calculate the amount he pays every month.
We are told that:
He will pay the full balance in 12 equal monthly payments.
Andy's monthly payments =
New price/12 months
= £6045/12
= £503.75
Therefore, the amount he would be paying each new month = £503.75
Find the coordinated points which quadrasects the line segments joining the points A(-3,6) and B (4,-2)
Answer:
The coordinated points which quadrasects the line segments joining the points A and B are [tex]\left(-\frac{5}{4},4\right)[/tex], [tex]\left(\frac{1}{2}, 2 \right)[/tex] and [tex]\left(\frac{9}{4},0 \right)[/tex].
Step-by-step explanation:
Let [tex]A(x,y) =(-3,6)[/tex] and [tex]B(x,y) = (4,-2)[/tex], when the line segment is quadrasected, it means that segment is divided into four equal parts. The locations are determined by the following expressions:
[tex]\vec R_{1} = \vec A + \frac{1}{4}\cdot \overrightarrow{AB}[/tex] (1)
[tex]\vec R_{2} = \vec A + \frac{1}{2}\cdot \overrightarrow{AB}[/tex] (2)
[tex]\vec R_{3} = \vec A + \frac{3}{4}\cdot \overrightarrow{AB}[/tex] (3)
Where:
[tex]\overrightarrow{AB} = B(x,y)-A(x,y)[/tex]
[tex]\overrightarrow{AB} = (4,-2) - (-3,6)[/tex]
[tex]\overrightarrow{AB} = (7,-8)[/tex]
The coordinated points which quadrasects the line segments joining the points A and B are, respectively:
[tex]\vec R_{1} = (-3,6)+\frac{1}{4} \cdot (7,-8)[/tex]
[tex]\vec R_{1} = \left(-\frac{5}{4},4\right)[/tex]
[tex]\vec R_{2} = (-3,6)+\frac{1}{2} \cdot (7,-8)[/tex]
[tex]\vec R_{2} = \left(\frac{1}{2},2 \right)[/tex]
[tex]\vec R_{3} = (-3,6)+\frac{3}{4} \cdot (7,-8)[/tex]
[tex]\vec R_{3} = \left(\frac{9}{4},0\right)[/tex]
The coordinated points which quadrasects the line segments joining the points A and B are [tex]\left(-\frac{5}{4},4\right)[/tex], [tex]\left(\frac{1}{2}, 2 \right)[/tex] and [tex]\left(\frac{9}{4},0 \right)[/tex].
messed up and didnt put the attachment on the last post
Answer :-
9(3+√3) feet
Step by step explanation :-
A triangle is given to us. In which one angle is 30° and length of one side is 18ft ( hypontenuse) .So here we can use trignometric Ratios to find values of rest sides. Let's lable the figure as ∆ABC .
Now here the other angle will be = (90°-30°)=60° .
In ∆ABC ,
=> sin 30 ° = AB / AC
=> 1/2 = AB / 18ft
=> AB = 18ft/2
=> AB = 9ft .
Again In ∆ ABC ,
=> cos 30° = BC / AC
=> √3/2 = BC / 18ft
=> BC = 18 * √3/2 ft
=> BC = 9√3 ft .
Hence the perimeter will be equal to the sum of all sides = ( 18 + 9 + 9√3 ) ft = 27 + 9√3 ft = 9(3+√3) ft .
Hence the perimeter of the triangular pathway shown is 9 ( 3 + √3 ) ft .aidez moi en math je donne le maximum des points!
Step-by-step explanation:
[tex]\large \mathcal{Answer}[/tex]
Answer:
Ils sont amicaux, regardez sur le site nosdevoirs
Step-by-step explanation:
Emily is entering a bicycle race for charity. Her mother pledges $0.60 for every 0.5 mile she bikes. If Emily bikes 10 miles, how much will her mother donate?
Seth missed the due date for his credit card payment. His credit card company will
charge him $20 and an APR of 27%. What is the amount of interest he would have to
pay at the 27% APR?
A woman has 31 coins in her pocket, all of which are dimes and quarters. If the total value of the coins is $ 5.65, how many dimes and how many quarters does she have?
Answer:
14 dimes and 17 quarters
Step-by-step explanation:
d and q are the number of dimes and quarters, respectively.
"31 coins, all of which are dimes and quarters."
d+q = 31
d = 31-q
"the value of the coins is $5.65"
0.10d + 0.25q = 5.65
substitution
0.10(31-q) + 0.25q = 5.65
3.10-0.10q + 0.25q = 5.65
0.15q = 2.55
q = 17
d = 31-q = 14
14 dimes and 17 quarters
The recommended daily intake of vitamin C for males 18 years and older is 90 milligrams. If an 18 year-old male has already consumed 36 milligrams of vitamin C, what percentage of the daily recommended amount has he already consumed?
Answer:
40%
Step-by-step explanation:
Mark bought a car for x dollars. One year later the car was 0.85x. What was the percent decrease.
Answer:
[tex]Let~the~percentage~decrease~be~equal~to~y.\\Then,\\0.85x = x-\frac{y}{100}(x)\\or, 0.85x = x-0.01xy\\or, 0.85x = x(1-0.01y)\\or, 0.85 = 1-0.01y\\or, 0.01y = 1-0.85 = 0.15\\or, y =15\\So, ~the~decrease~of~the~price~is~15%.[/tex]
Alternative method:
[tex]Percentage~decrease = \frac{Initial~Rate-Final~rate}{Initial~Rate}(100) \\~~~~~~~~~~~~~~~~~~~~~~~~~~~~~=\frac{1-0.85}{1}(100) = 0.15(100)=15[/tex]
Answer:
thr percent decrease is 15%
Step-by-step explanation:
you get 1.00 which represent beginning price u subtract the current price 1.00-0.85 you get0.15 which is 15%