The value of variable x of provided quadratic function at h(x) = 18 are 6.56 and -0.13. These points explain solution of the equation.
What is quadratic formula?Quadratic formula is the formula which is used to find the roots of a quadratic equation.The standard form of the quadratic equation is,
ax²+bx+c=0
For the above equation, the quadratic formula can be given as,
[tex]x=\dfrac{-b\pm\sqrt{b^2-4ac}}{2a}[/tex]
The equation of variable x is given as,
h(x) = 7x²-45x + 12,
The value of h(x) = 18 has to be found out. Put 18 on the place of h(x) in the above equation.
18 = 7x²-45x + 12
0= 7x²-45x + 12-18
0=7x²-45x -6
Find the roots of the equation using the quadratic formula:
[tex]x=\dfrac{-b\pm\sqrt{b^2-4ac}}{2a}\\x=\dfrac{-(-45)\pm\sqrt{(-45)^2-4(7)(-6)}}{2(-6)}\\x=6.56,-0.13[/tex]
Thus, the value of variable x of provided quadratic function at h(x) = 18 are 6.56 and -0.13. These points explain the solution of the equation.
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Which line plot displays a data set with an outlier?
Answer: See attached, the top right
Step-by-step explanation:
What is an outlier? An outlier, in a data set, is a data value that is outside the overall pattern of distribution.
This means the answer to your question is the top right because the data value of 13 is outside the overall pattern, hence an outlier.
Answer:
The 2nd one on the top
Step-by-step explanation:
It's that one because it goes from 8 to 13 and that's a big jump causing it to be the outlier.
Write the phrase as an expression.
the quotient of seven and a number p
Answer:
The quotient of seven and p
7 / p
Pls answer
100 points!
what is the effect on the graph of the function f(x)= x^2 when f(x) is changed to f( x - 6)
Shifted up
shifted left
shifted right
shifted down
Find shift
f(x-6)
(x-6)²So
f(x)=x²x is decreased 6 units
So
The graph will shift 6 units right
Graph attached
Answer:
shifted right
Step-by-step explanation:
Translations
For [tex]a > 0[/tex]
[tex]f(x+a) \implies f(x) \: \textsf{translated}\:a\:\textsf{units left}[/tex]
[tex]f(x-a) \implies f(x) \: \textsf{translated}\:a\:\textsf{units right}[/tex]
[tex]f(x)+a \implies f(x) \: \textsf{translated}\:a\:\textsf{units up}[/tex]
[tex]f(x)-a \implies f(x) \: \textsf{translated}\:a\:\textsf{units down}[/tex]
Parent function: [tex]f(x)=x^2[/tex]
Translated 6 units to the right: [tex]f(x-6)=(x-6)^2[/tex]
HELP ASAP!! (NO LINKS) WILL GIVE BRAINLIEST
The numbers of inches of rainfall received in eleven cities during April are 10, 12, 18, 12,
14, 19, 20, 9, 15, 17, and 11. identify the box-and-whisker plot for this data.
Answer:
B
Step-by-step explanation:
Median value = 14 ( the number in the middle of the ascending-order list)
2 quartile 25% are below 11
3 quartile 25% are above 18
min 9 max = 20
Answer:
i think it's b
Step-by-step explanation:
To identify the density of a toy made using an unknown material, the toy is dropped into a basin filled with water and found to displace 125.4 mL of water. The figurine is then put on a scale and found to be 1.4 pounds in weight. What is the density of the material that this figurine was made from in pounds/inch^3? (Note: 1 mL = 0.0610237 inch^3)
The density of the material that this figurine was made from in pounds/inch³ is 0.183 lb/in³
To answer the question, we need to know what density is
What is density?Density is the mass per unit volume of a material.
It is given by ρ = m/v where
m = mass of material and v = volume of materialNow, given that the toy is dropped into a basin filled with water and found to displace 125.4 mL of water. It's volume is v = 125.4 mL
= 125.4 × 1 mL
= 125.4 × 0.0610237 in³
= 7.65237198 in³
Also, given that the figurine is then put on a scale and found to be 1.4 pounds in weight. It's mass is m = 1.4 lb
Density of the materialSo, the density of the material ρ = m/v
ρ = 1.4 lb/7.65237198 in³
ρ = 0.183 lb/in³
So, the density of the material that this figurine was made from in pounds/inch³ is 0.183 lb/in³
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Determine the quadrant. I'm doing a final exam and I can't remember how to do this, pls help :)
Answer:
C
Step-by-step explanation:
In the unit circle
cos x corresponds with x
sin x corresponds with y.
Here, they are both negative so the angles lies in the third quadrant because both x and y is negative in the third quadrant
Step-by-step explanation:
the other answer we is correct.
here a few words about why :
the quadrants in a circle start in the right top corner. so, right top is number I.
left top is number II.
left bottom is number III.
right bottom is number IV.
simply because this goes with the growing angle. the angle starts at 0° at the right center. and then it grows counterclockwise and goes all around the circle until reaching 360° being equal to 0° again.
WILL GIVE BRAINLIEST 50 POINTS
1. Are the side lengths congruent?
2. Are the opposite sides parallel?
3. Are the adjacent sides perpendicular?
Answer:
1. Yes, all sides are congruent
2. Yes, the opposite sides are parallel
3. Yes, adjacent sides are perpendicular
Rick's savings account has a balance of $5000. If he does not make a
withdrawal or deposit, how much money will be in Rick's account if it pays an
annual interest rate of 6% for 8 years compounded quarterly?
Answer:
$8,051.62
Step-by-step explanation:
Compound interest formula
[tex]\sf A=P(1+\frac{r}{n})^{nt}[/tex]
where:
A = final amountP = principalr = interest rate (in decimal form)n = number of times interest applied per time periodt = number of time periods elapsedGiven:
P = $5000r = 6% = 0.06n = 4t = 8Substituting given values into the formula:
[tex]\implies \sf A=5000(1+\frac{0.06}{4})^{4 \times 8}[/tex]
[tex]\implies \sf A=5000(1.015)^{32}[/tex]
[tex]\implies \sf A=8051.62\:(nearest\:hundredth)[/tex]
Rate of interest
0.06/4=0.015So
Compound ineterest formula to be used
A=P(1+r)^tA=5000(1+0.015)⁴×⁸A=5000(1.015)³²A=$8051.6The percent of voters between the ages of 18 and 29 that participated in each United States presidential election between the years 1988 to 2016 are shown in the table.
The function P gives the percent of voters between 18 and 29 years old that participated in the election in year t.
Pick two different values of t so that the function has a negative average rate of change between the two values. Determine the average rate of change.
Answer:
1.75
Step-by-step explanation:
Finding average rate of change :
A(x) = 42.7 - 35.7 / 1992- 1988A(x) = 7/4A(x) = 1.75The average rate of change for P between 1992 and 2000 is -1.025.
What is Average rate of change?The average rate at which one quantity changes in relation to another is known as the average rate of change function.
It can be determined by dividing the amount of one quantity's change by the amount of another quantity's change.
Average rate of change for a function 'f' in the interval [a, b] is,
A = f(b) - f(a) / (b-a)
So, the Average rate of change
= P(2000) - P(1992) / (2000 - 1992)
= (34.5 - 42.7) /(2000 - 1992)
= -8.2 / 8
= -1.025
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If the x value 13, what is the radian measure to the nearest thousandth degree. .
Answer:
Step-by-step explanation:
To convert degrees to radians: [tex]n(\frac{\pi }{180})[/tex] where n is degrees.
For n = 13
[tex]13(\frac{\pi}{180} ) = 0.229 radians[/tex] when rounded to the nearest thousandth
Please help me do this question genius minds
[tex]\text{Given that,}\\\\\theta =\tan^{-1} \left(\dfrac y x \right)\\\\\\\dfrac{\partial \theta}{\partial x} = \dfrac{\partial }{\partial x} \tan^{-1} \left(\dfrac yx \right)\\ \\\\~~~~~~=\dfrac{1}{1 +\tfrac{y^2}{x^2}} \cdot y \dfrac{\partial }{\partial x} \left(\dfrac 1x \right)\\\\\\~~~~~~=\dfrac{yx^2}{x^2 +y^2} \cdot (-1)x^{-2}\\ \\\\~~~~~~=-\dfrac{yx^2}{x^2(x^2 +y^2)}\\\\\\~~~~~~=- \dfrac{y}{x^2 +y^2}\\\\\\[/tex]
[tex]\dfrac{\partial^2\theta}{ \partial x^2} = -\dfrac{\partial }{ \partial x} \left( \dfrac{y}{x^2+y^2} \right)\\\\\\~~~~~~=-y\dfrac{\partial}{\partial x} \left(\dfrac 1{x^2 +y^2} \right)\\\\\\~~~~~~=y (-1)(-1) (x^2 +y^2)^{-2} \dfrac{\partial }{\partial x}(x^2 +y^2)\\\\\\~~~~~~=\dfrac{y}{(x^2 +y^2)^2} \cdot (2x+0)\\\\\\~~~~~~=\dfrac{2xy}{(x^2 +y^2)^2}[/tex]
[tex]\text{Similarly,}~~\\ \\\dfrac{\partial \theta}{\partial y }= \dfrac{x}{x^2 +y^2}\\\\\\\dfrac{\partial^2 \theta}{\partial y^2 } = -\dfrac{2xy}{(x^2 +y^2)^2}\\\\\\\text{Now,}\\\\\dfrac{\partial^2 \theta}{\partial x^2 }+\dfrac{\partial^2 \theta}{\partial y^2 }\\\\\\=\dfrac{2xy}{(x^2 +y^2)^2} -\dfrac{2xy}{(x^2 +y^2)^2}\\\\\\=0[/tex]
Calculate no.between 2 and 2.5
Answer:
√5 is the answer
i need help with this question please
Answer:
C. $16.95
Step-by-step explanation:
Median is putting the numbers in numerical order and finding the middle by listing a number on each side off.
As there would need to be bigger numbers in order for the $17.99 to be in the middle, the smallest number would mess the order up.
use the appropriate conversions listed to convert 8 gallons into pints
2 cups=1 pint
2 pints=1 quart
4 quarts=1 gallon
I need help with my homework
Answer:
x plus y
Step-by-step explanation:
because if lawns is y and earnings are $35 per lawn, then y (lawn) plus $40 per car(x) is y plus x... Hope it helped??
Determining the frequency factor, b
the period is…
Using it's concept, it is found that the period of the function graphed is of 2.244 seconds.
What is the period of a function?The period of a function is given by the distance between it's repetitions.
In this graph, one example is that the value of 6 repeats at t = 1.87 and at t = 4.114, hence the period in seconds is given by:
P = 4.114 - 1.87 = 2.224.
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A certain test is worth 125 points. How many points (round to a whole
number) are needed to obtain a score of 85%? Enter only the number
without units.
Answer:
106
Step-by-step explanation:
triunghiul echilateral DEF este inscris in cercul C(O, 4radical6). Calculati aria triunghiului DEF.
Answer:
[tex]\green{ \rule{500pt}{999999pt}}[/tex]
At best buy , they were having a great deal , for every $200 you spend , you get an anything 50% off coupon . If sarah spent $600 dollars on electronics , how many coupons would she get ?
Answer: 3 coupons
Step-by-step explanation:
We will divide the total amount of money spent by the amount of money needed to spend to receive a coupon.
$600 / $200 = 3
Sarah would get 3 coupons.
what is the value of 7x-3y-1 for x = -2 and y = 4?
[tex]\rule{300}{1}\\\dashrightarrow\large\blue\textsf{\textbf{\underline{Given question:-}}}[/tex]
what is the value of 7x-3y-1 for x = -2 and y = 4?
[tex]\dashrightarrow\large\blue\textsf{\textbf{\underline{Answer and how to solve:-}}}[/tex]
Replace x with -2 and y with 4:-
[tex]\sf{7(-2)-3(4)-1}[/tex]
On simplification,
[tex]\sf{-14-12-1}[/tex]
On further simplification,
[tex]\sf{-27}[/tex]
Good luck with your studies.[tex]\rule{300}{1}[/tex]
Find P(Not a 3).
A. 0.30
B. 0.15
c. 0.85
D. 0.70
Answer:
P(Not a 3)=0.85. This is option C.
Step-by-step explanation:
P(Not a 3) would include values 1,2 and 4.
Therefore, P(Not a 3) would be the combined totals of the probabilities of P(1), P(2) and P(4).
P(Not a 3)= P(1)+P(2)+P(4)
P(Not a 3)= 0.30+0.40+0.15
P(Not a 3)=0.85
Alternate method
P(Not a 3) is the same as 1-P(3)
P(Not a 3)=1-P(3)
P(Not a 3)= 1-0.15
P(Not a 3)=0.85
Plot the points: A(4, 5), B(3, 3), C(6.9), D(8, 13), and E(10, 15).
All but one of the points are on the same line. Which one is not?
Answer:
E (10, 15)
Step-by-step explanation:
Plotting the points on a graph : (Check attachment)
On plotting the points, and joining a line that connects all points except one, it becomes evident that the point not on the line is :
E (10, 15)Answer:
E
Step-by-step explanation:
find the prime factorization of 405
Answer:
The factorisation of 405
405 = 5x3x3x3x3
Answer:
405 = 3 x 3 x 3 x 3 x 5 = 3⁴ x 5
Step-by-step explanation:
I'll factor 405 with the Factor Tree Method.
Step 1: Place the number 405 on top of the factor tree.
Step 2: Notice that 405 can be divided by 5 -> 405 = 5 x 81. The two branches from 405 become 5 and 81.
Step 3: Continue factorizing other numbers in the tree until you are left only with the prime factors, which you cannot further factorize.
Step 4: Write the number as the product of prime factors you got.
405 = 3 x 3 x 3 x 3 x 5 = 3⁴ x 5
i need this answer as fast and soon as possible
Each of the digits 2, 3, 4, 5 and 7 must be placed in the circles so that the sum of each straight line is 15.
(Fill in the empty circle spaces)
Answer:
1st horizontal lines is 2,5,8=15
2nd horizontal line 4,5,6
vertical line 5,5,5
Answer:
See below ~
Step-by-step explanation:
The scale of a model house to the actual house is 1:150. If the actual house size is 40 feet high, how many feet tall is the model? (round your answer to the nearest tenth
Answer: 0.3 feet
Work Shown:
(1 ft)/(150 ft) = (x ft)/(40 ft)
1/150 = x/40
1*40 = 150*x
40 = 150x
x = 40/150
x = 4/15
x = 0.2667 approximately
x = 0.3
Note: 0.3 ft = 0.3*12 = 3.6 inches
A 400 meters running track has two straight sections, each of length 120 meters and two semicircular ends. calculate the total length of the of the curved sections of the track.
Answer:
160 m
Step-by-step explanation:
Length of running track = Total Length of straight sections + Total length of curved sections
Solving :
⇒ 400 m = 2 x 120 m + Total Length of curved sections
⇒ Total Length of curved sections = 400 m - 240 m
⇒ Total Length of curved sections = 160 m
PLEASE HELP!!!!!!!!!!!!!!
Answer:
Everything is in the picture
Please help asap brainliest included
3. What is the probability that a randomly selected student from your group is a 9th grader? (1 point)
4. What is the probability that a randomly selected student from your group prefers comedy? (1 point)
5. What is the probability that a randomly selected student does not prefer action? (1 point)
Answer:
1/43/83/4Step-by-step explanation:
Question 3
P (9th grader) = Number of 9th graders / Total studentsP (9th grader) = 4/16P (9th grader) = 1/4Question 4
P (comedy) = No. of comedy preferences / Total studentsP (comedy) = 6/16P (comedy) = 3/8Question 5
P (Not action) = No. of non-action preferences / Total studentsP (Not action) = 16 - 4 / 16P (Not action) = 12/16P (Not action) = 3/4Write an equation to describe the situation.
A student allows 1/10 of her monthly income for books and 1/8 of her monthly income for clothing. If she budgets a total of $300 per month for books and clothing, what is her monthly income, x?
Answer: 1333.(3)
Step-by-step explanation:
Let her monthly income be x. Then,
(1/10)x + (1/8)x = 300
(4/40)x + (5/40)x = 300
(9/40)x = 300
x = 300 / (9/40)
x = 300*40/9
x = 12000/9
x = 1333 1/3 = 1333.(3)
pls answer quickly. thanks <3
Answer:
4522mm³
Step-by-step explanation:
7×50×9 + 28×7×7 = 4522
Answer:
4522 mm^3.4522 mm^3.
Step-by-step explanation:
Splitting this up into 2 prisms, one vertical and the other horizontal:
Volume of each prism = length * width * height:
Volume of the figure =
Horizontal + vertical prism
= 7 * 9 * 50 + 7* 7* 28
= 3150 + 1372
= 4522 mm^3