The function gets shifted towards the left then the value of h must be negative. The correct option is B.
What is a function?The function is an expression, rule, or law that defines the relationship between one variable to another variable. Functions are ubiquitous in mathematics and are essential for formulating physical relationships.
Given
The function is f(x) = |x – h| + k
We know that if we subtract h from the variable the function gets shifted towards the right but in the graph, the function gets shifted towards the left then the value of h must be negative.
We know the coordinate of the vertex is (-1.5, -3.5). Then abscissa will satisfy the |x - h|.
h = -1.5
Thus, option B is correct.
More about the function link is given below.
https://brainly.com/question/5245372
Water flows through a drain at a rate 2kl/min
How much water flows through the drain in one hour
Answer:
Step-by-step explanation:
2 kl/min * 60 minutes = 120 kl
Answer:
120 kl/min
Step-by-step explanation:
There are 60 mins in an hour,if you times that by 2 (because its 2 kl/min)that makes up 120.So therefore,the answer is 120 kl/min
The sum of all the positive terms in the geometric sequence 54, - 36, 24, - 16, ... is
A. 32.4
B. 97.2
C. 121.5
D. 162. 1
Answer:
B. 97.2
Step-by-step explanation:
The sequence of positive terms is ...
54, 24, 10 2/3, 4 20/27, ...
This sequence has first term 54 and common ratio 24/54 = 4/9. The sum of the infinite series is ...
S = a1/(1 -r) = 54/(1 -4/9) = 54(9/5)
S = 97.2
The sum of the positive terms in the infinite series is 97.2.
need help with 8 and 9.
Answer:
8. parallel
9. not parallel
Step-by-step explanation:
Segment ST will be parallel to base segment PR if the sides of the triangle are divided proportionally.
8.We can compare the whole to the short part:
102/45 ?? (41.8 +33)/33
2.266... = 74.8/33 = 2.266...
The sides are proportional, so the segments are parallel.
__
9.We can compare the longer portion to the shorter portion.
38/19 ?? 52/24
2 ≠ 2 1/6
The sides are not proportional, so the segments are not parallel.
_____
Additional comment
Here, we compared segment lengths on the same side of the triangle. You can also compare segment lengths on opposite sides of the triangle. For example, in 9, you could look at any of the relations ...
19/24 vs 38/52
19/(19+38) vs 24/(24+52)
or the inverse of these:
24/19 vs 52/39, for example
PLEASE HELP ASAP
i understand the simplifying part, please thoroughly explain how to do excluded values correctly! tysm
[tex]\\ \rm\Rrightarrow \dfrac{XY}{a^2+a^3}\times \dfrac{a+a^2}{x^2y^2}[/tex]
[tex]\\ \rm\Rrightarrow \dfrac{xy(a+a^2)}{a^2+a^3(x^2y^2)}[/tex]
[tex]\\ \rm\Rrightarrow \dfrac{axy+a^2xy}{a^2x^2y^2+a^3x^2y^2}[/tex]
[tex]\\ \rm\Rrightarrow \dfrac{xy(a+a^2)}{x^2y^2(a^2+a^3)}[/tex]
[tex]\\ \rm\Rrightarrow \dfrac{a+a^2}{xy(a^3+a^2)}[/tex]
[tex]\\ \rm\Rrightarrow \dfrac{a(a+1)}{xya^2(a+1)}[/tex]
[tex]\\ \rm\Rrightarrow \dfrac{a}{a^2xy}[/tex]
[tex]\\ \rm\Rrightarrow \dfrac{1}{axy}[/tex]
[tex]\qquad\qquad\huge\underline{{\sf Answer}}♨[/tex]
Let's solve ~
[tex]\qquad \sf \dashrightarrow \: \dfrac{xy}{ {a}^{2} + {a}^{3} } \times \dfrac{a + {a}^{2} }{ {x}^{2} {y}^{2} } [/tex]
[tex]\qquad \sf \dashrightarrow \: \dfrac{xy}{ a({a}^{} + {a}^{2} )} \times \dfrac{a + {a}^{2} }{xy( {x}^{} {y}^{} )} [/tex]
[tex]\qquad \sf \dashrightarrow \: \dfrac{ \cancel{xy}}{ a \cancel{({a}^{} + {a}^{2} )}} \times \dfrac{ \cancel {a + {a}^{2}} }{xy \cancel{( {x}^{} {y}^{} )}} [/tex]
[tex]\qquad \sf \dashrightarrow \: \dfrac{1}{a} \times \dfrac{1}{xy} [/tex]
[tex]\qquad \sf \dashrightarrow \: \dfrac{1}{ axy} [/tex]
Algebra 2
Please help!
Answer:
3x
Step-by-step explanation:
Since k(x)=27x^3, we replace it in h( k(x) ), we will get:
h(27x^3)
Given that h(x)={3}√x [my keyboard doesn't support cubic root]
= {3}√(27x^3)
27 is 3^3,
Simplifying, the final answer is:
3x.
Answer:
3x
Step-by-step explanation:
[tex]h(x) = \sqrt[3]{x},\: \: k(x) = 27 {x}^{3} \\ \\ (a) \: h(k(x)) = \sqrt[3]{27 {x}^{3} } \\ \\ = \sqrt[3]{ {(3x)}^{3} } \\ \\ = {(3x)}^{3 \times \frac{1}{3} } \\ \\ = 3x[/tex]
This is due tomorrow and I don't know, what is 5/7 of 28? or how to solve itttt
Answer:
answer is 20
Step-by-step explanation:
5/7 of 28
5/7×28= 20
hope it helps
determine the range of the inverse of F(x)= square root
x-4
Answer:
y ≥ 4
Step-by-step explanation:
The range of the inverse of a function is the same as the domain of the function. F(x) is defined for x ≥ 4, so the range of F^-1(x) is y ≥ 4.
Mrs. Koch is Improving in her Golf Game. She makes about 60% of her putts.
If she has 10 putts, what is the
Probability she makes all of them?
Answer:
most likely / 16 2/3
Step-by-step explanation:
60% = 10
60/10 = 100/x
x= 50/3
50/3 = 16 2/3
An old light bulb uses 60 watts of power, but a new LED bulb uses only 9 watts. What is the percent change?
Answer: 85%
Step-by-step explanation:
Percent of change formula is (old - new / old) * 100
So then you input the numbers
60 - 9
——— *100
60
51
— *100
60
= 0.85(100)
85%
Hope this helps!
determine whether each pair of polygons is similar.
Answer:
Yes they are similar
Step-by-step explanation:
I hope this helps you have a very nice day
Owen bought 15 bananas for $9. What was the cost of the bananas in bananas per dollar?
Answer: 5 banana 3 dollar
Step-by-step explanation:
per dollar"→divide by dollars
15\text{ bananas}:
15 bananas:
\,\,9\text{ dollars}
9 dollars
\frac{15\text{ bananas}}{9}:
9
15 bananas
:
\,\,\frac{9\text{ dollars}}{9}
9
9 dollars
\frac{5}{3}\text{ bananas}:
3
5
bananas:
\,\,1\text{ dollar}
1 dollar
\frac{5}{3}\text{ bananas for every 1 dollar}
3
5
bananas for every 1 dollar
\mathbf{\frac{5}{3}\text{ bananas per dollar}}
5 bananas per 3 dollar
Unit rate is the quantity of an amount of something at a rate of one of another quantity.
If 15 bananas cost $9.
The cost of one banana is $0.6
The amount of banana per dollar is 5/3 banana
What is a unit rate?It is the quantity of an amount of something at a rate of one of another quantity.
In 2 hours, a man can walk for 6 miles.
In 1 hour, a man will walk for 3 miles.
If a machine can make 100 bottles in 20 minutes.
In 1 minute the machine can make 100/20 = 5 bottles.
We have,
Cost of 15 banana = $9
This can be written as:
15 banana = $9
Divide 9 on both sides.
15/9 banana = $1
5/3 banana = $1
The cost of one banana:
15 banana = $9
1 banana = 9/15
1 banana = 3/5
1 banana = $0.6
Thus,
If 15 bananas cost $9.
The cost of one banana is $0.6
The amount of banana per dollar is 5/3 banana
Learn more about unit rates here:
https://brainly.com/question/11258929
#SPJ2
Plz answer question I’m the picture
Answer:
x = 13.5
BC = 30
Step-by-step explanation:
BC is double the length of DE. And we know that DE is equal to 15. So 15 x 2 is 30.
Now to find x. We know that our answer has to add up to 30. So we first subtract 3 from 30 to get 27. Then divide 27 by 2 to get what x is equal to. x = 13.5
If Mr. John plans to replace the carpet in his living room AND bedroom with carpet that cost $2.00 per square foot, how much will it cost to replace it if there are no other charges?
Answer:
1496
Step-by-step explanation:
check the other answer for explanation
A prize of $100, $200, $500, or $1000 will be randomly awarded to a game
show contestant, with the probabilities of winning each prize shown in the
table below. What is the expected value of the prize that will be awarded?
Prize
$100 $200 $500 $1000
Probability
1
1
5
1
5
A. $380
B. $460
C. $400
D. S560
Answer:
nvm its acctually B. 460
Step-by-step explanation:
just did it
The expected value of the prize that will be awarded is $460.
What is expected value?The expected value (EV) is an anticipated average value for an investment at some point in the future. Investors use expected value to estimate.
here, we have,
to determine the expected value:
The expected value is calculated using:
E(x) = Σx * P(x)
So, we have:
E(x) = 100 *0.2 + 200 * 0.2 + 500 * 0.4 + 1000 * 0.2
Evaluate
E(x) = 460
Hence, the expected value of the prize that will be awarded is $460
Read more about expected values at:
brainly.com/question/15858152
#SPJ7
X+4,x+12,x-1 and x+5 are in proportion.find the value of x
Answer:
Step-by-step explanation:
As they are in proportion,
x +4 : x +12 :: x -1 : x + 5
Product of means = Product of extremes
(x + 12)(x -1) = (x +4)(x+5)
Use FOIL method for polynomial multiplication
x*x + x*(-1) + 12*x + 12*(-1) = x*x + x*5 + 4*x + 4*5
x² - x + 12x - 12 = x² + 5x + 4x + 20
Combine like terms
x² + 11x - 12 = x² + 9x + 20
x² + 11x - 12 - x² - 9x - 20 = 0
Combine like terms
x² - x² + 11x -9x -12 -20 = 0
2x - 32 = 0
2x = 32
x = 32/2
x = 16
what is the answer to this question A function, f(x) = 4x + 5, has a domain 0 ≤ x ≤ 50. What is its range?
Answer:
5 ≤ y ≤ 205
Step-by-step explanation:
Input values 0 and 50 for x in the function f(x) - 4x + 5
Solve:
f(0) = 4(0) + 5f(0) = 0 + 5f(0) = 5f(50) = 4(50) + 5f(50) = 200 + 5f(50) = 205The range is between these two points: 5 ≤ y ≤ 205
-Chetan K
Y=2x
Y= 3x -10
What is the solution to the system of equations?
Enter as an ordered pair
( , )
Answer:
( 10,20 )
Step-by-step explanation:
Y=2x
Y= 3x -10
What is the solution to the system of equations?
2x=3x-10 *combine like terms*
-1x= -10 x=10 *divide*
Y=2(10) y=20 *plug in for y into other equation*
CHECK:
plug both x and y into both equations to get a true statement.
Y=2x 20=2(10) 20=20
Y= 3x -10 20= 3(10) -10 20=20
Simplify:
9x2 - 4x – 3 = [?]
-
=
x=-2
Step-by-step explanation:
if x = -2
= 9x² - 4x - 3
= 9 ( -2)² - 4 ( -2 ) - 3 [ x = -2 ]
= 9 × 4 + 8 - 3
= 36 + 8 - 3
= 44 - 3
= 41
[tex]\huge{\boxed{{ x = -2}}}[/tex]
[tex] 9x² - 4x - 3[/tex]
[tex]↠ 9 (-2)² -4 (-2) - 3[/tex]
[tex]↠ 9×4+8-3[/tex]
[tex]↠ 36 + 8 -3[/tex]
[tex]↠ 44-3[/tex]
[tex]↠ 41[/tex]
[tex]\large{{\bold{ \underline{ \underline{ \overline{ \overline{ \pink{9{x}^{2} - 4x – 3 = 41}}}}}}}}[/tex]
Which of the following sets of ordered pairs represents a function? A. { (-10, -4), (17, 11), (4, 10), (4, -14) } B. { (7, 8), (-21, -8), (7, -8), (-21, 8) } C. { (14, 8), (-14, -8), (8, 14), (-8, -14) } D. { (14, 8), (14, -8), (8, 14), (8, -14) }
Answer:
C
Step-by-step explanation:
because for any domain ,you will get only one range value ,
but ,there are two range values for 4 in A;
two range values for 7, and also for 21 in B;
two range values for 14 and for 8 in D
fine the output when the input is n.
Step-by-step explanation:
the output is -17 while the input is 5
5/6−1/6 Subtract the fractions.
Answer:
4/6 but its 2/3 simplified.
Step-by-step explanation:
You may subtract the numerator but not the denominator.
Polygon angle sum theorem, solve for many points.
Answer:540-452=88
x=88
sum of all is always 540 for pentagons
Step-by-step explanation:
an umbrella has 12 evenly spaced ribs. If viewed as a flat circle of radius 11 units,
then what would be the area between two consecutive ribs of the umbrella
Answer:
Area = 121pi/12
~= 31.66 sq units
Step-by-step explanation:
They are talking about looking at an umbrella like its a circle. The radius is 11 units. That is from the center to the edge.
Consecutive means "in a row" or "next to each other" The 12 "ribs" are the like skeleton structure in the umbrella. But they cut the umbrella into 12 areas. They are asking for the area of one "slice". It is 1/12 of the area of the whole circle.
Area of a circle is
A = pi × r^2
Area of one slice is 1/12 of the whole.
A(1 slice)
= 1/12× pi × r^2
See image.
Pittsburgh charges a 6% sales tax. Paula goes shopping and her
purchases total $139. How much will she pay in taxes?
[tex]\begin{array}{|c|ll} \cline{1-1} \textit{a\% of b}\\ \cline{1-1} \\ \left( \cfrac{a}{100} \right)\cdot b \\\\ \cline{1-1} \end{array}~\hspace{5em}\stackrel{\textit{6\% of 139}}{\left( \cfrac{6}{100} \right)139}\implies 8.34[/tex]
Hwlsibdsja aka sus ejsnahabah HELP
Answer:
y = cos(x) -1
Step-by-step explanation:
The function has a maximum at x=0, a peak-to-peak amplitude of 2, and a period of 2π. It matches a cosine function that has been shifted down 1 unit.
y = cos(x) -1
How do you divide a whole number by a fraction, for example
7 divided by 3/4
[tex]7 \div \frac{3}{4} = \\ [/tex]
[tex]7 \times \frac{4}{3} = \\ [/tex]
[tex] \frac{7 \times 4}{3} = \\ [/tex]
[tex] \frac{28}{3} \\ [/tex]
Which of the following simulations would not work for the situation described?
A. To simulate randomly selecting a day of the week, assign a one-digit number from 0 to 6 to each letter. Use a random digit table to generate one-digit numbers, ignoring any over 6.
B. To simulate randomly selecting a state in the U.S., assign a two-digit number from 01 to 50 to each state. Use a random digit table to generate two digit numbers, ignoring any over 50.
C. To simulate randomly selecting a day of the year, assign a three-digit number from 001 to 365 to each day of the year. Use a random digit table to generate two digit numbers, ignoring any over 365.
D. To simulate randomly selecting a letter of the alphabet, assign a one-digit number from 0 to 9 to each letter. Use a random digit table to generate one-digit numbers, ignoring any over 9.
Using the probability concept, it is found that the simulation that would not work for the situation described is:
D. To simulate randomly selecting a letter of the alphabet, assign a one-digit number from 0 to 9 to each letter. Use a random digit table to generate one-digit numbers, ignoring any over 9.
What is a probability?A probability is given by the number of desired outcomes divided by the number of total outcomes.
In this problem:
For a week, there are 7 days, and in the trial there are 7 outcomes, hence item a works.The same logic apply for items b and c, as there are 50 U.S states and a year has 365 days, and in each case, respectively, there are 50 and 365 outcomes.As for item d, there are 26 letters in the alphabet, and only 9 digits, hence digits would be repeated and it would not be an accurate simulation.More can be learned about the probability concept at https://brainly.com/question/15536019
Add: 17 + 314 + 12 Write your answer in simplest terms.
50 pht helppppppppppppppppppppppppppppppppppppppp pls urgent
Answer:
$135
Step-by-step explanation:
15-12=3/2=1.5
12+1.5=13.5
13.5*10=135
Answer:
$1620
Step-by-step explanation:
The area of the lawn is a trapezoid.
Area of a trapezoid = [tex]\dfrac12(a+b)h[/tex]
where a and b are the parallel sides (bases) and h is the height
Therefore,
[tex]area=\dfrac12(15+12) \times 10 = 135 \ m^2[/tex]
If the price of sod is $12 per square metre, then
total cost = 135 x 12 = $1620
1) Each student has 2 shoes. How many shoes are there for 8 students?
Answer:
16 shoes
Step-by-step explanation: If every student has 2 shoes and you want to know how many shoes for 8 students. Then you do 8 times 2 which is 16 shoes for 8 students. Hope this helps