Answer:
Domain: [ − 3 ,∞ )
Range: ( − ∞ , 0 ]
Step-by-step explanation:
h ( x ) = − √ x + 3
the domain:
x +3 ≥ 0 x ≥ − 3
in interval form:
[ − 3 , ∞ )
the range:
lowest possible value under the square root sign is zero, thus:
y ≤ 0
in the interval form:
( − ∞ , 0 ]
Plz help
Will mark brainliest
Answer:
4567
Step-by-step explanation:
add 2
add 88
sub 99
If lines Joined each given point on the graph to the origin, which points would be on lines that represent a unit rate greater than the one represented in the table? х,у 5,11 10,22 15,33
Answer
I think first 3
Step-by-step explanation:
A slope is also known as the gradient of a line. The points that would be on lines that represent a unit rate greater than the one represented in the table are the first three points.
What is Slope?A slope also known as the gradient of a line is a number that helps to know both the direction and the steepness of the line.
slope = (y₂-y₁)/(x₂-x₁)
The slope of the function that the table represents is 2.2.
Also, the slope of the different points and the origin will be shown on the points that would be on lines that represent a unit rate greater than the one represented in the table are the first three points.
Hence, the points that would be on lines that represent a unit rate greater than the one represented in the table are the first three points.
Learn more about Slope of Line:
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what is the domain of the function
Answer:
the domain or set of departure of a function is the set into which all of the input of the function is constrained to fall.
Step-by-step explanation:
didn't know if you needed the definition or not :)
6x + 2y = 12
How do I show my work ?
Hey there!
ANSWER: [tex]\frac{-1}{3}y+2[/tex]EXPLANATION:[tex]6x+2y=12[/tex]
Let's start by adding -2y to both sides.
[tex]6x+2y+-2y=12+-2y\\\text {This equals: 6x=-2y+12}[/tex]
Our second and final step is to divide both sides by 6.
[tex]\frac{6x}{6}=\frac{-2y+12}{6} \\x=\frac{-1}{3}y+2(ANSWER)[/tex]
If you are looking to solve y, the answer is 6 - 3x.
If you are looking for x, the answer is x = 2 - y/3
Hope this helps and have a great weekend!
[tex]\text{-TestedHyperr}[/tex]
Which statement describes the inverse of m(x) = x2 – 17x?
Answer:
The correct option is;
[tex]The \ domain \ restriction \ x \geq \dfrac{17}{2} \ results \ in \ m^{-1}(x) = \dfrac{17}{2} \pm \sqrt{x + \dfrac{289}{4} }}[/tex]
Step-by-step explanation:
The given information is that m(x) = x² - 17·x
The above equation can be written in the form;
y = x² - 17·x
Therefore;
0 = x² - 17·x - y
From the general solution of a quadratic equation, 0 = a·x² + b·x + c we have;
[tex]x = \dfrac{-b\pm \sqrt{b^{2}-4\cdot a\cdot c}}{2\cdot a}[/tex]
By comparison to the equation,0 = x² - 17·x - y, we have;
a = 1, b = -17, and c = -y
Substituting the values of a, b and c into the formula for the general solution of a quadratic equation, we have;
[tex]x = \dfrac{-(-17)\pm \sqrt{(-17)^{2}-4\times (1) \times (-y)}}{2\times (1)} = \dfrac{17\pm \sqrt{289+4\cdot y}}{2}[/tex]
Which can be simplified as follows;
[tex]x = \dfrac{17\pm \sqrt{289+4\cdot y}}{2}= \dfrac{17}{2} \pm \dfrac{1}{2} \times \sqrt{289+4\cdot y}} = \dfrac{17}{2} \pm \sqrt{\dfrac{289}{4} +\dfrac{4\cdot y}{4} }}[/tex]
And further simplified as follows;
[tex]x = \dfrac{17}{2} \pm \sqrt{\dfrac{289}{4} +y }} = \dfrac{17}{2} \pm \sqrt{y + \dfrac{289}{4} }}[/tex]
Interchanging x and y in the function of the inverse, m⁻¹(x), we have;
[tex]m^{-1}(x) = \dfrac{17}{2} \pm \sqrt{x + \dfrac{289}{4} }}[/tex]
We note that the maximum or minimum point of the function, m(x) = x² - 17·x found by differentiating the function and equating the result to zero, gives;
m'(x) = 2·x - 17 = 0
x = 17/2
Similarly, the second derivative is taken to determine if the given point is a maximum or minimum point as follows;
m''(x) = 2 > 0, therefore, the point is a minimum point on the graph
Therefore, as x increases past the minimum point of 17/2, m⁻¹(x) increases to give;
[tex]The \ domain \ restriction \ x \geq \dfrac{17}{2} \ results \ in \ m^{-1}(x) = \dfrac{17}{2} \pm \sqrt{x + \dfrac{289}{4} }}[/tex] to increase m⁻¹(x) above the minimum.
Answer:
b
Step-by-step explanation:
edge 2021
Find the length of side CB in the following right triangle
Round your answer to the nearest tenth.
Answer:
6cm
Step-by-step explanation:
a2 + b2 = c
(1.4)2 + (2)2 = c
1.96 + 4 = 5.96
=5.96cm (round it)
final answer = 6cm
Answer:
CB = 1.4 cm
Step-by-step explanation:
Given is a right angled triangle.
[tex] {x}^{2} + {1.4}^{2} = {2}^{2} \\ {x}^{2} + 1.96= 4 \\ {x}^{2} = 4 - 1.96 \\ {x}^{2} = 2.04 \\ x = \sqrt{2.04} \\ x = 1.42828569 \\ x \approx 1.4[/tex]
CB = 1.4 cm
Please help. The tiger lost 9 games won 7 games and tied 2 games what percent of the games did they win.
Answer:
about 39%
Step-by-step explanation:
In order to find the percent, you need to find the total amount of games they played first.
9 games + 7 games + 2 games = 18 games total
Divide the number of games they won by the total amount of games they played:
7 games / 18 games = about 39%
Point O is on line segment NP‾\overline{NP}NP. Given OP=10,OP=10,OP=10, NP=2x,NP=2x,NP=2x, and NO=x+7,NO=x+7,NO=x+7, determine the numerical length of NO‾.\overline{NO}.NO.
Given:
Point O is on line segment NP.
OP=10, NP=2x, and NO=x+7.
To find:
The numerical length of NO.
Solution:
If point O is on line segment NP, then by segment addition property, we get
[tex]NP=NO+OP[/tex]
[tex]2x=(x+7)+10[/tex]
[tex]2x=x+17[/tex]
Subtract both sides by x.
[tex]2x-x=17[/tex]
[tex]x=17[/tex]
The value of x is 17.
Now,
[tex]NO=x+7[/tex]
[tex]NO=17+7[/tex]
[tex]NO=24[/tex]
Therefore, the numerical length of NO is 24units.
A local church has a rectangular fellowship room that it will expand by increasing the
length by 20 feet to form a larger rectangle. If the current dimensions of the room
are unknown, write an algebraic expression for the perimeter of the new room.
Answer:
perimeter of new room = 2[(l+20)*b]
Step-by-step explanation:
A chef turned on a faucet and filled a 2-gallon pot in 5 6 of a minute. What is the rate of water flow? Simplify your answer and write it as a proper fraction, mixed number, or whole number.
Answer: Rate of water flow is 12/5 gallon per minute
Step-by-step explanation:
Given the following :
Volume of faucet pot = 2 gallon
Time taken to fill the faucet pot = 5/6 of a minute = (5/6) minute.
Rate of water flow:
Volume of faucet pot / time taken
= 2 gallon ÷ (5/6) minute
= 2 gallon × (6/5) minutes
= (12 /5) gallon / minute
= 2 2/5 gallon / minute
Hence rate of water flow is 12/5 gallon per minute.
Answer:
2 2/5
Step-by-step explanation:
2 2/5
Kendra earns $11.60 per hour working at the movie theater. Each week, she donates of
10
her earnings to Best Friends Animal Society, her favorite charity. If Kendra worked 8 hours
2
last week, how much money did she donate to the charity?
Answer:
$9.86
Step-by-step explanation:
First, write both numbers in the same form. Convert 8
1
2
to a decimal.
8
1
2
= 8+
1
2
= 8+
1×5
2×5
= 8+
5
10
= 8+0.5
= 8.5
Multiply.
11.6
× 8.5
580
+ 9280
98.60
Kendra earned $98.60 last week.
Now multiply to find how much money Kendra donated to the charity last week. She earned $98.60, and she donates
1
10
of her earnings each week.
First, write both numbers in the same form. Convert
1
10
to a decimal.
1
10
=0.1
Multiply.
98.6
× 0.1
9.86
Kendra donated $9.86 to the charity last week.
The table above gives selected values of twice-differentiable functions f and g, as well as the first two derivatives of g. If f′ (x)=3 for all values of x, what is the value of [tex]\begin{equation}\int_{2}^{4} f(x) g^{\prime \prime}(x) d x\end{equation}[/tex]
Answer:
63
Step-by-step explanation:
∫₂⁴ f(x) g"(x) dx
Integrate by parts.
If u = f(x), then du = f'(x) dx.
If dv = g"(x) dx, then v = g'(x).
∫ u dv = uv − ∫ v du
= f(x) g'(x) − ∫ g'(x) f'(x) dx
f'(x) is constant at 3, so:
= f(x) g'(x) − ∫ 3 g'(x) dx
= f(x) g'(x) − 3 g(x)
Evaluate from x=2 to x=4.
[f(4) g'(4) − 3 g(4)] − [f(2) g'(2) − 3 g(2)]
[(13) (7) − 3 (9)] − [(7) (1) − 3 (2)]
64 − 1
63
The required value of [tex]\int\limits^4_2 {f(x)g"(x)} \, dx (1)[/tex] is 63.
Given that,
The table above gives selected values of twice-differentiable functions f and g,
The first two derivatives of g. If f′ (x) = 3 for all values of x.
We have to determine,
What is the value of [tex]\int\limits^4_2 {f(x)g"(x)} \, dx (1)[/tex].
According to the question,
To obtain the value of given function, integrating the function,
[tex]= \int\limits^4_2 {f(x)g"(x)} \, dx (1)[/tex]
Integrating by using by-parts.
[tex]= \int\limits^4_2 {f(x)g"(x)} \, dx (1)\\\\if\ u = f(x), \ then \ du = f'(x)dx\\\\if \ dv = g"(x)dx, \ then \ v = g'(x)\\\\[/tex]
Then,
[tex]\int u\ dv = uv\ - \ \int v \ du\\\\= f(x) \ g'(x) - \int g'(x) f'(x) \ dx\\[/tex]
if f'(x) is constant at 3,
Then,
[tex]= f(x) g'(x) - \int g'(x)\dx\\\\= f(x) g'(x) -3g(x)[/tex]
Substitute from x = 2 to x = 4 then evaluate,
[tex]= [f(4)\ g'(4) - 3 \ g (4)]- [f(2)\ g'(2) - 3 \ g (2)]\\\\= [(13).(7) - 3.(9)] - [7.(1)- 3.(2)]\\\\= [91-27} - {7-6}\\\\= 64-1\\\\= 63[/tex]
Hence, The required value of [tex]\int\limits^4_2 {f(x)g"(x)} \, dx (1)[/tex] is 63.
To know more about Integration click the link given below.
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The formula d = rt gives the distance, d, traveled in time, t, at rate, r. A motorcycle traveled 67.2 mi in 1.2 h. What was its average speed (rate)? 30 mph 56 mph 66 mph 80 mph
Answer:
56mph
Step-by-step explanation:
If d=rt,
then s=d/t,
so if d=67.2 and t=1.2,
then 67.2/1.2=56
4. A mistake was made when solving the problem below.
Line 1: 2022+6
Line 2: 204 + 6
Line 3: 80 + 6
Line 4: 86
The mistake was made in Line
Answer:
Wdym
Step-by-step explanation:
wdym
What is the answer to X(x+7)
Answer:
[tex] \boxed{ \bold{ \boxed {\huge{ \sf{ {x}^{2} + 7x}}}}}[/tex]
Step-by-step explanation:
[tex] \sf{x(x + 7)}[/tex]
Distribute x through the parentheses
[tex] \dashrightarrow{ \sf{x \times x + x \times 7}}[/tex]
[tex] \dashrightarrow{ \boxed{ \sf{ {x}^{2} + 7x}}}[/tex]
Hope I helped!
Best regards! :D
MATH please answer
please answer
Answer:
you can fit 1000 hairs in 10 cm
Step-by-step explanation:
[tex]10^2= .01[/tex]
[tex].01*1000 = 10[/tex]
Solve for x in simplest form. 7=8/5 (3x+5)
Answer:
7=8/5 (3x+5)
or (7*5)= 24x + 40
or 24x = -5
x = -5/24
Step-by-step explanation:
!!!!!!!!Pls hurry I need help to solve this !!!!!!!
(3m^2 – 5m + 2)^2
Answer: 9m^4- 30m^3 +37m^2 - 20m + 4
Step-by-step explanation:
(3m^2 -5m +2)^2 is the same as (3m^2 -5m +2)(3m^2 -5m +2)
Now apply the distributive property 3 times to solve.
3m^2(3m^2 -5m + 2) = 9m^4 - 15m^2 + 6m^2
-5m(3m^2 -5m+2) = -15m^3 +25m^2 -10m
2(3m^2 -5m +2) = 6m^2 - 10m + 4
Now add the solutions
(9m^4 - 15^2 + 6m^2) (-15m^3 + 25m^2 -10m)(6m^2 -10m +4) =
9m^4- 30m^3 +37m^2 - 20m + 4
55,555 times x = 965,777 teacher gave this weird question and i do not under stand help me please. also which pic is prettier be honest
Answer:
[tex]\frac{965777}{55555}[/tex]
Step-by-step explanation:
The answer is quite simple, just divide both sides and rewrite the equation to get it. Maybe focus more on the question rather than yourself next time :)
Pls help I am so confused
What is 78,652 divided by 8 long division
What is 115.376 rounded to the nearest hundredths
Answer:115.38
Step-by-step explanation:
115.378
=115.38
The hundredth digit is seven
what number is 100 times greater than 20?
Answer:
2000
Step-by-step explanation:
just muliply
16.3 ÷ (−7.89)? It says im in highschool but im in middle school 7th grade!
Answer:
The answer is -2.066 rounded up from the thousandths
Step-by-step explanation:
It is a bit difficult to divide by such an exact value, but I hope this helps!
If a line has a slope 2/3 a line that is perpendicular has a slope of what
Answer:
-1.5
Step-by-step explanation:
The product of slopes of two perpendicular lines = -1
If line one has a slope of 2/3;
Let line two, perpendicular to line one, has a slope of a
2/3 × a = -1
a = -1 ÷ 2/3 = -3/2 = -1.5
If someone can help me figure out #6. Thanks
Answer: [tex](1,-\frac{3}{2})[/tex]
Step-by-step explanation:
To find the midpoint, you use the formula [tex]midpoint=(\frac{x_1+x_2}{2} ,\frac{y_1+y_2}{2} )[/tex].
The points are (-2,-1) and (4,-2).
[tex]midpoint=(\frac{-2+4}{2} ,\frac{-1+(-2)}{2} )[/tex] [add]
[tex]midpoint=(\frac{2}{2} ,\frac{-3}{2} )[/tex] [divide]
[tex]midpoint=(1 ,\frac{-3}{2} )[/tex]
Now, we know the midpoint is [tex](1,-\frac{3}{2})[/tex].
Which expressions have a sum of 12?
Answer:
First one.
Step-by-step explanation:
4+(-8) -10+22 =12
24+(-12) 0+ (-12) =-24
Please brainliest! Im on my way to another rank!
The expression 24 + (-12) has a sum of 12 after applying the arithmetic operation options (b) and (c) is correct.
What are arithmetic operations?The study of numbers and their operations, which are relevant to all other fields of mathematics, is part of the discipline of arithmetic operations. Addition, subtraction, multiplication, and division are the basic operations that make up this system.
It is given that:
The expressions are shown in the picture.
After solving using Arithmetic operation:
Take the expression:
= 24 - 12
= 12
-10 + 22
= 12
Thus, options (b) and (c) are correct.
Learn more about the arithmetic operations here:
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is negative 31 an integer
Answer:
yes
Step-by-step explanation:
all numbers are integers
1-2 +4.32 - 6
a.-16
b
-14
2. 5 + 422(3)
C28
3. -5- (32 +2)
d. 29
4 22 3.6
Answer:
-16
Step-by-step explanation:
did the math
Please answer the question and give an explanation. Will give brainliest.
Step-by-step explanation:
By Pythagoras' Theorem, z^2 + (2.7)^2 = (4.2)^2.
This means that z^2 = (4.2)^2 - (2.7)^2 = 10.35.
So z = 3.2 (1 d.p.)
Step-by-step explanation:
x=4.2
y=2.7
z=x
(×+y=×
(4.2+2.7=×)
×=6.9