Answer:
Domain(-infinity,+infinity)
Range=f(x) >or= - 34
Step-by-step explanation:
Domain for every parabola the domain is (-infinity, +infinity) unless there are any restrictions
Range we look at the y value of the maximum point or minimum points
We find it by finding the turning point
F'(x) =2x+6
0=2x+6
-6=2x
x=-3
F(-3)=(-3)^2+6(-3)-23
=-34
So all value that exist on the f(x) must be greater or =-34
What is the capacity of a rectangular tank calculated to the nearest litre? Length: 85cm Width: 65cm Height: 30cm
Answer:
Capacity of the rectangular tank in litres is 165.75l
Step-by-step explanation:
Volume of the tank
[tex] = lbh[/tex]
[tex] = 85 \times 65 \times 30[/tex]
[tex] = 165750 {cm}^{3} [/tex]
Capacity of the tank
[tex] = 165750ml[/tex]
[tex] = 165.75l[/tex]
g(x)=x ^2 and f(x)=x-7 so what is g(f(4)
Answer:
I think the answer is 9
=====================================================
Work Shown:
f(x) = x-7
f(4) = 4-7
f(4) = -3
We can see that f(4) and -3 are the same number. Because of this, we can replace f(4) with -3
This will have us go from g( f(4) ) to g( -3 )
Then we plug x = -3 into the g(x) function
g(x) = x^2
g(-3) = (-3)^2
g(-3) = 9 is the final answer
Again, since -3 and f(4) are the same thing, we can replace that '-3' in g(-3) to get
g( -3 ) = 9
g( f(4) ) = 9
-------------------
An alternative route:
g(x) = x^2
g( f(x) ) = ( f(x) )^2 .... replace every x with f(x)
g( f(x) ) = ( x-7 )^2 .... plug in f(x) = x-7 for the right hand side only
g( f(4) ) = ( 4-7 )^2 ... plug in x = 4
g( f(4) ) = (-3)^2
g( f(4) ) = 9
Use the elimination method to solve the system of equations.
A. Infinitely many solutions
B. (10, 10)
C. (16, 18)
D. No solution
Answer:
they are the dame line...
A. Infinitely many solutions
Step-by-step explanation:
el jefe decidió agregar la tabla de frecuencias correspondiente a la edad de sus empleados tal Como se muestra a continuación Cuál es el promedio de edad de los empleados de la empresa
Answer:
Average employee [Mean] = 43.6
Step-by-step explanation:
Given:
Interval Number of employee
25-35 20
35-45 7
45-55 8
55-65 15
Total 50
Find:
Average employee [Mean]
Computation:
Interval X[u+l]/2 Number of employee fx
25-35 30 20 600
35-45 40 7 280
45-55 50 8 400
55-65 60 15 900
Total 50 2,180
Average employee [Mean] = Sum of fx / Sum of x
Average employee [Mean] = 2,180 / 50
Average employee [Mean] = 43.6
Answer:
aeaaa
Step-by-step explanation:
Select the expression that represents the following statement: add 24 to the quotient of 16 and 8.
Answer:
16/8 + 24
Step-by-step explanation:
the quantity of the square of the sum of 4 times
x and 3, divided by the difference of x and 10
Answer:
Step-by-step explanation:
(4x+3)²÷(x-10)
=(16x²+24x+9)÷(x-10)
x-10) 16x²+24x+9 (16x+184
16x²-160x
- +
------------------
184x+9
184x-1840
- +
----------------
1849
----------------
Theresa has two brothers, Paul and Steve, who are both the same height. Paul says he is
16
inches shorter than
1
1
2
times Theresa’s height. Steve says he is
6
inches shorter than
1
1
3
times Theresa’s height. If they are both right, how tall is Theresa?
Answer:
From given, we have,
Paul says he is 16 inches shorter than 1 1/2 times Theresa's height.
Steve says he's 6 inches shorter than 1 1/3 times Theresa's height.
Let the height of Theresa be "x" inches.
So, we get,
For Paul, 1 1/2 x - 16 = T
⇒ 3/2 x - 16 = T ......(1)
For Steve, 1 1/3 x - 6 = T
⇒ 4/3 x - 6 = T .........(2)
equating equations (1) and (2), we get,
3/2 x - 16 = 4/3 x - 6
6 - 16 = 4/3 x - 3/2 x
-10 = (8 - 9)/6 x
-60 = -x
x = 60 inches.
Therefore, Theresa is 60 inches tall.
hElP- please.
:) points!
at the farmers market 8 apple cost $5.20 if each apple cost the samw amount what is the price per apple
[tex]\displaystyle\bf Solve:8\times p=5,2 \$ => p=\frac{5,2}{8} =\frac{5,2:\boxed{8}}{8:\boxed{8}} =0,65\$\quad She \:unit\: cost\:is\:\underline{ 0,65} \\\\Check :\:8\times\underline{0,65} =5,2\$ \\\\0,65=0,65 \\\\\rightarrow The\: price\:per \:apple \:is \: 0,65 \$[/tex]
(5^3)^5 please need help on this one
Answer:
Step-by-step explanation:
[tex](5^3)^5=5^{15}[/tex] which is absolutely huge. In scientific notation it is
3.051757813 × 10¹⁰
Answer:
(5×5×5)=125
125^5=30,517,578,125
final answer=30,517,578,125
resultado da prova da olimpíadas de matemática
find k so that x-1 is a factor of x^3 - 3x^2 + kx - 1
Answer:
[tex]{ \bf {factor : { \tt{x - 1}}}} \\ x - 1 = 0 \\ x = 1 \\ { \tt{f(x) = {x}^{3} - {3x}^{2} + kx - 1}} \\ { \tt{f(1) : {(1)}^{3} - 3 {(1)}^{2} + k(1) - 1 = 0}} \\ { \tt{k - 3 = 0}} \\ { \tt{k = 3}}[/tex]
Answer:
k = 3
Step-by-step explanation:
If x-1 is a factor of x³ - 3x² + kx - 1 then value of x is 1.
f (x ) = x³ - 3x² + Kx - 1 , then
plug 1 as x in the expression.
f ( 1) = ( 1)³ - 3 ( 1)² + k (1) - 1 = 0expand exponents
1 - 3 + k - 1 = 0combine like terms
-3 + k = 0Add 3 to both side
k = 3Chứng minh a=(P.sinA/2)/(cosB/2.cosC/2)
Answer:
I can't understand your question friend.
WORTH 25 POINTS!!!!!! PLS PLS PLS PLS PLS PLS PLS HELP I DON'T GET IT!!! Write missing monomials to make an identity:
A) (.....+2a)^2=.....+12ab+4*....
B) (3x+.....)^2=....*x^2+.....+49y^2
Answer:
(3x + 7y)^2 = 9 x^2 + 42xy + 49y^2
Step-by-step explanation:
The graph of quadratic function f has zeros of -8 and 4 and a maximum at (-2,18). What is the value of a in the functions equation
Hello,
Answer D
-8 and 4 are zeros ==> y=k*(x+8)(x-4)=kx²+4kx-32k
(-2,18) is a point of the curve:
18=k*(-2)²-8k-32k
-36k=18
k= - 1/2
Answer:
Have a great rest of ur day :)
Step-by-step explanation:
Question 2 Multiple Choice Worth 1 points)
(01.06 MC)
If D is the midpoint of AB and AB = 15, what is AD?
Answer:
If D is the midpoint of the segment AB, then we have to find the measure of segment AD. Therefore, AD = 7.5 units will be the answer.
89 x , 16x , -30x please show your work .
Answer:
Step-by-step explanation:
89x = 89 * x
16x = 2 * 2 * 2 * 2 * x
-30x = -1 * 2 * 5 * 3 * x
x is the only factor that is common in all three.
GCF = x
The triangle below is isosceles. Find the length of side xx in simplest radical form with a rational denominator.
Answer:
Solution given:
Since the given triangle is isosceles and right angled triangle
perpendicular [p]=base[b]=x
hypotenuse [h]=6
we have
by using Pythagoras law
p²+b²=h²
x²+x²=6²
2x²=36
x²=36/2
x²=18
x=[tex]\sqrt{18}[/tex]
x=[tex]\bold{3\sqrt{2}}[/tex]
The length of side x in simplest radical form with a rational denominator is [tex]3\sqrt{2}[/tex]
Let the perpendicular base be x.Given the following data:
Hypotenuse = 6 units.To determine the length of side x in simplest radical form with a rational denominator, we would apply Pythagorean's Theorem:
What is the Pythagorean Theorem?Mathematically, Pythagorean's Theorem is given by this formula:
[tex]c^2 = a^2 + b^2[/tex]
Substituting the given parameters into the formula, we have:
[tex]6^2 = x^2 + x^2\\\\36=2x^2\\\\18=x^2\\\\x=\sqrt{18} \\\\x=3\sqrt{2}[/tex]
Read more on Pythagorean Theorem here: https://brainly.com/question/16176867
15 years from now Renu will be four times her present age. What is Renu's present age?
Answer:
5 years
Step-by-step explanation:
(x+15)=4x
15=4x-x
15=3x
5=x
Ann Pablo and Dan have a total of $78 in their wallet ann has 10 more than Dan Pablo has two Times what Dan has how much do they have
Answer:
Amount Dan has = $17
Amount Ann has = $27
Amount Pablo has = $34
Step-by-step explanation:
Total amount they have = $78
Let
Amount Dan has = x
Amount Ann has = x + 10
Amount Pablo has = 2x
Total = Dan + Ann + Pablo
78 = x + (x + 10) + 2x
78 = x + x + 10 + 2x
78 = 4x + 10
78 - 10 = 4x
68 = 4x
x = 68/4
x = 17
Amount Dan has = x = $17
Amount Ann has = x + 10
= 17 + 10
= $27
Amount Pablo has = 2x
= 2(17)
= $34
plz do this i will mark you
Photo isn't clear.
And which number
plss answer someone the bottom question qracias
0.6(180) is the same as asking the question - What is 60% of 180?
To find that answer, we can multiply 0.6 by 180. We use the decimal 0.6 because that is the decimal form of 60%.
0.6 x 180 = 108
Another way we can find this answer is to find 1/10 of 180 and multiply this answer by 6 because 60/100 is the same thing as 6/10.
1/10 of 180 = 18
18 x 6 = 108
Hope this helps!
what is the range of this function 6 goes to 5 8 goes to -3 10goes to -8 and 12 goes to 7
a.(-3,7,8,12)
b.(-8,-3,5,6,7,8,10,12)
c.(-8,-3,5,7)
d.(6,8,10,12)
Answer:
C, {-8, -3, 5, 7}
Step-by-step explanation:
the range = the y-coordinates
i hope this helps you
Given a line segment that contains the points A,B, & C in order, if AB = 2x - 2, and BC = 2x + 10, and AC = 32, find x.
Select one: a. 6
b. 24
c. 8
d. - 4
Answer:
a. 6
Step-by-step explanation:
AB +BC =AC
2x-2+2x+10=32
4x+8=32
4x=32-8
4x=24
x=24/4
x=6
given the polynomial : (3x+4)^5. find the coefficient of x³ !
Answer:
[tex] \displaystyle 4320 {x }^{3} [/tex]
Step-by-step explanation:
to solve binomials like this there's a way called binomial theorem given by
[tex] \displaystyle {(a + b)}^{n} = \sum _{k = 0} ^{n} \binom{n}{k} {a}^{n - k} {b}^{k} [/tex]
but for this question we need the following part
[tex] \displaystyle \boxed{ \binom{n}{k} {a}^{n - k} {b}^{k} }[/tex]
from the question we obtain that a,b and n is 3x,4 and 5 since we want to find the coefficient x³ k should be (5-3) = 2 so we have determined the variables now just substitute
[tex] \displaystyle \binom{5}{2} {(3x)}^{5 - 2} \cdot {4}^{2} [/tex]
simplify which yields:
[tex] \displaystyle \boxed{ \bold{4320 {x }^{3}} }[/tex]
and we are done!
This afternoon Zoe left school, rode the bus 11/12 of a mile, and then walked 1/12 of a mile to get home. How much farther did Zoe ride than walk?
Write your answer as a fraction or as a whole or mixed number.
Answer:
Zoe rode [tex]\frac{5}{6}[/tex] of a mile more than she walked.
Step-by-step explanation:
[tex]\frac{11}{12}-\frac{1}{12} =\frac{5}{6}[/tex]
Mathematics can help me with
Answer:
Fabric Cloaks
21 6
7 2
14 4
Step-by-step explanation:
To represent the situation, we can write a ratio using the information 21 sq meters per 6 wizard cloaks. we can write:
21 sq m/ 6 cloaks
and simplify both the numerator and denominator by dividing each by 3:
7 sq m/ 2 cloaks
We can already fill out the second row because, from the ratio above, we can say 2 cloaks use 7 sq m.
For the next row, we need the number of cloaks, or the denominator to be 4. So, we need to multiply both the top and the bottom by two to get:
14 sq m/ 4 cloaks
This means 4 cloaks need 14 sq m.
Evaluate the integral.
Answer:
D
Step-by-step explanation:
[tex]\int\limits^4_1 {\frac{7^{lnx}}{x} } \, dx \\put~ln~x=y\\diff.\\\frac{1}{x} dx=dy\\when~x=1,y=ln1=0\\when x=4,y=ln~4\\\int\limits^{ln4}_0 {7^y} \, dy\\=\frac{7^y}{ln7} |0 ~\rightarrow~ ln 4\\= \frac{7^{ln4}}{7}[/tex]
the segment shown below would form a triangle 9 4 11
what expression is equivalent to 96+18
Answer:
114
Step-by-step explanation:
114
