Answer:
16÷2
Step-by-step explanation:
It would be 16 divided by 2. This is because in the diagram they are splitting 16 by 2. Splitting 16 by 2 gets you two 8's.
9. The functions f and g are such that
f(x) = 3(x – 4) and g(x) = x/5+1
a) Find the value of f(10)
b) Find g-'(x)
c) Show that ff(x) = 9x - 48
Answer:
a) f(10) = 18
b) g-¹(x) = 5x-5
c) 3((3(x-4))
= 3((3x-12)-4))
= 3(3x-16)
= 9x-48
The value of f(10) = 18, g'(x) = 1/5 and ff(x) = 9x - 48
What is function?A function is defined as a relation between a set of inputs having one output each. In simple words, a function is a relationship between inputs where each input is related to exactly one output.
Given that, The functions f and g are such that f(x) = 3(x – 4) and
g(x) = x/5+1
a) f(10) = 3(10-4)
= 3(6)
= 18
b) g'(x) = d/dx(x/5+1)
= 1/5d/dx(x) = 1/5
c) ff(x) =
= 3((3(x-4))
= 3((3x-12)-4))
= 3(3x-16)
= 9x-48
Hence, The value of f(10) = 18, g'(x) = 1/5 and ff(x) = 9x - 48
For more references on functions, click;
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What are the effects on the graph of y=x^2 caused by the values of a, h, and k in the function y=a(x-h)^2+k
y = 2 ( x −3 ) 2 −8 is the correct answer to the question
What are the effects on the graph of y=x^2 caused by the values of a, h, and k in the function y=a(x-h)^2+k
Thom is saving up his money to buy a laptop that costs $719.95. Right now he has $178.95, and can save
$79.00 each week. How many weeks will it take for Thom to have enough money to buy the laptop?
Answer:
6.84 weeks
Step-by-step explanation:
$719.95 - $178.95 = 541$
541/79 = 6.84 weeks
Help plsss!!!!! Urgent question now
Answer:
<1 and <3
Step-by-step explanation:
2/4 ............. 3/6?
NONE OF THESE
EQUAL
GREATER THAN
LESS THAN
Answer:
these numbers are greater than not less than
Solve this and get 20 points
take x =initial deposit amount. then make equation:
x+75.5+55.25-25.15-18.65 = 210.85
simplify:
x+86.95 = 210.85
x=210.85 - 86.95
x=123.90
so Initial deposit amount is $123.90
check: 210.85+18.65+25.15-55.25-75.5 = 123.9
123.9 = 123.9
What is the number? I did many ways but i didn't found it, please guys help me with it.
Answer:
A). 15
B). -1.2
Step-by-step explanation:
A). [10(x+3)]-20 = 160
10x+30-20 = 160
10x+10 = 160
10x = 160-10
10x = 150
x = 150/10
x = 15
B). 5{[4(8+(5x))]-9} = 85
5(32+20x+9) = 85
5(32+9+20x) = 85
5(41+20x) = 85
205+100x = 85
100x = 85-205
100x = -120
100x/100 = -120/100
x = -1.2
----------------------------------------------------------------------
HOPE THIS HELPS!!!
How can we identify a proportional relationship on a graph?
Answer:
dsfsdfgdf
Step-by-step explanation:
I give crown :---))))
Answer:
44 I think
Step-by-step explanation:
um if it's wrong sorry
a) in a right-angled triangle, if hypotenuse is 20 cm and the
ratio of the other two sides is 4:3, find the sides.
Answer:
Step-by-step explanation:
Ratio = 4 :3
Other two sides = 4x , 3x
Pythagorean theorem
(4x)² + (3x)² = 20²
16x² + 9x² = 400
25x² = 400
x² = 400 ÷ 25
x² = 16
x = √16
x = 4 cm
4x = 4*4 = 16
3x = 3*4 = 12
Sides = 16cm , 12 cm
9
Quadrilateral ABCD has at least one pair of opposite angles congruent. What types of quadrilaterals meet this condition?
A) Parallelogram
B) Rhombus
C) Rectangle
D) Square
E) Trapezoid
F) Kite (Diamond)
Answer:
A) Parallelogram
B) Rhombus
C) Rectangle
D) Square
Step-by-step explanation:
Quadrilateral ABCD has at least one pair of opposite angles congruent. What types of quadrilaterals meet this condition?
A quadrilateral is a 4 sided polygon or a shape that has 4 sides.
When we say opposite angles are congruent or means that they are similar or equal to each other.
Quadrilateral ABCD has at least one pair of opposite angles congruent. The types of quadrilaterals that meet this condition are:
A) Parallelogram
B) Rhombus
C) Rectangle
D) Square
Translate this phrase into an algebraic expression. Six less than the product of 20 and a number
Answer:
20x-6
Step-by-step explanation:
20x-6
because the product of 20 and a number would be 20 multiplied by that number (in this case, we're representing that number with x), and it says six less than which means 20x subtracted by 6
Which expression is equivalent to 28x – 17?
A. -7 (-4x - 10)
B. − 3 ( − 10 x + 3 ) − 2 ( x + 12 )
C. 1 4 ( − 8 x + 4 ) − 6 ( − 5 x + 3 )
D. 1 2 ( 60 x − 10 ) − 2 ( x − 6 )-
Please help!!
Pls help should be easy for a high schooler!!! This is due in an hour pls help. It’s easy but hard for me! Worth points!!!! I need the most accurate answer. If able to solve this in an hour ur a life saver❤️
how Do I solve
17 1/2 - 10 1/8
Answer:
59/8 or 7 3/8
Step-by-step explanation:
make improper fractions, then multiply 1st one by to make denominator equal then subtract
Answer:
7 3/8
Step-by-step explanation:
You have to make 17 1/2 and 10 1/8 into improper fractions, which would be 35/2 and 81/8. Then you have to find a common denominator, which is 16, so you get 280/16 - 162/16. You subtract and get 118/6, which simplifies to 7 3/8. Hope this helps :)
PLEASE HELP SERIOUSLYI WILL GIVE BRAINLEST AND 100 POINTS JUST ANSWER AND IT HAS TO BE RIGHT OR ELSE...
A culture is tested for bacteria and has 3.3 million bacteria. The culture is then tested every 10 minutes and each time it is tested there are 2.5 times more bacteria.
How many bacteria in millions will there be in the culture after 30 minutes?
Round to the nearest hundredth.
8.25
75.00
51.56
115.00
Answer:
C. 51.56 millionStep-by-step explanation:
Initial number of bacteria = 3.3 millionGrowth rate = 2.5 times per 10 minutesTime = 30 minutes = 3*10 minutesNumber of bacteria after 30 minutes:
3.3*2.5³ = 51.5625Correct choice is C
Answer:
after 10 minute total bacteria=2.5×3.3=8.25 millions
in 1 minute total bacteria=2.5×3.3/10 =0.825millions
in 30 minute total bacteria=30×2.5×3.3/10 millions=24.75million is your answer.but i did not get any match.
solve the equation
5x-(2x-13)=40
Answer:
9
Step-by-step explanation:
open the bracket, you will have
5x-2x+13=40
collect like terms
5x-2x=40-13
3x=27
divide both side by 3
3x/3=27/3
x=9
Answer: 9
Step-by-step explanation:
5x-(2x-13)=40
Open bracket by -1
5x-2x+13. = 40
3x. = 40-13
3x. =. 27
Divide both sides by 3
x. = 27/3.
x. = 9
PLEASE IF YOU HAVE ANY MORE QUESTIONS PLEASE COMMENT BELOW.
Pleas helppp its due soon
Answer:
D
Step-by-step explanation:
I dont think this needs explained
Answer:
The last option, it is greater than the distance from the Movie Theater to the Arcade
Step-by-step explanation:
Distance from food court to store is 6 units
Distance from movie theater to arcade is 5 units
Which equation could be solved using this application of the quadratic formula?
-2 + 22 – 4(1)(-4)
2(1)
I
Answer:
C. x^2 + 2x - 1 = 3
Step-by-step explanation:
The standard form of a quadratic equation is
ax^2 + bx + c = 0
We need to use the quadratic formula and the given expression to find the values of a, b, and c.
The quadratic formula is
[tex] x = \dfrac{-b \pm \sqrt{b^2 - 4ac}}{2a} [/tex]
Where the formula has -b, the problem has -2, so b = 2.
Now we have
ax^2 + 2x + c = 0
In the denominator, where the formula has 2a, the problem has 2(1), so a = 1.
Now we have
x^2 + 2x + c = 0
Inside the root, the quadratic formula has -4ac. the problem shows -4(1)(-4). Since we already know that a = 1, then c = -4.
Now we have
x^2 + 2x - 4 = 0
Let's look at choice A.
x^2 + 1 = 2x - 3
Subtract 2x from both sides. Add 3 to both sides.
x^2 - 2x + 4 = 0 This is not it!
Let's look at choice B.
x^2 - 2x - 1 = 3
Subtract 3 from both sides.
x^2 - 2x - 4 = 0 This is not it!
Let's look at choice C.
x^2 + 2x - 1 = 3
Subtract 3 from both sides.
x^2 + 2x - 4 = 0 This is it!
Answer: C. x^2 + 2x - 1 = 3
[tex]x^{2} +2x -1=3[/tex] equation could be solved using this application of quadratic formula.
Option D is correct.
What is quadratic equation?A quadratic equation is an algebraic equation of the second degree in x. The quadratic equation in its standard form is [tex]ax^{2} +bx +c =0[/tex], where a and b are the coefficients, x is the variable, and c is the constant term.
Quadratic formulaThe quadratic formula is used to find the roots of a quadratic equation.
[tex]x=\frac{-b \pm \sqrt{b^{2} -4ac} }{2a}[/tex]
According to the question
[tex]x=\frac{-2 \pm \sqrt{2^{2} -4(1)(-4)} }{2.1}[/tex]
We all know the quadratic formula for finding the factors of a quadratic equation
[tex]x=\frac{-b \pm \sqrt{b^{2} -4ac} }{2a}[/tex]
By comparing two formulas we get a = 1, b = 2, c = -4
Standard form of quadratic equation is [tex]ax^{2} +bx +c =0[/tex]
Substitute a = 1, b = 2, c = -4 in the standard form of quadratic equation
⇒ [tex]x^{2} +2x-4=0[/tex]
We can write it as
⇒ [tex]x^{2} +2x -1=3[/tex]
[tex]x^{2} +2x -1=3[/tex] equation could be solved using this application of quadratic formula.
Option D is correct.
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f(x)=4x^2 − 10x+2
Find f(−7)
Answer:
f(-7)=268
Step-by-step explanation:
f(-7)=4x^2 − 10x+2
f(-7)=4(-7)^2-10(-7)+2
f(-7)=4(49)+70+2
f(-7)=196+72
f(-7)=268
Answer:
198
Step-by-step explanation:
4(-7)^2+70+2
196+2=198
Tell whether x and y are proportional.
Answer:
They're proportional
Step-by-step explanation:
y/x always equals 5
$862.00, 43% off
new price is $
Answer:
491.34
Step-by-step explanation: (862 x 43)/100 = $370.66 then you 862 - 370.66 = $491.34 i hope this helps
Answer:
$491.34
Step-by-step explanation:
Take $862 x .43 = 370.66
then you take 862.00 and subtact it by 370.66
then you get $491.34
f(x)=x+2
g(x)=3x^2-5
Find (f•g)(x).
Answer:
f ( [tex]x^{2}[/tex]+ 5 ) = 3[tex]x^{2}[/tex] + 13
Step-by-step explanation:
a metal pipe is 77 cm long the inner diameter of the cross section is 4 cm and the outer diameter is 4.8 cm find the (i) inner curved surface area (ii) outer curved surface area (iii) total surface area
Answer with full step by step explaination
Answer:
Step-by-step explanation:
outer area=
first need to find the circumference of outer diameter
= π×4.8
= 15.079644.... cm
to find the outer curved area you would then do
= 77×15.079644
(ii) =1161.13264 cm²
inner curve area
circumference= π×4
=12.5663706.... cm
77×12.5663706
(i) =967.610537 cm²
total surface area=
as the outer and inner curved areas are already found only the top and bottom surfaces need to be
= area of larger circle
=π×4.8²
=72.382294.... cm²
smaller circle
=π×4²
=50.2654824.... cm²
72.382...-50.265
=22.1168116 x 2
=44.2336232 cm²
total surface area
(iii)= 2172.9768 cm²
(round this to however many decimals you need)
I hope this is understandable and useful!
also how many marks is this for?
Determine whether the following expression is a polynomial. If it is a polynomial, find the degree and determine whether it is a monomial, binomial, or trinomial.
Expression: 7a2b+3b2
Polynomial? Answer
Degree? Answer
Terms? Answer
Name? Answer
leading coefficient:
[tex]\mathfrak{\huge{\orange{\underline{\underline{AnSwEr:-}}}}}[/tex]
Actually Welcome to the Concept of the Equations.
[tex]7 {a}^{2}b + 3 {b}^{2} [/tex]
1.) Polynomial ==> Binomial
2.) Degree ==> 2
3.) Terms ==> 2
4.) Name ==> Quadratic Equation in two variables.
5.) Coefficient => 7 and 3
Answer:
1.) Polynomial ==> Binomial
2.) Degree ==> 2
3.) Terms ==> 2
4.) Name ==> Quadratic Equation in two variables.
5.) Coefficient => 7 and 3
Step-by-step explanation:
1.) Polynomial ==> Binomial
2.) Degree ==> 2
3.) Terms ==> 2
4.) Name ==> Quadratic Equation in two variables.
5.) Coefficient => 7 and 3
what number lies halfway between 16 and 38
Answer:
27
Step-by-step explanation:
Help please some one
Answer:42
Step-by-step explanation:
16+16+10
5x – 4y < 20
Can someone help me graph please
Answer:
i cant show you how to but use desmos graphing calculator, copy and paste that equation and it will do it for you
Step-by-step explanation:
Line segments AB and CD are both part of the dame non-vertical line,and the slope of line segment AB is 6, hsing similar triangles,what can you show the slope of line segment CD to be?
A. -6
B. -1/6
c. 1/6
d. 6
Answer:
6
Step-by-step explanation:
How to evaluate 11/2
Answer-
in decimal from: 5.5
in mixed number form: 5 1/2