Answer:
a = 0.3 and b = - 1.1
Step-by-step explanation:
(x - 2)² = x² -4x + 4
Hence, x² - 4x + 4 = 3x - 6
x² - 7x + 10 = 0
(x - 5)(x - 2) = 0
∴ x = 5 or 2
f(5) = 25a + 5b = 2 ----- (i)
f(2) = 4a + 2b = -1 ------ (ii)
(i) X 2: 50a + 10b = 4 ----- (iii)
(ii) X 5: 20a + 10a = -5 ---- (iv)
Subtract (iv) from (iii): 30a = 9
a = 0.3
Substitute a into (ii) to obtain b
4(0.3) + 2b = -1
2b = -1 - 1.2 = -2.2
∴ b = -1.1
the number 3^13 - 3^10 is divisible by
please I need answers
Answer:
9, 11, 1, 0, 11
There's a patern
Answer:
Ans: 9,11,1,0,11. Do u need the workings
please help Yuto has a bag containing 3 red marbles, 5 blue marbles, 2 green marbles, and 8 yellow marbles. Rin reaches into the bag, pulls out a blue marble, and puts it in her pocket. Then Misaki reaches in and pulls out a marble. What is the total number of possible outcomes for Misaki’s marble?
Answer: 47.1%
Step-by-step explanation:
Answer:
The answer is C.17
Step-by-step explanation:
Drink your daily water!! Have a nice day everyone :)
Find the probability of drawing a 6 and then a 6
(without replacement) from a standard deck of carNs.
A deck of cards has 52 total cards and four 6’s
Picking a 6 first would be 4/52 = 1/13
Without replacing there are 51 cards left and three 6’s
Picking a 6 would be 3/51 = 1/17
Probability of doing both is:
1/13 x 1/17 = 1/221
Samatha received $500 as a graduation present and decides to invest it in an account that is
compounded continuously. How much will be in the account at the end of 5 years if the interest
rate is 3%?
Answer:
Step-by-step explanation:
m= month
3÷100= 0.03
0.03×500=$15
$15/m
$15×5×12=$900
$500-$900=
Answer: -$400
A projectile with an initial velocity of 48 feet per second is launched from a building 190 feet tall. The path of the projectile is modeled using the equation h(t) = –16t2 + 48t + 190. Approximately when will the projectile hit the ground? 1.5 seconds 3.2 seconds 5.3 seconds 6.2 seconds
Hello! :)
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Answer:
5.3 seconds
Step-by-step explanation:
The answer is 5.3 seconds because
If you solve this equation than you will see how it is 5.3 seconds.
Equation: [tex]h (t) = -16t ^ 2 + 48t + 190 [/tex]
Also if you graph it, the answer will be 5.3 seconds
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Hope this helps! :)
By: BrainlyMember ^-^
Good luck!
Answer:
^ as the other person said, it's 5.3
Step-by-step explanation:
edge
Express as a trinomial (2x-5) (3x-8)
Answer:
6x^2 -31x +40
Step-by-step explanation:
2x * 3x + 2x * - 8 + -5 * 3x -5 * -8 Distributive property
6x^2 -16x -15x + 40 Math
6x^2 -31x +40 Answer
Gabriel note sur une frise chronologique les événements familiaux importants. Il utilise des entiers positifs ou négatifs. Pour écrire une date avant sa naissance, il utilise des nombres négatifs et pour une date après sa naissance, des nombres positifs. Par exemple, la mère de Gabriel a reçu une médaille en l'an -20−20minus, 20 et la sœur de Gabriel est née en l'an +5+5plus, 5. Que représente l'année 0~?0 ?0, space, question mark Réponse : Réponse : L'année où la sœur de Gabriel est née L'année de la naissance de Gabriel L'année où la mère de Gabriel a reçu une médaille
Answer:
L'option B est correcte. Le chiffre 0 représente l'année de naissance de Gabriel.
Option B is correct.
The number 0 represents the year when Gabriel was born.
Step-by-step explanation:
Il a été déclaré dans la question que Gabriel a enregistré des événements tge dans leur vie par rapport à quand il est entré en scène. Avec des exemples notables donnés pour illustrer que les nombres négatifs indiquent les temps avant la naissance de Gabriel et les nombres positifs indiquent les années après la naissance de Gabriel.
Par conséquent, il est simple de voir que l'année 0 en termes relatifs à la naissance de Gabriel représentera l'année de naissance de Gabriel.
J'espère que cela t'aides!!!
English Translation
Gabriel notes on a timeline important family events. It uses positive or negative integers. To write a date before his birth, he uses negative numbers and for a date after his birth, positive numbers. For example, Gabriel's mother received a medal in the year -20 and Gabriel's sister was born in the year + 5. What does the year 0 represent? Answer:
A) The year when Gabriel's sister was born
B) The year when Gabriel was born
C) The year when Gabriel's mother received a medal
Solution
It was stated in the question that Gabriel recorded tge events in their lives relative to when he came into the picture. With noticeable examples given to illustrate that the negative numbers indicate times before Gabriel's birth and positive numbers indicate years after Gabriel's birth.
Hence, it is straighforward to see that the year 0 in relative terms to Gabriel's birth will represent the year in which Gabriel was born.
Hope this Helps!!!
The vertex form of the equation of a parabola is y = = 6(x-2)²-8.
What is the standard form of the equation?
A. y = 12x2 - 6x + 8
B. y = 6x2 - - 24x + 16
c. y = 6x2 - 4x + 4
O D. y = 12x2 - 12x + 16
Answer:
B. y = 6x^2 - 24x + 16.
Step-by-step explanation:
y = 6(x - 2)^2 - 8
y = 6(x^2 -4x + 4) - 8
y = 6x^2 - 24x + 24 - 8
y = 6x^2 - 24x + 16.
Simplify: ( ++)2 + ( −+)2 + ( +−)2
Answer:
[tex]-2[/tex]
Step-by-step explanation:
[tex]( ++)2 + ( -+)2 + ( +-)2[/tex]
[tex]++ = +[/tex]
[tex]-+ = -[/tex]
[tex]+- = -[/tex]
[tex]( +)2 + ( -)2 + ( -)2[/tex]
[tex]2-2-2[/tex]
[tex]=-2[/tex]
Find the surface area of a triangular pyramid with side of 6m, height of 5.2 m, and altitude of 7.2m
Answer:
6x5.2/2=15.6 and four sides so 15.6*4=62.4 and left with 7.2*6/2=21.6 and add u get 84
Step-by-step explanation:
Find the next 4 terms of this Fibonacci sequence -x, x+y, y
Answer:
see explanation
Step-by-step explanation:
Any term in a Fibonacci sequence is the sum of the previous 2 terms.
Given the first 3 terms then
a₄ = a₂ + a₃ = x + y + y = x + 2y
a₅ = a₃ + a₄ = y + x + 2y = x + 3y
a₆ = a₄ + a₅ = x + 2y + x + 3y = 2x + 5y
a₇ = a₅ + a₆ = x + 3y + 2x + 5y = 3x + 8y
Thus the next four terms are
x + 2y, x + 3y, 2x + 5y, 3x + 8y
The radius of a circle is given as 10cm subject to an error of 0.2cm. the error in the area of the circle is?
Answer:
12.56 [tex]cm^2[/tex] is the error in area of circle.
Step-by-step explanation:
Given that:
Radius of the circle, r = 10 cm
Error in measurement of radius, [tex]\triangle r[/tex] = 0.2 cm
To find:
The error in area of circle = ?
Solution:
First of all, let us have a look at the percentage error in measurement of radius:
[tex]\dfrac{\triangle r}{r}\times 100 = \dfrac{0.2}{10}\times 100 = 2\%[/tex]
Now, we know that Area of a circle is given as:
[tex]A = \pi r^2[/tex]
[tex]\Rightarrow \dfrac{\triangle A}{A} \times 100 = 2 \times \dfrac{\triangle r}{r} \times 100\\\Rightarrow \dfrac{\triangle A}{A} = 4\%[/tex]
Area according to r = 10
[tex]A = 3.14\times 10^2 = 314 cm^2[/tex]
Now, error in area = 4% of 314 [tex]cm^2[/tex]
[tex]\Rightarrow \dfrac{4}{100} \times 314 = 12.56 cm^2[/tex]
So, the answer is:
12.56 [tex]cm^2[/tex] is the error in area of circle.
PLEASE HELP ME IM SO CONFUSED The volume of a cube is x³ cubic units. The surface area of the cube is x³ square units. What is the value of x?
Answer: The value of x is 6.
Step-by-step explanation:
TO find the volume of a cube you cube any side length. so if the side length is 6.
6^3 = 216
To find the surface area of a cube you will square one of the side lengths and multiply it by 6.
so the side length is 6 and 6 squared is 36
36*6 = 216
help pls thx guys photo attached
Answer:
x = 18
A = 110
Step-by-step explanation:
Angles A and B are supplementary angles so they add to 180 degrees
A + B = 180
5x+20 + 9x -92 = 180
Combine like terms
14x -72 = 180
Add 72 to each side
14x-72+72 = 180+72
14x = 252
Divide each side by 14
14x/14 = 252/14
x =18
A = 5x+20
= 5*18 +20
=90 +20
= 110
If 4 is added to three quarter of a number and the result is 1. Find the number.
Answer:
-4Step-by-step explanation:
Let the number be X
According to Question,
[tex]4 + \frac{3}{4} x = 1[/tex]
[tex]4 + \frac{3}{4} x - 4 = 1 - 4[/tex]
[tex] \frac{3}{4} x = - 3[/tex]
[tex]x = \frac{ - 3 \times 4}{3} [/tex]
[tex]x = \frac{ - 12}{3} [/tex]
[tex]x = - 4[/tex]
Hope this helps...
Good luck on your assignment...
Helppp!!!! please!!!
Answer:
D
Step-by-step explanation:
The arc AB is calculated as
AB = circumference of circle × fraction of circle
= 2πr × [tex]\frac{120}{360}[/tex]
= 2π × 24 × [tex]\frac{1}{3}[/tex] = [tex]\frac{48\pi }{3}[/tex] = 16π → D
For f(x) = 4x+ 1 and g(x) = x2 - 5, find (f+ g)(x).
Answer:
x^2+4x-4
Step-by-step explanation:
4x+1+x^2-5
x^2+4x-4
Answer:
A. x² + 4x - 4
Step-by-step explanation:
When the question asks for (f + g)(x), it simply means to add function f(x) and function g(x):
4x + 1 + x² - 5
4x + x² - 4
x² + 4x - 4
What is the solution to the equation x2 = 16?
Answer:
+4, -4
Step-by-step explanation:
[tex]x^{2} =16\\\sqrt{x^{2} }=\sqrt{16}\\x=4/ x=-4[/tex]
A bag contains 5 blue marbles, 2 black marbles, and 3 red marbles. A marble is randomly drawn from the bag the possibility of not drawing a black marbles is? The probability of drawing a red marble is?
Answer:
3/10
Step-by-step explanation:
as the total number of marbles is 10 and the red marbles are 3 so the probability of drawing red marble will be 3/10.
Answer:
The possibility of not drawing a black marble= 4/5
The probability of drawing a red marble = 3/10
Step-by-step explanation:
Blue marbles = 5
Black marbles = 2
Red marbles = 3
Total marbles = 5 + 2 + 3 = 10
The possibility of not drawing a black marble = No of (blue + red) marbles/ Total marbles = ((5+3)/10 = 8/10 = 4/5
The probability of drawing a red marble = No of red marbles/Total marbles =3/10
NEED HELP ASAP WHOEVER ANSWERS THE QUESTION RIGHT FIRST GETS THE MOST BRAINLIEST
Answer:
150
Step-by-step explanation:
360 - (130 + 80) = 150
Answer:
150
Step-by-step explanation:
130+80= 210
360-210= 150
so it is 150
Alberto uses the steps below to solve the equation One-half x minus 3 equals 7. Step 1: One-half x minus 3 plus 3 equals 7 plus 3 Step 2: One-half x plus 0 equals 10 Step 3: One-half x equals 0 Step 4: 2 (one-half) x equals 2 (10) Step 5: 1 x equals 20 Step 6: x equals 20 Which justifies Step 6 of his work? the addition property of equality the identity property of addition the multiplication property of equality the identity property of multiplication
Answer:
Identity property of multiplication
Step-by-step explanation:
Given
Step 5: 1x = 20
Step 6: x = 20
Required
Property that justifies step 6
It should be noted that step 6 is a result of step 5.
So, basically the question is asking for the property applied on step 5.
Given that step 5 is: 1x = 20
The property applied is the identity property of multiplication.
This is so because this property states that when 1 is multiplied to an equation, the result remains the same.
Hence;
When 1 is multiplied to x (i.e. 1x), the result is still x.
So, 1x = 20 at step 5 gives x = 20 at step 6
Answer: Option B is the correct answer.
The identity property of addition
9. A water glass can hold 2/9 of a litre of water. How many glasses of water can be filled with a 3 litre bottle?
Answer:
13.5 glasses of water
Step-by-step explanation:
If:
1 water glass can hold 2/9 of a litre
x water glasses can hold 3 litres.
Therefore, expressing it as a litre to glass ratio, we have::
[tex]\dfrac{2/9}{1}=\dfrac{3}{x} \\\dfrac{2}{9}x=3\\$Divide both sides by$ \dfrac{2}{9}\\x=3 \div \dfrac{2}{9}\\x=3 \times \dfrac{9}{2}\\\\x=13.5[/tex]
Therefore, 13.5 glasses of water can be filled with a 3 litre bottle.
If y − 4 = 2x, which of the following sets represents possible inputs and outputs of the function, represented as ordered pairs? Which order pair is it? {(2, 1), (4, 2), (6, 3)} {(1, 2), (2, 4), (3, 6)} {(4, 0), (6, 1), (8, 2)} {(0, 4), (1, 6), (2, 8)}
Answer:
the fourth set
Step-by-step explanation:
if you plug this equation into desmos and look at the x-values, you will see that the fourth set is the only one with points that make this equation true.
Answer:
D
Step-by-step explanation:
which of the following rational functions is graphed below?
Answer:
D
Step-by-step explanation:
1/x+1
Which of the following is the graph of a linear function?
Answer:
The first one.
Step-by-step explanation:
A linear function is a straight line, regardless of direction.
The first graph is of a linear function.
The phrase linear function denotes to function which is linear, specifically of this form:
[tex]f(x) = mx + c[/tex]
This is also written as:
[tex]y = mx + c[/tex]
It is written so that we can take the outputs of the function f(x) in a separate variable for further mathematical treatments with ease.
Now when that second equation is plotted on XY plane, you get a straight line graph since this is the equation form of any straight line, in geometry.
All the straight lines are covered under y = mx + c linear function form.
Since the first graph contains a plot of straight line, thus the first graph is of linear function.
The second graph is of downwardly opened vertical parabola which is of degree 2, thus not linear.
Thus first graph is the graph of a linear function.
Learn more here:
https://brainly.com/question/959487
Keisha wants to buy a stereo. Her mother said if Keisha saved 75% of the cost of the stereo, she would pay the other 25% and the taxes. If the cost of the stereo is $150.00, how much money does Keisha need to save?
Answer:
$112.50
Step-by-step explanation:
150x.75=112.5
Answer:
its 112.50
Step-by-step explanation:
i got it right
The triangles shown below must be congruent.
A. True
B. False
Answer:
true
Step-by-step explanation:
The grade of a road is its slope written as a percent. A warningsign must be posted if a section of road has a grade of at least 8% and ismore than 750 feet long.a. Interpret and Apply A road rises 63 feet over a horizontal distanceof 840 feet. Should a warning sign be posted? Explain your thinking.b. Critical Thinking The grade of a section of road that stretches over ahorizontal distance of 1000 feet is 9%. How many feet does the roadrise over that distance?
Answer:
(a)Grade =7.5% (No warning sign is needed)
(b)Rise =90 feet
Step-by-step explanation:
[tex]\text{Slope = }\dfrac{Rise}{Run}[/tex]
(a)
Rise = 63 feet
Run (Horizontal distance) = 840 feet.
[tex]\text{Slope = }\dfrac{63}{840}=0.075\\\\$Grade=Slope \times 100 = 0.075 \times 100 = 7.5\%[/tex]
A warning sign should not be posted since its grade is less than 8%.
(b)
Grade = 9%
Run (Horizontal distance) = 1000 feet.
Recall that:
Grade = Slope X 100
[tex]9 =\dfrac{Rise}{1000} \times 100\\\\9 =\dfrac{Rise}{10}\\\\$Rise = 9 \times 10 \\$Rise=90 feet[/tex]
The road rises 90 feet over a distance of 1000 feet.
HELP ASAP NEED HELPPP