Answer:
C
Step-by-step explanation:
Substitute each of the values into f(x) and if equal to zero then it is an x- intercept.
f(3)
= 3³ - 3² - 8(3) + 12 = 27 - 9 - 24 + 12 = 6 ≠ 0
f(- 4)
= (- 4)³ - (- 4)² - 8(- 4) + 12 = - 64 - 16 + 32 + 12 = - 36 ≠ 0
f(- 3)
= (- 3)³ - (- 3)² - 8(- 3) + 12 = - 27 - 9 + 24 + 12 = 0
f(4)
= 4³ - 4² - 8(4) + 12 = 64 - 16 - 32 + 12 = 28 ≠ 0
Since f(- 3) = 0 then x = - 3 is an x- intercept of f(x)
The x - intercept of the function f (x) = x³ - x² - 8x + 12 will be;
⇒ x = - 3
What is an expression?Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.
We have to given that;
The function is,
⇒ f (x) = x³ - x² - 8x + 12
Now,
Since, The function is,
⇒ f (x) = x³ - x² - 8x + 12
We know that;
The x - intercept of the function is satisfy the function.
So, We check all the option to find the x - intercept as;
Put x = 3;
⇒ f (x) = x³ - x² - 8x + 12
⇒ f (3) = 3³ - 3² - 8×3 + 12
⇒ f (3) = 27 - 9 - 24 + 12
⇒ f (3) = 6 ≠ 0
Put x = -4;
⇒ f (x) = x³ - x² - 8x + 12
⇒ f (-4) = (-4)³ - (-4)² - 8×-4+ 12
⇒ f (-4) = -64 - 16 + 32 + 12
⇒ f (-4) = - 36 ≠ 0
Put x = -3;
⇒ f (x) = x³ - x² - 8x + 12
⇒ f (-3) = (-3)³ - (-3)² - 8×-3 + 12
⇒ f (-3) = -27 - 9 + 24 + 12
⇒ f (-3) = 0
Thus, The x - intercept of the function is,
⇒ x = - 3
Learn more about the mathematical expression visit:
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Write an inequality. The temperature is supposed to be below 29 degree to night
Answer:
t<29
Step-by-step explanation:
t=temp
8 = a -2
What does a equal
Answer:
a = 10
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightEquality Properties
Multiplication Property of Equality Division Property of Equality Addition Property of Equality Subtract Property of EqualityStep-by-step explanation:
Step 1: Define
8 = a - 2
Step 2: Solve for a
Add 2 on both sides: 10 = aRewrite: a = 10Step 3: Check
Plug in a into the original equation to verify it's a solution.
Substitute in a: 8 = 10 - 2Subtract: 8 = 8Here we see that 8 does indeed equal 8.
∴ a = 10 is the solution to the equation.
CAN SOMEONE PLEASE HELP ME!!!
f is inversely proportional to √ g . When f = 8 , g = 25 Work out f when g = 16
Answer:
f = 10
Step-by-step explanation:
find out the constant of variation 'k': F = k/[tex]\sqrt{g}[/tex]
8 = k/ [tex]\sqrt{25}[/tex]
k = 8 · 5
k = 40
f = 40/[tex]\sqrt{16}[/tex]
f = 40/4
f = 10
6x2 + 6x – 1= -5x – 4
Answer:
x= -1/3 or x= -3/3
Step-by-step explanation:
Let's solve your equation step-by-step.
6x2+6x−1=−5x−4
Step 1: Subtract -5x-4 from both sides.
6x2+6x−1−(−5x−4)=−5x−4−(−5x−4)
6x2+11x+3=0
Step 2: Factor left side of equation.
(3x+1)(2x+3)=0
Step 3: Set factors equal to 0.
3x+1=0 or 2x+3=0
x= -1/3 or x= -3/3
(-1) 1001 integers .solve this
Answer:
-1
Step-by-step explanation:
(-1)^1001
= (-1)^1000 * (-1)^1
Since -1 raise to the power of an even number gives a positive value, then;
(-1)^1000 = 1
(-1)^1000 * (-1)^1 = 1 * -1
(-1)^1000 * (-1)^1 = -1
Hence (-1)^1001 = -1
Use the side-splitter theorem to solve for x in the triangle below.
Express in the form 1 : n . Give n as a decimal. 20 : 15
Answer:
1 : 0.75
Step-by-step explanation:
Given the ratio
20 : 15 ← divide both parts by 20
[tex]\frac{20}{20}[/tex] : [tex]\frac{15}{20}[/tex]
= 1 : 0.75
Answer:
n=0.75
Step-by-step explanation:
what is x and y if x + y = 115
Answer:
57.5
Step-by-step explanation:
That's the answer I think because very limited information so I just divide 115 by 2
Answer:
{55,60}
Step-by-step explanation:
{x,y} = {55,60}
Please help im desperate
Tickets to a freshman basketball game are $5 for students and $8 for adults. Last week 64 tickets were sold to the game for a total of $461. How many of each ticket were sold?
Answer:
Step-by-step explanation:
Let s be number of students and a be number of adults.
a + s = 64 -> 5a + 5s = 320
8a + 5s = 461
(8a + 5s) - (5a + 5s) = 461 - 320
3a = 141
a = 47
a + s = 64 -> s + 47 = 64 -> s = 17
Please thank, rate 5, and give brainliest if helpful!
Answer:
a + s = 64 -> 5a + 5s = 320
8a + 5s = 461
(8a + 5s) - (5a + 5s) = 461 - 320
3a = 141
a = 47
a + s = 64 -> s + 47 = 64 -> s = 17
give brainliest if helpful!
Identify the conclusion of the statement.
If 2n-7 > 25, then n > 16
1- 2n-7 > 25
2- n > 16
3- 2n > 32
4- no conclusion can be made
Answer:
2) n > 16
Step-by-step explanation:
Usually, a statement is written as:
If P, then Q
Where P = hypothesis
Q = conclusion.
And our statement is:
if 2n - 7 > 25, then n > 16
(We can easily solve the inequality to get the thing in the right:
2n - 7 > 25
2n > 25 + 7 = 32
n > 32/2 = 16
n > 16 )
then:
P = (2n - 7)
Q = n > 16
Then the conclusion is: n > 16
The correct option is 2) n > 16
The price of gasoline is $3.15 the price when Ryan's mother start drawing was 4/7 of the current price what was the price of the gasoline when Ryan's mother start driving
Answer:
$3
Step-by-step explanation:
Solve the equation.
W-13= 3.5
(Simplify your answer. Type an integer or a decimal.)
Answer:
w = 16.5
Step-by-step explanation:
w - 13 = 3.5
+13 +13
w = 16.5
Which equation is a linear function?
y= 22 +7
y = 22 - 1
y= Ź - 5
y= 1 +
Answer:
y=22-1
Step-by-step explanation:
ewaan di ako sure
What is the answer? Does anyone know?
Answer:
the answer is C <3
Step-by-step explanation:
Can someone answer this please!!
PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!!
PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!! I DONT KNOW HOW TO GRAPH SO CAN YOU SHOW ME HOW TO DO IT PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!! PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!! PLS DRAW IT
Answer:
C
Step-by-step explanation:
-⅔ (6x +9) = 18 I really need some help and understanding with this one. Thanks in advance!!
-⅔ (6x + 9) = 18
Apply distributive property. Multipy -⅔ to 6x and 9.
-4x - 6 = 18
Add 6 to both sides so -4x can be alone.
-4x - 6 + 6 = 18 + 6
-4x = 24
To get x alone, divide both sides by -4.
-4/-4x = 24/-4
x = -6
x = -6 is your answer. I hope this helps! Let me know if you need more help or if I got something wrong.
Which of the following represents a function?
(5, 1), (5, 2), (5, 3), (5, 4)
(3, 4), (-3, 2), (3, 8), (5, 5)
(-1, 2), (-2, 1), (-1, -2), (-2, -1)
(2, 3), (4, 3), (-2, -3), (-4, -3)
2 Which of the following is the equation of the straight line with slope of 2 and with the same y-
intercept as that of the line represented by the equation y = 4x - 2?
F
1
y = 2x +
G
1
y = 4x -
2
Hy = 4x + 2
Jy = 2x - 2
Answer:
y = 2x-2
Step-by-step explanation:
Generally, we have the equation of a straight line as;
y = mx + b
where m is the slope and b is the y-intercept
For the second equation, we can see that the y-intercept value is -2
So using the slope 2, we write the complete equation as;
y = 2x - 2
Consider the differential equation dy/dx = xy. Let y = f(x) be the function that satisfies the differential equation with initial condition f(1) = 1. Use Euler's Method, starting at x = 1 with a step size of .1, to approximate f(1.2).
Answer:
[tex]f(1.2)=1.221[/tex]
Step-by-step explanation:
From the question we are told that
[tex]dy/dx = xy[/tex]
Initial condition[tex]f(1) = 1.[/tex]
[tex]x = 1[/tex]
[tex]Step\ Size\ of\ 0.1[/tex]
Generally equation for [tex]y_1[/tex] is given mathematically as
[tex]f_0=F(1,1)=1[/tex]
Therefore
[tex]y_1=y_0+hf_0[/tex]
[tex]y_1=y_0+(0.1)(1)[/tex]
[tex]y_1=1.1[/tex]
Generally the approximation of the solution is mathematically given by
[tex]x=1+h\\x=1+0.1\\x=1.1[/tex]
[tex]y=1.1[/tex]
Generally the [tex]f_1[/tex] is mathematically given by
[tex]F_1=f(1.1,1.1)\\F_1=1.21[/tex]
Generally the [tex]y_2[/tex] is mathematically given by
[tex]y_2=y_1+hf_1\\y_2=1.1+0.121\\y_2=1.221[/tex]
Generally the approximation to the solution
at
[tex]y_2=1.221[/tex]
[tex]x_2=1.1+0.1\\x_2=1.2[/tex]
Therefore
[tex]f(1.2)=1.221[/tex]
A company receives different types of objects and typically receives 75 new objects on average each month. The company currently has 210
objects in stock, which have a variety of properties. Write
an algebraic equation that describes the relationship between the number of
additional months the company receives objects (m) and the total number of objects in the company (t).
Fill in the blank for
Answer: t= 75m+210
Step-by-step explanation:
Linear equation: y= nx+c
, where n =rate of change of y with respect to x, c= initial value of y
Let m= number of additional months the company receives objects .
t =total number of objects in the company.
Given: Number of objects received per month = 75. (Rate of change of t w.r.t. m)
Current number of objects = 210 (Initial value)
Then, t= 75m+210
Hence, the required algebraic equation: t= 75m+210
PLEASE SOMEBODY HELP ME! I DONT UNDERSTAND THIS!
because the two angles are opposite of two straight lines, they're equal
x+5=2x-5
ad five to both sides
x+10=2x
subtract x from both sides
x=10
Annie decided to build a fence around her 15 ft long rectangular flowerbed. How many feet of fencing should she buy if the width of the flowerbed is 4/5 the length?
Answer:
54 ft
Step-by-step explanation:
Length of the rectangular flowerbed = 15 ft
Width of the rectangular flowerbed = 4/5 of the length
= 4/5 × 15
= (4*15)/5
= 60/5
= 12
Width of the rectangular flowerbed = 12 ft
How many feet of fencing should she buy
Perimeter of the rectangular flowerbed = 2(length + width)
= 2(15ft + 12ft)
= 2(27ft)
= 54 ft
Perimeter of the rectangular flowerbed = 54 ft
She should buy 54 ft of fencing
the owner of the store buys calculator for $12. If she marks the up by 30% at what price does she sell them?
Answer:
3.6=30% 3.6+12=15.6 $15.6
Step-by-step explanation:
I hope this helps! Have a fantastic fri-yay! May I have brainliest!
In order to determine her pulse rate, June’s nurse counted 18 beats in her pulse in 15 seconds. At this rate, how many beats would she have in 60 seconds?
In this Problem you can use the Cross Multiplication.
If in 15 seconds the nurse counted 18 beats, so in 60 seconds she will count x beats.
15 seconds = 18 beats
60 seconds = x beats
You use the cross multiplication and multiply 60 by 18 and 15 by x, so you get:
15x = 60 * 18
15x = 1080
Then, you divide 15x and 1080 by 15 each, so you get:
x = 72
So, the Nurse counted 72 beats in 60 seconds
Yourwelcome :)
Answer: 72 bmp
Step-by-step explanation: multiply by 4 because 15 goes into 60 4 times
MARKING PEOPLE AS BRIANLIST
What type of triangle is this?
Answer:
i think thats an obtuse triangle
Step-by-step explanation:
Answer: its an obtuse triangle
Step-by-step explanation:
Help me plzzz
Homework: Compound Probability Part 2
Answer:
1. 1/18
2. 49/144
3. 5/24
4. 1/4
Step-by-step explanation:
FULL DISCLAIMER these may or may not be correct i have only worked with stats and probability a few times
A circle has an area of 1256.637061. What is the diameter? (round to the nearest whole number)
Answer:
The diameter is 40
Step-by-step explanation:
Do you knows the product of a number and four is 1.08. He says the other factor must be 2.7 because there's only one digit before the decimal point in the product 1.08, so, there must be one digit before the decimal in the factor. Is drew correct
Answer:
Drew is incorrect
Step-by-step explanation:
Drew is incorrect
Let the number be x such that if the product of the number and four is 1.08 then
x * 4 = 1.08
Divide both sides by 4
x = 1.08/4
= 0.27
Drew is incorrect because the result (1.08) has 2 decimal places and not once as deduced by him hence the number of digits before the decimal point for the numbers being multiplied must be 2.
