Answers
Answer:
The first option is correct.
Related Questions
Please help!
Select the correct answer.
which statement best describes the zeros of the function h() = (x-4)(x-7x+ 10)
O A. The function has four complex zeros.
O B. The functlon has three distinct real zeros.
O C. The function has two distinct real zeros and two complex zeros.
O D. The function has four distinct real zeros.
Answers
Answer:
The zeros are:
[tex]x =4, x=2, x = 5[/tex]
The function has three distinct real zeros.Hence, option (B) is true.
Step-by-step explanation:
Given the expression
[tex]h\left(x\right)=\left(x-4\right)^2\left(x^2-7x+\:10\right)[/tex]
Let us determine the zeros of the function by putting h(x) = 0 and solving the expression
[tex]0=\left(x-4\right)^2\left(x^2-7x+10\right)[/tex]
switch sides
[tex]\left(x-4\right)^2\left(x^2-7x+10\right)=0[/tex]
as
[tex]x^2-7x+\:10=\left(x-2\right)\left(x-5\right)[/tex]
so
[tex]\left(x-4\right)^2\left(x-2\right)\left(x-5\right)=0[/tex]
Using the zero factor principle
[tex]\mathrm{If}\:ab=0\:\mathrm{then}\:a=0\:\mathrm{or}\:b=0\:\left(\mathrm{or\:both}\:a=0\:\mathrm{and}\:b=0\right)[/tex]so
[tex]x-4=0\quad \mathrm{or}\quad \:x-2=0\quad \mathrm{or}\quad \:x-5=0[/tex]
[tex]x =4, x=2, x = 5[/tex]
Thus, the zeros are:
[tex]x =4, x=2, x = 5[/tex]
It is clear that there are three zeros and all the zeros are distinct real numbers.
Therefore,
The function has three distinct real zeros.Hence, option (B) is true.
Last month for work Mr. Wheelboogie traveled 5150 miles. This month that total increased to 7895 miles. What is the percent increase in Mr. Wheelboogie's mileage? Round to the nearest whole %
Answers
Answer:
53%
Step-by-step explanation:
use formula: (new value - original value) / original value and you will get .533 which rounds to 53%
Find the missing value
Answers
PLEAASEEE HELP !!
Question: Which relationship below represents Y as a function of X ?
Answers
Answer:
The last one
Step-by-step explanation:
Joseph poured 1 liter of orange juice equally into 10 plastic cups how many mil liters are in each cup
Answers
1000ml split between 10 cups (1000 divided by 10)
100 ml is the answer
HELP PLZ WILL GIVE BRAINLYEST
Answers
Answer:
Light blue
Step-by-step explanation:
Answer:
x ≥ -5
Step-by-step explanation:
answers
|x-3|
-|x+3|
-|x-3|
|x|+3
Answers
its a positive 3 because you move it the opposite way im pretty sure
and it’s negative because it’s pointed down
Answer:
B) -|x+3|
Step-by-step explanation:
Use the equation y=a|x-h|+k
a=-1 since the graph opens downwards with no stretch or shrink
h=-3 since the horizontal shift is 3 units right
k=0 since there's no vertical shift
Therefore, our equation is y=-|x+3| making B the correct answer
A certain computer can perform a maximum number of operations per second. If this computer is running at 23% of the maximum and is performing 105 operations per second, what is the maximum number of operation the computer can perform per second
Answers
Answer:
I believe 457 operations
A line is drawn so that it passes through the points (-5,-3) and (-7,-5). What is the slope of the line?
Answers
Answer:
1
Step-by-step explanation:
The required slope of the line is 1 which passes through the points (-5, -3) and (-7, -5).
What is the slope of the line?The slope of a line is defined as the change in the y-coordinate (the "rise") divided by the change in the x-coordinate (the "run").
To determine the slope of the line that passes through the points (-5, -3) and (-7, -5), we can use the formula:
Slope m = (y₂ - y₁)/(x₂ -x₁ )
Let
x₁ = -5, y₁ = -3
x₂ = -7, y₂ = -5
∵ Slope m = (y₂ - y₁)/(x₂ -x₁ )
Plugging in the coordinates of the two points, we get:
slope = (-5 - (-3)) / (-7 - (-5))
Simplifying this expression gives us:
slope = -2 / -2
Which simplifies to:
slope = 1
Therefore, the slope of the line that passes through the points (-5, -3) and (-7, -5) is 1.
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A letter is randomly selected from the world,,PROBABILITY,,
what is the probability of getting a vowel letter
Answers
Answer:
In the word “PROBABILITY”
Total number of letters =11
Number of vowels (o, a, i, i) = 4
Thus, the required probability = 4/11
Find the 22nd term. 3, 7.5, 12, 16.5
Answers
Answer:
either or super sore
Step-by-step explanation:
What is the value of f(g(1))?
Answers
Answer:
1 is the answer
Step-by-step explanation:
just took the test.
The value of f(g(1)) is 1.
Option (D) is correct.
It is given that f(x)=3[tex]\sqrt{x}[/tex] +1.
To find value of f(g(1)).
What is function?A function is defined as a relation between a set of inputs having one output each.
The given f(x)=3[tex]\sqrt{x}[/tex] +1
at g(1)=0
f(g(1))=3[tex]\sqrt{0}[/tex] +1
f(g(1))=1
So, the value of f(g(1)) is 1.
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Find the value of 3(ab)^2 if a=2 and b=-1
Answers
Answer:
12
Step-by-step explanation:
3 (2*-1)^2
3*-2^2
3*4
12
This helps
Hope
Use the Distributive Property to write without parentheses:
4\left(3-2m\right)4(3−2m)
Answers
Answer: 12 - 8m If there is supposed to be a sign between the rwo expressions, that will change.
If its multiplication it would be 144 - 192m + 4m²
Step-by-step explanation:
Find the measure of
Angle 1:
Angle 2:
Angle 3:
Answers
Answer:
Angle 1 : 65°
Angle 2 : 115°
Angle 3 : 25°
Answer:
∠1 = 65
∠2 = 115
∠3 = 25
Step-by-step explanation:
Sum of angles in a triangle is 180.
40 + 75 + ∠1 = 180
115 + ∠1 = 180
∠1 = 180 - 115
∠1 = 65
∠1 and ∠2 are linear pair angles,
Sum of linear pair angles is 180
∠1 + ∠2 = 180
65 + ∠2 = 180
∠2 = 180 - 65
∠2 = 115
∠3 + ∠2 + 40 = 180
∠3 + ∠115 + 40 = 180
∠3 + 155 = 180
∠3 = 180 - 155
∠3 = 25
5/6 x 12 in simplest form?
Answers
Answer:
10
Step-by-step explanation:
Answer:
The answer is 10
Step-by-step explanation:
Select the correct answer. Which expression is equivalent to ^3 square root of 200k^15, if k ≠ 0
Please help I’m in the middle of a test
Answers
The equivalent algebraic expression to [tex]\sqrt[3]{200k^{15}}[/tex] is [tex]2~k^5~\sqrt[3]{25}[/tex]
The correct answer is an option (B)
What is algebraic expression?"It is a mathematical statement which consists of numbers variables and some algebraic operations."
What are exponents?"It refers to the number of times a number is multiplied by itself."
For given question,
We have been given an algebraic expression [tex]\sqrt[3]{200k^{15}}[/tex]
We need to find an equivalent algebraic expression to given expression.
We know that the properties of exponents,
for positive integers a, b, n
[tex]\sqrt[n]{a}=a^{(\frac{1}{n} )}\\\\\sqrt[n]{ab}=a^{(\frac{1}{n} )}b^{(\frac{1}{n} )}[/tex]
We can write algebraic expression [tex]\sqrt[3]{200k^{15}}[/tex] as,
[tex]\sqrt[3]{200k^{15}}\\\\=\sqrt[3]{25\times 8\times k^{15}}\\\\=(25)^{\frac{1}{3} }\times (8)^{\frac{1}{3} }\times (k^{15})^{\frac{1}{3} }\\\\=\sqrt[3]{25}\times 2\times (k)^{\frac{15}{3} }\\\\ =2\sqrt[3]{25} \times k^5\\\\=2~k^5~\sqrt[3]{25}[/tex]
Therefore, the equivalent algebraic expression to [tex]\sqrt[3]{200k^{15}}[/tex] is [tex]2~k^5~\sqrt[3]{25}[/tex]
The correct answer is an option (B)
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Most living things need oxygen to survive you breathe in oxygen and it is carried to this Organ. here the red blood cells pick up the oxygen and carry the oxygen to all the body cells that need it what is this organ
Answers
Answer:
The lungs
Step-by-step explanation:
becuase biology
What’s the answer ????
Answers
Answer:
2 1/2
Step-by-step explanation:
5/8 divided by 1/4 is 2 1/2
Question 23 geometry
Answers
Suppose that 4 ≤ f '(x) ≤ 5 for all values of x. What are the minimum and maximum possible values of f(4) − f(2)? ______≤ f(4) − f(2) ≤ ______
Answers
Answer:
[tex]8 \le f(4) - f(2) \le 10[/tex]
Step-by-step explanation:
Given
[tex]4 \le f'(x) \le 5[/tex]
Required
Determine the minimum and maximum value of f(4) - f(2)
This question will be answered using the following mean value theorem.
[tex]f'(x) = \frac{f(b) - f(a)}{b - a}[/tex]
In this case: [tex]b = 4[/tex] and [tex]a = 2[/tex]
So, we have:
[tex]f'(x) = \frac{f(4) - f(2)}{4 - 2}[/tex]
[tex]f'(x) = \frac{f(4) - f(2)}{2}[/tex]
Make f(4) - f(2), the subject:
[tex]f(4) -f(2) = 2 * f'(x)[/tex]
From the given range: [tex]4 \le f'(x) \le 5[/tex]
We have that; f'(x) is at minimum at 4
So, the minimum of f(4) - f(2) is:
[tex]f(4) -f(2) = 2 * 4[/tex]
[tex]f(4) -f(2) = 8[/tex]
We have that; f'(x) is at maximum at 5
So, the maximum of f(4) - f(2) is:
[tex]f(4) - f(2) = 2 * 5[/tex]
[tex]f(4) - f(2) = 10[/tex]
Hence, the minimum and maximum values can be expressed as:
[tex]8 \le f(4) - f(2) \le 10[/tex]
PLZ HELP
2x – 5 = 11
13 = -4x + 9
3) 7 – 3x = 34
4) 11 =
x−5+8
5)
−14x+3=12
6) Zachary wants to buy a new TV that costs $1664. He currently has $500 in his bank account, but plans to save an additional $60 each week. How many weeks until he had enough money to buy the TV?
7) A-plus Car Rental charges $52 plus $6 per mile to rent a car. James has $250 to spend. How many miles can he drive his rental car?
8) The party room at Penny’s Pizza rents for an initial fee of $30 and then $5 per hour. Aislyn’s bill for her birthday party was $50. For how many hours did she rent the room?
Answers
The steps for solving for x are to-
1) Simplify any numbers on one side that can be simplified
Example: 2x + 1 + 2 = 7 In this, 2 and 1 can be simplified to make 3 because they are both whole numbers. This can also be done with coefficients, like adding 4x and 6x on one side of the equation because they have the same variable.
2) Add or subtract the constants from the side with x.
Example: 2x + 3 = 7. Here, you would subtract 3, the constant, from both sides to isolate the x. The answer would be 2x = 4.
3) Divide by the coefficient.
Example: 2x = 4. Here, the coefficient is 2, because it’s the number next to the variable x. You’d divide it from both sides to get the answer x = 2.
Answers:
2x - 5 = 11
Here, to get rid of the -5, we add five to both sides of the equation to make it become 0. The reason you have to do it to BOTH sides is because you need the equation to stay equal.
2x - 5 = 11
(+5) (+5)
2x = 16
Now, the coefficient, 2, needs to be divided from both sides to isolate the x.
2x = 16
(/2) (/2)
x = 8
Here, the answer is that x = 8!
13 = -4x + 9
Here, once again, we first have to subtract from the side with the x on it before we divide. Because this number is a positive nine, we have to subtract 9 to get to zero, rather than how we added when we had a negative number.
13 = -4x + 9
(-9) (-9)
4 = -4x
Now, we are left with a coefficient of -4. When you divide this coefficient, you have to remember to keep in the negative, rather than dividing by 4.
4 = -4x
(/-4) (/-4)
-1 = x
The solution to this equation is that x = -1
7 - 3x = 34
First we have to subtract seven from both sides, because the seven in this equation is positive.
7 - 3x = 34
(-7) (-7)
-3x = 27
(Note that -3x is a negative number. This is because there was a subtraction mark in front of it.)
Now, we divide both sides by the coefficient, which is -3, to isolate the x
-3x = 27
(/-3) (/-3)
x = -9
In this equation, x is -9.
11 = x - 5 + 8
First, we simplify the (5 + 8) into one number
11 = x - 13
Then we add 13 to both sides to isolate the x
11 = x - 13
(+13) (+13)
24 = x
Because there is no coefficient, this equation ends here, and x is 24!
-14x + 3 = 12
(-3) (-3)
-14x = 9
(/-14) (/-14)
x = -9/14
Here, because you can’t make a whole number, you’d simplify the answer of x to be the fraction -9/14, because you are dividing 9 by -14.
6) To set up this equation, we have to identify the constants and coefficient.
- To start, we will use the variable x to be our unknown number for how many weeks he needs before he can buy the TV.
- We know his end goal is 1664, so that will be our answer.
- Our coefficient for x will be 60, because that’s how much money he’ll be getting each week.
- Our coefficient for the side of x will be 500, because he already has that fixed amount of money that can’t be altered by the variable x.
- Our equation will end up looking like this:
60x + 500 = 1664
(-500) (-500)
60x = 1164
(/60) (/60)
x = 19.4
Now, 19.4 isn’t a whole number. Since the number is over 19, we would round up to 20 because he needs a full week to put in the money.
So, in this equation, it would take him 20 weeks to buy the TV.
7) Let’s identify our values for this one.
The value for the unknown, how many values James can drive, will be x.
The total money he has is 250, so that will be our answer.
It costs 6$ per hour, so 6 will be our coefficient
The initial cost is 52$, so that will be the value on our x side.
The equation should look like:
6x + 52 = 250
(-52) (-52)
6x = 198
(/6) (/6)
x = 33
In this equation, James can drive his rental car for 33 hours!
8) Let’s identify the values for this one!
- Our unknown, how many hours Aislyn rented the room, will be represented by x
- Since it’s 5$ for each hour, our coefficient will by 5.
- An initial fee of 30$ means 30 will be our constant on the x side
- 50$ total means 50 will be on the opposite side of x.
The equation should look like:
5x + 30 = 50
(-30) (-30)
5x = 20
(/5) (/5)
x = 4
So, Aislyn rented the room for 4 hours!!
Hope this helps.
whats the slope of a perpendicular line that passes through the lines (29,24) and (3,4)
Answers
explanation: to find slope you do x’s over y’s so you would have
29-3
———
24-4
which gets you
26
——
20
and simplified its 1.3. Sorry if it is wrong :/.
Find the constant of variation if an employee earns $175 for 15 hours work.
Answers
Answer:
11.67
Step-by-step explanation:
3х 4 = 3
what is the value of x?
Answers
Answer:
1/3
Step-by-step explanation:
transfer 4 to the other side then the sign will be minus
then divide 1 by 3
Answer:
To find the x-intercept, substitute in 0 for y and solve for x.
To find the y-intercept, substitute in
0 for x and solve for y.
x-intercept(s):
(43,0)
y-intercept(s):
(0,4)
Step-by-step explanation:
hope this helps!
(Sorry if it doesn't)
:)
Need help! ASAP! With algebra
Answers
Answer:
2;4;3
Step-by-step explanation:
y=2x²+4x+3
Which inequality is graphed on the coordinate plane?
A. y ≥ -3x + 2
B. y ≤ -3x + 2
C. y > -3x + 2
D. y < -3x + 2
Answers
Answer:
The answer is (B)y ≤ -3x+2
The inequality is graphed on the coordinate plane is option B. y ≤ -3x + 2
What is inequality?Inequality is defined as the relation which makes a non-equal comparison between two given functions.
If the equation or inequality contains variable terms, then there might be some values of those variables for which that equation or inequality might be true.
Such values are called solutions to that equation or inequality.
A set of such values is called a solution set to the considered equation or inequality.
From the given figure of graphed function;
The inequality is graphed on the coordinate plane is
B. y ≤ -3x + 2
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which value completes the table?
Answers
Answer:
A
Step-by-step explanation:
Answer:
A
Step-by-step explanation:
Plug in -3 to t^2-3
-3^2-3
9-3
6
A is the only answer that has 6. So your answer would be A
a drum full of rice weighs 241/6 kg. If the empty drum weighs 55/4 kg, find the weight of rice in the drum
Answers
Answer:
I believe the answer would be 186
Step-by-step explanation:
241-55=186
Which of the following statements is correct?
A) The lines are parallel because the angles are equal
B) The lines are parallel because the angles are supplementary
C) The lines are not parallel because the angles are not equal
D) The lines are not parallel because the angles are not supplementary