Answer:
where are the options
Step-by-step explanation:
Answer: The answer is THE FUNCTION HAS THREE DISTINCT REAL ZEROS
Step-by-step explanation:
I’m pretty sure I still need to check if I got it right
Zara has forgotten her 4-digit PIN code. She knows the first digit is a factor of 20 and the 4 digits make a number divisible by 5. How many different sets of 4 digits could it be?
Answer:
800 different sets of digits.
Step-by-step explanation:
Since the first digit is a factor of 20, the factors of 20 are 1,2,4,5,10,20. We only need the single digit factors which are 1,2,4 and 5. These 4 numbers can be permuted in 1 way for the first digit, so we have ⁴P₁.
For the second digit, we have 10 digits permuted in 1 way, ¹⁰P₁ and also for the third digit, we have 10 digits permuted in 1 way, ¹⁰P₁ and for the last digit, which is divisible by 5, it is either a 0 or 5, so we have two digits permuted in 1 way, ²P₁.
So, the number of different 4 digit number that Zara'2 4-digit PIN code could be is ⁴P₁ × ¹⁰P₁ × ¹⁰P₁ × ²P₁ = 4 × 10 × 10 × 2 = 800 different sets of digits
800 different sets of 4 digit PIN could be made.
The First (single) digit is a factor of 20. So, it is among 1, 2, 4, 5. The other factors 10 & 20 are ignored, as they are 2 digits.So, ways of choosing 1 out of 4 digits = 4 P 1 = 4
The Second digit can be any digit among he 10 digits : 0, 1, 2, 3, 4, 5, 6, 7, 8, 9So, ways of choosing 1 out of 10 digits = 10 P 1 = 10
Third digit can also be any digit among he 10 digits : 0, 1, 2, 3, 4, 5, 6, 7, 8, 9So, ways of choosing 1 out of 10 digits = 10 P 1 = 10
The Fourth digit can be amongst only 0 & 1, as the final PIN is divisible by 5.So, ways of choosing 1 out of 2 digits = 2 P 1 = 2
Hence, total number of ways = 4 x 10 x 10 x 2 = 800 ways
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h^2 + 11h +18. The factored expression is
Answer:
(h+9)⋅(h+2)
Step-by-step explanation:
1.1 Factoring h2+11h+18
The first term is, h2 its coefficient is 1 .
The middle term is, +11h its coefficient is 11 .
The last term, "the constant", is +18
Step-1 : Multiply the coefficient of the first term by the constant 1 • 18 = 18
Step-2 : Find two factors of 18 whose sum equals the coefficient of the middle term, which is 11 . -18 + -1 = -19
-9 + -2 = -11
-6 + -3 = -9
-3 + -6 = -9
-2 + -9 = -11
-1 + -18 = -19
1 + 18 = 19
2 + 9 = 11 That's it
Step-3 : Rewrite the polynomial splitting the middle term using the two factors found in step 2 above, 2 and 9
h2 + 2h + 9h + 18
Step-4 : Add up the first 2 terms, pulling out like factors :
h • (h+2)
Add up the last 2 terms, pulling out common factors :
9 • (h+2)
Step-5 : Add up the four terms of step 4 :
(h+9) • (h+2)
Which is the desired factorization
Answer:
[tex] \boxed{ \bold{ \huge{ \boxed{ \sf{(h + 9)(h + 2)}}}}}[/tex]
Step-by-step explanation:
[tex] \sf{ {h}^{2} + 11h + 18}[/tex]
Here, we have to find out two numbers that adds to 11 and multiplies to 18
[tex] \dashrightarrow{ \sf{ {h}^{2} + (9 + 2)h + 18}}[/tex]
Distribute h through the parentheses
[tex] \dashrightarrow{ \sf{ {h}^{2} + 9h + 2h + 18}}[/tex]
Take h as common. Similarly, take 2 as common
[tex] \dashrightarrow{ \sf{h(h + 9) + 2(h + 9)}}[/tex]
[tex] \dashrightarrow{ \sf{(h + 9)(h + 2)}}[/tex]
Hope I helped!
Best regards! :F
is /62 rational or irrational
Answer:
yes it is rational
Step-by-step explanation:
it is rational because if 62 can be expressed as a ratio, then a quotient is the result you get when you divide one number by another number. For 62 to be a rational number, the quotient of two integers must equal 62. it can be expressed as a fraction in the form 62/1
Max's grandparents have $6000 that they want to give to him and his brother Sam. They like Sam more than Max, so they plan to give Sam 4 times the amount they will give Max. Determine the amount of money that Sam will get. Sam's Amount=$
Answer: Same will get $4800
Step-by-step explanation:
If Sam will get 4 times the amount of money they will give Max then we can come up with the equation s = 4m where s is the amount that same get and m is the amount that Max will get.
And we know that if they combine their money they will have $6000 in total so we can also come up the equation s + m = 6000
So using the equation
s= 4m and s+m=6000 substitute the value of x into the second equation and sole for m ..
4m + m = 6000
5m = 6000
m = 1200
So we know that Max will get $1200 and Sam will get 4 times as much as that.
s= 4(1200)
s = 4800
if x+y=3, x²+y²=5 then find the value of xy
Answer:
[tex]\huge\boxed{xy = 2}[/tex]
Step-by-step explanation:
=> [tex]\sf (x+y)^2 = x^2 + y^2 + 2xy[/tex]
Given that [tex]\sf x + y = 3 , x^2 + y^2 = 5[/tex]
=> [tex]\sf (3)^2 = 5 + 2xy[/tex]
=> [tex]9 = 5 + 2xy[/tex]
=> [tex]9-5 = 2xy[/tex]
=> [tex]4 = 2xy[/tex]
Dividing both sides by 2
=> 2 = xy
OR
=> xy = 2
How many ways are there to make 14 cents using any combination of pennies, nickels and dimes?
True or false: Axioms and postulates are statements that are accepted as true because they have been proven using logic and deductive reasoning. A: this statement is false. Axioms and postulates are statements that are accepted as true without proof. B: this statement is false. Axioms and postulates are statements that have not been shown to be true or false. C: this statement is true. D: this statement is false. Axioms and postulates are statements that are discarded as false because they have been disproved.
Answer:
C: this statement is true
Step-by-step explanation:
Axioms and postulates are statements that are accepted as true because they have been proven using logic and deductive reasoning.
They present themselves as self-evident. These are universally accepted and general truth.============
A: this statement is false. Axioms and postulates are statements that are accepted as true without proof.
False. They have been proven numerous of timesB: this statement is false. Axioms and postulates are statements that have not been shown to be true or false.
False. There are many evidences that they are trueC: this statement is true.
TrueD: this statement is false. Axioms and postulates are statements that are discarded as false because they have been disproved
False. They have not been disprovedA researcher needs 60 L of 50% concentrate solution for a certain experiment, but she has only 30% solution and 70% solution. How many liters of the 30% and the 70% solutions should she mix to get what she needs?
Answer:
30 liters of 30% solution and 30 liters of 70% of solution should be mixed by the researcher to get 60 liters of 50% solution.
Step-by-step explanation:
Let 'x' liters of 30% solution and 'y' liters of 70% solution are added together to get the required 60 liters of 50% of the solution.
According to the question, 30% solution and 70% solution are mixed and so, we get
[tex]0.3x+0.7y=0.5 \cdot 60\\\Rightarrow 0.3x+0.7y=30----(1)[/tex]
Also, sum of the final solution should be 60 liters only so, we get
[tex]x+y=60----(2)[/tex]
Solving equations (1) and (2), we get
[tex]x=30 liters\\ y=30 liters[/tex]
Hence, we can say that 30 liters of 30% solution and 30 liters of 70% of solution should be mixed by the researcher to get 60 liters of 50% solution.
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Find the equation of the line shown
Answer:
y=1/2x+0
Step-by-step explanation:
Since the slope is 1/2 and it starts at the origin, the b value is 0.
Answer:
1/2x
Step-by-step explanation:
I need the answer asap
Answer:
y=1/5x+7/5
Step-by-step explanation:
A function is shown in the graph below.
Which of the following intervals are part of the domain of the function?
Select all that apply.
Answer:
Option (1)
Step-by-step explanation:
Lines given in the graph represent the piecewise function,
We will find the domain of the given pieces in each quadrant of the graph.
For a line in quadrant 2,
Domain (set of x-values) → [-4, -2]
For second line in the same quadrant,
Domain : [-1, 0]
For a line in quadrant 4,
Domain : [1, 3]
Therefore, Option (1) is the correct option,
Option (1). 1 ≤ x ≤ 3
Which set of numbers does not contain 70? A) whole numbers B) irrational numbers C) integers D) natural numbers
Answer:
B) Irrational numbers
Step-by-step explanation:
The given number is [tex]70[/tex].
We know the number which doesn't have any fractional part or decimal part is an integer. Here, there is no fractional part with the number 70, so this is an integer.
This is one of counting numbers from the set of [tex]\{ 1,2,3,4,5,...\}[/tex], so this is a natural number.
Also, this belongs to the set of whole numbers [tex]\{0,1,2,3,...\}[/tex].
But, [tex]70[/tex] can be written in the form of [tex]\frac {p}{q}[/tex] as [tex]70= \frac {70}{1}[/tex] where [tex]p=70[/tex] , [tex]q=1[/tex] are integers and [tex]q \neq 0[/tex], so this is a rational number.
We know that any number that belongs to the rational number is not an irrational number.
Hence, [tex]70[/tex] does not belong to the set of irrational numbers.
So, option [tex](B)[/tex] is correct.
Answer:
the correct answer is b
Step-by-step explanation:
i took the test
Can someone help please!!!!!
Answer:
x
[tex] {x}^{2} - 3 [/tex]
it tom had 6 bottle of dish soap and he times 3 how many dish soap do he had all together
Answer:
18 dish soaps
Step-by-step explanation:
Answer:
it's 18 dish soap dish bottle.
Step-by-step explanation:
How many solutions does the equation: 4x-8=2(2x-4) have?
Write the algebraic expression of "What is the sum of 2"
How do you know if a given relation is a function or not a function?
Answer:
In general, a relationship f (x) = y is a function only if, for each value of x that you plug into it, you get only one value for y.
Step-by-step explanation:
Sometimes the only way to tell if a given relationship is a function or not is to try various values for x to see if they yield unique values for y.
100 points Write a function g whose graph represents the indicated transformation of the graph of f. f(x) = (1/2)x - 5; reflection in the x-axis a g(x) = (1/2)x - 5 b g(x) = -(1/2)x + 5 c none d g(x) = -(1/2)x - 5 e g(x) = (1/2)x + 5
Please help don’t know the answer
Answer:
D
Explanation:
I'm just typing this part to get to 20 characters
2nq = 3 + 7nq I'm doing math rn and I have trouble solving this
Answer:
nq = -3/5
Step-by-step explanation:
2nq = 3 + 7nq
5nq = -3
nq = -3/5
Find the value of y if EF = EG.
Answer:
55°Step-by-step explanation:
The question lacks appropriate diagram. Find the diagram in the attachment.
From the diagram, it can be seen that the triangle is an isosceles triangle because two of its sides are parallel (i.e the same). Since two of the sides are the same, hence the two base angles will be the same.
From the diagram, <EFG = <EGF
Since <EFG = 55° hence <EGF = y = 55°
Hence the va;ue of y is 55°
-3/4=x/26 solve, please .
Answer:
x=39/2 or 19.5
Step-by-step explanation:
I keep getting different answers. Can somone explain how I would set it all up?
Answer:
MY=80
Step-by-step explanation:
MX=MY ( since M is the midpoint)
2x+10=3x-5
10+5=3x-2x
15=x
MX+MY=MX
2x+10+3x-5=MY
2(15)+10+3(15)-5=MY
MY=80
On Saturday, the fruit and juice bar was selling 29 glasses of fruit punch an hour. By 7 p.m., they had sold 261 glasses. If their goal was to sell more than 348 glasses of fruit punch, find the number of hours, h, they must stay open to make their goal.
Answer:
they did not meet their goal
Step-by-step explanation:
square root of 1000 (simplified)
Answer:
10 √10
Step-by-step explanation:
Answer:
[tex]10\sqrt{10}[/tex]
Step-by-step explanation:
The largest perfect square of the factors of 1000 is 100. We can therefore convert √1000 like this:
√100 × 10
Next, we separate the numbers inside the √ as such:
√100 × √10
√100 is a perfect square that equals 10. We can therefore put 10 outside the radical and get the final answer to square root of 1000 in simplest radical form as follows:
10√10
Use Pascal’s Triangle to determine the fifth term of the expansion of (x + 3)7
Answer:
2835x^5.
Step-by-step explanation:
By Binomial Theorem, T(r+1) = nCr * a^(r+1) * b^r.
Term 5 = 7C4 * x^5 * 3^4
= 35 * x^5 * 3^4
= 2835x^5.
Consider a rectangle with width of x units and an area of 10 square units. The length l of the rectangle can be modeled by the function f (x) = StartFraction 10 Over x EndFraction.
Answer:
When we have a rectangle of width W and length L, the area of this rectangle can be calculated as:
A = W*L
In this case we have:
W = x
L = 10/x.
Then the area of the rectangle will be:
A = W*L = x*(10/x) = 10
So the value of x cancels in the equation, which means that we can not find the value of x.
Now, as L = 10/x we can find some restrictions:
if x = 0, we would have L = 10/0
So we can not have x = 0.
And as W = x, this represents a positive measure, we also have that x can not be a negative number.
So the relation:
W = x
L = 10/x
Gives us all the possible combinations of width and length such that the area of the rectangle is exactly 10 square units.
Answer:
third graph
Step-by-step explanation:
1. y = -2 √(25-x ) +8
2. y = -3 √(x+ 9) +4
Please help
X AND Y INTERCEPTS
1st Answer:
x = 9
Step-by-step explanation:
first you want to substitute the y
0 = -2 √(25 - x + 8)move the expression to the left
2 √(25 - x) = 8divide both sides
√25 - x + 4move the constant to the right
25 - x = 16calculate
-x = -9change the signs
x = 92nd Answer:
x = -65/9 OR x = - 7 2/9, x = - 7.2
Step-by-step explanation:
first you want to substitute the y
0 = -3 √(x + 9) = 4move the expression to the left
3√(x+9) = 4divide both sides
√(x+9) = 4/3move the constant to the right
x = 16/9 - 9calculate
x = -65/9
Is 536 cm greater or less then 53.6 DM
Answer:
536 cm is equal to 53.6 dm
Step-by-step explanation:
Answer:
=
Step-by-step explanation:
An archaeologist earns $9147 monthly. Determine the amount he is paid annually.