Simplify the expression
Answer:
f(x) = x - 6 g(x) = x - 5Step-by-step explanation:
[tex]\dfrac{x^2-8x+12}{x^2-7x+10}\\\\x^2-7x+10\ne0\ \iff\ x=\frac{7\pm\sqrt{49-40}}{2}\ne0\ \iff\ x\ne5\ \wedge\ x\ne2\\\\\\\dfrac{x^2-8x+12}{x^2-7x+10}=\dfrac{x^2-2x-6x+12}{x^2-2x-5x+10}=\dfrac{x(x-2)-6(x-2)}{x(x-2)-5(x-2)}=\\\\\\ =\dfrac{(x-2)(x-6)}{(x-2)(x-5)}=\dfrac{x-6}{x-5}\\\\\\f(x)=x-6\\\\g(x)=x-5[/tex]
In a state, 30% of all people own a scooter, and 41% of all people have a skateboard and bicycle. Find the probability of choosing a person that has a scooter and then choosing another person sequentially who has a skateboard and bicycle? Round answer to nearest tenth and include percent sign.
Answer: 50%.
Step-by-step explanation: If someone went shopping for a scooter and it was $49.99 dollars but saw a skateboard for $14.99, they would choose the skateboard because it’s cheaper. If someone else went to the store because they wanted a skateboard but then they saw a scooter for $23.99 and a bike for $19.99 there is a 50% chance they will choose the cheaper one. (I hope this ,add sense
The probability is given by the equation P = 12.3 %
What is Probability?The probability that an event will occur is measured by the ratio of favorable examples to the total number of situations possible
Probability = number of desirable outcomes / total number of possible outcomes
The value of probability lies between 0 and 1
Given data ,
Let the probability of choosing a person that has a scooter and then choosing another person sequentially who has a skateboard and bicycle be P
Now , the equation will be
Let the probability of selecting a person owing a scooter A = 30 %
Let the probability of selecting a person owing a scooter A = 0.3
Let the probability of selecting a person owing a skateboard and bicylce be B = 41 %
Let the probability of selecting a person owing a skateboard and bicylce be B = 0.41
Now ,
Probability of choosing a person that has a scooter and then choosing another person sequentially who has a skateboard and bicycle P = probability of selecting a person owing a scooter A x probability of selecting a person owing a skateboard and bicylce B
Substituting the values in the equation , we get
Probability of choosing a person that has a scooter and then choosing another person sequentially who has a skateboard and bicycle P = A x B
Probability of choosing a person that has a scooter and then choosing another person sequentially who has a skateboard and bicycle
P = 0.3 x 0.41
P = 0.123
Hence , the probability is P = 12.3 %
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Which Linear function is represented by the graph?
•f(x)-2x +1
•f(x)= -1/2x +1
•f(x)= 1/2x + 1
•f(x)= 2x + 1
Answer:
the second one
slope is negative go down one right 2
I'm not sure what to do about this problem, so please help me out.
Answer:
21
Step-by-step explanation:
Let the three consecutive integers be;
x , x + 1 and x + 2:
The sum of squares of the two smaller numbers:
The two smaller numbers are x and x+ 1
Sum of their squares:
x² + (x+1)²;
x² + x² + 2x + 1 = 2x² + 2x + 1
It is 45 more than the square of the larger number:
Larger number = x + 2
(x+2)² = x² + 4x + 4
45 more;
x² + 4x + 4 + 45 = x² + 4x + 49
Both are equal:
2x² + 2x + 1 = x² + 4x + 49
2x² - x² + 2x - 4x + 1 - 49 = 0
x² - 2x - 48 = 0
x² - 6x + 8x - 48 = 0
x(x - 6) + 8(x - 6) = 0
(x + 8)(x-6) = 0
x + 8 = 0 or x - 6 = 0
x = -8 or x = 6
We choose x = 6 because it makes the solution true as a positive integer
Sum of the three numbers:
x + x + 1 + x + 2 = 6 + 6 + 1 + 6 + 2 = 21
help pls
6 x (2-8) + 4
Answer:
-32
Step-by-step explanation:
Answer:
8
Step-by-step explanation:
In Solving This You will Need To;
*First You Open The Bracket Which is
6×(2-8)+4
6×2-8+4
*So after this you will multiply the 6 by the 2 which is going to be;
12-8+4
*So after you have multiplied 6 by 2 you can choose to subtract the 8 from the 12 or you can also choose to add the -8+4 either way you choose you're going to arrive at the same answer. So I choose to subtract 8 from the 12 so it's going to be;
4+4
Then you add the four plus 4 so the final answer will be 8
(If I chose to add the -8+4 it would have been -4 so 12-4 would have also given me 8 so any step is acceptable)
A gardener is installing fence around his garden. Let x represent the width of the garden, in feet. The perimeter of the garden is 8x + 8. Which expression represents the length of the garden?
1. 2x + 2
2. 3x + 4
3. 6x + 8
4. 8x + 8 – 2x
Answer:
2. 3x + 4
Step-by-step explanation:
What we know:
w=x
Perimeter (p) = 8x+8
Formula for perimeter p =2(L+W)
8x+8 = 2(L+W)
L+W is half, so
L+W = 4x+4
Substract W on both sides;
L = 4x+4 -W
We know that W = x
So
L= 4x+4-x
4x-x= 3x
L= 3x+4
What is the sales tax on a $14,500 truck if the tax rate is 9%? (not the total cost)
Answer:
$1,305
Step-by-step explanation:
14500x0.09=1,305
PLEASE HELP! FIRST TO ANSWER AND I'LL MATK YOU BRAINLIEST! I MEAN IT"S ONLY 7TH GRADE MATH!!!!!!
an antelope running started and covered 1,110 feet in 15 seconds. what is the antelopes speed in feet per second. plz show your work.
A 4-cup container of disinfectant costs $4.68. What is the price per pint?
$
Submit
Ms. Lai loves soup. This weekend she visited each of her family member’s house to drink their soup. She drank 2 cups of soup at her aunt’s place, 4 pints of soup at her uncle’s place, and 2 quarts of soup at her dad’s place. Can you find out how many ounces of soup she drank this weekend???? Give explanation this is due in 15 min HELPP pleaseee
Answer:
112 Ounces
Step-by-step explanation:
2 Cups + 4 Pints + 2 Quarts = 14 Cups
14 Cups = 112 Ounces
Answer:
144 ounces of soup
Step-by-step explanation:
2 cups= 16 ounces
4 pints= 64 ounces
2 quarts= 64 ounces
64+64+16=144
What is the simplified value of the expression below?
12.4 x (negative 6.3)
Answer:
78.12
Step-by-step explanation:
Answer:
78.12
Step-by-step explanation:
I really need help on this ASAP
7 1/8 convert into a decimal and put the steps
Answer:
Step 1: Multiply the whole number by the denominator: 7 × 8 = 56.
Step 2: Add the product you got in Step 1 to the numerator: 56 + 1 = 57.
Step 3: Divide the sum from Step 2 by the denominator: 57 ÷ 8 = 7.125.
Step-by-step explanation:
Answer:
7.125
Step-by-step explanation
NEED YOUR HELP ASAP!!!!!
Carey correctly graphs a linear function. The slope of the functions is -1. The y-intercept is 3. Which is carey's graph?
Answer: You didn't show us the graphs so we can't tell you.
Step-by-step explanation:
In right triangle ABC, altitude CD is drawn to its hypotenuse. Select all triangles which must be similar to triangle ABC.
Answer: ABC, ACD, CBD
Step-by-step explanation: I just did this problem and got it wrong. It then gave me the correct answer which is ABC, ACD, CBD.
The triangles that should be similar to triangle ABC is ABC, ACD, CBD.
What is the right triangle:
It is known as the rectangled triangle where the one angle should be treated as the right angle or here the two sides should be perpendicular. The relationship between the sides and the other angles should depend upon the trigonometry
Therefore, The triangles that should be similar to triangle ABC is ABC, ACD, CBD.
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Don bought 3/4 of a pound of jelly beans and ate 5/8 of the jelly beans before he got home. How much candy was left?
Answer:
CAN YOU MARK ME BRAINLIEST ??
The answer is 1/8 candy left!!
Step-by-step explanation:
3/4=6/8 because x2.
6/8-5/8= 1/8
Answer:
1/8 of the jelly beans
Step-by-step explanation:
You need to create a common denominator between the two fractions. Since both 4 and 8 go into 8, that will be the common denominator. To get 4 to 8, you have to multiply by 2, so to even it out you multiply the numerator by 2(3x2) which equals 6. Now the first fraction is 6/8 and the second is still 5/8. If he ate 5/8 of 6/8 jelly beans, you need to subtract. 6/8 minus 5/8 is 1/8
Here is the same number machine.
Input
Output
x 2
+ 3
17
Work out the input when the output is 17.
What is the answer to: two minus a number x is no more than 0
Answer:
x > 2
General Formulas and Concepts:
Order of Operations: BPEMDASStep-by-step explanation:
Step 1: Translate
"Two" = 2
"minus" = subtraction
"a number x" = x
"is no more than" = <
"0" = 0
Step 2: Set up inequality
2 - x < 0
Step 3: Solve for x
Subtract 2 on both sides: -x < -2Divide both sides by -1: x > 2Here we see that any value larger than 2 would work as a solution of x.
Hi! Can someone answer and explain how you got that answer? I’m practicing for the asvab, if you can explain in the most simplified way, it’d be much appreciated
Answer:
D.)
Step-by-step explanation:
multiply every side by 5 since it's a square each side is equal!
Does this graph represent a function? khan academy
Answer:
yes
Step-by-step explanation:
its a graph
Answer:
No
Step-by-step explanation:
It isn't a positive linear association nor a negative linear association. If you were to connect those lines, it would not be a linear function of any kind of association.
Factor 3x^2 + 7x + 2
Answer:
(x+2)(3x+1) are the factors
Answer:
(3x+1)(x+2)
Step-by-step explanation:
I don't know how to explain it but that's what I got.
I hope it's right!
Someone help with both please
Answer:
linear increasing
Step-by-step explanation:
and b for the second one
Help me I will give u brainlest
Answer:
(4,0)
Step-by-step explanation:
plz give brainliest!
Answer:
4,0
Step-by-step explanation:
if xy=5 and x square +y square =25 ,then (x+y)square
Answer:
(x + y)² = 35
Step-by-step explanation:
The expansion of
(x + y)² = x² + 2xy + y²
= x² + y² + 2xy ← substitute given values
= 25 + 2(5)
= 25 + 10
= 35
Answer:
35
Step-by-step explanation:
[tex]xy = 5 \\ \\ {x}^{2} + {y}^{2} = 25 \\ \\ \because \: {(x + y)}^{2} = {x}^{2} + {y}^{2} + 2xy\\ \\ \therefore {(x + y)}^{2} = 25 + 2 \times 5 \\ \\ \therefore {(x + y)}^{2} = 25 + 10 \\ \\ \huge \red{ \boxed{\therefore {(x + y)}^{2} = 35}}[/tex]
I need help on this question
We're doing writing equations with Point & Slope
through: (5,1) slope= 4/5
good luck lol
Answer:
y = 0.8x - 3
Step-by-step explanation:
See attached screenshot solution using Desmos
"A square is a rectangle with four congruent sides" (write this statement in each of the forms below)
O hypothesis
O conclusion
O conditional
O inverse
O Converse
O contrapositive
O and biconditional
Answer:here
Step-by-step explanation:
here is the key
Whats the vertex of this question
PLEASE HELP find the sins of z
Answer:
It's easy
Step-by-step explanation:
Check the attachment for your answer
Simplify this please (multi choice)