Answer:
True
Step-by-step explanation:
4x8=32
4x8=3236-4=32
Hence, the equation is true.
Use the graph that shows the solution to f(x)=g(x).
f(x)=−(x+2)(x−2)
g(x)=2|x+2|
What is the solution to f(x)=g(x)?
Select each correct answer.
−2
0
2
4
Answer:
-2
Step-by-step explanation:
if showing in graph would be minus 2
The solution to f(x)=g(x) is 0. Therefore, option B is the correct answer.
What is the function?Functions are the fundamental part of the calculus in mathematics. The functions are the special types of relations. A function in math is visualized as a rule, which gives a unique output for every input x.
Given that, f(x)=g(x)
f(x)=-(x+2)(x-2) and g(x)=2|x+2|
Now, -(x+2)(x-2)=2(x+2)
-(x-2)=2
x-2=-2
x=-2+2
x=0
Therefore, option B is the correct answer.
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According to reports, 30% of American adults have chronic insomnia. If 3 American adults are chosen at random, what is the probability that all 3 have chronic insomnia?
The probability that the three people have chronic insomnia is the likelihood of people having chronic insomnia
The probability that the three people have chronic insomnia is 0.027
How to determine the probabilityThe proportion of people with chronic insomnia is given as:
p = 30%
Given that three people are selected, the probability that the three people have chronic insomnia is calculated as:
[tex]P(3) = p^3[/tex]
So, we have:
[tex]P(3) = (30\%)^3[/tex]
Evaluate the exponent
[tex]P(3) = 0.027[/tex]
Hence, the probability that the three people have chronic insomnia is 0.027
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Evaluate the expression. Give your answer in simplest form. 6/7 - 3/5=
Answer:
9/35
Step-by-step explanation:
To answer this question, you will need to find a common denominator.
The lowest common denominator between 7 and 5 is 35.
6/7 is equal to 30/35 and 3/5 is equal to 21/35
Use these numbers instead.
30/35 - 21/35 = 9/35
This number cannot be reduced any further, so it is the answer.
Answer:
9/35
Step-by-step explanation:
I need to figure out estimation with decimals
Answer:
10 CDs
Step-by-step explanation:
First, let's round the cost of each CD to the nearest whole number.
6.98 ≈ 7.00The closest multiple of 7 to 75 is 77.
Then, it would make sense that Sean can buy 11 CDs. However, he has a little bit under 77 dollars, so he can only buy 10 CDs.(If we were to do the actual calculations, 75/6.98 is 10.744.. and so on, so we can confirm he can buy no more than 10 CDs)
the sum of two numnbers is 49 and the difference is 13, what are the numbers
Answer:
31 & 18
Step-by-step explanation:
function:
x+y=49
x-y=13
x=31, y=18
an iron wire bent in the shape of parabola has rectum of length 60cm what is it's focal length?
Answer:
70cm
Step-by-step explanation:
PLEASE MARK ME AS BRAINLIEST AND HAVE A NICE DAY
what’s the answer to this question y’all?
Find the slope and the y-intercept of the line.
5x-3y=-9
can someone help me on my math
(06.04 MC)
You are training your dog to catch a frisbee. You are playing in a large field, and you are standing next to your dog when you throw the frisbee. If the path of the frisbee is y= –x2 + 8x + 6 and the path of the dog is modeled by y = 2x + 6, will the dog catch the frisbee? If so, what are the coordinates of the point or points where they meet?
Yes, they intersect at the coordinates (0, 6) and (6, 18)
Yes, they intersect at the coordinates (1, 13) and (2, 10)
Yes, they intersect at the coordinates (2, 18) and (3, 12)
No, the paths do not cross
The equations y = –x² + 8x + 6 and y = 2x + 6. Plotting the equations, they meet at (0, 6) and (6, 18)
What is an equation?An equation is an expression that shows the relationship between two or more numbers and variables.
Given the equations y = –x² + 8x + 6 and y = 2x + 6. Plotting the equations, they meet at (0, 6) and (6, 18)
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Answer:
They do not meet
Step-by-step explanation:
No, the paths do not cross (D)
Why dose math have to be so hard
Answer:
Imagine how hard it was to create it all.
Step-by-step explanation:
Answer:
because i dont even know need help im a tutor ill help u fr
Step-by-step explanation:
I am 24 years old. My age is 2 less than twice my sister's age.
sister's age = x
24 = 2x - 2
26 = 2x
x = 13
y = 5 and x = -1
Is it parallel,perpendicular or neither
Answer: Perpendicular
y = 5 is a horizontal line through 5 on the y axis
x = -1 is a vertical line through -1 on the x axis
Given: SAO=30, SO ⊥ AO, SO=10. Find: V
look at link correct answer get brainliest
Answer:
1000π
Step-by-step explanation:
π(r^2*h/3)=volume of cone
π(10√3^2*10/3)
10√3 is from using 30 60 90 Triangle to find AO
What number is
35% of 400?
I have the answer, just need the process
Answer:
Step-by-step explanation:
400 * 35% = 400 * 35/100 = 4 * 35 = 140
Brainliest if correct
Answer:
$0.50/cm
Step-by-step explanation:
Assuming that the value of x is 4, and the value of y is 6, what is the value of the following expression? (x - y)**2 > y TypeError True Undefined False
Considering the given expression and the numerical values, it is found that it's value is False.
What is the expression given?The expression used in this question is given as follows:
[tex](x - y) \times 2 > y[/tex]
The values considered are x = 4 and y = 6, hence:
[tex](6 - 4) \times 2 > 6[/tex]
[tex]4 > 6[/tex]
Hence, it is a False expression, as 4 is less than 6.
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PLEASE HELP! I can’t figure this out.
Find M.
[tex] \gray \bigstar \boxed{\angle 1 + \angle 2 + \angle 3= 180°}[/tex]
Reason :-
Sum of angles of triangle is equal to 180°
Formula :-
sum = (no. of angles - 2) × 180°Sum = (3 - 2) × 180°Sum = 1 × 180°Sum = 180°[tex] \\ \\ [/tex]
So:-
[tex] \\ [/tex]
[tex] \sf \dashrightarrow\angle 1 + \angle 2 + \angle 3= 180 \degree[/tex]
[tex] \\ \\ [/tex]
[tex] \sf \dashrightarrow m + 3m +(m - 35) = 180 \degree[/tex]
[tex] \\ \\ [/tex]
[tex] \sf \dashrightarrow m + 3m +m - 35= 180 \degree[/tex]
[tex] \\ \\ [/tex]
[tex] \sf \dashrightarrow 4m +m - 35= 180 \degree[/tex]
[tex] \\ \\ [/tex]
[tex] \sf \dashrightarrow 5m - 35= 180 \degree[/tex]
[tex] \\ \\ [/tex]
[tex] \sf \dashrightarrow 5m= 180 \degree + 35 \degree[/tex]
[tex] \\ \\ [/tex]
[tex] \sf \dashrightarrow 5m=215\degree[/tex]
[tex] \\ \\ [/tex]
[tex] \sf \dashrightarrow m= \dfrac{215}{5} \degree[/tex]
[tex] \\ \\ [/tex]
[tex] \sf \dashrightarrow m= \cancel \dfrac{215}{5} \degree[/tex]
[tex] \\ \\ [/tex]
[tex] \bf \dashrightarrow m=43 \degree[/tex]
[tex] \\ \\ [/tex]
Verification :-
[tex] \\ [/tex]
[tex] \sf \dashrightarrow m + 3m +(m - 35) = 180 \degree[/tex]
put value of m
[tex] \\ \\ [/tex]
[tex] \sf \dashrightarrow 43 + 3(43) +(43 - 35) = 180 \degree[/tex]
[tex] \\ \\ [/tex]
[tex] \sf \dashrightarrow 43 + 3(43) +(8) = 180 \degree[/tex]
[tex] \\ \\ [/tex]
[tex] \sf \dashrightarrow 43 + 3(43) +8= 180 \degree[/tex]
[tex] \\ \\ [/tex]
[tex] \sf \dashrightarrow 43 +129+8= 180 \degree[/tex]
[tex] \\ \\ [/tex]
[tex] \sf \dashrightarrow 43 +137= 180 \degree[/tex]
[tex] \\ \\ [/tex]
[tex] \bf \dashrightarrow 180 \degree= 180 \degree[/tex]
LHS = RHS
Hence verified!
Sam has $50 in an account that earns 5% interest compounded annually.
To the nearest cent, how much will he have in 3 years?
Answer:
$57.50
Step-by-step explanation:
50×5/100×3
=7.5
50+7.5
=57.50
Solve equation by using the quadratic formula.
9x^2+ 7x = 0
Answer:
x = 7/9 or 0
Step-by-step explanation:
a is 9, b is 7 and c is 0
Answer:
x = 0, -7/9
Step-by-step explanation:
Blake is working his way through school. He works two part-time jobs for a total of 22 hours a week. Job A pays $5.70 per hour, and Job B pays $7.30 per hour. How many hours did he work at each job the week that he made $141.40.
Answer:
Job A= 12hrs and Job B= 10hrs
Step-by-step explanation:
first u need to make 2 equations, with 2 variables and the pay per hour for both jobs and let the first equal to the total pay at the end of the week
5.7x + 7.3y = 141.4
then the 2nd equation, let it equal to the total hours worked:
x + y = 22
you then make one of the variables the subject of the formula:
x= 22 - y
and substitute that formula into the first equation you would've made:
5.7(22-y) + 7.3y = 141.4 in this instance you then solve for y:
where y= 10hrs
given that y=10 you can then substitute it into either of the 2 equations:
x+y=22
x= 22-y
x= 22 - 10
x= 12hrs
therefore stating that Blake worked 12 hrs at job A and 10 hrs at job B
What number is missing to make the following statement true? 8 11/15 = 7 ?/15 Enter your answer in the box.
Answer:
26
Step-by-step explanation:
8 11/15 = 7 26/15
7/(2sqrt(3) + 2sqrt(5)) + 5/(3sqrt(2) + 8sqrt(5))
Answer:[tex]-\frac{1057√3-1137√5+30√2}{604}[/tex]
â = √
Step-by-step explanation:
I quite don’t get this question and I have 4 minutes remaining
The length of one of the sides of the larger pentagon is 24 cm. The length of one of the sides of the smaller pentagon is 8 cm.
[tex]24[/tex]÷[tex]8=3[/tex]
So, if the larger pentagon is 3x the size of the smaller pentagon, we can find the area of the smaller pentagon by dividing the area of the larger pentagon by 3.
[tex]135[/tex]÷[tex]3=45[/tex]
The area of the smaller pentagon is 45in²
Hope this helps! Pwease mark me brainliest! Have a great day!
−xXheyoXx
Explaining the SAS Similarity Theorem Criteria
What information is necessary to prove two triangles are
similar by the SAS similarity theorem?
Answer:
side, angle and side
Step-by-step explanation:
hope this helps!
solve ~
[tex]x {}^{2} - 5x + 6 = 0[/tex]
thankyou ~
[tex] \qquad \qquad \huge \rm \huge \overbrace{\underbrace{ \color{red}{ Answєr}}}[/tex]
hєrє wє gσ ~
[tex] \qquad⧉ \sf \: \: {x}^{2} - 5x + 6 = 0[/tex]
[tex] \qquad⧉ \sf \: \: {x}^{2} - 3x - 2x+ 6 = 0[/tex]
[tex] \qquad⧉ \sf \: \: {x}^{} (x - 3) - 2(x - 3) = 0[/tex]
[tex] \qquad⧉ \sf \: \: {}^{} (x - 3) (x - 2) = 0[/tex]
nσw, wє gσt twσ cαѕєѕ :
#1. whєn (х - 3) = 0
[tex]\qquad \sf \dashrightarrow \: x = 3[/tex]
αnd
#2. whєn (х - 2) = 0[tex]\qquad \sf \dashrightarrow \: x = 2[/tex]
I am 24 years old. My age is 2 less than twice my sister's age.
MAKE THE SOLUTION UNDERSTANDABLE NEED IT RN.
Answer: Therefore, the age of my sister is 13 years.
Step-by-step explanation:
Let the age of my sister is x yeas.
Then according to question..
24 = 2x -2
Or, 2x=26
or, x= 26/2
x= 13
Answer:
13
Step-by-step explanation:
you are two less so therefore you add two to 24 making it 26. then you divide by 2 giving you 13
The exterior angle of a regular polygon is an 1/8 of the interioris angle How many sides does the regular polygon have ?
Answer:
18 sidesStep-by-step explanation:
We know the interior and exterior angles are supplementary.
Let the exterior angle be x, then the interior angle is 8x.
We have:
x + 8x = 1809x = 180x = 20We now have the exterior angle measure and we know the sum of all of them is 360°.
Find the number of sides:
n = 360/20 = 18A carpenter wants to cut an 84 inches long board into two -pieces such that one piece is twice as long as the other piece. Set an equation and find the length of each piece.
Answer:
The shorter piece is 28 inches
The long piece is 56 inches
Step-by-step explanation:
First, we need to write an equation:
-> Let x be the shorter piece after they are cut.
84 inches = x + 2x
84 inches = 3x
28 inches = x
x = 28 inches
Now we will find the length of each piece,
-> The shorter piece is 28 inches
[] x = 28 inches
-> The long piece is 56 inches
[] 2x = 2(28) = 56 inches
Checking work:
56 + 28 = 84
-> This solution should work
This data set represents the lengths in inches of pieces of ribbon used in a project. What is the mean of this data set? {1/4, 1 1/3, 2/3, 1/4, 1/2}
Please answer if you know it because I only have until 8pm
Giving brainliest to whoever is right and each answer gives 30 points :)
Answer:
3/5
Step-by-step explanation:
I did this on the test and I got this specific answer correct :)
The required mean of the data set is 3/5, or approximately 0.6 inches.
What is mean?The mean of the values is the ratio of the total sum of values to the number of values.
Here,
To find the mean of the data set, we need to add up all the values and divide by the total number of values.
1/4 + 1 1/3 + 2/3 + 1/4 + 1/2 = 1/4 + 4/3 + 2/3 + 1/4 + 1/2 (we convert all fractions to have a common denominator)
= 2/3 + 4/3 + 1
We need to convert these mixed numbers to improper fractions:
= 3
Now we divide by the total number of values:
= 3 ÷ 5
= 3/5
Therefore, the mean of the data set is 3/5, or approximately 0.6 inches.
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