Answer:
220_450×9 =-221Step-by-step explanation:
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(1). If f(x)=|x−5|+3, find f(2).
11
6
4
0
(2). If f(x)=8−3|x+2|, find f(−6).
−16
−4
4
20
(3). What is the turning point of the graph of f(x)=|x−2|+3?
(2, −3)
(2, 3)
(−3, 2)
(3, 2)
(1).
f(x) = |x − 5| + 3
f(2) = |2 − 5| + 3 = |−3| + 3 = 3 + 3 = 6
(2).
f(x) = 8 − 3|x + 2|
f(−6) = 8 − 3|−6 + 2| = 8 − 3|−4| = 8 − 3·4 = 8 − 12 = − 4
(3).
For f(x) = |x − h| + k the turning point is (h, k), so:
f(x) = |x − 2| + 3 ⇒ the turning point is: (2, 3)
The value of f (2) will be;
⇒ f(2) = 6
The value of f (- 6) will be;
⇒ f(-6) = 4
The turning point of the graph will be;
⇒ (2, 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.
Given that;
1) The function is,
⇒ f(x) = |x−5| + 3
2) The function is,
⇒ f(x) = 8 - 3 |x+ 2|
3) The function is,
⇒ f(x) = |x−2| + 3
Now,
1) The function is,
⇒ f(x) = |x−5| + 3
Put x = 2;
⇒ f (2) = |2 - 5| + 3
⇒ f (2) = 3 + 3
⇒ f(2) = 6
2) The function is,
⇒ f(x) = 8 - 3 |x+ 2|
Put x = - 6;
⇒ f (- 6) = 8 - 3 |- 6 + 2|
⇒ f (-6) = 8 - 3 × 4
⇒ f(-6) = 8 - 12
⇒ f (- 6) = - 4
3) The function is,
⇒ f(x) = |x−2| + 3
We know that;
Turning point of the function f (x) = |x - h| + k are (h, k)
So, By comparing we get;
The turning point of the graph of f(x) = |x−2| + 3 are (2, 3).
Thus, The value of f (2) will be;
⇒ f(2) = 6
The value of f (- 6) will be;
⇒ f(-6) = 4
The turning point of the graph will be;
⇒ (2, 3)
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Ani teaches 25% of the 4 year-olds at her school. There are 60 4-year- olds. Ani also teaches 20 3-year- olds. How many students does Ani teach altogether ?
Answer:
[tex]35[/tex] students
Step-by-step explanation:
Given information:
- There are 60 4 year-olds, Ani teaches 25% of them.
- Ani also teaches 20 3 year-olds.
Total students:
[tex]25\%\times60 = 15[/tex] 4 year-olds
[tex]15+20 = 35[/tex]
∴ Ani teaches [tex]35[/tex] students in total
Hope this helps :)
To measure the length of the pond, Jacob marked off congruent triangles as shown in the diagram.
How does he know the lengths of AB and XY are equal?
A. AAS and then corresponding parts of congruent triangles are congruent
B. SSS and then corresponding parts of congruent triangles are congruent
C. SAS and then corresponding parts of congruent triangles are congruent
D. ASA and then corresponding parts of congruent triangles are congruent
Answer:
B
Step-by-step explanation:
Solve the system of equations 4x + y = 8 and 5x + 2y = 13 using any method.
Answer:
x=1, y=4 or (1,4)
Step-by-step explanation:
Step-by-step explanation:
4x + y = 8
-4x -4x
y = -4x+8
5x + 2y = 13
-5x -5x
2y/2 = -5x/2 + 13/2
y = -5/2x+13/2
frank has an eraser. it has a mass of 4g and a volume of 2cm3 what is the density?
Answer:
2 g/cm^3
Step-by-step explanation:
What is the approximate value of Log Subscript 6 Baseline 25?
Answer:
D.1.796
Step-by-step explanation:
Edge 2021
The required value of Log Subscript 6 Baseline 25 is 1.796.
Value of Log Subscript 6 Baseline 25 is to be determine.
What is simplification?In mathematics, using mathematical operators execute the mathematical expression.
Here,
[tex]=log_625\\= log_e25/log_e6\\[/tex]
= 1.796
Thus, the required value of Log Subscript 6 Baseline 25 is 1.796.
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[Image: Vertical number line ranging from negative 5 to 5.]
On this number line, zero represents sea level. Plot the following points based on the description provided.
• -3 1/2
[Image: Vertical number line ranging from negative 5 to 5.]
On this number line, zero represents sea level. Plot the following points based on the description provided.
• opposite of –5
Answer:
Positive 5.
Step-by-step explanation:
Opposite of negative 5 is positive 5.
The point will be on the positive side, which is above sea level. So it will be on 5 above the zero.
Answer:positive 5
Step-by-step explanation:
Let the area of a rectangle in square metres is
[tex] {x}^{2} + 13x + 42[/tex]
How much longer is the length than the width of the rectangle?
A. 7m
B. 8m
C. 1m
D. 6m
Answer:
C)1m
Step-by-step explanation:
So the length and width is
x²-13x+42=0
(x-7)(x-6)=0
x-7=0
x-6=0
x=7 (length)
x=6 (width)
So the difference between length and width is
=7-6
=1m
Answer:
[tex]C.1\ m[/tex]
Step-by-step explanation:
[tex]We\ are\ given\ that,\\Area\ of\ the\ rectangle=x^2+13x+42\\Hence\ lets\ factorize\ this\ area\ completely:\\x^2+13x+42\\=x^2+6x+7x+42\\=x(x+6)+7(x+6)\\=(x+7)(x+6)\\Hence,\\Area\ of\ the\ rectangle=(x+7)(x+6)\\As\ we\ know\ that,\\Area\ of\ a\ rectangle=Length*Width\\Area\ of\ a\ rectangle=lw\\Here,\\lw=(x+7)(x+6)\\Hence,\\l=(x+7),w=(x+6)\ or\ l=(x+6),w=(x+7)\\But\ generally\ the\ length\ of\ a\ rectangle\ is\ greater\ than\ it's\ width.\\Hence\ the\ first\ solution\ is\ suitable\ here.\\[/tex]
[tex]Hence,\\l=(x+7),w=(x+6)\\Hence\ in\ order\ to\ find\ the\ difference\ between\ the\ length\ and\ width\\ we\ must\ perform\ the\ operation :l-w\\Hence,\\(x+7)-(x+6)\\=x+7-x-6\\=1\ m[/tex]
Work out 97.974436÷14and give your answer to 2 decimal places.
Answer:
7
Step-by-step explanation:
97.974436/ 14= 6.998174
round to 2 decimal places by looking at the third digit after decimal and is 8 that is greater than 5 so will round up the second digit after the decimal
But, that will make 9 a 10 so we have to make the number 7
A student found out that 8% ofthe students in his school are left-handed.If there are 114 lefties, how many students are in his school?
Answer: 1,425 students
Step-by-step explanation: This is easy to solve using proportions/
114/8 = ?/100
First, you cross multiply (or whatever this is called sry) 100x114=11400
Then divide 11400÷8=1,425
Billy wants to buy a $1250 drum set and the
music store has a deal where you can take it
home today for a 20% down payment and
then 3 years of monthly payments. How
much money will Billy need in order to make
the down payment?
..
Answer:
LOL i don't even know
Step-by-step explanation:
A car is traveling at a steady speed. It travels 2 1/2 miles in 3 1/3 minutes. How far will it travel in 45 minutes ?
Answer: The car will travel 30 2/3 miles in 45 minutes.
Answer:
Please Mark as Brainliest!!
Step-by-step explanation:
The car will travel 30 2/3 miles in 45 minutes.
The car will travel 40 miles in 1 hour
A company that makes hair-care products had 8,000 people try a new shampoo. Of the 8,000 people, 56 had a mild allergic reaction. What percent of the people had a mild reaction?
Answer: 0.007%
you divide 56% by 8,000 and you get 0.00007
then you multiply it by 100 and you get 0.007
so its 0.007%
You can burn about 450 calories if you run 5 miles.
How many miles will you need to run to burn 630
calories?
Justify your reasoning.
Answer:
6 miles
Step-by-step explanation: 450 divided by 5 is 90 and if you add 450 plus 90 thats 640 calories which is more then 630!
What expression is equivalent to (2a - 7) + 5(3 - a)
Answer:
Step-by-step explanation:
2a-7+15-5a
2a-5a-7+15
-3a+8
The expression which is equivalent to (2a - 7) + 5(3 - a) would be; -3a+8
What is an expression?Expression in maths is defined as the collection of numbers variables and functions by using signs like addition, subtraction, multiplication, and division.
We have been given an expression as;
(2a - 7) + 5(3 - a)
Therefore, solving it further;
2a-7+15-5a
Combine the like terms;
2a-5a-7+15
Then we get;
-3a+8
Hence, the expression which is equivalent to (2a - 7) + 5(3 - a) would be; -3a+8
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Use the scatter plot of car resale values to answer the following question about making a prediction of the resale value of a
car.
Car Resale Values
100
80
60
40
20
10
Age of Car
Using the regression line, or line of best fit, predict the resale value of an 8-year-old car with an original cost of $15,000.
The 8-year-old car could be worth approximately $2000.
b The 8-year-old car could be worth approximately $5000.
The 8-year-old car could be worth approximately $3000.
d. The 8-year-old car could be worth approximately $4500.
Answer:
The 8-year-old car could be worth approximately $4500.
Step-by-step explanation:
answer on edge 2020
Answer:
C.the 8 year old car can be worth about 3000 just look at the graph
Step-by-step explanation:
#happycheating
plz help me, thank you
A bacteria culture starts with 40 bacteria and the number doubles every 20 mins.
write an equation of an exponential function that models the described situation.
plz show me the working.
Answer:
[tex]P=40(1.03526)^{t}[/tex]
Step-by-step explanation:
Exponential Growth
The natural growth of some magnitudes can be modeled by the equation:
[tex]P=P_o(1+r)^{t}[/tex]
Where P is the actual amount of the magnitude, Po is its initial amount, r is the growth rate and t is the time.
The initial number of bacteria is Po=40 and it doubles (P=2Po) at t=20 min. With that point we can find the value of r:
[tex]2P_o=P_o(1+r)^{20}[/tex]
Simplifying:
[tex](1+r)^{20}=2[/tex]
Solving for 1+r:
[tex]1+r=\sqrt[20]{2}[/tex]
[tex]1+r=1.03526[/tex]
The exponential function that models the situation is:
[tex]\mathbf{P=40(1.03526)^{t}}[/tex]
Factor the binomial: x^2 - 8x
Answer:
x2+8x+15=(x+5)(x+3)
Step-by-step explanation:
Trinomials have the form: ax2+bx+c. When factoring trinomials where a=1
Answer:
x(x - 8)
Step-by-step explanation:
First, factor out an x from both terms:
x² - 8x
x(x - 8)
So, the factored form of the binomial is x(x - 8)
Find y.
A. 6
B.2
C.7
D.4
Answer: HOPE THIS HELPS GOD BLESS PLEASE TOUCH THANKS
C.8
Step-by-step explanation:A.) what is the domain?
B.) what is the range?
C.) is this relation a function?
Answer:
The Domain is the set of all points over which a function is defined.
The range is the set of values the function takes on as output.
Bula went to Target and bought a new jacket. The price tag said $85 but the sign on the rack said
20% off the price tag. How much did Bula pay for the jacket?
$17
$65
$70
$68
Answer:
she paid 68 so it is d i think
Need help with this!!!
Answer:
I'm gonna say 4 because 6 divided by 3 is 2
Simplify the expression.
StartFraction negative 44.288 minus 31.6 over negative 3.1 (6 minus 1.2) EndFraction
Answer:
5.1
Step-by-step explanation:
13. Write an equation in slope-intercept form for the line that passes through the point (-3,5) and is parallel to the equation y = -1/2x + 4
y=5/3x+1.33 in standard form
Answer:
500 x − 300 y = − 399
Step-by-step explanation:
This should be the answer
Answer:
−300Y + 500x = −399
Step-by-step explanation:
Need hellllp ASAP!!!!!!!
Answer:
d
Step-by-step explanation:
11×17=187
i rounded both of the numbers to whole numbers and then multiplied them. i hope that's what they meant :)
To be labeled as a jumbo egg, the egg is supposed to weigh 2.5 oz. Priya buys a carton of jumbo eggs and measures one of the eggs as 2.4 oz. What is the percent error?
Answer:
The percent error is 4%
Step-by-step explanation:
Expected value of egg = 2.5 oz
Observed value of egg = 2.4 oz
We need to find the percent error.
The formula used to calculate percent error is: [tex]Percent\:error=|\frac{Observed\:Value-Expected\:Value}{Expected\:Value}| .100\%[/tex]
We use || (absolute) sign because if the answer is negative, we considered it as positive i,e |-a| = a
Putting values in formula and finding percent error
[tex]Percent\:error=|\frac{Observed\:Value-Expected\:Value}{Expected\:Value}| .100\%\\Percent\:error=|\frac{2.4-2.5}{2.5}| .100\%\\Percent\:error=|\frac{-0.1}{2.5}| .100\%\\Percent\:error=|-0.04|.100\%\\We\:know\: |-a|=a\\Percent\:error=0.04.100\%\\Percent\:error=4\%[/tex]
So, the percent error is 4%
to convert the ratio of 3:5 to 5:6, which number should be added on both?
The number that should be added on both is 7.
Write the equation of the graphs which have m=2, c = 1
Answer:
y = 2x + 1
Step-by-step explanation:
formula for equation of graph:
[tex]y = mx + c[/tex]
substitute m = 2 and c = 1 into the equation
[tex]y = 2x + 1[/tex]
Step-by-step explanation:
please see it my step work solution
If x = -5, which inequality is true?
A. -4 - 3x > 7
B. -2 - 6x 14
D. 7 - x < 6
Answer:
A
Step-by-step explanation:
Its A because -4 - 3x > 7 because -1 - 7 is -6 but u have to - 1 because of the negative signs