Step-by-step explanation:
a. -3
e. -3x^2 -4x +3
b 27+12-3= 36
f. 3(x+2)^2 + 4(x+2) -3
c. 27-12-3= 12
g. 3(3x)^2 + 4(3x) -3
d. 3x^2 -4x -3
h. 3(x+h)^2 + 4(x+h) -3
The all values of the function f(x)= 3x² + 4x - 3 are f(0) = -3 ,-f(x) = -3x² -4x +3, f(3) = 27+12-3= 36 ,f(x + 2)= 3(x+2)² + 4(x+2) -3 ,f(-3)= 27-12-3= 12,f(3x) = 3(3x)² + 4(3x) -3,f(-x) = 3x² -4x -3,f(x + h) = 3(x+h)² + 4(x+h) -3.
What is a function?A certain kind of relationship called a function binds inputs to essentially one output.
A function can be regarded as a computer, which is helpful.
The machine will only accept specified inputs, described as the function's domain, and will potentially produce one output for each input.
In other words, the function is a relationship between variables, and the nature of the relationship defines the function for example y = sinx and y = x +6 like that.
a) f(0) = -3
(e) -f(x) = -3x² -4x +3
(b) f(3) = 27+12-3= 36
(f) f(x + 2)= 3(x+2)² + 4(x+2) -3
(c) f(-3)= 27-12-3= 12
(g) f(3x) = 3(3x)² + 4(3x) -3
(d) f(-x) = 3x² -4x -3
(h) f(x + h) = 3(x+h)² + 4(x+h) -3
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If y varies inversely with x, and y = 48 when x = 6, find y when x = 18.
Answer:
y = 16
Step-by-step explanation:
Given that,
y varies inversely with x i.e.
[tex]y=\dfrac{k}{x}[/tex]
Where
k is a constant of proportionality
Put y = 48 and x = 6 in the above equation to find k.
So,
[tex]k=48\times 6\\\\k=288[/tex]
Now put k = 288 and x = 18 in the above equation to find y.
[tex]y=\dfrac{288}{18}\\\\y=16[/tex]
So, the value of y is equal to 16 when x = 18.
Answer:
16
Step-by-step explanation:
3x - 4 = -2x +3 what is x
Answer:
3x - 4 = -2x + 3
3x + 2x = 3 + 4
5x = 7
x = 5/7
Step-by-step explanation:
1. move the same term to one side
2. the rest are simply solving equation
The age at which small breed dogs are fully housebroken follows a Normal distribution with mean ms = 6 months and standard deviation ss = 2.5 months. The age at which large breed dogs are fully housebroken follows a Normal distribution with mean mL = 4 months and standard deviation sL = 1.5 months. Let xS – xL represent the sampling distribution. Be sure show all work and conditions. Let the sample size for both sets be 25 dogs. Should we be surprised if the sample mean housebroken age for the small breed dogs is at least 2.5 months more than the sample mean housebroken age for the large breed dogs? Explain your answer.
Answer:
This measure is just 0.17 standard deviations from the mean, so we should not be surprised.
Step-by-step explanation:
Normal probability distribution
When the distribution is normal, we use the z-score formula.
In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the zscore of a measure X is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.
If the z-score is lower than -2, or higher than 2.5, the score of X is considered unusual.
Subtraction of normal variables:
When we subtract normal variables, the mean is the subtraction of the means, while the standard deviation is the square root of the sum of the variances.
Let xS – xL represent the sampling distribution.
Mean s 6, means L 4. So
[tex]\mu = 6 - 4 = 2[/tex]
Standard deviation s is 2.5, for L is 1.5. So
[tex]\sigma = \sqrt{2.5^2+1.5^2} = 2.915[/tex]
Should we be surprised if the sample mean housebroken age for the small breed dogs is at least 2.5 months more than the sample mean housebroken age for the large breed dogs? Explain your answer.
We have to find the z-score for X = 2.5. So
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{2.5 - 2}{2.915}[/tex]
[tex]Z = 0.17[/tex]
This measure is just 0.17 standard deviations from the mean, so we should not be surprised.
) Ms. Rathman has 5 nickels, 3 dimes, and 2 quarter. In how many ways can she make change
for 50¢? Make a systematic list to answer this question.
i need help plzzz an could you show your work thanks love
Answer:
how to make change for 50 cent.
Step-by-step explanation:
1. 3 dimes and 4 nickels
3 x 10 = 30. 4 x 5 = 20.
30 + 20 = 50
2. 2 quarters
25 + 25 = 50
3. 1 quarter and 2 dimes and 1 nickel
25 + 20 + 5 = 50
4. 5 nickels and 1 quarter
5 + 5 + 5 + 5 +5 + 25
9/4 divided by 3/4 =
What is the equivalent distance of 60,000 centimeters in kilometers?
1 m = 100 cm
1 km = 1000 m
Enter your answer in the box.
60,000 cm =
km
Answer: it would be 0.6
Step-by-step explanation: why?, because, you must divided 60,000 by 100,000. To get the kilometer 0.6 I hope this helps :), I also took the test!.
Answer:
0.6
Step-by-step explanation:
the answer above is correct
I will make brainliest for whoever helps
Answer:
s [tex]\leq[/tex] 14
Step-by-step explanation:
divide both sides by 7
Answer: For the first part, the answers are 4, 9, 11, 13, and 14. I have no idea how to do the 2nd part though. Sorry.
Step-by-step explanation: Divide 98 by 7. This gives you 14. However, s can be equal to or less than 14, giving you multiple answers which are 4, 9, 11, 13, and 14. Hopefully this helps.
: mario ate 4 hot dogs. 1 of them had mustard on it and the rest were plain. what fraction of Marios hot dogs were plain? write an equivalent fraction for this amount..
Jose has 7 mangoes. He wants give then to his 10 friends. How much can each friend get? *
Answer:
it would be 7 divided by 10, so .7 i think?
Step-by-step explanation:
Answer:
7/10
Step-by-step explanation:
7/10 bc if there are 7 mangos and 10 friends then 10 (the number of friends ) is the amout in all and 7 (the amout of mangos ) is the fraction of the whole that willl be passed out
When x=1, then y= ___
Please I need the answer soon.
Answer:
When x = 1, y = -2
Step-by-step explanation:
The equation of this line is y = x - 3, so when x = 1, y would equal 1 - 3 or -2.
Answer:
x=1, then y= -2
Micah is twice as old as Richard. Richard is three times as old as Ken. Ken is six years old. How old is Micah?
Answer:
36
Step-by-step explanation:
Ken = 6 yo
6 *3 = 18
Richard = 18 yo
8 * 2 = 36
Micah = 36
The age of Micah is 36 years.
What is arithmetic operation?A subfield of mathematics known as arithmetic operations deals with the study and application of numbers to all other subfields of mathematics. Operations like addition, subtraction, multiplication, and division make up the bulk of it.
These fundamental mathematical operations (+, -, ×, and ÷) that we use every day.
Given age of Ken = 6 years
let age of Micah be m and age of Richard be r
acc. to condition
Micah is twice as old as Richard
m = 2r
Richard is three times as old as Ken
r = 3 ken
r = 3 x 6
r = 18
Richard age is 18 years.
m =2r
m = 2 x 18
m = 36 years
Hence age of Micah is 36 years.
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Solve for x.
(8x-3)
(16x - 33)
Answer:
i might not be correct but 33?
Step-by-step explanation:
Answer:
9
Step-by-step explanation:
trust me i just did it. it was very hard but i got it.
what is the range and domain of the function {(2,5),(8,3),(1,5),(7,9)}
Answer:
In general for a point we have (in, out)
The domain is the set of all the 'in's and the range is the set of all the 'out's
Domain: {2, 8, 1, 7} or {1, 2, 7, 8} in order
Range: {5, 3, 9} or {3, 5, 9}
Sets do not contain duplicates so 5 appears only once.
Plz help... picture will be provided.
Parallel lines r and s are cut by two transversal, parallel lines t and u
How many angles are alternate interior angles with angle 9.
Answer:
2
Step-by-step explanation:
Its quite obvious
Let f(x) = 4x - 1, h(x) = - X-3.
Find (f o h)(-5).
Answer:
(f o h)(-5)=-33
Step-by-step explanation:
Let f(x) = 4x - 1, h(x) = - X-3.
(f o h)=4(-x-3)-1
(f o h)=-4x-12-1
(f o h)=-4x-13
(f o h)(-5)=-4(-(-5))-13
(f o h)(-5)=-20-13
(f o h)(-5)=-33
Which expression is the completely factored form of the expression x2 - 3x - 28
(x + 14)(x - 2)
(x + 14)(x + 2)
(x - 7)(x + 4)
(x + 7)(x-4)
Answer:
(x-7)(x+4)
Step-by-step explanation:
PLATO
What is the answer to 5m-2=-12
Answer:
m = -2
Step-by-step explanation:
5m - 2 = -12
Isolate m.
5m = -12 + 2
5m = -10
m = -10/5
m = -2
NEED HELP!
How to find
x =76° is the answer
Step-by-step explanation:
because being alternate angle.
Answer:
Measure the line of x only from scale and how much it came its the answer
Step-by-step explanation:
X+76=180
x=180-76
Therefore,x=104.
Hope it will help you be happy!
In Ellen's math class, there are 2 boys for every 3 girls. If there are 21 girls in the class, how many boys are in the class?
Answer: 14 boys
Step-by-step explanation:
ratio 2:3
7 divided by 21 = 3, so 7 times 2 equals 14
Answer:
14
Step-by-step explanation:
Divide 21 by 3, you get 7. Multiply 7 by 2, you get 14.
Two angles of a triangle have measures of 55° and 65°.
Which could not be a measure of an exterior angle of the
triangle?
A. 120
B.125
C.130
D.115
The sum of an interior angle and an exterior angle is 180°. Then the 130° is not an exterior angle of the triangle.
What is the triangle?Triangle is a polygon that has three sides and three angles. The sum of the angle of the triangle is 180 degrees.
The two angles of a triangle have measures of 55° and 65°. Then the third angle (x) will be
w + 55° + 65° = 180°
w = 180° - 120°
w = 60°
Let the exterior angle be x, y, and z.
The sum of an interior angle and an exterior angle is 180°. Then we have
[tex]\rm x = 180^o - 55^o = 125^o \\\\y = 180^o - 65^o = 115^o \\\\z = 180^o - 60^o = 120^o[/tex]
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Pls answer The Following Question
Answer:
15.
a)
i)43/9= 4 7/9
ii)17/4= 4 1/4
b)
i)3 9/11= 42/11 - 11 times 3=33, 33+9=42
ii)5 6/12= 66/12 - 12 times 6=60, 60+6=66
A ball is kicked straight up into the air from a height of 48ft with an initial velocity of 88 ft/s. After how many seconds does the ball hit the ground? PLZzzzzz HELP ME
It would take 0.5 seconds for the ball to hit the ground.
Newton lawTo solve this problem, we are to use one of newton equations. Let us use:
s = ut + (1/2)gt²
Where u is the initial velocity = 88 ft/s, s is the height = 48 feet and g is the acceleration due to gravity = 32 ft/s²
Hence:
48 = 88t + 0.5*32*t²
16t² + 88t - 48 = 0
t = -6 or 0.5
Since the time cannot be negative, hence t = 0.5 seconds
It would take 0.5 seconds for the ball to hit the ground.
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What is the square root of 7?
Answer:
2.64575
Step-by-step explanation:
Plz help me! I’m not sure how to do these!
Answer:
Step-by-step explanation:
Wait where is the picture
12. How much more energy is released by an earthquake with a magnitude of 8.0
on the moment magnitude scale than one with a 6.0 magnitude?
A 32 times more
B 64 times more
c 2 times more
D. 20 times more
Answer:
Lets conside the order of magnitudeWe have a different of 8.0- 6.0=2.0 An 8 magnitude has 63.09 ×10^15 joules A 6 magnitude has 63.09×10^12 J Which is 1000 times more energy Your answer choices are incorrect I do quizzes and exams if your interestedApproximate which two integers 30 is
between.
Answer:
29 and 31
Step-by-step explanation:
What integer is -1 away from 30? 29. What integer is +1 away from 30? 31. 29 and 31
Analyze the diagram below and complete the instructions to follow.
Find a, b and c
Answer/Step-by-step explanation:
✔️Using trigonometric ratio, find b:
Reference angle = 45
opposite = 8
Hypotenuse = b
Thus,
Sin(45) = 8/b
b = 8/sin(45)
b = 8/(1/√2) (sin 45 = 1/√2)
b = 8 × √2/1
b = 8√2
✔️Find a using trigonometric ratio:
Reference angle = 60°
Hypotenuse = b = 8√2
Adjacent = a
Therefore,
Cos(60) = a/8√2
8√2*cos(60) = a
8√2*½ = a
4√2 = a
a = 4√2
✔️Find c using Pythagorean Theorem:
c² = b² - a²
c² = (8√2)² - (4√2)²
c² = 128 - 32
c² = 96
c = √96
c = √(16*6)
c = 4√6
If i want to build a fence around my rectangular yard, what is the area in fencing if one side is 50 feet long and the other is 80 feet wide?
Answer:
70 feet total
Step-by-step explanation:
Answer:
4,000
Step-by-step explanation:
50•80=4,000
4. Eddie drops a heavy book onto the floor. What does the energy of the book turn into when the book hits the floor?
O radiant energy
sound and heat energy
potential energy
O kinetic energy
Answer:
Heat and sound energy
Step-by-step explanation:
It starts off as potential energy, which is then converted to kinetic energy and by impact it'll develop a sound and heat energy.
Sound waves generates heat, and if some glass fell on the floor you can heat the shatter from the sound waves. The same goes for a book.
At least 3 units away from negative 1 (plot point)
Answer:
Positive 2 or Negative 4
Step-by-step explanation:
If this is on a number line