Answer:
{1, 5}
Step-by-step explanation:
the union is all the values in both sets. The only shared numbers in these two sets are 1, and 5. therefore, the union of the sets is {1, 5}
Hope this helps have a great day! <3
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Multiply
(2x + 4)(2x - 4)
Answer:
4x^2 -16
Step-by-step explanation:
(2x + 4)(2x - 4)
FOIL
first:2x*2x = 4x^2
outer: -4 *2x = -8x
inner: 4*2x = 8x
last: -4*4 = -16
Add them together
4x^2 -8x+8x =-16
4x^2 -16
The multiplication of the expression (2x + 4)(2x - 4) is 4x² - 16.
What is the simplified form of the expression?Given the expression in the question:
(2x + 4)(2x - 4)
We can multiply the expression (2x + 4)(2x - 4) using the distributive property and the FOIL method.
(2x + 4)(2x - 4)
Apply the FOIL method:
2x( 2x - 4 ) + 4( 2x - 4 )
Apply distributive property:
2x × 2x + 2x × - 4 + 4 × 2x 4 × - 4
Multiply the terms:
4x² - 8x + 8x - 16
Collect and add like terms:
4x² - 16
Therefore, the simplified form is 4x² - 16.
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The function h(x) = x + 1 is formed by adding two functions, f(x) and g(x). The function j(x) = 3x – 6 is formed by multiplying the same functions. Which could be true of f(x) and g(x)? Check all that apply.
Both functions must be linear functions.
Both functions must have a positive rate of change.
The rate of change of both f(x) and g(x) must be less than 3.
The y-intercept for one function must be positive, while the y-intercept for the other function must be negative.
The y-intercepts of f(x) and g(x) must be between –6 and 1.
Answer: this is the right answer Both functions must be linear functions. And The y-intercept for one function must be positive, while the y-intercept for the other function must be negative.
Step-by-step explanation:
The true statements about the functions f(x) and g(x) are (a), (c) and (d)
How to determine the true statement?The functions are given as:
h(x) = x + 1
j(x) = 3x - 6
From the question, we have:
h(x) = f(x) + g(x)
j(x) = f(x) * g(x)
Expand the function j(x)
j(x) = f(x) * g(x) = 3 * (x - 2)
By comparison, we have:
f(x) = 3
g(x) = x - 2
f(x) + g(x) = 3 + x - 2
f(x) + g(x) = x + 1
This gives
h(x) = x + 1
By analyzing the functions f(x) = 3 and g(x) = x - 2, we can see that:
Both functions are linear functionsThe rates of change of the functions are less than 3The y-intercept for one function must be positive, while the y-intercept for the other function must be negative.Hence, the true statements are (a), (c) and (d)
Read more about linear functions at:
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Your grandmother has given you $200 for your birthday! You decide to
use that money and start saving to buy a used car. The car costs $6500,
and you know that you can save $350 each month. How many months will
you need to save so that you can buy this car? (Don't forget you already
have $200 from your grandma) *
Answer:
18
Step-by-step explanation:
6500= 200+ 350x
x=18
Answer:
id say eighteen
Step-by-step explanation:
SAT scores are normally distributed, with a mean of 1000 and a standard deviation of 200.
a) If you scored 950, what would be your percentile?
b) If you scored 1100, what percent of students scored better than you?
c) If your percentile was 92%, what did you score on the SAT?
Answer:
My sister is getting ready to prepare, I would say 1100 it means you are above.
Step-by-step explanation:
Which is the answer?
Answer:
c
Step-by-step explanation:
They are congruent by ASA because the problem already tells you one side is equal, and also says that the opposite sides are parallel. Therfore, teh opposite interior angles are equal and you can take the vertical angles, leading to ASA.
Answer:
ASA
Step-by-step explanation:
They are congruent by ASA because the problem already tells you one side is equal, and also says that the opposite sides are parallel. Therfore, teh opposite interior angles are equal and you can take the vertical angles, leading to ASA.
Hope this is helpful!
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You notice that another cupboard door is in the shape of a square that is divided into two isosceles triangles. You measure the height of the cupboard to be 16 "2" /"3" inches. What is the area of one of the triangles shown on the face of the cupboard door? Show your work AND I NEED TO KNOW HOW YOU DID IT IT SAYS SHOWYOUR WORK
In ΔNOP, the measure of ∠P=90°, OP = 31 feet, and NO = 39 feet. Find the measure of ∠N to the nearest tenth of a degree
Answer:
52.6
Step-by-step explanation:
If you drew the triangle correctly, NO would be the hypotenuse (39), PO would be a leg of the triangle(31) and the other leg NP is unknown (we dont need to care about that too much). To find angle N, we can use trig. We can use sin to figure this out since we are given a side opposite to angle N and we are given the hypotenuse. (sin=opposite/hypotenuse). However, since we are trying to figure out the angle, we have to use arc sin or [tex]sin^{-1}[/tex] on the calculator. So if we type [tex]sin^{-1}[/tex](31/39), we get 52.6
I can explain more if you dont understand
Answer:
23
Step-by-step explanation:
A used book sale charged $7.50 for hardcovers and $1.25 for paperbacks. During the sale, 15 hardcovers were sold and the sale earned $166.25. Write and solve an equation to determine the number of paperbacks, p, that were sold.
20 points i think
Answer:
43 paperback books
Step-by-step explanation:
7.50(15) + 1.25x = 166.25
112.50 + 1.25x = 166.25
Subtract 112.50 from both sides
(112.50 - 112.50) + 1.25x = (166.25 - 112.50)
1.25x = 53.75
Divide 1.25 from both sides
x = 43
find the volume of the following comes with the given dimensions. round your answer to the nearest hundredth. diameter=4ft height=1ft
Answer:
4
Step-by-step explanation:
Estimate the solution to the system of equations.
You can use the interactive graph below to find the solution.
7x-y=7
x+2y=6
Answer:
x = 4 / 3, y = 7 / 3
Step-by-step explanation:
We are given the following system of equations;
{ 7x - y = 7, ⇒ Let us multiply the first equation by 2,
x + 2y = 6 }
2 * ( 7x - y = 7 ) ⇒ 14x - 2y = 14 ⇒ Now add the two equations
+ x + 2y = 6 + x + 2y = 6
14x + x = 14 + 6 ⇒ Simplify
15x = 20,
x = 4 / 3 ⇒ Now substitute this value of x into the first equation to solve for the value of y,
7 * ( 4 / 3 ) - y = 7 ⇒ Simplify,
28 / 3 - y = 7,
y = 7 / 3
Solution; x = 4 / 3, y = 7 / 3
22 .Siswa dapat menganalisis persamaan menggunakan identitas trigonometri
a) cot x.cos x per cosec x
b) cos pangkat 4 x - sin pangkat 4 x
Help me please. Im giving 20 points
A telephone pole is 8 meters tall and a pigeon is standing on the ground 6 meters
from the pole. If the pigeon flies from where it is standing to the top of the
telephone pole, how far will it fly?
Your answer will be 10m.
We can picture this question as a right-angled triangle, where the pole is one leg, and the distance from the pole to the pigeon on the ground is another leg. Using this, the hypotenuse would be the distance that the pigeon would travel to get from the ground to the top of the pole, presuming it flies in a straight line, and so we can use Pythagoras’ Theorem to find the length of the hypotenuse.
a² + b² = c²
(6)² + (8)² = c²
36 + 64 = c²
100 = c²
10 = c
I hope this helps! Let me know if you have any questions :)
The exponential function f, represented in the table, can be written as
f (x)=a*b^x
x | y
___
0|5
1 | 8
Answer:
f(x) will be 11
Step-by-step explanation:
since the first 1 is (0,5) the (0,8) so +3 so next would be 11
Answer:
5(8/5)^x
Step-by-step explanation:
find the area of the composite figure
Answer:
Quickly learn how to find the Area of Composite Figures in today's geometry lesson. With 19 worked examples, you'll have everything you need ...
Step-by-step explanation:
1/3 x 1 1/4 as a fraction
Answer:
11/12
Step-by-step explanation:
1
3
(
11
4
)
=(
1
3
)(
11
4
)
=
(1)(11)
(3)(4)
=
11
12
(Decimal: 0.916667)
PLease mark me brainllest!!!
The given equation in fraction should be [tex]\frac{5}{12}[/tex]
Calculation of the fraction:Since two fractions are given i.e. [tex]\frac{1}{3}[/tex] and [tex]1 \frac{1}{4}[/tex]
We have to multiply these two in fractions
So,
[tex]= \frac{1}{3} \times 1\frac{1}{4}\\\\ = = \frac{1}{3} \times \frac{5}{4} \\\\= \frac{5}{12}[/tex]
Therefore, we can concluded that The given equation in fraction should be [tex]\frac{5}{12}[/tex]
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Percentages less than 100% definition
Answer:
fractions
Step-by-step explanation:
Answer:
A number or ratio expressed as a fraction of 100
Step-by-step explanation:
Use outside of percentages but reused under 100 when explained.
Steepness of a hill or gradient of a line = rise/run x 100
On a graph the numbers go from 0 for flat, to 100% at 45 degrees, to infinity as it approaches vertical.
Percentage is Tangent of a circle as where it meets it angle it always is intercepted by the circumference or new angle and becomes less than 180 as it forms a leg of a shape, or a side and 1% represents 100 x 0.01000033334% in Radians as another example. we multiply by 100 and get 1 Rad or a 180 degree line. Broadness of usefulness in percentage is the ratio so 1% of a radian can be the decimal above, and 100% of 1 rad = 180/pi =57.2957 We find a semi-circle has an arc length of pi*r and also that it is 180 degrees. From that you can conclude that the number of degrees in a radian is 180/pi and shows 50% of the circle but 100% of 1 radian.
A surgical technique is performed on eight patients. You are told there is an 80% chance of success. Find the probability that the surgery is successful for fewer than two patients. Please show your work.
Answer:
20.31%
Step-by-step explanation:
a) Construct a binomial distribution.
P = nCx* p%5Ex%2Aq%5E%28n-x%29 p= .8 and q = .2 and n = 8
b) Find the
mean = np = 8%2A.8+=+6.4
variance = npq = 6.4%2A.2+=+1.28
standard deviation of the probability distribution.sqrt%281.28%29
c) P(x = 6) = 28+%2A%28.8%29%5E6%28.2%29%5E2 = .2936 or 29.36%
d) P(x < 6) = 1 - P(x = 8) - P(x = 7) - P(x = 6)
= 1 - .1678 - .3355 - .2936 = .2031 or 20.31%
HOPE THIS HELPS PLZ MRK BRAINLIEST
If you have a cubic polynomial of the form y = ax^3 + bx^2 + cx + d and lets say it passes through the points (2,28), (-1, -5), (4, 220), and (-2, -20) what would the coefficients a, b, c, and d equal? So confused, I'd greatly appreciate help! Thank you!
Step-by-step explanation:
Step 1: Solve using the first point
(2, 28)
[tex]28 = a(2)^3 + b(2)^2 + c(2) + d[/tex]
[tex]28 = 8a + 4b + 2c + d[/tex]
Step 2: Solve using the second point
(-1, -5)
[tex]-5 = a(-1)^3 + b(-1)^2 + c(-1) + d[/tex]
[tex]-5 = -a + b - c + d[/tex]
Step 3: Solve using the third point
(4, 220)
[tex]220 = a(4)^3 + b(4)^2 + c(4) + d[/tex]
[tex]220 = 64a + 16b + 4c + d[/tex]
Step 4: Solve using the fourth point
(-2, -20)
[tex]-20 = a(-2)^3 + b(-2)^2 + c(-2) + d[/tex]
[tex]-20 = -8a + 4b - 2c + d[/tex]
Step 5: Combine the first and fourth equations
[tex]28 - 20 = 8a - 8a + 4b + 4b + 2c - 2c + d + d[/tex]
[tex]8 = 8b + 2d[/tex]
[tex]8 - 8b = 8b - 8b + 2d[/tex]
[tex](8 -8b)/2 = 2d/2[/tex]
[tex]4 - 4b = d[/tex]
Step 6: Solve for c in the second equation
[tex]-5 + 5 = -a + b - c + d + 5[/tex]
[tex]0 + c = -a + b - c + c + d + 5[/tex]
[tex]c = -a + b + d + 5[/tex]
Step 7: Substitute d with the stuff we got in step 5
[tex]c = -a + b + (4 - 4b) + 5[/tex]
[tex]c = -a + b + 4 - 4b + 5[/tex]
[tex]c = -a - 3b + 9[/tex]
Step 8: Substitute d and c into the first equation
[tex]28 = 8a + 4b + 2(-a - 3b + 9) + (4 - 4b)[/tex]
[tex]28 = 8a + 4b - 2a - 6b + 18 + 4 - 4b[/tex]
[tex]28 - 22 = 6a - 6b + 22 - 22[/tex]
[tex]6 / 6 = (6a - 6b) / 6[/tex]
[tex]1 + b = a - b + b[/tex]
[tex]1 + b = a[/tex]
Step 9: Substitute a, b, and c into the third equation
[tex]220 = 64(1 + b) + 16b + 4(-(1 + b) - 3b + 9) + (4 - 4b)[/tex]
[tex]220 = 64 + 64b + 16b + 4(-1 - b - 3b + 9) + 4 - 4b[/tex]
[tex]220 - 100 = 60b + 100 - 100[/tex]
[tex]120 / 60 = 60b / 60[/tex]
[tex]2 = b[/tex]
Step 10: Find a using b = 2
[tex]a = b + 1[/tex]
[tex]a = (2) + 1[/tex]
[tex]a = 3[/tex]
Step 11: Find c using a = 3 and b = 2
[tex]c = -a - 3b + 9[/tex]
[tex]c = -(3) - 3(2) + 9[/tex]
[tex]c = -3 - 6 + 9[/tex]
[tex]c = 0[/tex]
Step 12: Find d using b = 2
[tex]d = 4 - 4b[/tex]
[tex]d = 4 - 4(2)[/tex]
[tex]d = 4 - 8[/tex]
[tex]d = -4[/tex]
Answer: [tex]a = 3, b = 2, c = 0,d = -4[/tex]
Which of the following are characteristics of the graph of the absolute value
parent function?
Check all that apply.
PLEASE HELP
The graph of the absolute value parent function will be V-shaped. Then the correct option is C.
What is an absolute function?The absolute function is also known as the mode function. The value of the absolute function is always positive.
The absolute function is given as
f(x) = | x – h | + k
The graph of the absolute value parent function will be V-shaped.
Then the correct option is C.
More about the absolute function link is given below.
https://brainly.com/question/10664936
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Answer:
A,C,D
Step-by-step explanation:
just took the test
can someone helpp ??
Answer:
21.24°
Step-by-step explanation:
I hope it helps :)
Given f(x)=(2x-3)(3x+7), what is the y-intercept
Answer:
(0,-21)
Step-by-step explanation:
The x value of a y intercept is always 0
So we can plug in 0 to the equation to solve for the y intercept
(2*0-3)(3*0+7)
-3*7= -21
y intercept: (0,-21)
Answer:
-21
Step-by-step explanation:
f(x)=(2x-3)(3x+7)
The y intercept is when x=0
f(0) = (0-3) (0+7)
-3*7
-21
The y intercept is -21
ariq’s design for a swimming pool is shown here. What is the area of the pool cover needed for the design?
____ ft^2
Answer:
it’s 76 ft squared
Step-by-step explanation:
happy to help:)
Can 0.8 be the probability of an outcome in a sample space
Yes or no
Answer:Yes
Step-by-step explanation:
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jeffs water bill includes a base charge of 12$ plus a charge of 1.50$ for each 1000 gallons of water used. jeffs water bill is 28.50$
how many gallons of water did jeff use?
Answer:
11,000 gallons
Step-by-step explanation:
Jeffs water bill = 28.50
Charge for water used = 28.50 - 12 = 16.50
Therefore number of gallons used = 16.50/1.50 x 1000 = 11,000 gallons
Find the range of the data in the box plot below.
pencils
PLZ ASAP PLZ ASAP
Answer:
12
Step-by-step explanation:
the range is = maximum value given - the minimum value given
the data is spread from 0 -12. that means that someone either had 0 pencils or any other number of pencils to 12.
the range would then be 12 - 0.
For the given circle, find the value of x
Answer:
230
Step-by-step explanation:
the angle 115 is half of that arc
A pitcher can hold 8 times as much as a glass. The pitcher holds 64 ounces.
Which model shows this comparison?
54 ounces
Glass ?
Pitcher ??????
Glass ?| ?| ?| ?| ?| ?| ?| ?
Pitcher ?
54 ounces
3 ounces
Glass ????
Preher ????
Glass
Pitcher
54 ounces
84 ounces
Answer:
Im guessing this i might be wrong
54 ounces
3 ounces
Step-by-step explanation:
Answer:
To be honest i think 54 ounces and 3 ounces
Step-by-step explanation:
i was going to say 54 and 84 but i said to myself that didn't make any sense if it is 84 let me know plz
Hope this helpsHope this is rightPlz I need help with this problem. I'm dumb
Answer:
V_rectangular_box = width x height x length
V = V_big_one + V_small_one
= (1/3)x(1/4)x(5/8) + (1/6)x(1/4)x(1/4) = 1/16 (ft3)
Answer:
fjdjdkhfidkfjsidmi
Step-by-step explanation:
irufusidjf9sodf8wpud8dkdhd8idhddh
The sum of three consecutive terms of an A.P is 18 and their product is 120. Find the terms?
Answer:
2 6 10
Step-by-step explanation:
Eduardo has purchased a home with an assessed value of $179,000. The
property tax rate in his area is 2.3%. What is his monthly tax payment?
O A. $343.08
O B. $341.98
C. $345.76
O D. $348.67
Answer: A. 343.08
Step-by-step explanation:
with the property tax rate and monthly tax payment is what were looking for
