Answer:
A) -p + 38
B) k + 1
C) a_n = 4n + 1
D) a_n = 7n - 6
E) a_n = 14 - 4n
Step-by-step explanation:
A) 5(p + 6) - 2(3p + 4)
Multiply out the bracket to get;
5p + 30 - 6p + 8
>> -p + 38
B) 7(k - 2) - 3(2k - 5)
Multiply out the bracket to get;
>> 7k - 14 - 6k + 15
>> k + 1
C) Sequence is;
5, 9, 13, 17, 21
This is clearly an AP(arithmetic progression) because the difference between each term is 4.
Formula for nth term of an AP is;
a + (n - 1)d
Where d is difference and a is first term
Thus;
a_n = 5 + (n - 1)4
a_n = 5 + 4n - 4
a_n = 4n + 1
D) Sequence is 1, 8, 15, 22, 29.
This is also an AP.
Difference is 7.
Thus,nth term is;
a_n = 1 + (n - 1)7
a_n = 1 + 7n - 7
a_n = 7n - 6
E) 10, 6, 2, -2, -6
This is also an AP.
Difference is -4
Thus,
a_n = 10 + (n - 1)(-4)
a_n = 10 - 4n + 4
a_n = 14 - 4n
Unit 8: Right Triangles & Trigonometry
Homework 2: Special Right Triangles
please help pt2 :]
Which of the following equations has the steepest slope?
a) y= 2/3 x+ 4
b) y = 2/5 x + 2
c) y = 3/2 x + 5
d) y = 1/2 x + 1
Linear relation questions(someone please help I will give brainliest please)
Answer:
See belowStep-by-step explanation:
#1Points given:
(4, -6), (-1, 4)Find the slope using slope formula:
m = (y₂ - y₁)/(x₂ - x₁) = (4 - (-6))/(-1 - 4) = 10/-5 = -2#2Equation of the line in slope-intercept form:
y = mx + bGiven:
slope, m = -3the y- intercept b = 11The line is:
y = -3x + 11#3The y-intercept is the intersection of the line with the y-axis:
b = -1 as per graphTo find the slope select two points and use the slope formula as shown above.
Points (0, -1) and (1, 1), the slope is:
m = (1 - (-1))/(1 - 0) = 2/1 = 2The line is:
y = 2x - 1PLEASEEE SOMEE FAST PLSSS HELPPPPPPPP MEE PLSSSSSSSSSSSSSSSSSSSSSSSSSS
Answer:
i odnt know
Step-by-step explanation:
The interior angle of a regular polygon is 156º. Find the number of sides of the polygon.
Answer:
15
Step-by-step explanation:
n = 15 sides. Therefore ,The polygon with each interior angle 156° has 15 sides.
6. Select all expressions that are equivalent to 1/2 to the third power.
Answer choices:
1/2 half but 2 is divided by 3.
1/8
1/3 to the second power
1/6
1/2x1/2x1/2
.5^3=0.125
Hope this helps.
❗❗❗PLS I NEED HELP ON THIS I DON'T UNDERSTAND PLS HELP❗❗❗❗❗❗
❗❗❗❗❗❗❗❗❗❗❗❗❗❗❗❗❗❗❗❗❗❗❗❗❗❗❗❗❗❗❗❗❗❗❗❗❗❗❗❗❗❗❗❗❗❗❗❗❗❗❗❗❗❗❗❗❗❗❗❗❗❗❗❗- UPDATED IMAGE
1.Which are the equation and solution for the sentence, "Anumber, n, divided by
four tenths equals 12?"
A. n ÷ 4 = 12; n = 36
B. 0.4n = 12; n = 30
C. n − 0.4 = 12; n = 12.4
D. n ÷ 0.4 = 12; n = 4.8
2.Janet has read all but the last 58 pages of a book. The book has a total of 125
pages. Which equation can you use to find how many pages (x) she has
already read?
A. 125 + x = 58
B. 125 − x = 58
C. 125 ÷ 58 = x
D. 58 − x = 125
3.Coach Whitcomb treated her soccer players to ice cream cones after they won
their game. She bought 12 cones and paid a total of $21.00. If she solves the
equation 12x = 21, she can find the price per ice cream cone. What does 1
cone cost?
A. $2.00
B. $1.75
C. $1.50
D. $1.25
Answer:
1) B/ 0.4n = 12; n = 30
2) B/ 125 – x = 58
3) B/ $1.75
Step-by-step explanation:
1) 0.4n = 12
n = 12 ÷ 0.4
n = 30
2) 125 – x = 58
– x = 58 – 125
– x = – 67 ( – & – will get cancelled)
x = 67
a) 125 + x = 58
x = 58 – 125
x = – 67 (pages won't be in negative)
c) 125 ÷ 58 = x
2.15 = x (wrong)
d) 58 – x = 125
– x = 125 – 58
– x = 67
x = 67 ÷ –1
x = – 67 ( pages won't be in negative)
3) 12x = 21
x = 21 ÷ 12
x = 1.75
Divide the polynomial in the numerator by the monomial in the denominator. Simplify your answer. 20x^5 – 6x^4 + 12x^3 + 12x^2 10x^2
Step-by-step explanation:
do u have a picture? its mixed up
Answer:
2x • (2x2 + 1) • (5x - 3)
Step-by-step explanation:
5.4 Find roots (zeroes) of : F(x) = 2x2 + 1
Polynomial Roots Calculator is a set of methods aimed at finding values of x for which F(x)=0
Rational Roots Test is one of the above mentioned tools. It would only find Rational Roots that is numbers x which can be expressed as the quotient of two integers
The Rational Root Theorem states that if a polynomial zeroes for a rational number P/Q then P is a factor of the Trailing Constant and Q is a factor of the Leading Coefficient
In this case, the Leading Coefficient is 2 and the Trailing Constant is 1.
The factor(s) are:
of the Leading Coefficient : 1,2
of the Trailing Constant : 1
Final result :
2x • (2x2 + 1) • (5x - 3)
Which data are represented by this dot plot a 2 4 0 2 4 6 3 0 7 1 2 7 8 1 1 b 0 1 2 3 4 5 6 7 8 0 1 2
Answer:
Mean (Average) 4.0384615384615
Median 2.5
Range 24
Mode 1, appeared 5 times
Geometric Mean 0
Largest 24
Smallest 0
Sum 105
Count 26
Step-by-step explanation:
also you put 'b' in the list so i removed that
i need help please no links i just need the answer please i can’t fail
Answer:
c
Step-by-step explanation:
just trust me
Whats the slope using Rise/Run?
Thanks
Answer: 1/4
Step-by-step explanation: Use (y2-y1)/(x2-x1) to find slope. The points are (-1, 1) and (-5, 0). (0 - 1)/(-5+1)= -1/-4 = 1/4
Hope this helps!
Quando Rondo is a dead man walking
Answer:
huh? really?
Step-by-step explanation:
:/ thats cool
Answer: yes?
Step-by-step explanation:
Algebra 2 will give points and brainly
Answer:
Step-by-step explanation:
In the 3rd question, we are given the equation x ^ 3 + x ^ 2 + 2x + 24. One of the factors is x + 3. Now, we can use long division to find that the equation we have left is x^2 - 2x - 8. We can just factor this to get (x - 4) (x + 2). In the 3rd question, possible factors for the coefficient are 1, 2, -1, -2. Possible factors for the constant are 1, 7, -1, -7. Now, we can try out all of them. The possible factors are 1, 7, -1, -7, 2, 14, -2, -14.
The Albertsons are purchasing a home for $400,000. They are financing 70 percent of the home’s value. In addition to the down payment, they have the following closing costs:
Lender’s inspection fee $400
Loan origination fee 1.5% of the loan amount
Notary public fee $60
Document recording fees $75
Title search $300
What is the total amount of the closing costs?
Answer:
$5,035
Step-by-step explanation:
First, you have $400 as the first cost in the closing costs.
You Then find 1.5% of the loan amount, which is 70% of $400,000 ($280,000), so 1.5% of $280,000 is $4,200. So you add $4,200 to the $400
Next, you add the notary fee of $60.
Then you add the recording fees of $75.
Lastly, you add the title search of $300.
Now add everything up, $400 + $4,200 + $60 + $75 + $300 = $5,035
Final answer = $5,035
Ishmael's stock went up $17 on Thursday and then down $13 on Friday. What was the total change in the value of the stock?.
Answer:is that subtraction?
Step-by-step explanation:
PLEASE HELP ITS A FINALE IF YOUR WRITE I GIVE YOU BRAINLIEST
Answer:
Answer is B.
Step-by-step explanation:
-2x (4x+5)
-8x^2 - 10x
Hippoty Hoppity, distributive property.
Multiply -2x by 4x, both have X's, so you combine them to get x^2 (X squared).
Hope this helped. Good luck on your finals.
Find the area of a circle that has a diameter of 11 inches. Approximate r as 3.14. Round your answer to the nearest
hundredth.
חו
A=
in?
Answer:
94.985in^2
Step-by-step explanation:
Given data
Diameter= 11inches
Radius = 5.5 in i.e 11/2= 5.5inches
The Area of a circle is given as
Area= πr^2
Substitute
Area= 3.14*5.5^2
Area= 3.14*30.25
Area= 94.985 in^2
Hence the area is 94.985in^2
The answer is 94.985in^2
rounded to neaarest hundreth 94.99in^2
NEED HELP ASAP!!!!!Can someone help me!???!
Answer:
c
Step-by-step explanation:
because it makes the most sense
Answer:
I am going to say c
Step-by-step explanation:
This is more question of math
Answer: 7 I think
Step-by-step explanation:
$9000.00 decreased by 0.5% is what?
Answer:
8955$
It got deleted because an idiot reported me.
A cereal company puts a colored ring in each box of cereal. There are 6 different ring colors. The colors of the rings in each of 50 cereal boxes are shown in the table below. Based on the data, what is the probability that the next cereal will contain a blue or yellow ring?
Fill in the blank. Two chords that are the same distance from the center of a circle must be
A. perpendicular
B. parallel
C. radii
D. congruent
Answer:congruent
Step-by-step explanation:
A ______ is a set of all points in space that are give distance from a given point.
Answer:The set of all points in space that are a given distance from a given point, called the center. ... A radius is a segment whose endpoints are the center and a point on the sphere.
Step-by-step explanation:
A sphere or circle is a set of all points in space that are give distance from a given point.
What is a sphere?A sphere is known to be a set of points that has all at the same distance r that is from a given point in three-dimensional space.
That said point is known to be the center of the sphere, and r is known to be the sphere's radius. The first known mentions of spheres is one that was seen in the work of the ancient Greek mathematicians.
learn more about circle from
https://brainly.com/question/24375372
help me pls!! giving brainliest and 5 stars
Answer:
A reflection over the line y = x followed by a translation up 3 units
Step-by-step explanation:
Since this is a multiple choice question, let's test each answer out.
First scenario:
"A reflection over the y-axis followed by a translation right 3 units and down 4 units"
Reflect segment XY over the y-axis, we get segment XY between x = 2 and x = 6, on y = 5 line.Translate right 3 units, we get segment XY on y = 5 line, between x = 5 and x = 9.Translate down 4 units, we get segment XY on y = 1 line, between x = 5 and x = 9.Resulting segment does not match segment X'Y', this answer is incorrect
Second scenario:
"A reflection over the line y = x followed by a translation up 3 units"
Reflect segment XY over y = x line, we get segment XY, between y = -2 and y = -6, on x = 5 line.Translate up 3 units, we get segment XY on x = 5 line, between y = 1 and y = -3.Resulting segment matches segment X'Y', this is the correct answer.
Suppose the population of a town is 17,400 and is growing 2% each year.
Predict the population after 9 years.
Answer: 20,532
Step-by-step explanation:
17,400(.02)=348
348(9)=3132
17,400+3132=20,532
Answer:
Step-by-step explanation:
This is an exponential growth function of the form:
[tex]y=ab^x[/tex] where a is the initial population and b is the growth rate. This could also be written as
[tex]y=a(1+r)^x[/tex] which is a bit more accurate. We'll use that one. r is the percent growth: 2% for us.
Filling in the formula:
[tex]y=17400(1+.02)^x[/tex] and then simplifying:
[tex]y=17400(1.02)^x[/tex]
That's the model for this population. Filling in any number of years for x will give you the population y. Our time is 9 years:
[tex]y=17400(1.02)^9[/tex]
Take care of the exponents first, giving us:
[tex]y=17400(1.195092569)[/tex] and then multiply to get
y = 20,794.6 or 20,794 people (since you can't have 6/10 of a person)
In circle o,find the value of x, rounded to the nearest tenth.
Answer:
[tex]\huge\boxed{x \approx 5.4}[/tex]
Step-by-step explanation:
We can break down this problem by first realizing different parts of the circle.
The line which is 8 units long is a chord of the circle.The line that is 3.6 is almost the radius of the circleThe line that x sits on is the radius.With this, we can find out if we find the radius of the circle, we have our answer.
We should also note that the angle formed by the 3.6 units long line and the chord is a right angle.
What we need is a way to find the radius of the circle. This will get us x. The radius of a circle will be the length of any line that starts from point O and ends at the circle edge.
If we draw a line connecting the end of the 3.6 line at point O to the end of the 8 unit long chord, we get a triangle! (Image attached for reference).
We can solve for the hypotenuse using the Pythagorean Theorem. This theorem states that:
[tex]\displaystyle a^2 + b^2 = c^2[/tex]Since we know one side is 3.6, we can use that as A. The second side will be 4 since the 3.6 line lies directly in the center of the chord = 8/2 = 4!
[tex]3.6^2 + 4^2 = c^2[/tex] [tex]12.96+16=c^2[/tex] [tex]28.96=c^2[/tex] [tex]\sqrt{28.96} = c[/tex] [tex]5.4 \approx c[/tex]Therefore, since this is the radius of the circle (also the hypotenuse), this can be said for any line that comes from point O onto the edge of the circle.
The line X does just that. Therefore, the value of x is also 5.4.
Hope this helped!
Need help ASAP please help
Andre earns 5200 a month at his new job. In order to track his spending and saving, he created a monthly
budget Andre divided his income into five categories and created the following círcle graph to represent the
budget he created for himself. Use this circle graph to answer the following questions.
Monthly Budget
Other
28%
Rent
30%
Savings
189
Groceries
15%
Utilities
9%
How much more money does Andre budget for Groceries and Utilities than he does for Savings?? Show
your work. Write your answer as a dollar amount.
Answer:
answer is 312.00
Step-by-step explanation:
Trust me I just took the test
can someone please help me with this:
x/4 ≤ -2
