Answer:
-6
Step-by-step explanation:
5p - 14 = 8p + 4
Subtract 8p from both sides.
-3p - 14 = 4
Add 14 to both sides.
-3p = 18
Divide both sides by -3.
p = -6
Answer: -6
Divide the polynomials. Your answer should be in the form p(x)+\dfrac{k}{x+2}p(x)+ x+2 k p, left parenthesis, x, right parenthesis, plus, start fraction, k, divided by, x, plus, 2, end fraction where ppp is a polynomial and kkk is an integer. \dfrac{x^2+7x+12}{x+2}= x+2 x 2 +7x+12 =start fraction, x, squared, plus, 7, x, plus, 12, divided by, x, plus, 2, end fraction, equals
Answer:
[tex](x+5)+ \dfrac{2}{x+2}[/tex]
Step-by-step explanation:
Given
[tex]\dfrac{x^2+7x+12}{x+2}[/tex]
Required
Simplify and present your answer in
[tex]p(x)+\dfrac{k}{x+2}[/tex]
First, we need to expand and factorize the numerator:
[tex]\dfrac{x^2+7x+12}{x+2}[/tex]
Express 12 as 10 + 2
[tex]\dfrac{x^2+7x+10+2}{x+2}[/tex]
Split into two using brackets
[tex]\dfrac{(x^2+7x+10)+2}{x+2}[/tex]
Split to two fractions:
[tex]\dfrac{(x^2+7x+10)}{x+2}+\dfrac{2}{x+2}[/tex]
Factorize the numerator of the first fraction
[tex]\dfrac{(x^2+5x+2x+10)}{x+2}+\dfrac{2}{x+2}[/tex]
[tex]\dfrac{x(x+5)+2(x+5)}{x+2}+\dfrac{2}{x+2}[/tex]
[tex]\dfrac{(x+2)(x+5)}{x+2}+\dfrac{2}{x+2}[/tex]
The first fraction can be simplified to give:
[tex](x+5)+ \dfrac{2}{x+2}[/tex]
Hence, by comparison:
We have simplified the given expression to the required format of:
[tex]p(x)+\dfrac{k}{x+2}[/tex]
Which implies that:
[tex]p(x) = x + 5[/tex] and [tex]k = 2[/tex]
Answer:
Step-by-step explanation:
hope this helps
ASAP PLS! BRAINLIEST
Answer:
[tex]y=-\frac{1}{4}x+4[/tex]
Step-by-step explanation:
So we pick one point from the graph
(0, 4)
[tex]y-y_{1}=m(x-x_{1} ) \\y-4=-\frac{1}{4}(x-0)[/tex]
Answer:
[tex]y-4=-\frac{1}{4}(x)[/tex]
Step-by-step explanation:
Point slope form = y − y1 = m(x − x1)
Our point is 0,4.
So the point slope is
[tex]y-4= (slope)(x)[/tex]
The slope is -1/4.
so,
[tex]y-4=-\frac{1}{4}(x)[/tex]
This is the answer.
9 29/40 as a decimal
Step-by-step explanation:
I think 9.279..............
I need to know the slope for M and the y-intercept for B
Step-by-step explanation:
slope is -2 and y intercept is -1
Using the inverse of sine, cosine and tangent allow us to find A missing side in a right triangle A missing angle in a right triangle The perimeter of a right triangle Triangular area
Answer:
A missing angle in a right angle.
Step-by-step explanation:
Given, the inverse of trigonometric functions sine, cosine and tangent.
To find:
The value that can be found using the inverse trigonometric functions.
Solution:
First of all, let us consider the right angled triangle attached in answer area.
Hypotenuse is AC, Base is BC and AB is the Altitude/Height of the right angled [tex]\triangle ABC[/tex].
Let us suppose all three sides are known and [tex]\angle C[/tex] is unknown.
Formula:
[tex]1.\ sin\theta = \dfrac{Perpendicular}{Hypotenuse}[/tex]
[tex]2.\ cos\theta = \dfrac{Base}{Hypotenuse}[/tex]
[tex]3.\ tan\theta = \dfrac{Perpendicular}{Base}[/tex]
Let us consider [tex]\angle C[/tex].
[tex]sin C = \dfrac{AB}{BC}[/tex]
If we taken inverse:
[tex]sin^{-1} sinC = sin^{-1} (\frac{AB}{BC})[/tex]
[tex]\Rightarrow \angle C = sin^1\frac{AB}{BC}[/tex]
Similar is the case for cosine and tangent.
Therefore, the missing angle of the right angled triangle can be calculated by the inverse of sine, cosine and tangent.
decide whether the sequence is artithemetic, geometric or neither 2,6,10,16
Answer:
We conclude that the sequence is NEITHER geometrc nor arithmetic.
Step-by-step explanation:
Given the sequence
[tex]2,6,10,16,...[/tex]
As we know that
An arithmetic sequence has a constant difference d and is defined by:
[tex]a_n=a_1+\left(n-1\right)d[/tex]
Computing the differences between all adjacent terms:
[tex]6-2=4,\:\quad \:10-6=4,\:\quad \:16-10=6[/tex]
The difference is not constant
Hence, the sequence is NOT arithmetic.
NOW, let's check whether is a geometric sequence or not
A geometric sequece has a constant common ration r and is defined by:
[tex]a_n=a_0\cdot r^{n-1}[/tex]
Computing the common ratios between all adjacent terms:
[tex]\frac{6}{2}=3,\:\quad \frac{10}{6}=1.66666\dots ,\:\quad \frac{16}{10}=1.6[/tex]
The ratio is not constant
Hence, the sequence is NOT geometric.
Therefore, we conclude that the sequence is NEITHER geometrc nor arithmetic.
Use the following Coordinate plane to write the ordered pair for each point!
A (,)
B (,)
C (,)
Answer:
A (0.5,4)
B (-3,0)
C (-1,1)
Step-by-step explanation:
What is the value of -216x - y when x = -3 and y = 4?
044
O -28
O 28
O 44
Answer:
- 44
Step-by-step explanation:
The absolute value function always gives a positive result, that is
| - a | = | a | = a
Given
- 2 | 6x - y | ← substitute x = - 3 and y = 4
= - 2 | 6(- 3) - 4 |
= - 2 | - 18 - 4 |
= - 2 × 22
= - 44
Laney is ordering books while she is on summer vacation. Reader’s Book Club charges $4.00 per book and requires a one-time membership fee of $12. Perfect Pages requires no membership fee and charges $7.50 for each book ordered. The cost for Laney to order books depends on the number of books ordered, b. Which inequality can be used to find the minimum number of books that can be ordered so that the cost of ordering books from Reader’s Book Club is less than the cost of ordering books from Perfect Pages?
Answer:
Step-by-step explanation:
edfdsfdsfs
A family has completed 50% of a trip and they have traveled 10 miles. How long is the trip?
in a company, 55% of the workers are menIf 2,385 people work for the company who aren't menhow many workers are there in all? Use pencil and paper. Show different ways that you can solve this problem
Step-by-step explanation:
2385 arent men (45%)
55% are men
how many total person:
2385/45: 53 people for each 1%
53x100:5300 total people
can someone please help me
First, subtract from both sides to get -37 and then add 7 to get -30. Lastly, divide both sides by -3 to get 10.
x=10
A small pool is being drained. There are 1,320 gallons of water remaining in the pool after 2 minutes and 1, 040 gallons after 9
minutes. How long would it take for the pool to be completely drained? (1 point)
Answer: 35 minutes
Step-by-step explanation:
For us to solve the question, we have to calculate the amount of gallons of water that is drained every minute. This will be:
= (1320 - 1040) / (9 - 2)
= 280/7
= 40 gallons per minute
Since we are told that 1,320 gallons of water remain in the pool after 2 minutes. This means that the total water in the pool at the beginning was:
= 1320 gallons + (40 × 2)
= 1320 gallons + 80 gallons
= 1400 gallons
The time taken for the pool to be completely drained will be:
= Total water in pool / Gallons drained per minute
= 1400 / 40
= 35 minutes
HELP Evaluate the function for x = 2 and x = 7.
h(x)=−4x+61
Answer:
Step-by-step explanation: not sure why there is two x values can you explain more
what is the slope of (5,8) (0,5)
Answer:
m= 3/5
Step-by-step explanation:
I need help ion fully know what to do
Find the first three terms of the sequence below.
T, = n2 + 2n +9
Answer:
12, 17, 24
Step-by-step explanation:
To find the first 3 terms, substitute n = 1, 2, 3 into the rule, that is
T₁ = 1² + 2(1) + 9 = 1 + 2 + 9 = 12
T₂ = 2² + 2(2) + 9 = 4 + 4 + 9 = 17
T₃ = 3² + 2(3) + 9 = 9 + 6 + 9 = 24
Answer:
12, 17, 21 is the answer to the question
(-6, 8)and (3, -7) in slope intercept form
Answer:
Step-by-step explanation:
y= - 5/3x-2
What is the slope,m?
A. 4/3
B. 3/4
C. - 4/3
D. - 3/4
Answer:
B.3/4
Step-by-step explanation:
fractions (I don't know much about them)
Answer:
B
Step-by-step explanation:
I used a calculator
A sequence is defined recursively using the formula f(n + 1) = f(n) – 5 . Which sequence could be generated using this formula?
1, –5, 25, –125, ...
2, 10, 50, 250, ...
3, –2, –7, –12, ...
4, 9, 14, 19, ...
In mathematics, the logarithm is the inverse function to exponentiation. That means the logarithm of a given number x is the exponent to which another fixed number, the base b, must be raised, to produce that number x.
Answer: Choice (3) which is the sequence –2, –7, –12, ...
Here we start with -2 and subtract off 5 each time we need a new term
-2-5 = -7
-7-5 = -12
and so on.
The notation f(n+1) = f(n) - 5 tells us "subtract 5 from the nth term, called f(n), to get the next term f(n+1)"
Penelope went to the store to buy x pounds of broccoli for $1.10 per pound and y cans of soup for $2.50 each. In total, she spent less than $10. The inequality relating the purchases she made and the total purchase price is 1.10x + 2.50y < 10. Which are reasonable solutions for this situation? Check all that apply. (–1, 4) (0, 2) (3, 2.5) (2, 4) (0.5, 3.78) (1.5, 3)
Answer:
(0,2) (1.5,3) B and F
Step-by-step explanation:
Your welcome loves
Answer:
B And F
Step-by-step explanation:
Complete the table using the equation y = 8x + 5.
0
2
3
у
help please :)
HEY RYAN QUESTIONS COMING SOON!!!!!!!!
Answer:
AHHHHH U TELL ME AT THE WORST TIMES HOMIE IMMA TRY THO
Jeff saw 7 identical
withdrawals on his bank
statement that came to a total
of $315. By how much did each
withdrawal change Jeff's
account?
Answer:
$45
Step-by-step explanation:
315/7=45
Answer:
Each withdrawal was $45 dollars
Step-by-step explanation:
315 / 7 = 45
Evaluate [(40 + 5) – 3^2= 9•2
PLEASE HELP, I don't understand what to do, your help would be highly a welcomed
Answer:
the persson who aswered this got it right ( up there or down there )
Step-by-step explanation:
2. Shown is the graph of y = f(x). Draw the graph of g(x) = -f(x).
у
Answer:
Step-by-step explanation: add Y to the X and then add -f to X Y and you will get the answers
Add Y to X 2.Get your answer and dived that by -f and u will get you answerSove the equation for all real solutions
-d^2-12d+4=-6d^2
Answer:
d=25 or d=2
Step-by-step explanation:
hope that helps!
Answer:
d=2/5 or d=2
Step-by-step explanation:
Step 1: Subtract -6d^2 from both sides.
−d2−12d+4−−6d2=−6d2−−6d2
5d2−12d+4=0
Step 2: Factor left side of equation.
(5d−2)(d−2)=0
Step 3: Set factors equal to 0.
5d−2=0 or d−2=0
d= 2/5 or d=2
Can someone please explain I’ll mark brainlest
Answer:
TriangleJXP = Triangle HCD
Side XJ = side HC
Side CD = side JP
Side PX = HD
Step-by-step explanation:
Looking at both of the triangles you use the lines on “top” of the side. These lines represent congruence meaning that they are similar to each other.
So looking at side JP u can see that there are two lines meaning that this is the second side that is congruent to another side, side CD.
Hope this helps.