Answer:
(x + 7)(3x - 1)Step-by-step explanation:
See the steps below:
3x² + 20x - 7 = 3x² + 21x - x - 7 = 3x(x + 7) - (x + 7) = (x + 7)(3x - 1)First Method: (By splitting the middle term)
We have to find p and q such that p+q = 20 and
pq = 3×(-7) = -21
Let us looks for the pair of factors of -21 such that their sum is 20 and product is -21.
20 = 21 - 1 and -21 = 3(-7)
∴ 3x² + 20x - 7 = 3x² + 21x - 1x - 7
= 3x(x + 7) -1(x + 7)
= (x + 7)(3x - 1)
Second method: (Using the factor theorem)
In how many ways can 5 people sit in 5 chairs if Frankie and johnny want to sit next to each other.
Answer:
24
Step-by-step explanation:
plz mark brainly
Evaluate (4/25) 1/2
A 4/5
B 4/25
C2/5
D2/25
2/25
Step-by-step explanation:
[tex]\begin{aligned}\tt\left(\frac{4}{25}\right)\cdot\frac{1}{2}&=\tt\frac{4}{50}\to(\div~2)\\&=\tt\frac{2}{25}\end{aligned}[/tex]
Write an equation in the slope-intercept form of the line.
What are the three trigonometric reciprocals of sine, cosine, and tangent?
Answer:
Secant, cosecant and cotangent.
Step-by-step explanation:
Step-by-step explanation:
There are three reciprocal trigonometric functions, making a total of six including cosine, sine, and tangent. The reciprocal cosine function is secant: sec(theta)=1/cos(theta). The reciprocal sine function is cosecant, csc(theta)=1/sin(theta). The reciprocal tangent function is cotangent, expressed two ways: cot(theta)=1/tan(theta) or cot(theta)=cos(theta)/sin(theta).
Help would be appreciated!
Please explain how you got the answer c:
Answer:
-25
Step-by-step explanation:
Reading the expression:We're given the sigma notation of a series.
[tex] \mathsf{ \sum _{k = 1} ^{5}(2k - 11) }[/tex]
The variable k is the "index of notation"
The expression can be read as the sum of (2k- 11) as k goes from 1 to 5.
"To generate the terms of a series given in sigma notation, successively replace the index of summation with consecutive integers from the first value to the last value of the index" ~internet
- - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
Generating the terms of the series:To generate the terms of the series given on sigma notation above, replace k by 1, 2, 3, 4, and 5 and add the terms, to get the answer to the given notation.
[tex]\mathsf{ \sum _{k = 1} ^{5}(2k - 11) } \\ = \mathsf{ \overline{2(1) - 11} + \overline{2(2) - 11} + \overline{2(3) - 11} } \\ \mathsf{ + \overline{2(4) - 11} + \overline{2(5) - 11}}[/tex]
[tex] = \mathsf{\overline{2 - 11} +\overline{4 - 11} + \overline{6 - 11} } \\ \mathsf{\overline{8 - 11} + \overline{10- 11}}[/tex]
[tex] = \mathsf{ - 9- 7 - 5 - 3 - 1}[/tex]
- - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
Final Answer:[tex] \mathsf{ \underline{- 25}}[/tex]
______________________
[tex] \mathfrak{ \overline{There \: You \: Are!}}[/tex]
Let's see
[tex]\\ \rm\Rrightarrow {\displaystyle{\sum^2_{k=1}}}(2k-11)[/tex]
k=1,2,3,4,5[tex]\\ \rm\Rrightarrow 2(1)-11+2(2)-11+2(3)-11+2(4)-11+2(5)-11[/tex]
[tex]\\ \rm\Rrightarrow 2-11+4-11+6-11+8-11+10-11[/tex]
[tex]\\ \rm\Rrightarrow 30-55[/tex]
[tex]\\ \rm\Rrightarrow -25[/tex]
What is the next term in the sequence 4, -12, 36?
a. -42 b. -54
Which term in the sequence -2, -5, -8, -
a. 9th term b. 10th term
What are the first three terms of the sequence whose general term is an = 2n+1?
a. 3, 5, 7 b. 4, 6, 8 c. 5, 6, 7 d. 6, 8, 10 Find the general term of the sequence -10, -20, -30, -
a.an =-10n b.an =10n c.an =n 10 d.an =10-n
An online seller sold 89 face shields on the first day, 76 face shields on the second day and 63 face shields on the third day and so on. If this pattern continues, how many face shields will be sold on an nth day?
a.an=102-13n b.an=102+13n c.an=100+13n d.an=100-13n
c. -72 d. -108 -32?
c. 11th term d. 12th term
6. In the given sequence 15, 19, 23, 27. What is the 12th term?
a. 63 b. 59 c. 51 d. 33
7. What is the common difference of the arithmetic sequence below?
a. 8 b.6 c. 5 d. 3
8. The value of a7 in an arithmetic sequence where a3 = -4 and a8 = 11 is
a. 2 b. 5 c. 8 d. 10
9. What operation is used in determining the common difference?
a. multiplication b. division c. addition d. subtraction
Surface area of composite figures
jack divided 1,826 by to get a quotient of 18.265
Answer:
its 100
Step-by-step explanation:
Answer using the steps: the 1st and 2nd term of a certain geometric sequence are 10 and -5 respectively. what is the 5th term of the geometric sequence
Answer:
hgnatvaveBfsbztntsrqbrahrahrah
The ratio of adults to children is 16 to 10. If there are 40 adults, how many children are there? Complete the ratio table to find the number of children.
Adults 16 8 40
Children 10
25
30
20
15
Answer:
Answer: 25
Step-by-step explanation:
Ratio: 16:10
Number of adults=40
So,
16 = 40
10 x
16(x) = 40(10) [ CROSS-MULTIPLICATION ]
16x = 400 [ TRANSPOSE 16 TO THE RIGHT }
x = 25
Step-by-step explanation:
PLEASE HELP 25 points!! Algebra 1
Answer:
A
Step-by-step explanation:
twice of the second angle
2b
15 less than it
2b - 15
that is the first angle
2b - 15 = a
:)
okay can someone please answer this>
Answer:
1st one: x = -2
2nd one: x = -4
Step-by-step explanation:
1. Step 1: Rewrite into an equation.
[tex](6x+44) + (-10x+65) = 117[/tex] [tex]6x + 44 - 10x + 65 = 117[/tex]Step 2: Simplify both sides of the equation.
[tex](6x-10x) + (44+65) = 117[/tex] [tex]-4x + 109 = 117[/tex]Step 3: Subtract 109 from both sides.
[tex]-4x + 109 - 109 = 117-109[/tex] [tex]-4x = 8[/tex]Step 4: Divide both sides by -4.
[tex]\frac{-4x}{-4}=\frac{8}{-4}[/tex] [tex]x = -2[/tex]Therefore, x = -2 for the first one.
2. Step 1: Rewrite into an equation.
[tex]-16x + 13 - 20x + 23 = 180[/tex]Step 2: Simplify both sides of the equation.
[tex](-16x-20x)+(13+23)=180[/tex] [tex]-36x +36 = 180[/tex]Step 3: Subtract 36 from both sides.
[tex]-36x + 36 - 36 = 180 - 36[/tex] [tex]-36x = 144[/tex]Step 4: Divide both sides by -36.
[tex]\frac{-36x}{-36} = \frac{144}{-36}[/tex] [tex]x = -4[/tex]Therefore, x = -4 for the second one!
HOW DO YOU EQUAL THIS 12?? IVE TRIED EVERYTHING PLEASE EXPLAIN!!!!
Answer:
green= 7
purple=5
Step-by-step explanation:
we already know the trapezoid is 5 so 12-5=7
then since we know the green cresent is seven do 12- 7= purple = 5
Hope this helps
The Antonov Cargo Aircraft weighs 5,830,000 pounds. How is this number written in scientific notation?
Answer:
5.83 × 10^6
Step-by-step explanation:
I am the smartest boi.
How can I find the dimensions that equal 36?
Answer:
The dimensions that equal 36 can be a rectangle, based off the length and width within cm, the length will equal to 9 and width will equal to 18
Explanation:
Let the length of the rectangle be L and the width be W. The perimeter of a rectangle is 2(L + W) = 36
=> W = 18 - L
by+ax+c = 0 solve for x
Answer:
by + ax + c = 0
-c -c
by + ax = d
by/b d/b
ax/a = e/a
f = x
Step-by-step explanation:
There were no numbers so I substituted them for letters :)
help
Which lines are perpendicular to the line y –1=1/3(x+2)?
check all that apply
y + 2 = –3(x – 4)
y − 5 = 3(x + 11)
y = -3x – Five-thirds
y = One-thirdx – 2
3x + y = 7
f(x) =3x/x+2
Evaluate.
F(v) = ?
Explain..
I will give Brainliest!
Answer:
5
Step-by-step explanation:
f(v) means your x value is v so substitute X=v in f(x)
[tex]f(v) = 3 \frac{v}{v} + 2 \\ 3 + 2 \\ 5[/tex]
8x-8/3=2x-1
find the value of x
Answer:
2
Step-by-step explanation:
Correct me if im wrong?
Answer:
Step-by-step explanation:
Exact Form:
x = 5 over 8
Decimal Form:
x = 0.2 over 7
Please help me solve this ASAP
Answer:
There is no solution.
Step-by-step explanation:
In simplifying this, you'd start by distributing the negative sign on the left.
-(6x + 6) + 2 = -6x - 3 becomes -6x - 6 + 2 = -6x - 3.
Then you can add -6 and 2 on the left.
-6x - 6 + 2 = -6x - 3 becomes -6x - 4 = -6x - 3.
With that done, you can add 4 to both sides.
-6x - 4 = -6x - 3 becomes -6x = -6x + 1.
Then, add 6x to both sides.
-6x = -6x + 1 becomes 0 = 1.
Here, we run into an issue - 0 does not equal 1, and there is no way to avoid running into this while solving this equation. This means that this problem has no solution, there is no value that x can have that would make it true.
3(-2x-4y)-4(6y-x)
simplify
Answer:
Simplify the expression.
12xy−72yexponent 2 -6x
Step-by-step explanation:
got it from mathaway
what number must be subtracted from both the numerator and denominator of 5/9 to obtain a fraction equal to 3/8
Answer:
67 / 72
Step-by-step explanation:
3/8 + 5/9 = 27/72 + 40/72 = 67/72
sarah is taking out a $24,400, 4 year new car loan with an apr of 2.88%. what is the finance charge for this loan? round to the nearest $100
The finance charge for the car loan Sarah took rounded to the nearest 100 dollars is 700 dollars.
What is the percentage?A percentage is a value per hundredth. Percentages can be converted in decimals by dividing the percentage value by 100 it can also be simplified to keep it in a fraction form.
Given Sarah is taking a loan of 24,400 dollars for a new car.
Also given is the finance charge for this car loan is 2.88%.
We know 2.88% of 24400 dollars is,
= (2.88/100)×24400 dollars.
= 0.0288×24400 dollars.
= 702.72 dollars.
Which rounded to the nearest 100 dollars is 700 dollars.
learn more about percentage here :
https://brainly.com/question/24159063
#SPJ2
Savvas Slope intercept graph
Answer:
Wheres the graph/question?
Step-by-step explanation:
A student is given the equation 6(x+2)=3(4+2x). Which statement is true?
6(x+2)simplifies to 6x+ 2 and 3(4+2x)simplifies to 12+2x, so it can be determined that the equation has no solution.
6(x+2) simplifies to 6x + 2 and 3(4+2x)simplifies to 12+2x, so it can be determined that the equation has one solution.
6(x+2) simplifies to 6x + 12 and 3(4 + 2x)simplifies to 12 + 6x, so it can be determined that the equation has infinitely many solutions.
6(x + 2)simplifies to 6x+ 12 and 3(4 + 2x)simplifies to 12 + 6x, so it can be determined that the equation has no solution.
((will give brainliest,to best answer))
Answer:
6 ( x + 2 ) simplifies to 6x + 12 and 3 ( 4 + 2x )simplifies to 12 + 6x, so it can be determined that the equation has infinitely many solutions.
Step-by-step explanation:
As both sides are equal, any value substituted will be the same.
solve the compound inequality-8 < 5x + 7 <2
Answer:
-3 < x ≤ -1
Step-by-step explanation:
-8 < 5x + 7 ≤ 2
First, subtract 7 from all sides of the inequality:
-8 - 7 < 5x + 7 - 7 ≤ 2 - 7
-15 < 5x < -5
Divide all sides by 5 to isolate x:
-15 ÷ 5 < 5x ÷ 5 ≤ -5 ÷4
-3 < x ≤ -1
Hope this helps!
PLEASE HELP! Sakura's house is at an elevation between 113 m and 120 m above sea level. Her friend Ted lives about 15 m below her.
A: Choose the compound inequality that describes the elevation x of Ted's house
B. ted lives between _____ m and ______ m above sea level​
Answer:
98 and 105
Step-by-step explanation:
y=6x-2 table for linear equation
Find f(g(x)) and g(f(x)) and determine whether each pair of functions f and g are inverses of each other (pls include work and a simple how-to)
1. f(x)
4x and g(x) = x/4
Answer:
YesStep-by-step explanation:
Given:
f(x) = 4xg(x) = x/4Find the following:
f(g(x)) = 4*g(x) = 4*x/4 = xg(f(x)) = f(x)/4 = 4x/4 = xSince f(g(x)) = g(f(x)) = x, the functions are inverses of each other.
[tex]\\ \sf\longmapsto f(g(x))=4(x/4)=x[/tex]
[tex]\\ \sf\longmapsto g(f(x))=4x/4=x[/tex]
f(x) and g(x) are inverse of each otherFactor this please and thank you for the help
Answer:
(x−2)(x+5)
Step-by-step explanation:
Answer:
(x - 2) (x + 5) are the factors.Step-by-step explanation:
= > 3x + x^2 - 10
= > x^2 + 3x - 10
= > x^2 + (5 - 2)x - 10
= > x^2 + 5x - 2x - 10
= > x(x + 5) - 2(x + 5)
= > (x - 2) (x + 5) ... factors
HOPE IT HELPS YOU!!