Answer:
[tex]\boxed {\boxed {\sf 6x^2+7x-20}}}[/tex]
Step-by-step explanation:
We are given 2 binomials (meaning they have 2 terms) and asked to express as a trinomial.
To do this, we have to multiply the 2 binomials using the FOIL method. FOIL stands for first, outside, inside, and last. Basically, multiply the first terms from both, then the outside, and so on.
F : First
[tex](\underline{2x}+5)(\underline{3x}-4)[/tex]
2x * 3x= 6x²
O: Outside
[tex](\underline{2x}+5)(3x \underline {-4})[/tex]
2x * -4 = -8x
I: Inside
[tex](2x+\underline5)(\underline{3x}-4)[/tex]
5 *3x=15x
L: Last
[tex](2x+\underline5)(3x\underline{-4})[/tex]
5*-4= -20
Now, put all the products together into one expression.
[tex]6x^2-8x+15x-20[/tex]
However, this is not a trinomial yet. There are like terms that can be combined. Notice how 2 terms both have the variable x. They can be added together.
[tex]6x^2 + (-8x+15x)-20[/tex]
[tex]6x^2+7x-20[/tex]
Now there are 3 terms and we have a trinomial: 6x²+7x-20
PLEASE HELP!
A camper is flying a kite at the end of a string 250 feet long. If they look up to
the kite at an angle of 43 degrees, what is the approximate height of the kite? (Round
your answer to the nearest foot.).
hypotenuse is 250 feet.
base angle is 43 degrees.
trignometery here I come!
Since we must find the height, aka adjacent side of right triangle, and we have the given hypotenuse
We shall use the sine!
sinθ is sin43
sin43 = A/H = x/250
multiply both sides by 250
250 (sin43) = x
DEGREE MODE on graphing calculator! [because the θ is in degrees mode]
x ≈ 171
Answer: x ≈ 171 feet
2x[tex]2x^{2}-3x-5[/tex]
Answer:
2x²-3x-5
=2x²-3x-5
=2x²-5x+2x-5
=2x(x-5)+2(x-5)
=(x-5)(2x+2)
Answer:
(x + 1)(2x - 5)
Step-by-step explanation:
Assuming you require the expression factorised.
2x² - 3x - 5
Consider the factors of the product of the x² term and the constant term which sum to give the coefficient of the x- term.
product = 2 × - 5 = - 10 and sum = - 3
The factors are + 2 and - 5
Use these factors to split the x- term
2x² + 2x - 5x - 5 ( factor the first/second and third/fourth terms )
= 2x(x + 1) - 5(x + 1) ← factor out (x + 1) from each term
= (x + 1)(2x - 5) ← in factored form
What it the length of the leg
how to use pythagoreom therom
Answer:
a² + b²= c²
Step-by-step explanation:
In these pictures you will see how to do pythagoreom therom in different situations.
which statement is true
Answer:
c
Step-by-step explanation:
im a math genius
Refer to the diagram below. What is the scale factor used to create the new shape.
Answer:
The correct answer is A: 4/5
Step-by-step explanation:
We would divide 24/30 and get 4/5
Write LCM of 35 and 144 (If you are not able to send a picture, then you can write step wise, please do not write a direct answer.)
Answer:
5040Step-by-step explanation:
multiply 35 by 144 which will give you your answer (lcm)What is the factored form of the polynomial 3x-3y
Answer:
Step-by-step explanation:
3x - 3y = 3(x-y)
please help me, I’ve been on this for 30 mins + I’m an idiot
I think it's 3/7?
hope this helps
Here is a graph of the relationship between the height and volume of some cylinders that all have the same radius, R. An equation that represents this relationship is V =Rºh (use 3.14.as an approximation for 7). What is the radius of these cylinders?
Answer:
Radius is 1 unitStep-by-step explanation:
The relationship is:
V = πr²hWe have points on the graph:
(9, 28.26) and (18, 56.52)Use one of the points, substitute into equation and solve for r:
28.26 = 3.14*9*r²r² = 28.26/28.26r² = 1r = 1During the 2 9-weeks reporting, a student's grade increased from 80 to 96. By what percentage did the grade increase?
32%
20%
16%
12%
Henry received 7/8 of the vote in the election for captain of the baseball team. What percent of the vote did he receive?
Answer:87.5%
Step-by-step explanation:
Given
Henry received [tex]\frac{7}{8}[/tex] of the votes in the election
i.e. 7 parts of votes are in favor of Henry out of 8
In terms of percentage, it is given by
[tex]\Rightarrow \dfrac{7}{8}\times 100=87.5\%[/tex]
The graph of an equation is shown below:
Based on the graph, which of the following represents a solution to the equation?
Answer:
(-2, -3)
Step-by-step explanation:
solutions are all the points where the line intersects
Simplify fully 8x/12x2y
Answer:
2/3xy.
Step-by-step explanation:
8x/12x^2y
The 8 and 12 simplify to 2/3 and x and x^2 simplify to 1/x so we have:
= 2/3xy.
Luis has some nickels, dimes, and quarters. The value of all of the coins, in cents, is represented with the expression shown.
5(2 + 2) + 10x + 25 (3x + 1)
Which part of the expression represents the number of quarters that Luis has?
A. x+2
B. 10x
C. 3x+1
D. 25(3x+1)
B.
10.
C
3.2 +1
D.
25 (3x + 1)
Answer:
The part of the expression that represents the number of quarters is;
D. 25·(3·x + 1)
Step-by-step explanation:
From the question, we have;
The values of the coins Luis has = Nickels, Dimes and quarters
The expression that represents the value of all the coins in cents is given as follows;
5(x + 2) + 10·1 + 25·(3·x + 1)
The value of a nickel = 5 cents
The value of a dime = 10 cents
The value of a quarter = 25 cents
Therefore, the part of the expression representing the number of quarters Luis has, has 25 as a factor
Therefore, the part of the expression that represents the number of quarters = 25·(3·x + 1).
NEED HELP ASAP
A ticket broker is selling seats to a rock concert. If the broker's commission is a $5.00 base fee and $0.50 extra for every ticket (t), the total cost for the broker's services is calculated by the expression below.
$0.50t + $5.00
How much does the broker earn by selling 12 tickets?
$5.50
$10.50
$11.00
$15.50
Answer:
11.00
Step-by-step explanation:
"T" is the number of tickets sold so take 0.50*12 and you would get 6.00
then take 6+5=11, then 11 is the answer
Simplify the expression:
[tex]\left(\frac{1}{2}\right)^{2}\cdot\frac{9}{11}+\frac{2}{3}[/tex]
Plz give steps.
Answer:
[tex]\frac{115}{132}[/tex]
Step-by-step explanation:
[tex](\frac{1}{2} )^{2} * \frac{9}{11} + \frac{2}{3}[/tex]
= [tex]\frac{1}{4} * \frac{9}{11} + \frac{2}{3}[/tex]
= [tex]\frac{9}{44} + \frac{2}{3}[/tex]
= [tex]\frac{27 + 88}{3(44)}[/tex]
= [tex]\frac{115}{132}[/tex]
PLEASE HELP 2 QUESTIONS! - YOU WILL GET 20 POINTS - MULTIPLE CHOICE - YOU WILL GET BRAINLIST - MATH
Answer:
choice 1) corresponding angles
choice 1) vertical angles
Step-by-step explanation:
Answer:
On the first one, angles 1 and 5 are corresponding angles and on the second one, angles 2 and 3 are vertical angles.
Step-by-step explanation:
brainliest
PORS and XYZ are straight lines.
PS is parallel to XZ.
Prove that the angle sum of any triangle is 180°
I have no idea
Step-by-step explanationI have no idea
Solve for x. Round to the nearest tenth.
Answer:
x=10.4
Step-by-step explanation:
tan(60°)=18/x
tan(60°)x=18
x=18/tan(60°)
x=10.4
I will mark you brainlist!
A. 24.12
B. 50.24
C. 58.14
D. 96.02
PLEASE HELP!! 50 POINTS
Two Quadratic functions are represented below
f(x)=-x^2+4x-3
a. In two or more complete sentences, explain how you can determine the maximum value of the
quadratic functions, f(x) and g(x).
b. Which function has the greater maximum value, f(x) or g(x)?
You can tell that the maximum value that [tex]g[/tex] attains is roughly [tex]4[/tex].
Rewriting [tex]f[/tex] in vertex form: [tex]f(x)=-(x-2)^2+1[/tex]. This tells us that the maximum of [tex]f[/tex] is [tex]1[/tex].
So [tex]g[/tex] has the greater maximum.
Answer:
g(X)
Step-by-step explanation:
need help thanks! :D
Answer:
2nd
Step-by-step explanation:
a hot air balloon travels 18 miles in 3 hours. At this rate how many miles will the hot air balloon travel in 3/4 hour
Answer:
4 miles
Step-by-step explanation:
Answer:
4.5 miles
Step-by-step explanation:
18 miles 3 hours = 6 miles/hour
6 x (3/4) = 4.5 miles
find: P (large or blue)
Answer:
Blue: DDD
Step-by-step explanation:
Answer:
7/10
Step-by-step explanation:
;)
The perimeter of the triangle is 29 cm.
a. Write an equation and solve for x.
b. Use the value of x to find the lengths of the sides of the triangle.
c. What kind of triangle is this: scalene, isosceles, or equilateral? Explain how you know using the calculated side lengths, not the picture
2x+2
3x - 1
x + 4
Answer:
Step-by-step explanation:
Equation
2x + 2 + 3x - 1 + x +4 = 29 Collect like terms on the left
6x + 5 = 29 Subtract 5 from both sides
6x = 29 - 5
6x = 24 Divide by 6
x = 24/6
x = 4
Length of the Sides.
2x + 2 = 2*4+2 = 10
3x - 1 = 3*4 - 1 = 12 - 1 = 11
x + 4 = 4 + 4 = 8
Type of Triangle
Scalene.
If there are 60 seconds in an minute, 60 minutes in an hour, 24 hours in a day, and 7 days in a week, how many seconds are in a week? Hint: Use a calculator to solve this problem.James and Kelly have $10 to spend at a grocery store. If they get 3 avocados which cost $1 each, 4 tomatoes which cost a total of $2 for all 4, and two loaves of bread which cost $2 each, how much change will James and Kelly receive after their purchase?
Answer:
Part a) 60 seconds in a minute, 60 minutes in an hour, 24 hours in a day, and 7 days in a week, how many seconds are in a week
60x60=3600 x 24= 86400 x 7= 604800
So 604,800 seconds in a week
Part b) James and Kelly have $10 to spend at a grocery store. If they get 3 avocados which cost $1 each, 4 tomatoes which cost a total of $2 for all 4, and two loaves of bread which cost $2 each, how much change will James and Kelly receive after their purchase?
So 3 x 1= $3
+ $2
2 x 2= $4
3+2+4= $9
10-9= $1
So they'll get back $1
Question 7 of 12 Solve: 3x- 8 = 6(1 - 2x) + 16 O A. x = 2 O B. x = 5 O C. x= -2 O D. There are infinitely many solutions.
Answer:
A. x =2
Step-by-step explanation: Rearrange terms 3x - 8 = 6 ( 1 - 2x ) + 16 ---> 3x - 8 = 6 ( -2x + 1 ) +16
Distribute
Add the numbers
Add 8 to both sides of the equation
Simplify
Add 12x to both sides of the equation
Simplify
Divide both sides of the equation by the same term
Simplify -------> x=2
please help, this is very urgent!!! no links please, and also if ur answer is correct I'll give brainliest!!!!
Answer:
I) 616
II) 4.53
Step-by-step explanation:
For the first one, just plug in 7 as R.
A = 4 x (22/7) x 7^2
A = 12.57142857 x 49
A = 616
For the second, one, put 452 4/7 as A.
452 4/7 also is 258.285
258.285 = 4 x (22/7) x r^2
258.285 = 12.57142857 x r^2
Divide both sides by 12.57142857
20.55372408 = r^2
Square root 20.55372408 for R.
4.533621519 = R
OR
4.53 = R
The larger triangle is a dilation of the smaller triangle with a center of dilation at (1,−1).
What is the scale factor of the dilation?
18
14
4
8
Answer:
just 4 I think
Step-by-step explanation:
the bottom of the bigger triangle is 8 and the little one is 2
8÷2= 4
Answer: just took the test. the answer is 4!
Step-by-step explanation: