Write an equivalent expression in standard form for
(5x + 4)(7x+ -12x + 27).
Answer: -25x² + 115x + 108
Concept:
When encountering questions that ask for simplifying polynomial expressions, using the method FOIL would be easier:
First, which means multiplying the first terms together;Outer, which means that we multiply the outermost terms when the binomials are placed side by side;Inner, which means multiply the innermost terms together;Last, which means multiplying the last term in each binomial together;Solve:
Given
(5x + 4) (7x + (-12x) + 27)
Combine like terms in the parentheses
=(5x + 4) (7x - 12x + 27)
=(5x + 4) (-5x + 27)
Expand parentheses and apply the FOIL method
=-25x² + 135x - 20x + 108
Combine like terms
= [tex]\boxed {-25x^2+115x+108}[/tex]
Hope this helps!! :)
Please let me know if you have any questions
Answer:
[tex]\boxed {\boxed {\sf -25x^2+115x+108}}[/tex]
Step-by-step explanation:
We are asked to find an equivalent expression for (5x + 4)(7x+ -12x + 27). Note that we are multiplying 2 polynomials.
[tex](5x + 4)(7x+ -12x + 27)[/tex]
Notice that the second polynomial has like terms. There are 2 terms with an x (7x and -12x) and we can combine them.
[tex](5x + 4)[(7x+ -12x) + 27][/tex]
[tex](5x + 4)[(-5x) + 27][/tex]
[tex](5x+4)(-5x+27)[/tex]
Now we are multiplying 2 binomials. Therefore, we use the FOIL method. We multiply the First terms, the Outside terms, the Inside terms, and the Last terms.
First: 5x * -5x = -25x²Outside: 5x * 27 = 135x Inside: 4* -5x = -20x Last: 4 * 27=108[tex]-25x^2+135x-20x+108[/tex]
Notice there are 2 terms with an x ( 135x and -20x). They are like terms and can be combined.
[tex]-25x^2+(135x-20x)+108[/tex]
[tex]-25x^2+115x+108[/tex]
The equivalent expression in standard form is -25x²+115x+108
Which expression is equivalent to 8(6g)?
Answer:
8(6g) = 48g
I hope I helped you^_^
Can you help me please??
Answer:
either a or c sry
Step-by-step explanation:
An elevator at a construction site has a maximum capacity of 3325 pounds. If the elevator operator weighs 225 pounds and each cement bag weighs 75 pounds, how many bags of cement can be safely lifted on the elevator in one trip?
can you pretty please solve this math equation for me 5+2=4
In the word problem below, what answer or solution are you being asked to
find?
STEP 2: PLAN
The entire school, 250 students, went to the soap
box derby. The Math Club went in 2 vans, and
each van held 6 students. How many students
from the Math Club went to the soap box derby?
O A. 6-2=?
O B. 6 + 2 = ?
O C. 6 x 2 = ?
O D. 6 - 2 = ?
Answer:
the answer is C 6x2 .....................
abhivardhansinghrathore7979
Answer:
hlo
Step-by-step explanation:
which Id I s ths and if u needs we can play t or d join eew-vtej-rxt
Answer:
thanks for the point back
Step-by-step explanation:
thanks
7 + (-24) / 8 + 4 (-2) =
Answer: 0
Step-by-step explanation:
7+(-24)/8+4(-2 )= 7-24/8+4(-2) = -17/8-8 = -17/0 = 0
Area of the Shaded Region rectangle within reactanlge
Find the area of the shaded region with the following measurements:
Answer:
132
Step-by-step explanation:
First you need to find the area of both regions (shaded and not shaded)
To find the shaded regions area multiply length by width
20 x 8 = 160
Then find the area of the unshaded region
7 x 4 = 28
Finally subtract the unshaded region from the shaded region
160 - 28 = 132
what's
the answer?????
9514 1404 393
Explanation:
Apparently, you're to show this is an identity.
[tex]\dfrac{\tan^2A}{\tan A-1}+\dfrac{\cot A}{1-\tan A}=1+\sec A\csc A\\\\\dfrac{\tan^2 A-\dfrac{1}{\tan A}}{\tan A-1}=\\\\\dfrac{\tan^3 A-1}{(\tan A)(\tan A-1)}=\\\\\\\dfrac{\tan^2 A+\tan A+1}{\tan A}=\\\\1+\dfrac{\sec^2 A}{\tan A}=\\\\1+\dfrac{1}{\cos A}\cdot\dfrac{1}{\sin A}=1+\sec A\csc A[/tex]
22b^9 divided by -2b^5
Answer:
-11 bytes4Step-by-step explanation:
compute the absolute value and the conjugate of z = (1 + i) ^ 6
Answer:
z = (1 + i)6 =³√2(cos π4+ isinπ4)´6= 8 µcos3π2+ isin3π2)¶= −8i. Hence |z| = 8 and ¯z = 8i. z = (1 + i)
I think I am not real sure
In polar form, we have
[tex]1+i = \sqrt2 e^{i\pi/4}[/tex]
Then by DeMoivre's theorem,
[tex](1+i)^6 = \left(\sqrt2\right)^6 e^{i\,6\pi/4} = 2^3 e^{i\,3\pi/2} = -8i[/tex]
Then
[tex]|z| = |-8i| = \boxed{8}[/tex]
and
[tex]\bar z = \overline{-8i} = \boxed{8i}[/tex]
ILL GIVE BRAINLIEST
evaluate the expression. 2•7(3^2)/3
Answer:
[tex] \frac{7 \times {3}^{2} }{3} \\ \frac{7 \times 3 \times 3}{3} \\ = 7 \times 3 = 21 \\ thank \: you[/tex]
Plz help ASAP need fast plz will mark Brainlyist
Answer:
The correct answer is the third one. CIRCUMFERENCE
Help thank you………………
Answer:
it is too easy I will answer it soon.
if 2x°and 3x°are adjacent angles in linear pair and find them
Step-by-step explanation:
2x°+3x°=180°[ sum of adjacent angle]
or,5x°= 180°
or,x°= 180°/5
x°=36°
2x°= 2× 36°= 72°
3x°= 3 × 36°= 108°
The solution to 12x = 36 is x =___. (Only input whole number) Numerical Answers Expected! Answer for Blank 1:
Hi ;-)
12x = 36
x = 36 : 12
x = 3
Hey there! I'm happy to help!
We see that an unknown number x multiplied by 12 is equal to 36. How do we find this number? Well, you can simply go backwards and divide 36 by 12, and this will give us our answer.
36÷12=3
Another way you can think about this is dividing both sides of the equation by 12, which isolates our x.
12x=36
12x÷12=36÷12
x=3
Have a wonderful day and keep on learning! :D
Compare 9/10 or 90percent'
Step-by-step explanation:
9/10
=0.9
90%
=90/100
=0.9
Hence, 9/10 = 90 %
There are □terms in the sequence 1, 3, 9, 27, 81, 243, .... 6561
Answer:
There are(2) terms in sequence1,3,9,27,81,243...6561
Step-by-step explanation:
1,3,9,27,81,243,729,2187,6561
There are 8 terms in the sequence 1, 3, 9, 27, 81, 243, .... 6561.
To determine the number of terms in the given sequence, we can observe that each term is obtained by multiplying the previous term by 3. Starting with the first term, which is 1, we can continue this pattern to find subsequent terms.
1 * 3 = 3
3 * 3 = 9
9 * 3 = 27
27 * 3 = 81
81 * 3 = 243
243 * 3 = 729
729 * 3 = 2187
2187 * 3 = 6561
As we can see, the sequence follows a pattern of multiplying each term by 3. In total, we have gone through 8 terms to reach 6561.
To learn more about sequence click on,
https://brainly.com/question/29153938
#SPJ2
find the length of BE BC=3x+47 DE=10 BD=x+27 CE=x+26
Answer:
B____C____D_____E
BC+ CE = BD + DE
(3x+47) + (x+26) = ( x+27) + (10)
4x + 73 = x + 37
4x – x = 37 – 73
3x = ‐ 36
x = – 36/ 3 —> x = – 12
BC = 3x + 47 = 3(-12) + 47 = - 36 + 47 = 11
BD = x+ 27 = –12+27 = 15
CE = x + 26 = –12+26= 14
So; BE = BD+ DE = 15+ 10= 25Or ;BE= BC + CE = 11+ 14 = 25I hope I helped you^_^
(x3)(x-5)
Fududeey
X=2
Answer:
-18 is the right answer..
Translate the sentence into an equation.
Twice the difference of a number and 8 is equal to 6.
Use the variable b for the unknown number.
Answer:
X=2
Step-by-step explanation:
8-x=6
there the answer is 2
Which set of ordered pairs represents a function?
{(3,6), (3, 1), (9,0), (2, 2)}
{(2,-5), (-3, 6), (-1, -8), (-3,-4)}
{(4, -7), (-2, -1), (-7,4), (9, -1)}
{(3,8), (-2,-9), (1,4), (1,9)}
Answer:
{(4, -7), (-2, -1), (-7,4), (9, -1)}
Step-by-step explanation:
Every other set of ordered pairs has an x-value that has more than one y-value. This is against the rules of a function. Therefore, {(4, -7), (-2, -1), (-7,4), (9, -1)} represents a function.
discoverings of marie curie
Answer:
Marie won the 1911 Nobel Prize in Chemistry for her discovery of the elements polonium and radium, using techniques she invented for isolating radioactive isotopes. Under her direction, the world's first studies were conducted into the treatment of neoplasms by the use of radioactive isotopes.
Basically, she discovered new elements and one of them is radiation which is used world-wide for cancer and other things
Step-by-step explanation:
Solve this problem, and identify the percent, amount, and base.
What percent of
60is15 ?
Answer:
9
Step-by-step explanation:
60 is 15=9
Find the value of x
2,8,9,7,6x ; the mean is 6
Answer:
x=2/3
Step-by-step explanation:
The mean is just the average of all the terms. Therefore, you can set up an algebraic expression to solve for x.
[tex]\frac{2+8+9+7+6x}{5} =6[/tex]
[tex]2+8+9+7+6x=30\\26x+6x=30\\6x=4\\x=4/6=2/3\\x=2/3[/tex]
simplify given
[tex] \sin3 \alpha \div \sin \alpha + cos \alpha + cos3 \alpha \div cos \alpha - sin \alpha [/tex]
Step-by-step explanation:
Hey there!
Please see attached picture for your answer.
Hope it helps!
pleaseeeeee solve this!
Answer:
C
Step-by-step explanation:
One graph line is equal to 10km and there is 2 graph lines between Red Bank and Belleville.
100 10 times as much as ___ of
Answer:
1 thousand
Step-by-step explanation:
1 ten = 10 x 1 one (Read, as “1 ten is 10 times as much as 1 one.”) 1 hundred = 10 x 1 ten (Say, “1 hundred is 10 times as much as 1 ten.”) 1 thousand = 10 x 1 hundred (Say, “1 thousand is 10 times as much as 1 hundred.”)i hope im right
please solve its due
Answer:
2118+3391+4785+6354= 16648
Step-by-step explanation: