4. What is the factored form of the expression 49x2 + 20?
A (7x + 215)(7x - 2/5)
B (7x + 2iV5) (7x - 2i75)
C (7xi + 275) (7xi - 215)
D (7xi +2175) (7xi - 2175
Answers
The factored form of the expression would be; (7x + 2√5) (7x - 2√5)
What are equivalent expressions?Those expressions that might look different but their simplified forms are the same expressions are called equivalent expressions.
To derive equivalent expressions of some expressions, we can either make it look more complex or simple. Usually, we simplify it.
We need to factor the expression form 49x² + 20
Therefore, 49 is a perfect square,
This expression could also be given as;
(7x)²- (2√5)²
Now, we know that:
a²- b² = (a + b) (a - b)
Now plug the values then we have:
(7x)²- (2√5)² = (7x + 2√5) (7x - 2√5)
Hence, the factored form of the expression would be; (7x + 2√5) (7x - 2√5)
Learn more about expression here;
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The factored form of the expression 49x² + 20 will be (7x - 2i√5) and (7x + 2i√5). Then the correct option is B.
What is Algebra?Algebra is the study of abstract symbols, while logic is the manipulation of all those ideas.
It is a method for dividing a polynomial into pieces that will be multiplied together. At this moment, the polynomial's value will be zero.
The expression is given below.
⇒ 49x² + 20
The expression can be written as,
⇒ 49x² - 20i²
Simplify the expression, then we have
⇒ 49x² - 20i²
⇒ (7x)² - (2i√5)²
⇒ (7x - 2i√5)(7x + 2i√5)
The factored form of the expression 49x² + 20 will be (7x - 2i√5) and (7x + 2i√5). Then the correct option is B.
More about the Algebra link is given below.
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Related Questions
A point has the coordinates (0, k).
Which reflection of the point will produce an image at the same coordinates, (0, k)?
a reflection of the point across the x-axis
a reflection of the point across the y-axis
a reflection of the point across the line y = x
a reflection of the point across the line y = –x
Answers
Using reflection concepts, it is found that the correct option is:
a reflection of the point across the y-axis---------------
The rule for a reflection of a point across the x-axis is: [tex](x,y) \rightarrow (x,-y)[/tex], thus [tex](0,k) \rightarrow (0,-k)[/tex]The rule for a reflection of a point across the y-axis is: [tex](x,y) \rightarrow (-x,y)[/tex], thus [tex](0,k) \rightarrow (-0,k) = (0,k)[/tex]. This is the correct option.The rule for a reflection of a point across the line y = x is: [tex](x,y) \rightarrow (y,x)[/tex], and thus, [tex](0,k) \rightarrow (k,0)[/tex].The rule for a reflection of a point across the line y = -x is: [tex](x,y) \rightarrow (-y,x)[/tex], and thus, [tex](0,k) \rightarrow (-k,0)[/tex].A similar problem is given at https://brainly.com/question/15196246
Answer:
b
Step-by-step explanation:
Where in the real-world is the Pascal Triangle used? Provide an example.
Answers
Answer:
There are many colored pebbles to choose from out of the driveway. Karmin could not decide what one he wanted for his school project. So he took the best looking 4 from the driveway. 3 of them are now his backups.
You use this tequnic (sorry I can't spell) almost everyday. When ever you think about how much of something to take, you could be using this Pascal Triangle.
I hope this helped.
Leroy wants to buy a new racing bicycle that costs $168. To earn money, he can either do yardwork for his grandmother or babysit his brother and sister. He earns $24 for 3 hours of yardwork and he earns $48 for 4 hours of babysitting. How much longer will it take him to earn the money if he only does yardwork for his grandmother?
______ hours
PLEASE HELP DUE AT 11:59 PLEASE
Answers
Answer:
7 hours
Step-by-step explanation:
This is because 24/3=8
48/4=12
168/12=14
168/8=21
21-14=7
It take him 7 hours to earn the money if he only does yardwork for his grandmother.
What is the unitary method?The unitary method is a method for solving a problem by the first value of a single unit and then finding the value by multiplying the single value.
If an event can occur in m different ways and if following it, a second event can occur in n different ways, then the two events in succession can occur in m × n different ways.
Given that Leroy wants to buy a new racing bicycle that costs $168. He earns $24 for 3 hours of yardwork and he earns $48 for 4 hours of babysitting.
We need to find the time take to earn the money if he only does yardwork for his grandmother.
Thus, $24 for 3 hours of yardwork
24/3=8
Again, $48 for 4 hours of babysitting.
48/4=12
Now, 168/12=14
168/8=21
The time difference is;
21-14=7
Learn more about the unitary method, please visit the link given below;
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What is the value of 6x2 when x = 1.5?
Round to the tenths place
pls help
Answers
Answer:
13.5
Step-by-step explanation:
6 x^2
Let x= 1.5
6 ( 1.5) ^2
6 *2.25
13.5
the volume of a cube is 125m find it's side
Answers
Answer:
41.6666666667m ( round to nearest whole number if you need to) -> 42m
Step-by-step explanation:
To find the volume
You multiply the length, width, and height. ( V= LxWxH)
So, divide 125 by 3 and you get 41.6666666667.
To check your answer: 41.6666666667 times 3 and you get 125.
I HOPE THIS HELPS YOU!! :)
Juan's cell phone company charges $35 a month for phone service plus
$0.50 for each text message. How many text messages does Juan send in a
month if his bill was $52?
Answers
Answer:
Juan sends 34 text messages.
Step-by-step explanation:
$52-$35= $17
17 dollars / .50 = 34 messages
One number is nine more than another number.if the sum of the number is 65 ,find both numbers
Answers
Answer:
The first number is 28 the number nine more is 37
Hope this helped!
Why would you need inequalities?
plz, help me write a paragraph answering this question ^^^
I really really need help
I will mark brainiest or whatever just plz plz plz help me
has to be at least 3 sentances
Answers
Answer:
An inequality is a mathematical expression that contains inequality signs. For example, y≤ 12x is an inequality. Inequalities are used to tell us that an expression is either larger or smaller than another expression. Equations and inequalities can contain both variables and constants.
Step-by-step explanation:
WILL MARK BRANLIEST
1. Solve the inequality for x
-4x + 6 < 50
Answers
Answer:
The answer is -11
Step-by-step explanation:
subtract 6 from both sides.
divide both sides by the negative 4
Simplify 44/-4x
which gives you x= -11
Write an equation in slope-intercept form of the line with a y-intercept of -6 and is parallel to a line that is perpendicular to 5x + 6y - 13 = 0
Answers
Answer:
y= −5/6 x+ 13/ 6
Step-by-step explanation:
I think tis the type of answer your looking for let me know if it's not
Trey deposits $8000 into an account that pays simple interest at a rate of 5% per year. How much interest will he be paid in the first 4 years
6
Answers
Answer:
1600
Step-by-step explanation:
You want to calculate the interest on $8000 at 5% interest per year after 4 year(s).
The formula we'll use for this is the simple interest formula, or:
Where:
P is the principal amount, $8000.00.
r is the interest rate, 5% per year, or in decimal form, 5/100=0.05.
t is the time involved, 4....year(s) time periods.
So, t is 4....year time periods.
To find the simple interest, we multiply 8000 × 0.05 × 4 to get that:
The interest is: $1600.00
Usually now, the interest is added onto the principal to figure some new amount after 4 year(s),
or 8000.00 + 1600.00 = 9600.00. For example:
If you borrowed the $8000.00, you would now owe $9600.00
If you loaned someone $8000.00, you would now be due $9600.00
If owned something, like a $8000.00 bond, it would be worth $9600.00 now.
Alex and Freddy collect stamps. The number of stamps in Alex’s collection is in ratio 3:5 to the number of stamps in Freddy’s collection. If Freddy gives Alex 10 stamps, the ratio will change to 7:9. How many stamps are in both collections together?
Answers
the new ratio is 7 to 9, so we have the equation: (3x+10)/(5x-10)=7/9
9(3x+10)=7(5x-10)
27x+90=35x-70
160=8x
x=20
So Alex has 3*20=60 stamps while Freddy has 5*20=100. Together they have 160
Which could be the missing first term of the expression that, when fully simplified, would be a binomial with a degree of 4? Select three options.
________ – 5xy3 + 9x2y
0
5xy3
9x2y
8y4
4xy3
Answers
Answer:
Yo The answer is A,C,E or 0, 9x2y, and 4xy3
Step-by-step explanation:
Got it right on Edge. Good luck
Answer: A, C, E
Step-by-step explanation:
Why is 25 a composite number? (1 point)
It is odd.
OIt has more than two factors.
O All of its factors are prime numbers.
It is not divisible by any number except one and itself.
Answers
Answer:
it has more than 2 factor
Answer:
I think its b I'm pretty sure
A cell phone company charges $15 for 100 minutes. What is the cost per minute? Round to the nearest cent.
Answers
Answer:
.15 dollars per minute.
Step-by-step explanation:
Answer:
.15 for one minute to you just had to divide 15÷100
helpppppp I'll give you brainy est
Answers
Answer:
Put those equations into desmos
Step-by-step explanation:
Determine the intercepts of the line.
x-intercept(_,_)
y-intercept(_,_)
Answers
Answer:
the x-intercept is (-10, 0) the y-intercept is (-45, 0)
Answer:
X intercept is (-10,0)
Y intercept is (0,-40.5)
Step-by-step explanation:
Hope this helps.
Dilate line f by a scale factor of one half with the center of dilation at the origin to create line f'. Where are points A' and B' located after dilation, and how are lines f and f' related?
(A) The locations of A' and B' are A' (0, 2) and B' (0, 0); lines f and f' intersect at point A.
(B) The locations of A' and B' are A' (0, 1) and B' (1, 0); lines f and f' are parallel.
(C) The locations of A' and B' are A' (0, 0) and B' (2, 0); lines f and f' intersect at point B.
(D) The locations of A' and B' are A' (0, 2) and B' (2, 0); lines f and f' are the same line.
Answers
Answer:
B. The locations of A' and B' are A' (0, 1) and B' (1, 0); lines f and f' are parallel.
Step-by-step explanation:
Took the test
Find the value of x that makes m ∥ n.
Answers
Answer:
x=60
Step-by-step explanation:
X+2x=180degree because it is co interior angle
3x=180
X=180/3
X=60.
Verification
X+2x=180
60+2(60)=180
60+120=180
Daniel is looking at two different credit card offers. Credit Card A will give him an APR of 22.45%. Credit Card B will offer will be 1.25% each month. Which the better deal?
Answers
Answer:
Credit card B is a better deal
Step-by-step explanation:
in order to compare both credit cards, we must either convert the APR into a monthly rate or the monthly rate to APR.
convert credit card A's APR to monthly rate:
= 22.45% / 12 ≈ 1.87%, which is higher than 1.25%, so credit card B is better
OR
convert credit card B's monthly rate to APR:
= 1.25% x 12 = 15%, which is lower than 22.45%, so credit card B is better
Solve
(Very easy 6th grade math)
Answers
Answer:
D
Step-by-step explanation:
Answer:
Number 3 because it is closet the 12.
Step-by-step explanation:
What is the slope of the line shown below?
Answers
Answer:
y=-1/5x+3 or slope = -1/5
Step-by-step explanation:
Are these congruent by SSS, SAS, AAS, ASA?
Answers
Answer:
SAS (Side Angle Side)
Step-by-step explanation:
It is SAS because both triangles are congruent due to 2 congruent sides and one congruent angle, thus being SAS.
i am just going to give points away pls give me brainlyest
Answers
Answer:
Okay will do!!
Step-by-step explanation:
what are the best "never have i ever" questions? please give some good ones! (and don't report!!! i'm giving y'all 50 points ❤️) tysm
Answers
Answer:
never have i ever told my best friends boyfriend that she is cheating on him so i could get with him.../
(she was tho)
Step-by-step explanation:
puts finger down
Fine the values of x and y
Answers
Answer:
x=5 and y=1
Step-by-step explanation:
Describe the nature of the roots for the equation
49x2– 28x +4 = 0
Answers
Answer:
The roots of the equation is real and repeated
Step-by-step explanation:
Here, we want to describe the nature of the roots of the given quadratic equation
To get the nature of the roots, we find the discriminant of the equation
The discriminant is;
b^2 - 4ac
In this case, b = -28 , a = 49 and c = 4
The discriminant is thus;
-28^2 - 4(49)(4)
= 784 - 784 = 0
Since the discriminant is zero, this means that the quadratic equation has real roots which are the same
What is the equation of the line that passes through the point (5,6) and has a slope of 2 ?
Answers
Answer:
y = 2x - 4
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Here m = 2, thus
y = 2x + c ← is the partial equation
To find c substitute (5, 6) into the partial equation
6 = 10 + c ⇒ c = 6 - 10 = - 4
y = 2x - 4 ← equation of line
what is the absolute value of -2 and 2
Answers
Answer:
2
Step-by-step explanation:
since absolute value is the length that a number is away from 0, an absolute value can never be negative. 2 and -2 are both 2 spots away from 0.
Hi I need this for Geometry im also posting more questions to this same triangle on my account if you don't mind answering them. Thank you! It would really help since I'm not doing well in this class!
Answers
Answer:
a reflection across line bc
Step-by-step explanation:
maybe, I think so
