Answer:
d
Step-by-step explanation:
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
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)
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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.
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Steven is cutting an 11 ft piece of lumber into three pieces to build a triangular garden. Which diagram shows a way in which he can cut the wood to create three pieces that can form a triangle?
A piece of wood is cut into 3 pieces. The pieces are: 2 feet, 2 feet, and 7 feet.
A piece of wood is cut into 3 pieces. The pieces are: 1 foot, 4 feet, 6 feet.
A piece of wood is cut into 3 pieces. The pieces are: 3 feet, 2 feet, and 6 feet.
A piece of wood is cut into 3 pieces. The pieces are: 3 feet, 4 feet, 4 feet.
Answer:
D: A piece of wood is cut into 3 pieces. The pieces are: 3 feet, 4 feet, 4 feet.
Step-by-step explanation:
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A piece of wood is cut into 3 pieces. The pieces are: 3 feet, 4 feet, 4 feet is the way to create three pieces that can form a triangle.
What is a Triangle?This is referred to a polygon which has three edges and vertices with its longest side being the hypotenuse.
Triangle inequality theorem states that the sum of the lengths of any two sides of a triangle is greater than the length of the third side.
3+4> 4
4+4>3
4+3>4
Hence option D is the correct choice.
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Charlie wants to order lunch for his friends. He'll order 6 sandwiches and a $3 kid's meal for his little brother. Charlie has $27. How much can he spend on each sandwich if they are all the same price?
Answer:
$4
Step-by-step explanation:
27 - 3 = 24
24 ÷ 6 = 4
have a goodnight! :)
Answer:
a) Answer: $4 or less
b) Inequality: 6x + 3 ≤ 27
Step-by-step explanation: took the quiz and got it right!
Find the Area of the triangle formed by the solid lines.
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[tex]area = \frac{1}{2} \times 7 \times 6 \\ [/tex]
[tex]area = 7 \times 3[/tex]
[tex]area = 21[/tex]
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4 out of 5 dentists prefer Crest. If they asked 30 dentists what tooth paste they prefer, how many did NOT PREFER Crest.
Answer:
24 would prefer CREST
6 woul NOT prefer Crest
Step-by-step explanation:
4:5=x:30
Which of the following represents the solution of the inequality 2x2 + 7x - 45 0?
A {x|x € R, -4
B (-6,-4)u(,)
c {xlx € R, -4 5x5}
D
-5 -4 -3 -2 -1
0 1 2 3
Answer:b
Step-by-step explanation:
How did you find jeff's distance for 3\4 hour?
In the equation 9x2 - 4 = (px - t)(px + t), p and t are constants. What is the value of p + t?
Answer: 2
Step-by-step explanation:
roast me!!!!!!!!!!!11
Answer:
bread
Step-by-step explanation:
cuz why not
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Tell whether the lines through the given points are parallel, perpendicular or neither. You must have a work that supports your answer
non examples of absolute value
Answer:
A non-example of absolute value is -3 = -3
How much money must be deposited to earn $219 in simple interest in 8 years at an annual rate of 6.2%?
Answer: $1,147.20.
Step-by-step explanation:
The total amount accrued for principal plus interest in the calculation simple interest
= principal * (1+ rate * number of years)
= $800 *(1+ 6.2% * 7)
= $1,147.20.
Hopefully his helped, if not HMU and I will try my best to get u a better answer! :)
Help me please......
Answer:
Approx. 73°
Step-by-step explanation:
Draw the solution for 4(2+10) when using the distributive
property.
due in 5 minutes
Who would have first made this statement while observing cork under a microscope?
"The cork looks like little rooms, or cells.”
A Hooke
B Schleiden
C Leeuwenhoek
D Virchow
Answer:
Hooke
Hope This Helps!
Answer:
Hooke
Step-by-step explanation:
pls dont get mad if im wrong im just here to help :)
Andre and Elena are solving this system of equations.
Y=3x
Y=9x-30
Andre’s first step is to create a new system:
3y=9x
Y=9x-30
Do you agree with either first step?
A-both strategies work
B-only the first strategy works
C-only the second strategy works
D-neither strategies work.
Answer:
A-both works
Step-by-step explanation:
one can simply sub into the second equation from the first step's one and remove an unknown, making it easy to solve
Could someone tell me why this is x=9?
(Format)Find The Equation of each line in slope y intercept form.
The line passes through(9,5) and is parallel to the line 4x + 3 = 0
An insect is 3 inches (in.) long. What is the length, to the nearest hundredth of a centimeter (cm), of the insect? Note: 1 inch = 2.45 centimeters
1 point
Answer:
find actual dimensions from scale models, ... \begin{align*}\frac{2}{3}\end{align*}, 2:3, and "2 to 3" are ratios. ... The unit scale on a map may read \begin{align*}\frac{1}{2}\ inch=100 ... A line 4 inches long would represent an actual line of 800 feet. ... Color, Highlighted Text, Notes ...
Step-by-step explanation:
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Which expressions simplify to a rational answer?
Select each correct answer.
Answer: the answers are the second one and the last one
Step-by-step explanation:
please help me with this
The price of n tickets to a concert is is 9n + 6 dollars. What is the cost, in dollars, for 8 tickets to the play?
The cost for 8 tickets to the play is
Answer:
78
Step-by-step explanation:
do 9 x 8= 72
then 72 + 6= 78
identify the constant rate of change
Is y=3x3-3 linear or non linear
Answer:
it is linear
Step-by-step explanation:
o
1) Which below graph represents direct variation?
GRAPH A
or
GRAPH B
Why?
Answer:
Graph B
Step-by-step explanation:
The equation for direct variation is y=kx, with k being the slope. As you can see from the equation, there is no y-intercept. In graph A, you would add 8; therefore, it does not meet the requirements for direct variation.
Yoko is putting money into a savings account. She starts with $350 in the savings account, and each week she adds $40.
Let S represent the total amount of money in the savings account (in dollars), and let W represent the number of weeks Yoko has been adding money. Write an
equation relating S to W. Then use this equation to find the total amount of money in the savings account after 18 weeks.
Answer:
s=40w+350; s=$1,070
Step-by-step explanation:
Our equation looks like this:
s=40w+350
Next we plug in 18 for w, our number of weeks.
s=40(18)+350
Multiply the 40 and 18.
s=720+350
Add the 350 and 720.
s=1,070
Add a dollar sign to say that the amount is in dollars.
s=$1,070
HTH :)
The equation relating the total amount of money in the savings account, S and the number of weeks Yoko has been adding the money, W is given by S = 350 + 40W.
Total amount of money in the savings account after 18 weeks is
What is an Equation?An equation is a statement in mathematics which includes two algebraic expressions or numbers relating with an equal sign.
There are left hand side and right hand side for every equation and may or may not include variables.
S is the total amount of money in the savings account of Yoko.
W is the number of weeks Yoko has been adding money.
Initial money = 350
After 1 week total money = 350 + (1 × 40)
After 2 weeks, total money = 350 + (2 × 40)
It goes on like this until the last week.
So after W weeks total money = 350 + (W × 40)
Total amount of money in the savings account after W weeks, S = 350 + 40W.
After 18 weeks, S = 350 = (40 × 18) = $1070
Hence the equation relating W and S is, S = 350 + 40W.
Total amount of money after 18 weeks = $1070
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Can some help me please!? I don't understand how to do it! (15PTS)
A) Quadratic variation. This is because the equation is in the form y = kx^2 with k = 1/8.
B) Inverse variation. Recall that inverse variation is in the form y = k/x which we can solve to xy = k. Here we have k = 9.
C) Direct linear variation. This equation is in the form y = kx, which is also known a direct proportional relationship because k = y/x. In this case, k = 1/11.
What is the GCF of 40 and 88?
Answer:
GCF(48,88)= 8
Step-by-step explanation:
48 and 88 can be both divided by 8 and that is there greatest factor they can be divided by.
Hope this helps :3
Please help Look at image
I’m struggling
Answer: m is — 1
Step-by-step explanation:
Explanation is in the attached image
Expand
4+12m-4(7k+8)
Answer:
−28 + 12 − 28
Step-by-step explanation:
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Mary charges $45 for 2 hours of gymnastics lessons. Cara charges $60 for 3 hours of lessons. Who offers the better deal?
Cara is a better deal with 60 dollars for 3 hours. 3/60= 20 dollars per hour for Cara. 45/2= 22.50 dollars per hour for Mary