Answer:
(2x + y)(2x - y)
Step-by-step explanation:
1. Simplify the square 4x²:
(2x)² - y²
2. Apple the difference of two squares formula x² - y² = (x + y)(x - y):
(2x + y)(2x - y)
hope this helps!
x²+x+7=0
O a
The discriminant is -29.
Because the discriminant is less than 0, the two roots are complex.
The discriminant is 1.
Because the discriminant is greater than 0 and is a perfect square, the two roots are real and rational.
Oc
The discriminant is -27.
Because the discriminant is less than 0, the two roots are complex.
The discriminant is 27.
Because the discriminant is greater than 0 and is a perfect square, the two roots are real and rational.
Ob
Od
Answer:
See below ~
Step-by-step explanation:
Finding the discriminant
√b² - 4ac√(1)² - 4(1)(7)√-27⇒ The discriminant is -27.
⇒ Because the discriminant is less than 0, the two roots are complex.
Find (f•g) (x) if f(x)=3x^2 and g(x)=5-x
Answer:
f(g(x))=3x^2-30x+75
Step-by-step explanation:
We want to find the value of f(x) when x is equal to g(x)
So we can substitute the value of g(x) into the f(x) equation
f(g(x))= 3(5-x)^2
f(g(x))= 3(25-10x+x^2)
f(g(x))=3x^2-30x+75
Completely simplified version: 3(x-5)^2
What’s the highest common factor of 36 and 45?
Answer:
9
Let's view the list of factors 36 and 45 have, starting with 36
1, 2, 3, 4, 6, 9, 12, 18, 361, 3, 5, 9, 15, 454 × 9 = 36
5 × 9 = 45
That said, the greatest common factor of 36 and 45 is 9
Learn with an example
A car rental agency has 4 vehicles available, of which 2 are coupes.
What is the probability that a randomly selected vehicle will be a coupe?
Simplify your answer and write it as a fraction or whole number.
P(coupe)
=
Submit
Answer:
50% or 1/2
Step-by-step explanation:
There are four cars total and of which two are coupes, so the fraction would be 2/4 and simplified would be 1/2.
area of a regular polygon with a radius of 4
A = (n × s × a)2 A = ( n × s × a ) 2 , where n is the number of sides, s is the length of one side, and a is the apothe
A student will ask his classmates one survey question. Which of the following is a statistical question that should result in varied responses?
A.
What is the length of a yardstick in inches?
B.
What is the total number of inches in 3 feet?
C.
What is the total number of cups in 1 gallon?
D.
What is the number of gallons of water in a pool?
Answer:
D) What is the number of gallons of water in a pool?
Step-by-step explanation:
A statistical question consists of varied responses and not just 1 specific answer. For example, the first 3 questions only have 1 specific answer each, while the last question can vary depending on the size of the pool.
Look at the image below.
11
10
6
Find the area of the parallelogram,
square units
Answer:
60
Step-by-step explanation:
im so smart. its on khan academy.
Given the figure below, find the value of x and z.
Answer:
x=10, z=106
Step-by-step explanation:
vertical angles: 10x-26=74
10x=100
x=10
supplementary angles: 74+z=180
z=106
make x the subject from m=n+x/p
Answer:
x = p(m - n)
Step-by-step explanation:
Solve m=n+x/p for x. Start by eliminating the fraction: Multiply all three terms by p. Then we have mp = np + x, which is the same as x = mp - np, or
x = p(m - n)
The lengths of all sides are different in which type of triangle?.
Let's first consider all the different types of triangles:
Scalene Triangle: all side lengths of this triangle are of different lengthsIsosceles Triangle: the lengths of two of the three sides of the triangle are equalEquilateral Triangle: lengths of all the sides are equalWhat we are looking for:
⇒a triangle with all the sides of different length
The only triangle to fit that requirement is: Scalene Triangle
Hope that helps!
1. Which of the following shows the value of (4.3 x 10-7)(1.5 x 10-3) in scientific notation? a. 6.45 x 10-10 b. 64.5 x 10-9 C. 0.645 x 10-11 d. 645 x 10-8
The product of the expression in scientific notation is expressed as 6.45 * 10^-9
Scientific notationsThe standard scientific notation is expressed as:
A * 10^n
A is any value between 1 and 10
n is any integer
Given the product
(4.3 x 10-7)(1.5 x 10-3)
= (4.3 * 1.5)(10^-7 * 10^-3)
= 64.5 * 10^-10
= 6.45 * 10^-9
Hence the product of the expression in scientific notation is expressed as 6.45 * 10^-9
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A hot air balloom travels 18 miles in 3 hours. At this rate how many miles will the hot air balloon travel in 3/4 hour?
Answer:
4.5
Step-by-step explanation:
Find the amount of miles in 1 hour. 18/3=6
Now multiply 1.5x3=4.5
3/4=75
This is how i got 4.5 miles
(36√6 + 6^5/2 / 108×12)^2=6^n , then find the value of n?
[tex](\frac{36\sqrt{6}+6^{\frac{5}{2}}}{108\times12})^{2}=6^{n} \\ [/tex]
Thank you.....
Step-by-step explanation:
Given: [{36√(6) + 6^(5/2)} / (108×12)]² = 6ⁿ
Asked: Find the value of n = ?
EXPLANATION:
Given that:
[{36√(6) + 6^(5/2)} / (108×12)]² = 6ⁿ
⇛[{(6)² * (6)^(1/2) * (6)^(5/2}/(36 * 3 * 12)]² = 6ⁿ
⇛[{6² * 6^(1/2) * 6^(5/2)}/(36 * 36)]² = 6ⁿ
⇛[{6² * 6^(1/2) * 6^(5/2)}/(6*6 * 6*6)]² = 6ⁿ
⇛[{6² * 6^(1/2) * 6^(5/2)}/(6² * 6²)]² = 6ⁿ
⇛(6³⁻²)² = 6ⁿ
⇛(6¹)² = 6ⁿ
⇛6² = 6ⁿ
When an exponential has the same base on each side, then the exponents must be equal.
Therefore, n = 2.
Answer: The Value of “n” for the given problem is 2.
Suppose a jar contains 11 dimes, 21 nickels, and 12 pennies. Barbie selects a coin and puts it back in the jar and then Darren selects a coin from the jar. Is this a set of independent or dependent events?
Answer:
Independent
Step-by-step explanation:
Barbie selecting a coin and putting it back in has no effect on Darren selecting a coin from the jar, as the numbers of each coin never changed. So, both events are independent with neither relying on the other.
factor the polynomial
x^2y + x
Answer:
x(xy + 1)
Step-by-step explanation:
The two terms have the common factor x.
x²y + x = x(xy + 1)
simplify each expression 3(m-5)+m
Given that cos 63°≈ 0.454, enter the sine of a complementary angle.
sin
Answer:
[tex]\cos(63^\circ)[/tex] is the same as [tex]\sin(27^\circ)[/tex] by co-function identities
Step-by-step explanation:
Remember that complementary angles add up to 90°. The angle that i s complementary to 63° is 27°.
Also recall the co-function identities:
sin (90° – x) = cos xcos (90° – x) = sin xThis means that [tex]\cos(90^\circ-27^\circ)=\sin(27^\circ)\approx0.454[/tex].
help pls !!!!! will mark brainliest
Answer
The first option would be your answer.The probability would be 1/16 or 0.0625 or 0.063
Step-by-step explanation:
The number of stamps in a stamp collection can be modeled by the function y = 2x² + 13x + 45, where is the number of years since the collection was started and y is the number of stamps. After how many years did the stamp collection have 195 stamps?
Answer:
X=8 years, option F
Step-by-step explanation:
Answer
6 years
Step-by-step explanation:
The answer is 6 years
Which constant term would mean that the expression is completely factored? x2 – 3x
Answer:
answer is 10
Step-by-step explanation:
Please help! Will mark brainlyest. :)
Answer:
48
Step-by-step explanation:
base times hight times times 1/2
24X4X1/2
Answer: choice 4: 48
Step-by-step explanation:
to get the area of a triangle, you multiply the width times the height divided in half. So you get:
1. 24*4= 96
2. 96/2= 48
Find the measure of <1
Please answer ASAP will give brainliest
Answer: 70 degrees
Step-by-step explanation:
The measure of the angle created by a tangent and a chord is half the measure of the arc.
now look at the converse of the proceeding theoreman proof who we begin with the given that two lines of parallel instead of the given of the sum of the interior angles formed is 180° in the next diagram LM while AB and BC a transversials
Step-by-step explanation answer:
ABC Must be 180 degrees because we have formed a Triangle. Using the Triangle Angle Sum therom all angles within the triangle must add up to a 180 degrees hence 180s is needed for the triangle
What is the quadratic formula?
Answer:
Standard Form: y = a x 2 + b x + c y=ax^2+bx+c y=ax2+bx+c.
Factored Form: y = a ( x − r 1 ) ( x − r 2 ) y=a(x-r_1)(x-r_2) y=a(x−r1)(x−r2)
Vertex Form: y = a ( x − h ) 2 + k y=a(x-h)^2+k y=a(x−h)2+k.
Fatima is solving the equation 3x² - 6x +2=0 with the quadratic formula.
Which values could she use for a, b, and c?
O a = 3, b = -6, c = 2
O a = 3, b = -6, c = -2
O a = -3, b = 6, c = -2
O a = 3, b = 6, c = 2
Answer:
[tex]a=3,~ b = -6,~ c=2[/tex]
Step-by-step explanation:
[tex]\text{Compare}~ 3x^2 -6x +2 =0 ~\text{with the standard form of quadratic equation,}\\\\ax^2 +bx +c =0[/tex]
[tex]\sf what's\: the \:answer\:?[/tex]
[tex]4x+3(x-1)=67[/tex]
Answer:
x = 10
Explanation:
4(x) + 3(x-1) = 67
apply distributive method
4(x) + 3(x) -3(1) = 67simplify
7(x) - 3 = 67change side
7(x) = 67 + 3simplify
7(x) = 70divide both sides by 7
x = 10Bruno will spin the arrow on the spinner 2 times. what is the probability that the arrow will stop on c at least once? 19 29 13 59
The probability that the spinner will land on c at least once is 5/9
How to determine the probability?From the complete question, the probability that the spinner will not land on c when spun twice is:
P = 4/9
Using the complement rule, the probability that the spinner will land on c at least once is:
P' = 1 - P
This gives
P' = 1 - 4/9
Evaluate
P' = 5/9
Hence, the probability that the spinner will land on c at least once is 5/9
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Answer: 5/9
Step-by-step explanation: i took the test and passed
This table represents a quadratic function with a vertex at (1,2). What is the
average rate of change for the interval from x = 5 to x = 6?
х
у
1
2
2
3
3
6
4
4
11
תס
5
18
O A. 27
OB. 9
O C. 18
O D. 3
Answer:
9 -- B
Step-by-step explanation:
Hope this helps! Please let me know if you need more help or think my answer is incorrect. Brainliest would be MUCH appreciated. Also remember to rate answers to help other students, While leaving thanks to answers that help you. Have a great day!
The average rate of change for the interval from x = 5 to x = 6 is - 22.
What is quadratic function?A quadratic polynomial in mathematics is a polynomial of degree two in one or more variables. The polynomial function defined by a quadratic polynomial is known as a quadratic function.
Since, the quadratic function has a vertex at (1, 2),
Hence, the equation for the function can be written in vertex form as:
⇒ y = a(x - 1)² + 2
Where "a" is a constant that determines the shape of the parabola. To find the value of "a", we can use one of the other points on the parabola.
Let's use the point (2, 1):
1 = a(2 - 1)² + 3
1 = a + 3
a = - 2
So, the equation for the quadratic function is:
y = -2x² + 2
Now we can use this equation to find the average rate of change between x = 5 and x = 6. The value of the function at x = 5 is:
y = - 2 x 25 + 2 = - 48
The value of the function at x = 6 is:
y = -2 x 36 + 2 = - 70
The average rate of change between x = 5 and x = 6 is:
(y₂ - y₁) / (x₂ - x₁) = (- 70 - (-48)) / (6 - 1) = - 22
Therefore, the average rate of change for the interval from x = 5 to x = 6 is - 22
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Mr.Portillo says that he can solve 32 divided by 8 by thinking about 8 x ? =32. Why is this true?
Answer:
this is true because he knows that 8 times 4 is 32 then he will automatically know that 8 divided by 32 will be 4 since 8 was a factor.
Step-by-step explanation:
I suck at explaining stuff but yeah this is true bc two factors of a number divided by it will always be the other factor yk
Mike had two hundred fifty- eight dollars to spend on nine books. After buying them he had fifteen dollars. How much did each book cost?
Answer:
$27 per book
Step-by-step explanation:
258 - 9(books) = 15
258-15 = 243
243 / 9=27