Answer:
The correct answer is "[tex]64*x^2 - 16[/tex]".
Step-by-step explanation:
The product [tex](8*x - 4)*(8*x + 4)[/tex] is a notable product, which happens when we have the product of the sum of two values with the subtraction of these same two values. In cases like this the answer will always be the first term squared minus the second term squared, therefore we have:
[tex](8*x - 4)*(8*x + 4) = 64*x^2 - 16[/tex]
The correct answer is "[tex]64*x^2 - 16[/tex]".
Answer:
64x^2 -16
took the test
The table shows ordered pairs of the function . What is the value of y when ? A 2-column table with 6 rows. The first column is labeled x with entries negative 3, negative 1, 1, 4, 8, 10. The second column is labeled y with entries 14, 10, 6, 0, question mark, negative 12. –20 –8 8 48
Answer: b?
Step-by-step explanation:
I think it b on edg.
The table of ordered pair is an illustration of a linear function.
The value of y when x = 8 is -8
From the table (see attachment), we have the following highlights
As x increases by 2, y decreases by 4As x decreases by 2, y increases by 4When x = 10, y = -12
So, when x decreases by 2 (to 8), the value of y will increase by 4 (to -8).
Hence, the value of y when x = 8 is -8
Read more about ordered pairs at:
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4(-8x + 5) -(-33x -26)
Find the range of p in equation p(x+1) (x-3)=x-4p-2 has no real roots.
Answer:
[tex]\displaystyle p > \frac{1}{4}[/tex].
Step-by-step explanation:
Expand the left-hand side of this equation:
[tex]p\, (x + 1)\, (x - 3) = p\, \left(x^2 - 2\, x - 3\right) = p\, x^2 - 2\, p\, x - 3\, p[/tex].
Collect the terms, so that this quadratic equation is in the form [tex]a\, x^2 + b\, x+ c = 0[/tex]:
[tex]p\, x^2 - 2\, p\, x - 3\, p = x - 4\, p - 2[/tex].
[tex]p\, x^2 - (2\, p + 1)\, x + (p + 2) = 0[/tex].
In this equation:
[tex]a = p[/tex].[tex]b = -(2\, p + 1)[/tex].[tex]c = p + 2[/tex].Calculate the quadratic discriminant of this quadratic equation:
[tex]\begin{aligned}b^2 - 4\, a\, c &= (-(2\, p + 1))^2 - 4\, p\, (p + 2) \\ &= 4\, p^2 + 4\, p + 1 - 4\, p^2- 8\, p = -4\, p + 1\end{aligned}[/tex].
A quadratic equation has no real root if its quadratic discriminant is less then zero. As a result, this quadratic equation will have no real root when [tex]-4\, p + 1 < 0[/tex]. Solve for the range of [tex]p[/tex]:
[tex]\displaystyle p > \frac{1}{4}[/tex].
Please answer correctly !!!!! Will mark brainliest !!!!!!!!!!!
Answer:
9 degrees Celsius
Step-by-step explanation:
I graphed the function on the graph below to find the maximum of the parabola. The maximum is at (9,200), which means at 9 degrees Celsius, there are 200,000 fish.
The temperature at which there will be maximum number of fishes is given by the point (9, 200), is it is 9 degrees.
Given data:
To find the temperature that will result in the maximum number of fish, determine the x-value (temperature) at the vertex of the quadratic function.
The given function is P(x) = -2(x - 9)² + 200, where P(x) represents the fish population in thousands and x represents the water's temperature.
The general form of a quadratic function is y = a(x - h)² + k, where (h, k) represents the vertex of the parabola.
The vertex form of the function is P(x) = -2(x - 9)² + 200.
Comparing this to the general form, the vertex of the parabola is at the point (9, 200).
Hence, the temperature that will result in the maximum number of fish is 9 degrees (the x-value of the vertex).
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Someone answer the whole thing fast plz
Answer:
y = 2x + 54
Step-by-step explanation:
slope of equation:
(y2-y1)/(x2-x1)
= (72-58)/(9-2)
= 14/7
= 2
y = 2x + b
58 = 2(2) + b
58 = 4 + b
b = 54
A right cone has an altitude of 4 units and a base diameter of 6 units. What is its lateral area?
Answer: 31.41 square units
Step-by-step explanation:
Hi, to answer this question we have t apply the next formula:
Lateral area of a right cone = π x slant height x radius
Radius = diameter /2 = 4 /2 = 2 units
To find the slant height:
Since the altitude, slant and radius forms a right triangle we have to apply the Pythagorean Theorem:
c^2 = a^2 + b^2
Where c is the hypotenuse of the triangle (in this case the slant) and a and b are the other sides.
Replacing with the values given:
c^2 = 4^2 + 3^2
c^2 = 16 +9
c^2 = 25
c = √25
c = 5 units (slant)
Back with the Lateral area formula:
Lateral area of a right cone (LA) = π x slant height x radius
LA = π x 5 x 2 = 31.41 square units
Pls HElp what is it
want Brainiest
Answer:
I have never done this before so I can't say this is the right answer and I also never used this but this is what I got⬇️
Step-by-step explanation:
so the graph shows car A and car B so I connected car B and A to the numbers down bellow and Car A got to 4mL and then I connected car B and it got to 5ML again I can't say this is the right answer
Please help! Correct answer only, please! I need to finish this assignment this week Consider the matrix shown below: A. B. C. D. Which matrix below represents 3 X 3 Identity Matrix (LaTeX: I_{3} I 3 ). A. B. C. D.
Answer:
Option D is correct
Step-by-step explanation:
The identity matrix is the matrix, in which, the diagonal elements are 1 and all of non-diagonal elements are 0.
Hope this helps!
Which of the following statements are true? (Check all that apply.)
∠1 = 35°
∠3 and ∠4 are vertical angles.
∠2 is a right angle.
∠1 and ∠4 form a straight angle.
∠4 = 145°
Answer:
1 and 4 form a straight angle
Step-by-step explanation:
just this one, all other options make no sense
Answer:
Simplified answer is A and D.
Step-by-step explanation:
Some vinyl records (let's call them "Oldies") rotate at the rate of 78 rpm (revolutions per minute).
The chart below shows revolutions per minute for three different tracks on another type of vinyl record (called "Goodies").
Which has a greater rate of revolutions per minute, Oldies or Goodies?
Track 1 Track 2 Track 3
Minutes 3 4 5
Revolutions 135 180 225
Choose 1 answer:
Choose 1 answer:
(Choice A)
A
Oldies
(Choice B)
B
Goodies
(Choice C)
C
the rates are the same
Answer:
(A ) Oldies
Step-by-step explanation:
Goodies
First, we determine the revolution rate per minute of the Goodies.
Revolution rate per minute [tex]=$Number of Revolutions \div $Number of Minutes[/tex]
[tex]=\dfrac{135}{3} =\dfrac{180}{4} =\dfrac{225}{5}=45$ revolutions per minute[/tex]
Since the oldies have a rate of 78 revolutions per minute;
78 rpm. >45 rpm.
We therefore conclude that the Oldies has a greater rate of revolutions per minute.
The correct option is A.
- The slope of the line below is į and
the y intercept is 4. What is the slope-
intercept equation of the line?
Answer:
y=jx+4
Step-by-step explanation:
The equtaion for slope intercept is y=mx+b. We know that the m is slope and for our problem, the slope is j. The x is always added to the equation. Also the b is the y intercept. For this problem, the y intercept is 4.
I need help What is 3x - 4 = 13
Answer:
5 2/3
Step-by-step explanation:
3x-4=13
+4 +4
Add 4 to -4 and 13.
If you add a positive # to a negative one you get a positive number so -4+4 is 0
3x=17
divide 3 and 17
you get 5 2/3
can someone help me with this help me find x and y
Answer:
x = 10
y = 20
Step-by-step explanation:
In a 30 60 90 triangle, all triangles follow the same pattern of side lengths.
The short leg, x, will be equal to the coefficient of the [tex]\sqrt{3}[/tex]
The hypotenuse will be twice the value of x
Find the selling price of an $70 item after a 30% markup.
Answer:
70/100*130= $91
Step-by-step explanation:
Answer:
$91
Step-by-step explanation:
CP= $70
Markup= 30%
SP= $70 +30%= $70*1.3= $91give 2 examples of animal fibre and plant fibre
Answer:
Step-by-step explanation:
Cashmere and mohair fibers are produced from goats
seeds, fruits, stems, and leaves all produce natural plant fibers
The total number of combinations are ______
Answer:
a) 18
Step-by-step explanation:
There are three possible outcomes for every amount of GB and since there are 6 different quantities of GB then we get:
6×3=18 possible outcomes.
what is 20 plus 20.
Answer:
Step-by-step explanation:
40
Answer:
40
Step-by-step explanation:
20
20
+-----
zero plus zero is zero
two plus two is four
40
product -12 and sum -1 what are the factors
Answer:
the two numbers are 3 and -4
Step-by-step explanation:
Product: xy = -12, or x = -12/y
Sum: x + y = -1, or -12/y + y = -1
Let's multiply all three terms by y to eliminate the fractional terms:
-12 + y^2 = -y, or
y^2 + y - 12 = 0
This factors into (y + 4)(y - 3) = 0, yielding y = -4 and y = 3.
Earlier we found that x = -12/y. Here, if we choose y = -4, x = -12/(-4) = 3
and so the two numbers are 3 and -4. Note that 3(-4) = -12, as required, and that 3 - 4 = -1, also as required.
0.441 to its standard form
Answer:
erm
Step-by-step explanation:
4.41 times 10^-1
What is the slope of the line that passes through the points (-2,-5) and
(-3, -6)? Write your answer in simplest form.
Answer:
slope = 1
Step-by-step explanation:
Calculate the slope m using the slope formula
m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
with (x₁, y₁ ) = (- 2, - 5) and (x₂, y₂ ) = (- 3, - 6)
m = [tex]\frac{-6-(-5)}{-3-(-2)}[/tex] = [tex]\frac{-6+5}{-3+2}[/tex] = [tex]\frac{-1}{-1}[/tex] = 1
Solve for h. -98 = -7h
Answer:
h=14
Step-by-step explanation:
Which solid is a triangular prism? A shape with a triangle base and 3 triangular sides. A shape with a rectangular base and 4 triangular sides. A shape with a triangle base and 3 triangular sides. A shape with a rectangular base, 2 triangular sides, and 2 rectangular sides.
Answer:
The answer is A shape with a triangle base and 3 triangular sides.
Answer:
D
Step-by-step explanation:
Good Luck!
A line is drawn through (-4, 3) and (4, 3). Which describes whether or not the line represents a direct variation?
O The line represents a direct variation because
O The line represents a direct variation because it is horizontal.
O The line does not represent a direct variation because it does not go through the origin.
O The line does not represent a direct variation because -4(3) = 4(3)
Answer:
third option
Step-by-step explanation:
A graph representing direct variation must pass through the origin.
The graph through (- 4, 3) and (4, 3) is a horizontal line and does not go through the origin.
Thus the line does not represent a direct variation because it does not go through the origin.
-4.5(r-2)+3.3 please help
Answer:
-4.5r + 12.3
Step-by-step explanation:
Multiply -4.5(r-2)
-4.5r + 9 + 3.3
Add 9+3.3=12.3
-4.5r + 12.3
Hope this helps plz mark brainliest
Can someone please help me with my math question!!
Answer:
x(12x^2+18x)
Step-by-step explanation:
x(12x^2+18x)=12x^(3)+18x^2
20 POINTS AND BRAINLIEST !! PLEASE ANSWER THIS QUESTION !!
Answer:
1,3
Step-by-step explanation:
they meet at 1,3 I assume that what ur looking for
The mean age of 4 women in an office is 27 years old. The mean age of 4 men in an office is 33 years old. What is the mean age (nearest year) of all the people in the office?
Answer:
30 years
Step-by-step explanation:
Given;
Average age of women = 27 years
Average age of men = 33 years
Number of women = 4
Number of men = 4
Total number of people in the office = 4+4 = 8
Sum of age of women = mean × number = 27 × 4 = 108 years
Sum of age of men = mean × number = 33 × 4 = 132 years
Total sum of age of people = 108 + 132 = 240 years
Mean age = total sum of age of people in the office/number of people in the office
Mean age of people = 240/8 = 30 years
Find the inverse for each relation.{ (1, -3), (-2, 3), (5, 1), (6, 4) }
Please answer correctly !!!!!! Will mark Brainliest answer !!!!!!!!!!!!!!
Answer:
See below
Step-by-step explanation:
[tex] (x + 15)^2 - 10 = 0\\
(x + 15)^2 = 10 \\
(x + 15) = \pm\sqrt {10} \\
x + 15 = \pm 3.16227766\\
x + 15 = \pm 3.16\\
x = \pm 3.16 - 15\\
x = 3.16 - 15 \: or \: x = - 3.16 - 15\\
x = - 11.84\: or \: x = - 18.16\\
lesser\: x = \boxed{-18.16}\\\\
greater\: x = \boxed{-11.84}\\\\[/tex]
You want to have your carpet cleaned in your living room which measures 12’ by 14’. Company A charges $2.75 per square foot and company B charges $450 per room. Which company should you hire to get a better deal?
Answer: Company B
Step-by-step explanation:
First we must calculate the area of the carpet. Variable A represents area.
[tex]14*12=A[/tex]
[tex]A=168[/tex]
So the area of the carpet is 168 square feet.
To find what company A will charge we will multiply the 168 by 2.75 they charge per square foot.
[tex]168*2.75= Company A\\[/tex]
Company A charges, $462, while Company B will charge $450 for the one room.
This means Company B has the better price.