The values of x that would result in the given expression being equal to 0 is -2, 6
Finding the solution to quadratic functionsGiven the following expression
f(x) = (x-6)(x+2)
If the function f(x) = 0, then;
(x-6)(x+2) = 0
x - 6 = 0 and x + 2 = 0
Determine the value of x
x = 6 and x = -2
Hence the values of x that would result in the given expression being equal to 0 is -2, 6
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Type the correct answer in each box. Use numerals instead of words. If necessary, use / for the fraction bar(s).
Consider the equation.
Write an equation in slope intercept form with the given information.
Goes through points (-2,-5) and (3,5)
Answer:
infinity 2 is the slope for these point .
Step-by-step explanation:
given points are
(-2,-5) and (3,5)
comparison to
(x1,y1) and (x2,y2)
here ,
[tex]slope = \frac{y2 - y1}{x2 - x1} [/tex]
slope= 5-(-5)/3-(-2)
slope =10/5
slope=2
glad to help you this may help you :)
please help me answer this matrices question ASAP
The value of a₃₂ is 7 , Option A is the correct answer.
What is a Matrix ?Matrix is an array or an arrangement of numbers or expression in rows and column format.
The matrix is given
For a matrix of size mxn , m is the row and n is the column of the matrix.
a₃₂ = This term means 3rd row and 2nd column of the matrix
which is 7
Therefore the value of a₃₂ is 7 , Option A is the correct answer.
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the interest paid for borrowing qn amount of money for 3yrs at the rate of 4%is n108 find the amount of the money borrowed
Answer:
$864.94
Step-by-step explanation:
So the amount of money over time can be given with an exponential function y=a(b)^x or more specifically y=a(1+r)^x where r is the growth rate (interest rate)
So the equation can be written as
[tex]m= P(1.04)^t[/tex] where m represents the amount of money over time, P represents the principle amount, and t represents time in years. Since we're given the amount of interest paid and not the total amount which includes the initial amount borrowed you have to subtract P from the equation. This will give us the equation that we'll use to find the initial amount
[tex]I = P(1.04)^t-P[/tex] where I represents the interest paid.
plug the values into the equation
[tex]108 = P(1.04)^3-P\\108 = P(1.124864) - P\\108 = 0.124864P\\\\864.941 = P[/tex]
Calculate 50% of 684 m.
Give your answer in metres (m).
Answer:
342 mStep-by-step explanation:
Calculate 50% of 684 m.
Give your answer in metres (m).
50% = 1/2
so
684 : 2 = 342 m
Step-by-step explanation:
50% of 684
50/100 × 684
342m ans
What is the factored form of 6n⁴ - 24n³ + 18n?
a.6n(n⁴+4n³+3n)
b.6n[n⁴ -4n³ +3n]
c.6n(n³-4n²+3)
d. 6n(n³ +4n²+3)
Answer:
answer is option C
Step-by-step explanation:
just take 6n as common and divine each value by it
The factored form of expression 6n⁴ - 24n³ + 18n is
6n (n² - 2n + 1) (n² - 2n + 3).
What is an expression?
An expression contains one or more terms with addition, subtraction, multiplication, and division.
We always combine the like terms in an expression when we simplify.
We also keep all the like terms on one side of the expression if we are dealing with two sides of an expression.
Example: so
1 + 3x + 4y = 7 is an expression.com
3 + 4 is an expression.
2 x 4 + 6 x 7 – 9 is an expression.
33 + 77 – 88 is an expression.
We have,
First, we can factor out the greatest common factor of the expression, which is 6n:
6n(n³ - 4n² + 3n)
Next, we can factor the expression inside the parentheses by grouping:
n³ - 4n² + 3n = n²(n-4) + 3(n-4) = (n²+3)(n-4)
Substituting this back into the original expression.
6n (n² + 3) (n - 4)
However, we can further simplify by noticing that the expressions
(n² - 2n + 1) and (n² - 2n + 3) are both equivalent to (n - 1)² + 1 and (n - 1)² + 2, respectively.
Thus,
The factored form can also be written as 6n [ (n - 1)² + 1 ] [ (n - 1)² + 2 ]
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[tex]\Large\text{HELP ASAP!!!!!}[/tex]
[tex]\boxed{\stackrel\circ\circ\boxed{\textbf{what is the sin of -4\pi /3??$}}\stackrel\circ\circ}[/tex]
[tex]\dfrac{\sqrt{~~} }{[~~]}[/tex] [tex]\text{that's what the answer should look like}[/tex]
[tex]\text{Spam will NOT be tolerated!!!!!}[/tex]
Step-by-step explanation:
Did you mean.
[tex] \text{what \: is \: the \:sin \: of } \: - \frac{4\pi}{3} \: ?[/tex]
[tex] \: [/tex]
[tex] = \sin( - \frac{4\pi}{3} ) [/tex]
[tex] = \sin( - \frac{4 \times 180 \degree}{3} ) [/tex]
[tex] = \sin( - \frac{4 \times \cancel{180} \degree}{ \cancel3} ) [/tex]
[tex] = \sin( - 4 \times 60 \degree) [/tex]
[tex] = \sin( - 240 \degree) [/tex]
[tex] = \sin(0 - 240 \degree) [/tex]
[tex] = \sin(360 \degree - 240 \degree) [/tex]
[tex] = \sin(120 \degree) [/tex]
[tex] = \frac{1}{2} \sqrt{3} \: \: \text{is \: the \: answer}[/tex]
A similarity transformation maps AABC to AJKL The measure of ZA of prelmage AABC Is 105°. The scale factor of the dilation in the similarity
transformation is 1.5. If ZA In the prelmage corresponds to ZJ in the image, what is m
a 70°
b 140°
c 105°
d 35°
its reserved.
Answer:
The answer is 105.
Step-by-step explanation:
help this homework and it geometry
1) Given
2) Segment addition postulate
3) Substitution property
4) Segment addition postulate
5) Transitive property of equality
What are the next three terms in the sequence 2, -4, -16, 32
Answer:
128, -256, -1024
Step-by-step explanation:
multiply 32 by 4, multiply 128 by -2, multiply -256 by 4
At a track meet, the height of John's high jump was within 6 inches of the track record of 76 inches. What is
the range of heights for John's jump?
The range:
[tex]{x|70\leq x\leq 82[/tex]
In this triangle, what is the value of x?
Enter your answer, rounded to the nearest tenth, in the box.
The value of angle x is 67 degree.
What is a Right Angled Triangle ?A right angled Triangle is a triangle with one angle as 90 degree.
It is given that the for the angle x , the base of the triangle is 28 ft.
The hypotenuse = 72ft.
The trigonometric ratios can be used to find the value of x
cos x = 28 /72
x = cos⁻¹ (28/72)
x = 67 degree (Rounded off to nearest tenth)
Therefore the value of angle x is 67 degree.
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Polygon C and polygon D are similar. The perimeter of polygon C is 60 inches,
and the perimeter of polygon Dis 12 inches. If one side of polygon C is 4
inches, what is the length of the corresponding side in polygon D?
A. 0.3 in
OB. 20 in
OC. 4 in
OD. 16 in
k
Answer:
Using the method of ratio and proportion, we find that the length of the side of Polygon D is 0.8in.
Step-by-step explanation:
Given that Polygon C and Polygon D are similar. This means that the ratio of the length of one side of Polygon C to the length of corresponding side of Polygon D will stay same even if we change the lengths.
Perimeter of polygon C = 60in
Perimeter of polygon D = 12in
Length of side of polygon C = 4in
Let us take the number of sides of both the polygons same. Let the length of the side of polygon D x inches. Let the number of sides be n.
First equation, 4n = 60
Second equation, xn = 12
Dividing second by first
(xn) / (4n) = 12 / 60
x / 4 = 1 / 5
x = 4 / 5 = 0.8in
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Solve the system. 2x y = −3 −2y = 6 4x write each equation in slope-intercept form. y = x y = x
The system of equation has an infinitely many solutions
How to solve the system of equations?The equations are given as:
2x + y = -3
-2y = 6 + 4x
Express 2x + y = -3 in slope-intercept form
y = - 3 -2x
Divide through by -2 in -2y = 6 + 4x
y = -3 - 2x
So, we have:
y = - 3 -2x and y = -3 - 2x
Both equations are the same.
This means that the system of equation has an infinitely many solutions
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On the unit circle centered at the origin [tex]\left(x^{2}+y^{2}=1 \right)[/tex], we pick three points at random. We cut the circle into three arcs at those points. What is the expected length of the arc containing the point (1,0)?
The expected length of the arc containing the point (1,0) is; π
How to solve Unit Circle Problems?First of all, it is pertinent to note that the lengths of the four arcs in which the circle is divided by the three points and (1, 0) have identical distributions.
The problem is same as dividing a circle of length 2π at four points chosen at random, and labelling one of them (1, 0). Now, let us make L₁, L₂, L₃, L₄ to be the lengths of the four arcs determined by those four points.
Thus, we have;
L₁ + L₂ + L₃ + L₄ = 2π
Whereas, the expected value of several random variables is additive as;
E[ L₁ + L₂ + L₃ + L₄] = [EL₁] + [EL₂] + [EL₃] + [EL₄]
By symmetry the lengths have the same probability distribution and as such; [EL₁] = [EL₂] = [EL₃] = [EL₄] and the sum must be 2π. Thus, we can say that each expected value is 2π/4 = π/4.
Finally, the expected value of the arc containing the point (1, 0) is the sum of the expected values of the two arcs that are adjacent to (1, 0), i.e.,
π/2 + π/2 = π
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Which graph shows the solution to the system of linear inequalities? Y<2x-5 y>-3+1
Helppppp
Answer:
Is the second expression written correctly? It reduces to y>-2, since no x is in the equation.
Step-by-step explanation:
We can graph the two equations. See attached image. If y>2 is the correct expression, all points to the right.
If the equation was meant to read y=-3x+1, then graph the revised expression.
sqrt(32x^3) - sqrt(16x^3) + root(4,x^3) -sqrt(2x^3)
An expression is defined as a set of numbers, variables, and mathematical operations. The simplified version of the given expression is (3√2-2)√x³.
What is an Expression?In mathematics, an expression is defined as a set of numbers, variables, and mathematical operations formed according to rules dependent on the context.
The given expression [tex]\sqrt{32x^3} - \sqrt{16x^3} + \sqrt{4x^3} -\sqrt{2x^3}[/tex] can be simplified as shown below.
[tex]\sqrt{32x^3} - \sqrt{16x^3} + \sqrt{4x^3} -\sqrt{2x^3}\\\\=\sqrt{x^3}(\sqrt{32}-\sqrt{16}+\sqrt{4}-\sqrt{2}})\\\\= \sqrt{x^3} (4\sqrt{2}-4+2-\sqrt2)\\\\= \sqrt{x^3} (3\sqrt{2}-2)[/tex]
Hence, The simplified version of the given expression is (3√2-2)√x³.
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7. Which of the verbal descriptions best matches the function below?
f(x)=0.02x+150
Gene earns 2% interest after depositing $150 into his account , Option D.
What is a Function ?A function is a law that relates an independent variable and a dependent variable with each other.
The function given is
f(x) = 0.02 x +150
Option D , Gene earns 2% interest after depositing $150 into his account
So this verbal description matches the function given as it represents , the total account balance of Gene .
Therefore Option D is the correct answer.
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I WILL GIVE BRAINIEST PLS HELP
∠2 and ∠8 are _____________ because they are _______________________.
supplementary/consecutive angles
congruent/consecutive angles
congruent/alternate interior angles
supplementary/alternate interior angles
Answer:
congruent/alternate interior angles
Step-by-step explanation:
just took the quiz
20 POINTS TO THE FIRST RIGHT ANSWER!!!! PLS HELP
A sculptor is planning to order a rectangular block of composite stone to sculpt a lion. The sculptor anticipates that the lion will be 5 feet long, about 2 feet wide and at the tallest part of the lion's body, have a height of 3.5 feet. The composite stone weighs 40 pounds per cubic foot. To the nearest cubic foot, estimate the weight of the smallest rectangular block that the sculptor must purchase in order to create his statue.
The weight of the smallest rectangular block is ____
pounds.
The weight of the smallest rectangular block is 1400 pounds.
What is density?The density refers to the heaviness of an object. It is the ratio of mass to volume.
Then we have
Density = Mass / Volume
A sculptor is planning to order a rectangular block of composite stone to sculpt a lion.
The sculptor anticipates that the lion will be 5 feet long, about 2 feet wide and at the tallest part of the lion's body, have a height of 3.5 feet.
The composite stone weighs 40 pounds per cubic foot.
To the nearest cubic foot, estimate the weight of the smallest rectangular block that the sculptor must purchase in order to create his statue.
Then the weight of the smallest rectangular block will be
Mass = density x volume
The volume will be
V = 5 x 2 x 3.5
V = 35 cubic feet
Then the weight will be
Mass = 40 x 35
Mass = 1400 pounds
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please help me its math 10 points
Answer:
it should be 319
Step-by-step explanation:
Answer:
639 is the answers for the question
Step-by-step explanation:
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1. In the following diagram, PQRS is a square of side 8 cm. PQ, QR, RS and SP are semi-circular arcs with centres at the midpoint of the sides of the square. Find the area of theshaded region.
Answer:
Step-by-step explanation:
Please give me more points so i can get help
Answer:
15°
Step-by-step explanation:
angle FGH = angle HGI ( since GH bisects angle FGI)
that means
(2x + 1) = (3x - 9)
= -x = -8
x = 8
angle HGI = (3x - 9)
= 3(8) - 9
24 - 9
= 15°
Answer:
21
Step-by-step explanation:
To find the measure of <HGI we first need to find the value of x
GH bisects angle <FI which means it divided the angle into two equal parts:
<FGH = <HGI
2x + 1 = 3x - 9 transfer like terms to the same side of the equation
1 + 9 = 3x - 2x
10 = x now replace x with 10
3*10 - 9 = 21
Divide : (8a^2b^4 - 20a^4b^5 + 48a^6b^6) by 4a^2b^4
Hey there ! please refer to the attachment .
I hope its help you !
The perimeter of a rectangle is 32 inches. The length is 1 foot, what is the width of the rectangle in inches?
Answer:
15
Step-by-step explanation:
divide the perimeter by two and minus 1
Answer: 15ft
Step-by-step explanation:
Start off by drawing a rectangle with the given information. Since it is a rectangle we know that the opposite side is also 1. So subtract 2 from 32 to get 30. Divide this by 2 and you will get your width of your rectangle. Hope this helps!
2y + 9 = 4 pls aswer the question pls pls
Step-by-step explanation:
2y+9= 4
2y=-5
y=-5/2
y= -2and 1/2
The sum of two consecutive even numbers is 38. What is the smaller number?
Even numbers = 2x +2
Consecutive even numbers = 2x+4
then
(2x+2) + (2x+4)= 38
2x + 2 + 2x + 4 = 38
2x + 2x + 2 + 4 = 38
4x + 6 = 38
4x = 38 - 6
x = 32 :4
x = 8
2x+ 2 = 2(8)+2 = 16 + 2 = 18
2x+4 = 2(8) +4 = 16 + 4 = 20
The smallest number is 18
[tex]\huge \red{\boxed{\green{\boxed{\boldsymbol{\purple{Pisces04}}}}}}[/tex]
Answer:
18 is the smaller number
Step-by-step explanation:
Let us take X for the first even number (it will also be the smallest)
x, x+1, x+2, so on..
the consecutive even number of x+2 is the next even number after x.
so you now get this equation...
x+(x+2) = 38
2x + 2 = 38
2x = 36
x=18
Which table represents a linear function?
Answer:
The table on the far left is a linear function.
Step-by-step explanation:
The table on the far left is the function
[tex]y = \frac{1}{2} x[/tex]
Determine the horizontal asymptote for the rational function.
Y= 5
Y= -5
Y= 1
Y= -1
Answer:
The horizontal asymptote is y=1 and
The vertical asymptote is x=5
Need help with this ASAP if you could that would help!!
Answer:
the distance between DE is 2
The distance of EF is 5
The distance of FD is [tex]\sqrt{29}[/tex]
Perimeter is 7+[tex]\sqrt{29}[/tex]
Step-by-step explanation:
Distance of DE
[tex]\sqrt{(-3-(-3))^2+(3-1)^2}[/tex]
sqrt([tex](-3+3)^2+(2)^2[/tex])
sqrt([tex](0)^2+4[/tex])
[tex]\sqrt{4}[/tex]
=2
Distance of EF
[tex]\sqrt{(2-(-3))^2+(3-3)^2}[/tex]
Solve that like DE and it equals 5
Distance of FD
[tex]\sqrt{(2-(-3))^2+(3-1)^2}[/tex]
equals to [tex]\sqrt{29}[/tex]
P=DE+EF+FD
P=2+5+[tex]\sqrt{29}[/tex] = 7+[tex]\sqrt{29}[/tex]