Step-by-step explanation:
Consider this polynomial,
[tex]8 {x}^{2} + 2x - 3[/tex]
First, I do the AC memethod. To find my two numbers,
That is to find two numbers that multiplied will equal my leading coeffeicent, A times my constant, C
And that will also add to 2, my middle term.
So using that
[tex]8 \times - 3 = - 24[/tex]
So let find factors of-24:
Factors can be positve or negative
The factors of 24 are : 1,2,3,4,6 8,12,24.
So which one of these add up to 2.
[tex]6 + ( - 4) = 2[/tex]
and
[tex]6 \times - 4 = - 24[/tex]
So six and negative four is our numbers.
Now, let set up our binomials
Step 1: Rewrite the orginal equation by using 6x and -4x instead of 2x.
Disclaimer: The placement of these numbers doesn't matter.
So we have
[tex]8 {x}^{2} + 6x - 4x - 3[/tex]
Step 2: Group the first two terms and last two terms
[tex](8 {x}^{2} + 6x) + ( - 4x - 3)[/tex]
Factors the first group by finding the GCF.
x is the greatest common variable, and 2 is the gcf so we have
[tex]2x(4x + 3) + ( - 4x - 3)[/tex]
Next, factor the next group by -1.
[tex]2x(4x + 3) - 1(4x + 3)[/tex]
Combine the outside factors.
[tex](2x - 1)(4x + 3)[/tex]
So those are the factors.
Find the 9th term of the geometric sequence.
Answer:
7/6561
Step-by-step explanation:
nth term = a1 r^(n-1) so
9th term = 7* (1/3)^(9-1)
= 7*(1/3)^8
= 7/6561
In a math class with 28 students, a test was given the same day that an assignment was due. There were 18 students who passed the test and 19 students who completed the assignment. There were 15 students who passed the test and also completed the assignment. What is the probability that a student passed the test given that they completed the homework
Answer:
2/9
Step-by-step explanation:
I do not understand this
Answer:
D. 2 (1/3) hours
Step-by-step explanation:
'Of' means multiplication, so we are going to multiply
3 (1/2) x (2/3) = 2 (1/3)
or
3.5 x 0.66 = 2.333
I hope this helps!
please explain how you got the answer please i need to see how you got that answer!! umm please someone give me it quick
Answer:
y>-2
Step-by-step explanation:
her mistake was she did -22-6= -28 but the correct solution is -22+6= -16
The diagram shows a track composed of a rectangle with a semicircle on each end. The area of the rectangle is 12,800 square meters. What is the perimeter of the track? Use 3.14 for (pie symbol)
Answer:
271.2 meters
Step-by-step explanation:
See attached image.
3y - 2x = -15 and x = -6y
Answer:
X=6, Y=-1
Solved using substitution
Answer:
[tex]y = - 1[/tex]
Step-by-step explanation:
[tex]3y - 2( - 6y) = - 15 [/tex]
Simplify both sides
[tex]3y + 12y = - 15[/tex]
Combine Like terms
[tex]15y = - 15[/tex]
Divide both sides by 15
[tex]y = - 1[/tex]
Can someone please help me? I really need this grade and I’m very lost in all of these questions. Thank you.
Answer: See below
Step-by-step explanation:
4) [tex]p(5.8 < x < 8.8)=0.7838[/tex] (By calculator)
5) [tex]p(x \leq 4.8)=0.0032[/tex] (By calculator)
6) [tex]P(x > 9.8 \text { or } x < 5.8)= P(x < 5.8)+P(x > 980)[/tex]
[tex]\begin{array}{ll}\text { Now } \quad & P(x > 9.8)=0.0345 \\\text { and } \quad & P(x < 5.8)=0.0345\end{array}[/tex]
[tex]p(x > 9: 8 \text { or } x < 5.8)=0.069[/tex]
7) No, there are no outliers in the data set
Steve claims tan(x) - 3
What value of cos(x) supports Steve's claim?
9
41
0
9
40
40
41
41
40
The value of cos(x) that supports Steve's claim is 1/√10
SOH CAH TOA identityGiven the following trigonometry identity
tan(x) = 3
According to the theorem;
tan x = opposite/adjacent = 3/1
Opposite = 3
Adjacent = 1
Determine the hypotenuse
hyp = √3² + 1²
hyp = √10
Since cos(x) = adj/hyp
cos(x) = 1/√10
Hence the value of cos(x) that supports Steve's claim is 1/√10
Learn more on SOH CAH TOA here: https://brainly.com/question/20734777
help using the digits 0 to 9
Answer:
Step-by-step explanation:
Assuming you can use any digit from 0-9
You can do 5% of 260 = 13 . All of which are different digits and not the same
This is true because 260 x .05 = 13
CHOOSE THE CORRECT ANSWER
please help with this question
Answer:
your answer is 1,-2
Step-by-step explanation:
Solve the equation and enter the value of x below.
8x + 11 = 35
8x + 11 - 11 = 35 - 11
8x = 24
x = 24/8
x = 3
check
8 * 3 + 11 = 24 + 11 = 35
Can anyone solve this?
Answer:
54 cubic inches
Step-by-step explanation:
Just as the area of a triangle is half the area of a rectangle with the same dimensions, the volume of a triangular prism is half the volume of a rectangular prism with the same dimensions:
V = 1/2(LWH)
V = (1/2)(9 in)(4 in)(3 in) = 54 in³
The volume of Phil's block of cheese is 54 in³.
please help i need help ASAP
Answer:
118
Step-by-step explanation:
62+x=180
x=180-62
x=118
Please Help 30 Points
Answer:
Step-by-step explanation:
Y=x-12, y=14 what is x I need someone to answer fast please
Answer:
x = 26
Step-by-step explanation:
If Y= x - 12 and Y = 14
Then we input the value of y which gets us the equation of: 14 = x - 12
Now we add 12 on both sides to isolate the variable.
We ADDED 12 because we needed a way to cross out the - 12 on the right side. Now the equation would be 14+12 = x
Easily we can find that 26=x
please help me write quadratic equation given the roots and the leading coefficient
Answer:
Example Question: f(x) = 2x^2 + 2x - 1
If the leading coefficient is positive, the graph will be opening up (U) if the leading coefficient is negative, the graph will be opening down (n)
Roots are the x-intercepts that help find the axis of symmetry (add the two roots together and divide the result by 2 to get the axis of symmetry)
To find the vertex, simply imput the axis of symmetry into the given equation.
And that’s about it.
Step-by-step explanation:
I don’t know what you’re asking for??
Write a numerical expression to represent the phrase.
the difference of 4 cubed and 25
Hello!
First, "the difference" of 2 numbers means you subtract these numbers.
Then, 4 cubed is written as follows:
4³
Subtract:
4³-25
[If necessary] Evaluate:
64-25
39
Hope everything is clear.
Let me know if you have any questions!
Always remember: Knowledge is power!
what are two numbers that multiply to 64 and add to - 20
Answer:
-4 and -16
Step-by-step explanation:
Let x = first number
Let y = second number
Given:
The two numbers multiply to 64⇒ xy = 64
Given:
The two numbers add to -20⇒ x + y = -20
Rewrite x + y = -20 to make x the subject:
⇒ x = -20 - y
Substitute into xy = 64 and solve for y:
⇒ (-20 - y)y = 64
⇒ -20y - y² = 64
⇒ y² + 20y + 64 = 0
⇒ (y + 4)(y + 16) = 0
⇒ y = -4, y = -16
As x + y = -20
If y = -4 then x = -16
If y = -16 then x = -4
Therefore, the two numbers are -4 and -16
Let they be a and b
a+b=-20--(1)ab=64So
[tex]\\ \rm\rightarrowtail (a-b)^2=(a+b)^2-4ab[/tex]
[tex]\\ \rm\rightarrowtail (a-b)^2=(-20)^2-4(64)=400-256=144[/tex]
[tex]\\ \rm\rightarrowtail a-b=12\dots(2)[/tex]
From both equations
2a=-8=>a=-4-4+b=-20b=-163.
Write an equation for the inverse function for each one-to-one function.
a. k(x)=58-2
x+10
b. h(x) =
x-3
need some help
Answer:
a) k(x) = 5x - 2
x = 5(y) - 2
5y = x + 2
y = (x+2)/5
k-¹(x) = (x+2)/5
b) h(x) = (x+10)/(x-3)
x = (y+10)/(y-3)
x(y-3) = y + 10
xy -3x = y + 10
xy - y = 3x + 10
y(x-1) = 3x + 10
y = (3x + 10)/(x-1)
h-¹(x) = (3x+10)/(x-1)
Select all the statements that describe the distribution of the data
find the area of a square if its side length is:
Part A. 1/5 cm
Part B. 3/7 units
Part C. 11/8 inches
Part D. 0.1 meters
Part E. 3.5 cm
The area of each given square is:
Part A: 1/4 cm²
Part B: 9/47 units²
Part C: 1.89 inches²
Part D: 0.01 meters²
Part E: 12.25 cm²
What is the Area of a Square?Area of a square, with side length, s, is: A = s².
Part A:
s = 1/2 cm
Area = (1/2)² = 1/4 cm²
Part B:
s = 3/7 units
Area = (3/7)² = 9/47 units²
Part C:
s = 11/8 inches
Area = (11/8)² = 1.89 inches²
Part D:
s = 0.1 meters
Area = (0.1)² = 0.01 meters²
Part E:
s = 3.5 cm
Area = (3.5)² = 12.25 cm²
Learn more about area of a square on:
https://brainly.com/question/24579466
base radius of 7cm and height of 35cm what is the cylinder's volume
Answer:
5390 cm³Step-by-step explanation:
It is given that the base radius of a cylinder is 7cm and the height is 35cm and we are asked to find the volume of the cylinder.
We must know this formula :
⇒ Volume(Cylinder) = πr²hWe will take the value of π as 22/7Now substituting the values :
⇒ Volume(Cylinder) = 22/7 × (7)² × 35
⇒ Volume(Cylinder) = 22/7 × 49 × 35
⇒ Volume(Cylinder) = 22 × 7 × 35
⇒ Volume(Cylinder) = 22 × 245
⇒ Volume(Cylinder) = 5390
Therefore,
The volume of the cylinder is 5390 cm³PLEASE HELP!
Solve for x. 4/5 = x/7 x =
Answer:
5.6
Step-by-step explanation:
4/5 = .8
so ? ÷ 7 = .8|
7 x .8 = 5.6
x= 5.6
x = 5.6
hope it helps...!!!!
What is the area of ABC?
Answer:
C 10
Step-by-step explanation:
Heron's formula to calculate the area of a triangle based on 3 sides :
p (half the perimeter) = (a+b+c)/2
area = sqrt(p(p-a)(p-b)(p-c))
AB = c = sqrt(2² + 6²) = sqrt(40) = sqrt(4×10) = 2×sqrt(10)
AC = a = sqrt(2² + 4²) = sqrt(20) = sqrt(4×5) = 2×sqrt(5)
BC = b = sqrt(2² + 4²) = 2×sqrt(5)
p = 2×sqrt(5) + sqrt(10)
area = sqrt((2×sqrt(5) + sqrt(10))×sqrt(10)×sqrt(10)×(2×sqrt(5) - sqrt(10)) =
= sqrt(10×(2×sqrt(5) + sqrt(10))×(2×sqrt(5) - sqrt(10))) =
= sqrt(10×(4×5 - 10)) = sqrt(10×(20 - 10)) = sqrt(10×10) = 10
Nezzie invests in 300 shares of stock in the fund shown below. name of fund nav offer price lkit mid-cap $16.58 $16.99 nezzie plans to sell all of her shares when she can profit $5,000. what must the net asset value be in order for nezzie to sell? a. $16.67 b. $33.25 c. $33.57 d. $33.66
The value of net asset to be in order for Nezzie to sell all of her shares when she can profit $5,000 is $33.66.
How to find the net asset value?The net asset value is the difference of total asset value of the company to the total liabilities value of that company.
Nezzie invests in 300 shares of stock in the fund shown below. Name of fund nav offer price lkit mid-cap $16.58 $16.99.
Nezzie plans to sell all of her 300 shares of stock when she can profit $5,000.
To find the net asset for this case, divide the profit with the number of shares and the higher price in that.
[tex]\rm Net Asset=\dfrac{5000}{300}+16.99\\\rm Net Asset=33.66\\[/tex]
Thus, the value of net asset to be in order for Nezzie to sell all of her shares when she can profit $5,000 is $33.66.
Learn more about the net asset value here;
https://brainly.com/question/25646730
The ratio of the diameter of a larger circle to the diameter of a smaller circle is 3/2. What ratio represents the ratio of the area of the larger circle to the area of the smaller circle?
use prime factorisation to find the hcf of 612 and 1314
Answer:
Step-by-step explanation:
612: 2*2* 3 * 3 * 17
1314: 2* 3 * 3 * 73
The highest common factor is 2 * 3 * 3 = 18
17 and 73 are both prime, so the factoring stops there.
Which equation can be used to calculate the surface area of the triangular prism net show below? The net of a rectangular prism. The rectangular sides are 10 centimeters by 13 centimeters, 10 centimeters by 12 centimeters, and 10 centimeters by 5 centimeters. The triangular sides have a base of 5 centimeters and height of 12 centimeters. [Not drawn to scale] Surface Area = (one-half) (5) (12) (5) (10) (12) (10) (13) (10) Surface Area = (one-half) (5) (13) (one-half) (5) (13) (13) (10) (12) (10) Surface Area = (2) (5) (13) (5) (10) (13) (10) (12) (10) Surface Area = (one-half) (5) (12) (one-half) (5) (12) (5) (10) (12) (10) (13) (10).
The [tex]13\times10+12\times10+5\times10+\rm \frac{1}{2} \times 5 \times12+\rm \frac{1}{2} \times 5 \times12[/tex] equation can be used to calculate the surface area of the triangular prism.
It is given that the triangular prism net showing in the figure with dimensions.
It is required to find which equation can be used to find the surface area of the triangular prism net.
What is surface area?It is defined as the area of 3-dimensional geometry surfaces area sum which is occupying the outer area of the object.
We know the area of a rectangle = length × width
Area of the top rectangle = 13×10
Area of the middle rectangle = 12×10
Area of bottom rectangle= 5×10
The formula for finding the area of a triangle:
[tex]\rm A=\frac{1}{2} \times bh[/tex]
Area of right triangle = [tex]\rm \frac{1}{2} \times 5 \times12[/tex]
Area of left triangle = [tex]\rm \frac{1}{2} \times 5 \times12[/tex]
The surface area = Area of top+ Area of middle+ Area of bottom+ Area of
a right triangle+ Area of the left triangle
[tex]=13\times10+12\times10+5\times10+\rm \frac{1}{2} \times 5 \times12+\rm \frac{1}{2} \times 5 \times12[/tex]
Thus, the [tex]13\times10+12\times10+5\times10+\rm \frac{1}{2} \times 5 \times12+\rm \frac{1}{2} \times 5 \times12[/tex] equation can be used to calculate the surface area of the triangular prism.
Learn more about the surface area here:
https://brainly.com/question/1196953
8 nickels 12 pennies?
Answer:
52 cents :)
Step-by-step explanation:
Nickel: 5 cents
Penny: 1 cent
5 x 8 = 40
12 x 1 = 12
40 + 12 = 52
Have an amazing day!!!
Please rate and mark brainliest!!