-To simplify fractions.
Ex. (2x+10)/2 we factor 2 to simplify so 2(x+5)/2=x+5
Answer:
Step-by-step explanation:
Factoring a polynomial is one important way to find the roots (or x-intercepts) of the polynomial. It's not always the easiest method, particularly when the roots are mixed numbers.
If you take calculus later, you'll see that finding the derivative of a function, setting this derivative = to 0 and solving for the roots is one way in which we can identify the x-value(s) at which we have either a maximum or a minimum.
HELP IMPORTAINT!! Part A and B quick!!!
Answer:
Part A, the chances of hitting the black circle are closer to zero than 1. Reason: the black circle has an area of around 3.14 while the white has 10^2-3.14 (area of circle = πr^2). Part B, the chances of hitting the white are closer to one than zero as they are 100-3.14= around 96.86
Step-by-step explanation:
Loook up
Determine whether the two figures are similar. If so, give the similarity ratio of the smaller figure to the larger figure
Answer:
yes 1 : 8
Step-by-step explanation:
To determine if the figures are similar calculate the ratio of corresponding sides.
[tex]\frac{24}{3}[/tex] = 8
[tex]\frac{32}{4}[/tex] = 8
[tex]\frac{112}{14}[/tex] = 8
Since all 3 ratios are equal the figures are similar (SSS )
and the ratio small : large = 1 : 8
which statement describes the term salary
Answer: Best described as a fixed amount of income that is paid to an someone weekly, every other week, or on a monthly basis. it could also be described as annual earnings paid out over a year.
Step-by-step explanation:
Brett rolls a number cube labeled from 1 to 6 and tosses a penny at the same time. What is the probability that he will roll an even number and toss heads?
Answer:
1/4
Step-by-step explanation:
We are informed that a cube labeled from 1 to 6 is rolled. The numbers on the faces of the cube are;
1, 2, 3, 4, 5, 6
The probability of rolling an even number is;
(total number of faces with even numbers) / (total number of faces)
The even numbers are;
2, 4, 6
The probability of rolling an even number is thus;
3/6 = 1/2
If a penny is tossed, the probability of landing heads is simply;
1/2
This is because there are only two possible outcomes; heads or tails with equal probability assuming the penny is fair.
now, the probability that he will roll an even number and toss heads is;
1/2 * 1/2 = 1/4
we simply find the product of the probabilities of the individual events since they are independent.
there are two trianagles triangle a has a base of 8 cm and a height of 10 cm triangle b has a base of 5 cm and a height of 13 cm which triangle has a larger area
Answer:
Step-by-step explanation:
Since angle A is 36°, then angle B is 90° − 36° = 54°.
To find an unknown side, say a, proceed as follows:
1. Make the unknown side the numerator of a fraction, and make the known side the denominator.
Unknown
Known = a
10
2. Name that function of the angle.
Unknown
Known = a
10 = sin 36°
3. Use the trigonometric Table to evaluate that function.
Unknown
Known = a
10 = sin 36° = .588
4. Solve for the unknown side.
a = 10 × .588 cm = 5.88 cm
Answer:
Triangle a is larger than triangle b
Step-by-step explanation:
Triangle a
8x10=80
80 divided by 2=40
Triangle b
5x13=65
65 divided by 2=32.5
80 > 32.5
Can I pls have brainliest?
Find the value of h for the parallelogram
Answer:
h = 5.488 in
Explanation:
Area of a parallelogram is calculated as follows:
Area = base * height
In the given parallelogram, we can note that the base is 9.8 in and the corresponding height is 5.6 in
This means that:
Area of parallelogram = 9.8 * 5.6 = 54.88 in²
This same area can be calculated using the other base (10 in) and its corresponding height (h)
This means that:
Area of parallelogram = 10 * h
54.88 = 10 * h
h = 5.488 in
Hope this helps :)
A bakery bakes 6 batches of cookies every morning . Each batch contains the same amount of cookies. A total of 144 cookies are baked every morning. The first 4 batches of cookies are chocolate chips cookies and the last 2 are macadamia. 5/6 of the first 4 batches are sold by the end of the day. 1/2 of the last two batches are sold by the end of the day. How many chocolate chips cookies remain at the end of the day?
Answer:
16 remain
Step-by-step explanation:
144 divided by 6 = 24
24 in each batch
24 x 4 = 96
96 cookies in 4 batches
5/6 of 96 = 80
96-80=16
Answer:
16 chocolate cookies was left.
Step-by-step explanation:
Well first 144/6=24 and 24x4=96; 24x2=48. So 96x0.833333333=16.
Add:(3x2 - 5x + 6) + (9 - 8x - 4x2)
You can see by the image how did I get the answer
Which of the following ratios are equivalent to 4:5?
12:15
36 to 40
16 to 20
Answer:
12:15
16:20
Step-by-step explanation:
Note that what you multiply to one side, you multiply to the other (same with dividing) for ratios.
4:5 => 4 * 3: 5 * 3 = 12:15
4:5 => 4 * 4: 5 * 4 = 16:20
~
Answer:
12:5 and 16:20 are equalevent to 4:5
Step-by-step explanation:
12 divided by 3 = 4 (Because 3 x 4 = 12)
15 ÷ 3 =5 (because 5 x 3 = 15, we basicly raised the ration by a scale factor of 3)
12:15 = 4:5
16 ÷ 4 = 4 (because 4 x 4 = 16)
20 ÷ 4 = 5 (4 x 5 = 20 This ratio was raised by a scale factor of 4)
16 : 20 = 4:5
12:5 and 16:20
Hope this helped!
ABE is a triangle. can you use the sss postulate or the sas postulate to prove triangle ABC is congruent to triangle AED?
1. Both apply
2. By SSS only
3.By SAS only
4. Neither apply
Postulate SAS can be used to prove triangle [tex]ABC[/tex] is congruent to triangle [tex]AED.[/tex]
What is triangle?" Triangle is defined as the two dimensional closed figure with three vertices, three sides, and three angles enclosed in it."
According to the question,
Given,
In triangle [tex]ABC[/tex] and [tex]AED[/tex]
[tex]\angle ADE = 120\° \ \ \ \ \ \ \ \ \ (1)[/tex]
[tex]\angle ACD = 60\°\\\\\angle ACD + \angle ACB = 180\° (linear \ pair)\\\\\implies \angle ACB = 180\° -60\°\\\\\implies \angle ACB = 120\° \ \ \ \ \ \ \ \ \ \ (2)[/tex]
From [tex](1)[/tex] and [tex](2)[/tex] we get
[tex]\angle ADE \cong \angle ACB[/tex]
[tex]AC \cong AD\\\\BC \cong ED[/tex]
By SAS postulate ,
Triangle ABC is congruent to triangle AED.
Hence, Option 3 is the correct answer.
Learn more about triangle here
brainly.com/question/2773823
#SPJ2
Solve for x.
y=4+bx^2
A) x=±y−4b‾‾‾‾√
B) x=y−42b
C) x=y−4b
D) x=±y−4√b
Answer:
±[tex]\sqrt{\frac{y-4}{b} }[/tex] = x
Step-by-step explanation:
to solve y = 4 + bx², we want x alone, so lets subtract 4 from both sides to start
y - 4 = bx² < now divide both sides by b to get x alone
[tex]\frac{y-4}{b}[/tex] = x² < we can square root both sides to get rid of the x² in the equation
±[tex]\sqrt{\frac{y-4}{b} }[/tex] = x
the equation above is our answer. looking at the answer choices, they look a bit messed up, but I would have to say the answer is A if that line above the b is a division symbol
Solve for the variable: 3.5x=32.2
What’s the variable?
Answer:
The variable is x.
The value of the variable is 9.2.
Step-by-step explanation:
The equation shows the variable x multiplied by 3.5 with the result of that multiplication being 32.2. In order to solve for x, you must "undo" that multiplication.
The definitions of the multiplicative inverse and of the multiplication identity element tell you how to do that. The multiplicative inverse of a number is its reciprocal: the multiplicative inverse of 3.5 is 1/3.5. Multiplying a number by its multiplicative inverse gives a result of 1. Here, that means ...
3.5 × (1/3.5) = 1
The property of the multiplicative identity element (1) is that anything multiplied by that is just that thing:
x · 1 = x
So, to solve this equation, you multiply both sides by the multiplicative inverse of 3.5:
3.5x = 32.2
(1/3.5)(3.5)x = (1/3.5)(32)
1x = 9.2 . . . . . carry out the multiplication
x = 9.2 . . . . . . recognize 1x = x
___
You will recognize that multiplying by 1/3.5 is the same as dividing by 3.5. In other words, we solve this equation by dividing it by the coefficient of x.
Answer:
The variable is x and x is equal to 9.2
Step-by-step explanation:
Keep in mind that a variable is a symbol put in place to represent an unknown value. In this case, our variable is "x."
In order to solve for x, we must isolate it. We can do this by dividing both sides of the equal sign by 3.5
3.5x ÷ 3.5 = 32.2 ÷ 3.5
Simplify.
x = 9.2
Solve for x in the equation ? 2x^2 +3 x-7 =x^2 +5x +39
Answer:
1 ± √47
Step-by-step explanation:
Combine like terms in 2x^2 +3 x-7 =x^2 +5x +39:
2x^2 - x^2 = x^2 (first term);
3x - 5x = -2x (second term);
-7 - 39 = -46 (third term)
Then we have, all on the left side, x^2 - 2x - 46, which is a quadratic equation. Here the coefficients are a = 1, b = -2 and c = -46.
Then the discriminant, b^2 - 4ac, is:
(-2)^2 - 4(1)(-46) = 4 + 184.
The roots are:
-(-2) ±√188 2 ± √4√47
------------------- = -------------------
2 2
= 1 ± √47 (last of the answer choices)
=
x = ------------------
Identify a and b in the binomial expression (2x3 + 3y2)7.
[tex]\text{Hey there!}[/tex]
[tex]\text{Distribute the value of 7 in each of your terms}[/tex]
[tex]\text{(2x}^3+\text{3y}^2)(7)[/tex]
[tex]\text{2x}^3\times7=\text{14x}^3[/tex]
[tex]\text{3y}^2\times7=\text{21y}^2[/tex]
[tex]\text{We cannot combine like terms because they AREN'T any in this equation}[/tex]
[tex]\boxed{\boxed{\bf{Answer:14x^3+21y^2}}}\checkmark[/tex]
[tex]\text{Good luck on your assignment and enjoy your day!}[/tex]
~[tex]\frak{LoveYourselfFirst:)}[/tex]
Answer:
[tex]a=2x^3[/tex] and [tex]b=3y^2[/tex]
Step-by-step explanation:
The given binomial expression is: [tex](2x^3+3y^2)^7[/tex]
A standard binomial expression is like [tex](a+b)^n[/tex]
Comparing the given expression with the standard binomial expression.....
[tex](a\ \ +\ \ b)^n \Longleftrightarrow (2x^3\ +\ 3y^2)^7\\ \\ So,\ \ a=2x^3\\ \\ and\ \ b=3y^2[/tex]
Find the social security tax on $350 at a rate of 7.65%.
Answer:
26.78
Step-by-step explanation:
350 * .0765
mrs. West took her class on a field trip to the museum cost of admission for the girls was $90 and the cost of admission for the boys who $75 each ticket cost the same amount what is the cost of each ticket
Answer:
15 dollars
Step-by-step explanation:
What number is 1/64 of 640?
Answer:
10
Step-by-step explanation:
Divide 640 by 64 to find 1/64.
640/64=10
Or multiply 1/64*640=10
Will Give Brainliest. Type the correct answer in each box. Round your answers to the nearest whole number.
Answer:
Part 1) 53%
Part 2) 44%
Part 3) The record label sold a higher percentage of album 1 as digital downloads than album 2
Step-by-step explanation:
First we need to find the total sales of each album
Album 1:
[tex]540+470=1010[/tex]
Album 2:
[tex]571+452=1023[/tex]
Part 1)
In order to find the percentage of copies of album 1 sold as CDs, we need to create a fraction with the number of CD sales over the total number of sales
[tex]\frac{540}{1010} =0.534\\\\0.534*100=53.4\\\\53[/tex]
Part 2)
We must now do the same thing with the number of digital downloads for album 2
[tex]\frac{452}{1023} =0.441\\\\0.441*100=44.1\\\\44[/tex]
Part 3)
We can now do this again with the number of digital downloads for album 1 and compare it to the answer in Part 2
[tex]\frac{470}{1010} =0.465\\\\0.456*100=46.5\\\\47[/tex]
As the % for album 1 is 47% while the % for album 2 is 44%, album 1 sold a higher percentage of digital downloads than album 2
Regina bought $1.25 pounds of apples for $1.10. What was the price per pound?
Answer:
The price per pound was $0.88
Step-by-step explanation:
If $1.10--------------> 1.25 Pounds
x <--------------- 1 Pound
x = ($1.10)(1 Pound)/1.25 Pound
x = $0.88
Jim’s work evaluating 2(3/5)^3 is shown below.
2(3/5)^3 = 2(3^3/5)
=2(3*3*3/5)
=2(27/5)
= 54/5
Which statement best describe Jim’s first error?
a: He did not multiply 3/5 by 2 before applying the power.
b: He did not apply the power to the denominator of 3/5
c: He did not evaluate 3^3 correctly.
d: He did not multiply 27/5 by 2 correctly.
Answer:
Option b.
Step-by-step explanation:
we have
[tex]2(\frac{3}{5})^{3}[/tex]
Evaluate
[tex]2(\frac{3}{5})^{3}=2(\frac{3^{3}}{5^{3}})\\ \\=2(\frac{27}{125})\\ \\=\frac{54}{125}[/tex]
therefore
He did not apply the power to the denominator of 3/5
I NEED THE ANSWER PLEASE
Answer:
125.66 in. ³
Step-by-step explanation:
2 × π × r × h + 2 × π × r²
We only know the length of the diameter, but we have to find the radius. So we divide by 2 because the radius is half the diameter.
4 ÷ 2 = 2
So r = 2.
h = 8
2 × π × r × h
2 × 3.14 × 2 × 8 = 100.48
2 × π × r²
2 × 3.14 × 2²
2 × 3.14 × 4 = 25.12
Now add them up.
100.48 + 25.12 = 125.66
Hope this helps... :)
Which type of correlation is suggested by the scatterplot?
Answer:
There is no correlation
Step-by-step explanation:
There is no pattern with the points on the scatter plot.
which expression is equivalent to 16c+24d
Answer:
8(2c + 3d)
Step-by-step explanation:
Given
16c + 24d ← factor out 8 from each term
= 8(2c + 3d) ← in factored form
8(2c+3d)
Hope this helped
Help please!
Find the area of the trapezoid. Leave your answer in the simplest radical form. The figure is not drawn to scale.
96cm
The area of the rectangle is 72 (6 x 12)
The base of the left triangle is six and the height is six. Base x height is 36. 36/2 is 18.
The base of the right triangle is 2 and the height is 6. 6 x 2 is 12. 12/2 is 6.
6 plus 18 plus 72 is 96, which is the final answer.
ANSWER
[tex]96 {cm}^{2} [/tex]
EXPLANATION
The area of a tra-pezoid is calculated using the formula:
[tex]Area = \frac{1}{2} ( \: sum \: of \: bases )\: \times \: h[/tex]
[tex]Area = \frac{1}{2} ( \: sum \: of \: bases )\: \times \: h[/tex]
From the tra-pezoid
[tex] \tan(45 \degree) = \frac{6}{x} [/tex]
[tex]x = \frac{6}{\tan(45 \degree) } [/tex]
[tex]x = \frac{6}{1} = 6[/tex]
[tex]Area = \frac{1}{2} ( 12 + 20 )\: \times \: 6[/tex]
[tex]Area = \frac{1}{2} ( 32)\: \times \: 6[/tex]
[tex]Area =16 \times 6 = 96 {cm}^{2} [/tex]
Which value of x is in the solution set of 2x-3>11-5x
7x>14,x=2። is right answer i think
7x>14,x=2። is right answer i think
Answer:
Value of x > 2 is in the solution set of 2x-3>11-5x which means the value of x can be any value greater than 2.
Step-by-step explanation:
We need to find the value of x for the equation 2x-3>11-5x
2x-3>11-5x
Adding +5x on both sides:
2x+5x-3>11-5x+5x
7x-3>11
Adding +3 on both sides
7x-3+3>11+3
7x>14
Dividing by 7 on both sides:
7x/7>14/7
x>2
Value of x > 2 is in the solution set of 2x-3>11-5x which means the value of x can be any value greater than 2.
Which function has zeros at x = −2 and x = 5?
f(x) = x2 + 2x − 10
f(x) = x2 − 2x − 10
f(x) = x2 + 3x − 10
f(x) = x2 − 3x − 10
f(x)=X2+3x-10 for X=-2
why? 2*2+3*2-10
4+6-10=0
Answer: f(x) = x2 - 3x -10
Step-by-step explanation:
putting x= -2
f(-2) = (-2)^2 - 3(-2) - 10
=4 + 6 -10
f(-2)=0
f(5) = x2 - 3x - 10
= (5)^2 - 3(5) -10
=25 - 15 - 10
f(5) =0
Factorise:-
x^3 - 6x^2 + 11x - 6
Answer:
(x - 1)(x - 2)(x - 3)
Step-by-step explanation:
Note the sum of the coefficients
1 - 6 + 11 - 6 = 0
hence x = 1 is a root and (x - 1) is a factor
dividing x³ - 6x² + 11x - 6 by (x - 1) gives
(x - 1)(x² - 5x + 6)
To factor the quadratic
Consider the factors of + 6 which sum to give - 5
The factors are - 2 and - 3, since
- 2 × - 3 = 6 and - 2 - 3 = - 5, hence
x² - 5x + 6 = (x - 2)(x - 3) and
x³ - 6x² + 11x - 6 = (x - 1)(x - 2)(x - 3)
Answer:
(x - 1)(x - 2)(x - 3).
Step-by-step explanation:
f(x) = x^3 - 6x^2 + 11x - 6
f(1) = 1 - 6 + 11 - 6 = 12 - 12
= 0 so by the Factor Theorem (x - 1) is a factor.
Also, by the Rational Root theorem, as the last term is -6 and the leading coefficient is 1 some of -1, 2,-2, 3 -3, 6,-6 might be zeroes of the function.
f(-1) = -1 + 6 - 11 - 6 = -12 so -1 is not a zero and (x+ 1) is not a factor.
f(2) = 8 - 24 +22 - 6
= 30 - 30 = 0 so (x - 2) is also a factor)
Since the last term is -6 the last factor must be (x - 3)
=Checking: f(3) = 27 -6(9) + 33 - 6
= 27 - 54 + 33 - 6
= 60-60 = 0.
So the factors are (x - 1)(x - 2)(x - 3).
What does the slop mean in this situation?
Answer:
m = ($55,000 - $40,000)/(9 - 3)
= $15,000/6 = $2,500
A salesperson's salary will increase by about $2,500 per year of employment.
Which equation represents the hyperbola in general form?
ANSWER
D.
[tex]9 {y}^{2} - 4 {x}^{2}- 36y + 16x - 16 = 0[/tex]
EXPLANATION
The standard equation of the hyperbola is
[tex] \frac{ {(y - 2)}^{2} }{4} - \frac{ {(x - 2)}^{2} }{9} = 1[/tex]
We multiply through by 36 to obtain:
[tex]9 {(y - 2)}^{2} - 4( {x - 2)}^{2} = 36[/tex]
We now expand to get,
[tex]9( {y}^{2} - 4y + 4) - 4( {x}^{2} - 4x + 4) = 36[/tex]
Expand :
[tex]9 {y}^{2} - 36y + 36 - 4 {x}^{2} + 16x - 16 = 36[/tex]
To get the general form, we equate everything to zero to get,
[tex]9 {y}^{2} - 4 {x}^{2}- 36y + 16x - 16 = 0[/tex]
The correct choice is D.
I need help on this question plz.
Answer:
[tex]\large\boxed{A.\ 3^2-16+36\div3}[/tex]
Step-by-step explanation:
[tex]3^2-(5-3)^4+4\times3^2\div3\\\\=3^2-(2)^4+4\times9\div3\\\\=3^2-16+36\div3\to\boxed{A}[/tex]