Answer:
there are two solutions:
x=0
and
x=14
Step-by-step explanation:
lts suppose the numbers are x and x+2, so:
[tex]x(x+2)=8(x+(x+2))-16\\x(x+2)=8(2x+2)-16=16x+16-16=16x\\x^2+2x=16x\\x^2-14x=0\\x(x-14)=0\\x=0,~x=14[/tex]
Find the area of a triangle with legs that are: 12 m, 15 m, and 9 m.
Answer:
108 meters squared or m^2
Step-by-step explanation:
* means multiply
15 is probably hypotenuse because its the longest
12 and 9 are probably base and height
area = base * height
area = 12 * 9
area = 108
Answer:
54m^2
Step-by-step explanation:
Which piecewise function represents the graph?
the function that connects the point (0;1) with the point (-1;0) is the graph
I need help ASAP please
Answer:
yes how can I help you???
If (x^2−1)/(x+1) = 3x + 5, then x + 3 =
(A) -3
(B) -2
(C) 0
(D) 2
(E) 4
. A customer surveys the stock of gluten-free
breads sold in three different grocery stores.
At each grocery store, the customer counts
the number of different gluten-free breads
and compares it to the number of breads
that are not gluten-free. The table below
shows the results of this survey.
This is a relative frequency question. Applying the concept, we get that the relative frequency of gluten free breads sold at store A compared to those sold at all stores combined is 0.1667.
Relative frequency:
The relative frequency of a to b is given by a divided by b.
In this question:
a: Gluten free breads sold at store A
b: Gluten free breads sold at all stores combined.
2 + 7 + 3 = 12 gluten free breads sold.
2 sold at store A, so:
[tex]\frac{2}{12} = \frac{1}{6} = 0.1667[/tex]
Thus, the relative frequency of gluten free breads sold at store A compared to those sold at all stores combined is 0.1667.
Another example of a problem involving relative frequency you can check at https://brainly.com/question/20630951
Relative Frequency:
The relative frequency of gluten-free breads sold at Store A compared to those sold at all the stores combined is:
= 0.167
Data and Calculations:
Gluten-Free Breads at Different Stores
Gluten-Free Not Gluten-
Breads Free Breads
Store A 2 4
Store B 7 10
Store C 3 12
Since we are only considering Gluten-Free Breads at the three stores, we take the relevant data to calculate and compare their frequencies as follows:
Gluten-Free Relative
Breads Frequency
Store A 2 0.167 (2/12) = 17%
Store B 7 0.583 (7/12) = 58%
Store C 3 0.250 (3/12) = 25%
Total Gluten-free 12 1 = 100%
Thus, the relative frequency of gluten-free breads sold at Store A compared to those sold at all the stores combined is 0.167.
What is the common ratio for this geometric sequence?
27, 9, 3, 1, ...
Answer:
a multiple of 3.
Step-by-step explanation:
1x3=3
3x3=9
9x3=27
Which expression is equivalent to (4x^(3)y^(5))(3x^(5)y)^(2)
Answer:
[tex](4x^3y^5)(3x^5y)^2 = 36*x^{13}y^7[/tex]
Step-by-step explanation:
Given
[tex](4x^3y^5)(3x^5y)^2[/tex]
Required
The equivalent expression
We have:
[tex](4x^3y^5)(3x^5y)^2[/tex]
Expand
[tex](4x^3y^5)(3x^5y)^2 = 4x^3y^5*9x^{10}y^2[/tex]
Further expand
[tex](4x^3y^5)(3x^5y)^2 = 4*9*x^3*x^{10}y^5*y^2[/tex]
Apply laws of indices
[tex](4x^3y^5)(3x^5y)^2 = 36*x^{13}y^7[/tex]
Circled one I need help with thank you!!
Formula-
If a set has “n” elements, then the number of subset of the given set is 2n and the number of proper subsets of the given subset is given by 2n-1. Consider an example, If set A has the elements, A = {a, b}, then the proper subset of the given subset are { }, {a}, and {b}
Symbol that can be used-
The symbol "⊆" means "is a subset of". The symbol "⊂" means "is a proper subset of".
Hope it helps you... pls mark brainliest if it helped you.
Erica’s family is moving away from California. They decided to have a moving sale and sell each item for 70% off the price they originally paid for it. The sofa had an original price of $799, and the love seat had an original price of $549. What is the total cost of both items after the discount?
Find the sale price by multiplying the original price by 70% then add the two prices together to get the total.
799 x 0.70 = 559.30
549 x 0.70 = 384.30
Total: 559.30 + 384.30 = $943.60
which polygon will NOT tessellate a plane?
Step-by-step explanation:
the answer is regular octagon
i think
Which points lie on the graph of f(x) = loggx?
Check all that apply.
Step-by-step explanation:
f(x)=log(x)
=d(log(x)/dx)
=>y=1/x
Can someone help me? I don’t know how to solve the rest. I am struggling and I would be so happy if any of you helped me. Thank you for your help!
Restate the number 4,587,902.453.
Expanded form:
Written form:
Answer:
Expanded form: 4,000,000 + 500,000 + 80,000 + 7,000 + 900 + 2 + 0.4 + 0.05 + 0.003
Word form: Four million, five hundred eighty-seven thousand, nine hundred two and four hundred fifty-three thousandths.
Cho hai tập hợp A={1;2;3;4},B={2;4;6;8} . Tập hợp nào sau đây bằng tập hợp A ∩B ?
Answer:
A∩B ={2;4}
Step-by-step explanation:
Chúc bạn học tốt
what is the tan invers of 3i/-1-i
z = 3i / (-1 - i )
z = 3i / (-1 - i ) × (-1 + i ) / (-1 + i )
z = (3i × (-1 + i )) / ((-1)² - i ²)
z = (-3i + 3i ²) / ((-1)² - i ²)
z = (-3 - 3i ) / (1 - (-1))
z = (-3 - 3i ) / 2
Note that this number lies in the third quadrant of the complex plane, where both Re(z) and Im(z) are negative. But arctan only returns angles between -π/2 and π/2. So we have
arg(z) = arctan((-3/2)/(-3/2)) - π
arg(z) = arctan(1) - π
arg(z) = π/4 - π
arg(z) = -3π/4
where I'm taking arg(z) to have a range of -π < arg(z) ≤ π.
Dylan has a coworker who is always showing up late and then not finishing his work on time. It's frustrating the other members of the team. What can he do that might help the situation? a) Complain about the coworker to other team members O b) Ask his coworker if he understands his job responsibilities c) Tell his boss that the coworker is slacking off O d) Complete his coworker's work for him
help with math it would help with summer school
Answer:
[tex]A). \ \ \frac{(72\pi + 9\pi )}{4} \ in^2[/tex]
Step-by-step explanation:
Given;
radius of the circle, r = 9 inches
the part of the circle cut out = one-forth of the complete circle
the angle of the sector cut out θ= ¹/₄ x 360 = 90⁰
Area of the complete circle = πr² = π x 9² = 81π in²
Area of the sector cut out = [tex]= \frac{\theta }{360} \pi r^2 = \frac{90}{360} \pi (9^2) = \frac{1}{4} \times 81\pi = \frac{81 \pi}{4} = \frac{(72\pi + 9\pi)}{4} \ in^2[/tex]
Therefore, the only correct option is A. [tex]\frac{(72\pi + 9\pi )}{4} \ in^2[/tex]
Find the x- and y-intercept of the line
X+4y=36
Based on a random sample of 50, a 95% confidence interval for the population proportion was computed. Holding everything else constant, which of the following will reduce the length of the confidence interval by half? (CHECK ALL THAT APPLY): A. Quadruple the sample size. B. Change the confidence level to 68%. C. Double the sample size. D. Change the confidence level to 99.7%. E. Decrease the sample proportion by half.
The length of the confidence interval is the margin of error, which is the ratio of the standard deviation and the square root of sample size. Hence, to reduce the length of confidence interval by half, Quadruple the sample size.
Recall :
Margin of Error = σ/√nEvaluating an hypothetical scenario :
Let standard deviation, σ = 2
Sample size = 50
Margin of Error = 2/√50 = 0.554
Using Quadruple of the sample size : (50 × 4) = 200 samples
Margin of Error = 2/√200 = 0.277(0.227 ÷ 0.554) = 0.5
Therefore, increasing the sample size, reduces the margin of error. Hence, using quadruple the sample size, will reduce the margin of error by half.
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The number of dollars in x quarters
Answer:
There are four quarters in one dollar, so 4x quarters in x dollarsThe mass varies directly as the Kinetic energy (K) and inversely as the square of the velocity (V). if the kinetic energy is 80 Joules and the velocity is 4 meters per second, then the mass is 10 kilograms. Express the mass as a function of kinetic energy and velocity.
Answer:
m = [tex]\frac{2K}{v^2}[/tex]
Step-by-step explanation:
Given mass (m ) varies directly as K and inversely as v² then the equation relating them is
m = [tex]\frac{kK}{v^2}[/tex] ← k is the constant of variation
To find k use the condition m = 10 when K = 80 and v = 4 , then
10 = [tex]\frac{80k}{4^2}[/tex] = [tex]\frac{80k}{16}[/tex] ( multiply both sides by 16 to clear the fraction )
160 = 80k ( divide both sides by 80 )
2 = k
m = [tex]\frac{2K}{v^2}[/tex] ← equation of variation
The expression of mass as a function of kinetic energy and velocity is m = 2K/V².
What is an expression?Expressions are defined as mathematical statements that have a minimum of two terms containing variables or numbers.
We have been given that the mass varies directly as the Kinetic energy (K) and inversely as the square of the velocity (V).
m ∝ K/V²
m = cK/V²
Here c is the constant of variation,
If the kinetic energy is 80 Joules and the velocity is 4 meters per second, then the mass is 10 kilograms.
We have to determine the value of c
Here m = 10 , K = 80 and V = 4 , then
Substitute the values in m = cK/V²
10 = c(80)/4²
10 = c(80)/16
10 = 5c
c = 10/5
c = 2
Substitute the value of c = 2 in the equation of variation,
⇒ m = 2K/V²
Hence, the expression of mass as a function of kinetic energy and velocity is m = 2K/V².
Learn more about the expressions here:
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Abigail plans to repaint some classroom bookcases. She has 6/25
gallons of paint. All of the bookcases are the same size and each requires 2/3
gallon of paint. How many bookcases will the custodian be able to repaint with that amount of paint?
Answer:
Step-by-step explanation: Hello! Do
translate this into an expression: the quotient of a number, x, and 8, could you please explain it to me?
Answer:
x/8
Step-by-step explanation:
First, we are given "the quotient of...". This means that we are dividing something/something else. If two numbers are given in the phrase "something and something else", the first number given will be the something, and the second number will be the something else.
The first number listed is x. Therefore, we have
x/something else.
Next, we are given "and 8", so we have x/8 as our expression
Drag each label to the correct location on the table. Each label can be used more than once. Match the attributes to the quadratic functions. x-intercept (-2,0) 1 y-intercept: 0,-8) minimum value: -1 axis of symmetry: 1 x-intercept: 2,0) y-intercept: (0,8) f(x) = x2 - 2x - 8 g(x) = x2 + 6x + 8 h(x) = -x2 + 2x
9514 1404 393
Answer:
f: x-intercept (-2, 0), y-intercept (0, -8), axis of symmetry x = 1g: x-intercept (-2, 0), y-intercept (0, 8), minimum value -1h: axis of symmetry x = 1Step-by-step explanation:
The equations can be written in factored form and vertex form to see the x-intercepts, axis of symmetry, and extreme value.
The y-intercept is the constant in the equation in standard form.
The axis of symmetry is the vertical line through the vertex.
__
f(x)f(x) = x² -2x -8 = (x -4)(x +2) = (x -1)² -9
x-intercept (-2, 0), y-intercept (0, -8), axis of symmetry x = 1
__
g(x)g(x) = x² +6x +8 = (x +2)(x +4) = (x +3)² -1
x-intercept (-2, 0), y-intercept (0, 8), minimum value -1
__
h(x)h(x) = -x² +2x = -(x)(x -2) = -(x -1)² +1
axis of symmetry x = 1
_____
Additional comment
We have only listed the intercepts, axis, and extreme where the values match a label.
pls help! I need the answer quickly! thank you!
Answer:
B) 36
BA=CD
BA=9
AREA OF TRIANGLE ABC=1/2×b×h
63=1/2×b×9
126=b×9
b=14
BC=14
AD=BC
AE+ED=BC
AE=BC-ED
AE=14-6
AE=8
AREA OF TRIANGLE ACE= 1/2×AE×CD
= 1/2×8×9
=36
Which graph corresponds to the following inequality? -2x-3y<6
Answer:
A) It’s the First graph
Step-by-step explanation: hope this helps!
The graph corresponds to the inequality -2x - 3y < 6 is option A.
How to find the value of x?To estimate the value of x and y, bring the variable to the left side and bring all the remaining values to the right side. Simplify the values to estimate the result.
Given: -2x - 3y < 6
then -2x - 3y = 6
Put the value of y = 0, then
[tex]$-2x-3*0=6[/tex]
-2x = 6
x = -6/2 = -3 and
-2x - 3y = 6
Put the value of x = 0, then
[tex]$-2*0-3y=6[/tex]
-3y = 6
y = -6/3 = -2
The value of x = -3 and y = -2.
Therefore, the correct answer is option A.
To learn more about inequality refer to:
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The number formed by adding 1 to the greatest 8 – digit number is?
Answer:
the answer would be 100,000,000
Greatest 8 Digit Number: 99,999,999
Adding 1 = 99999999+1
= 100,000,000
Must click thanks and mark brainliest
Write the expression as a single trigonometric function.
cos 5x cos 6x- sin 5x sin 6x
Answer:
[tex]\cos(11x)[/tex]
Step-by-step explanation:
Given
[tex]\cos 5x\ \cos 6x- \sin\ 5x \sin 6x[/tex]
Required
Express as a single function
In trigonometry, we have:
[tex]\cos(A + B) = \cos A\cos B - \sin A \sin B[/tex]
By comparison, we have
[tex]\cos(5x + 6x) = \cos 5x\cos 6x - \sin 5x \sin 6x[/tex]
[tex]\cos(11x) = \cos 5x\cos 6x - \sin 5x \sin 6x[/tex]
A region c
B region d
C region a
D region b
Answer:
Region C
Step-by-step explanation:
y ≤ ¼ x + 3 maps the areas C and D including the common boundary line
y ≥ -x + 5 maps the areas B and C including the common boundary line
The common area mapped is C plus its boundaries
factor the expression completely. -30+36x
Answer:
6 (-5 + 6x)
Step-by-step explanation:
Rewrite the number 30 as 6×5 and 36 as 6×6
Factor out the common number, which is 6
so, 6 (-5 + 6x)
Answer:
-6(5-6x).
Just factor out -6 from the expression. Thank you!
