Answer:
A. 7
Step-by-step explanation:
Since we see that F(x) = x+2, we can solve it without even looking at other values. Input means x, so we simply just plug in 5 into F(x). 5+2 = 7, therefore it is A. 7.
A producer of electronic book readers is performing a quality check to ensure the reader's backlight is working correctly. The plant manager tests 2,000 readers on Monday and finds that 8 have defective backlights. The fraction StartFraction 1 over x EndFraction is the experimental probability of a book reader having a defective backlight. What is the value of x?
Answer: 25
Step-by-step explanation:
From the question, we are told that a producer of electronic book readers is performing a quality check to make sure that the reader's backlight is working correctly. Then, the plant manager tests 2,000 readers on Monday and finds that 8 have defective backlights. The fraction 1/x is the experimental probability of a book reader having a defective backlight. What is the value of x?
Number of tested readers= 2000
Defective backlight = 8
Probability of having a defective backlight will be the number of defective backlight divided by the number of readers tested. This will be:
= 8/200
We reduce the nice fraction to its lowest term.
8/200 = 1/25
Therefore x will be 25
Answer:
250
Step-by-step explanation:
two thousand divided by eight = 250
2000/8=250
Oliver started his banking account with $100 and is increasing the account $20 per month. Which type of function does this situation model?
A) quadratic function
B) piecewise function
C) absolute value function
D) None of these choices are correct.
Answer: D. NONE OF THESE CHOICES ARE CORRECT.
Step-by-step explanation:
This situation represents a linear function graph because as you save up over the months the money goes up as well.
Simply the expression (2x^2y)^3
Answer:
8 x^6 y^3
Step-by-step explanation:
(2x^2y)^3
(ab)^c = a^c * b^c
2^3 * x^2^3 * y^3
8 * x^2^3 * y^3
We know that a^b^c = a^(b*c)
8 * x^(2*3) * y^3
8 * x^(6) * y^3
8 x^6 y^3
Jose asks his friends to guess the higher of two grades he received on his math tests. He gives them two hints. The difference of the two grades is 16. The sum of one-eighth of the higher grade and one-half of the lower grade is 52. The system that represents his scores is below. x – y = 16 StartFraction 1 over 8 EndFraction x plus StartFraction one-half EndFraction y equals 52.x + StartFraction one-half EndFraction x plus StartFraction one-half EndFraction y equals 18.y = 52 What is the higher grade of Jose’s two tests?
Answer : 96
x – y = 16 --------> equation 1
1/8 x + 1/2 y = 52
x is the higher grade and y is the lower grade
We solve the first equation for y
x - y = 16
-y = 16 -x ( divide each term by -1)
y = -16 + x
Now substitute y in second equation
1/8 x + 1/2 ( -16 + x ) = 52
1/8x - 8 + 1/2 x = 52
1/8x + 1/2x - 8 = 52
Take common denominator to combine fractions
1/8x + 4/8x -8 = 52
5/8x - 8 = 52
Add 8 on both sides
5/8x = 60
Multiply both sides by 8/5
x = 96
We know x is the higher grade
96 is the higher grade of Jose’s two tests.
The higher grade and lower grade of Jose’s two tests will be 96 and 80.
What is the solution of the equation?The solution of the equation means the value of the unknown or variable.
Jose asks his friends to guess the higher of two grades he received on his math tests.
He gives them two hints.
Let x be the higher number and y be the lower number.
The difference of the two grades is 16.
x - y = 16 ...1
The sum of one-eighth of the higher grade and one-half of the lower grade is 52.
x/8 + y/2 = 52
x + 4y = 416 ...2
Subtract equation 1 from 2, we have
4y + y = 416 – 16
5y = 400
y = 80
Then the value of x will be
x – 80 = 16
x = 80 + 16
x = 96
The higher grade and lower grade of Jose’s two tests will be 96 and 80.
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PLZZZZZZZZ HLPPPPPPPPPPPPP MEEEEEEEEEEEEE
Answer:
(x1,y1)=(−2,2)
(x2,y2)=(0,−2)
Use the slope formula:
m= y2−y1 /x2−x1
= −2−2 /0−−2
= −4 /2
=−2
Answer:
m=−2 This is the slope
So,the slope intercept form for 2 points is y-y1=m(x-x1) m=slope
y-y1=m(x=x1)
y-2=-2(x-(-2) ( - and - is +) So,the final equation is:
y-2=-2(x+2)
I hope this help you :)
The population, P in thousands of a resort community is shown by
P(t)= 500t/2t^2+9'
where t is the time in months since city council raised property taxes.
Find the interval on which the population was 40,000 or greater
Answer:
t ≤ 4.24
Step-by-step explanation:
P(t) ≥ 40000 implies
500t/(2t²+9) ≥ 40000
Multiplying through by t², we have
500t ≥ 40000(2t²+9)
500t/40000 ≥ 2t²+9
Collecting like terms
0.0125t ≥ 2t²+9
0 ≥ 2t²+ 9 - 0.0125t
2t²+ 9 - 0.0125t ≤ 0
2t²- 0.0125t + 9 ≤ 0
Using the quadratic formula,
[tex]t = \frac{-(-0.0125) +/-\sqrt{(-.0125)^{2} - 4 X 2 X 9} }{2 X 2} \\= \frac{0.0125 +/-\sqrt{(0.00015625 - 288} }{4}\\= \frac{0.0125 +/-\sqrt{-287.9998} }{4}\\= \frac{0.0125 +/-16.97i }{4}\\=0.00313 + 4.24i or 0.00313 - 4.24i[/tex]
The factors of the equation are (t - 0.00313 -4.24i) and (t - 0.00313 + 4.24i)
So, (t - 0.00313 -4.24i)(t - 0.00313 + 4.24i) ≤ 0
(t - 0.00313)² - 4.24² ≤ 0
(t - 0.00313)² ≤ 4.24²
taking square-root of both sides,
√(t - 0.00313)² ≤ √4.24²
t - 0.00313 ≤ 4.24
t ≤ 4.24 + 0.00313
t ≤ 4.24313 ≅ 4.24
t ≤ 4.24
What is the length of side s of the square shown below?
Answer:
3√2
Step-by-step explanation:
Pythagoras says s²+s²=6²
so
2s² = 36
s = √18 = √9·2 = √3²·2 = 3√2
Answer:
C
Step-by-step explanation:
The diagonal splits the square into 2 right triangles with hypotenuse 6
Using Pythagoras' identity in one of the right triangles.
The square on the hypotenuse is equal to the sum of the squares on the other 2 sides, that is
s² + s² = 6²
2s² = 36 ( divide both sides by 2 )
s² = 18 ( take the square root of both sides )
s = [tex]\sqrt{18}[/tex] = [tex]\sqrt{9(2)}[/tex] = [tex]\sqrt{9}[/tex] × [tex]\sqrt{2}[/tex] = 3[tex]\sqrt{2}[/tex] → C
what is the midpoint of the line segment with endpoints (3.2,2.5) and (1.6,-4.5)?
Answer:
Midpoint: (2.4, -1)
Step-by-step explanation:
Midpoint Formula: [tex](\frac{x1+x2}{2} , \frac{y1+y2}{2} )[/tex]
With that in mind,
(3.2 + 1.6)/2 = 2.4
(2.5 - 4.5)/2 = -1
Answer:
(2.4, -1)
Step-by-step explanation:
To find the x coordinate of the midpoint, average the x coordinates
(3.2+1.6)/2 = 4.8/2 = 2.4
To find the y coordinate of the midpoint, average the y coordinates
(2.5+-4.5)/2 = -2/2 = -1
(2.4, -1)
Someone plsss plss help me ima cryy!!!
Answer:
1) Business costs less. It costs $8 less.
2) they cost the same at 14 HCF both equaling $24. Residential would cost more if it goes over 14 HCF per month.
Find the answers for A, b , and c.
Answer:
[tex] a = \boxed{3 }\: \: b = \boxed{6} \: \: c = \boxed{5}[/tex]
Step-by-step explanation:
[tex] {3}^{ \frac{6}{5} } \\ = \sqrt[5]{ {3}^{6} } \\ equating \: it \: with \\ \sqrt[c]{ {a}^{b} } \: we \: find \\ a = \boxed{3 }\: \: b = \boxed{6} \: \: c = \boxed{5}[/tex]
Step-by-step explanation:
Step-by-step explanation:
\begin{lgathered}{3}^{ \frac{6}{5} } \\ = \sqrt[5]{ {3}^{6} } \\ equating \: it \: with \\ \sqrt[c]{ {a}^{b} } \: we \: find \\ a = \boxed{3 }\: \: b = \boxed{6} \: \: c = \boxed{5}\end{lgathered}
3
5
6
=
5
3
6
equatingitwith
c
a
b
wefind
a=
3
b=
6
c=
5
x,y and z are three consecutive even numbers if y^2 - 2 = 2x + 5Z find x,y and z
Answer:
6, 8, 10
Step-by-step explanation:
x y and z are three consecutive even numbers
it means that you can write y = x + 2
and z = y + 2 = x + 4
so
[tex]y^2-2=2x+5z\\ <=> (x+2)^2-2=2x+5(x+4)\\<=>x^2+4x+4-2=2x+5x+20[/tex]
[tex]<=> x^2+4x+2=7x+20\\<=>x^2+4x+2-7x-20=0\\<=>x^2-3x-18=0\\<=>(x+3)(x-6)=0<=>(x=-3\ or \ x=6)[/tex]
so the solutions are
x = 6
y = 8
x = 10
Answer:
6, 8, 10
Step-by-step explanation:
x, y, z
y=x+2, z= x+4
y²- 2= 2x+5z(x+2)²- 2= 2x+ 5(x+4)x²+4x+4-2= 2x+5x+20x²-3x-18=0Solving the quadratic equation we get:
x=6, then y= 8, z= 10x= -3 discarded as odd numberF(x) = 3x + 1 and f^-1=x-1/3
then f(2)
Input:
{F(x) = 3 x + 1, 1/f = x - 1/3 f(2)}
Result:
{F(x) = 3 x + 1, 1/f = x - f(2)/3}
Alternate forms:
{3 x + 1 = F(x), 3 x = f(2) + 3/f}
{F(x) = 3 x + 1, f(2) = 3 x - 3/f}
{F(x) = 3 x + 1, 1/f = 1/3 (3 x - f(2))}
Alternate form assuming f and x are positive:
{3 x + 1 = F(x), 3 f x = f(2) f + 3}
Holly, the author, has written 160 pages of her next book. She needs to write a minimum of 20 pages per day to complete the expected 380 page book. Which inequality below expresses this situation?
Answer:
days ≤ 6
Step-by-step explanation:
she gas 160 pages out of the 380 pages, so she needs to write other:
380 - 160 = 120 pages.
If she writes a minimum of 20 pages per day, then the maximum number of days in which she will finish the book is:
20*d = 120
d = 120/20 = 6
so d is the number of days, and we have that:
d ≤ 6.
The equality is when she only writhes 20 pages per day, and if she writes more than that, then the number of days needed will be smaller than 6.
Which of the following is the shape of a cross-section of the figure shown below?
Answer:
B. Pentagon
Step-by-step explanation:
A cross-section is basically the 2D figure created by slicing through a 3D shape.
Take a look at this figure: it's a pentagonal prism. One note to remember is that for all prisms, their cross-sectional shapes are the same shapes as the shape of their bases.
Here, the two bases are pentagons, so we know the cross-section will be a pentagon.
Thus, the answer is B.
~ an aesthetics lover
answer and u will get branliest
Answer:
x = 360° - 132° - 54° - 90°
x = 84°
Step-by-step explanation:
total degree of a cirlce is 360°
Answer:
[tex]84 \: \: degrees[/tex]
Step-by-step explanation:
[tex]90 + 132 + 54 + x = 360 \\ 276 + x = 360 \\ x = 360 - 276 \\ x = 84 \: \: degrees[/tex]
The ratio of boys to girls in a group is 2:1. If there are 24 more boys than girls, work out how many boys there are.
Answer:
pls mark as brainliest
Step-by-step explanation:
let the ratio be= 2:1
let the boys be= 2x
let the girls be= 1x=x
x+24=2x
x-2x=-24
-x=-24
so the minus sign will cut
x=24
2x=2×24
Boys in the class are 48
hope it helps you
Answer:
48 boys
Step-by-step explanation:
girls: x, boys: 2x
x+24=2x
24=x
girls=24, boys=48
I'm taking a class in FLVS I finished segment 1 and I need to add another course for segment 2 and I don't know how to do that? Please help
Answer:
You could simply go to your course selection book (if there is one) and see if it's there. If not, then ask your guidance counselor for help or if you can automatically advance.
Step-by-step explanation:
A company makes 140 bags.
47 of the bags have buttons but no zips.
48 of the bags have zips but no buttons.
22 of the bags have neither zips nor buttons.
A bag is selected at random.
What is the probability that the bag has buttons
Answer: 0.5
Step-by-step explanation:
Total bags (U) = 140
Number of bags with both button and zip:
(48 + 47 + x + 22) = 140
117 + x = 140
x = 140 - 117
x = 23
Therefore, probability that bag has button :
Total Number of bags with button:
(Bags with button alone + bags with both button and zip)
(47 + 23) = 70
Probability = (required outcome / Total possible outcomes)
P(bag has button) = (number of bags with button / total number of bags)
P(bag has button) = 70/140 = 0.5
P(bag has button) = 0.5
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-2
-1
О
у
-2
1
4
7
10
1
2
What is the slope of the function?
Step-by-step explanation:
m=y2-y1/x2-x1
m=0-(-2)/4-2
m=2/2
m=1
Solve 2x2 + 12x = 10. (1 point) Select one: a. −3 ± square root 14 b. −3 ± 2 square root 2 c. −3 ± square root 19 d. −3 ± square root 29
Answer:
2x2−12x+7=0
a≠1,a=2 so divide through by 2
22x2−122x+72=02
which gives us
x2−6x+72=0
Step-by-step explanation:
The polynomial equation x6 - 16x2 - 4x4-64 has complex roots #2;. What are the other roots? Use a graphing calculator and
a system of equations.
-64,0
-2, 2
-1, 1
0,64
Answer:
It's B
Step-by-step explanation:
Edge 2021
The roots of the polynomial equation A = x⁶ - 16x² - 4x⁴ - 64 is given by the relations x₁ = -2 and x₂ = 2
What is a polynomial?Polynomials are mathematical expressions involving variables raised with non-negative integers and coefficients(constants who are in multiplication with those variables) and constants with only operations of addition, subtraction, multiplication and non-negative exponentiation of variables involved.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given data ,
Let the polynomial equation be represented as A
Now , the value of A is
A = x⁶ - 16x² - 4x⁴ - 64 be equation (1)
On simplifying , we get
The two roots of the polynomial are 2i and -2i
And , x⁶ - 16x² = 4x⁴ - 64
Taking x² as the common factor , we get
x² ( x² - 16 ) = 4 ( x⁴ - 16 )
when x = -2
4 ( 0 ) = 4 ( 16 - 16 )
0 = 0
when x = 2
4 ( 0 ) = 4 ( 16 - 16 )
0 = 0
Therefore , the roots of the equation are 2i , -2i , 2 and -2
Hence , the polynomial equation has roots 2i , -2i , 2 and -2
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what are the two consecutive numbers of 235
Answer:
117, 118
Step-by-step explanation:
if 2 consecutive numbers have a sum of 235, then
Let the 2 numbers be n and n+1
Given That:
n + n+1 = 235
Simplify and solve:
2n + 1 - 235
2n = 234
n = 117.
If n = 117, then n +1 = 118. These are the 2 consecutive numbers.
Hope this helps.
Good Luck
Answer:
236 AND 237
Step-by-step explanation:
Two consecutive numbers means next two continuous numbers
5a + 2b is a A) monomial B) binomial C) trinomial
Answer:
binomial
Step-by-step explanation:
A binomial is a polynomial with 2 terms
5a+2b has two terms
What is the range of f(x)?
-3-2, -1, 0.1
-2 -1 0.1
all real numbers such that -3
all real numbers such that -2
Answer:
.........................?
If x = 5 and y = x + 1 , find (x+y)+1/2
Pls quickly , ill mark branliest
Answer:
23/2
Step-by-step explanation:
If x = 5,
y = 5 + 1 = 6
(5+6) + 1/2 = 11 + 1/2 = 23/2
The function N(X) = 90(0.86)* + 69 can be used to predict the temperature of a
cup of hot chocolate in degrees Fahrenheit after x minutes. What is the
approximate average rate of change of the temperature of the hot chocolate, in
degrees per minute, over the interval [0, 6]?
1.
-8.93
2.
-0.11
3.
0.11
4.
8.93
Answer: -8.93
Step-by-step explanation:
Given the function:
N(X) = 90(0.86)^x+ 69
X in the interval [0, 6]
For X = 0
N(0) = 90(0.86)^0 + 69
90 + 69 = 159
For X = 6
N(6) = 90(0.86)^6 + 69
90(0.404567235136) + 69
= 105.41105116224
Therefore, average change of change in temperature ;
(temp 2 - temp 1) / ( time 2 - time)
(105.41105116224 - 159) / (6 - 0)
= - 53.58894883776 / 6
= - 8.93149147296
= - 8.93
The approximate average rate of change of the temperature of the hot chocolate, in degrees per minute, over the interval [0, 6] is;
Option 1; -8.93
We are given the function;
N(x) = 90(0.86)ˣ + 69
We want to find the average rate of change over the interval (0, 6).
Thus;
N(0) = 90(0.86)⁰ + 69
N(0) = 90 + 69
N(0) = 159°
N(6) = 90(0.86)⁶ + 69
N(6) = 105.411°
Formula for rate of change is;
Rate of change = Δy/Δx
Thus; Rate of change = (159 - 105.411)/(0 - 6)
Rate of change = -8.93
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Every _____ tessellates
Answer:
Every hexagon tessellates.
Step-by-step explanation:
Hexagons always tessellates when perfectly combined and aligned especially when the x sides and the y sides are parallel to each other.
please help fast please
Answer:
here
Step-by-step explanation:
a= 4. 8, 12
b= 4, 7, 10
d= 3, 6, 11
e= 3, 12, 27
f(x) = x^2. What is g(x)?
Answer:
B
Step-by-step explanation:
The coordinates are (1, 9).
x = 1
y = 9
Put x as 1, and the output should be 9.
g(1) = ( 3 (1) )²
g(1) = (3)²
g(1) = 9
Answer:
b
Step-by-step explanation:
B is correct since you could use a graphing calculator to solve this by plugging each answer choice into the calc.
another way is to plug 1 or x into each of the equations and see which choice has 9 as y
What is the area of the parallelogram if each square is 1 square foot? a. 12 ft ³ b. 12 ft ² c. 12 d. 12 feet
Answer:
B. 12 ft²
Step-by-step explanation:
Area of a parallelogram is equal to the product of its base and its height.
b × h
4 × 3 = 12
The area of the parallelogram is 12 feet squared.