Answer:
h(j+1) = 4j² +11j +5
Step-by-step explanation:
A function is evaluated for a specific argument by substituting that argument for the variable in the function's expression. Then the expression is simplified.
__
For function ...
h(x) = 4x² +3x -2
The value of h(j+1) is ...
[tex]h(j+1)=4(j+1)^2 +3(j+1)-2\\\\= (4(j+1)+3)(j+1)-2=(4j+7)(j+1)-2=4j^2+11j+7-2\\\\\boxed{h(j+1)=4j^2+11j+5}[/tex]
The perimeter of a rectangle is given by P = 2(L + B) where L and B are the lengths of the sides. Find P when L= 17 and B = 13.
Answer:
60.
Step-by-step explanation:
P = 2( 17 + 13)
= 2 * 30
= 60
Hi i would give brainlist (Which function best models the following table?
Answer:
A is the answer Have a great day
Step-by-step explanation:
does someone mind helping me with this problem? Thank you!
[tex]\qquad\qquad\huge\underline{{\sf Answer}}[/tex]
Let's calculate its surface area ~
[tex] \sf SA = Area (2 × \triangle) + Area ( three \: \square)[/tex]
[tex] \sf SA =(2 \cdot \dfrac{1}{2} \cdot8 \cdot6 ) + (7 \cdot10) + (7 \cdot 8) + (7 \cdot6)[/tex]
[tex] \sf SA =(48 ) + (7 0) + (56) + (42)[/tex]
[tex] \sf SA =216 \: m {}^{2} [/tex]
lets write the possible subset of the following sets and list the proper subset separately
An improper subset of set T contains all the elements of set T and a null element. The improper subset of set T is {2,3}
What is a subset?In mathematics, set A is a subset of a set B if all elements of A are also elements of B; B is then a superset of A. It is possible for A and B to be identical;
A) Integers are whole numbers (without fractions) that are either positive or negative. If T={x:X is an integer between 1 and 4}, therefore the elements in set T = {2, 3}
B) Since the elements in set T = {2, 3}, then the number of elements in set T = 2
C) The subsets of set T are {}, {2}, {3} and {2,3}
D) Proper subset of set T are subsets of T that is not equal to T. The proper subsets of T are {2} and {3}
An improper subset of set T contains all the elements of set T and a null element. The improper subset of set T is {2,3}
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Solve the following inequalities by expressing the solution in interval form and on the number line:
a)-9x+7>16+12x
b)18+13x<14x-11
2)a)-3 5/2 - 7/4 . 14/15+(-3/10)²:4/5-2.3/7
The value of x is from negative infinity to negative 3/7 and 29 to positive infinity.
What is inequality?Inequality is defined as an equation that does not contain an equal sign. Inequality is a term that describes a statement's relative size and can be used to compare these two claims.
The inequality equations are given below.
a) - 9x + 7 > 16 + 12x
b) 18 + 13x < 14x - 11
Then
a) - 9x + 7 > 16 + 12x
Solving for x, we have
21x < -9
x < -3/7
The value of x is less than the negative of 3/7.
b) 18 + 13x < 14x - 11
Solving for x, we have
x > 29
The value of x is greater than 29.
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Which of the following is the function represented
by the graph?
O
1
y=
-5
(x+3)
1
y=
(x-3)
y=
(x+5)
1
y =
(x - 5)
O
O
O
+5
-3
+3
Answer:
the last (4th) option
Step-by-step explanation:
the easiest way to find the right answer :
which of the 4 answers would deliver infinity for x = 5 ?
and that is only answer 4, as x = 5 creates 0 in the denominator of the fraction, which leads to the infinity break at that point in the functional curve.
other indications :
the smaller x, the more the denominator goes to -infinity, and the bigger x, the more the denominator goes to +infinity.
and that means the whole fraction goes to 0. and we are left for the function limit with the constant added at the end of the function.
looking at the graph, this has to be +3.
and again, only the 4th answer has "+3" at the end.
The function represented by the graph is y = 1(x - 5) + 3.
Option D is the correct answer.
What is a function?A function has an input and an output.
A function can be one-to-one or onto one.
It simply indicated the relationships between the input and the output.
Example:
f(x) = 2x + 1
f(1) = 2 + 1 = 3
f(2) = 2 x 2 + 1 = 4 + 1 = 5
The outputs of the functions are 3 and 5
The inputs of the function are 1 and 2.
We have,
The equation y = 1/(x - 5) + 3 represents a rational function with a vertical asymptote at x = 5.
This means that the graph of the function gets closer and closer to the vertical line x = 5, but never touches or crosses it.
The graph of the function also has a horizontal asymptote at y = 3.
This means that as x approaches infinity or negative infinity, the value of the function approaches 3.
The function has a y-intercept at (0, -4), where x = 0 and y = 1/(-5) + 3 = -4.
Thus,
The function represented by the graph is y = 1(x - 5) + 3.
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5. Find the area of the figure below:
5 cm
4 cm
2cm
5 cm
Answer:
33 cm^2
Step-by-step explanation:
To find the are of the figure as a whole, find the area of each rectangle individually and then add them together.
The area of a rectangle is [tex]A = bh[/tex], so the area of the small rectangle would be [tex]4*2[/tex], or [tex]8cm^2[/tex].
The area of the larger rectangle would be [tex]5*5[/tex], or [tex]25cm^2[/tex].
So, adding those areas together, we get [tex]33cm^2[/tex] as the area of the whole figure.
If the current age is considered as x, 13 years ago he was x-13 and in 11 years he will be x+11:
Answer:
Therefore, Peter is 21 years old.
Step-by-step explanation:
[tex]\bf{ x+11=\dfrac{(x-13)^2}{2} \ \Longrightarrow \ 2x+22=x^2-26x+169 }[/tex]
[tex]\bf{ 0=x^2-28x+147=(x-21)(x+7) }[/tex]
The cost $C$ (in dollars) of making a square window with a side length of $n$ inches is represented by $C=\frac{n^2}{5}+175$
. A window costs $355. What is the side length (in feet) of the window?
The side length (in feet) of the square window which has the cost of making equal to $355 is 30 feet.
What is a mathematical model?A mathematical model is the model which is used to explain the any system, the effect of the components by study and estimate the functions of systems.
The cost (in dollars) of making a square window with a side length is C. the length of side of the window is n.
The model, which represent the cost of window in dollar, is,
C=(n²/5)+175
A window costs $355. Thus, C=355. Put this value in above model as,
355=(n²/5)+175
355-175=(n²/5)
180 x 5=n²
n=√(900)
n=30
Hence, the side length (in feet) of the square window which has the cost of making equal to $355 is 30 feet.
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Ashmita is 63 inches tall. How does her height compare with the other AP Stats students in her class?
Answer:
Using Logic...she is shorter than most children at that level.
Step-by-step explanation:
Ashmita is 63 inches tall which is 5 foot 3. or 5.25 feet
When AP stats starts you should be in Highschool.
Here are the averages of highschool students, in height.
14 years = 5ft 4.5in (163.8 cm) 5ft 2.5in (158.7 cm)
15 years = 5ft 7in (170.1 cm) 5ft 2.9in (159.7 cm)
16 years = 5ft 8.3in (173.4 cm) 5ft 4in (162.5 cm)
17 years = 5ft 9in (175.2 cm) 5ft 4in (162.5 cm)
..................................
Answer:
..................................
Step-by-step explanation:
Answer:
..................................
Step-by-step explanation:
No clear question so the answer is the question
Justin earns an annual salary of $48,000, which is paid monthly. This month Justin had the following deductions:
Federal and state income taxes
$650
Social Security and Medicare taxes
$248
Health insurance premiums
$350
Retirement plan contribution 5% of salary
What is Justin's net pay for the month?
Answer:
$2552
Step-by-step explanation:
First you have to find Justin's monthly salary. You do this by dividing his annual salary by 12 months. 48000/12 = 4000 This means Justin makes $4000 each month. Next we have to find what 5% of that is, in order to know how much his retirement plan contribution costs. To do this you divide 4000 by 100 to know how much 1% of his monthly salary is, and then you multiply that by 5 to know how much 5% of his monthly salary is. 4000/100 = 40 40x5 = 200 .We now know his retirement plan contribution each month costs $200. Now we need to know how much to subtract from his monthly salary to get his net pay for the month. We can do this by adding all of his monthly expenses together and then subtracting that total from 4000. 650+248+350+200 = 1448 4000-1448 = 2552 Justin's net pay for the month is $2552
What’s the next sequence
Donna earns $1,404 per week at her job. However, 19% of her income gets taken out in taxes, and 12% of her income gets taken out and put into her retirement account. Which is a reasonable estimate of the amount Donna is left with each week after the money is deducted?
Answer:
About 969 dollars
Step-by-step explanation:
I kind of did it the long way. I divided $1,404 by 100 and multiplied by 19. Did the same thing with 12. Added the product of those together and subtracted from 1,404.
(1,404÷100)19 + (1,404÷100)12 = 435.24
1,404 - 435.24 = 968.76
Since it was an estimate I rounded it to the nearest whole number and got 969
Hope this helps. There are probably better methods to solve this problem but this was my way.
In the circle below, QR is a diameter and QT is tangent at Q. Suppose m QRS = 212°. Find the following.
(a) m/SQT =
(b) m/RQS =
Using the tangent theorem and the inscribed angle theorem, we have:
a. m∠SQT = 74°; b. m∠RQS = 16°.
What is the Tangent Theorem?Angle formed at the point of tangency between the tangent and the radius of a circle = 90 degrees based on the tangent theorem.
What is the Inscribed Angle Theorem?The inscribed angle theorem states that, measure of inscribed angle = 1/2(measure of intercepted arc).
a. Find m(SQT):
m∠RQT = 90° [tangent theorem]
m(QR) = 180° [semicircle]
m(QRS) = 212° [given]
m(RS) = m(QRS) - m(QR) = 212 - 180 = 32°
m∠RQS = 1/2[m(RS)] [inscribed angle theorem]
m∠RQS = 1/2(32)
m∠RQS = 16°
m∠SQT = m∠RQT - m∠RQS = 90 - 16
m∠SQT = 74°
b. m∠RQS = 1/2(32)
m∠RQS = 16°
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please please help me i will give you a ton of points
Answer:
Step-by-step explanation:
(d). V ≈ 3016
S.A. ≈ 2261
1. Find the variation constant and an equation of variation where y varies directly as x and y=9 when x=1.
Answer:
k = 9
y = 9x
Step-by-step explanation:
Variation Constant Formula :
k = y/xk = 9/1k = 9Equation :
y = kxy = 9xAnswer:
[tex]y = x \\ the \: constant \: k \: will \: be \: y = kx \\ therefore \: if \: y = 9 \: and \: x = 1 \\ the \: equation \: will \: be \: 9 = k(1) \\ this \: gives \: k = 9 \\ therefore \: to \: represent \: in \: equation \: it \: will \: be \\ y = 9x[/tex]
Suppose that 30 percent of the bottles produced in a certain plant are defective. If a bottle is defective, the probability is 0.9 that an inspector will notice it and remove it from the filling line. If a bottle is not defective, the probability is 0.2 that the inspector will think that it is defective and remove it from the filling line.
a. If a bottle is removed from the filling line, what is the probability that it is defective?
b. If a customer buys a bottle that has not been removed from the filling line, what is the probability that it is defective?
The probability that a bottle on the line is defective and removed is 0.27 and the probability that a bottle on the line is defective and not removed is 0.03
The probability that a bottle on the line is defective?The given parameters are:
P(Defective) = 30%P(Remove) = 0.9P(Not defective and remove) = 0.2The probability that a bottle on the line is removed if defective is:
P = P(Defective) * P(Remove)
This gives
P = 30% * 0.9
Evaluate
P = 0.27
Hence, the probability that a bottle on the line is defective and removed is 0.27
The probability that a bottle not on the line is defective?This probability is represented as:
Defective and Not removed
It is calculated as:
P = P(Defective) * P(Not Remove)
Using the complement rule, the probability that a defective bottle would not be removed is:
P(Not Remove) = 1- P(Remove)
P(Not Remove) = 1 - 0.9 = 0.1
So, we have:
P = 30% * 0.1
Evaluate
P = 0.03
Hence, the probability that a bottle on the line is defective and not removed is 0.03
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Which statement about the equation is true?
5(d + 11) = 2(d - 19)
A. The equation has precisely one solution.
B. The equation has precisely two solutions.
c. The equation has infinitely many solutions.
D. The equation has no solutions.
Answer:
The answer is A.
Step-by-step explanation:
If you put it in Desmos Graphing Calculator it will show the one solution is (-31, -100).
please mark brainliest
(-10)-(-6) ( subtracting integers)
Negative when subtracted is counted as positive because negative multiplied with negative gives positive
-10-(-6)
-10+6
-4 answer
Answer:
-4
Step-by-step explanation:
(-10)-(-6)=
-10 + 6=
-4
hope this helps
have a good day
HELP ASAP WILL MARK AS BRAINLIST IF YOU SOLVE 2 OF THESE QUESTIONS
1. What base 10 number does 257 eight represent
2. A new operation, #, is defined this way: m#n=m^2-mn. Find the value of 7#(3#2).
Answer:
1. 175
2. 28
Step-by-step explanation:
If you're converting from another base, just multiply each digit, then add up the numbers:
ones digit × 8^0,
tens digit × 8^1
hundreds × 8^2
see image.
The second problem gives you a new operation. Follow the rule by squaring the first number and taking away the first×second. Do the parenthesis first!
see image.
the area is 72 square meters. the lenght is 9 meters. what is the width
Answer: 8 meters
Step-by-step explanation: 72/9 = 8
Answer:
8 meters
Step-by-step explanation:
Since there is so little information given, I'm assuming this is just the area of a rectangle. The formula you used to find the area of a rectangle is "area = length * width" or "A = l*w".
We are given the area and the length, so we can fill in those spaces in the formula-
72 = 9 * w
Now, in order to find the width. we have to undo in reverse order. We have to divide 72 by 9.
72 (/ 9) = 9 * w (/ 9)
8 = w
Therefore, the width is 8 meters. I hope this helps! Have a lovely day!! :)
Select the graph of the equation below.
y= 3 over 2 x²+4x-2
if f(x) = 7 x - 3 and g(x) = x^2 - 4x - 8 find (f+g)(x)
Answer:
x² + 3x - 11
Step-by-step explanation:
Adding functions: (f + g)(x) is equivalent to f(x) + g(x)
Here, we are given:
f(x) = 7x - 3g(x) = x² - 4x - 8Simplify:
(7x - 3) + (x² - 4x - 8)
7x - 3 + x² - 4x - 8
x² + 3x - 11
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Determine whether the value of each power is positive or negative.
(-10)
Positive
Negative
(-3)
(-2)
(-1)
(-6)
(-4)
Done
Intro
Answer:
answer in picture
Step-by-step explanation:
What is the solution to this system of equations? 2x + 2y = 8 and 4x + 3y = 16
Answer:
y=0, x=4
Step-by-step explanation:
2x+2y=8 --- (1)
4x+3y=16 --- (2)
Multiply the coefficient of x in equation (1) across the variables in equation (2), and multiply the coefficients of x in equation (2) across the variables in equation (1).
8x+8y=32 ---- (3)
8x+6y=32 ---- (4)
Subtract equation (3) from (4)
2y=0, y=0/2, y=0.
Substitute the solution for y=0 into equation (1)
2x+2(0)=8
2x=8
x=4
Compare 2 similar cones...
Answer:
3:1.
Step-by-step explanation:
21:7
= 3:1.
What is the probability of getting a number greater than or equal to 5 when rolling a number cube numbered 1 to 6?
A.1/5
B.1/6
C.1/3
D.2/5
Answer:
C. 1/3.
Step-by-step explanation:
There are 2 favourable outcomes:
a 5 or a 6.
So that is 2 numbers out of 6.
Therefore the probability is 2/6
= 1/3.
36) A new car dealership celebrated its grand opening by awarding prizes to 10 buyers. Five of
the buyers received a cash prize of $500, and 3 buyers received a cash prize of $1000. Two
buyers received $2500. If one of the buyers receiving a prize is selected at random, what is the
probability that the buyer received $2500?
Answer:
.20
Step-by-step explanation:
Find the length of ST. ST=?
Answer:
ST = 7
Step-by-step explanation:
By the theorem of intersecting secants outside of a circle, we have:[tex]RS(RS +ST) = RQ (RQ+QP)[/tex][tex]\implies 11(11 +ST) = 9 (9+13)[/tex][tex]\implies 11(11 +ST) = 9 *22[/tex][tex]\implies 11 +ST =\frac{ 9 *22}{11}[/tex][tex]\implies 11 +ST =18[/tex][tex]\implies ST =18-11[/tex][tex]\implies\huge\orange{\boxed{ ST =7}}[/tex]