Answer:
78 square units
Step-by-step explanation:
Length of the rectangle:
[tex]f(x)=x+3[/tex]Width of the rectangle:
[tex]g(x)=6x-5[/tex]The area of a rectangle can be calculated by multiplying the length by the width. Therefore, the equation for the area of the rectangle with the given length and width is:
[tex]\begin{aligned}\implies \textsf{Area}&=\sf length \times width\\& = f(x) \cdot g(x)\\&=(x+3)(6x-5)\\&=6x^2-5x+18x-15\\&=6x^2+13x-15\end{aligned}[/tex]
To find the area of the rectangle if x = 3, substitute x = 3 into the found equation:
[tex]\begin{aligned}\implies \textsf{Area}&=6x^2+13x-15\\&=6(3)^2+13(3)-15\\&=6(9)+13(3)-15\\&=54+39-15\\&=93-15\\&=78\;\; \sf square \; units\end{aligned}[/tex]
Therefore, the area of the rectangle is 78 square units.
I don't understand how to do this problem 3x + y =9
Answer:
35
Step-by-step explanation:
PLEASE HELP ME I NEED TO TIRN THIS IN AND I DONT KNOW HOW TO DO THIS !
Answer:
what grade is this ?
Step-by-step explanation:
(WILL GIVE BRAINLYIST IF ANSWER IS RIGHT!)
Choose all the expressions that is equal to 0.25(4y - 36)
1. Y - 9
2. -18/2 - y
3. 0.25y - 36
4. -1/2(-2y + 18)
Answer:
The answer is 1 and 4
Step-by-step explanation:
.25 x 4y = Y
36 divided by 4 = 9
In a recent survey of 655 working americans ages 25-34, the average weekly amount spent on lunch was $43.29 with standard deviation $2.75. The weekly amounts are approximately bell-shaped
Answer:
99.7%
Step-by-step explanation:
Given that:
sample size (n) = 655
sample mean ([tex]\overline x[/tex]) = 43.29
Standard deviation [tex]\sigma[/tex] = 2.75
Let's assume we are to estimate the percentage between $33.72 and $51.54
Then;
The test statistics at 33.72 is :
[tex]Z = \dfrac{X - \mu}{\sigma}[/tex]
[tex]Z = \dfrac{33.72 -43.29}{2.75}[/tex]
[tex]Z = -3.48[/tex]
Z at 51.54
[tex]Z = \dfrac{X - \mu}{\sigma}[/tex]
[tex]Z = \dfrac{51.54 -43.29}{2.75}[/tex]
[tex]Z = 3.00[/tex]
Using the empirical standard rule, the percentage will be 99.7%
Find the slope of the line represented by the table of values.
A)
12
5
B)
D)
Answer:
B 4456448444424346464646464664646464
Write your answer in scientific notation.
(5.1x10^7)+(1.3 x 10^6)
EDGE20 ASSIGNMENT, WILL MARK BRAINLIEST FOR WHOLE ASSIGNMENT Quadratic in Form Polynomials
Assignment
Active
Practice writing as a quadratic.
ASSIGNMENT
Answer:
[tex] \bold{ \red{{y}^{2} + 7y - 8 = 0}}[/tex]
Step-by-step explanation:
[tex] {(3x + 2)}^{2} + 7 {(3x + 2)} - 8 = 0 \\ \\ plug \: (3x + 2 )= y \\ \\ so \: above \: quadratic \: equation \: \\transforms \: to \\ \\ \bold{ \red{{y}^{2} + 7y - 8 = 0}}[/tex]
A movie theater is offering a special summer pass. Passholders pay $8 per movie for the first 5 movies and watch additional movies for free, up to a maximum of 15 movies. The function C gives the total cost, in dollars, for a passholder to watch n movies.
Is function C a piecewise function? Explain your reasoning.
probably it's 8 or 4. and as $8 is the initial fee, that sounds like the starting value. :-)
the line equation you need is the slope intercept form y = mx + b where m = gradient and b = y intercept.
in this case, y = 4x + 8 where x = number of movies seen, and y = total cost in $
for this line m = 4 and b = 8. hence, indeed, the y intercept is 8
Mark as brainlist
Answer:
Step-by-step explanation:
C is a piecewise function because it represents more than one type of deal.
In comparing the two written forms of a sequence, which is easier to find a50, the explicit form or the recursive form?
Answer:
Explicit
Step-by-step explanation:
Given
[tex]Term: a_{50[/tex]
Required
Explicit or Recursive; which is easier
The explicit form is easier.
Take for instance, the explicit form of the sequence is:
[tex]a_n = 2n + 1[/tex]
And the recursive form is:
[tex]a_n = a_{n-1} + 2[/tex]
To find [tex]a_{50}[/tex] in [tex]a_n = 2n + 1[/tex]
You simply substitute 50 for n and then solve for [tex]a_n[/tex]
Which gives:
[tex]a_{50} = 2*50 + 1 = 101[/tex]
The case is different in: [tex]a_n = a_{n-1} + 2[/tex]
First, you substitute 50 for n
[tex]a_{50} = a_{50-1} + 2[/tex]
[tex]a_{50} = a_{49} + 2[/tex]
Next, you need to calculate a49.
This action continues until you get to a1
Then you evaluate the corresponding expressions from a1 to a49 before you get a50.
Hence, the explicit form is easier.
What are the answers
2x = 10; x=?
-3x = 21;x=?
1/3x=6; x=?
-1/2x = -7;x?
Answer:
1) 5 2)7 3)18 4) 14
Step-by-step explanation:
A spherical balloon has a diameter of 4 feet. Approximate how many cubic feet of air this balloon holds. Use 3.14 as an approximation for pie, and give a numerical answer.
Answer:
3.764
Step-by-step explanation:
just try matgs is a tough de partoeAP Calc BC help!
Can someone explain how to do these problems? I care more about the explanation than the actual answer! My course never taught me how to do these kinds of problems.
Thank you!!
Answer:
Question 1) 72
Question 2) 40
Question 3) Both C and D.
Question 4) Both A and C.
Step-by-step explanation:
Question 1)
We are given that:
[tex]\displaystyle \int_1^5f(x)\, dx=8\text{ and we want to find} \int_1^5xf'(x)\, dx[/tex]
We will use integration by parts, given by:
[tex]\displaystyle \int_a^b u\, dv=uv-\int_a^b v\, du[/tex]
We will let:
[tex]u=x\Rightarrow du=dx\text{ and } dv=f'(x)\, dx \Rightarrow v=f(x)[/tex]
Therefore:
[tex]\displaystyle \int_1^5xf'(x)\, dx=xf(x)\Big|_1^5-\int_1^5f(x)\, dx[/tex]
Substitute:
[tex]\displaystyle \int_1^5xf'(x)\, dx=(5(f(5))-(1(f(1))-(8)[/tex]
Evaluate:
[tex]\displaystyle \int_1^5xf'(x)\, dx=75-(-5)-8=72[/tex]
Question 2)
Similarly, we will let:
[tex]\displaystyle u=x\Rightarrow du=dx\text{ and } dv=f'(x)\, dx \text{ so } v=f(x)[/tex]
Hence:
[tex]\displaystyle \int_0^3 xf'(x)\, dx=xf(x)\Big|_0^3-\int_0^3f(x)\, dx[/tex]
Evaluate:
[tex]\displaystyle \int_0^3 xf'(x)\, dx=(3f(3))-(0(f(0))-(2)[/tex]
Thus:
[tex]\displaystyle \int_0^3 xf'(x)\, dx=3(14)-2=40[/tex]
Question 3)
We are given:
[tex]\displaystyle g(x)=\int_4^xf(x)\, dx[/tex]
By the Fundamental Theorem of Calculus:
[tex]g'(x)=f(x)>0[/tex]
The derivative of g is always positive. So, the values of g are always increasing.
The tables that reflect this are C and D.
And there are, as I understand it, no way to determine their exact values. Both C and D are correct.
Question 4)
Similarly, we are given:
[tex]\displaystyle g(x)=\int_{-2}^xf(x)\, dx[/tex]
By the FTC:
[tex]g'(x)=f(x)<0[/tex]
So, g should be decreasing for all x.
The tables that reflect this are A and C.
So, both A and C are correct.
the square of a number is 16 do you know the number
Answer:
4
Step-by-step explanation:
4 squared, which is the same thing as 4 times 4, is 16.
[tex]4^2=16[/tex] or [tex]4 * 4 = 16[/tex]
you can check your answer by finding the square root of 16.
[tex]\sqrt{16}=4[/tex]
i hope this helps! have a nice day <3
answer Pls Gyys Options i
Answer:
Step-by-step explanation:
1301/100 is the correct answer
A: 5x²+3xy +2y B: 2y²-xy +4x²
С: 12xy+4x²-3y. then :- 1) А-В-С , 2) 2A+3B+4C 3)3A-4B--2C. pls help me will mark u as brainliest
Answer:
-3x² -2y² -8xy +5y
34x² + 51xy - 8y + 6y²
7x² - 11xy +12y - 8y²
Step-by-step explanation:
Given:
A: 5x²+3xy +2y
B: 2y²-xy +4x²
С: 12xy+4x²-3y
Find:
1) А-В-С
2) 2A+3B+4C
3) 3A-4B--2C
Computation:
1) А-В-С
5x²+3xy +2y - [2y²-xy +4x²] - [12xy+4x²-3y]
5x²+3xy +2y -2y² +xy -4x² -12xy -4x²+3y
-3x² -2y² -8xy +5y
2) 2A+3B+4C
2[5x²+3xy +2y]+3[2y²-xy +4x²]+4[12xy+4x²-3y]
10x² + 6xy + 4y + 6y² - 3xy + 8x² + 48xy + 16x² - 12y
34x² + 51xy - 8y + 6y²
3) 3A-4B-2C
3[5x²+3xy +2y]-4[2y²-xy +4x²]-2[12xy+4x²-3y]
15x² + 9xy + 6y -8y² + 4xy - 16x² - 24xy - 8x² +6y
7x² - 11xy +12y - 8y²
Select the correct answer from each drop-down menu. Simplify the given polynomial and use it to complete the statement. The polynomial simplifies to an expression that is a with a degree of .
Answer:
The answer is below
Step-by-step explanation:
Select the correct answer from each drop-down menu. Simplify the given polynomial and use it to complete the statement.
(-5x² - 2x + 4) + (8x² - x - 1) + (x + 2)(x - 5)
.The polynomial simplifies to an expression that is a____
A.quadratic
B.liner
C.constany
A.trinomial
B.binomial
C.monomial
with a degree of____
A.1
B.2
C.0
Solution:
A polynomial is an expression involving operations of addition, subtraction, multiplication, exponents which consists of variables and their coefficient. A trinomial is a polynomial consisting of three terms, while a binomial consist of two terms and a monomial consist of one term.
The degree of a polynomial is the highest degree of any of the terms of the polynomial. If it has a degree of 0 it is a constant, a degree of 1 it is linear while for a degree of 2 it is quadratic.
(-5x² - 2x + 4) + (8x² - x - 1) + (x + 2)(x - 5)
= (-5x² - 2x + 4) + (8x² - x - 1) + (x² -5x + 2x - 10)
= (-5x² - 2x + 4) + (8x² - x - 1) + (x² - 3x - 10)
= (-5x² + 8x² + x² - 2x - x - 3x + 4 - 1 - 10)
= 4x² - 6x - 7
Therefore:
.The polynomial simplifies to an expression that is a quadratic trinomial of degree 2.
Rodrigo plans to buy packs of baseball cards until he gets the card of his favorite player, but he only has enough money to buy at most three packs. Suppose that each pack has a 10 % 10%10, percent chance of containing the card Rodrigo is hoping for. The table below displays the probability distribution of X XX, the number of packs of cards Rodrigo buys. X = # of packs X=# of packsX, equals, \#, start text, space, o, f, space, p, a, c, k, s, end text 1 11 2 22 3 33 P ( X ) P(X)P, left parenthesis, X, right parenthesis 0.10 0.100, point, 10 0.09 0.090, point, 09 0.81 0.810, point, 81 Calculate the mean of X XX.
Answer: 2.71 packs
Step-by-step explanation:
can someone help me plz
Answer:
Step-by-step explanation:
(2-4x)+(2-4x)+(-2x+8)=12-10x
yayyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyy
Answer:
It b
Step-by-step explanation:
We know this because 1/2 is 0.5 while 2/3 is 0.67. With this we can say that 1/2 is least than 2/3
Hope this Helped
If the cocoa to water ratio for a hot chocolate recipe is 1 tablespoon cocoa to 1⁄4 cup water, how much cocoa do you need if you use 1.5 cups of water?
solve : 105/103 = _____
Answer:
1.02
Step-by-step explanation:
hi can u please help solve this. something with conjugnates.
Answer:
Use mathcway its 2 ez with that page trust me bro
Step-by-step explanation:
No cap
5 10 okey espero te sirva
circumference and area of radius 42
Answer:
Area = 5542.488 unit^2
Circumference= 263.9 units
Step-by-step explanation:=
Given data
Radius= 42 units
Circumference= 2πr
C= 2*3.142*42
C=263.9 units
Area= πr^2
A= 3.142* 42^2
A= 3.142* 1764
A= 5542.488 unit^2
answer my question PLEASE
Answer:
130
Step-by-step explanation:
6/3 + -1/6 reduce this equation to the simplest form
Answer:
12/6-1/6=11/6 simplified to 1 5/6
Step-by-step explanation:
to make this easier make sure all fractions have the same denominator 6/3x2/2=12/6 since they now have the same denominator add 12/6+-1/6=11/6
adding a negative(6/3+-1/6) is the same as subtracting a positive(6/3-1/6)
Answer:
1 5/6
hope this helps :)........
I need help with this question!
Answer:
sorry but don't know this answer
A number is multiplied by 6, and the result is 48.6.
Answer:
8.1
Step-by-step explanation:
We denote the number as x.
6 * x = 48.6
We can divide both sides by 6 to get,
x = 8.1
Answer:
8.1
Step-by-step explanation:
Let the unknown number be n. Translating this statement into symbols, we get:
6n = 48.6
Solving for n by dividing both sides by 6, we get n = 8.1
The number is 8.1
answer asap!!! PLS HELP.
what is the value of x in the figure??
a. 90
b. 60
c. 120
d. 30
Answer:
Step-by-step explanation:
the x is 30
60=2x
x=30
Answer:
d
Step-by-step explanation:
its d i think
One half of a watermelon is shared among 6 people what is the fraction of how much each will get?
Answer:
1/12
Step-by-step explanation:
hey can u answer my math question look atbthe picture to see
the pic.
Answer:
4 3/4 yards
Step-by-step explanation:
5 1/4 + 2 1/2 = 7 3/4
(1/2 is equal to 2/4)
12 1/2 - 7 3/4 = 4 3/4
Hope this helps, mark me brainliest if it does! :)
Answer:
[tex]4\frac{3}{4} [/tex]
Jotted Solution: