Answer:
It is a perfect square. Explanation below.
Explanation:
Perfect squares are of the form
(
a
+
b
)
2
=
a
2
+
2
a
b
+
b
2
. In polynomials of x, the a-term is always x.(
(
x
+
c
)
2
=
x
2
+
2
c
x
+
c
2
)
x
2
+
8
x
+
16
is the given trinomial. Notice that the first term and the constant are both perfect squares:
x
2
is the square of x and 16 is the square of 4.
So we find that the first and last terms correspond to our expansion. Now we must check if the middle term,
8
x
is of the form
2
c
x
.
The middle term is twice the constant times x, so it is
2
×
4
×
x
=
8
x
.
Okay, we found out that the trinomial is of the form
(
x
+
c
)
2
, where
x
=
x
and
c
=
4
.
Let us rewrite it as
x
2
+
8
x
+
16
=
(
x
+
4
)
2
. Now we can say it is a perfect square, as it is the square of
(
x
+
4
)
.
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?
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:
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.
I don't understand how to do this problem 3x + y =9
Answer:
35
Step-by-step explanation:
Find (-5x + 6) - (-2x - 7)
Can someone solve these for me I have no idea what to do and it has to be turns in within an hour
Answer:
Step-by-step explanation:
Subtract second equation from first equation to eliminate x
2x+6y-2x+10y=17-9
16y=8
y=1/2, use either original equation to solve for x
2x+6y=17 becomes
2x+6(1/2)=17
2x+3=17
2x=14
x=7 so the solution is the point (7, 1/2)
We can multiply the first by -2 and add it to second equation to eliminate x.
-2(3x-4y)+6x+3y=-2(-10)-42
-6x+8y+6x+3y=20-42
11y=-22
y=-2 using 3x-4y=-10 becomes
3x-4(-2)=-10
3x+8=-10
3x=-18
x=-6 so the solution is the point (-6,-2)
So you should be able to see how to solve the other two.
Answer:
Question 1: x = 7, y = [tex]\frac{1}{2}[/tex]
Question 2: x = -6, y = -2
Question 3: x = -1, y = 9
Question 4: There is no solution.
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 partoeplease help me I will give brainlist
Answer:
3 + 2n
Step-by-step explanation:
2 + 1 = 3.
2n cannot be added into this because it has a letter in front of it. Therefore, it stays on its own.
2n + 3
1 and 3 are like terms, and because there are no more variables, the 2n will stay alone :)
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.
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
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]
AP 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.
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:
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
I need help with this question!
Answer:
sorry but don't know this answer
5 consecutive odd number between 40 and 60
Answer:
47 49 51 53 55
Step-by-step explanation:
Consecutive: following one another in uninterrupted succession or order; successive: six consecutive numbers, such as 5, 6, 7, 8, 9, 10. marked by logical sequence. Grammar. expressing consequence or result: a consecutive clause.
Odd number between 40 and 60: 41, 43, 45, 47, 49, 51, 53, 55, 57, 59
Answer:
The answer is 41, 43, 47, 49 and 51
Find the slope of the line represented by the table of values.
A)
12
5
B)
D)
Answer:
B 4456448444424346464646464664646464
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
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.
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%
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
An ordinary dice is rolled. What is the probability that the number
of dots on the upper face is -
(a) 3
(c) an even no
(b) less than 3
(d) 7
Answer:
A) 1/6
B) 1/3
C)1/2
D) 1/6
Answer:
1/6 , 1/3 , 1/2 , 0Step by Step Explanation:An ordinary die has numbers from 1 to 6
Number of dots on the face = number that face represent
Dots on face can be 1 , 2 , 3 , 4 , 5 , 6
1. Number of 3 DotsProbaility = 1/6
2. Number of Dots less than 3 = 1 or 2 DotsProbability = 2/6 = 1/3
3 . An even number = 2 , 4 , 6Probability = 3/6 = 1/2
4 7 Dots not possible HenceProbability = 0
Learn more:A die is rolled. What is the probability that the number appearing on ...
brainly.in/question/4334466An unbiased die is thrown .what is the probability of getting a ...
brainly.in/question/7707663¿ Cómo surge la estadística?
Answer:
surgiendo dah
jjhhjjklnt7ikkkkvvh
Answer:
Los métodos matemáticos de la estadística surgieron de la teoría de probabilidades, la cual tiene sus raíces en la correspondencia entre Pierre de Fermat y Blaise Pascal (1654). ... En su libro, Bernoulli introdujo la idea de representar certeza completa como el número 1 y la probabilidad como un número entre cero y uno.
answer Pls Gyys Options i
Answer:
Step-by-step explanation:
1301/100 is the correct answer
Write your answer in scientific notation.
(5.1x10^7)+(1.3 x 10^6)
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:
a worded math problem that = 5
Answer:
Seven take away two is equals to five
Step-by-step explanation:
Because,
Seven take away two is equals to five
is the same to
7 - 2 = 5
What is the ratio of the length of the rectangle to its width. 24 and 20
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 :)........