Step-by-step explanation:
F[G(x)]=2(3x+2)-1= 6x+4-1= 6x +3
F[x]=2x-1
F[G(x)] - F(x)=6x+3-(2x-1)=6x+3-2x-1
=4x+2
answer=4x+2
Answer: A
Step-by-step explanation:
[tex]F(x)=2x-1\\G(x)=3x+2\\\\F(G(x))-F(x)=F(3x+2)-(2x-1)\\\\=2*(3x+2)-1-2x+1\\\\=6x+4-2x\\\\=4x+4\\\\\\Answer\ A[/tex]
Find the x-intercept and y-intercept of the line.
4x+5y= -20
Answer:y-intercept = -20/5 = -4 x-intercept = -20/4 = -5
Step-by-step explanation:
Answer:
x- intercept = - 5, y- intercept = - 4
Step-by-step explanation:
The x- intercept is where the line crosses the x- axis.
The y- coordinate of any point on the x- axis is zero
Substitute y = 0 into the equation and solve for x
4x + 5(0) = - 20
4x = - 20 ( divide both sides by 4 )
x = - 5 ← x- intercept or (- 5, 0 ) in coordinate form
The y- intercept is where the line crosses the y- axis
The x- coordinate of any point on the y- axis is zero
Substitute x = 0 into the equation and solve for y
4(0) + 5y = - 20
5y = - 20 ( divide both sides by 5 )
y = - 4 ← y- intercept or (0, - 4 ) in coordinate form
Can you answer this, please?
Answer: C) 3
Explanation:
The degree of a single variable polynomial is the largest exponent, which in this case is 3.
Which expression represents the number of sides in the polygon for the nth member of the sequence?
A) n+2
B) 2n + 1
C) 4n-3
D) 3n+2
Answer:
The answer is n+2.Step-by-step explanation:
I hope U like my answer and my answer helped U....Answer:
n+2 represemts the number of sides in the polygon for the nth member of the sequence
How many solutions are there to the equation below?
9x + 16 = 4x
A. infinitely many
B. 1
C. 0
Step-by-step explanation:
Infinitely many solutions are there....
hope it helps
5. Classify the number 15.
O Whole, integer, rational, real
Integer, rational, real
O Natural, whole, integer, rational, real
O rational, real
Answer:
O Natural, whole, integer, rational, real
Step-by-step explanation:
it can be expressed as a fraction of 45/3, which means that it is rational.
it is a whole number because it does not contain a fraction or decimal.
it is a real number because it is a number we normally use such as 1, -0.1, 3/4, etc
it is a natural number because it is a positive integer.
and it is an integer because it does not contain a decimal.
Answer: Natural, whole, integer, rational, real
I'll give brainliest!! I put this up nearly an hour ago and got no answers
Answer:
The integers are
1st: n
2nd: n + 1
3rd: n + 2
The words in the problem statement translate into
2(n + 1) = 3(n + 2) + 6
Solve for n.
2n + 2 = 3n + 12
n = -10
n + 1 = -9
n + 2 = -8
Step-by-step explanation:
14 +3n = 8n - 3(n - 4)
Answer:
n=1
Step-by-step explanation:
Start by distributing the -3 to (n-4)
14+3n=8n-3n+12
Then combine like terms on the right
14+3n=5n+12
Subtract 12 from both sides
2+3n=5n
Subtract 3n from both sides
2=2n
Divide both sides by 2
1=n
f(4) =
If g(x) = 2, x =
Answer:
f(4)=-10
x=0 if g(x)=2
i hope you will understand it
Divide. Write your answer in simplest form. −8/9÷(−8/9)=
Answer:
[tex] - \frac{8}{9} \div ( - \frac{8}{9} ) \\ - \frac{8}{9} \times ( - \frac{9}{8} ) \\ = 1[/tex]
I hope I helped you^_^
Find the 68th multiple of 89, if the 69th multiple is 6141.
Answer:
6141 - 89 = The 68th multiple (6052)
Visual Pantom 2
What would the 10th case look like?
• How many cirdes would be in the 10th case?
• How many cirdes would be in the 100th case? What would it look like?
• How many cirdes would be in the zero case? • What would it look like?
• Can you model the pattern with an expression?
A tree casts a shadow of 45 feet. If the angle of elevation to the top of the tree is 50º,
how tall is the tree?
Answer:
95
Step-by-step explanation:
add 50,45
Pringle's variety pack 18 cups for $6.48 cost per cup
Answer:
0.36
Step-by-step explanation:
A triangle has three angles. The first angle measures 20 less than a number. The second triangle is three
times the number. The third is the number. What are the measurements of each of the three angles in this
triangle?
Answer:
first angle is 20, 2nd is 120, 3rd is 40.
Step-by-step explanation:
with these words, "20 less than a number, Three
times the number, is the number." We can set up the equation x-20+3x+x = 180. combine like terms and we get 5x-20=180. add 20 to both sides to get 5x=200 then divide 200 by 5x to get x = 40. We can then plug 40 into each of the expressions, x-20, 3x, x, to get our angles.
help me with my homework
Answer:
a because I dont know why but some one told me it was this
Answer: A. There are three terms
Concept:
In an algebraic expression, there are several specific terms:
Constant: the individual number that has no variable with it, or in east word, it is isolated.Variable: any unknown value, which is usually presented by alphabets.Coefficients: the numbers that are bounded with a variable, usually in front of a variable.Terms: the number of individuals present in the expression, which is constants and [variable + coefficients].Like terms: terms that have the same variables and powers.If you are still confused, you may refer to the attachment below for a graphical explanation.
Solve:
a. There are three terms. [tex]\boxed{FALSE}[/tex]
- 14b
- -7
- 8b
- b
There are in total four individuals, which means there are four terms.
b. There is one constant term. [tex]\boxed{TRUE}[/tex]
- 14b is a [variable + coefficient]
- -7 is a [constant]
- 8b is a [variable + coefficient]
- b is a [variable]
Therefore, there is one constant term.
c. The coefficients are 14, 8, and 1 [tex]\boxed{TRUE}[/tex]
- 14b →→→ 14 is the [coefficient]
- -7 →→→ is a [constant]
- 8b →→→ 8 is the [coefficient]
- b →→→ 1 is the [coefficient]
Therefore, 14, 8, and 1 are coefficients.
d. Three of the terms are like terms [tex]\boxed{TRUE}[/tex]
- 14b →→→ b is the [variable]
- -7 →→→ is a [constant]
- 8b →→→ b is the [variable]
- b →→→ b is the [variable]
Since 14b, 8b, and b share the common variable, there are three like terms.
Hope this helps!! :)
Please let me know if you have any questions
if a = 3i - 4j, b = 2i - 5j and c = λi + μj
where λ and μ are scalar quantities, find the λ and μ such that λc = 2a + 3b
Answer:
hi,
Step-by-step explanation:
[tex]\left\{\begin{array}{ccc}a&=&3*\vec{i}-4\vec{j}\\b&=&2*\vec{i}-5\vec{j}\\c&=&\lambda*\vec{i}+\mu*\vec{j}\\\end{array}\right.\\\\\\\lambda*c=2a+3b\\=2*(3*\vec{i}-4\vec{j})+3*(2*\vec{i}-5\vec{j})\\=12*\vec{i}-23\vec{j}\\=\lambda*(\lambda*\vec{i}+\mu*\vec{j})\\\\\\\left\{\begin{array}{ccc}\lambda^2&=&12\\\lambda*\mu&=&-23\end{array}\right.\\\\\\\left\{\begin{array}{ccc}\lambda&=&2\sqrt{3}\\\mu&=&\dfrac{-23*\sqrt{3} }{6} \\\end{array}\right.\\[/tex]
Jocelyn is going to the amusement park, where she has to pay a set price of admission
and another price for tickets to go on each of the rides. The total amount of money
Jocelyn will spend is given by the equation y 3.5x + 28, where y represents the
total amount of money, in dollars and cents, and x represents the number of rides
Jocelyn goes on. What could the number 28 represent in the equation?
Could you please solve this problem? Thank you so much.
Step-by-step explanation:
the answer is in the image above
Multiply. Write your answer as a fraction in simplest form. −1/4×(−4/3)=
Answer:
[tex]\frac{1}{3}[/tex]
Step-by-step explanation:
Given
- [tex]\frac{1}{4}[/tex] × - [tex]\frac{4}{3}[/tex] ( negative times negative = positive )
= [tex]\frac{1}{4}[/tex] × [tex]\frac{4}{3}[/tex] ( cancel the 4 on the numerator and denominator )
= [tex]\frac{1}{3}[/tex]
What is the solution to the equation 1/4x - 1/8 = 7/8 + 1/2x ?
A. x = -5
B. x = -4
C. x = 4
D. x = 5
Hey there! I'm happy to help!
We want to get all of the variables on the left side and all of the numbers on the right side. This will allow our variable to be isolated so we can see what it is equal to.
1/4x - 1/8 = 7/8 + 1/2x
We add 1/8 to both sides.
1/4x=1+1/2x
We subtract 1/2x from both sides.
-1/4x=1
We divide both sides by -1/4 (same thing as multiplying -4).
B. x=-4
Have a wonderful day and keep on learning! :D
please help!!! i cant figure it out
Step-by-step explanation:
Hi there!
Given;
f(x) = 17x + 9
h(x) = 4x
To find: f(x)-h(x)
f(x)-h(x)= 17x + 9 - 4x
= 13x + 9
Therefore, f(x)-h(x) = 13x + 9.
Hope it helps!
Prove this
sinx/cosecx-cotx = 1+cosx
Answer:
= sin x
1
−
cos
x
(
1
+
cos
x
1
+
cos
x
)
-multiply by the conjugate
=
sin
x
+
sin
x
cos
x
1
−
cos
2
x
-distribute
=
sin
x
sin
2
x
+
sin
x
cos
x
sin
2
x
-use property
sin
2
x
+
cos
2
x
=
1
=
1
sin
x
+
cos
x
sin
x
-simply
=
csc
x
+
cot
x
=
Right Hand Side
Step-by-step explanation:
i need help ;^; please
Answer:
80
Good luck :)
Answer:
80
Step-by-step explanation:
[tex]\sqrt{a} * \sqrt{b} = \sqrt{ab}[/tex]
[tex]\sqrt{6400}[/tex]
6400 = 2 * 2 * 2 * 2 * 2 * 2 * 2 *2 * 5 * 5
= 2^8 * 5^2
2^4 * 5
16*5 = 80
What numbers are 3 units from -2 on a number line?
A number line ranging from negative 10 to positive 10
Select from the drop-down menus to correctly complete the statements.
______is 3 units left from -2 on a number line.
______- is 3 units right from -2 on a number line.
The answers are
-1
-5
1
5
please hurry
Answer:
___-5___is 3 units left from -2 on a number line.
___1___- is 3 units right from -2 on a number line
Find type of angle and solve for x.Please help.
Step-by-step explanation:
72° and a° is the angle of a straight line so
a+72°=180
a=180-72
a=108°
By using alternate exterior angle definition:
7x+24=180
7x=108-24
7x=84
x=84/7
x=12
Help me with this math question plss
Answer:
C. 8/17
Step-by-step explanation:
PM = 16+14 = 30 cm
KP= LN = 16×tan45° = 16×1 = 16cm
by using pythagorean theorem, we find :
KM² = PM²+KP²
= 30²+16²
= 900+256
= 1156
=> KM =√1156 = 34cm
so, cos theta = KP/KM = 16/34 = 8/17
Find the coordinates of the midpoint
Answer:
(2,2)
Step-by-step explanation:
(5+-1/2,8+-4/2)
(-2,2)
A cookie company expanded its standard package of 36 cookies to include 4 extra cookies of a brand new flavor. If all of the cookies from an expanded package were put in a container and one were selected at random, what is the probability that it will be a cookie of the new flavor?
Answer:
1/9 probability
Step-by-step explanation:
The total cookies are 36 and the new flavors are 4, if you simplify 4/36, it equals 1/9
i need help!!!! what does x equal?
Answer:
17
Step-by-step explanation:
Answer:
x = 17
Step-by-step explanation:
We can find the missing angle inside the triangle by doing 180 - 94 = 86.
Every triangle has 3 angles that add up to equal 180 so we can set these three angles to equal 180.
60 + 86 + 2x = 180
146 + 2x = 180
Subtract 146 from both sides
2x = 34
Divide by 2 to isolate x
x = 17
Please help me with this problem
[tex] \sqrt{11} \: lies \: between \: 3 \: and \: 4[/tex]
Answer:
Lies between 3&4
See THE IMAGE FOR SOLUTION